Xavier bought a plant and planted it in a pot near a window in his house. Let H represent the height of the plant, in inches,t months since Xavier bought the plant. A graph of H is shown below. Write an equation for H then state the slope of the graph and determine its interpretation in the context of the problem.

I think the answer might be y=4

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Answer:

1, 1/2, 1 1/2

Step-by-step explanation:

Question 1

20 divided by 18 is 1.1

So the answer is closest to 1

Question 2

9 divided by 20 is 0.45

So the answer is closest to 1/2

Question 3

7 divided by 5 is 1.4

So the answer is closest to 1 1/2

Hope this helps!

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

Step-by-step explanation:

(A)  subtract larger arc and smaller arc, divide by 2 and that gives angle

<VYX =(1/2)(VW-VX)

<VYX = (1/2)(145-51)

<VYX =(1/2)(94

<VYX = 47

(b) The 2 arcs added then divided by 2 = angle in middle

<AEB=(1/2)(CD+AB)

69 = (1/2)(CD+87)

138=CD+87

CD=51

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

4.5*10^(4)*(6.8*10^(-8)=3.06*10^-3

(2.8*10^(2)*(6.5*10^(-7)=1.82*10^-4

((5.6*10^(-3))*(7.7*10^(-9)))/((8*10^(-2))*(3.5*10^(-6)))=1.54*10^-4

then the other fraction one equals 9.45*10^-4

Step-by-step explanation:

Solving the first expression, we have:

(4.5⋅10^4)⋅(6.6⋅10^−8)

=30.6⋅10^−4

=3.06⋅10^−3

So the first expression goes into the second box.

For the second one, we have:

(2.8⋅10^2)⋅(6.5⋅10^−7)

=18.2⋅10^−5

=1.82⋅10^−4

So the second expression goes into the first box.

Put the third expression into the fourth box and the fourth expression into the third box

Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

3 inches is 150 and 1/2 is 25

Step-by-step explanation:

When two people answer your question, there is a crown on both, then click the one you want to give it to.

(im pretty sure this is right, i kinda have a bad memory)

Answer:

When two people answer your question, there’s a brainliest (crown) symbol on the bottom of the answer. Click on it and give brainliest to one of the answer that you think is the best for you.

Step-by-step explanation:

This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:  7a^2+2a+7

Step-by-step explanation:Distribute the Negative Sign:

=9a2+7a+8+−1(2a2+5a+1)

=9a2+7a+8+−1(2a2)+−1(5a)+(−1)(1)

=9a2+7a+8+−2a2+−5a+−1

Combine Like Terms:

=9a2+7a+8+−2a2+−5a+−1

=(9a2+−2a2)+(7a+−5a)+(8+−1)

=7a2+2a+7

Answer:

1. 2(9n + 4) --> 18x + 8

2. -3(7n - 2) --> -21n + 6

3. 4(x - 9) --> 4x - 36

4. (7 + 2y)5 --> 5(2y + 7) --> 10y + 35

Answer:

12

Step-by-step explanation:

2x (3) = 72 so 6x = 72 and so x = 12

Answer:12

Step-by-step explanation:

You divide 72 by 3 then that answer by 2 then you get 12. Then if you do 12•2 =24 Then 24 •3 it equals 72

Answer:

The equation of the line is:

Step-by-step explanation:

Given the points

Finding the slope between the points

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)\)

\(m=\frac{9-8}{-1-\left(-5\right)}\)

\(m=\frac{1}{4}\)

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

substituting the values m = 1/4 and the point (-5, 8)

\(y-8=\frac{1}{4}\left(x-\left(-5\right)\right)\)

\(y-8=\frac{1}{4}\left(x+5\right)\)

Add 8 to both sides

\(y-8+8=\frac{1}{4}\left(x+5\right)+8\)

\(y=\frac{1}{4}x+\frac{37}{4}\)

Thus, the equation of the line is:

Answer

Hello there,

The answer is A' (-3,2).

From the image shown on the xy-plane, the coordinate of point A is at (3,-2).

The rule for rotation by 180° about the origin is (x,y)→(-x, -y), where (x,y) is the coordinate of image and (-x, -y) is the coordinate of the resulting pre-image.

Given the coordinate point A(3,-2), if this coordinate is rotated 180°, the resulting point A' will be located at (-3,-(-2)) = (-3,2).

Therefore, the answer will be A'(-3,2)

✍️ by Benjemin ☺️

Answer:

The answer is A' (-3,2).

Step-by-step explanation:

The transformation was a 180° rotation about the origin.

We can solve this question by plotting the points R (1, 1)

S (3, 1) T (1, 6) and R' (–1, –1) S' (–3, –1) T' (–1, –6) on the graph as shown below.

As we can see from the graph, the original triangle RST which was in quadrant 1, now becomes triangle R’S’T’ in quadrant 3. Thus, when triangle RST was transformed using the rule (x, y) → (–x, –y), from quadrant 1 to quadrant 3 it is a 180° rotation about the origin.

Hence, the transformation was a 180° rotation about the origin.

Your question was incomplete. Please check below for full content.

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown. R (1, 1) S (3, 1) T (1, 6) R' (–1, –1) S' (–3, –1) T' (–1, –6)

Which best describes the transformation?

The transformation was a 90° rotation about the origin.

The transformation was a 180° rotation about the origin.

The transformation was a 270° rotation about the origin.

The transformation was a 360° rotation about the origin.

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Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

\({ \bf{ \underbrace{Given :}}}\)

Radius of the circle "\(r\)" = 9 in.

\({ \bf{ \underbrace{To\:find:}}}\)

The circumference of the circle.

\({ \bf{ \underbrace{Solution :}}}\)

\(\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

We know that,

\(\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }\)

\( = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in\)

Therefore, the circumference of the circle is 56.52 in.

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

a = 8

b = -8

Step-by-step explanation:

You have the following function:

\(f(x)\\\\=at+b;\ \ t<2\\\\2t^2-1;\ \ 2\leq t\)

A function is differentiable at a point c, if the derivative of the function in such a point exists. That is, f'(c) exists.

In this case, you need that the function is differentiable for t=2, then, you have:

\(f'(t)=a;\ \ \ \ t<2 \\\\f'(t)=4t;\ \ \ 2\leq t\)

If the derivative exists for t=2, it is necessary that the previous derivatives are equal:

\(f'(2)=a=4(2)\\\\a=8\)

Furthermore it is necessary that for t=2, both parts of the function are equal:

\(8(2)+b=2(2)^2-1\\\\16+b=8-1\\\\b=-8\)

Then, a  = 8, b = -8

Answer:

Step-by-step explanation:

In general, the transformation ...

  g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

  g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

  g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4

Answer:

-2^x

(1/3)^x +5

3^(x +2) -3

(1/2)^x -2

4^(x/3)

2^(x -3) +4

Step-by-step explanation:

In general, the transformation ...

 g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

 g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

 g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4

Answer: -8, 0. 2, -10, 15

Step-by-step explanation:

4x+6 > 3x-9

x + 6 > -9

x > -15

So the answers are -8, 0. 2, -10, 15.

Answer:

a. x = roses

   y= lavender

b. x + y=36

c. 25x + 5y = 480

d. 19 rose bushes and 1 lavender bush

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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