Select all that apply.

Describe the transformations.


The yellow rectangle was translated up 3 units and reflected over the y-axis.

The yellow rectangle was translated right 5 units and reflected over the x-axis.

The yellow rectangle was reflected over both axes.

The yellow rectangle was translated right 5 units and up 3 units.

Answer:

Use the distance formula:

d = sqrt. ( y2 - y1)^2  + (x2 - x1)^2)

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Answer: It is not possible for Janet to have won 10 games.

Step-by-step explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

[tex]x+2x=24[/tex]

So, let's check if it is possible for Janet to have won 10 games. Substitute [tex]x=10[/tex] into the expression:

[tex]10+2(10)=24\\\\10+20=24\\\\30=24\ (This\ is\ not\ true)[/tex]

Therefore, it is not possible for Janet to have won 10 games.

Answer:

not possible

Step-by-step explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

So, let's check if it is possible for Janet to have won 10 games. Substitute  into the expression:

Therefore, it is not possible for Janet to have won 10 games.

Answer:

  d.  None of the above.

Step-by-step explanation:

The period is the change in x required to make a change of 2π in the argument to the sine function:

  2x = 2π

  x = π

The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.

The frequency of the function y = 3sin(2x) is 2, making the correct answer c. 2.

The frequency of the function y = 3sin(2x) is 2.

To determine the frequency of a sine function, you look at the coefficient in front of the x within the sine function. In this case, the coefficient is 2, so the frequency is 2.

Therefore, the correct answer is c. 2.

Answer:

Part A) The approximate perimeter of the concrete region is [tex]P=64.66\ yd[/tex]

Par B) The exact area of the concrete region is [tex]A=(8\pi+162.4)\ yd^{2}[/tex]

Step-by-step explanation:

Part A) What is the approximate perimeter of the concrete region?

we know that

The perimeter of the composite figure is equal to

[tex]P=\pi r+2(15.2)+ 11.5+10.2[/tex]

The radius of semicircle is

[tex]r=8/2=4\ yd[/tex]

substitute

[tex]P=(3.14)(4)+2(15.2)+ 11.5+10.2=64.66\ yd[/tex]

Part B) What is the exact area of the concrete region?

we know that

The area of the composite figure is equal to the area of semicircle plus the area of rectangle plus the area of triangle

so

[tex]A=\frac{1}{2} \pi r^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]

The radius of semicircle is

[tex]r=8/2=4\ yd[/tex]

[tex]A=\frac{1}{2} \pi (4)^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]

[tex]A=8\pi+121.6+40.8[/tex]

[tex]A=(8\pi+162.4)\ yd^{2}[/tex]

Answer:

1/9

Step-by-step explanation:

There are a total of 21 marbles.  In the first draw, there are 7 blue marbles out of 21.  In the second draw, since he replaces the marble, there are still 7 blue marbles out of 21.  So the probability is:

P = (7/21)²

P = 1/9

[tex]

6n-7=11 \\

6n=18 \\

n=\boxed{3}

[/tex]

The answer is a.

Hope this helps.

r3t40

Answer:

no

Step-by-step explanation:

This is not a function because the same x value goes to 2 different y values x=1 goes to both -2 and -3.  This would fail the vertical line test

Answer:

C = 3n+20

Step-by-step explanation:

C= The Cost

n= the number of rides

So if you get on 2 rides

that would be $6

because 3x2=6

or 3+3

and just add in the 20 to get in

so the sum is

26 if you were to get on 2 rides

The total cost of a day at the amusement park, combining both the fixed admission fee of $20 and the variable cost of rides at $3 each, can be represented by the equation c = 3n + 20. Here, 'c' signifies the total cost and 'n' is the number of rides.

In this problem of an amusement park charging a $20 admission fee and $3 for each ride, we need to find an equation that can be used to determine c, the total cost of a day at the amusement park, based on n, the number of rides.

Given that the admission fee is a fixed cost of $20 and each ride costs $3, these elements can be combined into an equation where the total cost (c) is equal to the cost of each ride multiplied by the number of rides (3n), plus the fixed cost of admission ($20).

Therefore, the correct equation as per the given conditions is c = 3n + 20.

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Answer:

  x^2/4 +y^2/9 = 1

Step-by-step explanation:

The standard form is ...

  (x -h)^2/a^2 +(y -k)^2/b^2 = 1

for an ellipse centered at (h, k) with semi-axis measures "a" and "b". The largest of "a" or "b" is the semi-major axis; the smaller, the semi-minor axis.

Here, the major axis is vertical, so b > a.

Since the center is not given, we assume it is the origin: h = k = 0. The semi-axes are a=2, b=3, so the equation is ...

  x^2/4 +y^2/9 = 1

Answer:

Option 3. 1,000 times

Step-by-step explanation:

we know that

The value of digit 8 in 82.77 is equal to 80

The value of digit 8 in 20.18 is 0.08

so

Divide 80 by 0.08

80/0.08=1,000 times

The value of the digit 8 in 82.77 is greater than and the value of the digit 8 in 20.18 by 1000.

The value of each digit in 82.77 is:

8 = tens

2 = units

7 = tenth

7 = hundredth

The value of each digit in 20.18 is:

2 = tens

0 = units

1 = tenth

8 = hundredth

The value of 8 in 82.77 is tens(10) and the value of 8 in 20.18 is hundredth (0.01).

Difference in value = 10 / 0.01 = 1000

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Answer:

Part 1) see the procedure

Part 2) [tex]4.95x+49.95 < 9.95 x[/tex]

Part 3) [tex]x > 9.99\ months[/tex]

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

[tex]y=4.95x+49.95[/tex]

Site B

[tex]y=9.95x[/tex]

The inequality that represent this situation is

[tex]4.95x+49.95 < 9.95 x[/tex]

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

[tex]4.95x+49.95 < 9.95 x[/tex]

Subtract 4.95x both sides

[tex]4.95x+49.95-4.95x < 9.95 x-4.95x\\ 49.95 < 5x[/tex]

Divide by 5 both sides

[tex]49.95/5 < 5x/5\\ 9.99 < x[/tex]

Rewrite

[tex]x > 9.99\ months[/tex]

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Answer:

  -4r³s -3r² +2rs -5

Step-by-step explanation:

The powers of r in each of the terms from left to right are ...

  3, 1, 0, 2

Arranging these in descending order gives the sequence of terms ...

  -4r³s -3r² +2rs -5

[tex]\displaystyle\\\sum_{n=1}^7(4n+2)[/tex]

Answer:

approximately 1.13  seconds is when the max height is obtained

29.25 ft is the max height

Step-by-step explanation:

Maximum/minimum you should automatically go to vertex if you are dealing with a parabola or a quadratic; I'm talking about something in this form y=ax^2+bx+c.

The x-coordinate of the vertex can be found by computing -b/(2a)

Or in this case the t-coordinate.

a=-16

b=36

c=9

Plug in (you don't need c for this)  -36/(2*-16)=-36/-32 (reduce)=9/8

(divide; put in calc 9 divided by 8)=1.125

t represented the seconds so we done with part A which is 1.125 seconds

Now for B, all you have to do once you found the x- (or t- in this case) coordinate, plug it into your equation that relates x (or t in this case) and y (or h in this case).

h=-16(1.125)^2+36(1.125)+9

I'm just going to put -16(1.125)^2+36(1.125)+9 into my calculator exactly as it appears which is 29.25 ft.

The angle of intersecting chords is found by adding the two arcs intercepted by the angle and dividing that by 2.

PRQ = (102 + 70) / 2

PRQ = 172 /2

PRQ = 86 degrees.

When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle. The measure of ∠PRQ is 86°.

When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle.

The measure of ∠PRQ is,

∠PRQ = (102°+70°)/2

∠PRQ = 172° / 2

∠PRQ = 86°

Hence, the measure of ∠PRQ is 86°.

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Answer:

  35°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the subtended arc.

  x = 70°/2 = 35°

Answer:

5< 23

Step-by-step explanation:

we know that

A mathematical expression of five is 5

A mathematical expression of less is <

A mathematical expression of twenty-three is 23

therefore

"Five is less than twenty-three"  is equal to

5< 23

Answer:

5<23

Step-by-step explanation:

Here are some common facts:

* Mathematical expression of five is 5

* Mathematical expression of less is <

* Mathematical expression of twenty-three is 23

Based on the facts given above, we can conclude that:

"Five is less than twenty-three"  is equal to

5< 23

Tags: mathematical expression, mathematical expression case study, translation of expressions

Without the equation for k(x), we can't definitively determine the formula for h(x). However, if we knew k(x), we'd divide it by g(x) (-3x in this case) to find h(x). For instance, if k(x) is 6x, h(x) will be -2.

To find the formula for h, we need to divide k(x) by g(x). The formula for the function k should be given in addition to the graph in order for us to solve this. Assuming that g(x) is indeed -3x, we would divide the formula for k(x) by -3x to find h(x). However, without the expression for k(x), we can't definitively select an option for h(x) from your list.

If k(x) was 6x, and g(x) was -3x, h(x) would be -2. You would find this by dividing k(x), which is 6x, by g(x), which is -3x; resulting in -2. So, for this example, option B would be correct.

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Answer:

y = (3/4)x

Step-by-step explanation:

1)  Find the slope of the line.  As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15.  Thus, the slope, m, is m = rise / run = 15/20 = 3/4

2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.

3) write the equation of the line:  y = mx + b becomes y = (3/4)x

[tex]\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-6)}{12-(-8)}\implies \cfrac{9+6}{12+8}\implies \cfrac{15}{20}\implies \cfrac{3}{4}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=\cfrac{3}{4}[x-(-8)]\implies y+6=\cfrac{3}{4}(x+8) \\\\\\ y+6=\cfrac{3}{4}x+6\implies y=\cfrac{3}{4}x[/tex]

Step-by-step explanation:

5 gallons 3 quarts +4 gallons 2 quarts

5.3

+

4.2

=9.5 gallons

Answer: 10 gallons and 1 quart.

Explanation: 5 gallons + 4 gallons = 9 gallons. 3 quarts + 2 quarts = 5 quarts, and 4 quarts make a gallon. So, 10 gallons and 1 quart.

Answer:

if your on kahn acadmy assignment eve if your not, the answer is both a and b

Step-by-step explanation:

these both are correct

The equivalent expression to 2(-6c+3)+4c is -8c + 6. After distributing and combining like terms, it is clear that Choice A (-8c + 6) is equivalent to the given expression, while Choice B is not.

The student needs to determine which expressions are equivalent to the given expression 2(-6c+3)+4c. To find the equivalent expressions, we need to distribute and combine like terms.

Now we have simplified the original expression to -8c + 6, which is equivalent to Choice A.

To check Choice B, 3(-4c + 2), we distribute the 3: 3(-4c) + 3(2) = -12c + 6. This is not equivalent to our simplified expression -8c + 6, because the coefficients of c are different. Therefore, Choice B is not equivalent.

Thus, the correct answer is Choice A: -8c + 6.

Answer:

[tex]\text{A.}\quad\dfrac{xz}{2}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2yz}{y^2}\times\dfrac{y}{2x}=\dfrac{x^2yzy}{2xy^2}=\dfrac{1}{2}\cdot\dfrac{x^2}{x}\cdot\dfrac{y^2}{y^2}\cdot\dfrac{z}{1}\\\\=\dfrac{xz}{2}[/tex]

Answer:

3

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\frac{6\sqrt{2} }{\sqrt{8} }[/tex]

Simplify the denominator

[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]

Fraction reduces to

[tex]\frac{6\sqrt{2} }{2\sqrt{2} }[/tex] ← cancel the radical

= [tex]\frac{6}{2}[/tex] = 3

Answer:

Part A)

Part B)

Explanation:

1) The earnings are calculated multiplying the number of hours by the hourly rate.

2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour

3) Let the variable used for computing the number of hours be h.

4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:

5) Similarly, the expression to calculate Cindy's earnings would be:

Answering part A)

You have to write an inequality to compare Peter's and Cindy's earnings:

This is, the earnings of Peter are greater than the earnings of Cindy.

Part B),

You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.

Given: 2r ≥ 14

Divide both sides by 2: r ≥ 14 / 2

Simplify: r ≥ 7

That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.

Answer:

371.84$

Step-by-step explanation:

Normal hourly rate = $8.15 per hour

Overtime rate = time and a half = 1.5 x normal hourly rate = 1.5 x $8.15 = $12.23 per hour

Given that she works 43.75 hours,

= 40 normal hours + 3.75 Overtime

Total Pay,

= (40 x normal rate) + (3.75 x Overtime rate)

= (40 x $8.15) + (3.75 x $12.23)

= $326 + $45.84

= $371.84

Answer:

7.6 inches to the nearest tenth.

Step-by-step explanation:

18/24 = 3/4.

13.5 / 18 = 3/4.

This is a Geometric sequence with common ratio 3/4 or 0.75.

We need to find the fifth term of the sequence.

5th term = a1 (r)^(5 - 1)

=  24 * (0.75)^(5-1)

= 24 *  0.316406

=  7.6 inches.

The piling will be driven down 9 inches on the 5th stroke following the decreasing pattern of the pile driver.

The sequence of the piling being driven down by the pile driver shows a decreasing pattern. To predict the depth on the 5th stroke, we need to identify the pattern of decrease.

First stroke: 24 inches
Second stroke: 18 inches (24 - 6 = 18)
Third stroke: 13.5 inches (18 - 4.5 = 13.5)
Looking at the pattern, the reduction from the first to the second stroke is 6 inches, and from the second to the third stroke is 4.5 inches.

We can infer that the pattern of decrease is by 1.5 inches each time (6 - 4.5 = 1.5). So:

Fourth stroke decrease: 4.5 - 1.5 = 3 inches
Third stroke depth: 13.5 inches
Fourth stroke depth: 13.5 - 3 = 10.5 inches

Fifth stroke decrease: 3 - 1.5 = 1.5 inches
Fourth stroke depth: 10.5 inches
Fifth stroke depth: 10.5 - 1.5 = 9 inches

Answer:

i would say a B

Step-by-step explanation:

i dont know it correct but i times the grade by the percentage and added them together

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \cfrac{-20t^5u^2v^3}{48t^7u^4v}\implies \cfrac{-20}{48}\cdot \cfrac{t^5u^2v^3}{t^7u^4v^1}\implies \cfrac{-5}{12}\cdot \cfrac{v^3v^{-1}}{t^7t^{-5}u^4u^{-2}}\implies \cfrac{-5}{12}\cdot \cfrac{v^{3-1}}{t^{7-5}u^{4-2}} \\\\\\ \cfrac{-5}{12}\cdot \cfrac{v^2}{t^2u^2}\implies \cfrac{-5v^2}{12t^2 u^2}[/tex]

Answer:

Each child in Maria's party got 6 crayons more that each child in Dante's party

Explanation:

1- In Dante's party:

192 crayons are equally split among 16 children

This means that:

Each child got [tex]\frac{192}{16} = 12[/tex] crayons

2- In Maria's party:

234 crayons are equally split among 13 children

This means that:

Each child got [tex]\frac{234}{13}=18[/tex] crayons

3- getting the difference:

Difference = 18 - 12 = 6 crayons

This means that:

Each child in Maria's party got 6 crayons more that each child in Dante's party

Hope this helps :)