A department store purchases sweaters wholesale for $16. The sweaters sell retail for $35. What is the percent increase to the nearest percent?
A: 19%
B: 54%
C: 46%
D: 119%

The sine of an angle and the cosine of its complementary angle are related. Given that sin 36° is 0.588, we can use this information to find the cosine of the complementary angle.

The sine and cosine of complementary angles are related by the identity: sin θ = cos (90° - θ). Since sin 36° is given as 0.588, we can find the cosine of the complementary angle by substituting it into the identity.

cos (90° - θ) = sin θ

cos (90° - θ) = 0.588

Now we can solve for the cosine of the complementary angle by taking the square root of both sides:

cos (90° - θ) = √(0.588)

cos (90° - θ) ≈ 0.767

Therefore, the cosine of the complementary angle is approximately 0.767.

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The probability that Robert takes one white and one purple sticker is 3/40.

We have,

To calculate the probability of Robert taking one white and one purple sticker, we can use the multiplication rule of probability.

The probability of taking a white sticker from pack A = 6/10.

The probability of taking a purple sticker from pack B = 3/12.

Since the two events are independent, we can multiply these probabilities to get:

P(white from A and purple from B) = (6/10) x (3/12) = 9/120

Simplifying this fraction gives:

P(white and purple) = 3/40

Therefore,

The probability that Robert takes one white and one purple sticker is 3/40.

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Answer:

thats easy  its 52 but you have to -

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:its the only ratio

Answer: 9 points

Step-by-step explanation: 8 rounds=8 points; If Harriet has 19 points and they have played 8 rounds which equal 8 points, 19-8=9 points

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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INDUCTIVE REASONING uses sample results to make generalization about the population.

The reasoning method that uses sample results to attempt to make generalizations about the population is called "inductive reasoning." In this method, you gather data from a sample and then use it to draw conclusions about the entire population. The steps involved in this process are:
1. Collect a sample from the population.
2. Analyze the sample data to find trends or patterns.
3. Use the trends or patterns observed in the sample to make generalizations about the entire population.

Inductive reasoning is a powerful tool in many fields, including science, statistics, and social sciences, as it allows us to make informed decisions based on limited data. However, it is important to remember that the accuracy of the generalization depends on the quality of the sample and the size of the sample.

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Answer:

MSR=100

STQ=80

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

∠ PTS = ∠ NST are vertical angles and are congruent , then

19x + 5 = 17x + 15 ( subtract 17x from both sides )

2x + 5 = 15 ( subtract 5 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

∠ NST = 17x + 15 = 17(5) + 15 = 85 + 15 = 100° , so

∠ MSR = ∠ NST = 100° ( vertical angles )

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

∠ STQ and ∠ NST are same- side interior angles and sum to 180° , then

∠ STQ + 100° = 180° ( subtract 100° from both sides )

∠ STQ = 80°

The number of combinations of size \(k\) that you can make with \(n\) items is given by the so-called binomial coefficient,

\(\dbinom nk = \dfrac{n!}{k!(n-k)!}\)

• \(n!\) is the number of ways of permuting \(n\) items.

• \((n-k)!\) is the number of ways of permuting all but \(k\) of the \(n\) items.

Dividing \(n!\) by \((n-k)!\) then gives the number of ways of permuting only \(k\) of the total \(n\) items.

• \(k!\) is the number of ways of permuting \(k\) items.

Dividing \(\frac{n!}{(n-k)!}\) by \(k!\) then removes all those permutations which contain the same items. We call these combinations.

For this problem we only care about counting combinations.

There are

\(\dbinom 63 = \dfrac{6!}{3!(6-3)!} = 20\)

ways of selecting any 3 girls from the total 6 girls in the entire group of people.

There are

\(\dbinom 72 = \dfrac{7!}{2!(7-2)!} = 21\)

was of selecting any 2 boys from the total 7 boys.

Then there are

\(\dbinom 63 \dbinom 72 = 20\cdot21 = \boxed{420}\)

ways of choosing a committee of 5 people consisting of 3 girls and 2 boys.

If the next question were, "What is the probability that a committee of 5 randomly selected people consists of 3 girls and 2 boys?", then you would additionally need to compute the number of ways one can make a committee of 5 people from the total 13, which is

\(\dbinom{13}5 = \dfrac{13!}{5!(13-5)!} = 1287\)

Then the probability of selecting such a committee at random is

\(\dfrac{\binom 63 \binom72}{\binom{13}5} = \dfrac{420}{1287} = \dfrac{140}{429} \approx 0.3263\)

There is a 50% chance that the person selected is female.

Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.

The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5

Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.

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Complete question:

What is the gender ratio of the people in the class?

Answer:

≈ 33.2 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d = \(\sqrt{(-22-9)^2+(8+4)^2}\)

   = \(\sqrt{(-31)^2+12^2}\)

   = \(\sqrt{961+144}\)

    = \(\sqrt{1105}\) ≈ 33.2 ( to 1 dec. place )

Answer:

C(x) = 25 + 2x

Step-by-step explanation:

He already has 25 cards.

He is collecting 2 cards per month. In x months, he will have collected:

2 * x = 2x cards

That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:

C(x) = 25 + 2x

Answer:

64->-?

Step-by-step explanation:

he spent 64 and now he has none so he spent all his money

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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The choice to do an onion cell will look like are following:

The primary onion cell features can be clearly seen at medium magnification levels when using a light microscope. The cells have thick cell walls, a big, round nucleus, and an extended appearance.

The cells are colorless, thus a stain is used to draw attention to them. Some people have said that they resemble a sunny-side-up fried egg (but transparent). The cells of an onion skin are transparent under a microscope as well.

Therefore, the correct options are:

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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The length of the shorter leg of the triangle ABC is approximately 24.49 units. Let's denote the right triangle ABC, where C is the right angle.

Let D be the midpoint of AB, and E be the foot of the altitude from C to AB. Then we have:

CD = 1/2 AB (definition of median)

CE = 12 (given altitude to the hypotenuse)

Let x be the length of the shorter leg of the triangle ABC. Then we have:

AE = x (definition of altitude)

EB = AB - x (definition of complementary leg)

By the Pythagorean theorem, we have:

AC^2 = AB^2 + BC^2

(2CD)^2 = AB^2 + x^2

AB^2 = 4CD^2 - x^2

By the similarity of triangles AEC and ABC, we have:

CE/AC = AE/AB

12 / (AB + BC) = x / AB

AB = x / (12/x + 1)

Substituting AB into the previous equation, we get:

4CD^2 - x^2 = x^2 / (12/x + 1)^2

Simplifying and solving for x, we get:

x^4 - 576x^2 - 14400 = 0

This is a quadratic equation in x^2, so we can solve for it using the quadratic formula:

x^2 = [576 ± sqrt(576^2 + 4*14400)] / 2

x^2 = [576 ± 624] / 2

Since x is a length, we take the positive square root:

x^2 = 600

x ≈ 24.49

Therefore, the length of the shorter leg of the triangle ABC is approximately 24.49 units.

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Answer:

−7(x + 3) + 8(1 + 8x)=57x - 13

Step-by-step explanation:

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units².

What is circle ?

the side measurements of the square is 2.75 units.

the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

Let's use the formula for finding radius given the circumference.

\(Radius = \frac{circumference}{2\pi }\)

the circumference because our circumference is 11 units.

Radius = \(\frac{11}{2pi }\)

put π = 3.14 * 2

radius =  11 / 2 * 3.14

radius = 11/  6.28 ⇒ 1.75

the area of the circle = \(\pi r^{2}\)

area = 3.14 * (1.75)²  ⇒9.61325

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61325 = 9. 62

Therefore, the area of the circle is 9.62 units².

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Answer:

√9=3

√25=5

5+3=8

Step-by-step explanation:

this is the solution if i understand it correctly

Answer:

About 4

because

3.74 rounded is 4

\(y=ab^x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{(\stackrel{x}{0}~~,~~\stackrel{y}{4})}\implies 4=ab^0\implies 4=a(1)\implies 4=a~\hfill \underline{y=4b^x} \\\\\\ \stackrel{\textit{we also know that}}{(\stackrel{x}{5}~~,~~\stackrel{y}{128})}\implies 128=4b^5\implies \cfrac{128}{4}=b^5\implies 32=b^5 \\\\\\ \sqrt[5]{32}=b\implies 2=b~\hfill \underline{y=4(2)^x}\)

Answer:

The width is 10 inches

The length is 30 inches

Step-by-step explanation:

Perimeter of a Rectangle

The perimeter of a rectangle of length L and width W is calculated as follows:

P = 2L + 2W

It's given the length of a rectangle is 10 more than twice the width:

L = 2W + 10

Substituting into the formula of the perimeter:

P = 2(2W + 10) + 2W

Operating:

P = 4W + 20 + 2W

P = 6W + 20

It's given this perimeter is 80 inches, thus

6W + 20 = 80

Subtracting 20:

6W = 80 - 20 = 60

Dividing by 6:

W = 60 /6 = 10

Since :

L = 2W + 10

L = 2*10 + 10

L = 30

The width is 10 inches

The length is 30 inches

Answer:

0.0015232292460015

I think you mean 2,626/4

Then it is  656.5

Step-by-step explanation:

What you wrote is probably not what you wanted the bottom is

Answer:

656 remainder of 2

Step-by-step explanation:

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of a parallelogram cross at their midpoints. This means the segments of each diagonal are equal in length:

  RT = PT

  x = 5x -28

  28 = 4x . . . . . add 28-x

  7 = x . . . . . . . .divide by 4

__

  QT = ST

  5y = 2y +12

  3y = 12 . . . . .subtract 2y

  y = 4 . . . . . . divide by 3

The values of x and y that make the figure a parallelogram are x=7 and y=4.

Answer:

See below

Step-by-step explanation:

Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.

For instance, \(\int\limits^ {}2x \, dx=x^2+C\) because the derivative of \(x^2\) is \(2x\).

Answer:

Is there a graph involved because i don't know the lengths

Step-by-step explanation:

Answer:

48π units³

OR

≈ 150.72 units³

Step-by-step explanation:

Volume formula for a cylinder is: πr²h

Using the measurements given, we get:

π×4²×3=

π×16×3=

π×48=

48π≈

150.72 units³

Answer:

Brainliest

Step-by-step explanation:

V= π r^2 h

see picture

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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The probability that abc ab a is divisible by 3 is 13/27.

Probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We group this into groups of 3, because 3|2010. This means that every residue class mod 3 has an equal probability.

If 3|a, we are done. There is a probability of 1/3 that that happens.

Otherwise, we have 3 | bc + b + 1, which means that b (c + 1 ) = 2  mod{3}. So either

b = 1     mod (3)          c = 1     mod (3)

or

b = 2    mod (3)          c = 0     mod (3)

Which will lead to the property being true. There is a 1/3 * 1/3 = 1/9 chance for each bundle of cases to be true.

Thus, the total for the cases is 2/9. But we have to multiply by 2/3 because this only happens with a 2/3 chance. So the total is actually 4/27.

The grand total is

1/3 + 4/27  = 13/27

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