Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising

Answer:

400!

Step-by-step explanation:

16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!

16 is 4 percent of 400 as per the concept of percentages.

16 is 4% of 400.

To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:

16/x = 4/100

To solve this proportion, we can cross-multiply:

16 (100) = 4x

1600 = 4x

To isolate x, we divide both sides of the equation by 4:

1600/4 = x

x = 400

Therefore, 16 is 4% of 400.

To verify this, we can calculate 4% of 400:

4/100 x 400 = 0.04 x 400 = 16

As we can see, 16 is indeed 4% of 400.

To learn more about the percentage;

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Answer:

question 10

14×50= 700 pages

Answer:

x = 4, y = 0

Step-by-step explanation:

Answer:2 x 3

Step-by-step explanation:

Answer: [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

2[tex]\frac{1}{10}[/tex] barrels of almonds to make 3 batches of granola bar.

We need to turn fraction 2[tex]\frac{1}{10}[/tex] into a mixed number

2[tex]\frac{1}{10}[/tex] → [tex]\frac{21}{10}[/tex]

Now we set up an equation.

[tex]\frac{\frac{21}{10} }{3} =\frac{x}{1}[/tex]

Solve for x by cross multiplying and dividing.

[tex]\frac{21}{10}[/tex] ÷ 3 (KCF)

[tex]\frac{21}{10}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{30}[/tex]

Now we simplify the fraction.

[tex]\frac{21}{30}[/tex] → [tex]\frac{7}{10}[/tex]

[tex]\frac{7}{10}[/tex] barrels of almonds were used in each batch.

Answer:

Step-by-step explanation:

Answer: 6

Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.

Answer: It should be C

Step-by-step explanation: This is because since She has 29 seashells then got 10 more that would add it and since she gave some to her little sister we subtract there

Answer:

I think that it would be C 29+10-S

Step-by-step explanation:

I say this because she had 29 then got 10 which would be 29+10 and she gave S away that's 2o+10-S

Answer:B

Step-by-step explanation:

Problem 14, Part (a)

The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.

Let's find the point slope form of the parallel line through (-4,1)

[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]

Now solve for y to get the slope intercept form.

[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]

============================================================

Problem 14, Part (b)

The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.

Using the same point (-4,1), we find that the point slope form is...

[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]

Now solve for y

[tex]y-1 = -\frac{1}{2}(x+4)\\\\y = -\frac{1}{2}(x+4)+1\\\\y = -\frac{1}{2}x-2+1\\\\y = -\frac{1}{2}x-1\\\\[/tex]

============================================================

Problem 15, Part (a)

Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.

We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D

5x+2y = D

D = 5x+2y

D = 5(0)+2(10)

D = 20

The equation 5x+2y = D updates to 5x+2y = 20

============================================================

Problem 15, Part (b)

If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.

The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.

2x-5y = D

D = 2x-5y

D = 2(0)-5(10)

D = -50

Answer:

A 4 Feet

Explanation 4yards=12feet 12 divided by 3=4

Answer: 180 cm

Step-by-step explanation: 1 decimeter = 10 centimeter

18 dm = 10 * 18 cm

18 dm = 180 cm

Would appreciate brainly <3

Answer:

neither

Step-by-step explanation:

If 2 lines are parallel then their slopes are equal

If 2 lines are perpendicular then the product of their slopes = - 1

Calculate the slopes m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )

[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

Repeat

with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )

[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]

The slopes are neither equal nor have a product of - 1

Answer:

A

Step-by-step explanation:

In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same

Answer:

50 in²

Step-by-step explanation:

The area of the rectangle = 8 × 4 = 32 in²

area of Δ NPO = [tex]\frac{1}{2}[/tex] × PO × PN = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 in² ( PN = RM )

area of Δ PQR = [tex]\frac{1}{2}[/tex] × RP × 3 = [tex]\frac{1}{2}[/tex] × 8 × 3 = 12 in² ( RP = MN )

area of MNOPQR = 32 + 6 + 12 = 50 in²

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )

m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]

Hello there! :)

To find the slope of the line when we are given 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]

So the slope is -6/5. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]MysteriousNature :)[/tex]

The relationships between angles formed by two parallel lines having a common a transversal include, alternate interior, vertically opposite, corresponding, alternate exterior, same side, interior and exterior

The correct option for the missing reason in step 3. is as follows;

Alternate interior angles are congruent

The reason the above option is correct is as follows:

The given parameters are;

Line y is parallel to line z

The figure ABC forms a triangle

The two column proof is presented as follows:

Statement                                            Reason

1. ABC is a triangle                              1. Given

2. lines y and z are parallel                2. Given

3. ∠1 is congruent to ∠5; ∠3 ≅ ∠6     3. Statement reason required

∠3 is congruent to ∠6

4. m∠1 = m∠5; m∠3 = m∠6                4. By definition of congruency

5. m∠1 + m∠2 + m∠3 = m∠LAM          5. By angle addition Postulate

6. m∠1 + m∠2 + m∠3 = 180°                6. Angles on a straight line

7. m∠5 + m∠2 + m∠6 = 180°               7. Substitution (property)

Required:

The reason for  the statement ∠1 ≅ ∠5; ∠3 ≅ ∠6

Solution:

From the attached diagram for the question, we have that angle ∠1 and angle ∠5 on line AC and ∠3 and ∠6 on line AB are alternate interior on two parallel lines, and they are therefore, congruent.

Therefore

∠1 ≅ ∠5, and ∠3 ≅ ∠6 by alternate interior angles theorem which states that alternate interior angles, which are the pair angles formed in the inside face of two parallel lines crossed by a common and the common transversal but on either of the transversal, are congruent

Therefore, the missing reason in Step 3 is;  Alternate interior angles are congruent

Answer:

The penguin will walk 75.15 feet in 45 sec

Step-by-step explanation:

Answer:

4 better explanation inbox

Step-by-step explanation:

Answer:

-9> 4

Step-by-step explanation:

-9> 4

Positive numbers are greater than negative numbers and knowing that makes this comparison incorrect.

Hope this helps :)

Answer:

Quadrant II

Step-by-step explanation:

(-5,6)

The x coordinate is negative so the quadrant is either 2 or 3

The y coordinate is positive so the quadrant is either 1 or 2

To make both  happen, it must be in quadrant 2

Quadrant II

Answer:

it is equal to 1.25

Step-by-step explanation:

hope it's helpful

Answer:

Decimal:

1.25

Mix Number:

1 1/4

Improper Fraction:

5/4

Step-by-step explanation:

10/8 is 1.25

In fraction it is  1 1/4 or 5/4

Hope this helps!

Answer:

70.2

Step-by-step explanation:

28.08 / 0.4 = 70.2

Answer:

-11

Step-by-step explanation:

3 - 11 = -8

Answer:

92.

Step-by-step explanation:

By proportion the mass of zinc = (345/ 15) * 4

= 92.

Answer:

Answer below

Step-by-step explanation:

1/8 is correct

in pic

_________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

12.5%

Step-by-step explanation:

Answer:

a = 3

Step-by-step explanation:

ok so first you do the reciprocal of division which is multiplication. So its gonna be 3/4 x 1/a = 1/4

you multiply the fractions 3/4 x 1/a and get 3/4a = 1/4

then you cross multiply and you get 12=4a

swap sides so its going to be 4a = 12

divide both sides by 4 and you get a = 3

Answer:

1:4

Step-by-step explanation:

A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.

Answer:

The perimeter of triangle is 33 meters.

Step-by-step explanation:

Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:

7x - 17 = 4x - 5

7x - 4x = 17 - 5

3x = 12

x = 12 ÷ 3

x = 4

OR:

4x - 5 = 2x + 3

4x - 2x = 3 + 5

2x = 8

x = 8 ÷ 2

x = 4

Substitute x = 4 into all expressions:

7x - 17 = 7(4) - 17 = 11 meters

4x - 5 = 4(4) - 5 = 11 meters

2x + 3 = 2(4) + 3 = 11 meters

In order to find out the perimeters, you have to add up all the sides:

P = 11 + 11 + 11

P = 33 meters

Answer:

p = 33 m

Step-by-step explanation:

Since this is an equalateral triangle all the sides are equal

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

set any two sides equal

7x - 17 = 2x + 3

subtract 2x from both sides

5x - 17 = 3

add 17 to both sides

5x = 20

Divide both sides by 5

x = 4

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

Find the length of any side

s = 2x + 3

s = 2(4) + 3

s = 11

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

the perimiter is the three times any side

p = 3s

p = 3 * 11

p = 33 m