PLEASE HELP!!

Match the expression to its simplified form.
5*-2
1/25
2*5
1/16
2*-4
32
5*3
125

PLEASE HELP!!Match The Expression To Its Simplified Form.5*-21/252*51/162*-4325*3125

Answers

Answer 1

Step-by-step explanation:

5^-2= 1/25 (as when taken up 25 it becomes 5^-2).2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)2^-4=1/16 (as when we take up 16 we get 2^-4)5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)

Hope it helps...

Answer 2

Answer:

The picture should be easier to look at :)

Step-by-step explanation:

Just got it right on edge 2020

PLEASE HELP!!Match The Expression To Its Simplified Form.5*-21/252*51/162*-4325*3125

Related Questions

About how much money would 18 pounds of cheese cost if the price is $3.95 per pound? Use two different ways to estimate the product. Are your estimates overestimate or underestimate? Explain.

Answers

1. this way is overestimating

assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds

2. his way is overestimating

assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar

this is overestimating because you're raising the price of the cheese by 5 cents.

Answer: 71.1

Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful

PLEASE HELP 13 INSTEAD OF FIVE POINTS!!!! I REALLY NEED HELP

Answers

A is what the answer is

Answer:

y = 3/7 x - 3

Step-by-step explanation:

The first number should be positive because the dots are slowly going up, not down. The first number also cannot be 7/3 because the slope of that would be over 2, and in this graph, the slope isn't even more than one. The last answer we have to eliminate is y = 3/7x + 3 because the +3 is the y-intercept, and in the graph, it doesn't touch the positive 3. So the answer is y = 3/7x - 3.

how do you solve this question?

Answers

Answer:

[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

for any real x different from 1

[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]

if f(x)=2x

   f'(x)=2

if g(x)=-ln(1-x)

   [tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]

So antiderivative of

[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, for a repair that takes x hours.
y=45x+75
What is the meaning of the y-intercept of the equation?
A.It means the technician charges a fixed amount of $45 for the repair
B.It means the technician charges a fixed amount of $75 for the repair.
C. It means the technician charges $45 per hour for the repair.
D.It means the technician charges $75 per hour for the repair.

Answers

Answer:B

Step-by-step explanation:

The x next to the 45 represents that if we were to put this in a graph the line would start at 45 meaning that the 45 could be the fee for looking at whats broken and the $75 is the payment for fixing it giving us the Y-intercept(out total payment)

In the given equation y=45x+75, the y intercept 75 represents  the technician charges $45 per hour for the repair. Option C is correct.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given,

A computer technician charges a fixed amount for a repair, plus an additional amount per hour

y=45x+75

y equal to forty five x plus seventy five

In the given equation the x represents number of hours and 75 represents fixed amount.

45 represents the additional amount per hour.

In the equation y=45x+75

45 is the slope and 75 is the y intercept.

75 represents  the technician charges a fixed amount of $75 for the repair.

Hence option C is correct, the technician charges $45 per hour for the repair.

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Draw a picture to help you find the answers.
When Andrew got in his car to drive home from work, be saw that his fuel gauge
indicated that the tank was1/2 full. When he pulled into his driveway, the fuel gauge
showed that he used 1/3 of the fuel that was in the tank before he started his trip home.
3) How full was the tank when Andrew arrived home?
4) If the fuel tank had 4 gallons of gasoline left when he got home, how many
gallons of gasoline can the fuel tank hold?

Answers

Answer:

2/6 (1/3)

12 gallons

Step-by-step explanation:

3) 1/2x1/3=1/6, so he'd used 1/6 of a tank.

1/2-1/6=

3/6-1/6=2/6.  So the tank was 2/6 full, or 1/3 full when he got home.

4) If it's 1/3 full and has 4 gallons, it can hold 12 gallons.  (4x3)

what is it- help meh pwese

Answers

Answer:

Option A

Step-by-step explanation:

Because 72/9 = 8 or 8/1

Hope this helps and pls make as brianliest :)

Answer:

A

Step-by-step explanation:

the numerator is 72

while the denominator is 9

divide

72/9 = 8

we have a numerator 8

when the answer is a whole number the denominator is always 1

so the answer is 8/1

10 points are given on a plane. How many line segments can be drawn using them?

Answers

Answer:

45

Step-by-step explanation:

There are 10 points to choose as "starting points" and 9 points to connect them to so you would think that the answer is 10 * 9 = 90. However, this is incorrect as it is over-counting by a factor of 2. Suppose we have two points A and B. Using this method, 2 of the 90 line segments would be AB and BA but AB and BA are the same line segment. Therefore, the answer is 90 / 2 = 45.

What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}

Answers

Answer:

Range of Function :  { - 9, - 5, - 1,  4 }

Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

y = 2( 4 ) - 5 = 4

We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

What is the volume of the following rectangular prism?

Answers

Answer:

Step-by-step explanation:

The Volume is given by the following equation: V= Base x Height

Therefore,  [tex]V = 16\frac{1}{4} * \frac{1}{2} = \frac{65}{4} * \frac{1}{2} = \frac{65}{8} = 8\frac{1}{8}[/tex] units

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 8^x+4 intersect are the solutions of the equation 2^−x = 8^x+4.

Part B: Make tables to find the solution to 2^−x = 8^x+4. Take the integer values of x between −3 and 3.

Part C: How can you solve the equation 2^−x = 8^x+4 graphically?

Answers

Answer:

See explanation

Step-by-step explanation:

A) the x-intercept is the solution because there are only x's in the equation when they are set equal to each other.

B) (-3, 8), (-3, 4)

   (-2, 4), (-2, 4)***** this is the solution

   (-1, 2), (-1, 4 1/8)

   (0, 1), (0, 5)

   (1, 1/2), (1, 12)

   (2, 1/4), (2, 68)

   (3, 1/8), (3, 516)

C) Graph them and show the intersection

See Attachment

Pls solve and explain

Answers

Answer:

4950 potholes in 6 weeks, estimated is 4800.

Step-by-step explanation:

To estimate, let's round 825 to the nearest 100th - 800.

Now we multiply 800 times 6 to find our estimate.

[tex]800\cdot 6 = 4800[/tex]

If we know that the road repair crew can fix 825 potholes PER WEEK, we can set up a proportion to find how many they can do in 6 weeks.

[tex]\frac{825}{1} = \frac{x}{6}[/tex]

Let's cross multiply to find the value of x.

[tex]825\cdot6=4950\\4950\div1=4950[/tex]

So the repair crew can fix 4950 potholes in 6 weeks.

4950 is pretty close to 4800, so our exact answer should be correct.

Hope this helped!

Answer:

the answer is 4950

Step-by-step explanation:

Because the ratio would be 825:1 and if you times the 1 by 6. it would give you 6 and do the same to the other side with 825 that would give you 4950. hope you like my answer.

The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company: Part A: What

Answers

Answer:

dollars

Step-by-step explanation:

Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18

Answers

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.

Answers

what is the exact question here ?

Copy the problems on paper, mark the givens, and fill in the blanks to complete the proofs of the statements asked.

Answers

You didn't attach a photo, so I am confused on what your question is. I am answering 3 problems that have the same intro.

If your question was not any of these, I can't help, sorry :)

Please help! You will get 17 points!

What is the volume of the following cylinder with a diameter of 12 yds and a height of 15 yds? Do not round your answer.
(Use 3.14 for pi)
Volume = __ yds squared.​

Answers

Answer:

1695.6 is the volume.

Step-by-step explanation:

3.14 * 6^2 * 15 = 1695.6

Answer:

1695.6 yds^ 3

Step-by-step explanation:

If the diameter is 12 yds then the radius is 6 yds.  The height is 15 yds.  Thus the volume of this cylinder is

V = πr²h = 3.14(6 yd)^2·(15 yds) = 1695.6 yds^ 3

A certain clock is losing time. The clock loses 2/15 seconds every minute. How many seconds does the clock lose in one hour?

Answers

Answer:

8mins

Step-by-step explanation:

(2x60)/15=8 I hope this helps, hope it's right

Answer:

8 minutes

Step-by-step explanation:

You will multiply 60 times 2 and then divide by 15 leaving you with 8

is 3x+4y=12 linear or nonlinear......is y=1/2x+6 linear or nonlinear......is y=4x to the power of 2 linear or nonlinear......is y+2=|4| linear or nonlinear......is y+6=4x linear or nonlinear......

Answers

3x+4y=12 is Linear.

y-1/2x+6 is Linear.

y=4x^2 is nonlinear.

y+2=|4| is linear.

y+6=4x is linear.

In order to tell whether an equation is linear or not, you have to first see if there is any variable^2 or more than ^1. If that is the case, it isn't linear. For example the equation x^2=4 or y^5=100 isn't linear. It also isn't linear if the equation is divided by X or Y.For example the equation 1/x=1 isn't linear or 1/y^2=5 isn't linear.

A question is also linear if you can write it in the form y=mx+b , 'm' meaning the slope of the equation and 'b' meaning the y-intercept of the equation.

3x + 4y = 12 = linear

Which are the roots of the quadratic function f(q) = q? - 125? Select two options.
Oq=515
Oq=-575
Oq=3/5
Oq=-375
Oq=25/5

Answers

Answer:

A and C

Step-by-step explanation:

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The quadratic function f(q) = q² - 125 can be factored as (q - 5)(q + 5).

Now,

To find the roots, we set the function equal to zero and solve for q:

So,

q² - 125 = 0

(q - 5)(q + 5) = 0

q - 5 = 0 or q + 5 = 0

q = 5 or q = -5

Therefore,

The roots of the quadratic function f(q) = q² - 125 are q = 5 and q = -5.

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What is the value of x in the equation ( x +
({ x + 12) = {(x +
4x + 14) – 3?
-24
-6
2
0

Answers

Answer:

3

Step-by-step explanation:

(x+(×+12)=(×+4×+14)-3

×+×+12=×+4×+14-3

2×+12=5×-2×

+12-11=5×-2×

-1=3×

Find the mean absolute deviation (MAD) of the data in the bar chart below.

Answers

Mean absolute deviation of the given data is 1.5

What is Mean absolute deviation?

The average absolute deviation of a data set is the average of the absolute deviations from a central point.

What is Mean?

The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers

From the given bar chart

Mean = Sum of the terms / Number of terms

Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]

Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|

MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]

Hence, Mean absolute deviation of the given data is 1.5

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Answer:

1.5

Step-by-step explanation:

what is the solution to this equation 10x-15x+5=-45+20

Answers

Answer:

6

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 20[/tex]

Collect like terms

[tex] - 5x + 5 = - 45 + 20[/tex]

Calculate the sum

[tex] - 5x + 5 = - 25[/tex]

Move constant to RHS and change its sign

[tex] - 5x = - 25 - 5[/tex]

Calculate

[tex] - 5x = - 30[/tex]

Divide both sides of the equation by -5

[tex] \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} [/tex]

Calculate

[tex]x = 6[/tex]

Hope this helps...

Best regards!!

Answer:

x = 6

Step-by-step explanation:

10x - 15x + 5 = -45 + 20

→ Simplify the 10x - 15x

-5x + 5 = -45 + 20

→ Simplify the -45 + 20

-5x + 5 = -25

→ Minus 5 both sides from to isolate -5x

-5x = -30

→ Divide by -5 from both sides from to isolate x

x = 6

A. Y=-5/2x+2
B. Y=2/5x+2
C. Y=-2/5x+2
D. Y=5/2x+2

Answers

Answer:
B. Y=2/5x+2

Explanation:
Y-intercept: (0,2)
Slope: 4-2. 2
——=
5-0. 5
Y=2/5+2

Answer:

B) y=2/5x+2

Step-by-step explanation:

Slope is rise over run.  Since the line is increasing it’s positive.  It goes up two and then five to the right, so it’s a positive 2/5.

Therefore the answer is B) y=2/5x+2

Match each equation with the operation you can use to solve for the variable. Subtract 10. Divide by 10. Divide by 5. Subtract 18. Multiply by 10. Add 18. Add 10. Multiply by 5. 5 = 10p p + 10 = 18 p + 18 = 5 5p = 10

Answers

Answer: 5=10 p (divide by 10) p+10=18 (subtract 10) p+18=5 (subtract 18) 5p=10 (divide by 5)

Step-by-step explanation:

You want to get p or the variable alone

PLEASE HELP ASAP. IT'S TIMED. If your quadratic equation had no numbers and was represented by ax²+bx=c. Tell me step by step what I should do to complete the square. PLEASE HELP ASAP.

Answers

Answer:

(x+ (b/2a))^ 2 = (b/2a) ^2 + c/a

Step-by-step explanation:

ax²+bx=c

first we know the form of a square

(x+a)^2 = x^2 + 2ax +  a^2

we have to write the given ax²+bx=c in the above form

for that we bring c on LHS

for the we subtract c from both sides

ax²+bx -c =c - c

=> ax²+bx - c = 0

now we see that in x^2 + 2ax +  a^2 , term x^2 does not have any coefficient,

so in our equation we get rid of coefficient a from  ax²+bx - c = 0

for that we divide both LHS and RHS by a

(ax²+bx - c)/a = 0/a

x²+bx/a - c/a = 0

now we have to write (b/a)x in form of 2ax

for we divide and multiply (b/a)x by 2

thus we have

x²+2 (b/2a)x - c/a = 0

now comparing above equation with x^2 + 2ax +  a^2

we see that 2ax is same 2 (b/2a)x

thus (b/2a) is same as a in standard form of quadratic equation  x^2 + 2ax +  a^2

now we have to get   a^2

as (b/2a)  is same as a

we add and subtract square of (b/2a) on LHS

x²+2 (b/2a)x - c/a + (b/2a) ^2 - (b/2a) ^2 = 0

rearranging it

x²+2 (b/2a)x  + (b/2a) ^2 - (b/2a) ^2 -c/a = 0

=> x^2 + (b/2a)x + (b/2a) ^2 -(b/2a) ^2 -c/a = 0

=> (x+ (b/2a))^ 2 - ((b/2a) ^2 + c/a ) = 0

=> (x+ (b/2a))^ 2 = (b/2a) ^2 + c/a  answer

(Algebra 1) The swim team is selling sweatshirts and towels to raise money for a trip to Mexico. The Coach asked the team to raise
at least $1000
The coach asked the team members how many towels and sweatshirts they would need to sell to meet their goal. The
sweatshirts cost $20.00 and the towels cost $15.
Joanne was trying to determine how to pre-order the items to promote the products. Choose the combinations of
sweatshirts and towels that would reach their goal.
Sweatshirts
Towel =
(s, t) = combinations
Select one or more:
a. (37.18)
b.(41.11)
C. (22,38)
d. (8,55
e. (13,51)

Answers

the answer is A, C, and E

The solution to the inequality equations are Option A, Option C, Option E.

The ordered pairs are ( 37 , 18 ) , ( 22 , 38 ) and ( 13 , 51 )

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the number of sweatshirt = s

Let the number of towels be = t

Let the cost of one sweatshirt = $ 20.00

Let the cost of one towel = $ 15.00

The Coach asked the team to raise at least $1000

So , the value of 20s + 15t ≥ 1000

Now , substituting the values for s and t in the equation , we get

a)

The ordered pair to the solution of equation ( s , t ) = ( 37 , 18 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 37 ) + 15 ( 18 ) ≥ 1000

740 + 270 ≥ 1000

1010 ≥ 1000

So , the inequality equation satisfies

b)

The ordered pair to the solution of equation ( s , t ) = ( 41 , 11 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 41 ) + 15 ( 11 ) ≥ 1000

820 + 165 ≥ 1000

985  < 1000

So , the inequality equation does not satisfies

c)

The ordered pair to the solution of equation ( s , t ) = ( 22 , 38 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 22 ) + 15 ( 38 ) ≥ 1000

440 + 570 ≥ 1000

1010 ≥ 1000

So , the inequality equation satisfies

d)

The ordered pair to the solution of equation ( s , t ) = ( 8 , 55 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 8 ) + 15 ( 55 ) ≥ 1000

160 + 825 ≥ 1000

985  < 1000

So , the inequality equation does not satisfies

e)

The ordered pair to the solution of equation ( s , t ) = ( 13 , 51 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 13 ) + 15 ( 51 ) ≥ 1000

260 + 765 ≥ 1000

1025 ≥ 1000

So , the inequality equation satisfies

Hence , the inequality equations are solved

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pls asap its not 128......In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer:

hope it helps

this is my best

please tell me if I'm wrong

The formula for calculating simple interest is I = prt. Which is the equivalent equation solved for r? StartFraction I Over p t EndFraction = r StartFraction p t Over I EndFraction = r I minus p t = r I + p t = r

Answers

Answer: r = I/pt

Step-by-step explanation:

Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.

The equivalent equation for r is r=I/pt which is option a.

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to find equation?

We have been given an equation I=prt and we have to find the equivalent equation which is solved for r.

I=prt

In this p is principal, r is rate of interest and t is time period.

Divide both sides by pt.

I/pt=prt/pt

I/pt=r

Hence the equation equivalent to I=prt is r=I/pt which is option a.

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Find the unknown angle measure. A -50° b - 180° c - 220° d - 40°

Answers

Answer:

40 degrees

Step-by-step explanation:

90 degrees + 50 degrees = 140 degrees

there are 3 angles that total at 180 degrees in every  triangle

180 degrees - 140 degrees = 40 degrees

The initial count of a certain type of bacteria in a culture is 350. If the bacteria grows at the rate of 20% per hour, which
function models the number of bacteria after t hours?

Answers

Answer:

70

Step-by-step explanation:

[tex]\frac{20}{100}*350=70[/tex]

Other Questions
Please answer this question now Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. nequals=5353, pequals=0.30.3, and Xequals=20 Simplify the expression:(4k 4) + ( 9k 5) What methods were used to expand the United States? What is the reciprocal of (17h)/(46j)? Hot zone The author most likely include this paragraph to Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined What is the name of the projection (not the coordinate system) used by the feature classes in the Oregon geodatabase? What are the central meridian and the standard parallel(s)? Does it use the equator for the latitude of origin? Jervis sells $3,900 of its accounts receivable to Northern Bank in order to obtain necessary cash. Northern Bank charges a 3% factoring fee. What entry should Jervis make to record the transaction find the 1000th term of the sequence below The town of Utopia has three gas stations. The owners of these gas stations make decisions together about when to raise or lower gas prices. It would be difficult for another gas station to enter this market. Which market structure best describes the market for gas in Utopia What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters Find the next two terms in thissequence. Pls answer this ASAP I need it by the end of the day The akkadians establish the world's first empire. Nebuchadnezzar rules the Neo-Babylonian Empire. Ancient Sumer develops self-governed city-states. King Hammurabi creates his code of laws. ( just #1 ) ( a and b1. Identify the sides or angles that need to be congruent in order to make the Read the passage and then answer the question:Cecil came home to find the couch cushions gnawed on, avase lying in pieces on the floor, and a hole dug a foot deepin what used to be his flower bed. In the middle of it all, Leo sat on his haunches with an innocent look on his face,his pink tongue hanging out as he panted without a care inthe world. Cecil shook his head and sighed. Not again.Which detail from the passage is most clearly explicit?A. Cecil shook his head.B. Cecil knows who Leo is.C. Leo created the mess.O D. Leo is a dog, not a person. Which of the notes taken from the passage is most relevant to the structure of the statues? Beth and Ben work together in a store. The expression 12h + 50 represents theamount of money Beth earns, and the expression 14h - 20 represents the amount ofmoney that Ben earns. The variable h represents hours worked, and the integersrepresent dollar amounts. Find an expression that gives the total amount of moneyearned by Beth and Ben when they work together for h hours. Privott, Inc., manufactures and sells two products: Product Z9 and Product N0. The company is considering adopting an activity-based costing system with the following activity cost pools, activity measures, and expected activity: Estimated Expected Activity Activity Cost Pools Activity Measures Overhead Cost Product Z9 Product N0 Total Labor-related DLHs $ 335,018 7,500 4,100 11,600 Product testing tests 51,247 950 1,050 2,000 Order size MHs 476,608 5,100 5,400 10,500 $ 862,873 The activity rate for the Labor-Related activity cost pool under activity-based costing is closest to:_______ a. $28.88 per DLH b. $48.81 per DLH c. $53.94 per DLH d. $431.44 per DLH