What is the image of the point (4,1) after a rotation of 270° counterclockwise about
the origin?
Will give brainliest

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

Same side interior angles are supplementary

The question is incomplete. The complete question is :

The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)

Solution :

Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]

Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]

V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]

∴ r = 1

[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]

[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]

[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex]   cm/s

Surface area, [tex]$A = 4 \pi r^2$[/tex]

    [tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]

[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]

    [tex]$=14 \ cm^2/s $[/tex]

Answer:

A: 30

B: y=30x+14

Step-by-step explanation:

A

The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).

Let's use the points (0,14) and (2.2,80):

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

= (80-14)/(2.2-0)

= 66/2.2

= 30

B

The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:

y=mx+c

14=(30)(0)+c

14=0+c

c=14

Therefore our equation is y=30x+14

Answer:

0.74 cents each unit piece

Step-by-step explanation:

2.22 ÷ 3 = 0.74

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2

Answer:

C. pint

Step-by-step explanation:

Answer: 166 2/3m

Step-by-step explanation:

Area of a rectangle = length times width

Length: 16 2/3

To find the width, multiply it by 3/5.

w = 16 2/3 ·  3/5

w = 10

Then, multiply the length by the width.

a = l · w

a = 16 2/3 · 10

a = 166 2/3m

Answer:

36pie inch²

Step-by-step explanation:

Answer attached

Hope it helps :)

Answer:

The rocket will hit the ground after 113.28 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of a rocket, after t seconds, is given by:

[tex]h(x) = -16x^2 + 1812x + 59[/tex]

Using this equation, find the time that the rocket will hit the ground.

This is x for which [tex]h(x) = 0[/tex]. So

[tex]-16x^2 + 1812x + 59 = 0[/tex]

Then [tex]a = -16, b = 1812, c = 59[/tex]

[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]

[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]

[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]

The rocket will hit the ground after 113.28 seconds.

Answer: y = x^2 - 3

y-intercept = -3

Answer:

$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.

Step-by-step explanation:

Ok bro.

Depending on what kind of buisness he has here are the answers:

If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =

$22,086.75

If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =

$15776.25

Answer:

154.521

Step-by-step explanation:

Have a good day!

Answer:

154.521

Step-by-step explanation:

Answer:18 days

Step-by-step explanation:

Answer:

18 days to consume the apple

Step-by-step explanation: 18 because it takes 3 days for a half so six days equals 1 whole apple multiply that by 3 an you'll get 18

Answer:

44

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

I just took the test

Answer:

you are supposed to guess how many inches the objects are after. that you need you to ACTUALLY measure them and round to the nearest inch. half of an inch and a forth of an inch

Step-by-step explanation:

here is an example so if it measures 2.25 inches it would be

nearest inch:2 inches

nearest 1/2 inch: 2 inches

nearest 1/4 inch: 2. 25 inches

Answer: x=0,\root(3)(3)

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Brainliest or a thank you please? :))

9514 1404 393

Answer:

  associative property of multiplication

Step-by-step explanation:

We assume your equation is ...

  9(3x) = (9·3)x

The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.

_____

Additional comment

It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).

9514 1404 393

Answer:

  g = 12

Step-by-step explanation:

You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:

  (g -12)² = 0

The only solution is the one that makes the squared term equal to zero:

  g -12 = 0

  g = 12

_____

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

Here, we have a=x, b=-12.

Answer:

???

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Negative four to the second power is equal to -4 x -4 which is -16

Answer:

C

Step-by-step explanation:

For a relationship to be proportional, x/y needs to be the same for all rows.

5/8 is not 12/15

5/3 is not 15/11

3/8 is not 5/12.

The table C checks out with a ratio of 3:5

Answer:

Solution given:

x+148=180°[linear pair]

x=180°-148=32°

x=32° is your answer

Step-by-step explanation:

solution :

Given,

X+48 °= 180° [ being linear pair ]

X=180°-48°

X=32°

so,

X=32° answer.

hope it is helpful to you ☺️

Answer:

37

Step-by-step explanation:

Answer:

(a) Always true

Step-by-step explanation:

In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions

So this is always true as in this it can be unique test or infinite.

So according to the given situation, the option a is correct

Answer:

(2,-4)

hope this helps

Step-by-step explanation:

Answer:

slope: 4/3

y-intercept: -3

Step-by-step explanation:

the number before x is the slope.

the number at the end of the equation is the y-intercept.

Answer:

retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.

Step-by-step explanation: