+
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1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990
through 2009 can be approximated by the function M = f(0) = 0.0037(t + 14.979), where t = 0
represents the year 1990.
(a) Describe the transformation of the common function f(x) = x2. Then sketch the graph over the
intervalo s t < 19.
(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.
(c) Use the model from part (b) to predict the mortgage debt in the year 2014.

Step-by-step explanation:

Need to find out total hours and total pay and simplify the answer.

Total Hours = 1+2+3+4+5+6 = 21

Total Pay = 25+40+55+70+85+100 = 375

Pay ÷ Hours = 375 ÷ 21 = 17.86

Not convinced with this answer tbh but it's what I got.

Answer:

Because it is decimal

Step-by-step explanation:

Decimal do not have remainder

Probabilities are used to determine the chances of events.

The given parameters:

[tex]n = 5[/tex] ---- the number of candy bars

[tex]p = 40\%[/tex] ---- the probability of selling a candy bar

(a) Name distributions

The distribution of X is represented as:

[tex]X \sim(r,p)[/tex]

Where:

[tex]r = 5[/tex]

[tex]p= \frac{5\times 40\%}{10}[/tex]

[tex]p= 0.2[/tex]

So, the name distribution of X is [tex]X \sim(r= 5,p = 0.2)[/tex]

(b) The probability that the last candy is sold at the 11th house

This means that:

[tex]n = 10[/tex] --- the number of previous houses

[tex]r = 4[/tex] --- the previous number of candies

[tex]p = 0.4[/tex] --- the given probability of selling a candy

The probability is calculated using:

[tex]P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}[/tex]

This gives

[tex]P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}[/tex]

[tex]P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6[/tex]

[tex]P(x = 11) = 210 \times 0.4^5 \times 0.6^6[/tex]

[tex]P(x = 11) = 0.1003290624[/tex]

Approximate

[tex]P(x = 11) = 0.1003[/tex]

Hence, the probability that the last candy is sold at the 11th house is 0.1003

(b) The probability he sells the candies on or before the 8th house

The probability is calculated using:

[tex]P(x \le 8) = P(5 \le x \le 8)[/tex]

This gives

[tex]P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2[/tex]

[tex]P(x = 11) = 0.1737[/tex] ---- approximated

Hence, the probability he sells the candies on or before the 8th house is 0.1737

Read more about probabilities at:

https://brainly.com/question/251701

Equations are used to represent functions, and vice versa.

The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

The function is given as:

[tex]\sqrt{6-y^2}=x[/tex]

Square both sides

[tex]6-y^2=x^2[/tex]

Subtract 6 from both sides

[tex]-y^2=x^2 - 6[/tex]

Multiply both sides by -1

[tex]y^2=6 - x^2[/tex]

Take square root of both sides

[tex]y=\sqrt{6 - x^2[/tex]

Express as a function

[tex]f(x) = \sqrt{6- x^2[/tex]

Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]

Read more about functions and equations at:

https://brainly.com/question/13336451

Answer: 14

the answer is 14

Answer: 14

Step-by-step explanation: LCMof 2 and 7 is the smallest number among all common multiples of 2 and 7. The first few multiples of 2 and 7 are (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively.

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

Answer:

-1 is the next one ithink

Answer:

6/49

Step-by-step explanation:

2/7 * 3/7

2 * 3/ 7 * 7

3 * 3/7¹⁺¹

2 * 3/7²

6/49

Answer:

D

Step-by-step explanation:

Answer:

Last answer, height is 150 ft

Step-by-step explanation:

from the graph, you can clearly see, when T=3, H=150

Which means The firework is at a height of 150 feet

Answer:

D

Step-by-step explanation:

At 3 seconds, the firework is at a height of 150 feet

Answer is D. third option

The firework is at a height of 150 feet

Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.

The sum of the fraction 6/7 and 1/2 is 19/14

Given:

sum of 6/7 and 1/2

Sum means addition(+)

= 6/7 + 1/2

The least common denominator is 7 × 2 = 14

= 6/7 + 1/2

= (12+7) / 14

= 19/14

Therefore, the sum of 6/7 and 1/2 is 19/14

Learn more about fraction:

https://brainly.com/question/11562149

Answer:

C. 170

Step-by-step explanation:

68/4=17

17 is 10% of the unknown number

17 times 10 is 170

Answer:

Step-by-step explanation:

68 is 40% of what number?

A.17

B.136

C.170

D.270

68 : 40 * 100 = 170

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

Answer:

x=8

Step-by-step explanation:

x+x+5=x+x+x-3

2x+5=3x-3

Subtract 2x from both sides.

5=x-3

Add 3 to both sides.

8=x

-hope it helps

Answer:

Brandon will make 9 dollars an hour while he works at the resturant

Step-by-step explanation:

63/7=9

Hi!

If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.

7 goes into 63 nine times, therefore he makes $9 per hour.

Hope this helps and let me know if you need any other help! :D

Answer:

x<-9

Step-by-step explanation:

subtract the 7x from the right side to bring it over to the left side to get:

2x-7<-25

then add the 7 from the left side to bring it over to the right side to get:

2x<-18 and then divide both sides by 2 to get the final inequality to be:

x<-9

Therefore, the solved inequality is x < -9.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Hi can you translate into English then I would be happy to help

Using proportions, it is found that:

In this question, 42 out of 75 customers voted for the cheddar flavor, hence:

[tex]p = \frac{42}{75}[/tex]

That is, the fraction that shows the proportion of customers who voted for cheddar flavor is [tex]\frac{42}{75}[/tex]

The percentage is:

[tex]\frac{42}{75} \times 100\% = 56\%[/tex]

56% of customers voted for cheddar flavor.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

Equations 1 & 3 are correct.

Explanation:

Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.

Answer:

1 and 3 are correct

Step-by-step explanation:

Since the two triangles are congruent, we can square the triangle's side to find 't'.

Therefore, t equals 25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\[/tex]

=====================================================

Explanation:

The scale factor is 2, which means we double each coordinate of each point. The general rule is [tex](x,y) \to (kx,ky)[/tex] with k = 2. So we can say the more specific dilation rule is [tex](x,y) \to (2x,2y)[/tex]

Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.

The given preimage points

will dilate to the corresponding image points

as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.

7 x 27               189

              =    -------------------

9 x 1                     9

Answer:

y=-2x+4

Step-by-step explanation:

Since it is parallel, it has to have the same slope m=-2. Just use the equation y-y=m(x-x) to solve the equation of the line.

[tex]y-y_0=m(x-x_0)\\y-(-2)=-2(x-3)\\y+2=-2x+6\\y=-2x+4[/tex]

Problem 1

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

Explanation:

The vertices are (-12,0) and (12,0). Both of which are on the same horizontal line. Because of this, we have a hyperbola that opens leftward and rightward. Such hyperbolas are of the form

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]

where (h,k) is the center and the a,b terms help set up the asymptotes.

The midpoint of the vertices (-12,0) and (12,0) is the point (0,0). This is the center. So we know that h = 0 and k = 0.

For left/right opening hyperbolas, the asymptotes can be described as the equations:

y = (b/a)x

y = (-b/a)x

Or we can condense them into [tex]y = \pm \frac{b}{a}x[/tex]. Compare this to the given equation [tex]y = \pm\frac{5}{12}x[/tex] to see that b = 5 and a = 12.

Therefore, we get the following:

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\\\\\frac{(x-0)^2}{12^2}-\frac{(y-0)^2}{5^2}=1\\\\\frac{x^2}{144}-\frac{y^2}{25}=1[/tex]

That points us to choice D.

You chose the correct answer.

=============================================================

Problem 2

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

Explanation:

Divide both sides by 3600 so we can turn that "3600" into "1". Then our goal is to get that "1" to its own side like so:

[tex]25x^2-144y^2 + 3600 = 0\\\\\frac{25x^2-144y^2 + 3600}{3600} = \frac{0}{3600}\\\\\frac{25x^2}{3600}-\frac{144y^2}{3600} + \frac{3600}{3600} = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} + 1 = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} = -1\\\\-\frac{x^2}{144}+\frac{y^2}{25} = 1\\\\-\frac{x^2}{12^2}+\frac{y^2}{5^2} = 1\\\\[/tex]

We see that a = 12 and b = 5 like earlier, so we end up with the same asymptotes as before. The only difference is that this hyperbola opens upward/downward rather than left/right.

You made the correct choice in picking answer A. Both of your answers are correct. Nice work.

Answer:

a)12

b)4

c)6

d)10

e)36

f)84

g)45

h)4

If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

[tex]y=ab^x[/tex]

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]

[tex]25=ab^3[/tex]............................(1)

Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]

[tex]10=ab^8[/tex].............................(2)

Divide equation (2) by equation (1)

[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]

Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: https://brainly.com/question/12940982

Answer:

If I am wrong I appologize I haven't done this math in years

Step-by-step explanation:

60÷7= 8.57

so each mile takes 8.57 mins

24÷8.57= 2.8 miles

Answer:

A.

Step-by-step explanation:

Answer:

13,608

Step-by-step explanation:

If 7/10 of the runners were women, than 3/10 of the runners were men. 3/10 of 45,360 runners is 13,608.

Hope this helps! Pls give brainliest! Also, plz sub to kgirl633 on yt.