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MA_775_DIABLO [31]
3 years ago
14

The volume of the sphere is

Mathematics
1 answer:
Volgvan3 years ago
6 0

complete question:

The volume of the sphere is 500/3 π cubic units. What is the value of x?  

x = radius

Answer:

x = 5 units

Step-by-step explanation:

The volume for a sphere can be represented as follows

volume = 4/3πr³

volume = 500/3 π

x = radius

volume = 4/3πx³

500/3 π = 4/3 × π × x³

multiply both sides by 3/4

500/3 × π × 3/4 = π × x³

125π = πx³

divide both sides by π

x³ = 125π/π

x³ = 125

cube root both sides

x³ = ∛125

x = 5 units

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Can you explain how to work 7x+3x+5
Vsevolod [243]

Answer:

the answer is 21x+5

Step-by-step explanation:

because there are 2 x and if you multiply 7x and 3x it will be 21 than you put the x, so 21x And then add the +5 so it Will be 21x+5

5 0
3 years ago
If x equals 12 and y equals 9 find the value of 2 x - 2y
Genrish500 [490]

2 ( 12) - 2 (9)

24 - 18

6 answer


4 0
3 years ago
Write an equation for the parent function y = x^ 2 stretched by a factor of 6 and shifted down 4 units?
Sunny_sXe [5.5K]

Answer:

 

Translations

y = f (x) + k up k units

y = f (x) - k down k units

y = f (x + h) left h units

y = f (x - h) right h units

Stretches/Shrinks

y = m·f (x) stretch vertically by a factor of m

y = ·f (x) shrink vertically by a factor of m (stretch by  

y = f (x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by )

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

Hope this helps

Step-by-step explanation:

5 0
2 years ago
Student Produced Response - Calculator
faltersainse [42]

Answer:

\dfrac{a}{b}=0.75.

Step-by-step explanation:

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has infinitely many solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

ax+by=10

3x+4y=20

It is given that the above system of equations has infinitely many solutions. So,

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}

Now,

\dfrac{a}{3}=\dfrac{1}{2} and \dfrac{b}{4}=\dfrac{1}{2}

a=\dfrac{3}{2} and b=\dfrac{4}{2}

a=1.5 and b=2

So, a=1.5 and b=2.

Now,

\dfrac{a}{b}=\dfrac{1.5}{2}=0.75

Therefore, \dfrac{a}{b}=0.75.

5 0
3 years ago
Find the product (4x-3) (3x+8)
m_a_m_a [10]

Hi there!

Assuming "Find the product" means multiplying (4x-3) by (3x+8) and factor to it's simplest form the answer would be:

12x²+23x-24

The way you solve this is by using the distributive property of multiplication as shown below:

Start by multiplying -3 from (4x-3) by everything in (3x+8)

3x*(-3) = -9x

8*(-3) = -24

Once you've done that you then multiply everything 4x

4x*8 = 32x

4x*3x = 12x²

(Note: when multiplying two of the same variables like x it means you are multiplying x by itself which is the same as x²)

When you put all of this together it looks like this

12x²+32x-9x-24

from there we combine like terms

32x-9x = 23x

to get

12x²+23x-24

I hope this helps!

God bless,

ASIAX

4 0
2 years ago
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