How do I find the value of y?

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:

The Law of Cosines is used to solve triangles in which two sides and the included angle are given. It tells you ...

  b² = a² +c² -2ac·cos(B)

Filling in the given values, we find ...

  b² = 38² +41² -2·38·41·cos(74°)

  b² ≈ 2266.114

  b ≈ √2266.114 ≈ 47.604

__

Once the three sides and an angle are known, another angle can be found using the Law of Sines.

  sin(A)/a = sin(B)/b

  A = arcsin(a/b·sin(B)) ≈ arcsin(38/47.604·sin(74°)) ≈ arcsin(0.767334)

  A ≈ 50.1°

  C ≈ 180° -74° -50.1° = 55.9°

The other sides and angles are ...

_____

Additional comment

Triangle solver apps are available on many platforms: phone, tablet, web browser. Your calculator may have one.

4:7

Step-by-step explanation:

The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.

We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.

There is a total of 7 tortillas regardless of their type.

Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.

4:7 or 4 flour:7 in total

The ratio of flour tortillas to total tortillas is 4:7.

Answer:

I = $ 11.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 11%/100 = 0.11 per year,

then, solving our equation

I = 100 × 0.11 × 1 = 11

I = $ 11.00

The simple interest accumulated

on a principal of $ 100.00

at a rate of 11% per year

for 1 years is $ 11.00.

$22

Using the initial loan amount, interest rate, and term we can find the amount of simple interest paid.

Simple Interest

First, let's define simple interest. Simple interest is the simplest to calculate.  Simple interest is calculated based on the initial loan, aka the principle (P). Compound interest, on the other hand, is calculated based on the principle and any accumulated interest.

Solving for Interest

We are given every value we need, so we can just plug them into the given formula. The principle is the initial $100 loan, so P = 100. The interest rate is 11%, but for the formula, we should use this in decimal form. This way r = 0.11. Then, we are told the total time is 2 years, so t = 2.

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?

5 sticks / 2 bottles

25 sticks / x bottles

10 bottles

Answer:  10 bottles

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?

8 finished

4 finished / 1 left

8 finished / 2 left

10 total

Answer:  10 total problems

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?

7 sugar / 3 flour

63 oz sugar / x oz flour

27 oz flour

Answer:  27 oz flour

Write an equation for each using the variables provided.

For each pound there are 16 ounces.

Write an equation to express the total number of ounces (Z) in (Y) pounds.

1 lb / 16 oz

Z = 16Y

Equation:  Z = 16Y

Every dollar is 4 quarters.

Write an equation to express the total number of quarters (Q) in dollars (D).

1 dollar = 4 q

Q = 4D

Equation:  Q = 4D

Word Problems. You must show your work and answer to get full credit.

Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.

(copy & paste)

( H - 28 ) / ( G - 16 ) = 2 / 5

H - 28 = 2

H = 30

G - 16 = 5

G = 21

Henry:  30

Grace:  21

Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

3 clerks take 12 days to write 6 docs

1 clerk takes 4 days to write 2 docs

2 clerks take 8 days to write 4 docs

8 : 4

3/4 * ( 8 ) : ( 4 ) * 3/4

6 : 3

6 days

Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.

Step-by-step explanation: Hope this help. hit me up if u need some more help

Answer:

1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48

2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24

3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12

4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36

5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27

Step-by-step explanation:

The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.

For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.

Hopes this helps you!

Answer:

1. ∆CBD:      ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°

2. ∆CDA: ∠ACD = 70°;      ∠A = 20°; ∠ ADC = 90°

Step-by-step explanation:

1. ∆DBC

In ∆ABC

 ∠A + ∠B + ∠C = 180°

20° + ∠B + 90 ° = 180°

         ∠B + 110 ° = 180°

      ∠DBC = ∠B =  70°

In ∆CBD

                      ∠BDC =  90°

∠B + ∠BCD + ∠CBD = 180°

  70° + ∠BCD + 90 ° = 180°

           ∠BCD + 160° = 180°

                        BCD =   20°

2. ∆CAD

∠A + ∠ACD + ∠ADC = 180°

   20° + ∠ACD + 90° = 180°

            ∠ACD + 110° = 180°

                      ∠ACD =   70°

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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The standard form of the equation of the hyperbola is

[(y + 6)²/4] - [(x - 3)²/16] = 1.08

We have,

To find the standard form of the equation of a hyperbola, we need to know the locations of the vertices and the foci.

In this case, we are given the coordinates of the vertices, but we need to find the foci. However, we are also given that the hyperbola passes through the point (7, −12), which will allow us to find the foci.

First, let's find the center of the hyperbola.

Since the vertices have the same x-coordinate of 3, the center must be the point (3, −6), which is the midpoint of the two vertices.

Next, we can find the distance between the center and one of the vertices. Using the distance formula, we get:

d = √[(3 - 3)² + (-8 - (-6))²] = 2

Since the vertices are vertically aligned, we know that the distance from the center to each vertex is the same.

Therefore, the distance from the center to each vertex is also 2.

We can now use the Pythagorean theorem to find the distance from the center to each focus, which we will call c.

We know that c² = a² + b², where a is half the distance between the vertices (in this case, a = 2), and b is half the distance between the foci.

We want to solve for b.

Since the hyperbola passes through the point (7, −12), we know that the distance from this point to each focus is constant and equal to the distance from this point to the center of the hyperbola.

Using the distance formula, we can set up the following equation:

√[(7 - 3)² + (-12 - (-6))²] = sqrt[(7 - 3)^²+ (-12 - (-8))²] + b

Simplifying this equation, we get:

2 √(37) = 2 √(20) + b

b = √(37) - √(20)

Now that we have the values of a and b, we can write the standard form of the equation of the hyperbola:

[(y + 6)²/4] - [(x - 3)²/16] = 1 + [(√(37) - √(20))²/16]

Simplifying, we get:

[(y + 6)²/4] - [(x - 3)²/16] = 1.08

Therefore,

The standard form of the equation of the hyperbola is

[(y + 6)²/4] - [(x - 3)²/16] = 1.08

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Answer:

critical point of the given function f(x,y) = x²+y²+2xy is from line y = -x is the critical point of the function f(x0,y0) = 0

and it local minimum.

Step-by-step explanation:

Let the given function be;

f(x,y) = x²+y²+2xy

From above function, we can locate relative minima, maxima and the saddle point

f(x,y) = x²+y²+2xy = (x+y)²

df/dx = 2x+2y = 0 ---- (1)

df/dy =2y+2x = 0 ---- (2)

From eqn 1 and 2 above,

The arbitrary point (x0,y0) from line y = -x is the critical point of the function f(x0,y0) = 0

Then, from f(x,y) >= 0 for arbitrary (x,y) € R^n, the arbitrary point from the line x = -y is local minima of the function f.

Answer:

D-27

Step-by-step explanation:

4(7-3)+11

=28-12+11

=28+11-12

=28-1

=27

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Answer:

D 27

Step-by-step explanation:

To simplify 4 (7 - 3) + 11 we have to know the order of operations PEMDAS that has the meaning Parenthesis Exponents Multiplication Division Addition Subtraction.

Apply PAMDAS to our problem 4 (7 - 3) + 11

1. Parenthesis →solve what is in parenthesis 7-3= 4

4 (7 - 3) + 11  =

4 · 4 +11

2. Multiplication and Division →solve the multiplication 4·4 =16

4 · 4 +11 =

16 +11

3. Addition and Subtraction →add 16+11 = 27

16 +11 =

27

Answer:

the only one that i know is skill that is D Something you have already developed

Answer:

its 14,944 is the answer

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

Answer:

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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

Extra info:

The system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased is:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Wyatt purchased 2 more bottles of juice than bottles of soda, hence:

y = x + 2.

Each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar, and a total of 430 grams was purchased, hence:

30x + 40y = 430.

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The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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The net profit margin for the boots is 42.5%.

Net profit margin is the measure of  how much profit is generated as a percentage of revenue. It is the ratio of net profits to revenues.

Revenue from selling the boots is $80.

Total expenses = cost +  operating expenses

The cost is $30, and the operating expenses is 20% of the revenue. That is:

2/100 * $80 = $16.

Total expenses = $30 + $16 = $46

net profit = $80 - $46 = $34

Net profit margin = (Net profit / Revenue) * 100

                            = (34 / 80) * 100

                             = 42.5%

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Answer:

\((2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)\)

Answer:

30x+20

Step-by-step explanation:

(2*15x) is 30x

(2*10) is 20

30x+20 can't be further simplified

The chord nearest to the center is AC.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is πr².

We have,

ΔABC is inscribed in O.

AB=5

BC=8

AC=9

AB, BC, and AC are chords.

AC passes through the center of the circle.

So,

The chord nearest to the center is AC.

Thus,

The chord nearest to the center is AC.

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Answer:

78 tickets left to be sold

Step-by-step explanation:

87-9=78

Answer:

e

Step-by-step explanation:

Step 1:

To convert 4.2 to mixed number, first, you will convert to fraction.

Step 2;

Simplify the fraction to it lowest term

Step 3:

Next, convert the simplified fraction to mixed number.

Final answer

Answer:

Step-by-step explanation:

let the length of a leg of right angled associate triangle=x

x²+x²=(5√6)²

2x²=150

x²=150/2=75

x=√75=5√3

Answer:

133,64 $

Step-by-step explanation:

When we have the original price and we have to subtract a certain percentage, we multiply the price and percentage expressed as a fraction , like this:

242,99 * 55/100 = 13364.45/100 = 133.6445  approximately 133.64 $

Answer:

58.4

Step-by-step explanation:

52-4= 48

48-0.6= 47.4

47.4+11= 58.4

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