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3 years ago

Match each cone's measures to its corresponding volume.

Mathematics

1 answer:

Art [367]3 years ago

8 0

Answer:

base area=16π in² height=6 in ⇒ base area= πr²

16π²=π(r)²

r=4 in

v=1/3 ×π (4)²×(6)

v=32π in²

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v=1/3 π(12/2)²×5

v=1/3π(31)×5=

v=60π in³

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v=1/3 π×(25×4)=

v=100π/3 in³

OAmalOHopeO

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Find the quotient of (11 ^ 18)/(11 ^ 3)

astraxan [27]

Answer:

The first choice, $11^{15}$ .

Step-by-step explanation:

The numerator, $11^{18}$ , is equivalent to eighteen " $11$ " multiplied together:

$11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}$ .

On the other hand, the denominator, $11^{3}$ , is equivalent to three " $11$ " multiplied with one another:

$11^{3} = 11 \times 11 \times 11$ .

Dividing $11^{18}$ by $11^{3}$ would eliminate three " $11$ " from the numerator:

$\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}$ .

In general, dividing an expression by $y^{b}$ ( $y \ne 0$ ) is equivalent to multiplying that expression by $y^{-b}$ .

For example, in this question, dividing $11^{18}$ by $11^{3}$ would be equivalent to multiplying $11^{18}\!$ by $11^{-3}$ . In other words:

$\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}$ .

6 0

2 years ago

The time it takes to process phone orders in a small florist/gift shop is normally distributed with a mean of 6 minutes and a st

Aleksandr [31]

E) 12 minutes

A normal curve has approximately 95% of graph between mean - 2sd and mean + 2sd
So 95% of the times will be between 0 and 12 minutes. 6 - 2x3 to 6 + 2x3
2.5% will take over 12 minutes

Strangely 2.5% will also take less than 0 minutes to process which shows the normal curve is not perfect in this example.

7 0

3 years ago

Write the range of the function using interval notation.

nalin [4]

Given:

The graph of a function.

To find:

The range of the given function using interval notation.

Solution:

Range: The set of y-values or output values are known as range.

From the given graph, it is clear that the function is defined for $0$ and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.

Range $=\{y|-2$

The interval notation is:

Range $=(-2,2]$

Therefore, the range of the given function is (-2,2].

3 0

3 years ago

Is this correct question correct?

____ [38]

No, it is not correct.

First of all, you put the little 4 after the 8.

What you did in the equation is 8x4, not 8x8x8x8.

So, the correct answer to 8x8x8x8 would be 4096.

Any Questions? Comment Below!

-AnonymousGiantsFan

4 0

4 years ago

Read 2 more answers

Distance traveled varies jointly as rate and time. If Fred travels 135 miles in 3 hours at a rate of 45 mi/hr, find the rate at

Rudiy27

From the relation, d is joint proportionaly with r and t.
Thus,d = krt.

Using the first set of given, we could calculate for k.135 = k(45)(3)k = 1

Using the computed value of k.d = krtr = d/ktr = (189)/(1)(3.5) = 54 mph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

6 0

3 years ago