What is the equation of the graphed line written in standard form?

a. 2x - y = -4
b. 2x - y = 4
c. y = 2x - 4
d. y = 1/2x - 4

What Is The Equation Of The Graphed Line Written In Standard Form?a. 2x - Y = -4b. 2x - Y = 4c. Y = 2x

Answers

Answer 1

Answer:

answer is

c. y = 2x - 4

Step-by-step explanation:

y=mx+b is standard, b is also correct but not in standard form, hope this helps


Related Questions

Many fences in a rectangular area for his dog to play in the backyard. The area measures 35 yards by 45 yards .What is the length of fence that Manny uses a) 1,575 yards b) 160 yards c) 80 yards d) 35 yards​

Answers

On solving the provided question we can say that Manny would thus require 160 yards of fencing to surround the rectangular plot.

What is perimeter?

A boundary is a closed route that embraces, encircles, or delimits a two-dimensional form or length in one dimension. The perimeter of a circle or an ellipse is its outermost section. The perimeter calculation is used in a variety of real-world situations. The perimeter of a form is the radius of its edge. Discover how to calculate the perimeter by adding the lengths of the sides of various shapes. The perimeter of a shape may always be calculated by multiplying the lengths of its sides. The perimeter of a thing is the region that surrounds it. At your house, one example is an enclosed garden. The distance around anything is referred to as its perimeter. A 200-foot fence will be required for a 50-foot-by-50-foot yard.

P = 2(l + w), where l is the length and w is the width, gives the perimeter of a rectangle.

The length in this example is 35 yards, while the breadth is 45 yards. So,

[tex]P = 2(35 + 45)\\= 2(80)\\= 160 yards\\[/tex]

Manny would thus require 160 yards of fencing to surround the rectangular plot.

As a result, option (b) 160 yards is the right answer.

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i need help please!!!

Answers

Five points on the inverse function g(x) = log₄(x) are: (1, 0), (4, 1), (16, 2), (1/4, -1/2), and (2, 0.5).

Finding five points on the function

Given that

f(x) = 4^x.

To find the inverse of the function f(x) = 4^x,

We need to interchange the positions of x and y and solve for y. So, we have:

x = 4^y

Taking the logarithm base 4 of both sides, we get:

y = log₄(x)

Therefore, the inverse of the function f(x) = 4^x is g(x) = log₄(x)

To find five points on the inverse function g(x), we can choose five x-values and find the corresponding y-values:

If x = 1, then g(x) = log₄(1) = 0, so the point is (1, 0).

If x = 4, then g(x) = log₄(4) = 1, so the point is (4, 1).

If x = 16, then g(x) = log₄(16) = 2, so the point is (16, 2).

If x = 1/4, then g(x) = log₄(1/4) = -1/2, so the point is (1/4, -1/2).

If x = 2, then g(x) = log₄(2) ≈ 0.5, so the point is (2, 0.5).

Therefore, five points on the inverse function g(x) = log₄(x) are: (1, 0), (4, 1), (16, 2), (1/4, -1/2), and (2, 0.5).

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8 6 points Create an equation that represents the relationship between x and y in the table. HAAA #1 X y 488.8 -1 -2 10 y = 8 Answer -8 0 8 X + 2 6 Answe 4 4​

Answers

The equation is given as y = -x + 8

What is the purpose of equation?

The purpose of an equation is to find the value of the variable that makes the equation true. Equations are used in various fields of mathematics and science to represent relationships between different quantities and to solve problems.

To create an equation that represents the relationship between x and y in the table, we need to first determine the pattern or trend in the data.

From the given data, we can see that as x increases by 2, y decreases by 2. This suggests that there is a linear relationship between x and y.

Using the two points (-2,10) and (0,8), we can find the slope:

m = (y2 - y1) / (x2 - x1) = (8 - 10) / (0 - (-2)) = -1

Now that we have the slope, we can use any point on the line to find the y-intercept. Let's use the point (0,8):

8 = (-1)(0) + b

b = 8

Therefore, the equation that represents the relationship between x and y in the table is:

y = -x + 8

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Find the margin of error for a survey that has a sample size of 6400.

Answers

The margin of error for a survey with a sample size of 6400 and a 95% confidence level is approximately 1.6%.

What is confidence level?

Confidence level is a statistical concept that measures the degree of certainty or reliability associated with an estimate, such as the mean, proportion, or regression coefficient, derived from a sample of data.

According to question:

The margin of error (ME) for a survey depends on several factors, including the size of the sample, the level of confidence desired, and the population size (if applicable). Assuming a 95% confidence level, a sample size of 6400, and no information about the population size, the formula for calculating the margin of error is:

ME = 1.96 × √[(p × q) / n]

where:

1.96 is the z-score associated with a 95% confidence level

p is the estimated proportion of the population that has the characteristic of interest (this is usually unknown and is typically replaced with 0.5 to get the maximum possible margin of error)

q is 1 - p

n is the sample size

Assuming a conservative estimate of p = 0.5, we have:

ME = 1.96 × √[(0.5 × 0.5) / 6400]

≈ 0.016 or 1.6%

Therefore, the margin of error for a survey with a sample size of 6400 and a 95% confidence level is approximately 1.6%. This means that if the survey were conducted multiple times using the same sample size and methodology, the results would likely differ by no more than 1.6% in either direction (plus or minus) from the true population value.

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Can someone help proving these three distributions?How to get them

Answers

The proof of the three distributions as required as shown in the explanation part.

What are the proof of the three distributions?

For x² distribution:

Let's start with the sample variance, which is defined as:

s^2 = ∑(y_i - y_bar)² / (n-1)

where;

y_i is the i-th observation in the sample, y_bar is the sample mean, and n is the sample size.

We can rewrite this formula as:

s^2 = (∑y_i² - n*y_bar²) / (n-1)

Multiplying both sides by (n-1)/σ², we get:

s^2 / σ² = (∑y_i² - ny_bar²) / (σ²(n-1))

Now, let's define a new variable:

x² = ∑y_i² / σ²

Substituting x² into the above equation, we get:

s^2 / σ² = (x² - n*y_bar²/σ²) / (n-1)

Notice that n*y_bar²/σ² is just the sample mean squared in units of variance. We can rewrite it as:

n*y_bar²/σ² = (y_bar - μ)² / (σ²/n)

where;

μ is the population mean.

Substituting this into the above equation, we get:

s^2 / σ² = (x² - (y_bar - μ)² / (σ²/n)) / (n-1)

Now, let's define a new variable:

ss = ∑(y_i - y_bar)² / σ²

Substituting ss into the above equation, we get:

s^2 / σ² = (x² - ss/(n-1)) / n

This is the desired result. We have shown that s²/σ² follows a x² distribution with n-1 degrees of freedom.

For t distribution:

Let's start with the sample mean, which is defined as:

y_bar = ∑y_i / n

We can rewrite this formula as:

y_bar - μ = (∑y_i - n*μ) / n

Now, let's define a new variable:

t = (y_bar - μ) / (s/√n)

where;

s is the sample standard deviation.

Substituting y_bar - μ and s into the above equation, we get:

t = (∑y_i - nμ) / (s√n)

This is the desired result. We have shown that t follows a t distribution with n-1 degrees of freedom.

For F distribution:

Let's start with the sample variances, which are defined as:

s₁² = ∑(y_i - y₁)² / (n₁-1)

s₂² = ∑(y_i - y₂)² / (n₂-1)

where;

y₁ and y₂ are the sample means, and n₁ and n₂ are the sample sizes.

We can rewrite these formulas as:

s₁² = (ss₁ - n₁*(y₁-μ)²) / (n₁-1)

s₂² = (ss₂ - n₂*(y₂-μ)²) / (n₂-1)

where;

μ is the population mean, and ss₁ and ss₂ are the sum of squares within each sample:

ss₁ = ∑(y_i - y₁)²

ss₂ = ∑(y_i - y₂)²

Dividing these equations, we get:

s₁² / s₂² = (ss₁ / (n₁-1)) / (ss₂ / (n₂-1))

Now, let's define a new variable:

F = s₁² / s₂

Substituting s₁² / s₂² into the above equation, we get:

F = (ss₁ / (n₁-1)) / (ss₂ / (n₂-1))

This is the desired result. We have shown that F follows an F distribution with (n₁-1) and (n₂-1) degrees of freedom.

It's worth noting that the F distribution is only defined for positive values. Therefore, if s₁² / s₂² is less than 1, we need to take the reciprocal of the above equation to ensure that F is positive:

F = (ss₂ / (n₂-1)) / (ss₁ / (n₁-1))

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1. Which expression is equal to 4^0x4²?
A. 0
B. 1
C. 16
D. 64

Answers

The expression 4^0x4² can be simplified using the exponent rules which state that any number raised to the power of 0 equals 1. Therefore, we have:

4^0x4² = 1 x 4² = 16

So, the expression is equal to 16, which is option C.

Concept: Exponents

Solution:

You want to simplify the expression 4⁰×4².

We will use basic exponent properties for this.

First bear in mind that anything to the power of 0 is 1.

So that means that 4⁰ = 1.

We're not done yet because we still need to simplify the other part:

4².

Don't forget that:

4² ≠ 4×2

Because

4² = 4×4 which is 16

So we have 1 times 16 or just 16.

Answer: choice "c": 16

Drag each tile to the correct box.
A scientist is studying the growth rates of three samples of bacteria in different conditions. The following three functions represent the number of bacteria in the three samples after x hours.


Sample A Sample B Sample C
x g(x)
0 60
1 120
2 240
3 480
Sample C starts
with 600 bacteria and
increases at a
rate of 20%.
f(x)=200(3/2)x^
Order the samples by their average growth rate over the interval [1, 3], from least to greatest.

Sample C
Sample A
Sample B

pleaseeee help thank youuu

Answers

we can see that the growth rate increases as x increases. However, since we are only interested in the average growth rate over the interval [1, 3], we can calculate it using the formula mentioned above.

How to solve the question?

To determine the average growth rate of each sample over the interval [1, 3], we need to calculate the ratio of the change in bacteria population to the change in time for each sample, and then take the average of these ratios over the given interval.

For Sample A, the change in bacteria population over the interval [1, 3] is 480 - 120 = 360, and the change in time is 3 - 1 = 2. So the average growth rate of Sample A over this interval is 360/2 = 180 bacteria per hour.

For Sample B, the change in bacteria population over the interval [1, 3] is 480 - 240 = 240, and the change in time is 3 - 1 = 2. So the average growth rate of Sample B over this interval is 240/2 = 120 bacteria per hour.

For Sample C, the change in bacteria population over the interval [1, 3] is (1.2600)(1.2*1.2 - 1) = 345.6, and the change in time is 3 - 1 = 2. So the average growth rate of Sample C over this interval is 345.6/2 = 172.8 bacteria per hour.

For Sample A, the growth rate is the highest, followed by Sample C and then Sample B. Therefore, the order of the samples by their average growth rate over the interval [1, 3] from least to greatest is Sample C, Sample A, and Sample B.

It's important to note that the growth rate of Sample C is not constant but increases over time due to the 20% increase in the initial bacteria population. The exponential function f(x) = 200(3/2)in power x represents this growth, and we can see that the growth rate increases as x increases. However, since we are only interested in the average growth rate over the interval [1, 3], we can calculate it using the formula mentioned above.

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Your complete question is :-A scientist is studying the growth rates of three samples of bacteria in different conditions. The following three functions represent the number of bacteria in the three samples after x hours.

Sample A Sample B Sample C

x g(x)

0 60

1 120

2 240

3 480

Given the following Confidence Interval for the population mean μ : ( 168.685, 177.315),
find the sample mean used to obtain it

Answers

according to the question the sample mean used to obtain the confidence interval was 173.

What is mean?

The arithmetic means (in contrast to the geometrical mean) of a dataset is the average of all values split by the total amount of values. The most popular way to measure central tendency is with the "mean," which is widely utilised. This is obtained by dividing the number of values in the dataset by the total number of all the values. Either raw information or information that has been included in frequency tables can be used for calculations. The average of a number is known as the average. Simple math can be used to determine: After summing up all the digits, divide by the number of digits. the sum divided by the number.

given,

The confidence interval's midpoint is determined by the sample mean. Therefore, to find the sample mean, we add the lower and upper bounds of the confidence interval and divide by 2:

Sample mean = (Lower bound + Upper bound)/2

Sample mean = (168.685 + 177.315)/2

Sample mean = 173

Therefore, the sample mean used to obtain the confidence interval was 173.

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What is the y-intercept for this line?

-4/3 x + (-1) = y

Answers

Answer:

0,-1

Step-by-step explanation:

Hope this helps! =D

Brainliest! =D

Answer:

-1

Remember y=mx+b

m is your slope and b is your y-int
m = -4/3

b = -1

How many Cube Cs will fit into Cube A. Enter the max amount.

Answers

Answer:

27 cubes

Step-by-step explanation:

The volume of Cube A is 1 cubic centimeter. The volume of one Cube C is 1/27 of a cubic centimeter. So 27 Cube C's will fit into Cube A.

An individual depositing in a non-IRA account has to pay income taxes on the funds deposited and on interest earned in each year but does not have to pay taxes on withdrawals from the account.

Sarah, who is five years from retirement, receives a $10,000 bonus at work. She is trying to decide whether to save this extra income in an IRA account or in a regular savings account. Both accounts earn 8 percent nominal interest, and Sarah is in the 30 percent tax bracket in every year (including her retirement year)

If Sarah invests in the normal savings account, her net value (after taxes) five years from now will be?:

Answers

After five years, her IRA account's net worth (after taxes) will indeed be $14,322.88 ($10,000 + $4,322.88).

What do you mean by interest earned?

Sarah will be required to file taxes just on interest received each year if she places the $10,000 inside a standard savings account, which will lower her net worth.

She will have earned $800 in pre-tax interest every year, assuming she receives nominal interest of 8% annually.

She will, however, be liable for $240 in taxes just on interest generated each year (30% of $800) since she falls into the 30% tax bracket.

Her pre-tax interest earnings after five years will total $4,000 ($800 x five years). She will still have paid $1,200 in total in taxes just on interest generated ($240 x 5)

She will therefore have a net worth of $12,800 ($10,000 + $4,000 - $1,200) in the normal savings account after five years (after taxes).

Sarah won't have to pay taxable income on the $10,000 invested in such an IRA account or the interest accrued until she starts taking distributions in retirement.

She will have earned $800 in pre-tax interest every year, assuming she receives nominal interest of 8% annually.

She will have the whole $800 to reinvest & compound each year, though, as she is not subject to income taxation on the interest gained each year.

She will have earned $4,322.88 in pre-tax interest after five years, and she won't have to pay any taxes until she starts taking withdrawals in retirement.

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According to government data, 20% of employed women have never been married. Assume an SRS of seven employed women are selected and asked if they have ever been married.

a. What is the random variable X of interest here? Define X.

b. Out of the 7 employed women selected at random, what is the probability that exactly 2 have never been married? (Show your work below) _________

c. Out of the 7 employed women selected at random, what is the probability that 2 or fewer have never been married? ___________

d. What are the mean and standard deviation of X?

Mean:_________ Standard Deviation _________

Answers

a. The total quantity of employed women among the sample of 7 who are not married yet is the random variable X of interest in this situation. b) Probability = 0.2749.

What is binomial distribution?

The number of successes in a defined number of independent trials with two possible outcomes (success or failure) and a constant probability of success are described by a discrete probability distribution called a binomial distribution. The number of trials (n) and the likelihood that a trial will succeed (p) serve as the two parameters that define the binomial distribution.

a. The total quantity of employed women among the sample of 7 who are not married yet is the random variable X of interest in this situation.

b) The probability of 2 women who have never been married is:

P(X = 2) = (7 choose 2) * (0.2)² * (0.8)⁵

P(X = 2) = 21 * 0.04 * 0.32768

P(X = 2) = 0.2749

c) For 2 or fewer have never been married:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X ≤ 2) = (7 choose 0) * (0.2)⁰ * (0.8)⁷ + (7 choose 1) * (0.2)¹ * (0.8)⁶ + (7 choose 2) * (0.2)² * (0.8)⁵

P(X ≤ 2) = 0.0577 + 0.2013 + 0.2749

P(X ≤ 2) = 0.5339

d) The mean is given as:

μ = np

Substitute n = 7 and p = 0.2:

7 * 0.2 = 1.4

Now, the standard deviation is given as:

σ = √(np(1-p)) = √(7 * 0.2 * 0.8) = 1.0198

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100 POINTS + BRAINLIEST
A teacher hires a coach for a school trip. The cost is worked out using the
formula C =
m
3 + 40, where C is the cost in pounds and m is the number of
miles the coach travels.
(a) Calculate how much it would cost to hire the coach to travel a distance of
42 miles.
b) If the cost of the hire is £75,how many miles does the coach travel?

Answers

(a) To calculate the cost of hiring the coach for a distance of 42 miles, we need to substitute m = 42 into the formula:

C = (42/3) + 40
C = 14 + 40
C = 54

Therefore, it would cost £54 to hire the coach to travel a distance of 42 miles.

(b) To calculate the number of miles the coach travels for a cost of £75, we need to rearrange the formula to make m the subject:

C = m/3 + 40
m/3 = C - 40
m = 3(C - 40)

Now we can substitute C = £75 into the formula:

m = 3(75 - 40)
m = 3(35)
m = 105

Therefore, the coach would travel 105 miles for a cost of £75.

Answer:

(a) To calculate how much it would cost to hire the coach to travel a distance of 42 miles, we can substitute m = 42 into the formula and solve for C:

C = (42/3) + 40

C = 14 + 40

C = 54

Therefore, it would cost £54 to hire a coach to travel 42 miles.

(b) To find how many miles the coach travels if the cost of the hire is £75, we can set the formula equal to 75 and solve for m:

75 = (m/3) + 40

35 = m/3

m = 105

Therefore, the coach travels 105 miles if the cost of the hire is £75.

17. A babysitter charges a fee for every hour they work. Which statement below could be a
description of the point (1, 8) from this situation?

Answers

The point (1, 8) would then represent that the babysitter charges $8 per hour

Which statement could be a description of the point (1, 8)

The point (1, 8) in this situation could mean that the babysitter charges $8 for one hour of work.

In general, when working with a fee-per-hour situation, we can use the slope-intercept form of a linear equation, y = mx + b,

Where y represents the total fee, x represents the number of hours worked, m represents the rate (fee per hour), and b represents the initial fee (fee for zero hours worked).

If we assume that the initial fee is $0, then the equation for the babysitter's fee would be y = mx, where m is the hourly rate.

The point (1, 8) would then represent that the babysitter charges $8 per hour, since when x = 1 (one hour of work), y = 8 (the fee for one hour).

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Which of the following graphs is decreasing when x > 3?
PLEASE HELP ASAP! EXTRA POINTS!! I BEG HELP ME‼️‼️ (please click the picture and pick one GRAPH) PLEASE

Answers

Answer:

  A.  X

Step-by-step explanation:

You want to know which graph is decreasing for x > 3.

Decreasing

A graph is decreasing when it slopes down to the right. The only graph in the group that has any decreasing portion is graph X. The decreasing part of that graph is to the right of x = 3, where x > 3.

Graph X is the one you want.

__

Additional comment

All the other graphs are increasing everywhere, so aren't even worth any consideration.

A recipe that uses 1/2 pound of almonds makes 5/6 cup of almond butter.
Which is a reasonable estimate for the amount of almond butter the recipe makes per pound of almonds?
a) less than 1 1/2 cup of almond butter
b) between 1 1/2 and 2 cups of almond butter
c) more than 2 cups of almond butter​

Answers

Answer: C

Step-by-step explanation:

1/2 pound of almonds = 5/6 cup of almond butter

To find out how much almond butter 1 pound of almonds will make, we need to multiply both sides of the equation by 2:

1 pound of almonds = (2 × 1/2) pounds of almonds = 2 × 5/6 cups of almond butter

Simplifying, we get:

1 pound of almonds = 5/3 cups of almond butter

So, a reasonable estimate for the amount of almond butter the recipe makes per pound of almonds is more than 2 cups of almond butter. Therefore, the answer is (c) more than 2 cups of almond butter.

Answer: b) between 1 1/2 and 2 cups of almond butter

Step-by-step explanation:

We can create a proportion to help us solve this question.

         [tex]\displaystyle \frac{\frac{1}{2} lbs\;almonds}{\frac{5}{6}lbs\;butter } =\frac{1lbs\;almonds}{xlbs\;butter}[/tex]

Now we can cross multiply.

         [tex]\displaystyle \frac{1}{2} *x=\frac{5}{6} *1[/tex]

         [tex]\displaystyle \frac{1}{2}x =\frac{5}{6}[/tex]

Next, we will divide both sides of the equation by one-half.

         [tex]\displaystyle x =\frac{5}{6}\div \frac{1}{2}[/tex]

         [tex]\displaystyle x =\frac{5}{6}* \frac{2}{1}[/tex]

         [tex]\displaystyle x =\frac{10}{6}[/tex]

Lastly, we will find which answer option this falls under by creating an improper fraction. This leads us to answer optoin b, b) between 1 1/2 and 2 cups of almond butter.

         [tex]\displaystyle 10-6=4\text{, so } 1\frac{4}{6} =1\frac{2}{3}[/tex]

Use the table, which shows the number of sofas sold at a furniture store over 5 months. The number of sofas sold in June is 597.


Furniture Store Sofa Sales
January 255
February 234
March 263
April 229
May 248

How does the median change with the new piece of data?

Answers

We know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

What is the median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it.

Arrange in ascending order:

229 234 248 255 263

When, odd terms are there then the middle term is the median:

Median: 248

New Median:

229 234 248 255 263 597

When there are even terms we will add the middle two terms and divide it by 2 as follows:

248+255/2

Median: 251.5

Median change: 251.5 - 248 = 3.5

Therefore, we know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

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A baby weighs 4kg when he is born. One week later he weighs 8% less than his birth weight.

a) How much does the baby weigh when he is one week old?
b) The baby gains 200g every two weeks for the next eight weeks. How much does the baby weigh when he is nine weeks old?

Answers

Answer:

a)3.68kg

b)900g

Step-by-step explanation:

a) First off we know that he weighs 4kg now and he weighed 8% less the next week. 8% of 4kg=0.32kg. We then have to subtract 0.32 kilograms from the original weight. 4-0.32=3.68

Your answer for A is 3.68 kg

b) If the baby gains 200g every two weeks, assuming it's a constant rate, he should gain 100g every week. 100*9weeks=900g.

A garden is in the shape of a square with a perimeter of 64 feet. The garden is surrounded by two
fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the
first fence on the outside. If the material used to build the two fences is $1.26 per foot, what was the
total cost of the fences?

Answers

The perimeter of a square is the sum of its sides and they are all equal, so to obtain the length of each of them we divide the perimeter of the first fence between 4:

[tex]\text{P1}= \dfrac{\text{64 feet}}{\text{4 sides}}[/tex]

[tex]\text{P1}= 16 \ \text{feet}[/tex]

Then, the length of each side of the second fence will increase 2 feet at each end, as shown in the figure. We have then that the perimeter of the second fence is:

[tex]\text{P2 = 20 feet} \times \text{4 sides}[/tex]

[tex]\text{P2 = 80 feet}[/tex]

The sum of the perimeters of both fences is:

[tex]\text{PT = P1 + P2}[/tex]

[tex]\text{PT = 64 feet + 80 feet}[/tex]

[tex]\text{PT = 144 feet}[/tex]

Total cost = $1.26 x 144 feet

Total cost = $181.44

The total cost of the fences was $181.44

At how many square feet will both companies be at the same amount

Answers

If the yard is 2000 feet², both companies will charge the same price.

What is amount?

In mathematics, the word "amount" is a broad one that refers to the size or quantity of something, typically given as a numerical value.

It can be used in a number of circumstances where there is a concern with money, measurements, or the quantity of an item.

We must assume both organisations' expenses to be equal and then solve for the yard size to determine the point at which their costs are equal.

Let's assume that x is the yard size at which expenses are equal.

7.5x + 24.5 = 16x + 23.5

When we simplify this equation, we obtain:

0.5x = 1

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Let a =⟨–7, 3⟩ and b =⟨–2, –12⟩, and c = a + b. What is the magnitude and direction angle of c?

Answers

Answer: direction angle of c is pi/4.

Step-by-step explanation: We can find c by adding the corresponding components of a and b:

c = a + b = ⟨–7, 3⟩ + ⟨–2, –12⟩ = ⟨–9, –9⟩

To find the magnitude of c, we can use the formula:

|c| = sqrt(c1^2 + c2^2)

where c1 and c2 are the x- and y-components of c, respectively. In this case, we have:

|c| = sqrt((-9)^2 + (-9)^2) = sqrt(162) = 9sqrt(2)

To find the direction angle of c, we can use the formula:

theta = atan(c2 / c1)

where theta is the angle between the positive x-axis and the vector c. In this case, we have:

theta = atan((-9) / (-9)) = atan(1) = pi/4

So the direction angle of c is pi/4.

Therefore, the magnitude of c is 9sqrt(2) and the direction angle of c is pi/4.

Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six

Answers

Therefore , the solution of the given problem of expression comes out to be 6.5 is the abbreviated numerical expression.

What is an expression?

Shifting numbers, which can be expanding, variable diminishing, or blocking, should be used instead of random estimations. Only through exchanging goods like tools, expertise, or answers to problems could they assist one another. The explanation on the reality equation may include the justifications, elements, or mathematical claims for tactics like increased argumentation, falsification, and blending.

Here,

The mathematical expression is expressed as follows:

=> 42 / 7 + (3 / 6)

We can use the division operations to make the expression simpler:

=> 7 /42 = 6

=> 6 / 3 = 0.5.

The statement is thus more easily expressed as follows

=> 6 + 0.5

When we add the two numbers, we get:

=> 6.5

Therefore, 6.5 is the abbreviated numerical expression.

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2+7•(-3)^2
Help me
How do I solve. ?

Answers

Answer:

To solve the expression 2 + 7 • (-3)^2, we follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we evaluate the exponent: (-3)^2 = 9 (because squaring a number means multiplying it by itself).

Next, we perform multiplication: 7 • 9 = 63.

Finally, we perform addition: 2 + 63 = 65.

So, the value of the expression 2 + 7 • (-3)^2 is 65.

Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

With this strategy, the ball will travel approximately 28.98 meters horizontally before it hits the ground.

How to solve

To solve this problem, we will need to find the time of flight and the horizontal velocity. We can use the following kinematic equations:

Vertical motion:

Maximum height: h = (v^2 * sin^2(angle)) / (2 * g)

Time of flight: t = 2 * v * sin(angle) / g

Horizontal motion:

Range: R = v * t * cos(angle)

Given:

Initial velocity (v) = 20 m/s

Angle = 45 degrees

Acceleration due to gravity (g) = 9.81 m/s²

Calculations:

Convert angle to radians: 45 degrees = 45 * (π/180) = 0.785 radians

Calculate time of flight: t = 2 * 20 * sin(0.785) / 9.81 = 2.04 seconds

Calculate horizontal range: R = 20 * 2.04 * cos(0.785) = 28.98 meters

So, with this strategy, the ball will travel approximately 28.98 meters horizontally before it hits the ground.

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A ball is thrown with an initial velocity of 20 meters per second at an angle of 45 degrees with respect to the horizontal. How far does the ball travel horizontally (range) before it hits the ground? Assume no air resistance.

50 Points! Multiple choice algebra question. Determine which pair of functions are inverse functions. Photo attached. Thank you!

Answers

The pair of the functions that are inverse is

A. f(x) = x - 4; g(x) = (x + 4)

How to find the inverse of the function

The inverse of the function is solved by the operations as follows

f(x) = x - 4 let y = f(x)

y = x - 4

solving for x

x = y + 4

interchanging the variables

y = x + 4  (this is the inverse)

the inverse x + 4 is equal to g(x) hence they are inverse functions

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helppp with this EXPONENTS - powers of products​

Answers

Answer:

Step-by-step explanation:

(3n³ + 2n)² = 9n^6 + 12n^4 + 4n^2

(4k² + 2k³) = 2k²(2 + k)

(3y²-y')' = 6y-y''

(4c+30) = 2(2c+15)

(2b² * b)² = 4b^6

(2gh²)* = 2gh^2

(6w³)² = 36w^6

Please help me write a summary of the 3 rules on segments
1) When 2 chords intersect inside a circle, and 4 segments are formed
2) When 2 secants intersect outside a circle, and 4 segments are formed
3) When 1 secant and 1 tangent intersect outside a circle, and 3 segments are formed

Answers

1. The rule states that the product of the lengths of the two segments of one chord equals the product of the lengths of the two segments of the other chord (i.e., (a1 x a2) = (b1 x b2), where a1 and a2 are segments of chord A, and b1 and b2 are segments of chord B).

2. The rule states that the product of the length of the external segment of one secant and the length of the entire secant equals the product of the length of the external segment of the other secant and the length of the entire secant (i.e., (e1 (e1 + i1)) = (e2 (e2 + i2)), where e1 and e2 are the external segments and i1 and i2 are the internal segments).

3.  The rule states that the square of the length of the tangent segment equals the product of the length of the external segment of the secant and the length of the entire secant (i.e., t^2 = e * (e + i), where t is the length of the tangent segment, e is the external segment, and i is the internal segment).

what are the 3 rules on segments all about?

The three rules of segments are:

A segment is a part of a line that consists of two endpoints and all the points between them.Two segments are congruent if they have the same length.A segment bisector is a line, segment, or ray that divides a segment into two equal parts, creating two congruent segments.

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The circumference of a circle is 20 cm. What is the
area, in square centimeters? Express your answer in terms
of TT.

Answers

The circumference of a circle whose area is 20π cm² in terms of pi is 8.94π centimeters.

What is the circumference of the circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

[tex]\text{A} = \pi \text{r}^2[/tex]

The circumference of a circle is expressed mathematically as;

[tex]\text{C} = 2\pi \text{r}[/tex]

Given that the area of the circle is 20π cm², we determine the radius of the circle.

[tex]\text{A} = \pi \text{r}^2[/tex]

[tex]20\pi \ \text{cm}^2 = \pi \times \text{r}^2[/tex]

[tex]\text{r}^2= \dfrac{ 20\pi \ \text{cm}^2}{\pi }[/tex]

[tex]\text{r}^2 = 20 \ \text{cm}^2[/tex]

[tex]\text{r} = \sqrt{20 \ \text{cm}^2}[/tex]

[tex]\text{r} = 4.47 \ \text{cm}[/tex]

Now, we determine the circumference of the circle.

[tex]\text{C} = 2\pi \text{r}[/tex]

[tex]\text{C} = 2 \times \pi \times 4.47 \ \text{cm}[/tex]

[tex]\text{C} = 8.94 \ \text{cm}\times\pi[/tex]

[tex]\text{C} = 8.94\pi[/tex]

Therefore, the circumference of the circle is 8.94π centimeters.

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Vivian Thomas is going to put insecticide on her lawn to control grubworms.
The lawn is a rectangle measuring 123.8 feet by 80 feet. The amount of insecticide required is 0.02 ounces per square foot. Find how much insecticide Vivian needs to purchase.

Answers

The amount of insecticide that Vivian needs to purchase

for the control of pest in the lawn would be = 198.08 ounces

How to calculate the area of the rectangular lawn?

To calculate the area of the rectangular lawn, the formula for the area of rectangle should be used. That is ;

Area = Length× width

Length = 123.8 feet

width = 80feet

Area = 123.8× 80 = 9,904ft²

But 0.02 ounces of insecticide = 1 ft²

X ounces = 9,904ft²

Make X the subject of formula;

X = 9904×0.02

= 198.08 ounces.

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At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 90 calls and a standard deviation of 20
calls. What is the probability that during a given hour of the day there will be between
91 calls and 134 calls, to the nearest thousandth?

Answers

Step-by-step explanation:

The number of non square numbers between 12square and 13square are

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