Find the volume of the cylinder to the nearest tenth. d = 15 in 11 in​

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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The value of length of RP from the figure is 111.

From the given figure we can see that two circles.

For smaller circle,

the radius is = 11 units.

So, WQ = WV = WU = 11 [Since radii of same circle]

Now, VP = 50

So, WP = WV + VP = 11 + 50 = 61 units.

We know that the tangent at any point on circle is perpendicular to the radius of the circle passing through that point.

So, here triangle WPU is a right angled triangle with right angle at point U.

So, WP is the hypotenuse. So by Pythagoras theorem,

WP² = PU² + WU²

PU² = WP² - WU² = 61² - 11² = 3600

PU = 60 [Since length cannot be negative so we cannot take the negative result of square root.]

From the figure, TP = TU + PU = 51 + 60 = 111 units.

We also know that from an external point, if we draw two tangents to a circle then they are equal.

So, here from external point P we drew two tangents to the circle with center S and that are TP and RP.

So, RP = TP = 111.

Hence the value pf RP is 111.

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The question is incomplete. The complete question will be -

Answer:

The answer is 0.0228. Have a good day!

Answer:it’s 0.025

Step-by-step explanation:

Answer:

C. w = 4t

Step-by-step explanation:

Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).

Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.

We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)

The solution is, 32 of  1/4 cup servings are in 8 cups of cashews.

let,

x of  1/4 cup servings are in 8 cups of cashews.

Divide 8 with 1/4

i.e.

(8)/(1/4)

now, we have,

Flip the second fraction, and change the division into multiplication, then solve

we get,

(8)/(1/4)

= 8 x 4

= 32

so, x = 32

32 is the answer

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Answer:

y = -9x - 24

x = -27x - 84

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

36 DVDs is 180%.

36 divided by 180 is 0.2.

Multiply 0.2 by 100 to get how many DVD's she had last month...

0.2 x 100 = 20

The slope of the pattern A is 1/4

The equation of the pattern is y = 1/4x

It is important to note that the general equation of  a line is expressed as;

y = mx + c

Given that the parameters are;

From the graph shown, we have that the point where the line meets the y - axis is at point 0 which is the origin.

Also, the formula for calculating the slope of a line is expressed as;

Slope,  m = y₂ - y₁/x₂ - x₁

Now, substitute the values, we have;

Slope, m = 2 - 1/8 - 4

subtract the values, we get;

Slope, m = 1/4

The equation of the pattern A:

y = 1/4x

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The function df(x, y) = (y^2 - xy)dx - x^2 dy is an inexact differential.

To determine if a function is exact or inexact, we need to check if its partial derivatives with respect to x and y satisfy the condition ∂M/∂y = ∂N/∂x, where df(x, y) = M(x, y)dx + N(x, y)dy.

In this case, we have M(x, y) = y^2 - xy and N(x, y) = -x^2. Calculating the partial derivatives, we find:

∂M/∂y = 2y - x

∂N/∂x = -2x

Since ∂M/∂y is not equal to ∂N/∂x (2y - x ≠ -2x), the function df(x, y) = (y^2 - xy)dx - x^2 dy is inexact.

Next, we can test the integrating factor 1/(xy^2) to see if it produces an exact differential. The integrating factor is denoted by μ(x, y) and is given by μ(x, y) = e^(∫(∂M/∂y - ∂N/∂x)/N dx). If the resulting expression becomes an exact differential, the integrating factor is successful.

In this case, the integrating factor μ(x, y) = e^(∫(2y - x)/(-x^2) dx) = e^(-2y/x). However, integrating factor μ(x, y) does not produce an exact differential, and hence, it is not a suitable integrating factor for this function.

Lastly, the expression H(g) represents the enthalpy change of a substance g. The notation Hˉ∘(2000 K) - Hˉ∘(0 K) indicates the difference in enthalpy between the substance at 2000 Kelvin and 0 Kelvin. To calculate this difference, additional information or a specific equation relating enthalpy change to temperature is needed. Without further details, it is not possible to provide a numerical calculation for Hˉ∘(2000 K) - Hˉ∘(0 K) for H(g).

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Exponential growth on a logarithmic graph looks like a straight line. On a regular graph, the line would appear to be curved, but when plotted on a logarithmic graph, the line appears to be a straight line.

Exponential growth on a logarithmic graph appears as a straight line. This is because the logarithmic scale is a compressed scale, meaning that it takes a large range of values and compresses them into a smaller range. This makes the data easier to read and understand. The straight line occurs because the logarithmic scale is designed to fit the data points more closely, making the line appear linear. This is in contrast to the regular scale, where the line appears curved due to the large range of values being plotted. Thus, exponential growth appears as a straight line on a logarithmic graph.

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The answer is option B: $8,014,195.

We can use the formula for the future value of an annuity to solve this problem:

FV = PMT x [(1 + r)^n - 1] / r

Where:

PMT = $12,000 (annual payment)

r = 11.5% (annual interest rate)

n = 40 (number of years)

Plugging in the values, we get:

FV = $12,000 x [(1 + 0.115)^40 - 1] / 0.115

FV ≈ $8,014,195

Therefore, the answer is option B: $8,014,195.

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The probability of sample mean less than 3.1 pounds: 0.266. The correct option is C.

The weights of roasts are normally distributed with a mean of 3.2 pounds and a standard deviation of 0.8 pounds. In a sample of 25 roasts, we want to find the probability that the sample mean is less than 3.1 pounds.

First, we need to calculate the standard error of the mean, which is the standard deviation divided by the square root of the sample size:

Standard error = 0.8 / √25 = 0.8 / 5 = 0.16

Now, we need to calculate the z-score for the sample mean of 3.1 pounds:

Z = (Sample mean - Population mean) / Standard error = (3.1 - 3.2) / 0.16 = -0.1 / 0.16 = -0.625

Using a z-table or calculator, we find the probability associated with a z-score of -0.625:

P(Z < -0.625) ≈ 0.266

Therefore, the probability of the sample mean being less than 3.1 pounds is approximately 0.266, which corresponds to option C.

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Complete question:

The owner of a meat market has an assistant who has determined that the weights of roasts are normally distributed, with a mean of 3.2 pounds and a standard deviation of 0.8 pounds. For a sample of 25 roasts, what is the probability of sample mean less than 3.1 pounds?

a. 0.495

b. 0.450

c. 0.266

d. 0.521

Therefore ,opposing angles are those that are equal. All of the opposing sides are equal and parallel to one another. Quadrilateral , there are perpendicular divisions.

The two-dimensional shape known as a quadrilateral has four corners, four vertices, or four angles. The two most frequent shapes are convex and concave. Trapezoids, parallelograms, rectangles, rhombuses, and squares are only a few of the many subgroups of convex quadrilaterals.

Here,

example

An object is a quadrilateral if it has four sides, even if they are not all equal. Numerous objects, such as a tabletop, newspaper, photograph, door, baseball diamond, etc., are examples of this.

The trapezoid is one type of quadrilateral that is more challenging to locate in the actual world than others. Quadrilaterals come in a wide variety of sizes and shapes.

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Answer:

93

Step-by-step explanation:

Given that:

Brittany's Zscore = 1.8

Mean score (m) = 75

Standard deviation (s) = 10

Brittany's score (x) =?

Using the Zscore formula :

Zscore = (x - m) / s

1.8 = (x - 75) / 10

18 = x - 75

18 + 75 = x

93 = x

Hence, Brittany's score is 93

Answer:

oi caçula dj oferece fx ex dxexexexed3d3d3x4xt ni brx ex sy

Answer:

80/0% alloy pound copper most

Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

length=30.4inch and width=7.6inch

Step-by-step explanation:

L=4b and perimeter=76inch

we have,

p=76

or,2(l+b)=76

or,2(4b+b)=76

or,5b=76/2

or,b=38/5

so,b=7.6inches

then,

L=4b

=4*7.6

=30.4inces,,

Answer:

Step-by-step explanation:

One guest eats 5/6 pounds.

Divide the total amount of chocolate by this to find the number of guests:

Answer:

24 guests

Step-by-step explanation:

5/6 pound of chocolate is served to 1 guest

1 pound of chocolate is served to => 1/(5/6)

=> 1 × 6/5

=> 6/5

20 pounds of chocolate is served to

=> 20 × 6/5

=> 4 × 6

=> 24 guests

Answer:

2/x2+13/x+6=0

Step-by-step explanation:

2+13x+6x2=0

6x2+13x+2=0

6x2+12x+x+2=0

6x(x+2)+(x+2)=0

(x+2)(6x+1)=0

x=-2;-1/6

Answer:

A: y = -4/5x + 3/2 i believe is the correct answer

Step-by-step explanation:

The shortest direct distance between the two points is the distance of the straight line that joins them.Evidence: To find the distance between the two points, we can use the distance formula, which is as follows:d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.Substituting the given values in the formula, we get:d

= √[(9 - 12)² + (2 - 4)²]

= √[(-3)² + (-2)²]

= √(9 + 4)

= √13

Thus, the shortest direct distance between the two points is √13 miles.

Reasoning: Since it takes the rancher 10 minutes to travel one mile on horseback, he will take 10 × √13 ≈ 36.06 minutes to travel the entire distance between the two points. Rounding this off to the nearest minute, we get 36 minutes.

Therefore, the rancher will take approximately 36 minutes to travel the entire distance between the two points.

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a)  The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

b) The coordinates of the vertex are (0.75, -5.125).

c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

\(2x^2 - 3x - 5 = 0\)

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))

x = (3 ± √(9 + 40)) / 4

x = (3 ± √49) / 4

x = (3 ± 7) / 4

This gives us two possible solutions:

x1 = (3 + 7) / 4 = 10/4 = 2.5

x2 = (3 - 7) / 4 = -4/4 = -1

Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.

To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:

x = -(-3) / (2(2))

x = 3 / 4

x = 0.75

To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):

f(0.75) = 2(0.75)^2 - 3(0.75) - 5

f(0.75) = 2(0.5625) - 2.25 - 5

f(0.75) = 1.125 - 2.25 - 5

f(0.75) = -5.125

Therefore, the coordinates of the vertex are (0.75, -5.125).

Part C: To graph the function f(x), we can follow these steps:

Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).

Plot the vertex obtained in Part B: (0.75, -5.125).

Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.

Extend the curve to the left and right of the vertex, ensuring symmetry.

Label the axes and any other relevant points or features.

By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).

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Answer:

8 is a rational number, an integer, and a whole number.

Step-by-step explanation:

rational numbers are numbers that repeat with a definite pattern, and/or terminate (finite amount of decimal points)

Answer: intager and whole number

Step-by-step explanation:

Ratianal number =Any number that can be written as a ratio (or fraction) of two integers

Intager=An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Whole number=The numbers that include natural numbers and zero. Not a fraction or decimal

The inequality that shows the possible distances of house A from house C is x ≥ 5

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.

We are given that;

Distance= 4miles

Let x be the distance of house A from house C. Since house B is 4 miles from house A, and house C is at least 1 mile from house B, we can write an inequality that relates x, 4, and 1:

x ≥ 4 + 1

This inequality means that the distance of house A from house C is greater than or equal to the sum of the distances of house A from house B and house B from house C.

To solve this inequality, we need to simplify it by adding 4 and 1:

x ≥ 5

Therefore, by inequality the answer will be x ≥ 5.

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Answer:

$46.25

Step-by-step explanation:

37*1.25=46.25

The ratio of the number of boys and girls to show Leslie's statement is false is 18/24 and 6/24.

The ratio of boys to women is 9:3, because of this that for every 9 boys, there are three women. This also method that the fraction of boys to the whole quantity of students is 9/12, and the fraction of girls to the entire variety of college students is 3/12.

Leslie’s assertion is that there ought to be precisely 6 greater boys than ladies, this means that the distinction between the number of boys and girls is continually 6. This means that the fraction of boys to the whole number of college students is always 6/12 more than the fraction of ladies to the whole quantity of students.

However, this isn't real, because we can discover numbers of boys and girls that satisfy the ratio of 9:3 but have an exceptional difference. For instance, if there are 18 boys and 6 women, then the fraction of boys to the entire quantity of students is 18/24, and the fraction of women to the entire range of students is 6/24.

The difference among these fractions is 12/24. Therefore, Leslie’s statement is fake. Another manner to see that is to notice that if we multiply both phrases of the ratio by way of a not-unusual factor, we get a new ratio this is equal to the authentic one, but has a unique difference.

For instance, if we multiply by way of 2, we get 18:6, which has a difference of 12. If we multiply by using 3, we get 27:9, which has a distinction of 18. In fashionable, any multiple of nine and three that isn't always 9 and three will paint as a counter-example to Leslie’s statement.

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