Which pair of angles are coterminal with 120°?

240°, 600°

-240°, -600°

180°, -360°

-60°, 300°

Answer:

btw way you all this means

Step-by-step explanation:

Two books cost 125 MDL together. Knowing that the price has risen by 10% and the other by 20%, after the cost of the cars costs 143.5 lei together with the initial price of each book

ANSWER

The next two terms are

338, 434

EXPLANATION

The given sequence is 14,38,74,122,182,254

Let us observe some pattern and use it to find the next two terms.

14+24=38

38+36=74

74+48=122

122+60=182

182+72=254

To get the next term we add 84 to 254

254+84=338

To get the next term,we add 96 to 338

338+96=434

ANSWER

The points (1,2) and (7,2) lie on the given curve.

EXPLANATION

The given parametric equations are:

[tex]x = 3t + 4[/tex]

and

[tex]y = 2 {t}^{2} [/tex]

We make t the subject in the first equation to obtain:

[tex]t = \frac{x - 4}{3} [/tex]

We substitute this into the second equation to get:

[tex]y =2{(\frac{x - 4}{3} )}^{2} [/tex]

When x=1,

[tex]y = 2 {(\frac{1 - 4}{3} )}^{2} = 2[/tex]

When x=2

[tex]y =2{(\frac{2- 4}{3} )}^{2} = \frac{8}{9} [/tex]

When x=7,

[tex]y =2{(\frac{7 - 4}{3} )}^{2} = 2[/tex]

Therefore the points (1,2) and (7,2) lie on the given curve.

The points are on a plane curve described by the following set of parametric equations are:(1,2), (7,2).

Given:

x= 3t+4 and y= 2t²

Hence:

x=3t +4 = t=(x-4)/3

y=2t² =y=2[(x-4)/3]

y=2[(x-4)/3]²

When x=1

y=2(1-4/3)²

y=2(-3/3)²

y=2(1)

y=2

When x=7

y=2(7-4/3)²

y=2(3/3)²

y=2(1)

y=2

Therefore the points are on a plane curve described by the following set of parametric equations are:(1,2), (7,2).

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Answer:

100.8°

Step-by-step explanation:

∠POR = ∠POQ + ∠QOR

∠POQ is 20% of 360° ( measure of the angles in a circle )

= 0.2 × 360° = 72°

∠QOR is 8% of 360° = 0.08 × 360° = 28.8°

Hence

arc PR = ∠POR = 72° + 28.8° = 100.8°

ANSWER

[tex]( {y - 8)}^{2} = - 28(x + 5)[/tex]

EXPLANATION

The given parabola has directrix x=2.

This implies that, the parabola is opens in the direction of the negative x-axis because it must open in a negative direction to the directrix.

The equation of such parabola is of the form:

[tex]( {y - k)}^{2} = 4p(x - h)[/tex]

where (h,k)=(-5,8) is the vertex.

[tex] |p| = | - 2 - 5| = 7[/tex]

[tex]p = \pm7[/tex]

But the parabola opens to the left.

p=-7

The equation now becomes

[tex]( {y - 8)}^{2} = 4( - 7)(x - - 5)[/tex]

[tex]( {y - 8)}^{2} = - 28(x + 5)[/tex]

Answer:

  $2169.49

Step-by-step explanation:

The mortgage payment is ...

  A = (210,000·0.95)(0.045/12)/(1 -(1 +0.045/12)^(-12·15)) ≈ 1526.16

The monthly set-aside for taxes is ...

  3.5%·200,000/12 = 583.33

The monthly set-aside for insurance is ...

  720/12 = 60

So the total of P&I + taxes + insurance will be ...

  $1526.16 +583.33 +60.00 = $2169.49

Answer:

2202.72

Step-by-step explanation:

just got the answer right on the quiz

Answer:

Question 1 -  f(x) = | x | - 2

First, let's find the 5 values requested:

x = -2 ==> | x | - 2 = | - 2 |  - 2 = 2 - 2 = 0

x = -1 ==> | x | - 2 = | - 1 |  - 2 = 1 - 2 = -1

x = -0 ==> | x | - 2 = | 0 |  - 2 = 0 - 2 = -2

x = 1 ==> | x | - 2 = | 1 |  - 2 = 1 - 2 = -1

x = 2 ==> | x | - 2 = | 2 |  - 2 = 0 - 2 = -2

You can see the plotted graph attached.

Question 1 -  f(x) = | x  - 1 | - 1

First, let's find the 5 values requested:

x = -2 ==> | x  -  1 | - 1 = | - 2 - 1 |  - 1 = | - 3 | - 1 = 3 - 1 = 2

x = -1 ==> | x  -  1 | - 1 = | - 1 - 1 |  - 1 = | - 2 | - 1 = 2 - 1 = 1

x = 0 ==> | x  -  1 | - 1 = | 0 - 1 |  - 1 = | - 1 | - 1 = 1 - 1 = 0

x = 1 ==> | x  -  1 | - 1 = | 1 - 1 |  - 1 = | 0 | - 1 = 0 - 1 = -1

x = 2 ==> | x  -  1 | - 1 = | 2 - 1 |  - 1 = | 1 | - 1 = 1 - 1 = 0

You can see the plotted graph attached.

Answer:

∠H= 109º

∠F = 71º

∠G = 109º

Step-by-step explanation:

∠I = 71º

Interior opposite angles of parallel lines sums up to 180º.

∠H = 180 - 71 = 109º

Line IH is equal to Line FG.

∠F = ∠I

∠F = 71º

∠G = ∠H

∠G = 109º

Final answer:

To calculate the commission, multiply the sale price of $8,800 by the commission rate of 5% to get a commission of $440.

Explanation:

The question is asking to calculate the commission a salesperson earns from selling a used car. The salesperson earns a 5% commission on the sale price of the car, which is $8,800. To find the commission, we multiply the sale price by the commission rate:

Sale Price = $8,800
Commission Rate = 5% (or 0.05 in decimal form)

Commission = Sale Price × Commission Rate
Commission = $8,800 × 0.05
Commission = $440

Therefore, the salesperson earns a commission of $440.

Answer:

818.4 in²

Step-by-step explanation:

shaded region = area of sector - area of triangle

area of sector = area of circle × fraction of circle

A = π × 27.8² × [tex]\frac{150}{360}[/tex] ≈ 1011.65 in²

area of triangle = 0.5 × 27.8 × 27.8 × sin150° ≈ 193.21 in²

shaded region = 1011.65 - 193.21 ≈ 818.4 in²

Answer:

y = 51.3°

Step-by-step explanation:

tan(y) = Opp./Adj

tan(y) = 10/8

tan(y) = 1.25

y = 51.3°

Answer:

Option a

[tex]f(x) = e^{x-1} -2[/tex]

Step-by-step explanation:

If the graph of the function [tex]y=f(x+h) +b[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If [tex]b> 0[/tex] the graph moves vertically upwards b units.

If [tex]b <0[/tex] the graph moves vertically down  b units

If [tex]h<0[/tex] The graph moves horizontally h units to the right

If [tex]h>0[/tex] The graph moves horizontally h units to the left

In this problem we have the parent  function [tex]y=e^x[/tex]

We know that the parent function is translated 1 unit rigth and 2 units down.

This is:

[tex]h<0 = -1\\\\b < 0 = -2[/tex]

Finally the transformation is:

[tex]y=f(x-1) -2[/tex]

[tex]f(x) = e^{x-1} -2[/tex]

Answer:

16

Step-by-step explanation:

1 gallon is equal to 8 pints.

2 gallons is equal to 16 pints.

Answer:

  C)  f(x) = tan^-1(x)

Step-by-step explanation:

The question is equivalent to asking which trig function passes the horizontal line test over the domain (-90°, 90°). Both the sine function and the tangent function are defined on that domain and pass the horizontal line test.

The inverse sine function has a range of [-90°, 90°] (with square brackets, signifying the end points are part of the range). The inverse tangent function does not have a range that includes ±90°, so is a better match for the range in the question.

Answer:

225/756

Step-by-step explanation:

275+256+225

=756

We want to know what are the odds of selecting a seventh grader which is:

225/756

Answer:

Answer is A

Step-by-step explanation:

Answer:

z = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Given z is directly proportional to x and inversely proportional to y then the equation relating them is

z = [tex]\frac{kx}{y}[/tex] ← k is the constant of proportionality

To find k use the condition x = 7, y = 7 and z = 2

k = [tex]\frac{zy}{x}[/tex] = [tex]\frac{2(7)}{7}[/tex] = 2

z = [tex]\frac{2x}{y}[/tex] ← equation of proportionality

When x = 10 and y = 12, then

z = [tex]\frac{2(10)}{12}[/tex] = [tex]\frac{20}{12}[/tex] = [tex]\frac{5}{3}[/tex]

Final answer:

To find the total cost of a CD with a 20% discount and 8% sales tax, calculate the discount on the original price, subtract it to find the discounted price, then add the sales tax to this discounted price. The total cost comes out to $12.10.

Explanation:

Calculating the Total Cost of a CD Including Discount and Sales Tax

Firstly, to determine the sale price of the CD that usually sells for $14.00 with a 20% discount, we apply the discount percentage to the original price. We convert 20% to its decimal form, which is 0.20, and multiply by $14.00 to find the amount discounted: $14.00 × 0.20 = $2.80. Subtracting this discount from the original price, $14.00 - $2.80, gives us the discounted price of the CD, which is $11.20.

Next, to calculate the total cost including a sales tax of 8%, we first convert the tax rate to its decimal form, 0.08, and multiply it by the discounted price: $11.20 ×0.08 = $0.896. Rounding to the nearest cent, the sales tax is approximately $0.90. Adding the sales tax to the discounted price, $11.20 + $0.90, gives us the total cost of the CD, which is $12.10.

Therefore, the total price of the CD, including the 20% discount and the 8% sales tax, is $12.10.

ANSWER

(1,0) is a solution

EXPLANATION

The given inequality is

[tex]y \leqslant |x + 2|- 3[/tex]

We substitute the point to see which ones satisfy the inequality.

For (1,0)

[tex]0\leqslant|1+ 2|- 3[/tex]

[tex]0\leqslant 0[/tex]

This is true.

(1,0) is a solution.

For (-1-1)

[tex]- 1\leqslant | - 1 + 2|-3[/tex]

[tex]- 1\leqslant-2[/tex]

False

(-1,-1) is not a solution.

For (0,0)

[tex]0\leqslant|0+2|-3[/tex]

[tex]0\leqslant- 1[/tex]

False.

For (0,1)

[tex]1\leqslant|0+ 2|-3[/tex]

[tex]1\leqslant-1[/tex]

This is also false

Answer:

D.

Step-by-step explanation:

Use the equation m=y2-y1/x2-x1 to get the equation of both lines. Then, substitute numbers in to get the y-intercept. For example, for line A, you get y=4x+8. This is because 12-0/1--2 = 12/3 or 4. Then, do 12=4(1)+b. 12-4 = 8, so b equals 8. Do the same for the other line. Then, use the substitution method. This is where you take both equations and combine them without using y. For example, -2x+12=4x+8. You add 2x to 4x and get 6x. Then, you subtract 8 from 12 and get 4. We get x=4/6, which simplifies into 2/3. Then, you substitude that into one of the equations. 2/3 times 4 is 8/3 and add 8 to it. Multiply 8 by 3 to get that amount in thirds. You will get 8/3 plus 24/3 to get 32/3 as your y-value.

To find where two lines intersect, you set their equations equal to each other to solve for x, then substitute x into one equation to solve for y. The point of intersection in the example is (0.67, 4.34).

To find the point where Line A intersects with Line B, you first need to write out the equations for both lines. Assuming you know the slope and y-intercept of each line, an equation for a line takes the form y = mx + b, where m is the slope and b is the y-intercept. For example, if Line A is y = 2x + 3 and Line B is y = -x + 5, you would set the two equations equal to each other, like this: 2x + 3 = -x + 5. Solving for x, you'd get x = 0.67. Then, you would substitute x into either line's equation for y (I'll use Line A): y = 2(0.67) + 3 = 4.34. So, the point of intersection would be (0.67, 4.34).

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option B is right answer

Solving Trigonometric Equations Using Inverses Quiz part 1

1. -2

2. -0.36

3. C

4. tan^2theta = sin^2theta × sec^2theta (This Question)

5. 60 degrees

6. 0.71

7. 0.09

8. 2pi/3 , 4pi/3

9. pi/4 , 5pi/4

Step-by-step explanation: I just took it...

These are the correct answers you're welcome

Answer:

8

Step-by-step explanation:

We want to evaluate the function f(x) = 3(log to the base 2 of x) + (log to the base 2 of 1/x) at x = 16.

Note that 2^4 = 16, so (log to the base 2 of 16) is 4.

Also note that 1/16 = 1/(2^4), so (log to the base 2 of 1/(2^4 is -4.

In summary, f(x) = 3(log to the base 2 of x) + (log to the base 2 of 1/x) at x = 16 is equal to 3(4) -4, or 8.

Answer:

  see below

Step-by-step explanation:

The images are mirrored right/left, so the reflection must be across the y-axis. That only leaves two answer choices.

If you translate ABC to the left, you will put it entirely in quadrant II, so reflection across the y-axis will put it in quadrant I. Obviously, that is not the correct sequence of transformations.

If you translate ABC 3 units to the right, it will put line AB on x=2. Then reflection across the y-axis will put that vertical segment on x = -2, exactly where corresponding segment DE is located.

The appropriate choice is the one shown below:

Answer: x=7 y=8

Step-by-step explanation:width is x and the width is 7inches

height is y and the diagonal length 8inches

Answer: [tex]x\geq0[/tex] or [tex][0,\infty)[/tex]

Step-by-step explanation:

You have the function:

[tex]y=\sqrt{x}[/tex]

The domain of the function is the set of all the possible input values that the function can has.

We know that the square root of a negative number is not defined in the Real numbers. Therefore, "x" cannot be a negative number.

Then the domain of f(x) will be:

[tex]x\geq0[/tex] or [tex][0,\infty)[/tex]

Answer:

Step-by-step explanation:

Can you write this as y = √x?

The domain of the function y = √x is [0, ∞ ).  In elementary algebra, before you encounter imaginary numbers, y = √x is not defined for negative x.

Answer:

option B

Step-by-step explanation:

Use a compass to draw a circle centered at B with a radius that is length of AB.

then  draw a circle centered at A with a radius that is length of AB

join the point of intersection of two circles through straight lines to point A and point B.

!

Answer with explanation:

Given a circle having center A, and radius equal to AB.

   One side of equilateral Triangle = AB

We have to draw two sides which have length equal to AB.

Draw a circle having center B and radius equal to AB.The Circle will pass through center A and cuts the Original circle at P.Join AP and BP.This is the equilateral triangle that we are interested in.

The Next in the construction of an equilateral triangle is:

Option B:→ Use a Compass to draw a circle centered at B with a radius that is equal to AB.

For this case we must rewrite the following expression:

[tex]x ^ {\frac {9} {7}}[/tex]

By definition of properties of powers and radicals we have to:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Then, the expression can be rewritten as:

[tex]x ^ {\frac {9} {7}} = \sqrt [7] {x ^ 9}[/tex]

If we want to simplify:

[tex]\sqrt [7] {x ^ 9} = \sqrt [7] {x ^ 7 * x ^ 2} = x \sqrt [7] {x ^ 2}[/tex]

ANswer:

[tex]x ^ {\frac {9} {7}} = \sqrt [7] {x ^ 9} = x \sqrt [7] {x ^ 2}[/tex]

Answer:5√2(cos(−π/4)+ isin(−π/4)) is in trig form

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a circle is A = πr², and diameter of a circle is d = 2r.

d = 2r

72 = 2r

r = 36

A = πr²

A = π(36)²

A = 1296π

A ≈ 4069

Math is right about the answer

Answer:

There similar

Answer: Similar and Same shape

Step-by-step explanation:

I got it wrong and these were the correct answers ON G