Standard form of y=(X+3)^2-10

The value of d-bar for the set of difference scores is -2.5.

To find the value of d-bar for the set of difference scores, we first need to calculate the differences. Taking each score and subtracting the one before it, we get:

= -8 - 3 = -11

= 6 - (-8) = 14

= -4 - 6 = -10

 = -2 - (-4) = 2

differences = {-11, 14, -10, 2}

Next, we need to calculate the mean of these differences:

d-bar = (sum of differences) / (number of differences)

= (-11 + 14 - 10 + 2) / 4

= -5 / 2

Therefore, the value of d-bar for the set of difference scores is -2.5.

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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The value of 6 [4(-5)^n-1] when n is 1 is 24

This simply means replacing a known value for an unknown value in an expression.

For example, 5x²+2 , the value of the expression when x is -2 is solved by substituting -2 for x in the expression.

5x²+2 = 5(-2)² +2

= 5×4 +2

= 20+2

= 22

Similarly, the value of 6 [4(-5)^n-1] when n= 1 can be calculated by substituting 1 for n in the expression.

6 [4(-5)^n-1] = 6(4(-5)^1-1)

= 6(4(5)^0)

= 6 × 4 × 1

= 24

Therefore the value of 6 [4(-5)^n-1] when n= 1 is 24

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The average value of exam grade of students who studies is 92 and students those who did not studied is 68.

We have the following information for this case:

Students those who studied:

Exam grade: 94 96 90 88 88 100 78 95 97 94

The sample mean is calculated using the formula:

X = Σxi/n

If we replace the given values, we get:

X = (94 + 96 + 90 + 88 + 88 + 100 + 78 + 95 + 97 + 94)/10

  = 920 / 10

  = 92

Students those who did not study is :

Exam grade = 64 73 71 64 56 49 89 67 76 71 64 56 49 89 67 76 71

The sample mean is calculated using the formula:

X = Σxi/n

By substituting we get:

X= 64 + 73 + 71 + 64 + 56 + 49 + 89 + 67 + 76 + 71 + 64 + 56 + 49 + 89+ 67 + 76 +71

= 680 / 10

= 68

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Answer:

hello some information related to your question is missing

answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Step-by-step explanation:

From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

The length of side b of the given right angle triangle using law of sines is; b = 12.044 m

The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C

Thus;

a/sin A = b/sin B = c/sinC

The parameters are;

B = 42°

c = 18m

Since c is the hypotenuse, it is the side that will be opposite the right angle and so;

C = 90°

Thus, using sine rule;

c/sinC = b/sin B

18/sin 90 = b/sin 42

b = (18 * sin 42)/1

b = 12.044 m

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Answer:

Hey there!

Original function: f(x)=-x-3

Substituting -4: f(-4)=4-3

Simplify: f(-4)=1

Let me know if this helps :)

F(x) = -x - 3

F(-4)

Replace x with -4 and solve:

F(-4) = -(-4) -3

-(-4) = positive 4

So you have 4-3

4-3 = 1

F(-4) = 1

Answer:

Step-by-step explanation:

\(24\div 6+2\times 9 =4+18=22\)

÷  and × first followed by + and -.  But otherwise work left to right.

Answer:  22

Step-by-step explanation:

1.)  Solve using PEMDAS.

Answer:

12.8

12 1/2

12 2/5

12.09

Answer:

68 is the maximum

Step-by-step explanation:

look at the greatest number

Answer:

7.5

Step-by-step explanation:

hey hope this helps and is right

Answer:

A: 0 degrees

Step-by-step explanation:

(-2,3) and (-6,9) have the same slope and are both located in the second quadrant.

The angle between given vectors is 0°. So, option A is correct.

Important information:

Two vectors \(v_1\) and \(v_2\) are parallel if:

\(v_1=kv_2\)

Where, k is a constant.

\(3u=3\times (-2,3)\)

\(3u=(3\times (-2),3\times 3)\)

\(3u=(-6,9)\)

\(3u=v\)

It means u and v are parallel vectors and the angle between parallel vectors is always 0.

Therefore, the correct option is A.

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The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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Answer:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Step-by-step explanation:

To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.

Given:

Cruise ship velocity (south): 22 mph

Gulf Stream velocity (east): 4 mph

A) Vector component for the cruise ship:

The cruise ship is traveling south, so its velocity vector is (0, -22).

B) Vector component for the Gulf Stream:

The Gulf Stream is flowing east, so its velocity vector is (4, 0).

C) Resultant vector:

To find the resultant vector, we'll add the two velocity vectors together:

Resultant vector = Cruise ship velocity + Gulf Stream velocity

Resultant vector = (0, -22) + (4, 0)

Resultant vector = (0 + 4, -22 + 0)

Resultant vector = (4, -22)

D) Resultant velocity:

The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:

Resultant velocity = sqrt((x-component)^2 + (y-component)^2)

Resultant velocity = sqrt((4)^2 + (-22)^2)

Resultant velocity = sqrt(16 + 484)

Resultant velocity = sqrt(500)

Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)

E) Resultant direction:

The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.

Resultant direction = arctan(y-component / x-component)

Resultant direction = arctan(-22 / 4)

Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)

Therefore, the answers are:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Answer:

297 square feet

Step-by-step explanation:

Let w represent the width of the garden.

Since the length is 24 ft longer than the width, it can be represented by w + 24.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and w + 24 as l, then solve for w:

p = 2l + 2w

84 = 2(w + 24) + 2w

84 = 2w + 48 + 2w

84 = 4w + 48

36 = 4w

9 = w

So, the width is 9 ft. Add 24 to this to find the length:

24 + 9 = 33

So, the length is 33 ft.

Find the area of the garden with the formula A = lw:

A = lw

A = (33)(9)

A = 297

The area of the garden is 297 square feet.

Answer:

Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

Okay, here we have this:

We need to solve the following system:

x+y+2z=-7 (1)

-5z=25 (2)

3x-3y-6z=3 (3)

First we are going to clear z in (2):

-5z=25

z=-5

Now let's replace z=-5 in (1):

x+y+2z=-7

x+y+2(-5)=-7

x+y-10=-7 (4)

3x-3y-6z=3

3x-3y-6(-5)=3

3x-3y+30=3 (5)

Now let's clear x in (4):

x+y-10=-7

x=-y+3

Let's replace x=-y+3 in (5):

3x-3y+30=3

3(-y+3)-3y+30=3

-6y+39=3

Now, let's clear y:

-6y+39=3

y=(3-39)/-6

y=-36/-6

y=6

And finally we are going to replace y=6 in x=-y+3

x=-y+3

x=-6+3

x=-3

Finally we obtain that the solution of the system is x=-3, y=6 and z=-5.

Answer:

Thus percentile lies between 53.3% and 55.6 %

Step-by-step explanation:

First we arrange the data in ascending order . Then find the number of the values corresponding to the given value. Then equate it with the number of observations and x and then multiply it to get the percentile. n= P/100 *N

where n is the ordinal rank of the given value

N is the number of values in ascending order.

The data in ascending order is

0.1 0.2 0.2 0.2 0.3 0.6 0.6 0.6 0.7 0.8 0.8 0.8 0.9 1.3

1.5 1.7 1.9 2.2 2.3 2.3 2.6 2.8 3.3 3.5 5.5 6.1 6.4 6.9 7.5 7.9 8.3 9.8 10.1 11.8 11.9 12.1 12.3 12.7 12.9 13.8 13.8 14.6 14.7 14.8 27.5

Number of observation = 45

4.9 lies between 3.3 and 5.5

x*n = 24 observation x*n = 25 observation

x*45= 24 x*45= 25

x= 0.533 x= 0.556

Thus percentile lies between 53.3% and 55.6 %

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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The part that represents the solution to the inequality will be Part B shaded below first line and above second line.

From the information given, the equation of the first line will be:

y - 3 = (-3 - 3/2 + 4)(x + 4)

y - 3 = -1(x + 4)

y + x = -4 + 3

x + y = -1

The equation of the second line will be:

y + 3 = -1(x + 4)

y = x + 4 - 3

y = x + 1

This is plotted on the graph attached.

From the systems of equations, the statement that is correct about the two systems of equations is that They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.

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Answer:

Step-by-step explanation:

Either memorize these two formulas, or derive them through multiplying r - q by r - q.

(r - q)^2 = r^2 - 2qr + q^2, and

(r + q)^2 = r^2 + 2qr + q^2    This is the square of the binomial (r + q).

Answer:

max-3925 min-3075

Step-by-step explanation:

Answer:

GIVE BRAINLEIST PLZ Max is 3925 Min is 3075

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan j= 24/32

= 3/4

=0.75

tan k= 32/24

= 4/3

=1.3333

Answer:

A

Step-by-step explanation:

Answer:

Var = 6.31

Step-by-step explanation:

The Value at Risk (VAR)

\(P(X < x_o) = 0.01\)

By using normal distribution

Mean \(\mu\) = 10

Variance = 49

Standard deviation \(\sigma = \sqrt{49 } = 7\)

This implies that:

\(P\Big ( \dfrac{X - \mu}{\sigma } < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ P\Big ( Z < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ \dfrac{x_o - \mu }{\sigma} = invNorm(0.01) \\ \\ x_o = \mu + \sigma \times invNorm (0.01)\)

Using the z-table;

\(x_o = 10 + 7 \times (-2.33) \\ \\ x_o = -6.3100\)

Hence, there exist 1% chance that X < -6.31 or the loss from investment is > 6.31

From the calculated value above;

\(V = \mu -\sigma \times 2.33\); Since the result is negative, then it shows that the greater the value(i.e the positive or less negative it is ) the lower is the value of VAR. Thus, the least value of VAR is accepted by  the largest value of

\(min( \mu -\sigma \times2.33,0)\)

Answer:

She'll spend 192 because 2400 divided by 48 equals 50 times that by 3.84 which will give you 192.

Answer:

14 packages

Step-by-step explanation:

all you would do is 2,400 divide 48 to get 50 then do 50 divide by 3.84 to get 13.020 then you would round so you need about 14 packages.