HELP ME PLEASE
find the area of a regular pentagon with a side length of 10 and apothem of 6.9.
Round to the nearest tenth

Answer:

Step-by-step explanation:

x=8

Answer:

I think the answer is 792

Answer:

SA = 696cm^2

Step-by-step explanation:

First we need to identify the shapes

There are 3 rectangles and 2 triangles

Now the individual surface area for each shape

20 x 10 = 200 (1 rectangle)

1/2(12 x 8) = 48 (1 triangle)

Now we add them together

(200 x 3) + (48 x 2) = 696

When a sample has the same characteristics as the target population, the sample is said to be a representative sample.

When a sample has the same characteristics as the target population, the sample is said to be a representative sample.

Let's take a look at this definition in more detail below:

A representative sample is a sample that adequately represents the population, which is selected randomly, so that each member of the population has an equal chance of being included. A representative sample should have the same characteristics of the population it represents.

To get a representative sample, researchers must select participants randomly. A representative sample has the same distribution of variables as the population in which it was derived. It is generally believed that a representative sample is necessary for generalizing the results to the population

Therefore, the results obtained from a representative sample can be generalized to the larger population.In a nutshell, a representative sample is a sample that represents the population from which it was selected. It should have similar characteristics to the population from which it was drawn.

A representative sample is a necessary prerequisite for generalizing the results to the larger population. It ensures the accuracy of the study and the validity of the results obtained. The sample size should be large enough to provide adequate statistical power and enable the results to be generalized to the population.

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The new point after rotation of point  (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given,

Point A =  (-7, -3)

Let's say after rotation this point moves to a new coordinate (x, y) which is point B

Let's say the origin is O

Slope of line segment AO = (-3-0)/(-7-0) = 3/7

Slope of line segment BO = (y - 0)/(x - 0) = y/x

Now,

Since both lines are perpendicular to each other so

Slope AO × Slope BO = -1

3/7 × y/x = -1 ⇒ 3y = -7x

Now if we observe the result then it will be clear that if we put x = 3 than y = -7 will be the new coordinate.

Hence, The new point after rotation of point  (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).

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The slope of the line through the points is -3

The points are given as:

(-1, 8) and (3, -4)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (-4 - 8)/(3 + 1)

Evaluate the expression

m = -3

Hence, the slope of the line through the points is -3

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The slope of the line that passes through (-1, 8) and (3, -4) is: -3.

Slope of a line (m) = change in y / change in x.

Given the points, (-1, 8) and (3, -4):

Slope (m) = (-4 - 8)/(3 - (-1))

Slope (m) = (-12)/(4)

Slope (m) = -3

Thus, the slope that passes through the given points is: -3.

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To find P(a) using synthetic division and the Remainder Theorem, we substitute a = -3 into the polynomial P(x) = 2x^4 + 6x^3 + 5x^2 - 45 and perform synthetic division.

Using synthetic division, we set up the division as follows:

    -3 |   2    6    5    0   -45

        ---------------------------------

Performing the synthetic division, we bring down the coefficient of the highest degree term, which is 2:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2

Then, we multiply -3 by 2 and write the result under the next coefficient:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2   -6

Next, we add the values in the second row (6 + (-6)) and write the sum under the next coefficient:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2   -6   -1

We repeat the process of multiplying and adding until we reach the end of the polynomial:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2   -6   -1   -3

                        12

                        9

The final result of the synthetic division gives us a remainder of 9.

Therefore, P(-3) = 9.

To find P(a) using the Remainder Theorem and synthetic division, we substitute the value of 'a' into the polynomial P(x) and perform synthetic division.

Given polynomial:

P(x) = 2x^4 + 6x^3 + 5x^2 - 45

We want to find P(a) when a = -3.

We set up the synthetic division by writing the coefficients of the polynomial in descending order:

    -3 |   2    6    5    0   -45

        ---------------------------------

We begin the synthetic division by bringing down the first coefficient, which is 2:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2

Next, we multiply -3 by 2 and write the result (-6) under the next coefficient, which is 6:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2   -6

We add the values in the second row (6 + (-6)) and write the sum (-1) under the next coefficient, which is 5:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2   -6   -1

We repeat the process of multiplying -3 by the new coefficient (-1) and adding until we reach the end of the polynomial:

    -3 |   2    6    5    0   -45

        ---------------------------------

             2   -6   -1   -3

                        12

                        9

The final result of the synthetic division is 9, which is the remainder when P(x) is divided by (x - a).

Therefore, P(-3) = 9, indicating that when x = -3, the polynomial P(x) has a remainder of 9.

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Using synthetic division and the Remainder Theorem, the value of P(-3) for the polynomial P(x)=2x⁴+6x³+5x²-45 is -45.

To solve P(a) for the polynomial P(x)=2x⁴+6x³+5x²-45 using synthetic division and the Remainder Theorem where a=-3, first write the coefficients of P(x) and a in a synthetic division format.

So, we will have -3, then draw a line and write the coefficients 2, 6, 5, and -45.

Now, bring down the first coefficient (2). Then multiply a (-3) by this number and write the result (-6) underneath the second coefficient. Add these two numbers (6-6) and write the result (0) below the line.

Repeat this process: multiply a (-3) by the new number (0) and add it to the next coefficient (5).

After repeating these steps, the last number you obtain by these calculations is -45, which is the remainder and according to the Remainder Theorem, P(-3) equals to this remainder.

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Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

4×4×4×4×4 = 4 ^ (5)

(1) (2) (3) (4) (5)

4^5 ( )

The ratio of the plant cell's length to its width is 2:1 (5.8 x 10^-6 m to 2.9 x 10^-6 m).

To calculate the ratio of the plant cell's length to its width, we first need to find the length and width of the cell. The given data states that the length of the cell is 5.8 x 10^-6 m and the width is 2.9 x 10^-6 m. To calculate the ratio, we divide the length by the width. In this example, we divide 5.8 x 10^-6 m by 2.9 x 10^-6 m, which equals 2. Thus, the ratio of the plant cell's length to its width is 2:1.

length / width = 5.8 x 10^-6 m / 2.9 x 10^-6 m = 2

length : width = 5.8 x 10^-6 m : 2.9 x 10^-6 m = 2:1

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Answer:

Part 1 is the 16 square feet

Part 2 is the 128 cube feet

Answer:

13/9

Step-by-step explanation:

Given

5/9 + 8/9

Both fractions have the same denominator.

Therefore, pick one of the denominator and add the numerators

5/9 + 8/9

= (5+8) / 9

= 13/9

5/9 + 8/9 = 13/9

Answer:

19

Step-by-step explanation:

The maximum amount of the sum of digits that can be obtained from a digital clock is 27.

To see why, note that the maximum value for the hour digits is 23 (since the clock uses a 24-hour format). The sum of digits in 23 is 2+3=5.

For the minute digits, the maximum value is 59. The sum of digits in 59 is 5+9=14.

Adding the two sums of digits together, we get:

5 + 14 = 19

Therefore, 19 is the maximum sum of digits that can be obtained from the hour and minute digits on a digital clock

Answer:

Because 4 divided by 11 does not have an exact answer, it just keeps going on.

Step-by-step explanation:

To find the number of books per box, you can divide the total number of books (64) by the number of boxes (2):

64 books ÷ 2 boxes = 32 books per box

Therefore, there are 32 books per box.

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The correct answer is:

Work/explanation:

If we have 64 books in 2 boxes, we can find the number of books in one box by dividing 64 by 2 :

\(\sf{64\div2=32}\)

So this means that there are 32 books per box.

Step-by-step explanation:

Total change = (-1/8) + (3/4) + (3/4) + (-1/2) = 7/8.

Average change = Total change / 4 days

= (7/8) / 4

= 7/32. (C)

The correct answer is D. The flux of F across C is the sum of the components of F orthogonal or normal to C at each point of C.

The flux of a two-dimensional vector field F across a smooth oriented curve C represents the amount of the field that passes through the curve. In this context, the correct answer is: D. The flux of F across C is the sum of the components of F orthogonal or normal to C at each point of C. This means that the flux is calculated by considering the components of the vector field that are perpendicular to the curve at each point along C. By summing these orthogonal components, we can determine the overall quantity of the field that passes through the curve.

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How high the football gets is a function of the maximum height of the ball

The football goes 40.313 ft high

The equation that models the height of the ball is given as:

\(h(t) = -5t^2 +27.5t+2.5\)

Differentiate the function

\(h'(t) = -10t +27.5\)

Set to 0

\(-10t +27.5 = 0\)

Collect like terms

\(10t =27.5\)

Divide by 10

\(t =2.75\)

Substitute 2.75 for t in \(h(t) = -5t^2 +27.5t+2.5\) to calculate how high the ball get

\(h_{max} = -5 * 2.75^2 +27.5 * 2.75+2.5\)

\(h_{max} = 40.3125\)

Approximate

\(h_{max} = 40.313\)

Hence, the football goes 40.313 ft high

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Answer:

s : m : l

2u : 3u : 7u

small bag=15kg

medium bag=22.5kg

large bag=52.5kg

Answer:

its basically -4 divided by 2 which is 2

Step-by-step explanation:

Answer:

Q3. Last option Q4. 3rd option

Step-by-step explanation:

s^2 = 9.8^2+5.1^2-2(9.8)(5.1)cos39

s^2=44.366489...

s=6.7

Answer:

Step-by-step explanation:

1. Write the question.

17 - 2x = -11

2. Subtract 17 from both sides

-17          -17

    - 2x = -28

3. Negatives cancel

      2x = 28

4. Divide both sides by 2

        /2     /2

        x = 14

5. Check the answer, write the equation.

17 - 2x = -11

6. Substitute x with the value

17 - 2(14) = -11

17 - 28 = -11

-11 = -11

The answer is correct!

Hope this helped,

Kavitha

The weight that the next measurement has a 10% chance of exceeding is 9.784.

Here we need a weight such that the next weight had a 10% chance of exceeding that weight "w" i.e. we need a w such that

P(X>w)=0.1, Where X denotes the weight of the object. Here X follows Normal(9.78, 0.0031) . Thus,

Z = X-9.78 / 0.0031 follows Normal (0, 1) and

P(X>w) = 0.1

= P((X-9.7)/0.031 > (w-9.78)/0.031)

= 0.1

= 1 - P(Z≤ (w-9.78)/0.031)

= (w-9.78)/0.031

= Φ⁻¹(0.9)

= (w-9.78)/0.031 = 1.28155

= w = 9.784

Hence the weight that the next measurement has a 10% chance of exceeding is 9.784.

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Rate is the distance between the cars increasing two hours later is 52 miles/hr

Let x(t) be distance of first car from starting point at time t

Let y(t) be distance of second car from starting point at time t

Let s(t) be distance between the two cars at time t. We need to evaluate ds/dt at time t = 2.

We know x2(t) + y2(t) = s2(t). Therefore 2x * dx/dt + 2y * dy/dt = 2s * ds/dt. The 2s cancel.

At t=2 hours, x = 96 miles. and y = 40 miles.

We will need the distance between the cars at t=2:

s(2) = √x(2)2 + y(2)2 = √96 2 + 40 2 = √10816 = 104.

Now fill in x * dx/dt + y * dy/dt = s * ds/dt at time t = 3 and solve for ds/dt:

96 * 48 + 40 * 20 = 104 * ds/dt

ds/dt = 5408/104 = 52 miles/hr

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we can conclude that only about 2.28% of vehicles in Santa Clara are more than 6 years old, based on the given average age and standard deviation of the vehicle age distribution.

To answer this question, we can use the standard normal distribution table or a calculator to find the area under the standard normal distribution curve for the given probability. To do this, we need to standardize the variable of interest, which in this case is the age of the vehicle, into a standard normal variable with a mean of 0 and a standard deviation of 1. To standardize the variable of interest, we can use the formula

z = (x - mu) / sigma

where z is the standardized variable, x is the age of the vehicle, mu is the mean age of the vehicle (9 years), and sigma is the standard deviation of the vehicle age (18 months, or 1.5 years).

To find the percentage of vehicles that are more than 6 years old, we need to find the area under the standard normal distribution curve to the left of the standardized variable z = (6 - 9) / 1.5 = -2.

Using a standard normal distribution table or calculator, we can find that the area to the left of z = -2 is approximately 0.0228. This means that the percentage of vehicles that are more than 6 years old is approximately:

0.0228 * 100% = 2.28%

Therefore, we can conclude that only about 2.28% of vehicles in Santa Clara are more than 6 years old, based on the given average age and standard deviation of the vehicle age distribution.

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The Laplace transform of the given initial value problem (IVP) is obtained. The Laplace transform of the differential equation leads to an algebraic equation in the Laplace domain, resulting in the expression for Y(s), denoted as Y(s)=.

To find the Laplace transform of the IVP, we start by taking the Laplace transform of the given differential equation. Using the linearity property of the Laplace transform, we obtain:

s^2Y(s) - sy(0) - y'(0) + 10sY(s) - 10y(0) + 25Y(s) = -7L[sin(4t)]

Substituting the initial conditions y(0) = -2 and y'(0) = 4, and the Laplace transform of sin(4t) as 4/(s^2 + 16), we can rearrange the equation to solve for Y(s):

(s^2 + 10s + 25)Y(s) - 2s + 20 + sY(s) - 10 + 25Y(s) = -28/(s^2 + 16)

Combining like terms and simplifying, we obtain:

(Y(s))(s^2 + s + 25) + (10s - 12) = -28/(s^2 + 16)

Finally, solving for Y(s), we have the expression:

Y(s) = (-28/(s^2 + 16) - (10s - 12))/(s^2 + s + 25)

This represents the Laplace transform of the given IVP, denoted as Y(s)=. The inverse Laplace transform of this expression would yield the solution y(t) to the IVP.

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Outliers in regression can be identified by looking for data points that are far away from the overall trend of the data. These points are usually evaluated by calculating the distance from the regression line to the point and comparing it to the standard deviation of the model.

Outliers in regression can be identified by looking for data points that are far away from the overall trend of the data. These points will often have a much larger or smaller value than the rest of the data, so they can be easily spotted by eye. However, to make sure that a point is truly an outlier, it is important to calculate the distance from the regression line to the point and compare it to the standard deviation of the model. If the distance is greater than two or three times the standard deviation, then the point is likely an outlier. Outliers can have a significant effect on the outcome of a regression analysis, so it is important to identify and address them appropriately.

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Answer:

c is greater than or equal to -1.

Step-by-step explanation:

Subtract 3 from both sides, divide by 5.

I have attached the work to your problem below.

I hope this helps.