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Answer:

h = V / πr²

Step-by-step explanation:

V = πr²h

Where,

V = volume of a cylinder

π = π

r = radius of the cylinder

h = height of the cylinder

V = πr²h

Solve for h

V = π × r² × h

Divide both sides by π × r²

h = V / π × r²

h = V / πr²

Height of the cylinder = volume of the cylinder / pie × r²

Answer:

ok

Step-by-step explanation:

Step-by-step explanation:

okay thanks......,......

Answer:

done by a calculator =w=

Answer:

6498.............................

6498.

To solve the given equation:

\(3099+3399\)

You have to add to get your answer.

A picture is given below solved on paper.

The exact value of secsin^−1 7/11 is 11/√(120)

Given that a surveyor has taken the measurements shown, and we are to find the distance across the lake:

We are given two sides of the right-angled triangle.

So, we can use the Pythagorean theorem to find the length of the third side.

Distance across the lake = c = ?

From the right triangle ABC, we have:

AB² + BC² = AC²

Here, AB = 64 m and BC = 45 m

By substituting the given values,

we get:

64² + 45² = AC² 4096 + 2025

                = AC²6121

                = AC²

On taking the square root on both sides, we get:

AC = √(6121) m

     ≈ 78.18 m

Therefore, the distance across the lake is approximately 78.18 m.

Applying trigonometry:

Since we know that

sec(θ) = hypotenuse/adjacent and sin(θ) = opposite/hypotenuse

Here, we have to find sec(sin⁻¹(7/11)) = ?

Then sin(θ) = 7/11

Since sin(θ) = opposite/hypotenuse,

we have the opposite = 7 and hypotenuse = 11

Applying Pythagorean theorem, we get the adjacent = √(11² - 7²)

                                                                                        = √(120)sec(θ)

                                                                                        = hypotenuse/adjacent

                                                                                        = 11/√(120)

Therefore, sec(sin⁻¹(7/11)) = 11/√(120)

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Answer:

Cost of loaf of bread in 1983 is 90 cents

Step-by-step explanation:

Mathematically;

CPI = Cost of market in given year/cost of market in base year * 100

From the question,

CPI = 323

cost of market in given year =2.89

cost of market in base year = ?

323 = 2.89/c * 100

323c = 289

c = 289/323

c = 0.8947

which is approximately 90 cents

The easiest way to solve this problem is to substract 2π from the angle until we get an angle that is less than 2π.

13/3π is not less than 2π, so we have to substract 2π once more:

7/3π is still not less than 2π, substract 2π once more:

1/3π is less than 2π. It means that the positive angle less than 2π that is coterminal with 19/3π is 1/3π.

To determine the number of offspring with skin darker than their parents, we need more information about the specific genetic inheritance patterns and traits involved.

The answer depends on factors such as the dominance or recessiveness of genes controlling skin color, the genotype of the parents, and the specific combination of alleles passed on to the offspring.

Without additional information, it is not possible to provide an accurate count of the number of offspring with darker skin. Genetic inheritance is a complex process that involves multiple genes and interactions, making it necessary to consider specific genetic traits and their inheritance patterns to determine the outcome.

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There is only 1 way for Jackson to deliver the plants

First, determine the number of plants that Jackson should deliver to each gift shop and nursery. To do this, divide the total number of plants by the number of gift shops and nurseries. That is:

32 / 8 = 4 plants per shop or nursery.

Next,  determine the number of ways Jackson can deliver the plants. Since he wants to deliver the same number of plants to each shop or nursery, he has only one way to deliver the plants to each shop or nursery. Therefore, the total number of ways Jackson can deliver the plants is 1 x 1 x 1 x 1 = 1.

Here is a table showing the number of plants and the number of ways Jackson can deliver them to each gift shop and nursery:

Gift Shop/Nursery Number of Plants Number of Ways

Gift Shop 1                  4                             1

Gift Shop 2                  4                             1

Gift Shop 3                  4                             1

Gift Shop 4                  4                             1

Nursery 1                     4                             1

Nursery 2                    4                             1

Nursery 3                    4                             1

Nursery 4                    4                             1

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Sample Response:  Label axes according to input and output variables. Plot the ordered pair of the independent and dependent variable on the coordinate plane. Identify if there is a relationship between the variables.

Answer:

Sample Response:  Label axes according to input and output variables. Plot the ordered pair of the independent and dependent variable on the coordinate plane. Identify if there is a relationship between the variables.

Step-by-step explanation:

Answer:

slope is zero

Step-by-step explanation:

This is a horizontal line parallel to the x- axis

Since the slope of the x- axis is zero then the slope of the line is zero

Answer:

its slope is zero

Step-by-step explanation:

the slope of a line is simply the ratio between y- and x-change from one point of the line to another.

you can express it as y/x.

e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).

now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.

so, 0 change in y.

and the slope is 0/"delta x" for "delta x">0

all that means the slope is 0, as 0 divided by anything is always 0.

the function for that line is therefore

y = 0×x + 2.5 or simply

y = 2.5

and the factor of x (in this case 0) is always the slope of the line.

The data set represented by this plot is: 16, 22, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72.


The given stem and leaf plot shows the number of students at the local recreational center each day at PM.

The stem represents the tens digit of the number of students, while the leaf represents the one's digit.

For example, the first stem and leaf pair "1; 6" represents 16 students.

To determine the data set represented by this plot, we need to combine the stem and leaf values.

We can write each data point as a two-digit number, where the first digit is the stem and the second digit is the leaf.

Then, we list all the data points in ascending order.

1. 16
2. 22, 25, 26, 26, 26
3. 34, 35, 39
4. 42, 42
5. 50
6. (no data)
7. 72

Therefore, the data set represented by this plot is:
16, 22, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72.

We can use this data set to analyze the number of students at the local recreational center each day at PM.

For example, we can calculate the mean, median, and mode to describe the central tendency of the data.

We can also create a histogram or frequency table to visualize the distribution of the data.

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Answer: 400 feet, 4800 inches

Step-by-step explanation: i believe it is 400 feet because if you calculate the area of the first strip you would get 14400 in INCHES. you already know one dimension of the next strip, 3 inches so divide 14400 by 3 because we now know a gallon can paint 14400 inches. then u get 4800 inches, divided by twelve gives you the feet! so the answer is 400 i think

sorry if my answer was really confusing

Answer:

400 feet

Step-by-step explanation:

First we need to find out how much surface area a gallon of paint can cover.

We also need to make sure we're using the same units.

4 inches × 300 feet = a gallon of paint

1 foot = 12 inches

300 feet = (12 × 300) 3600 inches

4 inches × 3600 inches = 14,400 inches² = 1 gallon of paint

If the strip is reduced down to 3 inches, how long will the strip be?

We can now form an equation. 14,400 inches is the total, 3 inches is a known variable and the length of the strip is unknown.

Let the unknown be x

3 × x = 14,400

x = 14,400 inches² ÷ 3 inches

x = 4800 inches

We should now change this back to feet by dividing 4800 inches by 12

4800 ÷ 12 = 400 feet

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:31.2

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

To achieve a 95% margin of error less than 5%, we need a sample size of at least  385 residents.

To determine the sample size needed for a 95% margin of error less than 5%, we can use the formula for sample size calculation in survey research. The formula is given by:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)

p is the estimated proportion of the population with the characteristic of interest (since we don't have an estimate, we can assume p = 0.5 to get a conservative estimate)

E is the desired margin of error (in decimal form, so 5% becomes 0.05)

Substituting the values into the formula:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.05^2

n ≈ 384.16

Since the sample size must be a whole number, we round up to the nearest integer:

n = 385

Therefore, we would need to survey at least 385 randomly sampled residents to achieve a 95% margin of error less than 5%.

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Answer: y=-6/7x

you are very welcome :)

the lateral area of the given regular prism is 100 square centimeters.

Given:

Base of the prism is a square with a side of 2 cm.

Height of the prism is 125 mm.

First, let's convert the height to centimeters since the base side length is given in centimeters:

125 mm = 12.5 cm (as there are 10 mm in 1 cm).

The lateral area of a prism can be calculated by multiplying the perimeter of the base by the height. Since the base of the prism is a square, the perimeter is given by 4 times the length of one side.

Perimeter of the base = 4 * side length

Substituting the given side length:

Perimeter of the base = 4 * 2 cm = 8 cm

Now, we can calculate the lateral area:

Lateral area = Perimeter of the base * Height

Lateral area = 8 cm * 12.5 cm

Lateral area = 100 cm²

Therefore, the lateral area of the given regular prism is 100 square centimeters.

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Given,

out of 402 students 24%have attended a different school at some time before.

= 402×24

1 100

= 201×24

1 50

= 201×12

1 25

=2412

25

=96.48

Answer:

The correct option is;

C: 10.5 inches

Step-by-step explanation:

In triangle ΔPQR the given parameters are;

The length of \(\overline {QP}\) = 19.5 in.

The length of \(\overline {QR}\) = 7.5 in.

In triangle ΔVWX, the given parameters are;

The length of \(\overline {WV}\) = 13 in.

The length of \(\overline {WX}\) = 5 in.

The length of \(\overline {VX}\) = 7 in.

Given that we have;

\(\dfrac{\overline {QP}}{\overline {WV}} = \dfrac{19.5}{13} = 1.5 , \ \dfrac{\overline {QR}}{\overline {WX}} = \dfrac{7.5}{5} = 1.5\)

The ratio of the corresponding sides of triangle ΔPQR and triangle ΔVWX are equal, therefore ΔPQR is similar to ΔVWX, from which we have for the corresponding sides, \(\overline {PR}\) and \(\overline {VX}\);

\(\dfrac{\overline {PR}}{\overline {WV}} = \dfrac{\overline {PR}}{\overline {7}} = 1.5\)

∴ \(\overline {PR}\) = 7 × 1.5 = 10.5

The length of \(\overline {PR}\) = 10.5 inches

Answer:

2(w-2) = 9

Step-by-step explanation:

Check:

2w - 4 = 9

2w = 13

w = 6.5

2(6.5 - 2) = 9

2(4.5) = 9

9 = 9

The slope of the line represents that the a distance of 55 miles is covered each hour

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the distance in miles covered in x hours.

Using points (2, 110) and (7, 385) from the table:

\(slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55\)

Therefore the slope of the line represents that the a distance of 55 miles is covered each hour

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The number of unit cubes it would take to completely fill the prism with no gaps between unit cubes is 72

From the question, we are to determine how many unit cubes it would take to completely fill the prism with no gaps between unit cubes.

To do this, we will calculate the volume of rectangular prism

Assuming each cube is 1 cubic unit

Then,

From the top view,

The length of the rectangular prism = 9 units

The width of the rectangular prism = 2 units

From the Right-side view,

The height of the rectangular prism = 4 units

Thus,

The volume of the rectangular prism = 9 × 2 × 4

Volume of the rectangular prism = 72 cubic units

Now,

Number of cubes required to fill the rectangular prism = Volume of the prism / Volume of the cubes

Number of cubes required to fill the rectangular prims = 72 / 1

Number of cubes required to fill the rectangular prims = 72

Hence, the number of unit cubes it would take is 72

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The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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The equilibrium quantity is approximately 2.92 hundred T-shirts.

To find the equilibrium quantity, we need to set the supply and demand equations equal to each other and solve for q.

The supply equation is \(p = 0.7q + 3\), where p is the price in dollars and q is the quantity in hundreds.

The demand equation is \(p = -1.7q + 10\).

Setting them equal, we get \(0.7q + 3 = -1.7q + 10\).

To solve for q, we can simplify the equation by adding 1.7q to both sides: \(2.4q + 3 = 10\).

Then, subtracting 3 from both sides gives us \(2.4q = 7\).

Finally, dividing both sides by 2.4 gives us \(q \approx 2.92\).

Therefore, the equilibrium quantity is approximately 2.92 hundred T-shirts.

Please note that the actual quantity might not be exactly 2.92 hundred T-shirts due to rounding. Also, keep in mind that this is a hypothetical scenario and may not reflect real-world market dynamics.

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Answer:

Im assuming you solve 17x plus 11 then add 18x +4.

Step-by-step explanation: