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3 years ago

4. What is the formula to find the volume of a sphere?

Mathematics

1 answer:

adell [148]3 years ago

5 0

Answer:

The formula of the volume of the sphere is V = (4/3)×π×r³ where r is the radius of the sphere.

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Solve for m 2/3=m/42

almond37 [142]

$\frac{2}{3}=\frac{m}{42}\ \ \ \ | multiply\ by\ 42\\\\ \frac{2*42}{3}=m\\\\
28=m\\\\Solution\ is\ m=28.$

4 0

3 years ago

The mpg (miles per gallon for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8. w

lesantik [10]

For this Q:

mean=31
st.dev.=0.8
x=32

Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25

This z-score value corresponding to the probability of 0.8944

6 0

3 years ago

I NEED URGENT ASSISTANCE

Nata [24]

Answer:

8 C sometimes

9 64x^8 y^11

10 c 1.28r^2/ t^9

Step-by-step explanation:

Algebraic Operations

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

$\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}$

$\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}$

$\displaystyle x^{-n}=\frac{1}{x^n}$

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

$\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

This is a negative power resulting in a positive number

Now we pick

$\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}$

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

Answer: C sometimes

9 simplify(4xy^2)^3(xy)^5

$(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5$

$=64x^3y^6x^5y^5$

$=64x^8y^{11}$

10 simplify(2t^-3)^3(0.4r)^2

$(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2$

$=8t^{-9} 0.16 r^2$

$=1.28t^{-9} r^2$

$\displaystyle \frac{1.28 r^2}{t^9}$

7 0

3 years ago

David loves to cook! He knew 21 recipes before starting cooking school and he learns 2 recipes

pishuonlain [190]

Answer:

Sarah is incorrect.

Step-by-step explanation:

By plugging 10 in as 'x' to the equation, we get y=21+(2*10). 2 x 10 is 20, and 20 + 21 is not 42 - it's 41. So, Sarah is incorrect.

7 0

3 years ago

Read 2 more answers

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Luda [366]

Answer:

It is 300.88.

Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.

5 0

2 years ago