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makvit [3.9K]
3 years ago
11

What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer:

Expert Verified

Step-by-step explanation:

the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³

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Help thank you!!!!!!!
Vesnalui [34]

v = \sqrt{4900} + \sqrt{8100} = 70 + 90 = 160

Answer: D. 160

5 0
3 years ago
Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that
Inessa05 [86]
It would possibly be a but also b you’re welcome
3 0
3 years ago
Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

4 0
3 years ago
An expression is shown.<br>2 3/4 x 2/3<br>What is the value of the expression?​
Novay_Z [31]

Answer:

The answer is 1 5/6

Step-by-step explanation:

5 0
3 years ago
When using the power rule, the original coefficient:__________a) Is multiplied by the original exponent.b) Only changes if the f
sleet_krkn [62]

Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²

f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x

f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120

7 0
3 years ago
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