given that f(m) = m/2, find m​

Answer:

The optimal price should be $10 which will result in maximum revenue.

Step-by-step explanation:

y = [5+ 0.5x] [ 300 - 30x]

y = 1500 - 150x + 150x - 15x^2

y = 1500 - 15x^2

x^2 = 1500 /15

x = [tex]\sqrt{100}[/tex]

x = 10

Solution :

Since [tex]BE[/tex] is an altitude of a triangle [tex]ABC[/tex], it is perpendicular to [tex]AC[/tex] (since the triangle ).

Since [tex]G[/tex] and [tex]K[/tex] are the midpoints, then the line [tex]BG=GA[/tex] and the line [tex]BK=KC[/tex]. The line [tex]KG[/tex] must be parallel to the line [tex]AC[/tex] and is therefore perpendicular to [tex]BE.[/tex]

Now since F and [tex]G[/tex] are the mid points, we get  [tex]GA=BG[/tex]. The line [tex]GF[/tex] is parallel to BH  and is perpendicular to AC.

Therefore, we have

[tex]KG-GK[/tex] parallel to [tex]AC[/tex]

[tex]AC[/tex] perpendicular to [tex]BE-BH-BJ[/tex]

[tex]BE-BH-BJ[/tex] parallel to [tex]GF[/tex]

Thus [tex]GK[/tex] is perpendicular to [tex]GF[/tex] and also ∠[tex]FGK[/tex] is a right angle.

Answer:

4

Step-by-step explanation:

The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.

Given

A + B = 8

A + C = 13

B + D = 8

C - D = 6

Now

A + B = B + D

A = B + D -B

A = D

C - D = C - A

A + C = 13

C - A = 6

Adding 7 on both sides

C - A +7 = 6+7

C - A + 7 = A + C

C-C -A + 7 = A

-A +7 = A

7 = A+A

7/2 = A

A = 3.5

B = 4.5

C =9.5

D = 3.5

Answered by Gauthmath must click thanks and mark brainliest

Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

[tex]\frac{225}{20}[/tex] = x , that is

x = [tex]\frac{45}{4}[/tex] → E

The value of the x in the given triangle is 45/4.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

Learn more about similar triangles click;

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Answer:

? ≈ 28°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{41}[/tex] , then

? = [tex]sin^{-1}[/tex] ([tex]\frac{19}{41}[/tex] ) ≈ 28° ( to the nearest degree )

The 3rd option is correct

Answer

The missing value is 4/9

Answer:

Closed side up : 5/50

1/50 = open side up

44/50 = landing side

experimental probablity Formula:

no. of times event was conducted/ Total no. of times experiment was conducted.

Let's first start with open side up.

No. times it was conducted was 1.

Total no times experiment conducted:  50 times

1/50 = open side up

Closed side up

No. times it was conducted was 5

Total no times experiment conducted:  50 times

5/50

The same for landing on side :

44/50

Have a wonderful day!!

The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is  given as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

For the given case, if we name the events for results of tossing of paper cup as:

Then, as it is given that:

Number of times paper cup was tossed = 50

Thus, their experimental probabilities are obtained as:

[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]

Learn more about experimental probability here:

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (2, 0 ) → A' (2, 0 )

B (4, 1 ) → B' (4, - 1 )

C (6, - 4 ) → C' (6, 4 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (2, 0 ) → A'' (- 2, 0 )

B' (4, - 1 ) → B'' (- 4, - 1 )

C' (6, 4 ) → C'' (- 6, 4 )

Step-by-step explanation:

VERY EASY FOR ME

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann h

ypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

SO 6+/7× and 78/+×

ANSWER

-4-3-2

1

2

3

4

5 6

x

-2gbhdfcjfghu

Answer:

56 degrees

Step-by-step explanation:

1. Notice how g is part of a right angle, which equals 90 degrees.

2. Notice how the 34 degree angle on the other side is also part of a 90 angle.

3. Notice how the 2 right angles are vertical to each other, meaning they are the same.

4. Subtract 34 from 90.

5. g=56 degrees

Hope this helps!

-Stella

I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.

*It's kind of of hard to see if g is referring to both angle degrees or not.

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

Answer:

f(x)=2(x-3)-2

Step-by-step explanation:

when you hear if it translate to the right, it mean subtract " - "

so translate 3 unit right, it mean minus 3.

and same if translate left, it mean add, "+"

But if it mean shift down, it mean minus -

and if it mean shift up, it mean add +

so shift down 2 unit, mean -2

stretch factor of 2, mean multiply by 2

I hope this help! Im gonna explain further more if you have any question☺

The transformation of a function involves changing the features of the original function to another.

The new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]

The function is given as:

[tex]f(x) = (x + 2)^2 - 5[/tex]

When translated right, the rule is:

[tex](x,y) \to (x - h, y)[/tex]

In this case;

[tex]h= 3[/tex] --- i.e. 3 units right

So, the function becomes

[tex]f'(x) = (x + 2 - 3)^2 - 5[/tex]

[tex]f'(x) = (x - 1)^2 - 5[/tex]

When shifted down, the rule is:

[tex](x,y) \to (x, y - b)[/tex]

In this case;

[tex]b =2[/tex]  --- i.e. 2 units down

So, the function becomes

[tex]f'(x) = (x- 1)^2 - 5-2[/tex]

[tex]f'(x) = (x- 1)^2 - 7[/tex]

When vertically stretched, the rule is:

[tex](x,y) \to (x, ay)[/tex]

In this case;

[tex]a =2[/tex]  --- i.e. factor of 2

So, the function becomes

[tex]f"(x) = 2*[(x- 1)^2 - 7][/tex]

[tex]f"(x) = 2(x- 1)^2 - 14[/tex]

Hence, the new function is: [tex]f"(x) = 2(x- 1)^2 - 14[/tex]

Read more about function transformations at:

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Answer:

16⅜ cups

Step-by-step explanation:

Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:

15¾ cups + ⅝ cups = ?

15¾ = 63/4 = 126/8

126/8 + ⅝ = 131/8 = 16⅜

Step-by-step explanation:

Step 1:  Find the value of f(-1)

Using the graph, locate where x = -1.  We can see that when x = -1, y is equal to about -8.  Therefore, f(-1) = -8.

Step 2:  Find the value of f(1)

Using the graph, locate where x = 1.  We can see that when x = 1, y is equal to about -12.  Therefore, f(1) = -12.

The evaluated function:

f(-1) = -8 and f(1) = -12.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

As per the information provided, it is given that the evaluated points are:

(-2, 0), (-1, -8), (0, -6), (3, 0), (1, -12), and (2, -20).

To find the evaluated function at x = -1,

We have:

f(-1) = -8.

And to find the evaluated function at x = 1.

we have:

f(1) = -12.

Therefore, f(-1) = -8 and f(1) = -12.

To learn more about the function;

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Answer:

One solution: 0x + 0.5y = 0

Step-by-step explanation:

9x + 4y = 36

6x + 2.5y = 24

2 * Eq. 1

18x + 8y = 72

-3 * Eq. 2

-18x - 7.5y = -72

Add the multiples of the equations.

0x + 0.5y = 0

Answer: One solution: 0x + 0.5y = 0

The linear combination that reveals the number of solutions to the system is as follows:

One solution: 0x + 0.5y = 0

The system of linear equation is as follows:

9x + 4y = 36

6x + 2.5y = 24

He multiplied the first equation by 2 and the second equation by –3. Therefore,

18x + 8y = 72

-18x - 7.5y = -72

Therefore, let's add the equation

0x + 0.5y = 0

learn more on system of equation: https://brainly.com/question/2437164?referrer=searchResults

Answer:

4^(-2)

Step-by-step explanation:

4^4(4^-7)(4)

We know that a^b * a^c = a^(b+c)

4^4(4^-7)(4^1)

4^(4+-7+1)

4^(-2)

To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.

Model:

The exponential model for the number of infected trees after t years is given by:

[tex]f(t) = e^{0.4t}[/tex]

How many years will it take for 21 of the trees to become infected?

This is t for which:

[tex]f(t) = 21[/tex]

Thus

[tex]e^{0.4t} = 21[/tex]

Applying the natural logarithm to both sides:

[tex]\ln{e^{0.4t}} = \ln{21}[/tex]

[tex]0.4t = \ln{21}[/tex]

[tex]t = \frac{\ln{21}}{0.4}[/tex]

[tex]t = 7.6[/tex]

It will take 7.6 years for for 21 of the trees to become infected.

For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.

Answer:

B option is your answer

Step-by-step explanation:

please mark as brainliest

Answer:

B. 4th root of 7

Step-by-step explanation:

denominator is the root. numerator is the exponent

Answer: B. t = 9.6tan(29°)

Step-by-step explanation:

Based on the fact:

[tex]tan(x)=\frac{opposite}{adjacent}[/tex]

Set x = 29 and solve:

[tex]\\\\tan(29)=\frac{t}{9.6} \\\\t=9.6*tan(29)[/tex]

Answer: No real solution

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5[tex]\sqrt{2x^3}[/tex] -5[tex]\sqrt{x^3}[/tex] + 5√x³ -√2x³ = 4[tex]\sqrt{2x^3}[/tex] = 4x√2x

Answer:

1) x= -7/5  

Step-by-step explanation:

−5x-7=0

-5x=7

x=-7/5

Answer:

D

Step-by-step explanation:

To find the zero let y = 0 , that is

- 5x - 7 = 0 ( add 7 to both sides )

- 5x = 7 ( divide both sides by - 5 )

x = [tex]\frac{7}{-5}[/tex] = - [tex]\frac{7}{5}[/tex] → D

Answer:

DE = 21.4

Step-by-step explanation:

The parallel lines divide the transversals proportionally, that is

[tex]\frac{DE}{EB}[/tex] = [tex]\frac{DF}{FC}[/tex] , substitute values

[tex]\frac{DE}{10.7}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 10.7 )

DE = 21.4

Answer:

It's answer is 200 cents bun not sure

Answer:

By the 4th hour of working, both jobs pay 80, but Job B will pay less by the 5th hour, and continues to pay less as time progresses after that.

Draw the graph of Job b on the same graph as A and you'll see exactly when A passes B.

He'll make more at job A if he works more than 4-5 hours, but more at job B if he works less than 4-5 hours (again, don't know at exactly what time A passes B, wouldn't recommend putting "4-5" on a paper)

Step-by-step explanation:

hour          job A pay           job B pay

----------------------------------------------------------

 0                    $0                    $30

 1                   $ 20                $42.50

 2                   $40                   $55

 3                   $60                $67.50

 4                   $ 80                  $80

 5                   $100               $ 92.50

Hope this helps!