ƒ”(x)=6x, f'(-3)=20, ƒ(-3)=-5
f(x)=?

The mark up percentage gained by the shopkeeper is 400%.

For the given question.

The cost of the item is $103.

The customer pays is $515.

The mark up percentage is -

mark up percentage = 515 - 103 / 103

mark up percentage = 4 × 100%

mark up percentage = 400 %.

Thus, the mark up percentage gained by the shopkeeper is 400%.

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Answer:

Step-by-step explanation:

Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².

Given the complex number z = 9+40i

The modulus of the complex number z will be expressed as;

|z| = √9²+40²

|z| = √81+1600

|z| = √1681

|z| = 41

Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.

Answer:

|9+40i| = 41

|-10+24i| = 26

He should have used 13 instead of 13i.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Edge 2021

Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.

To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.

Substituting 4q for p, we get:

4q + q = 90

Combining like terms:

5q = 90

To solve for q, we divide both sides of the equation by 5:

q = 90/5

Simplifying:

q = 18

Therefore, the size of angle q is 18 degrees.

when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.

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Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

A line with undefined slope is a vertical line. A vertical line has the equation

x = anumber

The point you were given has an x and a y...(x,y) The first number is the x.

x = 7

That's it, thats the equation of a line with undefined slope that goes through (7, -3).

<<<Fun fact: Lines with 0 slope are horizontal lines and have the equation

y = anumber >>>

To solve this problem, we can use the method of mixtures. Let x be the number of pounds of chocolate to be mixed with the trail mix. We can set up the following equation based on the given information:

(21.10x + 3.10(14)) / (x + 14) = 12.41

Simplifying and solving for x, we get:

21.10x + 43.40 = 12.41x + 173.54

8.69x = 130.14

x = 15

Therefore, the store owner should mix 15 pounds of chocolate costing $21.10 per pound with 14 pounds of trail mix costing $3.10 per pound to create a mixture worth $12.41 per pound.

To check this answer, we can verify that the total cost of the mixture equals the total cost of the chocolate and trail mix:

15(21.10) + 14(3.10) = 315 + 43.40 = 358.40

And the total weight of the mixture is:

15 + 14 = 29

So the cost per pound of the mixture is:

358.40 / 29 = 12.41

which matches the desired cost per pound.

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The square roots of the given fractions are:

√(121/625) = 11/25
√(225/729) = 15/27
√(64/441) = 8/21

What is fraction?

A fraction is a mathematical expression that represents a part of a whole or a division of one quantity by another.

To find the square root of a fraction, we can take the square root of the numerator and the square root of the denominator separately.

Square root of 121/625:

The square root of 121 is 11, and the square root of 625 is 25. Therefore,

√(121/625) = 11/25.

Square root of 225/729:

The square root of 225 is 15, and the square root of 729 is 27. Therefore,

√(225/729) = 15/27.

Square root of 64/441:

The square root of 64 is 8, and the square root of 441 is 21. Therefore, √(64/441) = 8/21.

So, the square roots of the given fractions are:

√(121/625) = 11/25
√(225/729) = 15/27
√(64/441) = 8/21

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we need to multiply this number by 100 to get the  as a percentage:

0.1806 * 100 = 18.06%

The probability of choosing a senior can be calculated using the formula:

P(senior) = (102/562) * 100

P(senior) = 18.06%

This means that there is an 18.06% chance of choosing a senior if a student is randomly selected from the school.

First, we need to calculate the total number of students in the school by adding together the number of students in each class:

Total = 165 + 145 + 114 + 102 = 562

Next, we need to calculate the probability of choosing a senior by taking the number of seniors enrolled in the school (102) and dividing it by the total number of students in the school (562).

102/562 = 0.1806

Finally, we need to multiply this number by 100 to get the probability as a percentage:

0.1806 * 100 = 18.06%

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Answer:

The number of stitches is 5 times the length.

Step-by-step explanation: i took edge

Answer:

(a, 0) I give 50% credit to the answer in the comments

Step-by-step explanation:

Because it is isosceles, we must have the same y distance, (a) as an x distance

So we must have (a) in the x coordinate

The correct option is number 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The dolphin is -8 feet below sea level

Step-by-step explanation:

Start a -3 feet below sea level. Then subtract the -9 from when the dolphin dives. Then add the +4 feet. And you'll get -8. Hope this helps:)

The dolphin’s final elevation relative to sea level will be -8 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then the dolphin swims 4 feet up toward the surface with its catch.

The elevation of the Dolphin is:-

Elevation = -3 - 9 + 4

Elevation  = -8 feet

Therefore, the dolphin’s final elevation relative to sea level will be -8 feet.

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Answer:

i got x=-135

Step-by-step explanation:

lets solve!

first remove the parentheses=        x-1.2x=27

second you collect like terms=       -0.2x=27

last divide both sides by -.02 =      x=-135

hope this helps you!! :)

The Q3 means the third quartile which is 16

Answer:

44.8 feet

Step-by-step explanation:

Answer:

I think the answer is c because that would make the most sense

Step-by-step explanation:

Im not 100% tho

The flux through through the boundary of the rectangle is -sin(6x)/6.

According to the statement

we have given that the limits and the equation, and we have to find the flux of the given equation.

For this purpose, we know that the

Flux is a the surface integral of the perpendicular component of a vector field over a surface.

And the given equation is :

x^4 + 5,ycos(6x)

The given limits are:

0≤ x ≤ 2, 0 ≤ y ≤ 4

So, Integrate with the given imits,

\(\int\limits^2_0 \int\limits^4_0 {x^4 + 5,ycos(6x)} \, dx\)

When integrate these terms with dx and dy one by one then the equation become:

For the x:

\(\int\limits^2_0 {x^4 + 5,ycos(6x)} \, dx \\\bracket\limits^2_0 [{\frac{x^5}{5},{-ysin(6x)}}/{6]\)

And then integrate w.r.t the y.

Then the flux through the boundary become:

-sin(6x)/6.

So, The flux through through the boundary of the rectangle is -sin(6x)/6.

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To determine the long-run equilibrium for each firm's production of kites, we need to find the level of output where marginal cost (MC) equals marginal revenue (MR). In perfect competition, firms maximize their profit by producing at the level where MC = MR.

Given the marginal cost function MC = 0.02q, we equate it to the marginal revenue, which is equal to the market price (P) in perfect competition. So, we have:

0.02q = P

Now, we need to find the price at which the quantity demanded (QD) equals the quantity supplied (QS) in the market. To do this, we set QD equal to QS:

QD = QS

Substituting the demand function QD = 4000 - 1000P into the equation, we get:

4000 - 1000P = QS

Now, we can solve for the price (P):

4000 - 1000P = 0.02q

Simplifying further:

1000P = 4000 - 0.02q

P = (4000 - 0.02q) / 1000

Now, we can substitute the value of P into the equation for MC to find the level of output (q):

0.02q = P

0.02q = (4000 - 0.02q) / 1000

Solving for q:

0.02q = 4 - 0.00002q

1.00002q = 4

q = 4 / 1.00002

q ≈ 3999.8

In the long-run equilibrium, each firm will produce approximately 3999.8 kites.

The long-run supply curve for kites in perfect competition is horizontal at the minimum average total cost (ATC) of the firms. This is because in the long run, firms have enough time to adjust their inputs and optimize their production processes, leading to production at the lowest possible cost.

a. To find the number of kites sold and the number of firms in the kite industry, we substitute the price (P) into the demand function QD = 4000 - 1000P:

QD = 4000 - 1000P

QD = 4000 - 1000(4000 - 0.02q) / 1000

Simplifying:

QD = 4000 - 4000 + 0.02q

QD = 0.02q

Since q represents the output per firm and we know that each firm produces around 3999.8 kites, we can substitute this value:

QD = 0.02 * 3999.8

QD ≈ 79.996

Approximately 80 kites will be sold. To find the number of firms in the kite industry, we divide the total quantity supplied by the output per firm:

QS = 3999.8

Number of firms = QS / q

Number of firms = 3999.8 / 3999.8

Number of firms = 1

b. In the very short run, when it is impossible to manufacture any more kites than those produced for that week, the price of kites will be determined by the demand and supply conditions. With the demand function QD = 5000 - 500P, we can find the equilibrium price:

QD = QS

5000 - 500P = QS

Substituting the supply quantity from above:

5000 - 500P = 3999.8

Solving for P:

500P = 5000 - 3999.8

Answer:

There is a 15% chance a student chosen at random would have brown sandals.

Step-by-step explanation:

The required probability will be 0.15 that a student chosen at random would have brown sandals.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

the probability = number of favorable outcomes /  total number of outcomes.

We have been given that out of 200 students in a school, 30 have brown sandals.

To determine the probability that a student chosen at random would have brown sandals.

The probability = number of favorable outcomes /  total number of outcomes.

The probability = 30 / 200

The probability = 0.15

Thus, the required probability will be 0.15 that a student chosen at random would have brown sandals.

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An expression that is equivalent to ∛18⁴ is (b) (18)³/⁴

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

∛18⁴

Applying the law of indices, we have

∛18⁴ = (18⁴)¹/³

Evaluate

So, we have

∛18⁴ = (18)³/⁴

Hence, the solution is (18)³/⁴

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Answer:

5

Step-by-step explanation:

because its squared 5 but 5 regular is almost 4 if u look at bottom theres 4 so x is 5

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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Answer: 60

Step-by-step explanation:

If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60

There are 27,405 different ways according to the combinations formula ,presenter can select 4 people out of 30.

What is combinations?

Combinations, in mathematics, refer to the selection of items from a larger set without considering their order.

To determine the number of different ways the presenter can select 4 people out of 30, we can use the concept of combinations. Specifically, we can calculate the number of combinations of 30 items taken 4 at a time, denoted as "30 choose 4" or "C(30, 4)".

The formula for combinations is:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items and r is the number of items to be selected.

Using this formula, we can calculate the number of different ways:

C(30, 4) = 30! / (4!(30 - 4)!) = (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1) = 27,405

Therefore, there are 27,405 different ways the presenter can select 4 people out of 30.

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This is an example of a biased research sample. By only surveying students at a wealthy private college, the researcher may not accurately capture the budgeting behavior of college students as a whole.

The sample is limited and not representative of the entire population of college students. To ensure more accurate and unbiased results, the researcher should consider surveying a diverse range of college students from different socioeconomic backgrounds and institutions. In this scenario, a researcher wants to study budgeting behavior among college students but only surveys students at a wealthy private college with a tuition of $65,000 per year. This is an example of a biased research sample. The sample is not representative of the broader population of college students, as it only includes students from a specific socio-economic background attending a wealthy private college.

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Answer:

540 cm²

Step-by-step explanation:

\((13)(16)+\frac{1}{2}(2)(12)(5)+(12)(16)+(16)(5)=540\)

Answer:

x is equal to -9 thus it becomes -18 in the whole setup

Answer:

there is no graph

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3x2 is a term, -6x is a term, and 1 is a term (i could be wrong)

Answer:

Mixed number: 16 4/5

Improper fraction: 84/5

Decimal: 16.8

Step-by-step explanation:

:)

Answer:

16 4/5

Step-by-step explanation:

improper=84/5

The composite function N(T(t)) = 20082.The time when the bacteria count reaches 20082 is approximately 30.28 hours.

To find the composite function N(T(t)), we need to substitute the expression for T(t) into the function N(T).

Given:

N(T) = 307² - 112T + 75

T(t) = 3t + 1.7

Substituting T(t) into N(T), we get:

N(T(t)) = 307² - 112(3t + 1.7) + 75

Simplifying:

N(T(t)) = 307² - 336t - 190.4 + 75

N(T(t)) = 307² - 336t - 115.4

Now let's find the time when the bacteria count reaches 20082.

N(T(t)) = 20082

307² - 336t - 115.4 = 20082

Taking 115.4 to the other side:

\(307^2\) - 336t = 20082 + 115.4

307² - 336t = 20197.4

336t = 307² - 20197.4

Dividing by 336:

t = (307² - 20197.4) / 336

Calculating the value of t:

t ≈ 30.28

Therefore, the time when the bacteria count reaches 20082 is approximately 30.28 hours.

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