The letters in the word
AUGUST are placed into a
bag. What is the probability
of selecting a U?

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

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Your question is confusing. The image of the question is attached below.

Answer:

dang you lazy this so easy

Step-by-step explanation:

What do you need help with?

Given:

Consider the function is:

[tex]h(t)=-16t^2+100t+5[/tex]

This function is used to calculate how far the potato will be from the ground at any given second (t).

To find:

The value of h(0) and its meaning in the context of the problem.

Solution:

We have,

[tex]h(t)=-16t^2+100t+5[/tex]

At t=0,

[tex]h(0)=-16(0)^2+100(0)+5[/tex]

[tex]h(0)=0+0+5[/tex]

[tex]h(0)=5[/tex]

Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.

Answer:

108 or 72

Step-by-step explanation:

:) cdhhyvfhjyvfyhgfvhghghhhjbh

do you have S s-n-a-p-c-h-a-t

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

Answer:

Number of months= 12 months

Step-by-step explanation:

Giving the following information:

One time fee= $20

Monthly fee= $7.5

Total cost= $115

To calculate the number of months, we need to use the following formula:

Number of months= (total cost - one time fee) / monthly fee

Number of months= (115 - 20) / 7.5

Number of months= 12.67

Number of months= 12 months

Answer:

Population: 30.32. Sample: 33.99

Answer: the answer is C.

Step-by-step explanation:

Answer:

Might be C?

Step-by-step explanation:

I got D. wrong (The width of the new interval is about one fourth the width of the original interval.)

Answer:

When we have something like:

[tex]\sqrt[n]{x}[/tex]

It is called the n-th root of x.

Where x is called the radicand, and n is called the index.

Then the term:

[tex]\sqrt[4]{16}[/tex]

is called the fourth root of 16.

And in this case, we can see that the index is 4, and the radicand is 16.

At the end, we have the question: what is the 4th root of 16?

this is:

[tex]\sqrt[4]{16} = \sqrt[4]{4*4} = \sqrt[4]{2*2*2*2} = 2[/tex]

The 4th root of 16 is equal to 2.

Answer:

slope is -2

Step-by-step explanation:

trust me :)

Answer: The slope would be -2

Answer:

H and K in the equations of a circle represents the coordinates of it's center point.

Step-by-step explanation:

The variables h and k represent the coordinates of the center of the circle

In the equations of a circle in standard form, [tex](x - h)^2 + (y - k)^2 = r^2[/tex].

The value of h corresponds to the x-coordinate of the center, while the value of k represents the y-coordinate of the center. The center of the circle is denoted as (h, k).

By specifying the values of h and k, we can determine the exact location of the center of the circle on the coordinate plane. These coordinates help identify the position of the circle in relation to the x and y axes.

For example, if the equation of a circle is [tex](x - 2)^2 + (y + 3)^2 = 16[/tex], the center of the circle is located at the point (2, -3), with h = 2 and k = -3.

Understanding the significance of h and k allows us to identify the center of a circle and provides valuable information for analyzing and graphing circles in the coordinate plane.

Therefore, the variables h and k represent the coordinates of the center of the circle

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Answer:

the answer is

X + 40 + 155 =180

Answer:

4.1 kilograms

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

= 7.6 kilograms - 3.5 kilograms

= 4.1 kilograms

Answer:

The only equation that would work is y=7

Step-by-step explanation:

Answer: x = 10

Step-by-step explanation:

The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

In this case, we have:

A = (x - 4)

B = (x - 2)

H = x

Then we have the equation:

(x - 4)^2 + (x - 2)^2 = x^2

Now we need to solve this for x, first let's simplify it.

(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2

2*x^2 - 12*x + 20 = x^2

2*x^2 - 12*x + 20 - x^2 = 0

x^2 - 12*x + 20 = 0

The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Then the solutions for our equation are:

[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]

Then the two possible solutions are:

x = (12 - 8)/2 = 4/2 = 2

Notice that if x = 2, then the length of the catheti will be:

A = 2 - 4 = -2

B = 2 - 2 = 0

This has no sense, so we can discard this solution.

The other solution for x is:

x = (12 + 8)/2 = 10

x = 10

Then:

H = 10

A = 10 - 4 = 6

B = 10 - 2 = 8

This solution makes sense, then x = 10.

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

Answer:

1/4 and 0.25 and 25% chance for blue, 2/5 and 0.4 and 40% chance for red, and 7/20 and 0.35 and 35% for green.

Step-by-step explanation:

add all the marbles (20) and that’s the total. then however many marbles in the color that’s the top number in the fraction. divide the top number by the bottom number to get the decimal and move the decimal 2 spaces to the right to get the percent.

Answer:

2.5

Step-by-step explanation:

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

Answer:

BD = 16

Step-by-step explanation:

32/BD = BD/8

BD² = 256

BD = 16

i have no idea what an outlier is maybe 1?

Answer:

2 is the outlier because if you look you cansee that 2 is the farthest away the other ones than the other ones!

Step-by-step explanation:

Answer:

1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.

Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.

Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.

2) The same relationship

Step-by-step explanation:

1)

3 x 3  = 9

4 x 4 = 16

5 x 5 = 25

2)

5 x 5 = 25

12 x 12 = 144

13 x 13 = 169

Answer:

$47.15

Step-by-step explanation:

41x15%=6.15

6.15+41=47.15

Answer: $47.15

Step-by-step explanation:

[tex]41 (1+.15)\\41 (1.15)\\= 47.15[/tex]

or you could do it in pieces

[tex]41(.15)= 6.15\\41+6.15= 47.15[/tex]

Answer:

1/2

Step-by-step explanation:

Use the slope formula.

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

4-6/5-9 = -2/-4 = 1/2

Answer:

D

Step-by-step explanation:

the median is 85, the mean is 85, the mode is 80.

it can't be A, B, or C. so it must be D.

Answer:

It should be 1000 miles

Step-by-step explanation:

If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.