All categories

4 years ago

HELP PLEASE!!!! WILL GIVE BRAINLY!!!

Mathematics

1 answer:

Nitella [24]4 years ago

4 0

Answer:

The correct answer is C. 3(5)^6

Step-by-step explanation:

Which expression is equivalent to 3 x 5 x 5 x 5 x 5 x 5 x 5?

3 x 5 x 5 x 5 x 5 x 5 x 5

We can observe that there is a number three that is multiplying six times the number five. Translating this as a mathematics expression, we have:

3 * 5⁶

The correct answer is C. 3(5)^6

A is discarded because the number that is multiplying 5⁶ is 3 not 15

B is discarded because the number that is multiplying 5⁶ is 3 not 15 and 5 is multiplied 6 times, not 7. That is also the reason why we discard answer D.

You might be interested in

Flip 10000 fair coins. You are offered a 1-1 bet that the sum is less than 5000. You can bet 1, 2, ..., 100 dollars. How much wi

insens350 [35]

Answer:

Step-by-step explanation:

Given that 10000 times a fair coin is flipped. Since fair coin prob for head of tail =0.5

If tail comes it will be taken as 1. Hence for the sum to be less than 5000, no of heads <5000

Since trials are large we approximate to normal with mean = np = 5000 and variance = np(1-p) = 2500

Thus no of heads x is normal with (5000, 50)

$P(X$

Since this prob is less than 0.5 only minimum amount to be bet i.e. 1 dollar

If sum of coins <5100, then Z = $\frac{5100-5000}{50} =2$

P(Z<2) = 0.9500

This time we can bet maximum of 100 dollars as probability is very high nearer to 1.

4 0

4 years ago

3x-6y=6 in function notation

JulijaS [17]

Subtract 3x from both sides:

-6y = -3x + 6

divide both sides by -6 to get y by itself:

y = 1/2x - 1

function notation is rewriting y as a function:

f(x) = 1/2x -1

3 0

3 years ago

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

$s = 4$ -- base sides

$V = 36$ -- Volume

Pyramid B

$s = 6$ --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

3 years ago

Read 2 more answers

A teacher has a bag of 100 unit cubes. She gives a equal number of cubes to each of the 7 groups in her class. She gives each gr

Ber [7]

There would be to left over if you put 14 cubes in each group

8 0

3 years ago

A pool in the shape of a rectangle has a perimeter of 80feet. The pool is 8 feet less wide than it is long. Find the length and

Lyrx [107]

Answer:

The length and width of the pool = 24 ft and 16 ft

Step-by-step explanation:

Let length of pool be l and width of pool be w.

A pool in the shape of a rectangle has a perimeter of 80feet.

Perimeter of pool = 2 x ( l + w ) = 80 feet

That is

l + w = 40 ft -----------------------------------eqn 1.

The pool is 8 feet less wide than it is long.

l = 8 + w

l - w = 8 ft -----------------------------------eqn 2.

eqn 1 + eqn 2

2 l = 48

l = 24 ft

Substituting

24 + w = 40

w = 16 ft

The length and width of the pool = 24 ft and 16 ft

5 0

4 years ago

Read 2 more answers