The formula for the volume of a cylinder is V = gran.
Solve V = 872) for h, the height of the cylinder.
O A. =
nar
B. n =
O c. h =
Vr2
O D. h=
372

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Step-by-step explanation:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Answer:

Each banana would weigh ¼ of a pound

Step-by-step explanation:

If there are three bananas that all equal ¾ of a pound, then ¾÷3=¼

Answer:

c

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

2+7+4+4 = 17

Add all of the sides hence perimeter

calculate using unit squares

The person is approximately 4.37 km away from where she started.

To determine the distance from where the person started, we can use the Pythagorean theorem to calculate the straight-line distance between the starting point and the final position.

Given:

Distance traveled southwest = 1.75 km

Distance traveled east = 3.95 km

Using the Pythagorean theorem:

Distance from where she started = sqrt((1.75 km)^2 + (3.95 km)^2)

Distance from where she started ≈ sqrt(3.06 km^2 + 15.6 km^2)

Distance from where she started ≈ sqrt(18.66 km^2)

Distance from where she started ≈ 4.32 km

Therefore, the person is approximately 4.37 km away from where she started.

Explanation in more than 100 words:

To calculate the distance from where the person started, we can visualize their movements as a right-angled triangle. The southwest direction can be considered as the diagonal side of the triangle, and the east direction can be considered as the adjacent side of the triangle. The distance from where she started is the hypotenuse of this triangle.

Using the Pythagorean theorem, we can calculate the magnitude of the hypotenuse (distance from where she started) by squaring the lengths of the other two sides and taking the square root of their sum.

In this case, the distance traveled southwest is 1.75 km, and the distance traveled east is 3.95 km. We can square these values:

(1.75 km)^2 = 3.06 km^2

(3.95 km)^2 = 15.6 km^2

Adding these squared values:

3.06 km^2 + 15.6 km^2 = 18.66 km^2

Taking the square root of 18.66 km^2, we find:

sqrt(18.66 km^2) ≈ 4.32 km

Therefore, the person is approximately 4.37 km away from where she started. This means that after making the two turns and traveling a total distance of 5.7 km (1.75 km southwest + 3.95 km east), she is located approximately 4.37 km in a straight line from her starting point.

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Predicting an individual's annual income is generally easier than predicting the average annual income in a random sample.

This is because individual income is influenced by a combination of personal characteristics, whereas the average income in a random sample is influenced by a wider range of factors, including sample composition and variability.

Predicting an individual's annual income is typically easier due to several reasons. Firstly, individual income is often influenced by personal characteristics such as education, work experience, occupation, and skills, which can be relatively easier to measure and obtain data on. These variables provide important information that can be used to predict an individual's income level.

On the other hand, predicting the average annual income in a random sample is more challenging. The average income in a sample is influenced not only by individual characteristics but also by other factors such as the sample composition and the variability within the sample. The composition of the sample, including factors like age distribution, gender balance, and geographical location, can significantly affect the average income. Additionally, the variability within the sample, including differences in income levels and income distribution, can introduce additional uncertainty and make predictions less accurate.

Overall, while predicting an individual's annual income can be challenging, it is generally easier compared to predicting the average annual income in a random sample. Individual income is influenced by a narrower set of factors, making it more predictable, whereas the average income in a sample is influenced by a wider range of variables, introducing more complexity into the prediction process.

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Answer:

+2

Step-by-step explanation:

+ and - cancel. We have 5 + and 3 - so that leaves us with 2 + so the answer is +2.

Answer:

+++++ + --- = ++

Step-by-step explanation:

so 5+-3=+2

Answer:

-1.8,3

Step-by-step explanation:

This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.

looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).

Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:

\((6+\sqrt{576})/10\), this will result in 3, which is one of your values for x

the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!

Answer:

Inverse would be:

\(y = (\frac{1}{5}x + 3)^3 - 2\)

Hope this helps!

Answer:

\(\implies y =\dfrac{(x-3)^3+3}{5}\)

Step-by-step explanation:

Given :-

And we need to find out the inverse of the function. So for that replace x and y. We have ,

\(\implies \sqrt[3]{5x-3}+2\)

On interchanging x and y :-

\(\\\\\implies x = \sqrt[3]{5y-3}+2\)

Solve out for y :-

\(\implies x -2 =\sqrt[3]{5y-3}\\\\\implies (x-3)^3=5y-3 \\\\\implies 5y = (x-3)^3+3\\\\\implies y =\dfrac{(x-3)^3+3}{5}\)

Hence the inverse of the function is (x-3)³+3/5.

Answer:

9

Step-by-step explanation:

-3*-2 is 6+3 is 9

2 negatives equal a positive when multiplying or dividing

The answer fam is.....9

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Answer:

k = 4

Step-by-step explanation:

16k = 16(4) = 64 and

64 = 4 × 4 × 4

\(\sqrt[3]{64}\)

= \(\sqrt[3]{4^{3} }\)

= 4

The measure of angle ∠HKF is equal to 87°

A straight angle is that of 180° and is formed on a straight line.

Linear pair of angles are formed when two lines intersect with each other at a single point. The sum of angles of a linear pair is always equal to 180°.

In the given figure,

∠JKF + ∠GKF = 180° since they together form the straight line JG.

given that ∠JKF  = 135°

∠GKF = 180° - ∠JKF  = 180° -  135°  = 45°

Now,  ∠HKF =  ∠GKF +  ∠HKG

given, ∠HKG = 42°

and now we know that ∠GKF = 45°

So, ∠HKF = 87°

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Answer: D

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

(5+1)^2-(12+3^2)/3      Add 5 and 1 = 6.

6^2-12+3^2/3            Calculate 6 to the power of 2 =  36.

36-12+3^2/3              Calculate 3 to the power of 2  = 9.

36-12+9/3                  Add 12 and 9 =  21.

36-21/3                       Divide 21 by 3 =  7.

36−7                            Subtract 7 from 36 to get 29.

The number of marbles Ann had at the end is 54.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total marbles = 100

The number of marbles:

Marcy:

= 25% of 100

= 1/4 x 100

= 25

Roger:

= 21

Now,

The number of marbles:

Ann = 100 - (25 + 21) = 100 - 46 = 54

Thus,

Ann has 54 marbles at the end.

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To find the hole of a rational function, factor both the numerator and denominator and cancel out any common factors.

A rational function is a function that can be written as the ratio of two polynomial functions. A hole in a rational function occurs when both the numerator and denominator of the function have a common factor that can be cancelled out.

The resulting simplified function will have a hole at any value of x that would make the denominator zero after the common factors have been cancelled out.

This value of x is the x-coordinate of the hole. The y-coordinate of the hole can be found by evaluating the simplified function at this value of x. The hole represents a point on the graph of the function where it is undefined due to the cancellation of the common factors.

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Answer:

\(8x^2+6x-17\)

Step-by-step explanation:

All that we have to do is add the 3 and 5 so it's basically like combining like terms. So the first blank is 8.

Now we add the x and the 5x which is 6x, all we're doing is adding the x's.

Now we do add the two negative 10 and 7. So what is -10 + - 7 we add them normally but we'll still have the negative in front of them. So it's -17.

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

\(x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2} = \frac{1 \pm 9 }{-0.4}\)

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

The dilated quadrilateral, using center B and a scale factor of 1/2, is A'B'C'D'.

To dilate a quadrilateral ABCD using center B and a scale factor of 1/2, we can follow these steps:

Draw line segments from the center of dilation (B) to each vertex of the quadrilateral (A, C, and D).

Measure the distance from B to each vertex (AB, BC, BD) and multiply each distance by the scale factor (1/2).

From the endpoints of the original line segments, construct new line segments with the scaled distances obtained in the previous step.

Connect the endpoints of the newly constructed line segments to form the dilated quadrilateral A'B'C'D'.

The resulting quadrilateral A'B'C'D' will be a scaled-down version of the original quadrilateral ABCD, with center B as the center of dilation and a scale factor of 1/2.

Note: Since I am a text-based AI and cannot provide visual illustrations, it would be helpful to refer to a geometric software or draw the quadrilateral on paper to visualize the steps described above.

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Answer:20

Step-by-step explanation:

y=1/2x+10

1/2x=y-10

x=2y-20

y=2x-20

The correct option regarding the average rate of change for glass is given by:

c. From 1970 to 1980, the number of pounds of glass per person per day increased by 0.002 per year.

It is given by the change in the output divided by the change in the input.

Looking at the table, in the 10 years from 1970 to 1980, the amount of glass changed from 0.34 pounds to 0.36 pounds, hence the rate is given by:

r = (0.36 - 0.34)/10 = 0.02/10 = 0.002.

Which means that option c is correct.

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Answer:Option C

Step-by-step explanation: Just simplifying the other guys answer

the 165 different committees are possible in combination.

What is combination?

If the order of the selections is unimportant, a combination is a mathematical choice made from a collection of various elements (unlike permutations). An apple and a pear are just one of three conceivable combinations if three fruits, such as an orange, an apple, and a pear, are provided. A k-combination of a set S is, technically speaking, a subset of the k distinctive elements of S. Alternatively said, two combinations are identical if and only if they have the same members. (How each set's members are ordered is not crucial.) the number of k-combinations given a set of n elements

That would be equal to the Combinations of 11 items taken 3 at a time.

C(n , k) = n!/[k!(n - k)!]

= 11!/[3!*(11 - 3)!]

= 11!/(3!*8!)

= 11*10*9/3*2

= 15*11

=165

Hence the 165 different committees are possible in combination.

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a. The congruent angles to angle 1 are given as follows: <7, <3 and <5.

b. The supplementary angles to angle 1 are given as follows: <2, <8, <4 and <6.

Two angles are classified as congruent when they have the same angle measure.

Hence the congruent angles to angle 1 are given as follows:

Two angles are called supplementary when the sum of their measures is of 180º, hence the supplementary angles to angle 1 are given as follows:

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There  are no prime numbers between7,608 and 7,620

A prime number is a whole number greater than 1 whose only factors are 1 and itself

The numbers between 7608 and 7620 are:

7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619

Here we have to check these numbers are prime number or not

Prime factorization

7609=7×1087

7610=2×5×761

7611=3×43×59

7612=2×2×11×173

7613=23×331

7614=2×3×3×3×3×47

7615=5×1523

7616=2×2×2×2×2×2×7×17

7617=3×2539

7618=2×13×293

7619=19×401

Hence, proved that there are no prime numbers between7608 and 7620

The mean of the distribution of sample means is 56.7, and the standard deviation of the distribution of sample means is approximately equal to 4.82.

To calculate the mean of the distribution of sample means, we use the fact that the mean of a sample is an unbiased estimate of the population mean, and therefore the mean of the distribution of sample means is equal to the population mean. Thus, the mean of the distribution of sample means is 56.7.

To calculate the standard deviation of the distribution of sample means, we use the formula for the standard error of the mean, which is the population standard deviation divided by the square root of the sample size. Thus, the standard deviation of the distribution of sample means is equal to 75.9 divided by the square root of 246, which is approximately equal to 4.83.

Therefore, the mean of the distribution of sample means is 56.7, and the standard deviation of the distribution of sample means is approximately 4.83

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Answer:

Add 10 and 83

93=16

Step-by-step explanation: