What is the answers to Part A, B, and C ?

Answer:

B. √6900

Step-by-step explanation:

The square length of hypotenuse is equal to sum of square length of two legs let x  represent the other leg

130^2 = 100^2 + x^2

16900 = 10000 + x^2 subtract 10000 from both sides

6900 = x^2 find the root for both sides

x = √6900

Answer:

i think its

\(P(x) = i ^{3}\)

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

To convert gallons to pints, we need to multiply the number of gallons by 8 (because 1 gallon equals 8 pints). Therefore:

275 gallons * 8 pints/gallon = 2,200 pints

So 275 gallons of melted cheese is equivalent to 2,200 pints.

\(42 - 42 \times 15\%\)

\( =42 - 42 \times \frac{15}{100} \)

\( =42 - 21 \times \frac{15}{50} \)

\( =42 - \frac{315}{50} \)

\( = 42 - 6 \: \frac{15}{50} \)

\( = 41 \: \frac{50}{50} - 6 \: \frac{15}{50} \)

\( = 35 \: \frac{35}{50} \)

\( = 35.70\)

The family did spend $35.70 on the meal after the coupon

\(35.70 + 42 \times 20\%\)

\( = 35.70 + 42 \times 0.2\)

\( = 35.70 + 8.4\)

\( = 44.10\)

The family did spend $44.10 on the meal in total.

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The value of n that satisfies the given polynomial expression is 10

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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The length of the real life plane is 8000 centimetres.

The scale model as a ratio is  1:2000.

A model of a plane has a length of  4 cm. The real life plane has a model of 80 m.

The length of the real life plane in centimetres is as follows:

1 metre = 100 centimetres

80 metres = ?

cross multiply

length of the real life plane in cm = 80 × 100

length of the real life plane in cm = 8000 centimetres

The scale model can be calculated as follows;

scale model = 4 / 8000

scale model = 1 / 2000 = 1:2000

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Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

Answer:

You will need _5_ canisters ......

Step-by-step explanation:

How do you calculate servings per container?

Image result for Serving Size 1/3 cup ( 30g) Servings per Container about 14 Amount Per Serving Calories 110 Calories from Fat 15 Daily Value Total Fat

You simply divide the container size by the serving size. If your container holds 2-5 servings you must round to the nearest half serving. If the your container holds 5 or more you can round to the nearest whole serving.

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Answer:

A is the most appropriate answer.

Step-by-step explanation:

if the fact that A occurs does not affect the probability or possibility of B occurring.

Answer:

Therefore, area is 50.24

Step-by-step explanation:

⇒ Area = \( \sf \pi {r}^2 \)

Radius = 4

⇒Area = 3.14 × 4²

⇒Area = 50.24

​

The answer:= 12π

​

I got this on khan academy.

To answer this questions we have to remember the formula for the relfection across the axis.

A reflection across the x-axis is given by:

A relfection across the y-axis is given by:

With this in mind let's find the vertex of our rectangle.

The first vertex is the point (3,-5)

The second vertex is obtained by reflecting the first one acroos the x-axis:

Then, the second vertex is (3,5).

The third vertex is obtained by reflecting the second one across the y-axis:

Then, the third vertex is (-3,5).

Finally, the last vertex is obtained by reflecting the third one across the x-axis:

Therefore, the vertexes of our rectangle are (3,-5) (3,5) (-3,5) and (-3,-5).

To have a better understanding of the problem let's plot them in the plane

From the graph we notice that the length of the rectangle is 10 and the width is 6. We know that the perimeter of a rectangle is:

Then, we have:

Therefore, the perimeter of the rectangle is 32 units.

Answer:

8^2

Step-by-step explanation:

here's your solution

=> (8^7*8^4)8^9

=> in multiplication if base are same power added and in division if base same power minus

=> (8^11)/8^9

=> 8^2

hope it helps

Answer:

first: Definitions

mean: the average or the most common value in a collection of numbers

(So u add all numbers and then divide the answer by how much numbers there were)

median: Is middle value.

(example:   4, 5, 6) (The median will be the middle which is 5) (But if there are even amount of numbers like this:      4, 5, 6, 7) (Then you will get the two middle numbers which in this case are 5 and 6 you add them and then divide by 2.)

standard deviation:  measures the spread of the data about the mean value

Step-by-step explanation:

Now lets get to problem!

we have numbers:

24, 20, 16, 18, 18, 26, 22

the mean will be: 144 (remember now you have to divide by 7 because there are 7 numbers.)

So it would be 20.57

Now the median:

(Since there are 7 numbers you just find the number in the middle and that would be ur median.)

24, 20, 16, 18, 18, 26, 22

median answer: 18

Like we said: The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

So the standard deviation will be: 3.6

I hope this helps  :)

The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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Answer: E

Step-by-step explanation:

Answer:

It would be Unlikely

Step-by-step explanation:

(a) The change of basis matrix S is, S = [1 0 0; 0 1 0; 0 0 1]

(b) The formula SB = AS for the matrices B and A is verified.

(c) The change of basis matrix from A to B is:

T = B^-1 A = [1 1 0; 0 1 1; 0 0 1] [1 0 0; 0 1 0; 0 0 1] = [1 0 0; 1 1 0; 0 0 1]

To find the change of basis matrix S from B to the standard basis B' of P2, we first need to express each vector in B as a linear combination of the vectors in B',

(1-t) = 1(1) + 0(t) + 0(t^2)

(1+t) = 0(1) + 1(t) + 0(t^2)

(1+t^2) = 0(1) + 0(t) + 1(t^2)

Therefore, the change of basis matrix S is:

S = [1 0 0; 0 1 0; 0 0 1]

To verify the formula SB = AS, we need to calculate the matrices B and A using the bases B and B' respectively:

B = [1 -1 0; 0 1 1; 0 0 1]

A = [1 0 0; 0 1 0; 0 0 1]

Then, we calculate SB and AS and verify that they are equal:

SB = [1 -1 0; 0 1 1; 0 0 1] [1 0 0; 0 1 0; 0 0 1] = [1 -1 0; 0 1 1; 0 0 1] = B

AS = [1 0 0; 0 1 0; 0 0 1] [1 -1 0; 0 1 1; 0 0 1] = [1 -1 0; 0 1 1; 0 0 1] = B

Therefore, SB = AS = B.

To find the change of basis matrix from A to B, we use the formula:

T = B^-1 A

where B^-1 is the inverse of the matrix B. From part (b),

B = [1 -1 0; 0 1 1; 0 0 1]

The inverse of B is:

B^-1 = [1 1 0; 0 1 1; 0 0 1]

Therefore, the change of basis matrix from A to B is:

T = B^-1 A = [1 1 0; 0 1 1; 0 0 1] [1 0 0; 0 1 0; 0 0 1] = [1 0 0; 1 1 0; 0 0 1]

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Answer:

y > 0

Step-by-step explanation:

\(y = e^{4x}\)

This is an exponential function;

Consider as x → ∞, y → ∞;

If x = 0. y = e⁰ = 1;

As x → -∞, y → 0;

y ranges from 0 to ∞ therefore, i.e. y > 0

Amplitude is the maximum displacement of a function on a graph.

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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one negative two and then shifted to the rights, that's the translation to the right two units.

What is the sequence of transformation?

its  a 180 Degree Rotation.

And let's see With a 180 degree rotation.

, we can say  coordinates is that  X. Y. Two negative X. Negative Y.

It goes to one negative two and he goes to two negative five And c goes to 5 -2.

So if  one negative two and then shifted to the rights, that's the translation to the right two units.

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Answer:

what population census

Answer:

I believe its 42

Step-by-step explanation:

Here is the final answer. Let me know if it help!

Answer:

Step-by-step explanation:

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

A. All atoms of the same elements are identical

Step-by-step explanation:

Two atoms of the same chemical element are typically not identical. They can be different if their electrons are in different states,

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer:

12593

Step-by-step explanation:

tell me if this hepls

Ur should be noted that Kathy Lehner owes approximately $1,311.97.

Previous balance (10/1): $1,164

Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.

Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.

Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.

Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.

Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.

Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).

Finally, to determine the total amount owed, we add the balance and the interest:

Total amount owed: $1,305 + $6.97 = $1,311.97

Therefore, Kathy Lehner owes approximately $1,311.97.

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