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   volume of a sphere = ⁴/₃ πr³

⇒      972π in³  = ⁴/₃ πr³

            729 in³ = r³

                   r    = 9 in

Answer:

9 inches

Step-by-step explanation:

Answer:

[tex]Q.1)\:x=20[/tex]

[tex]Q.2)c=-4.7[/tex]

Step-by-step explanation:

[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]

Use the distributive property to multiply 7 by x+5 :

[tex]x+35=55[/tex]

Subtract 35 from both sides:

[tex]x+35-35=55-35[/tex]

[tex]x=20[/tex]

___________________________

[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]

[tex]-1.5+6.8=5.3[/tex]

[tex]c+5.3=0.6[/tex]

Subtract 5.3 from both sides:

[tex]c+5.3-5.3=0.6-5.3[/tex]

[tex]c=-4.7[/tex]

____________________________

Answer:

When it’s time for annual performance reviews, if you plan on including pay raises, you need to know the simple math behind calculating pay increases correctly. Raises can be based on any number of things including a worker’s piers, standard industry rates, length of time on the job, the amount of work to do, and even whether or not the boss likes the employee or not. There are few, if any, laws that govern how and when increases are granted, so it’s up to you to determine what you’re willing to give.

Answer:

Step-by-step explanation:

Assume the person works 40 hours a week and 52 weeks a year.

The hourly pay would be:

The yearly income the second year:

Answer:

subtract 3 from the product of 9 and m

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

Answer:

0.125

Step-by-step explanation:

(4)(-2)-3(-3)/3+5=

1/8=

0.125

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's evaluate :

In the given expression, let's plug the value of

so,

Answer:

8x Should be the answer to the question

Answer:

(3x + 4)/(2 - 6x) = -2/5

=>5(3x + 4) = -2(2 - 6x)

=> 15x + 20 = -4 + 12x

=> 15x -12x = -4 -20

=> 3x = -24

x = -24/3 = -8

Answer:

12

Step-by-step explanation:

Answer:

$230

Step-by-step explanation:

Answer:

r  =  s /2  -  3 x /2

or

x  =  s /3  −  2 r/ 3

Step-by-step explanation:

Answer:

2r+3x=5

2r+3x+-3=5+-3x

2r=5-3x

2r/2=5-3x

2r/2=5-3x/2

r=1/2⁵ + -3/2x

r=1/2⁵ + -3/2x

hope it helps ya!

Answer:

Standard form: -3x ^2 + 6x

Vertex form: y = -3 (x - 1) ^2 +3

Step-by-step explanation:

Hope this helps ^v^

Answer:

$45

Step-by-step explanation:

300/100 = $3 = 1%

$3 x 5 = $15 = 5%

$15 x 3 years = $45

Answer:

64

Step-by-step explanation:

88-24=64 which is the right answer

Answer:

yes

Step-by-step explanation:

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0        or,      y-8=0

y=-5                      y=8

When y=-5,

x=3-y

3--5

3+5

8

When y=8,

x=3-y

3-8

-5

Answer:

3 3/47

Step-by-step explanation:

94/288 reduced and simplified

94( ÷2)

------

288( ÷2)

=

47/144

now convert this to a mixed number which is

3 3/47

Hope this helped you- have a good day bro cya)

12x - 2 = 12x

Step 1:

12x - 12x = 0

Step 2:

Bring down your -2 and your x

Answer:

x = -2

Answer no

Step-by-step explanation:

please mark brainlyest

Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]

A deposit of $2000 is invested in an account that earns 4.5% interest. The duration of time before the balance reaches $3000 is 9.2 years.

From the given information;

The time required until your balance reaches the amount of 3000 can be estimated by using the given formula;

[tex]\mathbf{A = P ( 1+ r)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ \dfrac{4.5}{100})^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1+ 0.045)^t}[/tex]

[tex]\mathbf{3000 = 2000 ( 1.045)^t}[/tex]

[tex]\mathbf{3 = 2( 1.045)^t}[/tex]

[tex]\mathbf{( 1.045)^t= \dfrac{3}{2}}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

[tex]\mathbf{( 1.045)^t= 1.5}[/tex]

t = 9.2 years

Therefore, we can conclude that the time duration (in years) until your balance reaches $3000 is 9.2.

Learn more about simple interest here:

https://brainly.com/question/22621039?referrer=searchResults

Answer:

Step-by-step explanation:

[tex] - 8p - 4p = - 12 \\ - 12p = - 12 \\ p = \frac{ - 12}{ - 12} \\ p = 1 \\ [/tex]

Answer:

X=3

Step-by-step explanation:

First you subtract 3x from both sides to keep x on one side.

5x minus 3x is 2x.

Then you subtract 1 from both sides to keep the variable alone.

7 minus 1 is 6.

Then you divided both sides by 2.

2x divided by 2 is x and 6 divided by 2 is three.

Then all you have left is x=3

I HOPE IT WILL HELP YOU.

Thank you.

Answer:

$560

Step-by-step explanation:

200+30x

x being each month