need help............​

Answer:

y= -2(-6) +5

y= 12+5

y= 17

y= -2(-3) +5

y= 6 +5

y= 11

y= -2(0) +5

y= 0+5

y=5

y= -2(3) +5

y= -6 +5

y= -1

Answer:

Volume of cylinder = 1648.5 ft³

Step-by-step explanation:

Given:

Height = 21 ft

Diameter = 10 ft

Radius = 10 / 2 = 5 ft

Find:

Volume of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (3.14)(5)²(21)

Volume of cylinder = 1648.5 ft³

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

Explanation for Problem 9

The events are independent because any given coin flip doesn't affect the other one. Also the coin flips do not affect the dice roll, or vice versa.

1/2 = probability of tails

(1/2)^2 = 1/4 = probability of two tails in a row

2/6 = 1/3 = probability of rolling a '5' or '6'

(1/4)*(1/3) = 1/12 = 0.083 = 8.3% is the approximate probability of two tails and getting a dice roll larger than 4.

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

Explanation for Problem 10

These events are dependent. Why? It's solely because we do not put the coin back when selecting it. This is a case of "no replacement".

There are 7+2+5 = 14 coins total. And 7/14 = 1/2 is the probability of getting a quarter on the 1st selection.

After that coin is not put back, there are 14-1 = 13 coins left. Of which 5 are nickels. Therefore 5/13 is the probability of getting a nickel on the 2nd selection. Then 4/12 = 1/3 is the probability of getting another nickel on the 3rd selection.

Multiply those fractions

(1/2)*(5/13)*(1/3) = 5/78 = 0.064 = 6.4% is the final answer. It is approximate.

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

Explanation for Problem 11, part a)

Each selection is replaced, so the probability of the next selection is not altered. Each event is independent.

9 yellow out of 4+9+5 = 18 total

9/18 = 1/2 = probability of getting yellow

(1/2)^3 = 1/8 = 0.125 = 12.5% = probability of 3 yellow in a row when replacement is done.

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

Explanation for Problem 11, part b)

We aren't doing replacement. The probability will change as we select more marbles. The events are dependent.

9 yellow and 4+9+5 = 18 total

Each numerator counts down by one (9,8,7) and so do the denominators (18,17,16).

Those multiply to (9/18)*(8/17)*(7/16) = 7/68 = 0.103 = 10.3% is the approximate final answer.

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer:

 \(\frac{(x+2)^2}{121} + \frac{(y-1)^2}{169} = 1\)

Step-by-step explanation:

First, we identify that the vertices are vertical.
(an image below is attached if you want to see a visualization)
Therefore, the equation is such:

\(\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1\)

(h,k) is the center of the ellipse, which we could easily calculate by finding the midpoint between any pair of vertices.

This gets us (-2, 1)

Therefore, h = -2, k = 1

Now we want to find a,

we know the length of the major axis is 2a, and in this case, our length of the major axis is 26. So a = 13

Now we want to find b,

We know the length of the minor axis is 2b, and in this case, our length is 22, so b = 11

Now we will just plug in all the values and simplify to get our answer! B)

Selecting elements from an ordered sampling frame is a statistical approach used in survey methodology known as systematic sampling and in the given situation (D) systematic sampling would be the best.

Systematic sampling is a statistical technique used in survey methodology that involves choosing components from an ordered sampling frame.

An equiprobability approach is the most typical type of systematic sampling.

This method treats the list's evolution in a cyclical manner, returning to the top after it has been completed.

The sampling process begins with the random selection of one element from the list, followed by the selection of every kth element in the frame, where k is the sampling interval, also known as the skip, and is equal to:
k = N/n.

Therefore, in the given situation (D) systematic sampling would be the best.

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keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year, so

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4300\\ r=rate\to 5.1\%\to \frac{5.1}{100}\dotfill &0.051\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ A=4300[1+(0.051)(\frac{3}{2})] \implies A=4628.95\)

Answer:

457.25

1636.4

Step-by-step explanation:

To find this you need to figure out what the probability of you needing it is. I believe that you then need to see how much you will pay with that. ex:1050 with only 32% chance that you will need it. So 336. 225 but only 45 %, so 121.25.

1,580 guarantied. 24. 32.4. Add all these together you get 1636.4.

Answer:

You will have earned $113 in interest.

Step-by-step explanation:

After investing for 4 years at 3% interest, your initial investment of $900 will have grown to $1,013.

To find the amount you need to invest, we can use the formula for simple interest:

\(\displaystyle\sf \text{{Interest}} = \text{{Principal}} \times \text{{Rate}} \times \text{{Time}}\)

Here, the principal is the amount you need to invest, the rate is 3% (or 0.03 as a decimal), and the time is 4 years. We can rearrange the formula to solve for the principal:

\(\displaystyle\sf \text{{Principal}} = \frac{{\text{{Interest}}}}{{\text{{Rate}} \times \text{{Time}}}}\)

Plugging in the given values, we get:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.03 \times 4}}\)

Simplifying further:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.12}}\)

Calculating the division:

\(\displaystyle\sf \text{{Principal}} = 7500\)

Therefore, you will need to invest $7500 at 3% to have earned $900 in interest in 4 years.

Answer:

the answer is A

Step-by-step explanation:beacuse ik its right

For p(x<62) and p(x>68), we can use the z-score formula to calculate the probability.

p(x<62), the z-score formula is (62-64)/18 = -0.11.

p(x>68), the z-score formula is (68-64)/18 = 0.22.

The rest answer are mentioned below with calculation.

It is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.

For the first two questions, p(x<62) and p(x>68), we can use the z-score formula to calculate the probability. The z-score formula is (X-μ)/σ, where X is the value we are evaluating, μ is the mean of the population, and σ is the standard deviation of the population.

For the first question, p(x<62), the z-score formula is (62-64)/18 = -0.11. This means that the probability of x being less than 62 is 0.3767 (from the z-score table).

For the second question, p(x>68), the z-score formula is

(68-64)/18 = 0.22.

This means that the probability of x being greater than 68 is 0.5987 (from the z-score table).

For the third question, the probability that a randomly selected pregnancy lasts less than 260 days can be calculated using the z-score formula.

The z-score formula is (260-266)/16 = -0.375. This means that the probability of a randomly selected pregnancy lasting less than 260 days is 0.3296 (from the z-score table).

For the fourth question, the probability that a random sample of 20 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.

Since the sample size is 20, the standard deviation of the sample is

16/√(20) = 4.

The z-score formula is (260-266)/4 = -1.5.

This means that the probability of a random sample of 20 pregnancies having a mean gestation period of 260 days or less is 0.0668 (from the z-score table).

For the fifth question, the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less can be calculated using the Central Limit Theorem.

Since the sample size is 50, the standard deviation of the sample is

16/√(50) = 1.83

The z-score formula is (260-266)/1.8 = -3.3.

This means that the probability of a random sample of 50 pregnancies having a mean gestation period of 260 days or less is 0.0062 (from the z-score table).

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Answer:

The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:

(x,y) -> (x + 4, y).

Hence it was translated 4 units right.

On the translation of △A′B′C′​ to △A′′B′′C′', the rule is given by:

(x,y) -> (-y,x).

Hence it was rotated 90 degrees counterclockwise about the origin.

The triangle keeps the same size after the translations, hence:

Because the transformations are both rigid, the pre-image and the image are congruent.

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Answer:

7 red weights and 2 purple

Step-by-step explanation:

Answer:

5 purple weights and 5 red weights

Step-by-step explanation:

The linear function g(z) = 4 · z + 7 is the result of applying the transformation rule g(z) = f(z) - 2 (Translation two units down) on the linear function f(z) = 4 · z + 9 . (Correct choice: C)

In this problem we find a linear function that is modified into another linear function by a transformation rule. We need to find if the function is modified by a horizontal translation, a vertical translation or a combined translation, that is, a combination of horizontal and vertical translations.

Horizontal translation

g(x) = f(x - k), where k > 0 for a translation in + x direction.

Vertical translation

g(x) = f(x) + k, where k > 0 for a translation in + y direction.

After a quick inspection, we notice that linear function f(z) = 4 · z + 9 is transformed into g(z) = 4 · z + 7 by using vertical translation 2 units down.  Then, we find the following transformation formula:

g(z) = f(z) - 2

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Answer:

1 - 31 + 191 does not represent the distance of the 2 given points.

The distance between the 2 points is 12

Step-by-step explanation:

Remember distance formula: \(d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\)

When we plug in our values into the distance formula into a calc,

d = \(\sqrt{(9-(-3))^2 + (-5-(-5))^2}\)

We get d = 12. This does not equal 1 - 31 + 191 (which equals 161).

Answer:

Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Step-by-step explanation:

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.

The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Total Amount to be when start the company is $12000 + $12000

= $24000

Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.

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Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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Answer:

-27.558

Step by Step:

I subtracted it

Figure B is not a scale copy of figure A. The answer is NO. The corresponding lengths of both figures have different ratios.

If a figure is the scale copy of another figure, the corresponding side lengths of both figures would be proportional to each other, which means their ratios would be the same.

From the figure given, the ratios of their side lengths are:

18/9 = 2

12/12 = 1

30/15 = 2

This shows that their ratios are not the same.

Therefore, we can conclude that figure B is not a scale copy of figure A. The answer is NO. The corresponding lengths of both figures have different ratios.

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Answer:

square root of 128

Step-by-step explanation:

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

235

Step-by-step explanation:

Find the daily average

daily average

=(235+250+248+206+236)/5

=1175/5

=235

Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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The compound inequality on the number line is shown below.

We have been given a compound inequality. We are asked to graph the given inequality on number line.    

x>8 and x≤3

The solution for the inequality is all values of x less than or equal to 3 and greater than or equal to 8.

We will have solid dots at  x>-8 and x≤-3 .

One arrow of the number line would be from 3 to left of the number line (towards negative infinity). The other arrow will be from 8 to right side of number line towards positive infinity.

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The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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The ODE's general solution has real solution and complex eigen functions. Typical trajectories are sinusoidal curves.

The general solution of the ODE involves complex eigenfunctions, which are solutions of the form e^(ikx), where k is a real number and i is the imaginary unit. By combining these complex eigenfunctions with real coefficients, a general real solution can be obtained. Typically, these solutions will take the form of sinusoidal curves, with the amplitude and period determined by the coefficients of the eigenfunctions. The coefficients can be determined using initial conditions, allowing for more specific trajectories to be determined. For example, if the initial condition is known, then the coefficients of the eigenfunctions can be determined using Fourier analysis, allowing for the trajectory of the system to be determined.

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Answer:

About 5 times

Step-by-step explanation:

17.6 divided by 3.3 is 5.3333333...