The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression

Answers

Answer 1

Answer:

for the volume of the sphere its answer is 4πr³/3 which when converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer 2

Answer:

4πr³/3

Step-by-step explanation:

When converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r


Related Questions

If one line has a slope of -5/4 what would the slope of a line
parallel to that line?

Answers

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Parallel lines always have equal slopes. Therefore any parallel line to a given line will share the same slope.

Answer:

-5/4

Step-by-step explanation:

Parallel lines have the same slope but a different y intercepts, because if you think about parellel lines, they'll never intersect-- if two lines have the same slope, that means they won't be able to intersect. However, if they have the same slope, they would be coinciding (the same). That's why the y intercepts are different.

Since the slope of the first line is -5/4, the slope for the line parallel to it would also be -5/4

hope this helps!

Solve ASAP. Giving 28 points.

Answers

Answer:

where is the question

Step-by-step explanation:

Answer:

what's the question I can't see it

HELP PLEASE ASAP!!!!!

Answers

Answer:

1 1/2 cups of flour :))

Step-by-step explanation:

Answer:

2 5/8 cups ur welcome

you convert  1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.

math Finding the root (30points!!!!!)

Answers

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]

Jane drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 9 hours?

Answers

Answer:

648 miles

Step-by-step explanation:

864/12=72

72 x 9= 648

plz mark brainliest :)

have a great day!!!

Answer:648

Step-by-step explanation:

9. Ricardo rides his bike between 90 and 120 miles over a 5 day period. Which is a
reasonable number of miles Ricardo rides each day?
a 13
b. 17
C. 22
d. 25

Answers

A reasonable number of miles Ricardo rides each day is C.22

Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?

Answers

One solution because n=-5
There’s only one solution for this problem
3n-12=5n-2
+2. +2
3n-10=5n
-3n. -3n
-10=2n
2. 2
-5 = n

jameson runs m miles and burns c number of calories is this independent or dependent

Answers

Answer:

the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent

What is the x and y value in -3x + y = 4 and -9x + 5y =-1

Answers

Answer:

y=291

Step-by-step explanation:

I did the math got 291.

Answer:

-9x + 5y =-1

x-intercept:   ( 1 9 , 0 )

y-intercept:  ( 0 , − 1 5 )

-3x + y = 4

x-intercept:  ( − 4 3 , 0 )

y-intercept:  ( 0 , 4 )

aight anyone plz help lol

Answers

Answer:

okkokokokokokoookkijoiig

It's 8/5 because 1.5+3 = 5+3

A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) =800/1+ 3e^-0.29t.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.

Answers

Answer:

The initial population is 200

The population after 10 years is 687

Step-by-step explanation:

Given

[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]

Solving (a): The initial population

Here:

[tex]t = 0[/tex]

Substitute 0 for t in P(t)

[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3*1}[/tex]

[tex]P(0) =\frac{800}{1+ 3}[/tex]

[tex]P(0) =\frac{800}{4}[/tex]

[tex]P(0) =200[/tex]

The initial population is 200

Solving (b): Population after 10 years.

Here

[tex]t = 10[/tex]

Substitute 10 for t in P(t)

[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]

[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]

[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]

[tex]P(10) =\frac{800}{1+ 0.165}[/tex]

[tex]P(10) =\frac{800}{1.165}[/tex]

[tex]P(10) =687[/tex] -- approximated.

The population after 10 years is 687

FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!

Answers

Answer:

We know that the figure has a symmetry

angle 1 = angle 2

angle 1 =180°-(18°+90°) = 180° - 108°=72°

Therefore, angle 2 =72°.

HELP! Whoever gets it right gets brainliest!!

Answers

It’s 17 units because it goes right 7 times and goes up 10 times.

Walmart has soft drinks on sale: 4 packs for $20 Kroger has soft drinks on sale : 3 packs for $18 Which store has the better deal? why?

Answers

Answer:

Walmart has the better deal.

Step-by-step explanation:

If you divide the amount of money and the packs they sell, Walmart is cheaper.

Walmart: 20/4 = 5

Kroger: 18/3 = 6

Answer:

It is Walmart 4 packs for 20$

Step-by-step explanation:

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Answers

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)(6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

Which expression simplifies to 8x^5?

Answers

Answer:

32768x^5

Step-by-step explanation:

[tex] {8x}^{5} [/tex]

...

witch equation represents a linear function

Answers

Y=3x2+1
Hope this helped :)

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)

5√3x^2+4

Answers

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

Help please. How to calculate it? That is the answer of last one ?

Answers

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

given each pair of similar triangles find the missing value. of LJK=PQR find x

Answers

Answer:

1

Step-by-step explanation:

benjamin believes that 1/2% is equivalent to 50%. Is he correct? Why or why not?​

Answers

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

Melissa runs a mile in 8 minutes 30 seconds. At this rate, how many full miles will she run in 45
minutes?

Answers

Answer:

Time measure: 8 miles = 30 seconds We are given 45 minutes × 60 seconds /30= 90 miles

Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.

C(x) = ______________

If Warren has budgeted 434 dollars for the rental, how many days can he afford?

Answers

Answer:

The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.

Step-by-step explanation:

C(x) =60x + 14

434 = 60x + 14

-14                -14

420 = 60x

/60      /60

7 = x

or

x = 7 days

X=7days hope this helps

Find three consecutive odd integers such that the sum of the smallest and twice the second is 14 more than the third.

Show your work

Answers

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

Urgent!!!! Solve 3∣∣x+2∣∣<12.

Graph the solutions on the number line.

Answers

Step-by-step explanation:

First, you have to solve the inequality of x :

| x + 2 | < 12

x + 2 < 12

x < 10

AND

- x - 2 < 12

- x < 14

x > - 14

Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.

can someone answer this for me please?​

Answers

Answer:

[tex]\sqrt{34[/tex]

Step-by-step explanation:

distance formula:

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

Help ASAP due in 1 min

Answers

Answer:

C.) 2/3

Step-by-step explanation:

The line is divided into three sections, and we know the three sections combined equate to 1.

That means that each section is 1/3. The dot is placed on the second section.

That's how you know the fraction represented on the number line is 2/3.

Answer:

1/3 i think

Step-by-step explanation:

2 divided by negative 1/5

Answers

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

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