Can someone help me
7 + 2h = 3 + 4h

Control limits are based on multiples of the sample statistic's standard deviation, hence the assertion is false that "control limits are based on multiples of the process standard deviation".

A control chart is made up of many different parts. There are two control limitations. The top dashed line represents the upper control limit (UCL), and the bottom dashed line represents the lower control limit (LCL).The solid middle line denotes the statistic's average for the plot.

The horizontal lines known as control limits in a control chart show the upper and lower limits of the acceptable range of results for a process. When plotted data goes over a control limit, a process is out of control and requires management action. The control limits are defined as three standard deviations on either side of the mean.

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Answer:The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Add 10 10 to both sides of the equation. Using the slope-intercept form, the y-intercept is 10 .

Step-by-step explanation:

The acceleration of the object can be calculated by determining the change in velocity over the given time interval. In this case, the object decreases its velocity from 60 mph to 30 mph in 5 seconds.

The acceleration can be determined using the formula: acceleration = (final velocity - initial velocity) / time.

Using the given values, we can calculate the acceleration as follows:

Acceleration = (30 mph - 60 mph) / 5 seconds

Acceleration = -30 mph / 5 seconds

Acceleration = -6 mph/s

The negative sign indicates that the object is decelerating or slowing down. The acceleration value of -6 mph/s means that the object's velocity is decreasing by 6 miles per hour every second.

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Answer:

Step-by-step explanation:

6-3x=12-6x

Only one solution of  x=2

The calculated volume of the box is 1 cubic centimeters

From the question, we have the following parameters that can be used in our computation:

Shape = cube

Also, we have

Dimension = 1 cm

The volume of the box is the product of the dimensions

i.e. Volume = Length * width * height

Substitute the known values in the above equation, so, we have the following representation

Volume = 1 * 1 * 1

Evaluate

Volume = 1

Hence, the volume of the box is 1 cubic centimeters

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The cannonball will be at a height of 640 feet for the first time after 6.5 seconds.

Acceleration, is a rate at which velocity changes with time, in terms of both speed and direction.

The time it will take for the cannonball to reach a height of 640 feet for the first time can be found using the equation:

t = (vf - vi) / a

where:

t = time (in seconds)

vf = final velocity (in feet per second) = 0 (at the top)

vi = initial velocity (in feet per second) = 208

a = acceleration (in feet per second squared) = -32 (upwards)

Plugging in the values:

t = (0 - 208) / (-32) = 6.5 seconds.

So, the cannonball will be at a height of 640 feet for the first time after 6.5 seconds.

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

The first option is true since the item achieved its maximum height of 73.5 feet.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem. The answer could be simple or complicated.

This quadratic equation, which has the form y=a(x-h)2 + k, is referred to as being in vertex form. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)

We may deduce from the facts above that

-4.9 t2 + 19.6 t + 58.8 = 0

The equation will logically fit into the square upon completion.

y = a(x-h)^2 + k

where h will be the time it takes to get to a height of k.

-\(4.9t^{2}\) + 19.6t + 58.8 = 0

-\(4.9t^{2}\) + 19.6t = - 58.8

-4.9( \(t^{2}\) - 4t ) = -58.8

Now take half the linear term, square it, and add it to both sides.

-4.9( \(t^{2}\) - 4t ) = -58.8

-4.9( \(t^{2}\) - 4t + 4 ) = -58.8 + 19.6

-4.9 \((t-2)^{2}\) = - 78.8

s(t) = -4.9 \((t-2)^{2}\) + 78.8

now we have t = 3sec

s(t) = 73.5ft

The object reached its maximum height of 73.5 ft, the first choice is correct.

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Step-by-step explanation:

Given angle of elevation = angle ACB.

angle ACB + angle ABC + angle BAC = 180(sum of angles in a triangle)

angle ACB + 90 + 58 = 180

angle ACB = 180 - 90 - 58

=32

Answer:

? = 32 degrees

Step-by-step explanation:

since the angles inside a triangle has to add up to 180 degrees then we can use this equation to find the missing angle:

58° + 90° + ? = 180°

Answer:

4

Step-by-step explanation:

First, rewrite the equation with -5 substituted for A:    (-5)^2 +5(-5) +4
Next, simplify that equation:      25 -25 +4
Simplify this further: 4

When A=-5, the solution is 4.

Answer:

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Answer:

144 square inches

Step-by-step explanation:

Total surface area of the rectangular prism =  Sum of all the area of its sides

Since it has a square base which can be covered by 16 squares of length 1 inch each, then;

length of its base = 4 inches

So that,

i. Area of its base = \(length^{2}\)

                          = \(4^{2}\)

area of its base = 16 square inches

ii. Area of one of the surfaces of its sides = length x width (or base x height)

                                       = 4 x 7

                                       = 28 square inches

Sum of the area of its vertical sides = 4 x 28

                                        = 112 square inches

Thus,

Total surface area of the prism = 16 + 16 + 112

                                          = 144 square inches

Answer:

Should be A

Step-by-step explanation:

It would be A because you would make the original x coordinates negative to get the new ones

Answers:

1. It's called the gatekeeper because the cell membrane serves as a barrier that keeps many foreign substances from entering the cell.

2. Mitochondria is known as the energy factory because of its role in extracting energy from food through the process of respiration.

3. The nucleus is the boss of the cell because it controls the entire cell

4. DNA is stored within a chromosome.

5. The Golgi complex sorts, modifies, and assembles proteins.

6. Protein is made from amino acids.

7. The vacuole's function is to store material.

8. Diffusion and active transport are opposites because diffusion is a non-active method for moving molecules across the cell membrane, whereas active transport involves the use of energy within the cell to move molecules.

Answer:

bob

Step-by-step explanation:

To determine whether matrix A is normal, we need to check if A commutes with its conjugate transpose, denoted as A*. Let's calculate A*.
A* = [
α*   i*
i*   α*
]

Now, let's find the product A*A* and A*A* to check if they are equal.

A*A* = [
α*α + i*i   α*i + i*α
i*α + α*i   i*i + α*α
]

A*A = [
α*α + i*i   α*i + i*α
i*α + α*i   i*i + α*α
]

Since A*A* and A*A are equal, matrix A is normal.

To diagonalize matrix A, we need to find its eigenvalues and eigenvectors.

The characteristic equation is given by det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

Det(A - λI) = [
α - λ   i
i   α - λ
] = (α - λ)^2 - i^2 = (α - λ)^2 + 1 = 0

Solving this quadratic equation, we get λ = α ± i.

Now, let's find the corresponding eigenvectors.

For λ = α + i:
(A - λI)v = [
α - (α + i)   i
i   α - (α + i)
]v = [
-i   i
i   -i
]v = 0

Solving this system of equations, we get v = [1, i] or [i, -1].

For λ = α - i:
(A - λI)v = [
α - (α - i)   i
i   α - (α - i)
]v = [
i   i
i   i
]v = 0

Solving this system of equations, we get v = [1, -i] or [-i, -1].

So, the diagonal form of matrix A is D = [
α + i   0
0   α - i
], and the corresponding diagonalizing matrix P is given by P = [
1   i
i   -1
].

Moving on to the second question,

To make matrix A orthogonal, we need to ensure that its columns form an orthonormal set.

Let's consider the first two columns of matrix A, [5, 1] and [5, 2].

For two vectors to be orthogonal, their dot product must be zero.

(5, 1) · (5, 2) = 5*5 + 1*2 = 25 + 2 = 27 ≠ 0

So, it is not possible to choose α and β to make matrix A orthogonal.

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1. To determine whether matrix A=[α i; i α] is normal, we need to check if it satisfies the condition A*A^H = A^H*A, where A^H is the conjugate transpose of A.

Let's compute A*A^H:

A*A^H = [α i; i α] * [α i; i α]^H
      = [α i; i α] * [α* -i; -i* α]
      = [α^2 + i^2  -αi + iα; -αi + iα  i^2 + α^2]
      = [α^2 + 1  0; 0  α^2 + 1]

Now, let's compute A^H*A:

A^H*A = [α* -i; -i* α] * [α i; i α]
      = [α*α + i*-i  α*i - i*α; -i*α + i*α  -i*i + α*α]
      = [α^2 + 1  0; 0  α^2 + 1]

Since A*A^H = A^H*A, the matrix A is normal.

2. To make the matrix A=[5 1; 5 2; α β] orthogonal, we need to satisfy the condition A*A^T = I, where A^T is the transpose of A and I is the identity matrix.

Let's compute A*A^T:

A*A^T = [5 1 α; 5 2 β] * [5 5; 1 2; α β]
      = [25+1+α^2 25+2α+β; 25+2α+β 25+4+β^2+αβ]

To make this equal to the identity matrix, we need to set each element to zero except for the diagonal elements. Therefore, we have the following equations:

25 + 1 + α^2 = 1
25 + 2α + β = 0
25 + 2α + β = 0
25 + 4 + β^2 + αβ = 1

Simplifying these equations, we find:
α^2 = -24
β = -25 - 2α
β^2 + αβ = -24

These equations have multiple solutions for α and β that would make the matrix A orthogonal.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

3

Step-by-step explanation:

The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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Answer:

A = - 3 , B = - 3

Step-by-step explanation:

given f(x) divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x + 1) and (x - 2) , then equate f(- 1) and f(2) to respective remainders and solve for A and B

f(- 1) = A(- 1 - 1) + B(- 1 + 2) = 3 , that is

- 2A + B = 3 → (1)

f(2) = A(2 - 1) + B(2 + 2) = - 15 , that is

A + 4B = - 15 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate A

2A + 8B = - 30 → (3)

Add (1) and (3) term by term to eliminate A

0 + 9B = - 27

9B = - 27 ( divide both sides by 9 )

B = - 3

Substitute B = - 3 into (2) and solve for A

A + 4(- 3) = - 15

A - 12 = - 15 ( add 12 to both sides )

A = - 3

Then A = - 3 , B = - 3

Step-by-step explanation:

Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.

Answer:

5.1m

Step-by-step explanation:

Distance=\(\sqrt{5^{2} +1^{2} }\)

=5.1

Answer:

5.1 meters

Step-by-step explanation:

To Know :

Applying Distance Formula :

Among the given points, only the point (-2.5, 4) lies in the solution set of the equation (x - 2)²/25 + (y - 3)²/4 < 1. (option c)

To determine which point lies in the solution set, we need to substitute the coordinates of each point into the equation and check if the inequality holds true.

a) (4, –0.5):

Substituting the coordinates (4, -0.5) into the equation, we get:

(4 - 2)²/25 + (-0.5 - 3)²/4

= 2²/25 + (-0.5 - 3)²/4

= 4/25 + (-3.5)²/4

= 4/25 + 12.25/4

= 0.16 + 3.0625

= 3.2225

Since 3.2225 is not less than 1, the point (4, -0.5) does not lie in the solution set.

b) (3, –2.5):

Substituting the coordinates (3, -2.5) into the equation, we get:

(3 - 2)²/25 + (-2.5 - 3)²/4

= 1²/25 + (-5.5)²/4

= 1/25 + 30.25/4

= 0.04 + 7.5625

= 7.6025

Again, 7.6025 is not less than 1, so the point (3, -2.5) does not lie in the solution set.

c) (–2.5, 4):

Substituting the coordinates (-2.5, 4) into the equation, we get:

((-2.5) - 2)²/25 + (4 - 3)²/4

= (-4.5)²/25 + 1²/4

= 20.25/25 + 1/4

= 0.81 + 0.25

= 1.06

Since 1.06 is less than 1, the point (-2.5, 4) lies in the solution set.

d) (–4.5, –3):

Substituting the coordinates (-4.5, -3) into the equation, we get:

((-4.5) - 2)²/25 + (-3 - 3)²/4

= (-6.5)²/25 + (-6)²/4

= 42.25/25 + 36/4

= 1.69 + 9

= 10.69

Like the previous points, 10.69 is not less than 1, so the point (-4.5, -3) does not lie in the solution set.

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Complete Question:

Given equation

(x - 2)²/25 + (y - 3)²/4 < 1,

Which point lies in the solution set?

a) (4, –0.5)

b) (3, –2.5)

c) (–2.5, 4)

d) (–4.5, –3)

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Answer:

16.15

Step-by-step explanation:

15.4+0.75

3/4= 0.75

Answer:

Ivan had 288 sweet while Ken had 672 sweets

Step-by-step explanation:

Let the number of sweets owned by Ken and Ivan be k and v respectively.

After Ken gave away 5/7 of his sweet, what he had left

= k - 5k/7

= 2k/7

he had 2/3 as many sweets as Ivan then

2k/7 = 2v/3

Divide both sides by 2 and cross multiply

7v = 3k

Ivan then gave away 120 sweets, Ivan would have

v - 120 = k/4

multiply both sides by 4

4v - 480 = k

7v = 3(4v - 480)

7v = 12v - 1440

12v - 7v = 1440

5v = 1440

v = 1440/5

= 288

7v = 3k

7 * 288 = 3k

k = 7 * 288/3

= 672

Answer: B

Step-by-step explanation:

Use Math...

Answer:

18.75 I believe is the answer