Graph the function f(x) = -9x2.

The correct option is a) UCLr= 45.04, LCLr = 0, UCL_Xbar = 56.25 and LCL_Xbar = 20.5419.

First, calculate the R values for each sample by taking the range of the 5 parts:

R1=8.7, R2=9.8, R3=13.8, R4=5.8, R5=12.9, R6=6.5, R7=6.3, R8=9.4

Then, calculate the average of the R values:

Rbar = (8.7+9.8+13.8+5.8+12.9+6.5+6.3+9.4)/8 = 9.375

Using D4 = 2.115 and Rbar = 9.375, we can calculate the UCLr and LCLr:

UCLr = Rbar * D4 = 19.8094

LCLr = 0

Next, calculate the average of each sample:

Xbar1=49.22, Xbar2=46.38, Xbar3=49.74, Xbar4=48.2, Xbar5=52.96, Xbar6=54.02, Xbar7=53.56, Xbar8=50.32

Then, calculate the average of all the Xbar values:

Xdoublebar = (49.22+46.38+49.74+48.2+52.96+54.02+53.56+50.32)/8 = 50.8625

Using A2=0.577, D3=0, and the population standard deviation (which is unknown), we can estimate the standard deviation of the Xbar values as:

sigma_Xbar = Rbar / A2 = 16.2275 / 0.577 = 28.1017

Finally, we can calculate the UCL_Xbar and LCL_Xbar:

UCL_Xbar = Xdoublebar + (3 * sigma_Xbar) = 56.25

LCL_Xbar = Xdoublebar - (3 * sigma_Xbar) = 20.5419

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Answer:

69

Step-by-step explanation:

the formula is 2( base x height) + 2 (base x width) + 2( height x width)

do that for top rectangle and bottom and add them together

Answer:

65.25 square feet.

The correct answer choice:

The student would be able to afford the in-state cost for one year at a public 2-year college.

The correct option is D.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A student is planning to attend college in 5 years.

The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

The total savings,

= 1200 + (50 x 60)

= $4200

That is equivalent to the cost of one year at a public 2-year college.

Therefore, the saving amount is equivalent to the cost of one year at a public 2-year college.

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The table shows the cost per year of attending different types of colleges.

A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

Based on this information about the student's plan, which statement about the possible choices for a college is true?

Answer choices

The student would be able to afford the cost for one year at a private 4-year college.

The student would be able to afford out-of-state cost for half a year at a 4-year public college.

The student would be able to afford in-state cost for half a year at a public 4-year college.

The student would be able to afford in-state cost for one year at a public 2-year college.

150 Minutes

We need to find the Lcm of 25 and 30

Student 1 and Student 12 start from the same point, at same time and in same direction.  So they meet again after lcm of the times taken by them individually.

What is LCM?

Least common multiple

To get the LCM we have to factorize the numbers,

25=5*5

30=2*5*3

LCM of 25 and 30 is 5*2*3*5 is 150

Therefore in 15 minutes they meet each other at the starting point

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Answer: 175

Step-by-step explanation:

Answer:

\(x=\pm2\)

Step-by-step explanation:

\(f(x)=4x^4-64\)

\(0=4x^4-64\)

\(0=x^4-16\)

\(16=x^4\)

\(\pm2=x\)

The Riemann sum is a method used to approximate the value of a definite integral by dividing the interval into subintervals and evaluating the function at specific points within each subinterval.

In this case, we are given the integral ∫30(4x^2 + 2x + 1)dx and we need to find the Riemann sum using right endpoints and n subintervals.

To calculate the Riemann sum, we first need to determine the width of each subinterval. The total interval is 30, and we will divide it into n subintervals, so the width of each subinterval is Δx = 30/n.

Next, we need to determine the right endpoint of each subinterval. Since we are using right endpoints, the right endpoint of the first subinterval will be x_1 = Δx, the right endpoint of the second subinterval will be x_2 = 2Δx, and so on. The right endpoint of the nth subinterval will be x_n = nΔx.

Now, we can calculate the Riemann sum by evaluating the function at each right endpoint and multiplying it by the width of the subinterval. Let's denote the function as f(x) = 4x^2 + 2x + 1.

The Riemann sum can be written as:

R = Σ[f(x_i)Δx], where i ranges from 1 to n.

Using the right endpoints, the Riemann sum can be expressed as:

R = Σ[f(x_i)Δx] = Σ[(4(x_i)^2 + 2x_i + 1)Δx], where i ranges from 1 to n.

Finally, we can calculate the Riemann sum by substituting the values of x_i and Δx into the above expression and summing up the terms.

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Answer:

Does the answer help you?

Answer:  The three medians of the triangle are concurrent. The point of concurrency is called the centroid. Point A is the centroid of the triangle.

Step-by-step explanation:

Answer:

Centroid.

Step-by-step explanation:

This point is where the three medians of a triangle meet. The median in a triangle is the line between a vertex and the opposite side.

Answer:

Step-by-step explanation:

Option A: ∠ BDC ≅ ∠ADB is the missing statement in the proof.

This statement is needed to complete the proof by showing that triangles ∆ABC and ∆ADB are similar by the AA criterion.

The type of the function that is represented by 6y = 2(x - 5) is a linear function

Linear functions are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation of the function is given as

6y = 2(x - 5)

Divide both sides of the equation by 6

So, we have

y = 1/3(x - 5)

Open the bracket

y = 1/3x - 5/3

The form of the above equation is

y = mx + c

The equation represented by y = mx + c is a linear function

Hence, the type of the function that is represented by 6y = 2(x - 5) is a linear function

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Answer:

t = 8

Step-by-step explanation:

8t - 2=62

8t =62+2

8t = 64

t = 64÷8

t = 8

Answer: t = 8

Step-by-step explanation:

Answer:

\(z=2\)

Step-by-step explanation:

\(z=n-7\)

In this case, I'm assuming that you're trying to say that n = 9.

1. Substitute in 9 for n

\(z = (9)-7\)

2. Combine like terms

\(z=9-7\\z=2\)

Answer: the answer is C

Step-by-step explanation: trust me took the final yesterday ‍♀️

Answer:

C) \(f(x)=(x-1)^\frac{1}{2}\)

Step-by-step explanation:

The graph shows a radical function that starts at (0,1). This must mean that the original function had been translated to the right one unit. Therefore, \(f(x)=(x-1)^\frac{1}{2}\) is correct.

Answer:

2.5

Step-by-step explanation:

37.5 divided by 15 which is 2.5 because you'd do the inverse. you know the method for area is base times height and in this case you know base and total area so you'd divide.

Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

Answer:

9 units

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

4x+6−6=38−6

4x=32

Step 2: Divide both sides by 4.

Answer:

x=8

Step-by-step explanation:

Answer:

Three are 27 rows of saplings

Step-by-step explanation:

Since 21 saplings were left out of 750 saplings, the number of saplings arranged will be 750 -21 = 729 saplings

We were told that the number of saplings arranged per row is equal the number of rows

So let’s say the number of saplings arranged per row is x

Automatically, the number of rows too will be x

So the total number of saplings arranged will be;

x * x = x^2

This is equal to 729

x^2 = 729

x^2 = 27^2

Since power is equal, equate the base

This means that x = 27

The first question lettered (b) have the value of angles; x = 15° and y = 75°. And the second question lettered (c) have the values x = 60° and y = 60. Both questions involving an equilateral triangle

The diagonal of the square which is one of the sides of the equilateral triangle, bisects the angle 90°, which implies that we have one of the angles of the triangle as;

(45 + x)°

3(45 + x)° = 180° {sum of interior angles of equilateral triangle}

135° + 3x = 180° {open bracket}

3x = 180° - 135° {subtract 135 from both sides}

3x = 45°

x = 45°/3 {divide through by 3}

x = 15°

which makes one of the angles = 45° + 15° = 60°

y = 60 + 15° {exterior angle of triangle equals the sum of the opposite interior angles}

y = 75°

For the second question, the triangle formed is also an equilateral triangle so;

x = y = ∠ADP

3x = 180° {sum of interior angles of equilateral triangle}

x = 180°/3

x = 60°

Therefore, the two questions involves an equilateral triangle, and the first question have the angles x = 15° and y = 75°. While both angles x and y equals 60°.

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To convert a given amount in total pennies into dimes, nickels, and pennies, start by finding the maximum number of dimes that can be obtained. Then, determine the maximum number of nickels, and finally, calculate the remaining pennies. This process ensures the maximum number of each coin denomination is used while minimizing the number of remaining pennies.

To convert total pennies into dimes, nickels, and pennies, follow these steps:

1. Find the maximum number of dimes: Divide the total pennies by 10 (since there are 10 pennies in a dime). The quotient represents the maximum number of dimes.

2. Calculate the remaining pennies: Take the remainder of the division in step 1 and assign it as the new total pennies.

3. Find the maximum number of nickels: Divide the new total pennies by 5 (since there are 5 pennies in a nickel). The quotient represents the maximum number of nickels.

4. Calculate the remaining pennies: Take the remainder of the division in step 3 and assign it as the new total pennies.

5. The final value of the total pennies represents the maximum number of pennies.

By following this process, you can convert the total pennies into the maximum number of dimes, nickels, and pennies while minimizing the number of remaining pennies.

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Answer:

20%

Step-by-step explanation:

given the info, let's add up all of the marbles we have so far

7 + 4 + 2 + 3 = 16 marbles

the rest are white and the total number of marbles in the bag are 20

16 marbles + white marbles = 20 marbles

there must be 4 white marbles

putting this in a fraction is 4/20

to put in percentage multiply by 100

4/20 × 100 = 20%

Answer:

7,000

Step-by-step explanation:

First round:

8747=9000

2119=2000

Second subtract:

9000-2000=

7000

Third subtract:

8747-2119=

6628

6628=7000

Hence, 7,000 is the correct answer.

The points (0,10) and (-8,4) are solutions of the system of inequalities.

A system of inequalities refers to a set of two or more inequalities that are graphed together on the same coordinate plane. Each inequality in the system represents a region in the plane where the solution to that inequality lies.

To determine if a point is a solution of the system of inequalities, we need to check if it satisfies both inequalities. Let's check each point given:

(4,6):

8(4) + 5(6) = 47 > 40 (true)

-6(4) + 2(6) = -14 ≥ 18 (false)

(9,8):

8(9) + 5(8) = 97 > 40 (true)

-6(9) + 2(8) = -40 ≥ 18 (false)

(0,10):

8(0) + 5(10) = 50 > 40 (true)

-6(0) + 2(10) = 20 ≥ 18 (true)

(5,-6):

8(5) + 5(-6) = 34 > 40 (false)

-6(5) + 2(-6) = -30 ≥ 18 (false)

(-1,-8):

8(-1) + 5(-8) = -44 ≤ 40 (false)

-6(-1) + 2(-8) = 10 ≥ 18 (false)

(-8,4):

8(-8) + 5(4) = -24 ≤ 40 (true)

-6(-8) + 2(4) = 52 ≥ 18 (true)

Therefore, the points (0,10) and (-8,4) are solutions of the system of inequalities.

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Answer:

A. 0.2346

Step-by-step explanation:

add all of the batting averages and divide by 5 (bc there are 5 of them)

Answer:

100cm

Step-by-step explanation:

The relationship between the ratio and the heights is 20. i.e 4 : 5 = 80 : 100

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The height of the taller boy is 100cm.

Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Let the height of the taller boy be x cm and smaller boy be y cm.

According to the given question.

The ratio of height of the two boys is 4:5.

Since, it is obvious that 4:5 is the ratio of the height of smaller boy to the taller boy. Because k will be the ratio of proportionality then 4k will given the smaller value and 5k will give the larger value therefore, 4:5 represents the ratio of height of smaller boy to the taller boy.

\(\implies \frac{y}{x} =\frac{4}{5}\)

Also, the height of the shorter boy is 80cm.

Therefore,

\(\frac{80}{x} = \frac{4}{5}\)

\(\implies 80\times 5 = 4\times x\)

\(\implies 400 = 4\times x\)

\(\implies x = \frac{400}{4}\)

\(\implies x = 100cm\)

Hence, the height of the taller boy is 100cm.

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Answer:

perfect

Step-by-step explanation:

Answer:

The inequality is correct.

Step-by-step explanation:

Answer:

The answer would be -19.8

Step-by-step explanation:

Hope this helps