If one card is randomly selected from a well-shuffled standard deck of 52 cards, what is the probability that the card selected is not a heart?

Answers

Answer 1

Probability helps us to know the chances of an event occurring. The probability that the card selected is not a heart is 3/4.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of the card not being selected is a heart is,

Probability = (Number of cards without heart)/Total number of cards)

Probability = 39/52

Probability = 3/4

Hence, the probability that the card selected is not a heart is 3/4.

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Related Questions

What is 10 1/2 divded by 2 1/4?

Answers

Answer:

4.66666666667

Step-by-step explanation:

Answer:

Step-by-step explanation:10 1/2÷ 2 1/4

solution:

=20/2 ÷ 8/4

= 10 ÷

=5

came across this question on my home work can some one please show how to sketch it correctly?

Answers

Answer:

Step-by-step explanation:

2. Graph the inverse of the function, then determine if the inverse is a function.
Part I: The graph of F(x) is shown below. On the same grid, draw the graph of
the inverse of F(x). (2 points)

Part II: Is the inverse a function? Explain your answer. (3 points)

Answers

The inverse of the function f(x)= x^2 is a function.

The graph of the inverse

The equation of the function is

f(x)= x^2

Rewrite as:

y = x^2

Swap x and y

x = y^2

Make y the subject

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

Rewrite as:

[tex]f^{-1}(x) = \sqrt x[/tex]

So, the inverse of f(x)= x^2 is [tex]f^{-1}(x) = \sqrt x[/tex]

See attachment for the graph

Is the inverse a function?

The inverse is a function.

This is so because it passes the vertical line test

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In a promotional sale, Roxanne bought one item for its regular price and a second item for $ 1. She paid $ 20 for both items. What fraction of the price of the first item is the price of the second item?

Answers

The fraction of the price of the first item is 1/19 if Roxanne bought one item for its regular price and a second item for $ 1.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

In a promotional sale, Roxanne bought one item for its regular price and a second item for $ 1.

Total money Roxanne paid = $20

First item price = 20 - 1 = $19

The fraction of the price of the first item = 1/19

Thus, the fraction of the price of the first item is 1/19 if Roxanne bought one item for its regular price and a second item for $ 1.

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find x and y

pls help

Answers

Answer:

x = 14

Step-by-step explanation:

110 + 5x = 180

-110 -110

5x = 70

divide by 5 on both sides

x = 14

to find y add 70 + 40 + missing angle = 2y

missing angle is 70 because 70+40+70 = 180

so 2y = 110

y = 55

Answer:

x=14

y=55

Step-by-step explanation:

5x and  110 form a straight line so they add to 180

5x+110 =180

5x = 180-110

5x = 70

Divide by 5

5x/5 = 110/5

x = 14

We know the exterior angle of a triangle is equal to the sum of the two opposite interior angles

40 + 5x = 2y

Substitute in 14 for x

40 +5(14) = 2y

40 + 70 = 2y

110 = 2y

Divide by 2

110/2 =2y/2

55 = y

John owns a clothing store that sells graphic T-shirts and shorts. He sells the
T-shirts for $6 each and the shorts for $14 each. He is limited to the
constraints show by the set of inequalities below. Which of the points (s, t)
will maximize John's profit?
A. (12,0)
B. (0, 13.33)
C. (25,5)
100
s≤ 40-30
s2 12-t
s≤ 30-t
s20
t≥ 0

Answers

The points (s, t) that will maximize John's profit is; (12, 0)

How to use Inequality Constraints?

We are given the inequality constraints;

s ≤ 12 - 0.5t

s ≥ 10 - t

s ≤ 20 - t

s ≥ 0

t ≥ 0

We are told that John sells the T-shirts for $6 each and the shorts for $14 each. Since the coordinate point is (s, t), when we look at the options and compare with each of the constraints, it is clear that the points (s, t) that will maximize John's profit is; (12, 0)

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A garden table and a bench cost 735 combined. The garden table costs 35 more than the bench. What is the cost of the bench?

Answers

Answer:

350

Step-by-step explanation:

Let,

 x = bench

 x + 35 = garden table

EQUATION:

   (x) + (x + 35) = 735

   2x = 735 - 35

   2x = 700

   x = 350

SUBSTITUTE:

  bench costs 350 and garden table costs 385

Hello!

Based on the info we have we can form 2 equations :

(Keep in mind x is the cost of the garden table and y is that of the bench)

x + y = 735x = y + 35

Now substitute x in the first equation.

⇒ y + 35 + y = 735

⇒ 2y = 700

⇒ y = 350

∴ The cost of the bench is [tex]\fbox {350}[/tex]

Pls help! Geometry
What is the area of the new rectangle?

Answers

Answer:

Step-by-step explanation:

Since the ladybug is [tex]3.3cm[/tex] far from each edge of the rectangle, it follows that the length of the new rectangle is [tex]3.3cm+9.5cm + 3.3cm = 16.1cm[/tex] and the width is [tex]3.3cm+7.5cm + 3.3cm = 14.1cm[/tex].

Recall a formula for the area of a rectangle: [tex]A = l \cdot w[/tex], where [tex]l[/tex] is a length and [tex]w[/tex] is a width of the rectangle.

Substitute [tex]l=16.1cm[/tex] and [tex]w=14.1cm[/tex] into the formula:

[tex]A=16.1cm\cdot 14.1cm[/tex]

Multiply the numbers:

[tex]A=[/tex] [tex]227.01cm^{2}[/tex]

Therefore, the required area is equal to [tex]227.01cm^{2}[/tex].

Graph the set x-6≤ x < -2} on the number line.
Then, write the set using interval notation.

Answers

On the number line, -2 is not shaded and moving left to show that x is less than -2 but shaded on -6 moving right to show that x is greater than or equals to -6.

Interval Notation: [ -6, -2 ]

What is the interval notation form of the set of inequality?

An inequality has an infinitely number of solution, the solution set is easily described using interval notation.

Given the set of inequality { x| -6 ≤ x < - 2}

This can easily be written in the form of interval notation as;

[ -6, -2 ]

On the number line, -2 is not shaded and moving left to show that x is less than -2 but shaded on -6 moving right to show that x is greater than or equals to -6.

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the cost of 15kg of apples is 262.50. find the cost of 25kg of apples

Answers

Answer:

437.50 is the cost of 25kg of apple's.

The mean on a Advanced Algebra test was 86 with a standard deviation of 4.5. If the test scores are normal distributed, find the interval about the mean that contains 68% of the scores. Use the empirical rule.

Answers

Using the Empirical Rule, the interval that contains 68% of the scores is [81.5, 90.5].

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

68% of the scores are within 1 standard deviation of the mean, hence the bounds of the interval are:

86 - 4.5 = 81.5.86 + 4.5 = 90.5.

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which line has the same slope as the line passing through (-4, -1) and (-1, 5)

Answers

A line which has the same slope as the line passing through the given points is: C. y = 2x + 8.

Given the following data:

Points on x-axis = (-4, -1).Points on y-axis = (-1, 5).

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope = \frac{5\;-\;(-1)}{-1\;-\;(-4)}\\\\Slope = \frac{6}{3}[/tex]

Slope = 2.

Therefore, y = 2x + 8 is a line which has the same slope as the line passing through the given points.

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Complete Question:

Which line has the same slope as the line passing through (-4, -1) and (-1, 5)?

A. y = 3

B. 9x - 3y = 5

C. y = 2x + 8

D. the line passing through (1, 4) and (1, 7)

Solve the following systems of equations
y= 3x^2 + 6x + 4

Y= -3x^2 + 4

show all work and solutions​

Answers

Answer:

[tex](-1;1)[/tex] and [tex](0;4)[/tex]

Step-by-step explanation:

First of all, even if the system is of 4th degree, by looking at the shape of the equations I am expecting up to 2 solutions.

The easiest way to solve it, since both equation are in the form y= something, is to equate both RHSs.

[tex]3x^2+6x+4=-3x^2+4\\6x^2+6x=0 \rightarrow 6x(x+1)=0[/tex]

which tells us that either [tex]x=0[/tex] or [tex]x=-1[/tex]

Now we can replace these value of x in one of the two to finish our work: [tex]x=0\rightarrow y= 4[/tex]

[tex]x=-1 \rightarrow y= -3+4=1[/tex]

if a 20 ft tree casts a 15ft shadow, how long a shadow is cast​

Answers

Answer:

25 ft

Step-by-step explanation:

c = √a^2 + b^2 = √20^2 + 15^2 = 25ft

Hooke me up with a 5 star and a thanks :)

For some integer n, the first, the third and the fifth terms of an arithmetic sequence are respectively 3n, 5n – 6, and 11n + 8. What is the fourth term?

Answers

Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

[tex]a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;[/tex]

or a₄=-39.

Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y < -2

Answers

The solution will be the point of intersection of the lines and since the lines are parallel to each other, there is no solution

System of inequality

Inequality are expressions not separated by an equal sign. Given the following inequalities

2x - y > 4

2x - y < -2

The lines for both inequality must be dashed since they do not include equal sign. The first line will be shaded in the upper part while the second in the lower portion

The solution will be the point of intersection of the lines

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what statement is true

Answers

Answer:

D. Both graphs are exponential functions.

Step-by-step explanation:

Hope it helps :)

the results of a poll indicate that between 33% and 37% of the population of a town visit the library at least once a year. what is the polls margin of error?

Answers

The margin of error is ±2%

What is Margin error?

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.

Let x be margin of error and y be the percentages of the population.  

So,

y-x =33%

y +x = 37%

Solving above equations

2y= 70

y= 35%

and x= 2%

Hence, the margin of error is ±2%.

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A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given:
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45
Which of the following histograms is the best representation of the data?
a.
A histogram with frequency on the x-axis and ages on the y-axis. 20 to 24, 2; 25 to 29, 2; 30 to 34, 5; 35 to 39, 4; 40 to 44, 5; 45 to 49, 5; 50 to 54, 1; 55 to 59, 1.
b.
A histogram with frequency on the x-axis and ages on the y-axis. 20 to 24, 4; 25 to 29, 1; 30 to 34, 6; 35 to 39, 2; 40 to 44, 5; 45 to 49, 5; 50 to 54, 3; 55 to 59, 4.
c.
A histogram with ages on the x-axis and frequency on the y-axis. 20 to 24, 2; 25 to 29, 2; 30 to 34, 5; 35 to 39, 4; 40 to 44, 5; 45 to 49, 5; 50 to 54, 1; 55 to 59, 1.
d.
A histogram with ages on the x-axis and frequency on the y-axis. 20 to 24, 4; 25 to 29, 1; 30 to 34, 6; 35 to 39, 2; 40 to 44, 5; 45 to 49, 5; 50 to 54, 3; 55 to 59, 4.



Please select the best answer from the choices provided


A
B
C
D

Answers

A histogram with frequency on the x-axis and ages on the y-axis is shown below. Then the correct option is A.

What is a histogram?

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A large construction company wants to review the ages of its sales representatives.

A sampling of the ages of 25 sales reps are given:

50, 42, 32, 35, 41, 44, 24, 46, 31, 47, 36, 32, 30, 44, 22, 47, 31, 56, 28, 37, 49, 28, 42, 38, 45.

Then the histogram with frequency table is given as

 Range                Frequency

20 to 24                      2

25 to 29                      2

30 to 34                      5

35 to 39                      4

40 to 44                      5

45 to 49                      5

50 to 54                      1

55 to 59                      1

Then the correct option is A.

The histogram is given below.

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If it cost ​$6 to fill a gas tank in 1970​, how much would it have cost to fill the same tank in 2010​?

Answers

Step-by-step explanation:

Well since it cost 6$ and the price was 0.36 you can calculate how many gallons you needed to fill up your tank which is calculated by dividing the price to fill the gas tank by the price per gallon

6/0.36 = 16.667 gallons

Now multiply the amount of gallons you need to fill your gas tank by the price in 2010

16.667 * 2.84 = 47.36

You could also just look at the price as a percentage relative to 1970 prices and see that the price increased by 788.9% and the find what 788.9% is of 6$. Which can be done by dividing 788.9 by 100 to convert it into decimal form which gives you 7.889 and then multiply that by the original price of 6$ to fill your gallon to get 47.33 which is slightly different although this is likely due to rounding.

Fill in the blank with letter of the word that completes the sentence.
The sides of an angle are

Answers

An angle is the union of two rays that share a common endpoint. The rays are called the sides of the angle

What is the distance between the points (3, 6) and (4, 2)?
Select the best answer from the choices provided.
A. √113
B. √65
C. √50
D. √17

Answers

Answer:

Step-by-step explanation:

Givens

x2 = 4

x1 = 3

y2 = 2

y1 = 6

Formula

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

Solution

distance = sqrt(  (4 - 3)^2 + (2 - 6)^2 )

distance = sqrt( 1^2 + 4^2)

distance = sqrt (17)

Answer

D

✏️ ANSWER

What is the distance between the points (3, 6) and (4, 2)?

Select the best answer from the choices provided.

Answer is: D. 17

Formula:

Distance (d) Square roots (sqrt) ( x 2 - x 1 )² + ( y2 - y1 )²

d = sqrt ( 4 - 3 )² + ( 2 - 6 )²

d = sqrt ( 1² + 4² )

d = sqrt ( 17 ) 1^2 + 4^2 = 17

CarryOnLearning <( ̄︶ ̄)>

Ozzie Foster deposits $2,000 at the end of each year (ordinary annuity) into an Individual Retirement Account at Bishop Bank. The account pays 7% compounded annually. a) How much will be in the account in 25 years? b) If Ozzie had deposited the $2,000 at the beginning of each year (annuity due), how much would be in the account in 25 years?

Answers

The ordinary annuity and annuity due as required in the task content are; $126,498.08 and $135, 431.43 respectively.

What is the annuity due?

a) The amount which would be in the account in 25 years can be evaluated by means of the annuity factor obtained from the table under column 7% and row 25 years and hence, the value in 25 years would be; $2,000 × 63.24904

= $126,498.08.

b) For the annuity due case; the future value is;

= (1+0.07) × $2000((1+0.07)^(25) - 1)/0.07

= (1.07) × $2000(5.43-1)/0.07

= $135, 431.43.

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Most of Mauna Kea, a volcano on Hawaii, lies below sea level. If this volcano begins at 5998 meters below sea level and then rises 10,203 meters, find the height of the volcano above sea level.

Answers

Final answer:

Height of volcano above sea level is 4205m.

Step-by-step explanation:

Step 1

Height of volcano below sea level: 5998m

Step 2

Total height of volcano below and above sea level:

10203m

Step 3

Subtract height of volcano below sea level from total height of volcano to get height of volcano above sea level:

10203 - 5998

Step 4

Subtract the terms:

10203 - 5998 = 4205

Two people are packing equal numbers of small boxes into large boxes.

One person has 3 large boxes that are full of smaller boxes and 24 small

boxes that are not yet packed. The other person has 5 large boxes that are

full of smaller boxes and 10 small boxes that are not yet packed. Each large

box holds the same number of small boxes. How many small boxes can

each large box hold? What is the total number of small boxes each person

will pack? How many large boxes will each person need in order to pack all of his or her small boxes?

Please answer as quickly as possible and as detailed as possible!!! Thanks!!!!!!

Answers

Answer:

29 small boxes

Step-by-step explanation:

The radius of a car’s tire is 47.1 cm. Find the circumference of the tire. (This is the distance that the car must drive to rotate the tire exactly once.)

Answers

The circumference of the tire as described in the task content is; 295.8cm.

What is the circumference of the tire?

It follows from the task content that the tire in discuss is circular and has radius; 47.1cm.

Hence, by the circumference formula; we have;

Circumference = 2πr = 2 × 3.14 × 47.1

Circumference = 295.8cm.

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Please help need answers

Answers

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

[tex]\frak{Good\;Morning!!}[/tex]

[tex]\pmb{\tt{Question\;1}}[/tex]

                 [tex]\star\boldsymbol{\rm{Given-:}}[/tex]

Side length = 7 cm,Side length = 5 cm.

              [tex]\star\boldsymbol{\rm{We're\;looking\;for-:}}[/tex]

Side length = x

This is how it's done.

         

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

There's a special formula that we can use if we need to find the longest side of a right triangle. Fortunately, all of these triangles are right ones! Good.

The formula is. [tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex]. This formula is known as Pythagoras' Theorem. This formula only works for right triangles.

Since we have a and b, we can just put in the values (7 for a and 5 for b), And then simplify!

[tex]\boldsymbol{\rm{7^2+5^2=c^2}}[/tex] | 7^2 simplifies to 49, and 5^2 simplifies to 25

[tex]\boldsymbol{\rm{49+25=c^2}}[/tex]. | add

[tex]\boldsymbol{\rm{74=c^2}}[/tex] | square root both sides

[tex]\boldsymbol{\rm{8.6=c}}}[/tex]. | the answer is given to 1 decimal place, as the problem required

[tex]\orange\hspace{350pt}\above5[/tex]

[tex]\pmb{\tt{Question\;2}}[/tex]

 Once more, we're given two sides, and asked to find the third one,  

  which is still the longest side.

[tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex] is still the formula used here

Put in 5 for a and 3 for b.

[tex]\boldsymbol{\rm{5^2+3^2=c^2}}[/tex] | 5^2 simplifies to 25, and 3^2 simplifies to 9

[tex]\boldsymbol{\rm{25+9=c^2}}[/tex] | add

[tex]\boldsymbol{\rm{34=c^2}}[/tex] | square root both sides

[tex]\boldsymbol{\rm 5.8=c}}[/tex] | once again it's given to one decimal place

[tex]\hspace{350pt}\above5[/tex]

[tex]\pmb{\tt{Question\;3}}[/tex]

This problem is solved the exact same way

[tex]\boldsymbol{\rm{a^2+b^2=c^2}}[/tex]

[tex]\boldsymbol{\rm{8.2^2+4.7^2=c^2}}[/tex]

[tex]\boldsymbol{\rm{67.24+22.09=c^2}}[/tex]

[tex]\boldsymbol{\rm{89.33=c^2}}[/tex]

[tex]\boldsymbol{\rm{9.5=c}}[/tex], rounded to one D.P.

[tex]\orange\hspace{300pt}\above2[/tex]

[tex]\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet\equiv\bullet[/tex]

[tex]\pmb{\tt{Question4}}[/tex]

Here we have the longest side and one side length-:

[tex]\boldsymbol{\rm{4^2+b^2=7^2}}[/tex] | 4^2 simplifies to 16 and 7^2 simplifies to 49

[tex]\boldsymbol{\rm{16+b^2=49}}[/tex] | subtract 16 from both sides

[tex]\boldsymbol{b^2=33}[/tex] | square root both sides

[tex]\boldsymbol{\rm{b=5.7}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

[tex]\pmb{\tt{Question\;5}}[/tex]

[tex]\boldsymbol{\rm{3.8^2+b^2=7.9^2}}[/tex]

[tex]\boldsymbol{\rm{14.44+b^2=62.41}}[/tex]

[tex]\boldsymbol{\rm{b^2=47.97}}[/tex]

[tex]\boldsymbol{\rm{b=6.9}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

[tex]\pmb{\tt{Question\;6}}[/tex]

[tex]\boldsymbol{\rm{a^2+6.1^2=7.3^2}}[/tex]

[tex]\boldsymbol{\rm{a^2+37.21=53.29}}[/tex]

[tex]\boldsymbol{\rm{a^2=16.08}}[/tex]

[tex]\boldsymbol{\rm{a=4.0}}[/tex]

[tex]\pmb{\tt{done~!!!}}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

I need help ASAP! I need this within an hour from now!

Answers

Answer:

Definition of circle

Explanation:

1st - Given2nd - Definition of radius3rd - Distance formula4th - Definition of circle5th - Distance formula6th - Definition of circle

All the points that lies on the circle must be same distance from the center.

This is given by the definition of a circle.

Additional

Radius is the length from the center to the points lying on the circle.

Distance formula: [tex]d =\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Diameter of circle is from one end point to another end point lying on circle.

Which transformation is not an isometry

Answers

From the shapes given, the third transformation is not an isometry.

What is an isometry?

An isometry is a mathematical function used to describe the process of moving a geometric object without a changing its size or shape from one point to another.

Thus, from the shapes given, the third transformation is not an isometry.

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In the parallelogram above what is the value of x?Please explain for brainlest

E.36
F.18
G.6
H.5

Answers

Answer:

[tex]\boxed{E.~36}[/tex]

Step-by-step explanation:

Supporting drawing in the attachment.

The sum of the measures of two consecutive angles is equal to 180°.

3x° + 2x° = 180°

5x° = 180°   I ÷ 5

x° = 36°

E.  36

Answer:

36

Step-by-step explanation:

I also did this for shsat

Other Questions
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misrables this year, and they need your help planning it.All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thnardier, Enjolras, Marius, Fantine, adult Cosette, adult ponine, and Madame Thnardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.If the 9 actors must sit together, how many ways are there to seat the 13 people around the table?8,709,120362,8806,227,020,800259,459,200 cos 0 = . Find tan 0. Ways by which nitrogen is lost Which scenario accurately reflects employee involvement during an onsite inspection? Consider a standard 52-card deck of cards with 13 card values (Ace, King, Queen, Jack, and 2-10) in each of the four suits (clubs, diamonds, hearts, spades). Answer each of the below. Note that "or" in this question refers to inclusive, not exclusive, or. If a card is drawn at random, what is the probability that it is a heart? The writers of the Constitution of 1787 created a powerful central government that shifted away from the concept of virtue and instead emphasized __________. Three rectangular-shaped holes have been drilled passing all the way through a solid 3 4 x 5 cuboid. The diagrams show the front, side and top views of the resulting block. What fraction of the original cuboid remains? Which of the following sentences is incorrect?A. I was enthused by the poetry.B. He cited only four sources in his research paper.C. I feel nauseated.OD. all of the aboveE. none of the above Question 8Which equation best represents the set-up for solving the following.A 9 + 16 = xB x + 9 = 16C x2 + 162 = 92D 92 + x2 = 162 Viola met her manager to discuss an issue she was facing in the office. During the meeting, her manager's phone was constantly ringing. This made it difficult for Viola to explain her problem clearly. Her manager, distracted by the ringing phone, did not grasp the significance of the problem and sent Viola back with half-hearted promises to take appropriate action. In this scenario, the ringing telephone represents If 5(x-6y) = 50y,what is the value of x in terms of y? PLS EXPLAInE. 16yF. 15yG. 11 2/5yH.11yEXPLAIN CORRECT ANSWER AND EXPLANATION GETS BRAINIEST Why is the overuse of groundwater Which of these provides evidence from developmental biology of a shared evolutionary history? Calcula de dos maneras diferentes1) (-12).82) 14.(-5).(-11)Porfa 236,181 + 150,486 Read the passage from Sugar Changed the World.The diamond and the house: two family treasures, two parts of the story of sugar. We realized that our two family storiesMarina's great-grandparents, brought to Guyana to replace slaves, and Marc's aunt's grandfather, helping to refine an alternative to that same sugarwere just the beginning of a much larger story about a remarkable substance. It is a story of the movement of millions of people, of fortunes made and lost, of brutality and delightall because of tiny crystals stirred into our coffee, twirled on top of a cake. Sugar, we began to see, changed the world.What is the purpose of this passage?to explain who Marina and Marc areto link the authors families to sugarto explore the history of Guyanato show what sugar is used for Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.x2 + (y 3)2 = 36x2 + (y 5)2 = 6(x 4) + y = 36(x + 6) + y = 144x2 + (y + 8)2 = 36 Why is King's selection of the memoir form for his work On Writing particularly appropriate? Which two sentences best describe the resolution of a story?It is the final sentence of the story.It introduces the characters of the story.It brings the action in the story to an end.It resolves the conflicts in the story. Polygons ABDC and ABDC are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon ABDC is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex D on ordered pair 5, negative 3 and vertex C on ordered pair 1, negative 3. A polygon A prime B prime D prime C prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex D prime on ordered pair 2, 5 and vertex C prime on ordered pair 2, 1.What set of transformations is performed on ABDC to form ABDC?A: A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the leftB: A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin C: A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left D: A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin(Sorry if its hard to understand)