f(x)=x^2-3x-12
g(x)=-x-12

(f o g) (-8)

The equation you used is correct, but the differential equation does not include the growth rate. The growth rate is proportional to the current population, so the differential equation should look like this:  dp/dt = kP - 20,000t

dp/dt = kP - 20,000t  , Where k is the growth rate. To solve this equation, we can use the separation of variables: dp/P = kdt - 20,000tdt

Integrating both sides, we get:

ln|P| = kt - 20,000t^2/2 + C, Where C is the integration constant. To find C, we can use the initial population of 200,000:

ln|200,000| = -0.099t - 20,000t^2/2 + C

=>C = ln|200,000| + 0.099t + 20,000t^2/2  .Therefore, the population of mosquitoes at any given time t is:

P = 200,000e^(-0.099t - 20,000t^2/2 + ln|200,000| + 0.099t + 20,000t^2/2)  = 200,000e^(ln|200,000|)  = 200,000

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Factor:

Factor a and b out of the expression:

Answer:

ab(7a - 3b)

Answer:

  about 1.1%

Step-by-step explanation:

Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.

The ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:

  moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%

The volume of the moon is about 1.1% of the volume of the planet.

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Answer:

with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.

Step-by-step explanation:

The criteria that you can use to show these two triangles are congruent is A. AAS

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. It stands for "Angle, Angle, Side." Knowing two angles and one side is known as "AAS" (which is not between the angles). to make an AAS triangle work.

To find the other angle, add the three angles to 180°. then utilize the Law of Sines to determine each of the additional two sides. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

In conclusion, the correct option is A.

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The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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Answer:

g(x) =f(x+4) +8

Step-by-step explanation:

rewrite the g in terms of f

Answer:

A

Step-by-step explanation:

125% of 25 is the same as 5/4 of 25.

Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20

Answer:

it's a

Step-by-step explanation:

trust

Answer:

Step-by-step explanation:

Refer to attachment for full question

Cost of the tea:

Sale price is 1.8 times the cost:

Correct option is B

Answer:

61

Step-by-step explanation:

1. let the unknown be x

2. using theorem of Pythagoras that states the hypotenuse will be equal to the sum of the other two sides we can determine that 75=14+X

3. this implies that X=75-14

4. therefore X= 61

Answer:

21 inches

Step-by-step explanation:

If the boy is 25% smaller, that means his current height is 75% of his previous height. 75% of 28 is 0.75 * 28 which is 21.

Hope this helps :)

Answer:

35 inches tall. (This is assuming they want him to be 25% taller. Using the past tense of 28, I assume this is growth.)

Step-by-step explanation:

25% is 25/100 therefore we get 1/4 which gives us 28/4 = 7.

So this makes the boy 7 inches taller than 28.

28 + 7 = 35

Making him 35 inches tall.

Answer:

Marsha has driven 252 miles

Step-by-step explanation:

In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.

Hope this helps!     :)

Answer: The selection choice A. 30

Step-by-step explanation:

Do the PEMDAS method.

Parenthesis: 100 - 14 / 2 x (10)

Exponents: N/A 100 - 14 / 2 x (10)

Multiplication & Division: 100 - 70

(Left to Right)

Addition & Subtraction: (3)

(Left to Right)

Hope this helps! Please mark me brainliest!

Answer:

I would draw lines through the shapes to create smaller, rectangualer shapes that you only need the lenght and width to find. Then below you would write L=_ and W=_ for which ever three you choose.

Step-by-step explanation:

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

SOLUTION

From the question, we have

we want to find the value of

We have

b cancels b,

we have our answer as

Answer:

subtract 75 out of 636.75 then once you get that answer divided it by 100 to get the percentage

Answer:

Step-by-step explanation:

Start by dividing top and bottom by 4

16 / 4 = 4

40/4 = 10

The result so far is 4/10

But 4/10 is not the answer. You can divide 4 and 10 by 2

4/2 = 2

10/2 = 5

Answer: 2/5

Answer:

y = - 0.833 + 29.5

y = 17

Step-by-step explanation:

Drawing a best fit line through the data points:

The approximate regression model would have an intercept of about 29.5

The slope = Rise / Run = (y2 - y1) / (x2 - x1)

The slope = (5 - 25) / (27 - 3) = 20 / 24 = -0.8333

The regression equation is thus :

y = mx + c

m = slope ; c = intercept

y = - 0.833 + 29.5

B)

x = 15

y = - 0.833(15) + 29.5

y = -12.5 + 29.5

y = 17

Approximately 17 hours watching TV

Answer:

6.113 i believe to be so

The decimal number is 6.0993 to 4 decimal places.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

A decimal number,

6.09933418366.

To round off to 4 decimal places,

6.0993.

Therefore, the value is 6.0993.

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Answer:

16

Step-by-step explanation:

Please see attached photo for diagrammatic explanation.

Note: r is the radius

Using pythagoras theory, we can obtain the value of 'x' in the attached photo as shown:

|EB|= x

|FB| = 10

|EF| = 6

|EB|² = |FB|² – |EF|²

x² = 10² – 6²

x² = 100 – 36

x² = 64

Take the square root of both side.

x = √64

x = 8

Now, we can obtain line AB as follow:

|AB|= x + x

|AB|= 8 + 8

|AB|= 16

Therefore, line AB is 16

Answer:

d. y = 4x + 3

Step-by-step explanation:

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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All the three locations has been checked below.

Using Pythagoras theorem,

12² = 8² + x²

144 - 64 = x²

x= √80

x=8.9

Now, using Trigonometry

tan F = P/B

tan F= 8/8.9

and, sin F = P/H

      sin F= 8/12 = 2/3

and, cos F = B/H

        cos F= 12/8.9

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Answer:

5

Step-by-step explanation:

Answer:

The answer would be 5

Step-by-step explanation:

Answer:

add 4 and 2

because you always have to simplify numbers that are inside the parentheses.

Answer:

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.

This means that \(\mu = 20.5, \sigma = 3.5\)

a. Between $20.50 and $24.00 per hour

This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So

X = 24

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{24 - 20.5}{3.5}\)

\(Z = 1\)

\(Z = 1\) has a pvalue of 0.8413

X = 20.5

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{20.5 - 20.5}{3.5}\)

\(Z = 0\)

\(Z = 0\) has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Answer:

D 140 dollars

Step-by-step explanation:

20x7=140

Answer:

D. 140

Step-by-step explanation:

80 ÷ 4 = 20

20 x 7 = 140