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3 years ago

Use the diagram shown to find the volume of the sphere. Use 3.14 for pi. Round your answer to the nearest hundredth.

Mathematics

1 answer:

Firlakuza [10]3 years ago

3 0

Answer:

V =9.42 in^3

Step-by-step explanation:

The diameter is 3 inches

The radius is d/2 = 3/2 inches

The volume is

V = 4/3 pi r^2

V = 4/3 ( 3.14) ( 3/2) ^2

V =9.42 in^3

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What is the equation of the following line?<br><br> (-3,9)<br><br> (0,0)

elena55 [62]

Answer:

$y=-3x$

Step-by-step explanation:

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2 years ago

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Which explicit formula is equivalent to a1= 1/3, an=an-1+1

Yuri [45]

The explicit rule will be an = 1/3 + (n - 1)

<h3>An explicit formula for a sequence</h3>

Given the following information

a1 = 1/3
an = an-1 + 1

a2 = a1 + 1

a2 = 4/3

For the third term

a3 = a2 + 1

a3 = 4/3 + 1

a3 = 7/3

The resulting seqence is 1/3, 4/3, 7/3

The sequence is an arithmetic sequence

a = 1/3

d = 1

The explicit rule will be an = 1/3 + (n - 1)

Learn more on explicit rule here: brainly.com/question/2059043

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3 years ago

Suppose an arrow is shot upward on the moon with a velocity of 44 m/s, then its height in meters after tt seconds is given by h(

andreev551 [17]

Answer:

a. 38.19m/s

b. 38.605m/s

c. 38.937m/s

d. 39.0117m/s

e. 39.01917m/s

Step-by-step explanation:

The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:

$v_a_v_g = \frac{\Delta x}{\Delta t} =\frac{x_f-x_i}{t_f-t_i}$

Where:

$x_f=Final\hspace{3}distance\hspace{3}traveled\\x_i=Initial\hspace{3}distance\hspace{3}traveled\\t_f=Final\hspace{3}time\hspace{3}interval\\t_i=Initial\hspace{3}time\hspace{3}interval$

a. Let's find h(3) and h(4) using the data provided by the problem:

$h(3)=44(3)-0.83(3^2)=124.53=x_i\\h(4)=44(4)-0.83(4^2)=162.72=x_f$

The average velocity over the interval [3, 4] is :

$v_a_v_g=\frac{162.72-124.53}{4-3} =38.19m/s$

b. Let's find h(3.5) using the data provided by the problem:

$h(3.5)=44(3.5)-0.83(3.5^2)=143.8325=x_f$

The average velocity over the interval [3, 3.5] is :

$v_a_v_g=\frac{143.8325-124.53}{3.5-3} =38.605m/s$

c. Let's find h(3.1) using the data provided by the problem:

$h(3.1)=44(3.1)-0.83(3.1^2)=128.4237=x_f$

The average velocity over the interval [3, 3.1] is :

$v_a_v_g=\frac{128.4237-124.53}{3.1-3} =38.937m/s$

d. Let's find h(3.01) using the data provided by the problem:

$h(3.1)=44(3.01)-0.83(3.01^2)=124.920117=x_f$

The average velocity over the interval [3, 3.01] is :

$v_a_v_g=\frac{124.920117-124.53}{3.01-3} =39.0117m/s$

e. Let's find h(3.001) using the data provided by the problem:

$h(3.001)=44(3.001)-0.83(3.001^2)=124.5690192=x_f$

$v_a_v_g=\frac{124.5690192-124.53}{3.001-3} =39.01917m/s$

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3 years ago

What does the constant term 378 represent

8_murik_8 [283]

Answer:

Answer: A

Step-by-step explanation:

It represent fox population in 2010.

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3 years ago

Which set of ordered pairs could be generated by an exponential function? A)(negative 1, negative one-half), (0, 0), (1, one-hal

Vadim26 [7]

Answer:

<h2>C) (negative 1, one-half), (0, 1), (1, 2), (2, 4)</h2>

Step-by-step explanation:

The set C could be generated by an exponential function. The main reason is that exponential functions hava a restricted range, it can't have negative numbers or the number zero, because power can only be equal or greater than 1.

Additionally, for all exponentials, a null exponent gives 1 as an answer, so point (0, 1) is always present in an exponential function.

Therefore, the right answer is C.

3 0

3 years ago

Read 2 more answers