How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?
A. They have different values and are different signs.
B. They have different values but are the same sign.
C. They have the same value but are different signs.
D. They have the same value and the same sign.

Answer:

if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in

Step-by-step explanation:

As the hexagon is regular, each of those triangles will also be regular.

So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:

height = side * sqrt(3)/2

8 = side * 0.866

side = 8/0.866 = 9.2379

The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:

P = 6 * 9.2379 = 55.43 inches

Answer:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] \sigma = 0.73[/tex] represent the population deviation

[tex] \bar X = 84.5[/tex] represent the sample mean

[tex] n =60[/tex] represent the sample size

And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

3$

Step-by-step explanation:

12$-(12$:4+12$:2)=12$-(3$+6$)=12$-9$=3$ Hope this helped!

Answer:

The z-score of a 65-mph speed limit is -0.75

Step-by-step explanation:

Here, we want to calculate the z-score

To calculate the z-score, we make use of the z-score formula

Mathematically;

z-score =(x-mean)/SD

from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph

Plugging these values into the equation above, we have

z-score = (65-71)/8 = -6/8 = -0.75

Answer:

77

Step-by-step explanation:

Answer:

[tex]A = 128\,cm^{2}[/tex]

Step-by-step explanation:

El área del rectángulo se halla a través de la siguiente fórmula: (The area of the rectangle is obtained by the following formula:)

[tex]A = (40\,cm - 2\cdot x)\cdot x[/tex]

Donde el área y [tex]x[/tex] se miden en centímetros cuadrados y centímetros, respectivamente. (Where area and [tex]x[/tex] are measured in square centimeters and centimeters, respectively)

Ahora, [tex]x[/tex] se reemplaza y se encuentra el valor numérico del área: (Now, [tex]x[/tex] is substituted and numerical value of area is finally determined:)

[tex]A = [40\,cm - 2\cdot (4\,cm)]\cdot (4\,cm)[/tex]

[tex]A = 128\,cm^{2}[/tex]

Answer:

18 is the least common multiple

Answer:

18

Step-by-step explanation:

Answer:

151 degrees

Step-by-step explanation:180 - 29=151

Answer:

The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.

Step-by-step explanation:

5/16 = 20/x

5x = 320

x = 64

30/80 = 3/8

10/80 = 1/8

25/80 = 5/16

15/80 = 3/16

3/8*2000 = 750

1/8*2000 = 250

5/16*2000 = 625

3/16*2000 = 325

Answer:

B) x=16

Step-by-step explanation:

The 3 is the base, the expression in the parenthesis is the argument and the 4 is the exponent

We also know that [tex]base^{exponent}[/tex] = argument

so therefore the new equation is [tex]3^{4}[/tex] = 5x+1

3 to the fourth power is 81

so 81=5x+1

then solve algebraically

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

Answer:

$5,490

Step-by-step explanation:

i = prt

i = ($61,000)(.03)(3)

5,490

Answer:

$5490

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 3/100 × 3

I = $5490

Answer:

-1 -8

Step-by-step explanation:

Answer:

(1,8)

Step-by-step explanation:

only point that doesn't go through other lines

Answer:

68cm

Step-by-step explanation: this is the right answer :)

Answer:

Answer: -0.008

Step-by-step explanation:

Hope this helped!

Answer:

a²+b²=c²

Step-by-step explanation:

a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse

Answer:  One solution

namely x=3.   We have a product that's zero so the solutions come from each factor being zero; here the factors are the same so we only get one solution.

Answer:

Step-by-step explanation:I hope it's only one...

Answer:

40%

Step-by-step explanation:

hope this helps :) .. ..

Answer:

One

Step-by-step explanation:

Since (1) is the highest exponent value, there can only be one solution.

IF t^2 then there would be two answers.

Answer:

One solution

Step-by-step explanation:

To find the amount of solutions, you must solve first:

-8 + t = -t + 10

First, add t to both sides:

-8 + 2t = 10

Add 8 to both sides:

2t = 18

Divide both sides by 2:

t = 9

Since there has been a solution to this equation, that means there's only one solution.

Answer:

D.

Step-by-step explanation:

Since it's absolute value, it makes the number positive

Answer:

I'm pretty sure it would be the last option because |-2| is the absolute value of -2, which is 2 because the absolute value of a number is it's distance from 0 on a number line. The distance between A and C on the number line is 2, so this is the answer.

Answer:

100

Step-by-step explanation:

Because the 40 degree angle is an inscribed angle opposite of arc u, arc u's angle measure must be 40*2=80 degrees. Since t+u=180 degrees, t must be 100 degrees. Hope this helps!

Answer:

Im 99 percent sure its b or c

Step-by-step explanation:

but wait for the other kid to answer

Answer:

length of the arc = 6.28 ft

Step-by-step explanation:

[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]

Answer: B

Step-by-step explanation:

[tex]4-12x+9x^{2} \\4-6x-6x+9x^{2} \\2(2-3x)-3x(2-3x)\\(2-3x)(2-3x)\\(2-3x)^2[/tex]

Answer:

Multiply by 3 on both sides of the equation.

2.78 × 3 = 8.34, so t = 8.34.

Substitute 8.34 for t to check the solution.

Step-by-step explanation:

To solve the equation  [tex]\frac{t}{3}[/tex]= 2.78

we will use the steps below to solve this equation;

First, multiply by 3 on both-side of the equation. That is;

[tex]\frac{t}{3}[/tex] ×  3= 2.78 × 3

On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34

t = 8.34

we can further substitute 8.34 for t to check the correctness of the solution

that is;

[tex]\frac{8.34}{3}[/tex] =  2.78

Answer:

1,4,5