Marneashia has a total of 14 chickens . If she has 2 times as many chickens as dogs write and solve an equation to determine the number of dogs she has.

Answers

Answer 1

The correct answer is 2x = 14; x = 7

How did we figure this out?

For this equation we are going to divide the numbers to find are answer.Divide by 2 on both sides of the equal sign, 14 divided by 2 is 7.

Therefore, The correct answer is 2x = 14; x = 7


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Mabel buys a television
priced at $84.75. If the
sales tax is 8%, how
much will Mabel pay for
the television?
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Answer:

Mabel will pay $91.53 for the television.

Step-by-step explanation:

To calculate the total cost of the television including sales tax, we first need to calculate the amount of sales tax by multiplying the price of the television by the sales tax rate. This gives us $84.75 * 0.08 = $6.78 in sales tax.

To find the total cost of the television, we add the price of the television to the sales tax amount. This gives us $84.75 + $6.78 = $91.53.

Therefore, Mabel will pay $91.53 for the television.

Please help quick show work and explain

Answers

The maximum height of the ball is of: 5 feet.The ball is at the maximum height at a time of: 0.25 seconds.The ball hits the ground at a time of: 0.809 seconds.

How to obtain the measures?

The height of the ball after x seconds is given by the quadratic function presented as follows:

y = -16t² + 8t + 4.

This is a concave down parabola, hence the vertex of the function is the maximum point.

The coefficients of the quadratic function are given as follows:

a = -16, b = 8, c = 4.

Then the x-coordinate of the vertex is given as follows:

x = -b/2a = -8/-32 = 0.25.

The maximum height of the ball is given as follows:

y = -16(0.25)² + 8(0.25) + 4 = -1 + 2 + 4 = 5 feet.

The ball hits the ground when:

y = 0.

Hence:

-16t² + 8t + 4 = 0.

Solving the quadratic equation, the positive solution is given as follows:

t = 0.809 seconds.

The graph of the quadratic function is given by the image shown at the end of the answer.

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which type of rigid transformation is the equivalent of two reflections across intersecting lines?
a. glide reflection
b. rotation
c. reflection
d. none of these

Answers

Answer:

a

Step-by-step explanation:

The equivalent of two reflections across intersecting lines is a glide reflection.

A glide reflection is a combination of a translation and a reflection. It involves moving an object along a line, and then reflecting the object across the same line. Since a reflection is an isometry (a transformation that preserves the distance between points), a glide reflection is also an isometry.

In contrast, a rotation is a transformation that involves turning an object around a fixed point, and a reflection is a transformation that involves flipping an object across a mirror line. Neither of these transformations is equivalent to two reflections across intersecting lines.

Therefore, the correct answer is (a) glide reflection.

Simplify the expression.

the linear expression quantity negative 1 over 5 times r minus 6 minus 5 over 7 times r end quantity minus the linear expression quantity negative 3 over 5 times r plus 8 end quantity

negative 53 over 35 times r minus 2
negative 11 over 35 times r minus 2
negative 11 over 35 times r plus negative 14
3 over 35 times r plus negative 14

Answers

After solving the equation, the value obtained will be equal to negative 11 over 35 times r plus negative 14. Hence, option C is correct.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given statement in the question,

The equation will be,

(-1/5r - 6 - 5/7r) - (-3/5r) - 8

Rearrange the equation with like terms,

-1/5r - 5/7r + 3/5r - 8 - 6

(-7r - 25r + 21r)/35 -14

=-(11/35)r - 14.

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Ahok purchaed 15. 5kg rice and 3. 250kg ugar from the upermarket. Find the total weight of hi purchae

Answers

Using simple mathematical operations we know that Ashok purchased rice and sugar which together weights 18.75kg.

What are mathematical operations?

A mathematical function known as just an operation converts zero or more input values into a precisely defined output value.

A quantity of operands affects the operation's arity.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, we know that:

Ashok purchased 15.5kg of rice and 3.25 kg of sugar.

Now, the total weight of rice and sugar Ashok purchased is:

15.5 + 3.25

18.75kg

Therefore, using simple mathematical operations we know that Ashok purchased rice and sugar which together weights 18.75kg.

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Arturo is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

There are 6 different possible outcomes.

What is probability ?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The party which calls the coin's side wins.

We find it because when we turn a coin very often, humans get half the heads and half the tails.

The chances of swinging the head are 1/2 , and the chances of swinging the tail are 1/2 .

Total outcomes = 2×5×6

                           = 60

So the final answer is 60

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A boat travels 80 miles downstream in 4 hours. It makes the return trip, against the current, in twice the time. What is the speed of the current? (Remember: rate x time = distance)
[Please show and explain how you solved this word problem.]

Answers

By solving simultaneous linear equation, it can be calculated that

Speed of the current is 5 miles/hour

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here a simultaneous linear equation needs to be solved

Let the speed of boat in still water be x miles/hour and speed of stream be y miles/hour

Speed of the boat downstream = (x  + y) miles/hour

Speed of the boat upstream = (x - y) miles/hour

A boat travels 80 miles downstream in 4 hours

x + y = [tex]\frac{80}{4}[/tex]

x + y = 20 .... (1)

A boat travels 80 miles upstream in 8 hours

x - y = [tex]\frac{80}{8}[/tex]

x - y = 10 .... (2)

Subtracting (2) from (1)

2y = 10

y = [tex]\frac{10}{2}[/tex]

y = 5 miles/hour

Speed of the current is 5 miles/hour

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f the toss of a coin comes down heads, you win two dollars. if it comes down tails, you lose fifty cents. how much would you expect to gain after 21 tosses (in $ dollars)? $ .

Answers

In each toss, the expected value is the probability of winning multiplied by the amount won, minus the probability of losing multiplied by the amount lost. The probability of winning is 1/2, or 0.5, and the probability of losing is also 1/2, or 0.5. The amount won is $2, and the amount lost is $0.50. So the expected value of each toss is 0.5 * $2 - 0.5 * $0.50 = $0.75.

Therefore, after 21 tosses, you would expect to gain an amount equal to 21 * $0.75 = $<<21*0.75=15.75>>15.75.

What does basic probability mean in math?

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

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Please help me, it’s asap

Answers

The price that is 3rd standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18500.

What is mean?

Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

Given:

The mean, m = $17000,

The standard deviation, σ = $500

Calculate the 3rd standard deviation as shown below,

3rd standard deviation  = mean + 3 × standard deviation

3rd standard deviation = 17000 + 3 × 500

3rd standard deviation = 17000 + 1500

3rd standard deviation = $18500

Therefore, the price that is 3rd standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18500.

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relationship between f(x) , f’(x) , f’’(x) at x

Answers

Refer to the photo taken.

how do u solve x+5y=20 and -2x+7y=45 by elimination

Answers

Answer:

x = -5; y = 5

Step-by-step explanation:

  x + 5y = 20

-2x + 7y = 45

Multiply both sides of the first equation by 2 to get 2x. Write the second equation below it and add the equations. 2x and -2x add to zero eliminating the x terms.

 2x + 10y = 40

-2x +  7y = 45

-----------------------

         17y = 85

y = 85/17

y = 5

Now use substitution in the first original equation to find x.

x + 5y = 20

x + 5(5) = 20

x = -5

Answer: x = -5; y = 5

Solve the following inequality algebraically: negative 2 less-than startfraction x over 3 endfraction 1 less-than 5 a. negative 9 greater-than x greater-than 12 b. negative 9 less-than x less-than 12 c. negative 2 less-than x less-than 5 d. negative 2 greater-than x greater-than 5

Answers

The solution to the inequality algebraically is -9 < x < 12

How to solve the inequality algebraically

From the question, we have the following parameters that can be used in our computation:

negative 2 less-than startfraction x over 3 endfraction 1 less-than 5

Express the statement using numbers and expressions

So, we have the following representation

-2 < x/3 + 1 < 5

Subtract 1 from all sides of the inequality

This gives

-3 < x/3 < 4

Multiply through the inequality by 3

So, we have

-9 < x < 12

Hence, the solution is -9 < x < 12

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Answer:

b. Negative 9 less-than x less-than 12

Step-by-step explanation:

You want to apply the filter() function to the variables Cocoa. Percent and Rating. Add the code chunk that lets you filter the data frame for chocolate bars that contain at least 75% cocoa and have a rating of at least 3. 9 points. Filter(Cocoa. Percent >= 75, Rating >= 3. 9)What value for cocoa percent appears in row 1 of your tibble? a. 80% b. 75% c. 88% d. 78%

Answers

Answer:

A

Step-by-step explanation: here ya go <3

The larget taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. The total weight of thee two ingredient wa 617. 3 kg. How many kilogram of each ingredient were ued?

Answers

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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Which pair of points represents a line segment with a slope of and a length of 15 units?

Answers

By using slope, it can be calculated that

(-8, -5) and (1, 7) represents a line with slope of [tex]\frac{4}{3}[/tex] and length 15 units

What is slope of a line?

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

For the first option

(-11, 7) and (1, -2)

Slope = [tex]\frac{-2-7}{1 - (-11)}[/tex]

          = [tex]-\frac{9}{18}[/tex]

          = [tex]-\frac{1}{2}[/tex]

First option is wrong

For the second option

(-2, -6) and (4, 2)

Slope = [tex]\frac{2 - (-6)}{4 - (-2)}[/tex]

          = [tex]\frac{8}{6}[/tex]

          = [tex]\frac{4}{3}[/tex]

Length =

[tex]\sqrt{(4 - (-2))^2 + (2-(-6))^2}\\\sqrt{36+64}\\\sqrt{100}\\[/tex]

10 units

Second option is wrong

For the third option

(-3, -2) and (9, 7)

Slope = [tex]\frac{7 - (-2)}{9 - (-3)}[/tex]

          = [tex]\frac{9}{12}[/tex]

          = [tex]\frac{3}{4}[/tex]

Third option is wrong

For the fourth option

(-8, -5) and (1, 7)

Slope = [tex]\frac{7 - (-5)}{1 - (-8)}[/tex]

          = [tex]\frac{8}{6}[/tex]

          = [tex]\frac{4}{3}[/tex]

Length =

[tex]\sqrt{(1 - (-8))^2 + (7-(-5))^2}\\\sqrt{81+144}\\\sqrt{225}\\[/tex]

15 units

Fourth option is correct

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Suppose that you are rolling a six sided dice. Let A-get a 3 What is P(A^C)? 2/6
4/6 5/6 1/6 3/6

Answers

Answer:

5/6 (option 3)

Step-by-step explanation:

[tex]P(A^C)[/tex] is asking what the complement of A is. This means we are asking what the probability of NOT getting A is. This would be 1 - P(A).

P(A) = The probability of getting a 3 = 1/6

We can solve for the probability of the complement of the A and get:[tex]P(A^C) = 1 - P(A) = 1 - \frac{1}{6} = \frac{5}{6}[/tex]

Thus, the answer is 5/6 (which I believe is the 3rd option you are given)


2.6 sq. cm X 3.1 cm

Answers

Answer 8.06 X 10-8 M*4

Step-by-step explanation: No Explanation Just Answer srry could think of a way to say it.

Multiple choice math

Answers

I believe it would be the first answer choice

a.5n^2

n^2 being "the square of a number"

5n^2 is just multiplying 5 and n^2

in other words the product of the square of a number and 5

Identify the type of angle shown

A. Alternate exterior angles
B. Same side interior angles
C. Corresponding angles
D. Alternate interior angles

Help!!!

Answers

Answer:

A. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are congruent angles that are outside the parallel lines. That is why their name is alternate exterior angles since they are exterior from parallel lines.

In coordinate plane the point A(-4,8) B(10,1) and C(-2,-7) are reflected over the y-axi to the point A , B ,C repectively what are the coordinate of A, B, and C

Answers

The distance formula can be used to determine this distance. The formula d = (x 2  x 1 ) 2 + (y 2  y 1 ) 2 can be used to describe the distance that separates the two points (x 1, y 1) and (x 2, y 2).

Which coordinate sequence is correct?

The y-coordinate comes after the x-coordinate in every case. The coordinate grid below demonstrates that the ordered pairs (3,4) and (4,3) are two distinct points!

How are XY coordinates written?

Coordinates are written as (x, y), with the x-axis point being written first and the y-axis point following. The expression "along the corridor, up the stairs" may be used to remind some children of this, instructing them to follow the x axis first and then the y.

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A COMPANY THAT MANUFACTURES BATTERIES GURANTEE THEM A LIFE OF 24 MONTHS
1 THE AVERAGE LIFE HAS BEEN FOUND IN TESTS TO BE 33 MONTHS AND A S. D OF 4 MONTHS HOW MANY WILL HAVE BE REPLACED UNDER GURRANTEE IF A NORMAL DISTRIBUTION IS ASSUMED FOR BATTER LIFETIMES

Answers

According to the standard normal distribution table, the area under the curve that is 2.25 standard deviations below the mean is approximately 1.22%.

What is standard deviation?

Standard deviation is a measure of the spread or dispersion of a set of data. It tells you how much the individual values in the set differ from the mean (average) of the set.

What is the formula to calculate standard deviation?

The formula for calculating the standard deviation of a set of n data points:

Standard deviation = sqrt(((x1 - mean)^2 + (x2 - mean)^2 + ... + (xn - mean)^2) / n)

First, we need to calculate the number of standard deviations that the guarantee period of 24 months is from the mean of 33 months. We can do this by subtracting the mean from the guarantee period and dividing by the standard deviation:

(24 - 33) / 4 = -9 / 4 = -2.25

Since we are assuming that the distribution of battery lifetimes is normal, we can use the standard normal distribution table to look up the area under the curve that is 2.25 standard deviations below the mean. This area represents the proportion of batteries that will have to be replaced under the guarantee.

According to the standard normal distribution table, the area under the curve that is 2.25 standard deviations below the mean is approximately 0.0122. This means that approximately 1.22% of the batteries will have to be replaced under the guarantee.

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A local store is keeping track of service times. The table below shows the number of customers served and the time it took.

Answers

Answer: It appears to take the same amount of time to serve each customer

It takes 40 minutes to serve  10 customers.

Step-by-step explanation:

It appears to take the same amount of time to serve each customer

To find the number of minutes it takes

Divide the number of times by the number of customers

16/4 = 4

it takes 4 minutes to serve 1 customer

Find the number of time it takes to serve 10 customer

10*4=40

It takes 40 minutes to serve  10 customers.

Translate the sentence into an inequality. The sum of 8 and y is greater than or equal to 17.

Answers

Answer:

8+y[tex]\geq[/tex]17

Step-by-step explanation:

​ 2x(x+4)+7=(x+8)+2x(x+1)+122x(x+4)+7=(x+8)+2x(x+1)+12

Answers

Answer:

x = (-10 + sqrt(180)) / 8

= -1.25 + 0.75 * sqrt(5)

x = (-10 - sqrt(180)) / 8

= -1.25 - 0.75 * sqrt(5)

Step-by-step explanation:

To solve the given equation, we need to combine like terms and isolate the variable on one side of the equation. The given equation is:

2x(x+4)+7=(x+8)+2x(x+1)+12

We can start by expanding the parentheses on the left-hand side to obtain:

2x^2 + 8x + 7 = x + 8 + 2x^2 + 2x + 12

We can then combine like terms on both sides of the equation to get:

4x^2 + 10x - 5 = 0

To solve for x, we can use the quadratic formula, which states that the solutions of the equation ax^2 + bx + c = 0 are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

In the given equation, we have a = 4, b = 10, and c = -5, so the solutions are:

x = (-10 +/- sqrt(10^2 - 4 * 4 * (-5))) / 2 * 4

= (-10 +/- sqrt(100 + 80)) / 8

= (-10 +/- sqrt(180)) / 8

This gives us two solutions:

x = (-10 + sqrt(180)) / 8

= -1.25 + 0.75 * sqrt(5)

x = (-10 - sqrt(180)) / 8

= -1.25 - 0.75 * sqrt(5)

These are the two solutions of the given equation. Note that we could also write the solutions in a simplified form by factoring the quadratic and using the zero product property, but the quadratic formula is generally more reliable and easier to use.

If a hypothesis test is significant at level α = 0.05, then what is known for the P-value?P-value > 0.01P-value ≤ 0.05P-value ≤ 0.01P-value > 0.05

Answers

If a hypothesis test is significant at level α = 0.05, then the P-value is less than or equal to 0.05 or P-value ≤ 0.05.

The P-value is a measure of the strength of the evidence against the null hypothesis. It is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. If the P-value is less than or equal to the significance level α, it means that the observed evidence is unlikely to have occurred by chance under the null hypothesis, and we can reject the null hypothesis in favor of the alternative hypothesis.

For example, if the P-value of a hypothesis test is 0.03, it means that there is a 3% chance of obtaining the observed test statistic (or a more extreme one) if the null hypothesis is true. Since this is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.

Hence, if a hypothesis test is significant at level α = 0.05, then P-value ≤ 0.05.

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HI, i am in 7th grade i really need help this question is confusing
At the start, the water level of the river was 12 centimeters below its normal water level.
After a day of rain, the water level of the river increased by 18 centimeters.
The next 8 days were dry, and the water level of the river dropped by 2.6 centimeters each day.
Enter a numerical expression representing the water level after the 9 -day period.

What is the value of the expression you entered in part A?
What does the value in part B mean in the situation?

Answers

The changes in the river water level with reference to the normal water level in the 9-day period is analyzed as follows;

Part A: The numerical expression representing the water level after the 9-day period is; -12 + 18 - 8 × 2.6

Part B; -12 + 18 - 8 × 2.6 = -14.8

Part C; The meaning of -14.8 is that the water level after the 9-day period is 14.8 centimeters below the normal water level.

What is a mathematical expression?

A mathematical expression is a collection of numbers and, or variables and operators combined according to the rules of mathematical operations.

Part A

The water level of the river at the start = 12 centimeters below its normal level

The amount by which the water level increases after a day of rain = 18 centimeters

The amount by which the water level reduces in the next 8 days = 2.6 centimeters per day

The numerical expression that represents the water level in the 9-day period is therefore;

-12 + 18 - 8 × 2.6

Part B

The value of the expression -12 + 18 - 8 × 2.6 is; -12 + 18 - 8 × 2.6 = -14.8

Part C

The meaning of the value -14.8 is that the water level after the 9-day period is 14.8 centimeters below the the normal water level of the river

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The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Answers

The scale factor will be 1/4.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The right triangle on the right is a scaled copy of the right triangle on the left.

Now,

Since, The right triangle on the right is a scaled copy of the right triangle on the left.

Hence, The ratio of their similar sides is equal to the scale factor.

So, We get;

⇒ 2 / 8 = 1 / 4

And, 2 / 8 = 1 / 4

Thus, The scale factor = 1/4.

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A circle has a diameter of 20 ft. What is the area?
Show or explain your reasoning.

Lots of love for the ones who helps!! <3

Answers

The area of a circle is given by the formula:

area = pi * r^2

where pi is a constant approximately equal to 3.14 and r is the radius of the circle.

To find the area of the circle, we first need to find the radius. The radius is half the diameter, so the radius of the circle is 20/2 = 10 feet.

Plugging this value into the formula, we get:

area = 3.14 * 10^2 = 3.14 * 100 = 314 square feet

So the area of the circle is 314 square feet.

Answer:

100π, or about 312. Could also be 314.16 if it needs to be rounded.

Step-by-step explanation:

First, the area of a circle is πr^2

To find radius, it's diameter/2.

So the radius is 20/2 which is 10.

With this, we plug it in: π(10)^2 = π100 = 100π.

That is an exact answer. For a rounded answer, assume π = 3.14.

3.14*100 = 314 sqr feet.

However, it you want to round the final answer, 100π is around 314.159265359 thus making rounding to the nearest hundredth 314.16.

The velocity v of an object dropped from a tall building is given by the formula v = √64d where d is the distance the object has dropped. Solve the formula for d.

Answers

The solution for d in the equation v = √64d is d = v²/64

How to determine the solution for d in the equation?

From the question, we have the following parameters that can be used in our computation:

v = √64d

Take the square root of both sides

So, we have the following representation

v² = 64d

Divide both sides of the equation by 64

So, we have the following representation

v²/64 = d

Rewrite as

d = v²/64

Hence, the value of d is d = v²/64

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Two idewalk in a park are repreented by line on a coordinate grid. Two point on each of the line are hown in the table. Sidewalk 1 x y 0 3 2 7 Sidewalk 2 x y 1 5 3 3 (a) Write the equation for Sidewalk 1 in lope-intercept form. (b) Write the equation for Sidewalk 2 in lope-intercept form. (c) I the ytem of equation conitent independent, coincident, or inconitent? Explain. (d) If the two idewalk interect, what are the coordinate of the point of interection? Ue the ubtitution method and how your work

Answers

a) The equation is: y = 2x + 3. b) The equations are :Point - slope form: y - 5 = -(x - 1).Slope - intercept form: y = -x + 6. c) The systems are consistent independent. d) The point of intersection is (1, 5).

Linear function

A linear function is defined in slope-intercept formula by the rule presented as follows:

y = mx + b.

In which:

m is the constant rate of change of the function, called slope.

b is the value of y when x = 0, called intercept.

For Sidewalk 1, it is found that:

When x increases by 2, y increases by 4, hence the slope is of m = 2.

When x = 0, y = 3, hence the intercept is of b = 3.

Then the rule is:

y = 2x + 3.

For Sidewalk 2, when x changes by 2, y decays by 2, hence the slope is:

m = -2/2 = -1.

The line goes through point (1,5), hence the equation in point-slope form is:

y - 5 = -(x - 1).

Combining the like terms, the slope-intercept form is:

y - 5 = -x + 1

y = -x + 6.

Since the two lines have different slopes, the system is consistent independent.

The x-coordinate of the intersection is:

-x + 6 = 3 + 2x.

3x = 3

x = 1.

The y-coordinate is:

-x + 6 = -1 + 6 = 5.

Hence the intersection point is:

(1, 5).

More can be learned about linear functions at brainly.com/question/24808124

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