30 POINTS PLEASE HURRY
Jonathan and Kevin each rewrote and evaluated the expression (SEE PICTURE BELOW) They arrived at different answers.

Answer:

$ 164.68   markup

Step-by-step explanation:

22 3/8 % = 22.375 %    which is .22375 in decimal

  .22375 * $ 736 =  $ 164.68

Answer: 2:3

Step-by-step explanation:

First list out the factors for 32 and 48

32- 1, 2, 4, 8, 16, 32

48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The greatest factor they have in common is 16. So, divide both numbers by 16 to get the simplest form of the ratio.

32/16=2

48/16=3

The simplest form is 2:3

Answer:

4.96 dollars

Step-by-step explanation:

20-5.12=14.88

14.88/3= 4.96 dollars

so each pair of socks costs 4.96$

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x).  That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).

See the attached image.  The table shows how the values of y change for each value of x used in the respective function.  Plot those new values to produce the graph.

Answer:

C

Step-by-step explanation:

The y intercept is 3, so eliminate B and D.

Also, the slope is less than 1, so this eliminates A.

This leaves us with C.

Answer:

81 x 10^6

Step-by-step explanation:

x0000000

11111111x

22222222

33333333

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

88888888

99999999

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

The first digit and 8th digit column has only 9 numbers and the rest 6 column have 10 possible numbers

9 x 9 x 10^6 = 81 x 10^6

The height at 150°, 240°, and 315° will be 208.66 feet, 169.5 feet, and 40.34 feet, respectively.

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A Ferris wheel with a diameter of 214 feet was built in a city.

The top of the wheel stands 223 feet above the ground.

Then the radius will be

r = 214 / 2

r = 107 feet

The distance between the ground and bottom of the Ferris wheel will be

d = 223 – 214

d = 9 feet

Then the height will be given as

h = r(1 – cos θ) + h

h = 107(1 – cos θ) + 9

At θ = 150°, then the height will be

h = 107(1 – cos 150°) + 9

h = 208.66 feet

At θ = 240°, then the height will be

h = 107(1 – cos 240°) + 9

h = 169.5 feet

At θ = 315°, then the height will be

h = 107(1 – cos 315°) + 9

h = 40.34 feet

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Answer:

-3

Step-by-step explanation:

both are negatives, so think of it as addition

at the very end make sure you add the negative symbol :)

-1 1/3 - 1 2/3

1) [tex]OA=OB[/tex] (all radii of a circle are equal)

2) [tex]\angle OBA=52^{\circ}[/tex] (angles opposite equal sides in a triangle are equal)

3) [tex]\angle OAB+\angle OBA+\angle AOB=180^{\circ}[/tex] (angles in a triangle add to 180 degrees)

4) [tex]52^{\circ}+52^{\circ}+\angle AOB=180^{\circ}[/tex] (substitution)

5) [tex]\angle AOB=76^{\circ}[/tex] (subtraction)

6) [tex]\angle AOB+\angle BOD=180^{\circ}[/tex] (angles on a line add to 180 degrees)

7) [tex]76^{\circ}+\angle BOD=180^{\circ}[/tex] (substitution)

8) [tex]\angle BOD=104^{\circ}[/tex] (subtraction)

9) [tex]\angle ODE=\angle OBC=90^{\circ}[/tex] (tangents are perpendicular to the radius of a circle at the point of tangency)

10) [tex]\angle ODC=117^{\circ}[/tex] (angle addition postulate)

11) [tex]\angle BOD+\angle OBC+\angle ODC+\angle DCB=360^{\circ}[/tex] (angles in a quadrilateral add to 360 degrees)

12) [tex]104^{\circ}+90^{\circ}+117^{\circ}+\theta=360^{\circ}[/tex] (substitution)

13) [tex]\theta=49^{\circ}[/tex] (subtraction)

The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

It is defined as a three-dimensional space enclosed by an object or thing.

As we know,

Volume = base area×height

38.4 = base area×4

base area = 38.4/4 = 9.6 square cm

A mathematically similar paperweight has a height of 7 cm.

Volume = base area×height

Volume = 9.6×7 = 67.2 cubic cm

Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

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Answer:

A. Exponential growth function

Answer:

yes,you can buy the textbook

Step-by-step explanation:

determine discount

60 × 0.2(decimal form of 20%)

=12

apply discount

60-12

=48

50>48✓

[tex]15 \leq X \leq 25[/tex] is the equation represents the drivers allotted time (x) to receive a bonus.

An absolute value inequality is an expression with absolute functions as well as inequality signs.

According to the question:

Mathematically absolute value inequality is represented as :

|X -20|≤ 5

Solving the equation using

|z| ≤ a→ -a ≤ z  ≤ a :

here, z = X- 20 and a = 5:

[tex]| X-20| \leq 5\\\\ - 5\leq X-20 \leq 5[/tex]

By Solving X adding 20 on the three sides of the inequality

[tex]-5 + 20 \leq X -20 +20 \leq 5 + 20[/tex]

By simplifying it:

[tex]15 \leq X \leq 25[/tex]

Therefore the equation or inequality which represents the drivers allotted time (x) to receive a bonus [tex]15 \leq X \leq 25[/tex]

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Step-by-step explanation:

hope you can understand

The income elasticity for the household is -1.05.

Income elasticity measures how quantity demanded changes when there is a change in the income of a person / household

Income elasticity = percentage change in quantity demanded / percentage change in income

Income elasticity = -21% / 20 = -1.05

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Answer:

Add all of the sides up:

x^2 + y + 6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2

= 5x^2 + 12x + 2y^2 + 5y

Answer: -4

Step-by-step explanation: Notice that the increments in the graph do not go in 1's, but in 2's. Meaning the first line is 2, and second line is 4, and in the middle is 3. Be careful.

The range is where the line on the graph hits the y-axis (horizontal line, or line going up). The only possible place the line hits the y-axis is at -4. No other y-value. Thus, the range of the function is -4.

Answer:

- 439

Step-by-step explanation:

evaluate f(- 7) and substitute the value obtained into s(x)

f(- 7) = 3(- 7) = - 21 , then

s(- 21) = 2 - (- 21)² = 2 - 441 = - 439

Answer:

A. (s*t)(-7)=-439

Step-by-step explanation:

(s*t)(-7) is the same as s(t(-7)). First find t(-7)

t(-7)=3(-7)=-21

t(-7)=-21

Plug -21 into s(t(-7)) for t(-7).

Find s(-21).

s(-21)=2-(-21)^2=-441+2=-439

Hope this helps!

If not, I am sorry.

The value of a is 14.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

Given:

tan3a=cot2a​

tan 3a=  tan (90- 2a)

On comparing

3a= 90- 2a

5a= 90

a= 14

Hence, the value of a is 14.

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The value of x in the second matrix is -1

The operation is given as:

[tex]\left[\begin{array}{ccc}2&-1&1\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}4&11&5\end{array}\right] \to \left[\begin{array}{ccc}0&-3&x\\1&1&1\\4&-2&2\end{array}\right] \left[\begin{array}{c}-18&11&5\end{array}\right][/tex]

Let the rows be represented by R1, R2 and R3.

By observation, the row operation performed is:

[tex]R1 \to R1 - 2R2[/tex]

This means that:

The new elements of row 1 are gotten by subtracting twice the elements of row 2 from row 1.

Using the above operation, we have:

x = 1 - 2 * 1

Evaluate the difference

x = -1

Hence, the value of x is -1

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I believe the answer is -2, 7

Answer:

I don't see the equation options.  See below for a predicted equation.

y= (2/3)x + 4

Step-by-step explanation:

The points are (-3,2), (0,4), and (3,6).  I will assume they lie in a straight line.

Find an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

m, the slope, is also known as the "Rise/Run."

Pick any two points.  I'll use (0,4) and 3,6)

Rise = (6-4) = 2

Run  = (3-0) = 3

Slope = 2/3

The equation becomes y = (2/3)x + b

B is easy in this case.  Point (0,4) tells us that y = 4 when x = 0 (the definition of b).

The equation is y= (2/3)x + 4

See the attached graph.

The expression for YYY is (d) (x >= 50) && (x <= 100)

The instruction is given as:

If (YYY) {

// Output "50, 51, ..., 99, 100"

}

The value of x is given as:

x = 50 to 100 (inclusive)

This means that:

x must be greater than or equal to 50 AND x cannot exceed 100

The keyword AND is represented as &&.

So, the condition is:

x >= 50 && x <= 100

Hence, the expression for YYY is (d) (x >= 50) && (x <= 100)

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If 3 ft = 1yard

?        = 16 yards?

Thats [tex]\frac{16 yards * 3ft}{1yard}[/tex]

The common values cancel each other out and you'll have 48 feet :)

Answer:

-¾

Step-by-step explanation:

gradient = delta y over delta x

gradient = 0 - 3 / 5 - 1

gradient = -3 / 4

Answer:

The equation of the line is y ≥ 1/3(x)-1

Step-by-step explanation:

Given

The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1

The line passes through the points (0,-1)  and (3,0)

The slope can be obtained as follows,

m = 0-(-1)

        3-0

    = 1/3

The linear equation with slope and intercept  is given as follows.

y = mx + c

Substitute 1/3 for m, 3 for x and 0 for y  in equation  to obtain the value of

c .

0 = 1/3 *3 + c

c= -1

To check whether the equation includes origin substitute 0 for x and 0 for y in equation

Therefore, y≥ mx+c

                      = 1/3*x-1

Hence, Linear inequality represented is y ≥ 1/3(x) -1

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Answer:

Given - angle X = angle A

angle Z = angle C

To find - criteria of congruence

Solution -

In triangle BAC and triangle YXZ

angle X = angle A

angle Z = angle C

we need one pair of side to be comgruent to show the following traingles congruent

if AC is congruent to XZ

then by angle side angle criteria of triangle both the triangles are congruent..

Answer:

1,29

Step-by-step explanation:

74*2pi/360

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