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Illusion [34]
3 years ago
6

Can someone please help me to figure out the volume of this pastry bag :/

Mathematics
1 answer:
malfutka [58]3 years ago
4 0
First off,we need to understnad the formula of a cone:
\frac{1}{3} \pi \times {radius}^{2} \times height
In this case,the radius:
=5.8÷2
=2.9in

The volume of the cone:
\frac{1}{3} \pi \times {2.9}^{2} \times 16 \\ = \frac{1}{3} \pi \times 134.56 \\ = \frac{3346}{75} \pi \\ = 140.9109...

Therefore,the answer is 3365/75兀 or 140.91.

Hope it helps!
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Suppose that the functions q and r are defined as follows.
satela [25.4K]

Answer:

(r o g)(2) = 4

(q o r)(2) = 14

Step-by-step explanation:

Given

g(x) = x^2 + 5

r(x) = \sqrt{x + 7}

Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

g(x) = x^2 + 5

g(2) = 2^2 + 5

g(2) = 4 + 5

g(2) = 9

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

r(x) = \sqrt{x + 7}

r(9) = \sqrt{9 +7{

r(9) = \sqrt{16}{

r(9) = 4

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

So, first we calculate r(2)

r(x) = \sqrt{x + 7}

r(2) = \sqrt{2 + 7}

r(2) = \sqrt{9}

r(2) = 3

Next, we calculate g(r(2))

Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

g(x) = x^2 + 5

g(3) = 3^2 + 5

g(3) = 9 + 5

g(3) = 14

Hence:

(q o r)(2) = 14

8 0
3 years ago
Jay wants to buy 4 shirts which were originally priced at $15.95 each. He purchased the 4 shirts at a 20% off sale and pays a 6.
Murrr4er [49]

Answer:

I think its $32.50

Step-by-step explanation:

15.95 * 4 = 63.8

63.8 / 1/5 = 12.76

20% = 1/5

319 + 6 1/2 = 32.50

6 0
3 years ago
What is this answer?
Rainbow [258]

Answer:

None of the above

Step-by-step explanation:

3^3=81

-3^3=-81

6^3=216

-6^3=-216

5^3=125

7 0
3 years ago
Read 2 more answers
The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean o
prohojiy [21]

Answer:

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

Step-by-step explanation:

For a normal random variable with mean Mu = 3.2 and standard deviation sd = 0.8 there is a distribution of the sample mean (MX) for samples of size 4, given by:

Z = (MX - Mu) / sqrt (sd ^ 2 / n) = (MX - 3.2) / sqrt (0.64 / 4) = (MX - 3.2) / 0.4

For a sample mean of 3.0, Z = (3 - 3.2) / 0.4 = -0.5

For a sample mean of 3.0, Z = (4 - 3.2) / 0.4 = 2.0

P (3.2 <MX <4) = P (-0.5 < Z <2.0) = 0.6687.

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

6 0
3 years ago
There is a total of 270 men, women and children on a train.
ryzh [129]

Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:

Men to women becomes 8:10

Now total the 3 ratios: 8 for men, 10, for women and 9 for children:

8 + 10 + 9 = 27

Divide total people by that number:

270/27 = 10

Multiply 10 by each ratio:

Men = 8 * 10 = 80

Women = 10 * 10 = 100

Children = 9 *10 = 90



There is 80 men.

6 0
3 years ago
Read 2 more answers
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