1. A cube has edge length 5 inches.
a. In the space at the right, draw a net for this
cube and label its sides with measurements.
b. What is the shape of each face?
C. What is the area of each face?
d. What is the surface area of this cube?
e. What is the volume of this cube?​

Answers

Answer 1

Final answer:

A cube with a 5-inch edge has square-shaped faces, an area per face of 25 square inches, a total surface area of 150 square inches, and a volume of 125 cubic inches.

Explanation:

The question relates to the properties of a cube with an edge length of 5 inches. Here are the answers to each part:

b. Each face of the cube is a square shape.

c. The area of each face is 5 inches × 5 inches = 25 square inches.

d. The surface area of the cube is 6 × (area of one face) = 6 × 25 square inches = 150 square inches.

e. The volume of the cube is the cube of the side length, so 5 inches × 5 inches × 5 inches = 125 cubic inches.


Related Questions

2(8q-5) = 4q
What is the answer?

Answers

Answer:

q=5/6

Step-by-step explanation:

16q-10=4q

16q-4q=10

12q=10

q=5/6

What is the image of (0, 1) after a reflection over the line y = x?

Answers

Answer:

(1,0) would be the correct answer.

Step-by-step explanation:

any point that is reflected across y=x will change unless it is on the line. if reflected across y=x, the coordinates will become y,x

In the diagram, line y is parallel to line EF . Lourdes used the diagram to find that m1 = 105°.


What mistake did Lourdes make in finding m1?
A. Lourdes found 180º – (70º + m2).
B. Lourdes found m1 = mE.
C. Lourdes found mD + mF.
D. Lourdes found 180º – (mD + mF

Answers

Answer:

C. Lourdes found m∠D + m∠F.

Step-by-step explanation:

70° + 35° = 105°

This is the Angle Addition Postulate of ∠F and ∠D.

I am joyous to assist you anytime.

The mistake Lourdes did is Lourdes found m ∠ D + m ∠ F. (option C)

What are parallel line?

Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.

Given that, line y is parallel to line EF. Lourdes used the diagram to find that m1 = 105°.

There are many ways to m ∠ 1

A) Since, m ∠ 1, m ∠ 2 and 70° are in straight line, therefore, they are making a linear pair, that mean,

m ∠ 1 + m ∠ 2 + 70° = 180°

Now, m ∠ 2 = 35° (alternate interior angles)

Therefore,

m ∠ 1 + 35° + 70° = 180°

m ∠ 1 = 75°

Therefore, Lourdes's 1st way is correct.

B) If she uses m ∠ 1 = m ∠ E,

That is also correct because, m ∠ 1 and m ∠ E are a pair of alternate interior angles.

C) If she is using m ∠ D + m ∠ F,

She is missing a step in it, after adding m ∠ D and m ∠ F she needs to subtract the sum from 180, because the sum of interior angles of a triangle is 180°, and if she needs to find m ∠ E to find m ∠ 1 then she needs to subtract the sum of m ∠ D and m ∠ F from 180°.

D) As we discussed in option third, in this option Lourdes is subtracting the sum from 180, hence, she is correct here.

Hence, the mistake Lourdes did is Lourdes found m ∠ D + m ∠ F. (option C)

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Simplify by using fractional exponents.


∛x²

Answers

Answer:

What does X352 4/56=

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im guessing [tex]\sqrt[5]{x}[/tex]

What Is simplified form of 2+3 (5-2) to the power of 2

Answers

In order to find the answer you will have to use PEMDAS and simplify making sure not to solve the equation fully.

[tex]2+3(5-2)^2[/tex]

Using PEMDAS:

[tex]2\times2=4[/tex]

[tex]2+3\times(5-4)[/tex]

[tex]5-4=1[/tex]

[tex]2+3\times4[/tex]

[tex]3\times4=12[/tex]

[tex]2+12[/tex]

Therefore your answer is "2+12."

Hope this helps.

is 20 a perfect sqaure

Answers

Answer:

No. 16 is and 25 is.

Step-by-step explanation:

Final answer:

The number 20 is not a perfect square because there is no integer that when multiplied by itself equals 20.

Explanation:

The question "is 20 a perfect square" is related to Mathematics and involves understanding what constitutes a perfect square. A perfect square is a number that can be expressed as the product of an integer with itself. In other words, when you multiply an integer by itself, the resulting product is a perfect square. For example, the number 16 is a perfect square because it can be expressed as 4 times 4.

To determine if 20 is a perfect square, we look for an integer that when multiplied by itself equals 20. However, multiplying 4 by 4 gives us 16, and multiplying 5 by 5 gives us 25. Since there is no integer that can be multiplied by itself to give 20, we conclude that 20 is not a perfect square.

The median for the given set of six ordered values is 28.5
7 12 25 _ 41 50
What is the missing value?

Answers

Final answer:

The missing value in the data set that will preserve the median of 28.5 is 32. This is found by averaging the middle two numbers of the six-number series, solving the equation (25 + missing value)/2 = 28.5.

Explanation:

Calculating the Missing Value in an Ordered Data Set

To determine the missing value in an ordered data set when given the median, you should remember that the median is the middle number in a sorted list of numbers. If the data set has an even number of values, the median is the average of the two middle numbers. For the set 7, 12, 25, _, 41, 50, where the median is given as 28.5, the missing value must be the average of the third and fourth terms since the data set should have six numbers total.

To find the missing value, set up the equation for the median: (25 + missing value)/2 = 28.5. Solve for the missing value:
(25 + missing value) = 28.5 × 2
missing value = (28.5 × 2) - 25
missing value = 57 - 25
missing value = 32

The missing value in the data set to maintain a median of 28.5 is 32.

Factor completely 6x2-15x

Answers

Answer:

Step-by-step explanation:

Factor 3x out of 6x2−15x

.

3x(2x−5)

Answer:

Step-by-step explanation:

6x²-15x = 3x(2x- 5)

6.24159 rounded to the hundredths place?

Answers

Answer:

6.24

Step-by-step explanation:

You exclude the 1 5 9 and since the 1 isn't higher than a 5 it remains a 4. Getting you 6.24

6.24159 rounded to the hundredths place is 6.24

Rounding given values to the nearest hundredth is similar to rounding such values to 2 decimal places

Given the value 6.24159, to round this to the nearest hundredth means that;

the values that must be after the decimal point must be 2.

Hence 6.24159 expressed to the nearest hundredth will be 6.24 since the value that supersedes 4 is not up to 5.

Therefore 6.24159 rounded to the hundredths place is 6.24

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what is the distributive property of 12 + 20

Answers

Answer:

12 + 20 = 4x3 + 4x5 = 4x(3 + 5)

Step-by-step explanation:

The distributive property states that

a*(b + c) = a*b + a*c

You can use the distributive property in reverse to factor out a common factor from the sum of 2 numbers. If you realize that 12 = 4*3 and 20 = 4*5 then you can write

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)

12(18+2)

that’s the answer yall

What is the value of the expression m^2 + 3m when m=4

Answers

4^2+3(4)=28 hope this helps

Final answer:

The value of the expression m² + 3m when m=4 is found by squaring the m and then multiplying m by 3, which gives a final value of 28.

Explanation:

The value of the expression m² + 3m when m=4 is calculated by substituting the value of m into the expression. First, we take m which is 4, and square it (4²=16), then we multiply m by 3 (3*4=12). Adding these two results together (16+12), we get the final value of the expression.

Step-by-step solution:

m² + 3m

4²+ 3*4

16 + 12

The resulting value is 28.

solve the equation
5h +2 -h = 22​

Answers

Answer:

h=5

Step-by-step explanation:

5h +2 -h = 22​

4h+2=22

4h=20

h=5

Answer:

h = 5

Step-by-step explanation:

Start by subtracting 2 from both sides or subtraction property of equality

5h - h = 20

Combine like terms

4h = 20

Division property of equality or divide 4 from both sides

Your final answer is h = 5

Hope this helps

- Que

Standard form with given slope
Slope= 2/5, (6,7)

Answers

Answer:

Step-by-step explanation:

1 Simplify brackets.

-3,9=-3,9,-3,-5−3,9=−3,9,−3,−5

2 Since -3,9=-3,9,-3,-5−3,9=−3,9,−3,−5 is false, there is no solution.

No Solution

Done

Wayne has a recipe in a 3 inches by 5 inches index card that he wants to enlarde to 15 inches long. How wide will the enlargement be?

Answers

Answer:

3 + 15

5 + 15

kalalalalalalalalalalasla

Step-by-step explanation:


[tex] \frac{1}{b \frac{2}{7} } [/tex]

Answers

Answer:

[tex]\frac{7}{2b}[/tex]

Step-by-step explanation:

[tex]\frac{1}{b\frac{2}{7}}[/tex]

[tex]\frac{1}{\frac{2b}{7}}[/tex]

[tex]\frac{7}{2b}[/tex]

NEED ASAP!!
Sixteen of the 24 schools in Ryan’s county are public schools. Ryan used this spinner to predict the probability that the winner of the county spelling bee in each of the next four years will attend a private school. Which set of outcomes from Ryan’s simulation implies that the winner will attend a private school at least three times in that span? Select two options.
A-A-A-A
B-B-A-B
A-B-A-B
A-B-B-B
B-A-B-A

Answers

Hey!

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

Answers:

B-B-A-B

A-B-B-B

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

Explanation:

We assume that the winner is from a private school (B). As we look at the options we can see that there are two options that show B at least 3 times in the span.

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

Hope This Helped! Good Luck!

b and dAnswer:

Step-by-step explanation:

What is the supplement of 154°?

Answers

Answer:

Have u tried to look it up

Step-by-step explanation:

Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6 7 8 9

Answers

Answer:

The value of p is 6

Step-by-step explanation:

we know that

In a parallelogram opposite angles are congruent

so

In the parallelogram ABCD

m∠A=m∠C ----> equation A

m∠B=m∠D ----> equation B

we have

m∠A=(4p+12)°

m∠C=36°

substitute the given values in equation A and solve for p

[tex](4p+12)\°=36\°[/tex]

[tex]4p=36-12[/tex]

[tex]4p=24[/tex]

[tex]p=6[/tex]

Answer:

6

Step-by-step explanation:

40% of what number is 52?
A. 130
B. 200
C. 242
D. 1300

Answers

Answer:

130

Step-by-step explanation:

40 percent of what number is 52?

let this number be x

so, the equation is

40/100 x X= 52

divide 40/100 from both sides

X=52÷40/100

When you divide by a fraction, you multiply by its reciprocal

X=52 x 100/40

X=5200/40

X=130

40 percent of 130 is 52.

The value of the unknown number is 130.

Option A.

What is the value of the unknown number?

Given the parameter:

"40% of what number is 52"

Let's represent the unknown number as "x."

To determine the number for which 40% is equal to 52, we can set up an equation and solve for the unknown number.

Hence:

40% of the number = 52

40% of x = 52

40% × x = 52

Convert the percentage to a decimal.

40% = 40/100 = 0.40

Now, rewrite the equation as:

0.40 × x = 52

0.4x = 52

To solve for the value of "x," divide both sides of the equation by 0.40:

x = 52/0.4

x = 130.

Therefore, 40 percent of 130 is 52.

Option A) 130 is the correct answer.

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the sum of the digits of a two-digit number is 7 the tens digit is one more than twice the units digits find the number

Answers

Answer: 3+4=7

Step-by-step explanation:

So basically let’s say

A= #1

And So right now we have A+B=7

B= #2

So b=a-1 right? Yeah ok so then what you need to do is find A....

So 7-1=6 and 6÷2 = 3 so

A=3

And Than 3+4=7 so that is your answer

B=4

Final answer:

The two-digit number which meets the criteria that its digits sum to 7 and the tens digit is one more than twice the units digit, is 52.

Explanation:

Let's denote the units digit as 'x' and the tens digit as 'y'. We know that the sum of the digits is 7, which gives us the equation x + y = 7. Secondly, we know the tens digit is one more than twice the units digits, so y = 2x + 1. We can solve these two equations simultaneously.

Substituting y from the second equation in the first gives us x + (2x + 1) = 7. Simplifying this results in 3x + 1 = 7. Upon solving we find x = 2. Substituting x = 2 into the first equation we get y = 7 - 2 = 5. Thus, the number is 52.

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help me pls. I need help with the question

Answers

Answer:

$173.90

Step-by-step explanation:

The most obvious way to answer this question is to multiply $9.40 by 18.5

This would result in 173.90.

But I realize nobody like to deal with decimals in a multiplication problem, so here's the way I would do it (especially if you don't have a calculator!)

The strategy is to break it down!

Multiply $9.40 x 18 hours to start, since this is easier.

[tex]9.4 x 18 = 169.2[/tex]

So, that's $169.20 for 18 hours of work.

We aren't finished, because Abdel worked for 18.5 hours.

So, what half of $9.40?

[tex]9.4 / 2[/tex]

= 4.7

-or-

$4.70

So, knowing that Abdel makes $4.70 in half an hour, lets just add that onto the $169.20 we got earlier.

169.2 + 4.7 = 173.9

-or-

$173.90 for 18.5 hours of work!

A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll, how much did the doll cost?

Answers

Answer:

The cost of the doll is $11.75

Step-by-step explanation:

Let

x ----> the cost of the doll

y ----> the cost of the toy t-rex

we know that

[tex]x+y=33[/tex] -----> equation A

[tex]y=x+9.50[/tex] ----> equation B

substitute equation B in equation A and solve for x

[tex]x+(x+9.50)=33\\2x+9.50=33\\2x=33-9.50\\2x=23.50\\x=\$11.75[/tex]

therefore

The cost of the doll is $11.75

Answer:

Doll cost = $11.75.

Step-by-step explanation:

Given  :A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll.

To find :   how much did the doll cost.

Solution : We have given

A doll and a toy t-rex cost $33 together.

Let the Doll cost = x .

According to question .

t-rex toy costs $9.50 more than the doll.

T-rex cost = $9.50+ x .

Then, A doll and a toy t-rex cost $33 together.

Doll cost + T oy t-rex cost =  $33

Plugging the values

x +  $9.50+ x  =$33 .

2x + $9.50 =$33 .

On subtracting both sides by $9.50

2x =33 - 9.50

2x = 23.5.

On dividing both sides b y 2

x = $11.75

Doll cost  =$11.75

Toy Cost = 9.50 +11.75.

Toy Cost = $21.25

Therefore, Doll cost = $11.75.

What is the answer to this problem work included please

Answers

Answer:

B)  ( x +  3y)²

Step-by-step explanation:

u = x + y    ;  v =  x + 5y

uv = ( x + y ) * ( x + 5y)                

    = x * ( x + 5y) + y * (x + 5y)                    [ x * ( x + 5y) = x*x + x*5y = x² + 5xy]

    = x² + 5xy  + xy  + 5y²

   uv  = x² + 6xy + 5y²----------equ 1

v - u =   x + 5y - ( x+y)

       = x + 5y - x - y

       =  4y

(v-u)² = (4y)² = 16y²

[(v-u)/2]² = 16y² / 2²

              = 16y² / 4 = 4y²

[(v-u)/2]² =  4y²     ----------- equ 2

uv + [(v-u)/2]² = x² + 6xy + 5y² + 4y²      ( from equ 1 and equ 2)

                     = x² + 6xy + 9y²

                     = ( x +  3y)²

The product of 18 and q

Answers

Answer:

18q

Step-by-step explanation:

18 times q = 18q, thats all

The product of 18 and q is 18q. Multiply 18 and q to get 18q

The graph represents one side of the roof of a building.
The slope of the line is

Answers

Answer:

The slope of the line is 7/2.

Step-by-step explanation:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given figure it is clear that the line passes though two points (0,0) and (4,14).

Using the above formula, the slope of the line is

[tex]m=\frac{14-0}{4-0}[/tex]

[tex]m=\frac{14}{4}[/tex]

[tex]m=\frac{7}{2}[/tex]

Therefore the slope of the line is 7/2.

Answer:

the answer is 7/2

Step-by-step explanation:

Harry kept a record of how far he ran
each day last week

Distance (in miles)
Monday 4.5
Tuesday 3.9
Wednesday 4.25
Thursday 3.75
Friday 4.2
On which day did Harry run the
greatest number of miles?​

Answers

Harry ran the most on Monday

can someone walk me through how to do this problem please?​

Answers

Hey!

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

We Know:

m∠AED = 34°

m∠EAD = 112°

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

Solution:

You notice 4 small triangles in both triangles. That shows that both triangles are the same.

The angles are the same for m∠BDC and m∠AED.

The angles are the same for m∠ADB and m∠EAD

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

Angles:

m∠BDC = 34°

m∠ADB = 112°

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

Congruent Angles:

m∠AED ≡ m∠BDC

m∠EAD ≡ m∠ADB

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

Hope This Helped! Good Luck!

The measure of the angle ∠BDC is 34.

The measure of the angle ∠ADB is 112.

We have,

In the diagram,

There are two congruent triangles.

ΔAED and ΔBDC

Now,

The congruent angles are:

∠AED = ∠BDC

∠EAD = ∠DBC

∠ADE = ∠BCD

Now,

∠AED = 34

∠EAD = 112

This means,

∠AED = ∠BDC = 34

∠EAD = ∠DBC = 112

And,

The sum of the three angles inside a triangle is always 180.

So,

∠AED +∠EAD + ∠ADE  = 180

34 + 112 + ∠ADE = 180

∠ADE = 34

Now,

∠ADE = 34

This means,

∠ADE = ∠BCD = 34

Now,

∠ADE + ∠BDC + ∠ADB = 180

34 + 34 + ∠ADB = 180

∠ADB = 180 - 68

∠ADB = 112

Thus,

The measure of the angle ∠BDC is 34.

The measure of the angle ∠ADB is 112.

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10. Three fifths of the T-shirts in a T-shirt shop are
blue. Five eighths of those T-shirts are on sale.
One third of the blue T-shirts that are on sale are
size medium. What fraction of the shop's T-shirts
are blue T-shirts that are on sale and are size
medium? Explain.​

Answers

Answer:

1/8

Step-by-step explanation:

Imagine the value of all of the t-shirts are equal to 1.

3/5 of all of them are blue, so 3/5 of 1 --> 3/5 * 1 =3/5

5/8 of the blue tshirts are on sale, so 5/8 of 3/5 --> 5/8 * 3/5 = 3/8

1/3 of those tshirts are medium, so 1/3 of 3/8 --> 1/3 * 3/8 = 1/8

So, 1/8 of all of the tshirts are blue, on sale, and medium

The fraction of the shop's T-shirts that are blue, on sale, and size medium is 1/8.

Determining the fraction of the blue T-shirt

To find the fraction of the shop's T-shirts that are blue, on sale, and size medium,  multiply the fractions representing each condition.

Given:

Three-fifths (3/5) of the T-shirts in the shop are blue.

Five-eighths (5/8) of the blue T-shirts are on sale.

One-third (1/3) of the blue T-shirts on sale are size medium.

To find the fraction of blue T-shirts that are on sale,  multiply the fractions representing each condition:

(3/5) * (5/8) = 15/40 = 3/8

This means that 3/8 of the blue T-shirts are on sale.

To find the fraction of blue T-shirts that are on sale and size medium, multiply this result by the fraction representing the size medium condition:

(3/8) * (1/3) = 3/24 = 1/8

Therefore, the fraction of the shop's T-shirts that are blue, on sale, and size medium is 1/8.

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Karel wants to buy a points card for his x-box
live account. He can buy a 200 point card
for $10.00 for a 300 point card to $15
W hich card is a better value?

Answers

Answer:

Both cards are the same value.

Step-by-step explanation:

$10 for 200 points = $5 for 100 points

$15 for $300 points = $5 for $100 points

Both cards are the same value.

Simplify this expression 4(1-2b)+7b-10

Answers

4(1-2b)+7b-10

mutiply the bracket by 4

(4)(1)= 4

(4)(-2b)=-8b

4-8b+7b-10 ( combine like terms)

4-10-8b+7b

-6-b or -b-6

Answer: -6-b or -b-6

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 4(1-2b)+7b-10 when simplified can be written as -(6+b).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.


The given expression 4(1-2b)+7b-10 can be simplified as,

4(1-2b)+7b-10

= 4 - 8b + 7b - 10

= -6 - b

= -(6+b)

Hence, the given expression 4(1-2b)+7b-10 when simplified can be written as -(6+b).

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Can anyone help me with these two problems? I found the distance to one. Please, assignment is due tonight. Thank you. Prove: If n is a positive integer andn2 isdivisible by 3, then n is divisible by3. For analysis purposes Jenny considers her restaurant to have three day parts. These three are breakfast, lunch and dinner. Last month Jenny s breakfast sales were $ 20,000. Lunch sales were 40% of total sales. Total sales were $200,000. What was the amount of sales contributed by the dinner day part? find the value of 15 minus 8 divided by 2 The law of effect laid the foundation for: - Garcia and Koelling's research on taste aversion. - Pavlov's studies of conditioned salivation. - Skinner's experiments on reinforcement. - Watson and Rayner's findings on fear conditioning. 3(x - 6) + 6 = 5x - 6. what is the solution A loan for $85,000 is to be paid in 10 yearly payments. Each payment is larger by $100.00. Compute the first, the fourth, and the last payment, if the time value of money is 10% per year. QUESTION 6 When a plate of oceanic lithosphere meets a plate whose leading edge is continental lithosphere along a convergent plate boundary, what is the result? A volcanic island arc, like the modern Aleutian Islands in Alaska. A mountain belt, like the modern Himalayas. Earthquakes, but no volcanism, like the modern San Andreas Fault in California. A continental volcanic arc, like the modern Andes. QUESTION 7 10 The magnetic field of Earth in the geologic past is Click Save and Submit to save and submit. Click Save AllA to save all answers Why is it important to ground both computers and network devices (Netacad) Let C(x) represent the cost of producing x items and p(x) be the sale price per item if x items are sold. The profit P(x) of selling x items is P(x)=xp(x)-C(x) (revenue minus costs). The average profit per item when x items are sold is P(x)/(x) and the marginal profit is dP/dx. The marginal profit approximates the profit obtained by selling one more item given that x items have already been sold. Consider the following cost functions C and price function p.C(x)=-0.02x^2+40x+80, p(x)=100, a=500a) what is the profit function P.P(x)=?b) find the average profit function and marginal profit function.average profit function: P(x)/(x)=?marginal profit function: dP/dx=?c OMG PLZ HELP RN Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two.5/8x-12=1/2x+2What is the answer? Compute the missing amount in the accounting equation for each company (amounts in billions): Assets Liabilities Stockholders' Equity Love Drycleaners $ ? $43 $38 Ernie's Bank 25 ? 20 Weekly Stop Grocery 38 9 ? Requirement 1. Which company appears to have the strongest financial position? Explain your reasoning. Calculate the missing amounts. (Enter amounts in billions.) Assets Liabilities Stockholders' equity Love Drycleaners 81 $43 $38 Ernie's Bank 25 45 20 Weekly Stop Grocery 38 9 In which areas of the body would you expect to find the most Merkel discs and tactile corpuscles? Why? Mr. Johnson has his newspaper delivered every day. He determines the probability the newspaper is on his front porch is 0.64. The rest of the time he finds the newspaper somewhere on his lawn. What is the probability that Mr. Johnson finds his newspaper on his lawn? A 25 liter gas cylinder contains 10 mole of carbon dioxide. Calculate the pressure, in atm, of the gas at 325K. ANSWER ASAP BRAINLIESTwhich of the following is NOT a idea from the enlightment?kings should rule by divine right with absolute power Governments exists to serve the poepleall citizens are born with natural rights to life liberty and propertyuse of reason can solve government problems What does federal government require public libraries to do? Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per week and must burn at least 2,000 calories per week. The exercise he is allowed todo is brisk walking which burns about 350 calories per hour and biking at a moderate pace which burnsabout 700 calories per hour. Which graph best represents the set of all points that satisfy the systemrepresenting Nando's exercise options? Which of the following statements is (or are) consistent with the view that the pie is not fixed in free markets? In every trade, there is a winner and a loser. Trade is to mutual advantage. High standards of living in freemarket economies are attributable to trade. In markets, wealth is created not just distributed or transferred. Trade maximizes the zero sum. What is 118 rounded to the nearest hundred