use the graph to find the value of y = sin theta for the value of theta.

1/4pi radians

a. -0.7
b. 0.7
c. -0.9
d. 0.9

Answer:

p=-36

Step-by-step explanation:

-18=p/2

______________________

Multiply both sides by 2

-18(2)= p/2 (2)

______________________

-36 = p

switch the sides of the equation

______________________

p=-36

Answer:

[tex]x^{4}[/tex] + x³ - 10x² + 20x

Step-by-step explanation:

expand (x - 2)² and (x + 2)(x + 3) using FOIL

= (x² - 4x + 4)(x² + 5x + 6)

multiply each term in the second factor by each term in the first factor

= [tex]x^{4}[/tex] + 5x³ + 6x² - 4x³ - 20x² - 24 + 4x² + 20x + 24 ← collect like terms

= [tex]x^{4}[/tex] + x³ - 10x² + 20x

Answer:

242 dollars / month. See guidelines below

Step-by-step explanation:

That depends largely on where she lives. The rule of thumb is to allow about 1/3 for rent after the government takes it's cut (that's all governments).

Here is an actual breakdown of how budgeting should be done.

These numbers are meant for Canada and are meant as a guide. In reality, if you live in the United States you will have to be spending more on medical for example and less somewhere else.

Now to your question. She has 29000 dollars. Debt is listed at 10%

10% of 29000 = (10/100) * 29000 = 2900 dollars.

Like most numbers having to do with money, most people don't understand large numbers and have to have them broken down.  In monthly terms, she can spend 2900 / 12 = 241.67 dollars / month on debt. That does not mean that she can add 241.67 of new debt every month. It means that she must first pay off what she owes, and then she gets to spend the balance on debt, but that is a very dangerous way to think. What she should say is if she has left over money that money can be transferred over to another category.

I know of very few people that can consider themselves debt free. Fewer of our American friends can make the claim.

The sources of these %s come from Credit Counselling Society (of Canada)

Answer:

7

Step-by-step explanation:

3*8=24 and so 3*7 would =21 and 21+24=45

Jesse walked 7 dogs on Monday.

To find this answer, you must first find out how much money he made for walking dogs on Tuesday. To do so, multiple 8 (number of dogs) by 3 (amount of money earned per dog. This will give you 24, which you subtract from the total (45). 45 - 24 = 21. Finally, divide 21 (amount he made on Monday) by 3 (amount of money earned per dog) to get 7 dogs on Monday.

I hope this helps!

76 points/ 4 points per questions means he answered 19 questions correctly

plus the 10 he answered incorrectly  

76/4+10=x

19+10=x

29=x

Answer:

275 km  

Step-by-step explanation:

It has 1 - 3/8 = 5/8 of a tank left.

3/8  of a gallon gives 165 km

So 1 gallon  gives  165 / 3/8  = 165 * 8/3 km

5/8 gallon gives 168 * 8/3 * 5/8 km

= 165 * 5/3

=  275 km  (answer)

Answer:

0

Step-by-step explanation:

Answer:

IT ALL EQUALS TO 0.

Step-by-step explanation:

Step 1: Parenthesis:

16 - 4[3 + 2 / 2]

Sep 2: dO DIVISION IN THE BRACKETS:

16 - 4[3 + 1]

Step 3: Add what is in the brackets

16 - 4[4]

Step 4: Multiply

16 - 16

Step 5: Simplify

0

Answer:

The Answer is 10 times as much.

Step-by-step explanation:

We know that the 4 in 24,601 is 4000. We also know that the 4 in 437 is 400. If we do 4000/400, we get 10 times as much!

I hope this helps.

Answer:

C. 320 Cm

Step-by-step explanation:

To convert any value in meters to centimeters, just multiply the value in meters by the conversion factor 100.

3.2 meters=3.2*100=320 centimeters

Answer:

CD

Step-by-step explanation:

The fastest way to get from D to AB is to go down CD

The distance from the point D to line AB is represented by the distance CD.

To find out the distance from a point to a line we have to draw a perpendicular to the line from a given point, this distance will be considered as the distance between the point and line.

Hence the distance from point D to line AB is CD(option A).

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After simplifying Mateo's equation, we find that it results in an impossibility (2=-2), which means that the equation has no solution.

In order to find the number of solutions to Mateo's equation, we first need to simplify it. The equation given is 8-2(3-x)=4x-2(x+1). Distributing the numbers on each side of the equation, it turns into 8-6+2x = 4x -2x -2. Simplify it further into 2x + 2 = 2x - 2. If we subtract 2x from both sides, we get 2 = -2.

This result, 2 = -2, is not possible or true. Therefore, the given equation has no solutions. The correct answer to the question is therefore option A: No solution.

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Answer:

1440π squared mm.

Step-by-step explanation:

Given is the radius of base of cylinder, r = 12mm.

The altitude is five times the base radius, h = 5 times 12mm = 60mm.

The lateral area of the cylinder is the curved surface area of the cylinder.

The formula for curved surface area of cylinder is as follows:-

Curved Surface Area = Circumference of base x altitude of cylinder.

SA = 2πrh = 2π•12•60 = 1440π sq. mm.

Hence, Lateral area of cylinder is 1440π squared mm.

Answer:

1440π

Step-by-step explanation:

We are given the radius of the base of a right cylinder to be 12 mm and its altitude or height to be 5 times the base radius which is equal to (12 x 5) = 60 mm.

We know the formula for the lateral area of a right cylinder:

[tex]A = 2\pi rh[/tex]

So putting in the given values with [tex]\pi[/tex] as it is to get:

[tex]A=2\pi *12*60[/tex]

[tex]A=2(720)\pi[/tex]

[tex]A=1440\pi[/tex]

Therefore, the lateral area of this right cylinder is 1440π.

Answer:

The helicopter still needs to fly up sec 17.0886 at maximum speed.

Step-by-step explanation:

To find out how far the helicopter went down do 100(seconds) * 10.5 and get 1050

Then how much he traveled back up same thing 150 (seconds) * 5.2 and get 780

Next  find the difference 780-1050 and get -270 ft it is negative because it is still BELOW GROUND ( That's how you know if it need to fly up or down)

Last to find how many seconds you need you work backwards so instead of multiplying you do the opposite witch is dividing so you take your feet (270) and divide by the maximum speed (15.8). 270/15.8 is 17.08

Answer:

9

Step-by-step explanation:

Answer:

1824

That would be your total

Answer:

1824

Step-by-step explanation:

12*8+(12^3)=

We need to work these in the order of PEMDAS.  First is the parentheses and exponents.

12*8 + 1728

Next is multiplication.

96+1728

Now add.

1824

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=16\pi \end{cases}\implies 16\pi =\pi r^2\implies \cfrac{16\pi }{\pi }=r^2\implies 16=r^2 \\\\\\ \sqrt{16}=r\implies 4=r~\hfill \stackrel{\textit{diameter is twice the radius}}{d=8}[/tex]

Answer:

B. x3 + 4x2 − x + 3

Step-by-step explanation:

(−7x^3 + 5x^2 − x + 6) − (−8x^3 + x^2 + 3)

Distribute the negative sign

(−7x^3 + 5x^2 − x + 6) + (8x^3 - x^2 - 3)

I like to line them up vertically.

−7x^3 + 5x^2 − x + 6

8x^3 - x^2           - 3

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

x^3    +4x^2  -x  +3

The simplified form of the expression ( –7x³ + 5x² – x + 6) – (–8x³ + x² + 3) is x³ + 4x² – x + 3, corresponding to option B.

To simplify the expression ( –7x³ + 5x² – x + 6) – (–8x³ + x² + 3), we need to remove the parentheses and then combine like terms.

First, distribute the negative sign through the second set of parentheses: –7x³ + 5x² – x + 6 + 8x³ – x² – 3.

Next, combine like terms: (–7x³ + 8x³) + (5x² – x²) – x + (6 – 3).

This simplifies to x³ + 4x² – x + 3.

So, the correct simplified form of the expression is option B. x³ + 4x² – x + 3.

To determine how many times taller Laquisha's model is compared to Ben's model, convert their heights to improper fractions and divide, simplifying the result to find the ratio.

To find out how many times taller Laquisha's model is compared to Ben's model, we divide their heights. Laquisha's model height is
70 11/12 inches, and Ben's model height is 5 3/4 inches. First, convert the mixed numbers to improper fractions. Ben's height as an improper fraction is 23/4 inches. Laquisha's height as an improper fraction is 851/12 inches. Next, divide Laquisha's model by Ben's: (851/12)
÷ (23/4). To divide fractions, we multiply by the reciprocal of the second fraction: (851/12)
× (4/23). Simplify to find the ratio, which represents how many times taller Laquisha's model is.

Answer:

C) $51

Step-by-step explanation:

Step 1. Calculate the discount

The discount is 15 % of $60

Discount = 60 × 0.15

Discount = $9

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

Step 2. Calculate the sale price

Sale price = original price - discount

Sale price = 60 - 9

Sale price = $51

The sale price will be $51.

Answer: (c) [tex]\bold{\dfrac{3}{4}}[/tex]

Step-by-step explanation:

Chooe any point I am choosing point W.

The W' is closer to C than W so the dilation is less than 1

The only answer choice that is less than 1 is option c.

Why is this the answer? because the side lengths are proportional

[tex]\dfrac{CW'}{CW} = \dfrac{WX'}{WX}= \dfrac{3}{4}[/tex]

Answer:

y=[(8in*x)+6in]/12in

When you reflect a point across an axis, either the x value or the y value flips signs.

When you reflect across the x axis, the sign of the y value changes(+ to -) or (- to +)

When you reflect across the y axis, the sign of the x value changes (+ to -) or (- to +)

The point reflected across the x-axis because the sign of the y value changed/flipped, while the sign of the x value stayed the same.

Final answer:

Brandon reflected the point (-4, -6) across the x-axis to get the point (-4, 6), which is recognized by the unchanged x-coordinate and the sign reversal of the y-coordinate.

Explanation:

Brandon reflected the point (-4, -6) to get the point (-4, 6). This reflection occurred across the x-axis. We know this because the x-coordinate of the point remained unchanged, indicating that the point was not moved left or right. However, the y-coordinate changed from -6 to 6, which signifies that the point was reflected over the x-axis and moved from below the axis to an equal distance above the axis.

In reflections across the x-axis, the x-coordinate remains the same while the sign of the y-coordinate is reversed. Conversely, a reflection across the y-axis would keep the y-coordinate the same and reverse the sign of the x-coordinate.

In a coordinate system, negative or positive values for x and y are determined by their position relative to the origin. Points to the right of the origin and above the origin are usually considered to have positive coordinate values, with directions indicated by arrows on the axes. In Brandon's case, the negative y-coordinate became positive, affirming the x-axis as the axis of reflection.

It's an arithmetic sequence:

[tex]a_1=14\\a_2=14-8=6\\a_3=6-8=-2\\a_4=-2-8=-10\\a_5=-10-8=-18\\\vdots\\\text{The general formula for nth term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\\\\\text{We have}\ a_1=14,\ d=-8.\\\\\text{Substitute:}\\\\a_n=14+(n-1)(-8)=14-8n+8=22-8n\\\\\text{We need}\ a_{52}.\ \text{Put n = 52 to the formula}:\\\\a_{52}=22-8(52)=22-416=-394[/tex]

Answer: the first question is no. It is not a proportional relationship. Can you tell me what the options for the second question is please?

Answer:

150

Step-by-step explanation:

3000 * 0.05 = 150

The domain and range of the relation {(-1, 1), (-2, 2), (4, -4), (7, -7)} are {-1, -2, 4, 7} and {1, 2, -4, -7} respectively.

Not every relation is a function, but every function is a relation.

A function is a relation with clear boundaries.

When we say that something is well-defined, we mean that each element has been assigned a specific image.

The given set is,

{(-1, 1), (-2, 2), (4, -4), (7, -7)}

The domain of a set is the values of x,

Domain = {-1, -2, 4, 7}

The range of a set is the values of y,

Range = {1, 2, -4, -7}

The relation makes the function because for every value of x the sign of function y is negative,

The required function is,

y = -x.

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Answer:

1250

Step-by-step explanation:

since 2% of the school is 25 students that means every 2% there is 25 students.

100/2 = 50

50*25 = 1250 students

Answer:

1250 = total students

Step-by-step explanation:

Students in the play = total students * percent in play

We know that the students in the play =25

We know the percent in the play is .02

Substitute what we know into the equation

25 = total students * .02

Divide each side by .02

25/.02 = total students *.02/.02

1250 = total students

Answer: [tex]\bold{\pm1, \pm5, \pm\dfrac{1}{3},\pm \dfrac{5}{3}}[/tex]

Step-by-step explanation:

Q             P

3x² - 3x + 5

Possible rational roots are all of the factors of P divided by all of the factors of Q, including both positive and negative values.

  [tex]\pm \dfrac{\text{factors of P}}{\text{factors of Q}}[/tex]

[tex]=\pm \dfrac{\text{factors of 5}}{\text{factors of 3}}[/tex]

[tex]=\pm \dfrac{1, 5}{1, 3}[/tex]

[tex]=\pm\dfrac{1}{1}, \pm\dfrac{5}{1}, \pm\dfrac{1}{3},\pm \dfrac{5}{3}[/tex]

Answer:

 scoops 1       1/2     5      12.8   1.5    1.05     20    12.25

 milk      10     5       50   128    15     10.5   200    122.5

Step-by-step explanation:

The problem states 1 scoop per 10 oz of milk

1 scoop        x scoops

------------ = ------------

10 oz             5 oz

Using cross products

1 *5 = x * 10

Divide by 10

5/10 =x

1/2 scoops

1 scoop        5 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 5 * 10

x =50

50 oz

1 scoop        x scoops

------------ = ------------

10 oz             128 oz

Using cross products

1 *128 = x * 10

Divide by 10

x =128/10

12.8 oz

1 scoop        1.5 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 1.5 * 10

x =15

15 oz

1 scoop        x scoops

------------ = ------------

10 oz             10.5 oz

Using cross products

1 *10.5 = x * 10

Divide by 10

x =10.5/10

1.05 oz

scoop        20 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 20 * 10

x =200

200 oz

scoop        12.25 scoops

------------ = ------------

10 oz             x oz

Using cross products

1 *x = 12.25 * 10

x =122.5

122.5 oz

Answer:

[tex]\underline {\text{P}\ \ |\quad1\quad| \quad\frac{1}{2}\quad|\quad5\quad|\quad12.8\quad| \quad1.5\quad| \quad1.05\quad|\quad20 \quad|\quad12.25\quad|}\\{\text{M}\ |\quad10\ \ | \quad 5\quad|\quad50\ \ |\quad128.\quad|\quad15\quad| \quad10.5\quad|\quad200\ |\quad122.5\quad|}[/tex]

Step-by-step explanation:

Set up the proportion as [tex]\dfrac{1 \text{ powder}}{10 \text{ milk}}=\dfrac{P}{M}[/tex], then cross multiply and solve for the variable.

Column 1: [tex]\dfrac{1}{10} =\dfrac{1}{M}[/tex] → M = 10

Column 2: [tex]\dfrac{1}{10} =\dfrac{P}{5}[/tex] → 5 = 10P → [tex]\frac{1}{2} = P[/tex]

Column 3: [tex]\dfrac{1}{10} =\dfrac{5}{M}[/tex] → M = 50

Column 4: [tex]\dfrac{1}{10} =\dfrac{P}{128}[/tex] → 128 = 10P  → 12.8 = P

Column 5: [tex]\dfrac{1}{10} =\dfrac{1.5}{M}[/tex] → M = 15

Column 6: [tex]\dfrac{1}{10} =\dfrac{P}{10.5}[/tex] → 10.5 = 10P  → 1.05 = P

Column 7: [tex]\dfrac{1}{10} =\dfrac{20}{M}[/tex] → M = 200

Column 8: [tex]\dfrac{1}{10} =\dfrac{12.25}{M}[/tex] → M = 122.5