Find the diameter of a circle with an area of 256π square meters.

Answer:

7% increase

Have a nice day :)

Answer: Decay;  -7% increase

You could also say "7% decrease" but it looks like your teacher wants "increase" in there, so you have to make the value negative.

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Explanation:

The base of the exponential is 0.93

Compare this to 1+r and we see that 1+r = 0.93 solves to r = -0.07

The negative r value indicates exponential decay. Specifically we have 7% decay. The amount is decreasing by 7% each time x increases by 1 unit.

The phrasing "7% decrease" is the same as "-7% increase", though in my opinion, "7% decrease" sounds more natural and easier to conceptualize.

The expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

Option (C) is correct.

What is a discount?

A discount is a reduction in the price of a product or service. It can be offered for a variety of reasons, such as to encourage customers to make a purchase or to clear inventory. Discounts can be expressed as a percentage off the original price, or as a fixed dollar amount.

Part A: The expression that would calculate the final price of a hat is h(0.775)(1.08875). This takes into account the 22.5% discount by multiplying the original price by 0.775, and then adds the 8.875% sales tax by multiplying the discounted price by 1.08875.

Part B: If the original price of a hat is $42, then the final price of buying four hats after the discount and sales tax would be $42 x 4 x 0.775 x 1.08875 = $142.

Hence, the expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

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The area of the sector is 16π square inches.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360) x \(\pi r^2\)

where r is the radius of the circle.

In this case, the radius is given as 8 inches.

We are also given that the central angle measures from 60 to 150 degrees. To calculate the area of the sector, we need to find the size of the central angle first.

To do this, we subtract the smaller angle from the larger angle:

150 - 60 = 90 degrees

So, the central angle is 90 degrees.

Now, we can substitute the values into the formula:

Area of sector = (90/360) x \(\pi 8^2\)

Area of sector = (1/4) x π(64)

Area of sector = 16π square inches

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Answer:

I think the answer is D. 22%

Answer:

b is correct

Step-by-step explanation:

Answer:

8.94 inches

Step-by-step explanation:

Solve for hypotenuse.

To dilate a point at a point, you start by selecting a center of dilation and a scale factor.

Then, for each point that you want to dilate, you do the following:

For example, if you wanted to dilate point P by a scale factor of 2, with the center of dilation at O, you would draw a line segment from O to P, double its length, and then draw a new line segment from O to the new point, using the new length that you calculated. The new point would be the point that you arrive at when you complete this line segment.

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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

Given that the expenses on petrol be R4850.00 at the end of September, balance is R 106360.00, usage on income of salaries be 25%, on electricity,rates and taxes be 11%, 42% of the remaining on insurance and investments.

We are required to find the total income and expenditure in September.

Generally the equation for insurance is mathematically given as :

Insurance=42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Generally the equation for the total after all the other expenditures is mathematically given as:

Total expenditure after all other expenditures=0.64A-0.2688A

Total expenditures after all other expenditures=0.3712A.

Total expenditures after all other expenditures is as 111210 (106360+4850)

Equating both the equation and value:

111210=3712A

A=299596

The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

We have to find the total income and expenditure in September.

The equation for insurance is mathematically given as :

Insurance = 42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Total expenditure after all other expenditures = 0.64A-0.2688A

Total expenditures after all other expenditures = 0.3712A.

Total expenditures after all other expenditures is as 111210 (106360 +4850)

Equating both the equation and value:

111210 = 3712 A

A = 299596

Thus The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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Answer:

X is equal to 108 degrees

Answer: 108

Step-by-step explanation:

the flat line means 180 degrees so subtrct 72 from 180 and get 108°

Answer:

m∠2= 86

Step-by-step explanation:

since they are vertical angles, that means they are both equal to eachother.

so lets set them equal!

17x+1=20x-14

17x+15=20x

15=3x

x=5

now input x into m∠2

m∠2 = 20(5) – 14 = 86

Answer:

A. 8.27*10^4

D. 82,700

Step-by-step explanation:

Answer: $6.00

Step-by-step explanation: Half of 2.25 is 2.25 which equals 4.50 and one third of 4.50 is 1.50 so that equals now $6.00

Answer: $13.50

Step-by-step explanation:

Answer:A student pays for 8.9 pounds of apples with a $10 bills. How much change does the student receive?

Step-by-step explanation:

Answer:the answer is 2 dollar

Step-by-step explanation:

The dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction.

From the given information, we know that the magnitudes of vectors x and y are 5 and 4 units, respectively, and their dot product is 20 units.

To find the angle between vectors x and y, we can use the formula:

cos(theta) = (x.y) / (|x| * |y|)

Substituting the given values, we get:

cos(theta) = 20 / (5 * 4)
cos(theta) = 1

This implies that the angle between vectors x and y is 0 degrees, which means that they are parallel to each other.

Thus, we can conclude that vectors x and y are parallel and in the same direction.



Given the magnitudes of vectors x and y and their dot product, we can determine their relationship and direction. The dot product is the product of their magnitudes and the cosine of the angle between them. Using this formula, we found that the angle between vectors x and y is 0 degrees, indicating that they are parallel to each other. Therefore, we can conclude that vectors x and y are parallel and in the same direction. This information can be useful in various mathematical and physical applications, such as determining the force required to move an object in a particular direction.



In conclusion, the dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction. This information can be useful in various mathematical and physical applications.

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Answer:

1 14/15

Step-by-step explanation:

Change 3 2/3 into an improper fraction, which is 11/3. When multiplying fractions, you can multiply straight across, so 11*4= 44 and 3*5 equals 15. 44/15 as a mixed fraction is 1 14/15

Answer:

20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol

The elimination method is a method of solving systems of equations that involves adding or subtracting equations to eliminate one of the variables. When using the elimination method, it is essential to remember that the goal is to obtain an equation in which one of the variables has been eliminated.

For example, consider the following system of equations:

x + y = 3   (1)

x − y = 1   (2)

To eliminate y from these equations, we add equations (1) and (2):

x + y + x − y = 3 + 1

⇒ 2x = 4

⇒ x = 2

Now that we know x = 2, we can substitute this value into equation (1) to obtain y:

y = 3 − x

 = 3 − 2

 = 1

Now we have the solution to the system of equations: (x, y) = (2, 1).

Now, let's solve the given system of equations by combining the equations:

1. -2x - y = -5     (-1)

-2x - y = -5   (−1)

2x + y = 5       (2)

3x - 4y = -42

We can add the equations to eliminate y:

2x + y = 5   (3)

3x - 4y = -42   (4)

Now multiply equation (3) by 4:

4(2x + y = 5) ⇒ 8x + 4y = 20   (5)

Add equations (4) and (5) to eliminate y:

3x - 4y + 8x + 4y = -42 + 20

⇒ 11x = -22

⇒ x = -2

Substitute x = -2 into equation (3) to solve for y:

2x + y = 5

2(-2) + y = 5

⇒ y = 9

Now we have the solution to the system of equations: (x, y) = (-2, 9).

Therefore, the solution to the given system of equations is (-2, 9).

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A 120° angle and the side lengths can form more than one unique triangles

Malik's claim about the triangle is true

From the question, we have Malik's claim to be:

A 120° angle and side lengths of 3 cm and 4 cm can form more than one unique triangle

The above claim is true;

This is so because, the 120 degrees angle can be between the side lengths of 3 cm and 4 cm and the angle can be located not between the side lengths

This means that there are at least two unique triangles that can be formed using the given parameters

Hence, Malik's claim about the triangle is true

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The most precise description of the shape ABDC is (a) Rectangle.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°).

A rectangle's characteristics are as follows:

There are 4 corners, 4 angles, and 4 sides (vertices).

There are two dimensions to it: length and width.

A rectangle has 90° angles on each side.

The opposing sides are parallel and equal.

It features two equal-length diagonals.

Given that, Line L is parallel to Line M, Points A and B are on Line L and Points C and D are on Line M.

So that AB║CD

Segment AC is perpendicular to line L, So AC is also perpendicular to line M.

So that ∠A and ∠C are right angle.

and Segment AC is parallel to BD.

So that BD is also perpendicular to line L and line M.

So that ∠B and ∠D are right angle.

So that we concluded that the shape ABDC is rectangle.

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Answer:

50%

Step-by-step explanation:

35/70 is .5 as a fracion. multiple .5 by 100 to get your percentage.

Answer:

50%

Step-by-step explanation:

Step 1: 15 + 30 + 5 + 20 = 70

Step 2: 15 + 20 = 35

35/70

Step 3: 35 ÷ 70 = 0.5

Step 4: 0.5 x 100 = 50

50%

If y follows a chi-squared distribution with v = 10, then its expected value and variance are given by: E(y) = v = 10, Var(y) = 2v = 20. The probability that X^2 exceeds 6.737 is approximately 0.4238.

Now, let X = √y. Then X follows a chi distribution with v = 10 degrees of freedom. We have:

E(X) = E(√y) = √E(y) = √10

Var(X) = Var(√y) = 1/4 Var(y) = 5

To find P(X^2 > 6.737), we can use the definition of the chi-squared distribution. We have:

P(X^2 > 6.737) = P(X > √6.737) + P(X < -√6.737)

The chi distribution is symmetric, so P(X < -√6.737) = P(X > √6.737). Therefore,

P(X^2 > 6.737) = 2P(X > √6.737)

We can standardize X by subtracting its mean and dividing by its standard deviation:

Z = (X - √10) / √5

Then,

P(X > √6.737) = P(Z > (√6.737 - √10) / √5)

Using a standard normal table or calculator, we find that:

P(Z > 0.798) = 0.2119

Therefore,

P(X^2 > 6.737) = 2P(X > √6.737) = 2(0.2119) = 0.4238

So the probability that X^2 exceeds 6.737 is approximately 0.4238.

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Answer:

0.375

Step-by-step explanation:

lololololollolollo

Answer:

0.375

Step-by-step explanation:

hope it helps <3

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Answer:

“I should not have to turn the water off while I brush my teeth.”

Step-by-step explanation:

A claim is a statement that expresses the main idea or position of an argument. A claim is usually supported by reasons and evidence to persuade the audience to accept it. A claim can also be challenged or refuted by counterclaims and counterarguments.

To find the claim in the passage, you need to look for the statement that expresses the author’s main idea or position on the topic of turning off the water while brushing teeth. The claim is usually found at the beginning or the end of the passage, but it can also be implied or repeated throughout. In this case, the claim is found at the beginning of the passage:

“I should not have to turn the water off while I brush my teeth.”

This is the claim because it expresses the author’s main idea or position on the topic. The rest of the passage provides reasons and evidence to support this claim, such as hating to brush teeth, finding it annoying to turn off the water, and being only one person who cannot waste much water. These reasons and evidence may not be very convincing or valid, but they still serve to support the claim.

So, the claim in the passage is I should not have to turn the water off while I brush my teeth.

Answer:

no entendi ni vergassss jejejej

Step-by-step explanation:

The answer to the expression as a whole or mixed number would be 7 / 8.

When given a problem to solve such as 2 ¹ / ₃ x 2 ¹ / ₂ x 1 / 4, the first thing to do is to convert the mixed fractions to improper fractions.

2 ¹ / ₃ converted is :

= ( ( 2 x 3 ) + 1 ) / 3

= ( 6 + 1 ) / 3

= 7 / 3

2 ¹ / ₂ converted :

= ( ( 2 x 1 ) + 1 ) / 2

= ( 2 + 1 ) / 2

= 3 / 2

The answer to the expression is:

= 7 / 3 x 3 / 2 x 1 / 4

= 21 / 24

= ( 21 / 3 ) / ( 24 / 3 )

= 7 / 8

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The full question is:

Multiply. Write your answer as a fraction or as a whole or mixed number.

2  ¹ / ₃ x 2 ¹ / ₂ x 1 / 4 =

Answer:

2.

Step-by-step explanation:

There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.

Answer:

A is correct

3.75x 1^5 is also written as 375000

Divide 375000 by 75 and u get 5, 000

5 times 10^3 is also 5000

therefore A is correct

Step-by-step explanation:

Answer:

5000 or A. 5 x \(10^{3}\)

Step-by-step explanation:

3.75 x \(10^{5}\) = 375000

375000/75 = 5000

The equation for given exponential function is

\(\rm y = (18c - c^{2} + 280)/(20 - c)^{x} + c.\)

An asymptοte is a vertical οr hοrizοntal line that a curve apprοaches but never tοuches. Asymptοtes are cοmmοnly fοund in graphs οf mathematical functiοns, and they can be vertical, hοrizοntal, οr οblique (slanted). Hοrizοntal asymptοtes οccur when a functiοn apprοaches a cοnstant value as the input (usually x) becοmes very large οr very small. Vertical asymptοtes οccur when a functiοn becοmes infinitely large οr infinitely small as the input apprοaches a certain value.

The general form of an exponential function is:

\(\rm y = a b^{x} + c\)

where b is the base of the exponential function, a is a vertical shift or displacement, and c is a horizontal shift.

To find the specific equation for the exponential function that passes through the points (1,20) and (3,38), we need to use these points to solve for a, b, and c. We also know that the function has a horizontal asymptote of y=14, which means that as x approaches infinity, y approaches 14.

Using the point (1,20):

\(\rm 20 = a b^{1} + c\)

Using the point (3,38):

\(\rm 38 = a b^{3} + c\)

We can use these equations to solve for a and b in terms of c:

20 - c = a b

\(\rm 38 - c = a b^{3}\)

now, Dividing the second equation by the first equation gives:

\(\rm (38 - c)/(20 - c) = b^{2}\)

finally, Taking the square root of both sides gives:

\(\rm b = \sqrt{(38 - c)/(20 - c))\)

Now we can substitute this expression for b into one of the original equations to solve for a and c. Using the first equation:

\(\rm 20 = a b^{1} + c\)

\(\rm 20 = a \sqrt{(38 - c)/(20 - c)} + c\)

Simplifying this equation gives:

\(\rm a = (20 - c) / (\sqrt{(38 - c)/(20 - c)})\)

Now we can substitute our expressions for a and b into the general form of the exponential function:

\(\rm y = a b^{x} + c\)

\(\rm y = [(20 - c) / (\sqrt{(38 - c)/(20 - c)})] \times [\sqrt{(38 - c)/(20 - c)}]^{x} + c\)

y = (20 - c) * (38 - c)/(20 - c)^{x} + c

Simplifying this expression gives the final equation:

\(\rm y = (18c - c^{2} + 280)/(20 - c)^{x} + c\)

So the equation for the exponential function that passes through the points (1,20) and (3,38), with a horizontal asymptote of y=14, is:

\(\rm y = (18c - c^{2} + 280)/(20 - c)^{x} + c\)

where c is approximately 2.36.

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