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2 years ago

The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

8 0

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

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Help me find the range of this function please

lara31 [8.8K]

Answer:

{-2, -14, -26, -50}

Step-by-step explanation:

The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:

- For x = -8

$f(x)=-2x-18$

$f(-8)=-2(-8)-18$

$f(-8)=16-18$

$f(-8)=-2$

The first value of the range of the function is -2

- For x = -2

$f(x)=-2x-18$

$f(-2)=-2(-2)-18$

$f(-2)=4-18$

$f(-2)=-14$

The second value of the range is -14

- For x = 4

$f(x)=-2x-18$

$f(4)=-2(4)-18$

$f(4)=-8-18$

$f(4)=-26$

Th third values of the range is -26

- For x = 16

$f(x)=-2x-18$

$f(16)=-2(16)-18$

$f(16)=-32-18$

$f(16)=-50$

The fourth and last value of the range is -50

Now we can put all the values of the range together

The range of the function is {-2, -14, -26, -50}

8 0

3 years ago

Georgina wants to practice the piano for a two least 45 minutes tonight. Which of the following inequalities represents the situ

Anika [276]

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3 years ago

How do you solve 3 1/4 - 1 5/6

rjkz [21]

Answer:

to solve $3\frac{1}{4} -1\frac{5}{6}$ you would first need to convert them from mixed numbers to improper fractions. You can do this by multiplying the denominator with the whole number and then adding the numerator. Then you should make sure that the denominators are the same. You can do this by first finding a number that they will both multiply into. In this example it is 12. And when changing the denominator you must apply it to the numerator. So if you multiplied the denominator by 3 then you must multiply the numerator by 3. After you can just minus the numerators. However remember to keep the denominator the same. Then you can change it back into a mixed number by dividing the numerator by the denominator and having that whole number on the side of the fraction . lets say it is $\frac{13}{6}$ then you would divide 13 by 6 which is 2 and a decimal and then minus the number that is multiplied by the numerator and it will give a number that is smaller than the denominator and then it would become $2\frac{1}{6}$ .