ƒ(x) = −x² + 9x – 17
Find f(-5)

The multiplication of the given expression in the simplified is 5000/ 729 and in mixed form is [tex]6\frac{626}{729}[/tex].

To multiply fractions with mixed numbers, first convert the mixed number into an improper fraction. Then, multiply the numerators of the fractions separately, and then multiply the denominators separately and simplify the result to obtain the answer.

A whole number and a legal fraction are combined to form a mixed number. An improper fraction is created by multiplying a mixed number by its denominator, keeping the denominator, and adding the resulting number to the proper fraction's numerator.

The given expression is

3 × (5/9) ×(5/3) × (8/9) ×[tex]1\frac{6}{9}[/tex] × [tex]1\frac{2}{3}[/tex]

= 3 × (5/9) ×(5/3) × (8/9) × (1×(9/6))/9 × ((1×3)+2))/3

= 3 × (5/9) ×(5/3) × (8/9) × (15/9) × (5/3)

= 45000/6561

= 5000/729

= [tex]6\frac{626}{729}[/tex]

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The complete question is:

"Multiply the whole number and fraction. Simplify your answer and write it as a mixed number  3 × (5/9) ×(5/3) × (8/9) ×[tex]1\frac{6}{9}[/tex] × [tex]1\frac{2}{3}[/tex]"

The function that gives the rate of change for the given situation is R9x) = 2 + 2.6x

Rate of change

Rate of change refers a  rate that describes how one quantity changes in relation to another quantity.

Given,

Brooklyn's cab company charges a one-time pickup fee of $2 for every ride, as well as a $2.60 charge for each mile traveled.

Here we need to find the rate of change.

Let as consider that the number of mile travelled is modeled as x.

And R(x) is the function that defines the rate of change.

So, in the given question we know that, the one time charge is $2 and the charge per mile is $2.60.

Therefore, the rate of change is calculated as,

R(x) = 2 + 2.60x.

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Answer:

2.60

Step-by-step explanation:

2.60 for each mile

If a dinner theater charges $20 per person and a table can hold a maximum of five people, the situation represents a function.

In mathematics, function refers to an expression, law or rule that describes a relationship between the independent variable and the dependent variable. A function defines a relation between a set of inputs and a set of potential outputs with the quality property that each input is associated to exactly one output. The provided information can be represented as y = 20x where y is the total charge and x is the number of people, which is a linear function. As the number of people, a table can hold is 5 the domain is represented as 0 ≤ x ≤ 5 and the range is 0 ≤ x ≤ 100 (y = 20*5 = 100).

Note: The question is incomplete. The complete question is A dinner theater charges $20 per person. Your table can hold a maximum of five people. Does the situation represent a function? If so, find the domain and range.

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The work done in stretching the spring from 40 cm to 44 cm is 0.28 J while the extension by the 20 N force is by 0.058 m.

Hooke's law states that, as long as the elastic limit is not exceeded the force that is exerted on an elastic material is directly proportional to the length of the material.

Given that;

W = 1/2Ke^2

W = elastic potential energy

K = force constant

e = extension

Given that the extension is obtained from; (49 - 32) * 10^-2

= 0.17 m

5 = 0.5 * K * (0.17)^2

K = 5/0.5 *  (0.17)^2

K = 346

a) To stretch the spring from 40 cm to 44;

e = (44 - 40) * 10^-2

= 0.04 m

W = 0.5 * 346 * (0.04)^2

= 0.28 J

b) The spring is stretched;

F = Ke

F =force

K = force constant

e = extension

20 = 346 * e

e = 20/346

e = 0.058 m

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The value of angle E  in the ΔDEF is 121°.

Given,

∠B = (96 + y)°

∠E = (6y - 29)°

EF = BC

AB = DE

AC = DF

Therefore, ΔABC ≅ ΔDEF

So, ∠ABC = ∠DEF or ∠B = ∠E

     96 + y = 6y - 29

      6y - y = 96 + 29

           5y = 125

             y = 125/5

             y = 25

∠E = 6y - 29

     = 6(25) - 29

     = 150 - 29

     = 121

Hence, ∠E = 121°.

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Since Maya is estimating the product of 88 and 12, the statements that are true include the following:

In order to determine the statements that are true, we would have to evaluate each of the statement as follows:

"If she rounds both values to the nearest ten, her estimate will be 800."

Rounding up 88 and 12 to the nearest ten, we have the following:

Rounded up number = 88 ≈ 90

Rounded up number = 12 ≈ 10

Therefore, the product of 90 and 10 is given by:

Product = 90 × 10

Product = 900.

"If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000."

Rounding up 88 to the nearest hundred, we have the following:

Rounded up number = 88 ≈ 100

Rounding up 12 to the nearest ten, we have the following:

Rounded up number = 12 ≈ 10

Therefore, the product of 100 and 10 is given by:

Product = 100 × 10

Product = 1,000.

In this context, we can reasonably and logically deduce only two statements are true while all of the other statements are false and incorrect.

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Complete Question:

Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.

If she rounds both values to the nearest ten, her estimate will be 800.

If she rounds both values to the nearest ten, her estimate will be 900.

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000

If she rounds both values to the nearest ten, her estimate will be 1,600.

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 2,000.

The answer is;

''If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.''

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The angle- angle criterion (AA) is sufficient to establish similarity in triangles

Now,

We know two corresponding angle are congruent in two triangles,

then the third angle would have to be congruent too.

Thus, The degree in a triangle add up to 180 degrees .

So, The answer is;

''If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.''

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Depending on the scale factor, the dilation picture will either be larger or smaller than the preimage.

What is an example of a scale factor?

What in mathematics are preimage and image?

Preimages are parts of the range, and images are the range's elements.

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A

source: trust me bro

Answer:

15.04

Step-by-step explanation:

7.77−1.66x+16.7x

Combine −1.66x and 16.7x to get 15.04x.

d/dx (7.77+15.04x)

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n-1.

15.04x^1-1

Subtract 1 from 1.

15.04x ^0

For any term t except 0, t ^0 =1.

15.04×1

For any term t, t×1=t and 1t=t.

and that leaves us with 15.04 as your answer

hopes this helps

Step-by-step explanation:i went on half of 84 wich was 42 so i found another problem that can equal into 84 wich was 63 green marbles 21 red             

Answer:

Below

Step-by-step explanation:

Realize  ----    Angle 3 = Angle 7

  from this , you should be able to see that angle 3 and angle 6 are supplementary ( they add to 180 degrees....straight line)

Answer:

x + 100 = 4x +49

x= 17

158+148+32+x = 360

338+x= 360

x= 22

let me know if you need more help

The form of the equation y − 2 = 58(x + 16) is the (b) Point Slope Form

From the question, we have the equation to be

y − 2 = 58(x + 16)

The above equation is a linear equation

A  linear equation can be represented in three forms:

When the above forms are compared to y − 2 = 58(x + 16), we have the form to be y − Y = 58(x - X)

Hence, the equation is in its Point Slope Form

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Answer: 369.

Step-by-step explanation:

We need to do trial and error to do this.

I'm going to try 3 because I know 4 is too high.

3, 6, and 9.

3 + 6 is 9.

9 + 9 is 18.

This means that the answer is 369.

For a Regression Analysis that the value of R is 0.42, the value of the Coefficient of Non-Determination is 0.8236.

Coefficient of non-determination is the variation recorded in the dependent variable which is not counted by the changes in the explanatory variable. This is calculated by subtracting Coefficient of Determination from 1.

Coefficient of Non-Determination explains the amount of unexplained, or unaccounted for, variance among two variables, or among a set of variables (predictors) in an outcome variable.

The formula for the Coefficient of Non-Determination is 1 – R².

So, in this case:

1 – R²

= 1 – (0.42)²

= 1 – 0.1764

= 0.8236

Hence, the value of the Coefficient of Non-Determination is 0.8236.

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Answer:

The meaning of life according to some people is to party and have fun all ur life. The reason we exist is God created us.

Step-by-step explanation:

The answer of the problem is -48.

The evaluation:

given that m = -32, n = 2, p= -8, and r = 4

∴ we have to find the value of pr/n + m

⇒ pr/n + m

⇒ -8×4/2 + (-32)

⇒ -8×2 - 32

⇒ -16 - 32

⇒ -48

So the value of the figure is -48.

The probability is that the married couple watches the show is 0.35.

According to the statement

We have to find the probability is that the probability that married couple watches the show is 0.35.

For this purpose, we know that the

Probability is the ratio of the number of outcomes to the total number of possible outcomes.

With the given information

a married man watches a certain television show is 0.4

the probability that a married woman watches the show is 0.5.

the probability that a man watches the show, given that his wife does, is 0.7

Then

Let M be the event that a married man watches a certain T.V.

And N be the event that a married woman watches the show.

The probability become

[tex]P(M)=0.4[/tex]   [tex]P(F)=0.5[/tex]

and the

[tex]P(\frac{M}{F} )=0.7[/tex]

Then

The probability become is the

P(M∩F)=0.7*0.5

And

[tex]P=0.7*0.5[/tex]

[tex]P=3.5[/tex]

So, The probability is that the married couple watches the show is 0.35.

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Disclaimer:

This question was incomplete. Please find the full content below.

Question:

The probability that a married man watches a certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

the probability that married couple watches the show.

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Answer:

Based on the information given, the SuperFast Deluxe machine is the faster copier. This can be determined by calculating the rate of copies for both machines at each time interval. For Quick Copies, we can calculate the rate using the equation c = 1.5t. For the SuperFast Deluxe, it can be simply observed that the number of copies produced increases by 8 each interval. We can then determine that the SuperFast Deluxe creates copies more quickly than the Quick Copies machine. Therefore, the principal should choose the SuperFast Deluxe.

We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,([tex]H_{0}[/tex]):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,([tex]H_{A}[/tex]) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ [tex]\sqrt{p'(1-p')/n}[/tex] ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ [tex]\sqrt{0.231( 1- 0.231)/ 273}[/tex]

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Answer:

3y+3y-12

Step-by-step explanation:

when they have the same variable with same power you can just combine the coefficient

3y+3y-12

6y-12

Hopes this helps please mark brainliest

Answer:3y+3y-12

Step-by-step explanation:

3y+3y=6y

-12

6y-12=3y+3y-12

a. The function to represent the situation y = 420x.

b. The store charge for each tablet to maximize its profit is $408

c. The  domain is [0, ∞) and the range is [0, ∞).

Function:

Basically, the term function means the relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given,

Last year, an office supply store sold 220 computer tablets for $420 each. This year its manager is considering reducing the price to increase sales. She estimates that for each $12 decrease in price, the store will sell 20 additional tablets.

Here we need to find the following:

a. The function to represent the situation

b. The store charge for each tablet to maximize its profit

c. The domain and range

While we looking into the given question as have identified that,

Price of each tablet = $420

Number of tablet sold = 220

Let us consider x be the number of tablet sold and y be the total amount.

So, the function that is used to calculate the sold tablet numbers is written as,

=> y = 420x

Here the store charge for each tablet to maximize its profit is $12.

So, the current price for the tablet is $408.

Here the domain is [0, ∞) and the range is [0, ∞).

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Answer:

i the anserw is b than c

Step-by-step explanation:

There are 19 randomly selected Americans must be surveyed, if we want to estimate 99% confidence interval for the true proportion of Americans who support the gun control in 2018 with a 0.36 margin of error

randomly selected americans must be surveyed can be calculate as follows:

If the prior population proportion is unavailable then the formula to find the sample size is given by :

[tex]n= 0.25(\frac{z*}{E} )^{2}[/tex]where,

z* = Critical z-value

E = margin of error

Let p be the proportion of Americans who support the gun control in 2018.

As per given , we have

Confidence level = 92%

The critical z-value for 92% confidence interval is 1.75 ( BY z-table)

Margin of error : E= 0.2

Since there no  prior information about the proportion of Americans who support the gun control in 2018.

So , the required sample size  to estimate 99% confidence interval would be:

[tex]n= 0.25(\frac{1.75}{0,2} )^{2}\\n= 0.25(8.75)^{2} \\n= 0.25 (76.5625)\\n= 19.14[/tex]or 19

Hence,  19 Americans should be surveyed.

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The preimage of the point C'(x, y) = (- 3, - 10) is the point C(x, y) = (5, - 14).

In this question we find the coordinates of a point that is result of a translation. Translations are examples of rigid transformations, whose vector formula is shown below:

C'(x, y) = C(x, y) + T(x, y)

Where:

Please notice that the original point C(x, y) is the preimage of C'(x, y).

If we know that C'(x, y) = (- 3, - 10) and T(x, y) = (- 8, 4), then the preimage of the point C is:

(- 3, - 10) = C(x, y) + (- 8, 4)

C(x, y) = (- 3, - 10) - (- 8, 4)

C(x, y) = (- 3, - 10) + (8, - 4)

C(x, y) = (5, - 14)

The preimage is the point C(x, y) = (5, - 14).

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The correct choice is C. If she earns $50,000 a year, he will pay $5,000 in federal income tax.

federal taxable income is That portion of gross income known as “taxable income” is used to determine your tax liability for a particular tax year. It can be loosely defined as adjusted gross income less allowable standard or personal deductions.

we can calculate federal income tax  as below:

Your adjusted gross income determines your total federal income tax (AGI). The 1040 form and accompanying schedule must record all income from multiple categories, including wages, interest and dividends, and business income.

So if your income is $50,000, your federal income tax is $5,000. The correct answer is C. If she earns $50,000 a year, he will pay $5,000 in federal income tax.

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Answer:

142 ft2

Step-by-step explanation:

3/4 is eaqaul to 0.75 so 17.75 x 8

Answer:

1/3 ; 10/21

Step-by-step explanation:

total sweets = 4+3+5+7+2 = 21

3.1.1

7/21 = (7:7)/(21:7) = 1/3

3.1.2

(5+3+2)/21

10/21

The pyramid is 13 units long with polygon as a base.

A pyramid is a 3D polyhedron with the base of a polygon along with triangle-shaped faces that meet at a point above the base.

The triangular sides are called faces and the point above the base is called the apex.

A pyramid is made by connecting the base to the apex.

Looking at the object shown,

The base of the pyramid is Hexagon , a polygon with 6 sides

The height of the pyramid is 13 units.

The vertex of the pyramid is E , A ,Y ,P ,T ,A ,N

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