During 712months of hibernation, a black bear experienced a weight loss of 64.5 pounds.

On average, what was the bear’s weight change per month?

The equation of the line in the form y = mx + b are as follows:

The equation of a line can be found as follows:

Using the slope intercept form,

y = mx + b

where

Therefore, let's find the slope using the table.

(-4, 13)(-3, 11)

m = 11 - 13 / -3 + 4

m = - 2 / 1

m = -2

Let's find the y-intercept using (-4, 13)

13 = -2(-2) + b

13 - 4 = b

b = 9

Therefore, the equation of the line is y = -2x + 9

Using the second table,

(0, -3)(2, 1)

m = 1 + 3 / 2 - 0

m = 4 / 2

m = 2

y-intercept = b = -3

Therefore,

the equation of the line is y = 2x - 3

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Check the picture below.

Every time a construction company submits a bid, the odds of winning are 0.10 percent. With the aid of a binomial distribution, it is possible to calculate the likelihood of selecting a specific number of projects out of 12 bids: TRUE

As it is given in the description itself that the probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

Therefore, the statement "every time a construction company submits a bid, the odds of winning are 0.10 percent. With the aid of a binomial distribution, it is possible to calculate the likelihood of selecting a specific number of projects out of 12 bids" is TRUE.

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The complete question is given below:
A construction company has found it has a probability of 0.10 of winning each time it bids on a project. the probability of winning a given number of projects out of 12 bids could be determined with a binomial distribution. TRUE or FALSE.

Answer:

2 min

Step-by-step explanation:

18/

Total income for Minimum salary: $160 and Commission: 53% on $2900 will be  $1,697.

A salary is a set earnings that an employee normally gets on a weekly, biweekly or month-to-month foundation. A Commission is greater earnings an worker earns once they promote items or services.

We had given the minimum salary of $160 which will be fixed and not depend on the earning of the commission.

Now As given the sale of $2900 and the commission percentage of 53%

∴ Total Commission will be = [tex] \frac{2900\ (53)}{100} [/tex]

∴ Total Commission = 29 (53).

∴ Total Commission = $ 1,537

∴ Total Income will be the addition of base/minimum salary and the commission in total.

∴ Total income will be $160 + $1,537

∴ Total income = $1,697.

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Answer: He drove 276b miles with the truck

Step-by-step explanation: 220.19 - 15.95 = 204.24

204.24 / .74 = 276

The value of x in the equation is 26. 087

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

x = 26. 087

Hence, the value is 26. 087

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M is not like the others. ratio and proportion is used.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7). Any number of quantities, such as counts of people or objects or measurements of length, weight, or time, etc., can be included in a ratio. In most cases, both numbers must be positive.

Shorter diameter of L is 3:4.
the ratio of M is 4/8= 1:2
the ratio of N is 9/12= 3:4 (count the squares)
so, M is not like the others.

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From the given quadratic function ff(x) = (x² + cx - 1)/(2x² - 3x + 2), we can tell that the possible values for which the function  lies on the interval (-1, 2) is; c c ≤ 12

We are given the quadratic function f(x) as;

f(x) = (x² + cx - 1)/(2x² - 3x + 2)

Now, we want to find the possible values of c for which the function belongs to the interval (-1, 2). Thus, we will plug in -1 for x and equate the function to 2;

f(-1) = ((-1)² + c(-1) - 1)/(2(-1)² - 3(-1) + 2) = 2

(1 - c - 1)/6 = 2

-c/6 = 2

c = -12

Thus, the possible values  for which the given function f(x) belongs to the interval (-1, 2) are; c ≤ 12

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The number of cups of sugar that is required to make 16 pies is equal to 8 cups.

Mathematically, a direct proportion can be represented the following mathematical expression:

y = kx

Where:

Since the cups of sugar varies directly (direct proportion) with the number of pies, the cups of sugar and number of pies must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = (1 1/2)/3

Constant of proportionality (k) = 0.5 or 1/2

From the above mathematical expression for direct proportion, an equation which models the situation or relationship is:

y = kx

y = 0.5x

Now, we can determine the number of cups of sugar at x = 16:

y = 0.5 × 16

y = 8 cups of sugar.

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About 200 teddy bears in the store.

Given,

The ratio of the number of dolls to the number of teddy bears is 6:5

and,  The store has 240 dolls.

To find the number of teddy bears are in the store.

Now, According to the question:

Total no. of dolls are 240

The ratio of dolls and teddy bears are 6:5

Then, For dolls

= 240/6 = 40dolls

So, Teddy Bears = 40 × 5 = 200

Hence, About 200 teddy bears in the store.

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The money that she earns in total, after paying the vendor fees and repaying her brother's loan is $95.

From the information, Mia borrowed $800 from her brother to start a small business and she then applies to sell her products at a vendor fair.

Also, it should be noted that the vendor fair requires all businesses to pay a $50 entry fee, plus 10% of their sales.

The amount that she will earn after selling $1050. worth of product will be;

= $1050 - Amount borrowed - Entry fee - Percentage on sales

= $1050 - ($800) - $50 - (10% × $1050)

= $1050 - $800 - $50 - $105

= $95

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Given the Graph functions above, the option that applies in the above scenario are:

A function's graph is the set of all points in the plane of the form (x, f(x)). The graph of f might similarly be defined as the graph of the equation y = f. (x). As a result, the graph of a function is a subset of the graph of an equation.

Explanation for Option A:

Note that both functions intersect at some point. That one is where f(g(x)) = g(f(x)) for at least one value of x. Note, this is for the value of x and not y;

Explanation for Option C:

This simply means that on the if f(g) where y = 5,x is 0; for g(f) where y = 5, x = -2.5. This is also observable in the graph

Explanation for Option D

If two functions f and g have the same domain and codomain, and f(a)=g for every an in the domain, we say they are equal (a).

Explanation for Option E
If a graph is cummulative, there will be a noticeable trend either as an upward trajectory or a negative one with the line crossing the origin. This is not the case here.

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Answer:

The expert answer is correct.  But here is the short answer.

1, 3, 4, 5.

300 milligrams is 0.3 grams of protein.

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.

To convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.

Given Data

100 grams of honey  contains about 0.3 grams of protein.

1 gram = 1000 milligrams

To find milligrams in protein:

0.3 grams multiplied by 1000

0.3(1000)

300

300 milligrams is 0.3 grams of protein.

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The value of the quotient is 1.207

The statement is given as

Divide 306.67 and 254.00

Rewrite the above statement properly

So, we have

Divide 306.67 by 254.00

Rewrite the above statement as a quotient expression

So, we have

306.67/254.00

Express 306.67 as 254.00 + 52.67

So, we have

306.67/254.00 = (254.00 + 52.67)/254.00

Evaluate the quotient of 254 and 254

So, we have

306.67/254.00 = 1 + 52.67/254.00

Evaluate the other quotient

So, we have

306.67/254.00 = 1 + 0.207

306.67/254.00 = 1.207

Hence, the value of the statement "divide 306.67 and 254.00" is 1.207

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The depth of water after 10 minutes is 20 inches which is the option A.

Given that:-

Depth of water in a tank after t minutes is modeled by the function f(t) = 5+1.5t, measured in inches.

Let us check for Option A.

Putting t = 10 min in the given equation, we get,

f(10) = 5 + 1.5*10 = 5 + 15 = 20 inches.

Hence, option A is the right answer.

We can also check the other options to confirm our answer.

Putting t = 20 minutes,

f(20) = 5 + 1.5*20 = 5 + 30 = 35 inches

As 10 inches is written in B, hence, it is not the right answer.

We already know that t = 10 gives 20 inches.

Hence, C is not the answer.

Putting t = 65 minutes,

f(20) = 5 + 1.5*65 = 5 + 97.5 = 102.5 inches

As 10 inches is written in D, hence, it is not the right answer.

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The equation of a line that is perpendicular to y = 3x + 3 is option A y equals negative one-third times x plus 1(-1/3x + 1)

Given,

The equation of line, y = 3x + 3

The line passes through (-6, 3)

We have to find the equation of the line that is perpendicular to y = 3x + 3

Slope of the line, m = 3

Here, in perpendicular case, slope is negative of its reciprocal.

That is, m = -1/3

Now, we can find the equation

y - y₁ = m(x - x₁)

Here,

y₁ = 3

x₁ = -6

m = -1/3

So,

y - 3 = -1/3(x - (-6))

y - 3 = -1/3(x + 6)

y - 3 = -1/3x + -1/3(6)

y - 3 = -1/3x - 6/3

y - 3 = -1/3x - 2

y = -1/3x - 2 + 3

y = -1/3x + 1

That is, the equation of a line that is perpendicular to y = 3x + 3 is y equals negative one-third times x plus 1(y = -1/3x + 1)

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Answer:A is the answer

Step-by-step explanation:

i got it right on the test

Answer:

[tex]f(x)=3x^4+51x^2+48[/tex]

Step-by-step explanation:

As n = 4, the degree of the polynomial is 4.

Therefore, the function cannot have more than 4 distinct roots.

[tex]\implies f(x)=a(x-p)(x-q)(x-r)(x-s)[/tex]

If a complex number z is a root of f(z) = 0 then its complex conjugate is also a root.  Therefore:

[tex]\implies f(x)=a(x-i)(x+i)(x-4i)(x+4i)[/tex]

[tex]\implies f(x)=a(x^2-i^2)(x^2-16i^2)[/tex]

[tex]\implies f(x)=a(x^2-(-1))(x^2-16(-1))[/tex]

[tex]\implies f(x)=a(x^2+1)(x^2+16)[/tex]

Given f(-1) = 102, then:

[tex]\begin{aligned}\implies f(-1)=a((-1)^2+1)((-1)^2+16)&=102\\a(1+1)(1+16)&=102\\a(2)(17)&=102\\34a&=102\\a&=3\end{aligned}[/tex]

Therefore:

[tex]\implies f(x)=3(x^2+1)(x^2+16)[/tex]

[tex]\implies f(x)=3(x^4+17x^2+16)[/tex]

[tex]\implies f(x)=3x^4+51x^2+48[/tex]

10x - 26 = 3x + 23

x = 7

To find out x

10x - 3x = 23 + 26

7x = 49

x = 7

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Answer: x=7

Step-by-step explanation

[tex]10x-26=3x+23\\[/tex]

First you want to get the x's to one side you would subtract 3x from both sides.

Then your equation should be:

[tex]7x-26=23[/tex]

Then you want to add 26 to both sides.

[tex]7x=49[/tex]

Then you would divide both sides by 7, making your answer:

[tex]x=7[/tex]

55cm is 13.75% of 4 meters.

Answer: 12.5%

Step-by-step explanation:

There are 100 CM in 1 M.

4×100=400

50/400=12.5

The number of miles that must be driven for the two-day rental from Company B to be less than Company A is 200 miles.

The equation that can be used to determine the total cost of renting from Company A is:

Total cost = (cost per day x number of days) + (cost per mile x number of miles)

($25 x 2) + ($0.25 x m)

$50 + $0.25m

The equation that can be used to determine the total cost of renting from Company B is: ($35 x 2) + ($0.15 x m)

$70 + $0.15m

The equation that can be used to determine the number of miles where it would be cheaper to rent for two days from Company B is:

$70 + $0.15m  < $50 + $0.25m

$70 - $50 < $0.25m - $0.15m

$20 < $0.10m

m < $20 / 0.10

m < 200

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Answer:

No

Step-by-step explanation:

Not because the sum of the measurements of the smaller sides (6, 6) must not be equal to or greater than the measure of the larger side (12) since in these conditions the triangle does not exist.

Hope this helps

Using the numbers 12, 6, 6, the triangle can not be formed.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Here, we have,

given that,

The given numbers are 12, 6 and 6.

Here, 6 + 6 = 12 but not greater than 12

so, we get,

Therefore, using the numbers 12, 6, 6, the triangle can not be formed.

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Answer:

x= 13.5(7)

x=94.5

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Answer:

220 meters

Step-by-step explanation:

20 seconds is 5 times larger than 4 seconds, so the distance it runs in 20 seconds should be 5 times longer than 44 meters
so:
20/4 = 5
since x is 5 times larger than 44, set up the equation
5 = x/44
multiply both sides by 44
x= 44 * 5 = 220 meters

A scatter plot which best represents the data in the table is scatter plot B.

A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

In this scenario, the altitude (thousand feet) would be plotted on the x-axis of the scatter plot while the air pressure (pounds per square inch) would be plotted y-axis of the scatter plot as depicted in the image attached below.

In conclusion, we can reasonably infer and logically deduce that scatter plot B best represents the data in the table.

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By evaluating the function f(x) = x² - 5 · x, the range of the function is {- 6, - 4, 14}.

In this problem we have a domain, that is, an input set, formed by three natural numbers and a quadratic equation that represents a function that allows us to find the corresponding elements of the range, that is, the output set. The elements of the range are found by evaluating the quadratic equation at each element from domain:

x = 2

f(2) = 2² - 5 · 2

f(2) = 4 - 10

f(2) = - 6

x = 4

f(4) = 4² - 5 · 4

f(4) = 16 - 20

f(4) = - 4

x = 7

f(7) = 7² - 5 · 7

f(7) = 49 - 35

f(7) = 14

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Answer:

36x

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I like visiting other prisons people up when they are down in the class for lunch

Answer:76

Step-by-step explanation:

the median is the middle number but since there was an even amount of numbers, I chose the middle 2 numbers. Since they were the same number they stay as 1 number making the answer 76.

Hello, the correct answer to your question should be 5.

As seen in the photo below, the sum of the given angle values must equal [tex]180^o[/tex].

Therefore, when we add these two values, we get the number [tex]"38x-10"[/tex]. If we equalize this number to [tex]180^o[/tex], we find the value of our [tex]x[/tex] as [tex]5[/tex].