Find the coordinates of Triangle KLM after a translation to the right by 8 units, then a reflection across the x-axis. Show your work or explain what steps you take to find your answer.

Elena is covering a distance of 8 miles in one minute.

Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x

Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.

Therefore, Elena is running at a speed of 8.5 miles per minute.

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Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

The volume of a cube is 512 m3.

Given,

The one-face area is nothing but the area of a square since it is a cube.

So,  (a2) = 64 m2.

Then, a = 8m

Hence, the side of the cube is 8 m.

Formula to calculate the volume of the cube :

The volume of the cube = a3

Volume = (8)3

Volume = 512m3

Therefore, the volume of the cube is 512m3.

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Answer: y=6

Step-by-step explanation:

Answer:

0.402

Step-by-step explanation:

The probability of not rolling a one on any given roll is [tex]5/6[/tex].

Since the die is rolled 5 times, the probability is [tex](5/6)^5 \approx 0.402[/tex].

Answer:

5832

Step-by-step explanation:

The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.

Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.

Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.

Hence,

2(1 / 2 x - 5) , when x = 20

Therefore,

2(1 / 2 (20) - 5)

2(10 - 5)

2(5) = 10

Hence, the property is substitution property.  

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The required trigonometric ratios of angle C in the given table are

(a) adjacent leg ÷ hypotenuse (cos C) = 0.95

(b) opposite leg ÷ hypotenuse (sin C) = 0.31

(c) opposite leg ÷ adjacent leg (tan C) = 0.33

The three important trigonometric ratios are:

sin θ = opposite leg ÷ hypotenuse

cos θ = adjacent leg ÷ hypotenuse

tan θ = opposite leg ÷ adjacent leg

In the given right-angle triangle, the ratios are given as

cos A = adjacent leg ÷ hypotenuse = 0.31

sin A = opposite leg ÷ hypotenuse = 0.95

tan A = opposite leg ÷ adjacent leg = 3.06

These ratios are w.r.t the angle A.

Since we know that, in the right angle triangle,

∠A + ∠B + ∠C = 180°

⇒ ∠A + 90° + ∠C = 180°

⇒ ∠A = 180° - 90° - ∠C

∴ ∠A = 90° - ∠C

So, the trigonometric ratios w.r.t the angle C are:

(a) cos A = cos (90° - ∠C) = sin C

But we have cos A = 0.31

∴ sin C = 0.31

(b) sin A = sin (90° - ∠C) = cos C

But we have sin A = 0.95

∴ cos C = 0.95

(c) Then, tan C = sin C/cos C

Here we got sin C = 0.31 and cos C = 0.95

So, tan C = 0.31/0.95 = 0.33

Thus, the table is as follows:

angle    adj ÷ hyp    opp ÷ hyp    opp ÷ adj

A              0.31              0.95               3.06

B              0.95             0.31                0.33

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Answer:

x= 222 degress

Step-by-step explanation:

We will aggregate terms with the same degree.

Therefore, the answer to the question should be Option 3 or Option C)  from the beginning.

Answer: 4400

Step-by-step explanation:

The scholarship covers $14,700 / 3 =

14700/3=4900

4900 of Janice's tuition.

After the scholarship, Janice still needs to pay $14,700 - $4900 = 9800 for tuition.

Janice has saved $1000, so she needs to come up with an additional $9800 - $1000 = 8800 for tuition.

Janice and her parents will each pay $8800 / 2 = 4400

Please give the answer 5 stars if you find it helpful!

Happy to help!

Answer:

Step-by-step explanation:

[tex]x^{2} +2x+16=0\\x^{2} +2x+1-1+16=0\\(x^{2} +2x+1)-1+16=0\\(x+1)^{2} +15=0\\(x+1)^{2}=-15[/tex]

The solution does not exist because all numbers squared are greater than zero.

Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

7.08  is the probability, rounded to the nearest thousandth.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur.

                   We can discuss the probabilities of various outcomes to determine how likely they are whenever we are uncertain about the result of an event. Statistics describes the examination of events subject to probability.

Probability of getting a six on rolling a dice = 1/3

Here ,

n = 4 , p = 1/3

So, For P(X <= 1) = P(X = 0) + P(x = 1)

4C0 * (1/6)^0 * (1 - 1/3)^(4-0) + 4C1 * (1/3)^1 * (1-1/3)^(4-1)

= 1 * 1 * (5/3)^4 + 4 * (1/3) *

= 5.75 + 1.33

=  7.08

= 7.08 (nearest thousandth)

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Answer: The correct answer is c. $943.87.

Step-by-step explanation: To solve this problem, we need to first determine the length of time between October 1 and July 1 of the following year. This is a period of 9 months, or 3 quarters. We can then use this information to calculate the amount of interest earned over this time period.

The principal in Yujin Pon's account is $900, and the interest rate is 6.5% compounded quarterly. This means that for each quarter, the account will earn 6.5/4 = 1.625% in interest. Over the 3 quarters between October 1 and July 1 of the following year, the account will earn a total of 1.625% * 3 = 4.875% in interest.

To calculate the amount of interest earned, we can multiply the principal by the interest rate:

Interest = Principal * Interest Rate

= $900 * 0.04875

= $43.87

The total amount in the account on July 1 will be the original principal plus the amount of interest earned over the 3 quarters:

Total = Principal + Interest

= $900 + $43.87

= $943.87

Therefore, the correct answer is c. $943.87.

The correct inequality for the statement - highest temperature possible today is 95 °F

x ≤ 95 °F

The statement saying the highest temperature possible today is 95 °F is represented by

knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards

assuming x represents the measles of the temperatures then

x is less than or equal to 95 °F means x can be any value but never greater than 95 °F

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Answer:

number from last year - number of decrease

Step-by-step explanation:

The numbers are missing from the problem, but this is what you need to do.

Start with the number of fish in the pond last year.

Subtract the number of decrease.

Answer: x=3.2

Ste by Step

We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that  the perimeters of x is

x=3.2

From the question we are told

The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.

Generally the equation for the the ratio is mathematically given as

2=x

and

5=8

Therefore

x=3.2

Therefore

the perimeters of x is

x=3.2

Answer: g(f(-2))=-96

Step-by-step explanation:

[tex]Given: \ f(x)=e^{6x}\ \ \ \ g(x)=8ln(x)\ \ \ \ g(f(-2))=?\\\\f(-2)=e^{6*(-2)}\\\\f(-2)=e^{-12}\\\\Hence,\\\\g(f(-2))=8ln(e^{-12})\\\\g(f(-2))=8*(-12)\\\\g(f(-2))=-96[/tex]

Answer:

-96

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=e^{6x}\\ g(x)=8 \ln (x) \end{cases}[/tex]

To find g[f(-2)], substitute x = -2 into the function f(x):

[tex]\implies f(-2)=e^{6 \times -2}=e^{-12}[/tex]

Then substitute the function f(-2) in place of the x in function g(x):

[tex]\implies g[f(-2)]=8 \ln \left(e^{-12}\right)[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\begin{aligned}\implies g[f(-2)]&=-12\cdot 8 \ln \left(e\right)\\&=-96 \ln \left(e\right)\end{aligned}[/tex]

Apply the log law:  ln(e) = 1

[tex]\begin{aligned}\implies g[f(-2)]&=-96 \ln \left(e\right)\\&=-96(1)\\&=-96\end{aligned}[/tex]

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

As one calculation:

[tex]\begin{aligned}g[f(-2)]&=8 \ln \left(e^{6 \times -2}\right)\\& = 8 \ln \left(e^{-12}\right)\\& = -12 \cdot 8 \ln \left(e\right)\\& = -96(1)\\& = -96\end{aligned}[/tex]

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 5+0.75x.

In the given expression, 5 is constant term and 0.75x is another term.

In the term 0.75x, 0.75 is the coefficient of x

In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.

Therefore, option D is the correct answer.

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By completing a complete revolution on the soda can-like profile about the y-axis to generates a cylinder-like solid that is the result of the combination of three cones and a cylinder.

In this problem we find a representation of a soda can-like profile, whose complete revolution generates a cylinder-like solid. This solid is the result of the combination of three truncated cones (lower trucated cone, middle cone, upper cone) and a cylinder (right cylinder). There are two axes for the rotation, a horizontal axis (x-axis) and a vertical axis (y-axis).

The first axis, that is, the horizontal axis, is along the base of the can-like profile and the second axis, that is, the vertical axis, is along a side of the can-like profile. The solid of revolution is generated by rotating around the y-axis.

In consequence, the solid generated by a revolution creates a soda can-like profiles as the result of combining three truncated cones and a cylinder.

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By graphing the system of equations, we can see that the solution is (3, 5).

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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Net payout will you be promised in a fair betting game in case your bet works out is $0 .

Given :

browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins .

P ( browns ) = 60 / 100 = 0.60

P ( steelers ) = 40 / 100 = 0.40

Net payout = Number of wins * 10 - Number of loses * 10

= 1 * 10 - 1 * 10

= 10  - 10

= $0.

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The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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The average speed of the beetle is 1.53 feet per minute.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Given that, it moves 23 of a foot in 15 of a minute.

Here, the average speed

= 23/15

= 1.53 feet per minute

Therefore, the average speed of the beetle is 1.53 feet per minute.

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Then the orders can Cory eat the fruit is = 25

Given that,

If Cory has eat apples = 3$

If Cory has eat oranges = 2$

If Cory has eat bananas = 2$

Total eat fruits = 3 + 2 + 2

Total eat fruits = 7$

We have to express the amount of total fruits as an equation.

The amount of apples will be x,

The amount of oranges will be y,

The amount of bananas will be z

The amount of apples multiplied by 7 because they ate each day of the week.

7*(x) + y + z = now we have to replace the values ​​of x, y and z with the ones that gave us the problem

Then,

x = 3

y = 2

z = 2

So,

We can write,

7*(x) + y + z = 7 *(3) + 2 + 2

= 21 + 2 + 2

= 25

Therefore,

Then the orders can Cory eat the fruit is = 25

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Answer:

Below

Step-by-step explanation:

To complete the square, the coefficient of x^2 must be 1  ( it is already)

   then take 1/2 of the x coefficient  .... 1/2.... square it and add it to both sides of the equation

   x^2 + x + 1/4   + 9   = 1/4

 then you can reduce this to

   ( x+ 1/2)^2  + 9 = 1/4   for further 'solving'

By solving a little system of equations we will see that the percentage is 66.67%

We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.

So we can write the relation:

$30 = 100%.

We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:

$20 = X

So we have two equations:

$20 = X

$30 = 100%.

If we take the quotient between these two we will get:

$20/$30 = X/100%

If we multiply both sides by 100% (so we solve the equation for X) we will get:

($20/$30)*100% = X

66.67% = X

So she will get a 66.67% of the regular hourly rate.

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