need help please question in the box

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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The balance after 2 years is $318.27

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P{(1 +\frac{r}{n})^{nt}\)

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

\(A=300{(1 +\frac{0.03}{1})^{1(2)}\)

A=300(1.003)² = 318.27

The balance after 2 years is $318.27

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The intersection of equations y=2x-2 and y= -2x^2 +4x+ 3 is y = 3

The general formula for the equation of a line is expressed as;

y = mx + c

Where the parameters are;

From the information given, we have the equation of the lines as;

Now, equate the lines, we have;

2x - 2 = -2x² + 5x + 3

collect the like terms

2x -5x + 2x² - 2 - 3 = 0

add the iike terms

2x² -3x - 5 = 0

Factorize the quadratic equation

2x² - 5x + 2x - 5 = 0

Group in pairs

(2x² - 5x) + (2x-5) = 0

x(2x -5) + 1(2x - 5) = 0

The intersection for when  x = 5/2

y = 2x - 2

y = 2(5/2) - 2

y = 3

Hence, the value is 3

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The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

f(-2)=(1-3×-2)

f(-2)=1+6

f(-2)=7 ans

As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Systematic random sampling is used when selecting every nth item from a list of items. In this example, every 49th student starting with the 3rd student is selected.

In systematic random sampling, a list of items is created and every nth item is selected for the sample. This technique is useful when selecting a representative sample from a large population of items. In the example given, 496 students were listed and every 49th student starting from the 3rd student was selected. This is a systematic random sampling technique because the items were selected in a systematic and random fashion. The selection of every 49th student starting from the 3rd student ensures that the sample is representative of the population while also randomizing it so that all students have an equal chance of being selected.

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Answer:

£135

Step-by-step explanation:

£90 + £45

2:1

hope its correct and helped:)))))))))

Answer:

135

Step-by-step explanation:

The correct answers are:

To find the difference between two numbers, you simply subtract the smaller number from the larger number. Here are the steps:

For example, let's find the difference between 8 and 3:

Identify the larger number and the smaller number. In this case, 8 is the larger number and 3 is the smaller number.

Subtract the smaller number from the larger number:

8 - 3 = 5

The difference between 8 and 3 is 5.

So in general, the formula for finding the difference between two numbers, x and y, is:

x - y = difference

Where "difference" is the result of subtracting y from x.

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Answer:

makes no sense

Step-by-step explanation:

Answer: \(\frac{-2+\sqrt{10}}{3}\)

Step-by-step explanation:

9514 1404 393

Answer:

  13 nickels

Step-by-step explanation:

Let n represent the number of nickels Bob has. Then 18-n is the number of dimes, and the total value (in cents) is ...

  5n +10(18-n) = 115

  -5n +180 = 115 . . . simplify

  65 = 5n . . . . . add 5n-115

  13 = n . . . . . . . divide by 5

Bob has 13 nickels.

Answer:

well... if we don't know how many dimes then we can only guess how many nickels... since it is nickelS AND dimeS, it could be anything from 14 nickels and 2 dimes to 2 nickels and 17 dimes

Step-by-step explanation:

Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

It is possible that the statement is a) true, but it depends on the specific differential equation in question (as the equation is not mentioned here is a general approach)

For some differential equations, it may be the case that the solutions behave in a certain way for large values of the independent variable. For example, the solutions may approach a particular value or exhibit some kind of oscillatory behavior. In such cases, it can be useful to study the behavior of the solutions as the independent variable gets large.

On the other hand, there may be differential equations for which the behavior of the solutions for large values of the independent variable is not particularly interesting or informative. In those cases, it may not be useful to consider how the solutions behave for large values.

So, the statement is not universally true, and its validity depends on the specific differential equation being considered.

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Answer:

\( \fbox{B. = −17 }\)

Step-by-step explanation:

Hope It's Helps``

Answer:

2, 3 and 7,8

Step-by-step explanation:

Answer:

5+(2)*(sq root 6)

Step-by-step explanation:

This is pretty simple, a given is that the square root of 25 is 5, so you already have one of your numbers. Since the square root of 24 is not a perfect square, it must be reduced and then added separately to 5. The sq root of 24 is reduced to 2 multiplied by the square root of 6.

Answer:  \(5 + 2\sqrt{6}\)

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

Work Shown:

\(\sqrt{24}+\sqrt{25}\\\\\sqrt{25}+\sqrt{24}\\\\\sqrt{25}+\sqrt{4*6}\\\\\sqrt{25}+\sqrt{4}*\sqrt{6} \ \ \text{see note 1}\\\\\sqrt{5^2}+\sqrt{2^2}*\sqrt{6}\\\\5+2\sqrt{6} \ \ \text{see note 2}\\\\\)

----------

we have the following:

replacing, y = -4

therefore, the answer is 1

Answer:

3

Step-by-step explanation:

equate the two together to get the value of x

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1)  = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = \(0.06P+0.14P=1000\)

\(\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000\)

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

At the interest rate of 6%, amount invested is; $5000

At interest rate of 7%, amount invested is; $10000

Let P be the initial amount that Ms. Hagan invested in the 6% interest account that

Since she invested twice as much in the 7% interest account as in the 6% interest account, then;

Initial amount invested in the 7% interest account = 2P

Formula for Simple interest is;

I = Principal × rate × time

Interest after 1 year for the 6% interest account is,

I_1 = P × 0.06 × 1

I_1 = 0.06P

Interest after 1 year for the 7% interest account is,

I_2 = 2P × 0.07 × 1

I_2 = 0.14P

Total investment pays her $1000 after a year. Thus;

0.06P + 0.14P = 1000

0.2P = 1000

P = 1000/0.2

P = $5000

Then amount initially invested in the 7% interest account = 2P = $10000

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The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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A whole number is a number that has no fractional representation.

Let's test all the options for the value of x.

When dividing a fraction by another fraction, the divisor will be in its reciprocal form.

1. 3/4  × 2/3

= 6/12 = 1/2

1/2 isn't a whole number.

2. 3/4 × 2/1

= 6/4 = 3/2

3/2 isn't a whole number.

3. 3/4 × 6/1

= 18/4 = 9/2

9/2 isn't a whole number.

4. 3/4 × 8/1

= 24/4 = 6

6 is a whole number.

Hence the answer is 1/8.

Hope it helps. :)

Answer:

\(1\frac{1}{2}\) inches

Step-by-step explanation:

The shortest measurement is the smallest number with a x over it. In this case, the smallest one is \(1\frac{1}{2}\) inches.