Which of the following is equal to the expression listed below?35 + 28

Answer:

Step-by-step explanation:

The difference between a credit score of 699 and 700 is 14.125% and 13.125% APR interest rate for a 4-year (48-months) loan of $7500.

With APR of 14.125% compounded yearly, the total loan payment after 4 years is

= $7500 * (1 + 14.125%)^4

= $7500 * 1.14125^4

= $12722.85

With APR of 13.125% compounded yearly, the total loan payment after 4 years is

= $7500 * (1 + 13.125)^4

= $7500 * 1.13125^4

= $12282.75

So you will save by having a credit score above 700:

= $12722.85 - $12282.75

= $440.10

Please note that posting the same question multiple times does not usually help in getting an answer :)

The scale factor of the dilation is 4.472.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

Area of Circle = 10 π

This is dilated so that its image has an area of 25pi cm square.

For Original Circle

πr² = 10 π

r² = 10

r= √10

and, For dilated circle

πR² = 25 π

R² = 25

R = √25

R= 5

So, the scale factor is

R/ r = 5/ √10

R/r = 4.472

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Answer:

C. Move 3 units to the right and 5 units up, and draw a dot at that point.

Step-by-step explanation:

My YT is YoungGodlyFN is this helped!

Hey there! :)

Answer:

-1/3.

Step-by-step explanation:

Find the slope of the line using the slope formula:

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

Use two points from the graph and plug them into the equation. We can use the points (0, 3) and (3, 2):

\(m = \frac{2 - 3}{3 - 0}\)

Simplify:

m = -1/3. This is the slope of the line.

The correct equation is (a) because π/1 = C2/r2, \(C_2= 2\pi r\)

The complete question is added as an attachment

The given parameters are:

d1 = 1

d2 = 2r

The circumferences of the circles are calculated as:

C = πd

This gives

C1 = π * 1 = π

C2 = π * 2r = 2πr

So, we have:

C1 = π

C2 = 2πr

and

d1 = 1

d2 = 2r

Divide both equations

\(\frac{C_2}{d_1} = \frac{C_2}{d_2}\)

\(\frac{\pi}{1} = \frac{2\pi r}{2r}\)

This gives

\(\frac{\pi}{1} = \frac{C_2}{2r}\)

Hence, the correct equation is (a) because π/1 = C2/r2, \(C_2= 2\pi r\)

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Answer:

Its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since, lines l and m are parallel and a transverse is intersecting these lines.

5). (9x + 2)° = 119° [Alternate intrior angles]

    9x = 117 ⇒ x = 13

6). (12x - 8)° + 104° = 180°

     12x = 180 - 96

     x = \(\frac{84}{12}\) ⇒ x = 7

7). (5x + 7) = (8x - 71) [Alternate exterior angles]

    8x - 5x = 71 + 7

    3x = 78

    x = 26

8). (4x - 7) = (7x - 61) [Corresponding angles]

    7x - 4x = -7 + 61

    3x = 54

    x = 18

9). (9x + 25) = (13x - 19) [Corresponding angles]

    13x - 9x = 25 + 19

    4x = 44

    x = 11

   (13x - 19)° + (17y + 5)° = 180°[Linear pair of angles are supplementary]

    (13×11) - 19 + 17y + 5 = 180

    129 + 17y = 180

    17y = 180 - 129

     y = 3

10). (3x - 29) + (8y + 17) = 180 [linear pair of angles are supplementary]

     3x + 8y = 180 + 12

     3x + 8y = 192 -----(1)

     (8y + 17) = (6x - 7) [Alternate exterior angles]

     6x - 8y = 24

     3x - 4y = 12 -----(2)

     Equation (1) - equation (2)

     (3x + 8y) - (3x - 4y) = 192 - 12

     12y = 180

     y = 15

     From equation (1),

     3x + 8(15) = 192

     3x + 120 = 192

    x = 24

11). (3x + 49)° = (7x - 23)° [Corresponding angles]

    7x - 3x = 49 + 23

    4x = 72 ⇒ x = 18

    (11y - 1)° = (3x)° [Corresponding angles]

    11y = 3×18 + 1

     11y = 55 ⇒ y = 5  

12). (5x - 38)° = (3x - 4)° [Corresponding angles]

     5x - 3x = 38 - 4

     2x = 34

     x = 17

     (7y - 20)° + (5x - 38)° + 90° = 180°

     [Sum of interior angles of a triangle = 180°]

     7y + 5x - 58 = 90

     5x + 7y = 148

     5×17 + 7y = 148

     85 + 7y = 148

     7y = 148 - 85

     y = \(\frac{63}{7}=9\)

Angles can be congruent based n several theorems; some of these theorems are: corresponding angles, vertical angles, alternate exterior angles and several others.

The values of x and y are:

Question 5:

Angles (9x + 2) and 119 are alternate angles.

Alternate angles are equal. So, we have:

\(\mathbf{9x +2 = 119}\)

Subtract 2 from both sides

\(\mathbf{9x = 117}\)

Divide both sides by 9

\(\mathbf{x = 13}\)

Question 6:

Angles (12x - 8) and 104 are interior angles.

Interior angles add up to 180. So, we have:

\(\mathbf{12x -8 + 104 = 180}\)

Collect like terms

\(\mathbf{12x = 180 - 104 + 8}\)

\(\mathbf{12x = 84}\)

Divide both sides by 12

\(\mathbf{x = 7}\)

Question 7:

Angles (5x + 7) and (8x - 71) are alternate exterior angles.

Alternate exterior angles are equal. So, we have:

\(\mathbf{5x + 7 = 8x - 71}\)

Collect like terms

\(\mathbf{8x - 5x= 71 + 7}\)

\(\mathbf{3x= 78}\)

Divide both sides by 3

\(\mathbf{x= 26}\)

Question 8:

Angles (4x - 7) and (7x - 61) are corresponding angles.

Corresponding angles are equal. So, we have:

\(\mathbf{4x - 7 = 7x - 61}\)

Collect like terms

\(\mathbf{4x - 7x = 7 - 61}\)

\(\mathbf{- 3x = -54}\)

Divide both sides by -3

\(\mathbf{x = 18}\)

Question 9:

Angles (9x + 25) and (13x - 19) are corresponding angles.

Corresponding angles are equal. So, we have:

\(\mathbf{9x + 25 = 13x - 19}\)

Collect like terms

\(\mathbf{9x -13x = -25 - 19}\)

\(\mathbf{-4x = -44}\)

Divide both sides by -4

\(\mathbf{x = 11}\)

Angles (17y + 5) and (13x - 19) are supplementary angles.

So, we have:

\(\mathbf{17y + 5 = 13x - 19}\)

Substitute 11 for x

\(\mathbf{17y + 5 = 13\times 11 - 19}\)

\(\mathbf{17y + 5 = 124}\)

Subtract 5 from both sides

\(\mathbf{17y = 119}\)

Divide both sides by 17

\(\mathbf{y = 7}\)

Question 10:

Angles (3x - 29) and (6x - 7)  add up to 180

So, we have:

\(\mathbf{3x -29 + 6x - 7 = 180}\)

Collect like terms

\(\mathbf{3x + 6x = 180 + 7 + 29}\)

\(\mathbf{9x = 216}\)

Divide both sides by 9

\(\mathbf{x = 24}\)

Angles (3x - 29) and (8y + 17) are supplementary angles.

So, we have:

\(\mathbf{3x - 29 + 8y + 17 = 180}\)

Substitute 24 for x

\(\mathbf{3 \times 24 - 29 + 8y + 17 = 180}\)

\(\mathbf{43 + 8y + 17 = 180}\)

Collect like terms

\(\mathbf{8y = 180 - 43 - 17}\)

\(\mathbf{8y = 120}\)

Divide both sides by 8

\(\mathbf{y = 15}\)

Question 11:

Angles (7x - 23) and (49 + 3x) are corresponding angles

So, we have:

\(\mathbf{7x - 23 = 49 + 3x}\)

Collect like terms

\(\mathbf{7x - 3x = 49 + 23}\)

\(\mathbf{4x = 72}\)

Divide both sides by 4

\(\mathbf{x = 18}\)

Angles 3x and (11y - 1) are corresponding angles.

So, we have:

\(\mathbf{3x = 11y - 1}\)

Substitute 18 for x

\(\mathbf{3 \times 18 = 11y - 1}\)

\(\mathbf{54 = 11y - 1}\)

Collect like terms

\(\mathbf{11y =54+ 1}\)

\(\mathbf{11y =55}\)

Divide both sides by 11

\(\mathbf{y =5}\)

Question 12:

Angles (5x - 38) and (3x - 4) are corresponding angles

So, we have:

\(\mathbf{5x - 38 = 3x - 4}\)

Collect like terms

\(\mathbf{5x - 3x = 38 - 4}\)

\(\mathbf{2x = 34}\)

Divide both sides by 2

\(\mathbf{x = 17}\)

Angles (7y - 20) and (5x - 38) are angles at the other legs of a right-angled triangle.

So, we have:

\(\mathbf{7y - 20 +5x - 38 = 90}\)

Substitute 17 for x

\(\mathbf{7y - 20 +5 \times 17 - 38 = 90}\)

\(\mathbf{7y+ 27 = 90}\)

Collect like terms

\(\mathbf{7y=- 27 +90}\)

\(\mathbf{7y=63}\)

Divide both sides by 7

\(\mathbf{y=9}\)

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Answer:

Answer choice C

Step-by-step ex. 4 is the greatest number out of explanation:

The greater the absolute value is, the steeper it is. In this case, the absolute value of -4 is positive 4 since the absolute value shows how far a number is a ways from zero and is always positive. 4 is the largest number out of all of these choices which means it is the steepest slope.

Answer:

Step-by-step explanation:

(x+5)/2 = 6

x + 5 = 12

x = 7

(y + 2)/2= 4

y + 2 = 8

y = 6

(7, 6)

Answer:

Your answer is 15,207

Step-by-step explanation:

9535 + 5672 = 15,207

Answer:

The answer is 28

Step-by-step explanation:

Since the total measurements of triangle corners are equal to 180

Then

\(2x + 3x - 10 + 50 = 180 \\ 5x - 40 = 180 \\ 5x = 140 \\ x = 28\)

Based on the given information, it seems that you want to determine if the average salary of all entry-level computer engineers is significantly different from $80,000 at a 10% level of significance.

To do this, you can perform a hypothesis test using these steps:

1. State the null hypothesis (H0): The average salary is equal to $80,000.
2. State the alternative hypothesis (H1): The average salary is different from $80,000.
3. Choose a 10% level of significance (α = 0.10).
4. Calculate the test statistic and corresponding p-value using the sample data.
5. Compare the p-value to the level of significance (α).
6. Draw a conclusion:

- If the p-value is less than or equal to α (0.10), you reject the null hypothesis (H0) and conclude that there is significant evidence that the average salary of all entry-level computer engineers is different from $80,000.
- If the p-value is greater than α (0.10), you fail to reject the null hypothesis (H0) and cannot conclude that the average salary is significantly different from $80,000.

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{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

  ±{1, 2, 3, 6, 9, 18}

Step-by-step explanation:

You want the possible rational zeros of f(x)= x^3-6x^2+6x-18.

The rational root theorem tells you the possible rational zeros are of the form ...

  ±{divisors of the constant term} / {divisors of the leading coefficient}

Here, the leading coefficient is 1, so its only divisor is 1.

The constant term is 18, and its divisors are 1, 2, 3, 6, 9, 18.

The possible rational roots are ±{1, 2, 3, 6, 9, 18}.

__

Additional comment

A graph shows the only real root is between 5 and 6, so none of the roots are rational.

Answer:

def drugPotency(loss,expire):

   m=0

   effectiveness=100

   print('Month:',m,'\t','effectiveness:',effectiveness)

   while effectiveness>=expire:

       effectiveness=effectiveness*(1-loss/100)

       m+=1

       if effectiveness>=expire:

           print('Month:',m,'\t','effectiveness:',effectiveness)

       else:

           print('Month:',m,'\t','effectiveness:',effectiveness,'DISCARDED')

drugPotency(4.0,50.0)    

Step-by-step explanation:

Answer:

a) 3(17 )+ 4(9) = 81

b) 13.5m/s^2

Step-by-step explanation:

trust

..............

hope this helps :)

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

An exterior angle is equal to the sum of the remote interior angles:

  2x^2 +3x +6 = (8x) +(3x^2 -6x)

  x^2 -x -6 = 0 . . . . . . subtract the left-side expression, put in standard form

  (x -3)(x +2) = 0 . . . . .factor

The value of x is a value that makes a factor zero. These factors are zero when x=3 or x=-2. Only positive values of x will give positive angles in this geometry. The only useful solution is ...

  x = 3

Answer:

do you mean y=x-4-7 cause I can't understand that

Answer:

1= 23

2= 0.5

3= 1.45

4= 0.07

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

the answer is X= -1

the line is touching coordinates (-1,0)

Answer:

597

Step-by-step explanation: step by step explanation

The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)

Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0

Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8

Set up the initial simplex tableau:

┌───┬───┬───┬───┬───┐
│   │ x₁ │ x₂ │ s₁ │  1│
├───┼───┼───┼───┼───┤
│  1│ 0.3│ 0.1│  1  │1.8│
└───┴───┴───┴───┴───┘
```

Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).

Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.


The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.

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The correct answer is

0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal

Answer: The surface area of a square pyramid with a side length of 2m and slant height of 3m is 12 square meters.

Step-by-step explanation:

The surface area of a square pyramid can be calculated using the formula:

Surface area = Base area + 4 * (Area of one of the lateral faces)

The base area of the pyramid is the area of the square base, which is the side length squared: 2m * 2m = 4m^2

To find the area of one of the lateral faces, we can use the Pythagorean theorem to find the length of the face, which is the hypotenuse of a right triangle with the slant height and half of the side length as the other two sides.

so, (1/2 * 2m)^2 + 3^2 = x^2

x= (1/2 * 2m)^2 + 3^2

x = 2

Therefore, the surface area of the pyramid is:

Surface area = 4m^2 + 4 * 2m^2 = 4m^2 + 8m^2 = 12m^2

So, the surface area of a square pyramid with a side length of 2m and a slant height of 3m is 12 square meters.

The value of z that corresponds to a cumulative probability of 0.901 can be found by using the standard normal distribution table or a statistical calculator and that is approximately -1.67.

In the standard normal distribution, the area under the curve between -z and z represents the cumulative probability from negative infinity to z. Since the distribution is symmetric, the area from negative infinity to -z is also 0.5 - 0.901/2 = 0.0495.

To find the value of z, we need to locate the z-score that corresponds to an area of 0.0495 in the standard normal distribution. By looking up this value in the standard normal distribution table or using a statistical calculator, we find that z is approximately -1.67.

Therefore, the value of z that corresponds to a cumulative probability of 0.901 is approximately -1.67.

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Answer:

SA = 360π in²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone.

Using Pythagoras' identity to find l

l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

l = \(\sqrt{676}\) = 26

Then

SA = πrl + πr²

      = (π × 10 × 26) + (π × 10²)

      = 260π + 100π

      = 360π in²

Answer:

5

Step-by-step explanation: