Westford Lake was originally blue because it only had 810 algae plants. Then towns and farms cropped up by the lake. This caused 9,772 more algae plants to grow, which turned the lake green. How many algae plants are now in Westford Lake?

Answer:

89

Step-by-step explanation:

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Answer:

904.78 cubic inches

Step-by-step explanation:

Since a beach ball is a sphere, use the formula for volume, V = 4/3 * pi * r^3 to find the volume of the beach ball, using 6 for radius since diameter is two times the radius and the diameter is 12 inches. 4/3 * pi * 6^3 = 904.78, so that many cubic inches of air would be needed to inflate the beach ball.

Hopefully this helps- let me know if you have any questions!

Answer:

Step-by-step explanation:

∠DEH=∠IHE (alternate angles)

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.

Now that center line is the diameter, which means it is 180 degrees

So you can find the angle of line OA and OB:

180 - 41 = 139

Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.

This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

And then divide by two to find the remaining two angles:

41/2 = 20.5

and that is x :)

that is correct

Step-by-step explanation:

Hey there!

Answer: = 15.3296% decrease

How to Calculate Percentage Decrease

=> 539.22 - 456.56

=> 79.66

=> 79.66 ÷ 539.22

=> 0.153296

=> 0.153296 × 100

=> 15.3296%

If the percentage is negative, it means there was an increase and not an decrease.

Therefore, percentage decrease is 15.3%

The function (fg)(x) is a composite function

The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

The functions are given as:

f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.

To calculate (fg)(x), we make use of

(fg)(x) = f(x) * g(x)

So, we  have:

(fg)(x) = (2x^2 - 3x - 4) * (x + 5)

Expand

(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20

Collect like terms

(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20

Evaluate

(fg)(x) = 2x^3 + 7x^2 - 19x - 20

Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

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Answer:

3D shape = cone

height = 3 units

diameter = 6 units

Step-by-step explanation:

3D shape = cone

height = 5 - 2 = 3 units

radius = 0 - (-3) = 3 units

diameter = 2 × radius = 2 × 3 = 6 units

Answer:

1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or each of those is a counting number that can be multiplied by another counting number to make 12).

Step-by-step explanation:

hope this helps.

Answer:

y=4x+2

Step-by-step explanation:

Hi there!

We are given that a line has a y intercept of 2, and a slope of 4

We want to write the equation of that line in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.

First, substitute 2 as the y intercept (b)

y=mx+2

Now substitute 4 as the slope (m)

y=4x+2

We have found the equation of the line.

Hope this helps!

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Answer:

4 years

Explanation:

[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]

[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]

[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]

[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]

[tex]\hookrightarrow \sf t = 4[/tex]

Answer:

The time will be 4 years .

Step-by-step explanation:

Given :

Simple Interest = $600

Principle = $5,000

Rate = 3%

Time = ?

Formula for Simple Interest = P×R×T / 100

=> 5,000 × 3 × T / 100 = 600

=> T = 60,000 / 5,000×3

=> T = 60,000/15000

=> T = 4 years

The difference between the fraction of the budget for maintenance this year and last year is  5/24.

The first step is to determine the fraction of the budget used for maintenance last year.

Fraction of the budget used for maintenance = 1 - (1/3 + 1/3 + 1/4)

1 - 11/12 = 1/12

The second  is to determine the fraction of the budget used for maintenance this year.

Fraction of the budget used for maintenance = 1 - (1/8 + 1/3 + 1/4)

1 - 17/24  = 7/24

The difference =  7/24 - 1/12

= 5/24

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

Answer: 32.

Step-by-step explanation: Assuming that the first 4 numbers count, the sequence goes as follows:

-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, and 32.

Let me know if this is right! :)

Answer:

Angle B=40 degrees

Angle C= 90 degrees

Angle E=50 degrees

Please Mark Brainliest

these answer- I am sure they ar correct

Answer:

To figure out the change, we subtract the original temperature by the following after temperature.

18°F - original

-9°F - subsequent time after original

So we set up the equation;

18°F - (-9°F)

(Two negatives combine to form a positive)

18°F + 9°F

= 27°F was the change in temperature.

The change in temperature from 2:00 PM to 10:00 PM is -27° F.

Temperature is a physical quantity that measures the coldness or hotness of an object in reference to some standard value.

Change in temperature can be defined by the difference of the final temperature with that of the initial temperature.

Temperature is usually measured in degree Celsius or degree Fahreheit.

Temperature at 2:00 PM = 18° F

Temperature at 10:00 PM = -9° F

Change in temperature = Final temperature - Initial temperature

                                       =  -9° F - 18° F

                                       = -27° F

Hence, the change in temperature can be calculated as -27° F.

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Answer:

Step-by-step explanation:

A. x + 5=12

7x = 21

B. b - 2/3 = 5/6

1/5m = 20

C. 45 = 3(x + 1)

D. 22.5 = 1.5x

E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.

Answer:

  (c)  f(x) = 500(5^x)

Step-by-step explanation:

An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.

__

You are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.

  f(x) = 100(5)^x   ⇒   f(0) = 100·1 = 100 ≠ 500

  f(x) = 100(x^5) . . . not an exponential function

  f(x) = 500(5)^x   ⇒   f(0) = 500·1 = 500 . . . . . the function you're seeking

  f(x) = 500(x^2) . . . not an exponential function

Answer:

a

Step-by-step explanation:

The area of the scale drawing given the scale of the square is 64cm^2.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Dimensions of the scale drawing =  original dimensions / scale of the drawing

16 cm / 2 = 8cm

Area = 8 x 8 = 64cm^2

A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

.

Answer:

Step-by-step explanation:

The given circle has equation

[tex] \sf \: x^2+y^2=16x[/tex]

The equation of a circle with center (h,k) and radius r units is

[tex] \sf(x-h)^2+(y-k)^2=r^2(x−h) [/tex]

[tex] \sf(x-7)^2+(y-5)^2=4^2(x−7)[/tex]

[tex] \sf(x-7)^2+(y-5)^2=16(x−7) [/tex]

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

Answer:

I don't know if these are right

2.756

3. 1,426.42

Answer:

the answer is answer nice answer my answer

Step-by-step explanation:

if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer

Answer:

El area del trapecio mresponde a la relación

                      A = 1/2(B + b)*h

                          B = base mayor

                           b = bas menor

                           h = altura

En el caso en esrudio

                                              250 = 1/2(B + 20)*10

                                     2*250/10 = B + 20

                                                50 = B + 20

                                        50 - 20 = B

                                                  B = 30

                                                                BASE MAYOR = 30 PIES

Step-by-step explanation:

f(x) = x√(x+8)

When f(x) = 0,

0 = x√(x+8)

x = 0, x + 8 = 0

x = -8

f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0

0 = √(x+8) + 1/[2√(x+8)] (x)

-2(x+8) = x

-2x - 16 = x

x = -16/3

(-8 < -16/3 < 0)

Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.

Answer:

It's 77, the absolute value bars will just make the number positive

Step-by-step explanation:

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]