What is the value of the function y= 3x - 1 when x=-1?
-
-8
-4
O 2
06
Need help now

The rate of change of the radius is 1.32cm²/s

The formula for calculating the volume of a sphere is expressed as:

The rate of change of the volume is given as:

Given the following paramters;

dv/dt = 23cm³/s

Volume = 7cm³

Get the radius of the sphere:

7 = 4/3 πr³\

21 = 4πr³

r³ = 21/4π

r = 1.18 cm

Get the rate of change of the radius to have:

[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]

Hence the rate of change of the radius is 1.32cm²/s

Learn more on volume of a sphere here: https://brainly.com/question/22807400

Answer:

A(1) = 5

A(4) = 5.5

A(10) = 6.5

Step-by-step explanation:

An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;

Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;

So:

A(1) = 5 + ⅙((1) - 1) = 5

A(4) = 5 + ⅙((4) - 1) = 5.5

A(10) = 5 + ⅙((10) - 1) = 6.5

Answer: x<3 or x>4

Step-by-step explanation: 2|x-7/2|+3+-3>4+-3         2|x-7/2|/2>1/2                                                                x+|−7/2|+7/2>1/2+7/2                                                 x>4                                                                             or                                                                              x+|−7/2|+7/2<−1/2+7/2                                                 x<3

Answer:

C

Step-by-step explanation:

∠ ABC = 90° ( angle in a semicircle )

Using the cosine ratio in right triangle ABC and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )

AC = [tex]\frac{20}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising denominator )

AC = [tex]\frac{20\sqrt{3} }{3}[/tex]

radius AO = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × [tex]\frac{20\sqrt{3} }{3}[/tex] = [tex]\frac{10\sqrt{3} }{3}[/tex] → C

1 = Given

2 = Addition Property of Equality

3 = Division Property of Equality

Answer:

x = -3

Step-by-step explanation:

The equation is : -1.3x=3.9

We can divide both sides by -1.3

-1.3x/-1.3=-3.9/-1.3

We get

x=-3

Answer:

x =-3

Step-by-step explanation:

divide -1.3 to both sides

Answer:

y=7x-65

Step-by-step explanation:

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

Answer:

  Y = 62°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  W + X + Y = 180°

  (4n -9°) + (7n -16°) +(6n -16°) = 180°

  17n -41° = 180° . . . . . . . . . . simplify

  17n = 221° . . . . . . . . . . add 41°

  n = 13° . . . . . . . . . . divide by 17

Then the measure of Y is ...

  Y = 6n -16° = 6(13°) -16° = 78° -16°

  Y = 62°

_____

The other angles are W = 43°, X = 75°.

Angles of a triangle adds to 180° .

=> W + X + Y = 180°

=> (4n-9°) + (7n-16°) + (6n-16°) = 180°

=> 17n-41° = 180°

=> 17n = 180° + 41°

=> 17n = 221°

=> n = 221/17

=> n = 13°

=> 6n-16° = 6(13°) -16° = 62°

Y = 62°

Answer:

Gordon types 68 words per minute

Step-by-step explanation:

2584/38=68

Answer:

y=1/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(2-0)

m=1/2

y-y1=m(x-x1)

y-3=1/2(x-0)

y=1/2(x)+3

y=1/2x+3

Step-by-step explanation:

49.43 is your answer bro brainlist plz

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( − 3 , − 8 )

Equation Form:

x =- 3 , y = − 8

Step-by-step explanation:

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

Answer:

f(- 5) = 184

Step-by-step explanation:

Substitute y = - 5 into f(y) , that is

f(- 5) = 9(- 5)² + 7(- 5) - 6

        = 9(25) - 35 - 6

       = 225 - 41

      = 184

Answer:

26.16

Step-by-step explanation:

Answer:

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

Step-by-step explanation:

5x² - 3y = 4y + 8 ( add 3y to both sides )

5x² = 7y + 8 ( divide both sides by 5 )

x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

Answer:

3. Parallel lines have the same slope but different y-intercepts, so they never intercept each other.

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

Noon is 12:00

Supposing that each number is one hour

15 minutes = 1/4 hrs

And therefore 12:15 PM is represented as 1/4

Answer:

c.-2.5 ,because[2.5]=2.5

Step-by-step explanation:

I hop this is fine

Answer:

B part

Step-by-step explanation:

2.5 because |2.5| = 2.5 and it's never negative.

Hope it helps :)

Answer:

-9 degrees

Step-by-step explanation:

3-12=-9

Answer:

-9 degrees

Step-by-step explanation:

Just think it through. If it's currently 3 degrees out side and then the temperature drops another 12 degrees, what will the temperature be.

If you're still having trouble visualizing it, picture it on a number line. It becomes:

3-12 = ?

3-12 = -9

Part 1:-

______________________

The total cost to rent the boat will be

3.5 hours x $ 12 per hour + $ 5 =$47

if she spilt cost with a friend ,they will each pay$47 ÷ 2= $ 23.5

Answer:

300

Step-by-step explanation:

Let the value that we are trying to find be x.

If 60 is 20% of x, then we have the following equation:

1/5x = 60.

Then, we can multiply by 5 to get:

x = 300

Answer:

20 percent of 60 minutes is 1/3

Step-by-step explanation:

I'm not sure if that is what you're asking, but if it is I hope it helps!

Answer: 7678687nx09

dad

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

8x-2x