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3 years ago

Write a function defined by y = ƒ(x), subject to the condition that the value of ƒ(x) is 16 times the square root of x.

Mathematics

1 answer:

Bess [88]3 years ago

7 0

16 times the square root of x:

16 * √x so f(x) = 16√x

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Exponent Laws - difference between product law and product raised to a power (with formula please)

enyata [817]

Answer:

Exponent laws:

1. Product law

$x^{a}\times x^{b}\times x^{c}=x^{a+b+c}$

In product law if bases are same then we add their respective powers.But if bases are different we can't add their powers.

x=base, a,b,c=exponent

If x=2 and a=3, b=5 , and c=10, then

$2^{3}\times2^{5}\times2^{10}=2^{3+5+10}=2^{18}$

2.Product raised to a power

1. $[x^{a}]^{c}=x^{ac}$

2. $[x^{a}\times x^{b}]^{c}=[x^{a+b}]^{c}=x^{ac+bc}$

If product is raised to a certain power , keeping the base same , we just multiply the powers.for example

$[2^{3}]^{4}=2^{3\times4}=2^{12}$ and

$[2^{3}\times3^{2}]^{2}=[2^{3}]^2 \times[3^{2}]^{2}=2^{6}\times3^{4}$

$[2^{3}\times2^{2}]^{2}=[2^{3+2}]^{2}=[2^{5}]^{2}=2^{10}$

7 0

3 years ago

Need help please stressing out over this problem!?!?!

ludmilkaskok [199]

$v = \frac{4}{3} \times \pi \times {r}^{3}$

Finding the radius,

$d = 2r, \: r = \frac{d}{2} = \frac{8}{2} = 4inches$

Plugging in our values,

$v = \frac{4}{3} \times 3.14 \times {4}^{3} = \frac{4}{3} \times 3.14 \times 64 = 267.95 {inches}^{3} \\$

Rounding to the nearest whol number,

$v = 268 {inches}^{3}$

6 0

3 years ago

Elizabeth picked ⅔ off a row of strawberries from her garden. How many rows will Elizabeth have picked if she does this for 4 da

LenaWriter [7]

2 2/3 rows

4x2=8 (8/3)
8/3= 2 2/3

5 0

3 years ago

3/11 divided by 3/11

vladimir2022 [97]

Answer: 1

Step-by-step explanation:

When dividing fractions, we follow a rule called keep, change, flip:

3/11 * 11/3

33/33

5 0

3 years ago

Read 2 more answers

Please find the area of the shaded region.

rodikova [14]

here is the solution to the question

3 0

3 years ago