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3 years ago

The volume of a sphere is 80pi cm3. What its is surface area to the nearest whole number

1 answer:

3 0

Volume = (4/3) * PI * radius^3
80 * PI = (4/3) * PI * radius^3
The 'PI's' cancel out leaving
80 = (4/3) * radius^3
radius^3 = 80/(4/3)
radius^3 = 60

radius = cube root (60)

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Which statement best describes how to determine whether f(x) = 9- 4x4 is an odd function?

vitfil [10]

Answer:

Option C.

Step-by-step explanation:

Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.

Consider the given function is

$f(x)=9-4x^2$

If $f(-x)=f(x)$ , then $f(x)$ is an even function.

If $f(-x)=-f(x)$ , then $f(x)$ is an odd function.

Now, substitute x=-x in the given function.

$f(-x)=9-4(-x)^2$

$f(-x)=9-4(x)^2$

$f(-x)=f(x)$

So, the given function not an odd function. It means it is an even function.

To check whether the given function is odd, we have to determine whether $9-4(-x)^2$ is equivalent to $-(9-4(x)^2)$ .

Therefore, the correct option is C.

6 0

3 years ago

1496 mm2 to square centimetres.

Kazeer [188]

Answer:

14.96

Step-by-step explanation:

1496mm *mm = 1496 * 1/10 cm * 1/10cm =1496/100 cm2

3 0

3 years ago

Read 2 more answers

a mulberry silk worm can spit a single thread the measure up to 3,900 ft in length. write the number in scientific notation?

mafiozo [28]

When written in scientific notation, 3,900 = 3.9 x 10^3

6 0

3 years ago

Use the Venn diagram to calculate probabilities

Shkiper50 [21]

From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

$\mathbb P(A\cap B)=\dfrac6{35}$

$\mathbb P(A)=\dfrac{15+6}{35}=\dfrac{21}{35}=\dfrac35$ (this is the answer)

$\mathbb P(B)=\dfrac{10+6}{35}=\dfrac{16}{35}$

By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\frac6{35}}{\frac{16}{35}}=\dfrac6{16}=\dfrac38$

$P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac6{35}}{\frac{21}{35}}=\dfrac6{21}=\dfrac27$

8 0

3 years ago

Read 2 more answers

A total of 1680 ounces of pet food have to be packed in 5 pound bags. How many 5 pound bags of pet food can be packed ?

mamaluj [8]

To begin with, we have to multiply 16 by 5, to determine how many ounces are in the bags. we get 80, no? we then divide 1680 by 80 to receive 21. your answer is 21.

5 0

3 years ago