Ask question

Ask question

All categories

2 years ago

12

In 1995 the U.S. federal government debt totaled 5 trillion dollars. In 2008 the total debt reached 10 trillion dollars. Which o

f the following statements about the doubling time of the U.S. federal debt is true based on this information?

1 answer:

Ipatiy [6.2K]2 years ago

4 0

Where are the statements?

You might be interested in

What is 40.06 divided by 5.23 ? I need a tutor ‍♂️

Mekhanik [1.2K]

Rounded answer is 7.66

Regular answer is 7.65966

5 0

3 years ago

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a pers

Arturiano [62]

Answer:

A person who watches 8.5 hours of TV can do 30.4 sit ups.

Step-by-step explanation:

The regression equation is used to predict or estimate the value of the response (or dependent) variables using the information about the explanatory (or predictor) variables.

The general form of a regression equation is:

$y=ax+b$

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

The regression equation representing the relationship between hours of TV watched per day (<em>x</em>) and number of sit ups a person can do (<em>y</em>) is:

$y=-0.74x+36.359$

Compute the number of sit ups a person who watches 8.5 hours of TV can do as follows:

$y=-0.74x+36.359$

$=(-0.74\times 8.5)+36.359\\=-6.29+36.659\\=30.369\\\approx 30.4$

Thus, a person who watches 8.5 hours of TV can do 30.4 sit ups.

6 0

3 years ago

Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

3 years ago

Iris weighed 5 large watermelons from her garden. Here are the weights in pounds. 17,11,21,24,22 what is the mean weight

Rufina [12.5K]

Answer:

Mean weight = 19 pounds

Step-by-step explanation:

From the question given above, the following data were obtained:

17, 11, 21, 24, 22

Number of data (n) = 5

Mean weight =?

The mean of a set of data is the value obtained by adding all the data together and dividing the result obtained by the total number of data. Thus, the mean can be obtained as follow:

Summation of data = 17+ 11 + 21 + 24 + 22

= 95

Number of data = 5

Mean = Summation of data / Number of data

Mean = 95 / 5

Mean weight = 19 pounds

Therefore, the mean weight of the data is 19 pounds

5 0

3 years ago

If G varies inversely as r, and G = 18 when r= 4, find G when r= 6

UkoKoshka [18]

The model to use here is y = k/x.

If g =18 when r = 4, then 18 = k/4. Solving for k, k = 72.

Then g = 72/r. If r = 6, g = 72/6 = 12 (answer)

3 0

3 years ago