Which expression is equivalent to (2x to 4 y) 3 exponent?

Answer:

962.11 or 306.25

Step-by-step explanation:

the area of a circle is  π(radius)squared

the radius is half of of the diameter which = 17.5

so *17.5 squared is 962.11

The question is not complete because it is not written correctly

Complete Question:

The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?

a. 362,880

b. 15,120

c. 126

d. 120

Answer:

b. 15,120

Step-by-step explanation:

In other to solve the question above, we would use the formula for permutation.

This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.

Permutation (n, r) = nPr = n!/(n - r)!

In the above question,

n = 9 people

r = 5 different parts

9P5 = 9!/(9 - 5)!

= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1

= 362880/ 24

= 15,120

Therefore, the number of ways that the roles can be assigned is 15,120 ways

Answer:

what circle

Step-by-step explanation:

Answer:

D

Step-by-step explanation:   hope this helps

Answer:

B. I'm petty sure about this one but cant quite put it into words Hoped this helped!!

Answer:

17 feet

Step-by-step explanation:

I used the Pythagorean theorem to answer this question.

a^2 + b^2 = c^2

15^2 + 8^2 = c^2

225 + 64 = c^2

289=c^2

c^2=289

c=√289

c=17 feet

The length of the tip of the tree to the tip of it's shadow will be;

⇒ 17 feet

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

A 15 feet tree casts a shadow that is 8 feet long.

Now,

Since, A 15 feet tree casts a shadow that is 8 feet long.

Hence, The length of the tip of the tree to the tip of it's shadow = x feet

So, We get by using the Pythagoras theorem;

⇒ x² = 15² + 8²

⇒ x² = 225 + 64

⇒ x² = 289

⇒ x = √289

⇒ x = 17

Thus, The length of the tip of the tree to the tip of it's shadow will be;

⇒ 17 feet

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ2

Answer:

DE//AB, applying Thales theorem:

CD/DA = CE/EB

=> EB = DA x CE/CD = 39 x 12/18 = 26 cm

=> Option B is correct

Hope this helps!

:)

Answer:

I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful

Step-by-step explanation:

Answer:

23561.9449

Step-by-step explanation:

i solved it using the formula :

[tex]2\pi \times r \frac{135}{360} [/tex]

Given that the area is 81 square inches, find out the length of the side of a square.

Area of Square = s^2

To find out the length, find the square root of 81.

Square root of 81 is 9.

9 x 9 = 81

Therefore, the length of a side on a square with an area of 81 inches is 9 inches.

Answer:

9

Step-by-step explanation:

just did it

Answer:

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

[tex]40x -10x \leq 9,800[/tex]

Where [tex]x[/tex] represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

[tex]30x\leq 9,800[/tex]

Solving for [tex]x[/tex]

[tex]x\leq \frac{9800}{30}\\ x \leq 326.67[/tex]

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

Answer:

Step-by-step explanation:

Given

Diver is standing [tex]7\ m[/tex] above water

Diver is at a maximum height of [tex]h=7+2=9\ m[/tex] at [tex]t=2\ s[/tex]

So, at [tex]t=2\ s[/tex] his velocity is zero

After this he will be under free fall

using

[tex]s=ut+\frac{1}{2}at^2[/tex]

here [tex]u=0[/tex]

[tex]s=\frac{1}{2}\times 10\times (3)^2[/tex]

[tex]s=5\times 9=45\ m\quad \text{(not possible)}[/tex]

but the distance between the pool and Henry is [tex]9\ m[/tex]

So, he reaches the pool before [tex]5\ s[/tex]

[tex]9=\frac{1}{2}\times 10\times (t)^2[/tex]

[tex]t=\sqrt{1.8}[/tex]

[tex]t=1.34\ s[/tex]

So, he reaches pool at [tex]t=2+1.34=3.34\ s[/tex] after diving off the board

Answer:

Ignore the answer above, the correct answer is 4.5m.

Step-by-step explanation:

If you ignore all the useless information, you'll see that the parabola Henry creates has a vertex of (2,9) (because obviously the parabola opens downwards). Using this, we can deduce the vertex form of the equation for this parabola to be y=-a(x-2)²+9. This is because the vertex is always equal to (h,k), and the vertex form of any parabola is written as y=a(x-h)²+k. Now, you can solve for a to find it is 0.5, by using (0,7) as the y-intercept (aka the diving board, his starting location). Now, you can graph y=-0.5(x-2)²+9 by using mapping notation, (I find to be the easiest), or any other strategy you'd like. Once graphed, it is clear to see that when the parabola reaches 5 along the x-axis, (simpler if you think of the x-axis as time and the y-axis as height), it is plotted at 4.5 on the y-axis. This means that after 5 seconds, Henry is 4.5 meters above the water.

Answer:

12.955

Step-by-step explanation:

you know they made errors because between all the numbers, the whole number is 12 and the rest are 0, which means that the whole number part cannot be less than 12. While for the decimal part the largest number of decimal places is 3, and that what your final answer has to have. I hope this helped :)

Answer:

Momentum is how much something wants to keep moving in the same direction. p = m v. p = m v. p = 1500 kg × 28 m/s. p = 42 000 kg m/s. The unit for momentum is

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of the cylinder is = π x r x r x h = π x 2 x 2 x 9 = 113.097

Answer:

E

Step-by-step explanation:

If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.

The score she must get during the 6th game to have a mean of 12 point score per game is 22.

The mean is the average of numbers.

Mathematically, it is represented as follows;

mean = sum of terms / number of terms

Therefore, to get a mean of 12 point score per game the 6th score can be calculated as follows:

let

x = 6th score

Hence,

8 + 12 + 10 + 6 + 14 + x   / 6 = 12

50 + x / 6 = 12

cross multiply

12 × 6 = 50 + x

72 = 50 + x

72 - 50 = x

x = 22

Therefore, the score is 22.

learn more on mean here: https://brainly.com/question/26277430

Answer:

3

Step-by-step explanation:

Leading Coefficients are numbers in front of the variable (x in this case) with the largest exponent (2 in this case)

3x^2 where 3 is the number in front of the variable.

Answer:

Step-by-step explanation:

Let x represent the distance between Earth and its moons.

Saturn’s rings span up to about (7.5 × 10^-1) of the distance between the Earth and its moons. It means that Saturn’s rings span is

(7.5 × 10^-1)x

If Saturn’s rings span up to 2.82 × 10^5 kilometers, it means that

(7.5 × 10^-1)x = 2.82 × 10^5

Dividing both sides of the equation by 7.5 · 10^-1, it becomes

x = (2.82 × 10^5)/(7.5 × 10^-1)

x = 3.76 · 10^5 km

Answer:

1. 72

2. 60

3. 35

4. 32

Step-by-step explanation:

1. 6 x 4 x 3= 72

2. 5 x 3 x 4= 60

3. 5 x 2 x 2= 20

5 x 3 x 1= 15

20 + 15= 35

4. 5 x 3= 15

2 x 2=4

4 x 8= 32

Answer:

the first option

Step-by-step explanation:

the 6 represents the diameter of the base

the 4 represents the height of the cone

if it needs a radius to solve the problem, divide the diameter by 2 (aka half of the diameter)

Answer:

The arc length of a sector:

[tex]A = \frac{9}{10} \pi[/tex]

Step-by-step explanation:

-The equation for finding the Arc length, would be:

[tex]Arc length = \frac{a}{360\textdegree} 2\pi r[/tex]

-Use the given radius and the central angle for the equation:

[tex]A = \frac{18\textdegree}{360\textdegree} 2\pi (9)[/tex]

-Then, solve the equation:

[tex]A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9[/tex]

[tex]A = \frac{1}{20} \times 2\pi \times 9[/tex]

[tex]A = \frac{2}{20}\pi \times 9[/tex]

[tex]A = \frac{1}{10}\pi \times 9[/tex]

[tex]A = \frac{9}{10}\pi[/tex]

So, the arc length of a sector is [tex]\frac{9}{10} \pi[/tex] .

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

simplify [tex]\frac{2}{20}[/tex] to get [tex]\frac{1}{10}[/tex]

Answer:

One solution: (6, -1)

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

Answer:

exponential decay

Step-by-step explanation:

exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.Exponential decay occurs when the amount of decrease is directly proportional to how much exists.

Answer:

yes

Step-by-step explanation:

send the questions....

Answer:

4

Step-by-step explanation:

The area of a triangle is

A=1/2 bh

Where b is the base and h is  the height

A = 1/2 (4)(2)

A = 4

Answer:

d) 10.5 cubic inches

Step-by-step explanation:

[tex]volume = \frac{1}{2} \times 3 \times 2 \times 3.5 \\ = 3 \times 3.5 \\ = 10.5 \: cubic \: inches[/tex]

Answer:

(a 21

Step-by-step explanation:

3 times 3.5=  10.5

10.5 times 2= 21

We have been given that Toru has $80 to pay for dog grooming. The fee is $72 plus 7.25% tax. We are asked to determine whether Toru has enough money for grooming or not.

The total charges for grooming would be $72 plus 7.25% of $72.

[tex]\text{Total charges for grooming}=\$72+\$72\times \frac{7.25}{100}[/tex]

[tex]\text{Total charges for grooming}=\$72+\$72\times0.0725[/tex]

[tex]\text{Total charges for grooming}=\$72+\$5.22[/tex]

[tex]\text{Total charges for grooming}=\$77.22[/tex]

Since total cost of grooming is $77.22 and Toru has $80 to pay for grooming, therefore, Toru has enough money for grooming.

Answer:

The question might be centered on computation on the hourly rate earned by the three friends:

Nina $12.69

Ty $8.25

Kim  $8.60

Step-by-step explanation:

Hourly rate earned=total earnings/hours worked

Nina:

Nina earned $177.60 for 14 hours,hence hourly rate is $ 12.69   ($177.60/14)

Ty:

Ty earned $148.50 for 18 hours period of work,thus earned $8.25  ($148.50/18)

Kim earned $137.60 for 16 hours duration of work,invariably Kim earned  $8.60 ($137.60/16)

From the above analysis it is clear that Nina earned the highest hourly rate of $12.69 per hour

Answer:

Step-by-step explanation:

The question might be centered on computation on the hourly rate earned by the three friends:

Nina $12.69

Ty $8.25

Kim  $8.60

Hourly rate earned=total earnings / hours of work

Nina:

Nina earned $177.60 for 14 hours,

[tex]=\frac{177.60}{14}[/tex]

=  $ 12.69 per hour

Ty:

Ty earned $148.50 for 18 hours period of work,

[tex]=\frac{148.50}{18}[/tex]

=  $8.25 per hour 

Kim

Kim earned $137.60 for 16 hours period of work,

[tex]\frac{137.60}{16}[/tex]

 $8.60 per hour

From the  analysis it is obvious that Nina earned the highest hourly rate of $12.69 per hour

In triangle ABC and triangle ADE

angle A = angle A (common)

angle ABC = angle ADE

By AA similarity criterion , they are similar

Thus

AB/AD = BC/DE

4/12 = x/12

Thus x = 4

Answer:

4

Please see the photo I added, if you do not understand, specify in the comments...