Order of Operations Consider the numerical expression: 3 + 6 × (5 + 4) ÷ 3 − 7.

Question 1

To evaluate the numerical expression, what is the first step in the order of operations?

A Perform any calculations inside parentheses.

B Perform all additions, working from left to right.

C Perform all multiplications, working from left to right.

D Perform all divisions, working from left to right.

Question 2

Evaluate the given numerical expression.
Responses

A 21

B 14

C 9

D 12

Answers

Answer 1

Answer:

Add 5 +4 × 6 ÷ 3 - 7 + 3and you will get 14 and that is your answer

Answer 2
1. A
because PEMDAS, parentheses go first

2. B 14

3+6 x (5+4) / 3-7
3+6 x 9 / 3 -7
3+18-7
14

Related Questions

I'm fifty years old it's a discreet or continuous variable justify the answer

Answers

I'm fifty years old the sentence is a discrete variable and not continuous variable as age is counted in concrete numbers and it does not involve complex numbers.

What is discrete and continuous data?

Discrete data is a sort of numerical information that consists of full, concrete numbers with predetermined, set values that can be counted. Complex numbers and fluctuating data values taken over a predetermined period of time are examples of continuous data.

Numerical information that is continuous refers to the unspecified number of measurements that could be made between two realistic sites.

Despite the fact that these numbers are frequently gathered via accurate measurements, they are not necessarily neat and orderly as those in discrete data. Measuring a specific issue repeatedly enables us to establish a defined range, within which we can predictably gather more data.

I'm fifty years old the sentence is a discrete variable as age is counted in concrete numbers and it does not involve complex numbers.

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Fill in the missing number.

80% of
= 240,000



Answers

Answer:

The missing number is 300,000.

Step-by-step explanation:

To find the missing number, we can set up an equation based on the information given. If 80% of a number is equal to 240,000, we can write:

0.80x = 240,000

To find x, we can divide both sides of the equation by 0.80:

x = 240,000 / 0.80 = 300,000

So, the missing number is 300,000.

Problem 1:
The US Department of Energy conducts weekly surveys of approximately 900 gasoline stations to
determine the average price per gallon of regular gasoline in the U.S. On December 29, 2003, the average price was $1.478 per gallon.
a. Identify the population.
b. Identify the sample.
c. Identify the parameter.
d. What is the statistic?
e. If the 900 gasoline stations were randomly selected from the gasoline stations in Minnesota.
Is this a good sample? Explain.

Answers

The population is 900 gasoline stations. The sample is 800. The parameter is price of gasoline. The statistics is for 900 stations and not all stations.

What is average?

The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.

The population is 900 gasoline stations.

The sample is 800.

The parameter is price of gasoline.

The statistics is for 900 stations and not all stations.

The sample selected is a good sample as it covers most of the gas stations.

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40 EASY POINTS!

Answer all of them with examples of how you got the answer for 40 points :)

Answers

1. store A sells at cheaper rate.

2. Runner B tun at faster rate.

3. Submarine 2 will reach at depth of -1056 feet at faster rate.

4.  Kira collected 18.33 points in one hour.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Store A: y= 0.40 x

so, the unit rate is 0.40.

Store B:

the cots of 3 pound carrot= 20.16

and, the cost of 48 ounce carrot = 20.16

and, cost per ounce= 20.16 /48= 0.42

so, the unit rate is 0.42.

Thus, store A sells at cheaper rate.

2. The unit rate rate of runner A

= 54/4.5

= 12

and, the unit rate of runner B

= 275/20
= 13.75

Thus, Runner B tun at faster rate.

3. Submarine 1 descends at rate of 22 feet.

and Submarine 2 descends at rate of = 480/20 = 24 feet.

Thus, Submarine 2 will reach at depth of -1056 feet at faster rate.

4. Jess collected 18 points in one hour.

and, Kira collected 18.33 points in one hour.

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What is the probability of rolling a number greater than or equal to 2 on a standard six-sided die? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

Answers

The probability of getting a number greater than or equal to 2 is 0.8333( 3 decimal place)

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space/ total possible outcome

The total outcome on a standard six-sided die is 6

The sample space of getting a number greater or equal to 2 is 2,3,4,5,6 = 5

Therefore the probability of getting a number greater or equal to 2 is = 5/6

= 0.833 ( 3 decimal place)

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A container holds 6 pounds of peanuts. How many ounces of peanuts are in the container? (1 pound = 16 ounces)

12 ounces
16 ounces
54 ounces
96 ounces

Answers

Step-by-step explanation:

Good Afternoon! Your Answer would be 96!

16 x 6 = 96

How do we find this answer?

16 + 16 = 32

And 32 would be 16 twice!

32 + 32 = 64

And 64 would be 16 four times!

So now time to get the answer, 64 + 32 = 96.

Have An Amazing day.

How many adults binge drink four times per month?
A. 1 in 10
B. 1 in 6
C. 1 in 4
D. 1 in 8

Answers

Answer:

C.

Step-by-step explanation:

Its more likely to happen

c is the right answer

A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and
67. Find the five-number summary used in a boxplot. Which boxplot best represents the data?
+
a.
b.
C.
d.
++++
50 55 60 65 70 75 80 85 90 95 100 105
+4
+ +
+
+++
50 55 60 65 70 75 80 85 90 95 100 105
4
4++
50 55 60 65 70 75 80 85 90 95 100 105

50 55 60 65 70 75 80 85 90 95 100 105

Answers

Quadrile 1: 70 Quartile 3: 90 Median: 83.5 Lowest: 58 The average of the five summaries is maximum: 102.

what is mean ?

The mean of even a dataset, often described as the mean and median, is the sum including all values divided by the overall number of values (as opposed to the geometric mean). This represents the most often used indicator of central tendency and is constantly referred to as the "mean." This is obtained by dividing the number of values contained within the dataset by the sum of all the values. Calculations can be conducted using either raw data or data that has been integrated into frequency tables. A number's average is called to as its average. Simple statistics can be used to determine: After adding up all the digits, divide by the number of digits total. the sum divided by the number.

given

The first quartile, median, third quartile, and maximum are the five summaries that make up the distribution of the ordered observation.

Five-number formula overview

Minimum: The first piece of the set

(n+1)/4 is the first quartile.

Average: (n+1)/2

Quartile three: 3(n+1)/4

Maximum: The set's final component

The five-digit grade summary (90, 85, 97, 76, 89, 58, 82, 102, 70, 67)

58 minimum

70 in the top quartile

Average: 83.5

90th percentile:

The most: 102

Quadrile 1: 70 Quartile 3: 90 Median: 83.5 Lowest: 58 The average of the five summaries is maximum: 102.

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Mr. Abott washed 3 8 of his laundry. His son washed 1 3 of it. Who washed more laundry? How much of the laundry still needs to be washed?

Answers

His son washed more and 2 3 needs to be washed

If the interval size is decreased from $200 to $100, which of the following must remain the same on the newhistogram?a) The height of the bars will decrease.b) The total number of bars will decrease. c) The width of the bars will increase. d) Each bar will represent more data items than before.

Answers

If the interval size is decreased from $200 to $100, then option a. The height of the bars will decrease.

How is this determined?

The height of the bars will decrease if the interval sizes in a histogram are reduced while the scale remains constant. When the intervals are compressed,

For a particular set of data, there will be more histogram bars, but fewer data points will make up each interval. Reducing the interval size will also reduce the height of the histogram's bars because the height of the bars represents the number of items in each interval.

Hence, if the interval size is decreased from $200 to $100, then option a. The height of the bars will decrease.

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A is the correct of the circle. The diagram is not drawn to scale.
If m

Answers

Answer:

Four thousand two hundred and

Step-by-step explanation:

Pls help I need this quick thx :D

Answers

The steps followed by Nikki are correct. Hence, option 1 is the correct answer.

How to construct parallel line to a given line and passing through a given point?

Using a ruler and compass, perform the following procedures to create a line from an exterior point that is parallel to the other line:

Given: A point P that sits outside of line segment AB and line segment AB

to create a line that runs through point P and is parallel to line AB.

Select any point X and connect it to point P on the line segment AB.

Draw an arc with X as the center and any reasonable radius, cutting the line segments PX and AB at points M and N, respectively.

Draw an arc EF with P as the center and the same radius as in the previous step, cutting the line segment PX at point Q.

Draw an arc with Q as the center and the same radius as previously, cutting the arc EF at R.

To create the line segment CD, join R and P.

The necessary parallel to the line segment AB that goes through the point P is the line segment CD.

According to the steps of construction we determine that the steps of construction of Nikki are correct.

Hence, option 1 is the correct answer.

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I NEED THE ANSWER ASAP



You then need to write an equation of a line using slope-intercept format goes through the point (4,2) and is parallel to y = 1/2x - 3

Answers

An equation of a line using slope-intercept format goes through the point (4, 2) and is parallel to y = 1/2x - 3 is y = x/2.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.x and y represents the data points.

From the information provided above, we have the following slope and data points on the line:

Points = (4, 2).Slope, m = 1/2.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ ⇒ 1/2 = 1/2

At data point (4, 2), a linear equation of this line can be calculated in point-slope form as follows:

y - 2 = 1/2(x - 4)

y - 2 = x/2 - 2

y = x/2 - 2 + 2

y = x/2

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For the following exercises, find the measure of the angle between the three-dimensional vectors a and b. Express the answer in radians rounded to two decimal places, if it is not possible to express it exactly 135. a = (3. -1,2), b = (1,-1,-2) 136. a = (0,-1, -3), b = (2,3,-1)

Answers

The angle between the 3D vectors a = (3, -1, 2) and b = (1, -1, -2) is 2.23 radians. The angle between a = (0, -1, -3) and b = (2, 3, -1) is 2.43 radians.

The angle between two vectors a and b in three-dimensional space can be found using the dot product formula:

cos(θ) = (a * b) / (||a|| * ||b||)

Where ||a|| and ||b|| represent the magnitude (length) of vectors a and b, respectively, and "*" represents the dot product of the two vectors. The dot product is given by:

a * b = a1 * b1 + a2 * b2 + a3 * b3

Where a1, a2, and a3 are the components of vector a, and b1, b2, and b3 are the components of vector b. The angle θ is then calculated using the inverse cosine function:

θ = arccos(cos(θ))

Finally, the angle θ is expressed in radians.

For the first problem, we have:

a = (3, -1, 2)

b = (1, -1, -2)

So, we have:

a * b = 3 * 1 + (-1) * (-1) + 2 * (-2) = 3 - 1 - 4 = -2

||a|| = [tex]\sqrt{(3^2 + (-1)^2 + 2^2)} = \sqrt{(14)}[/tex]

||b|| = [tex]\sqrt{(1^2 + (-1)^2 + (-2)^2) }= \sqrt{(6)}[/tex]

cos(θ) = [tex](-2) / (\sqrt{(14)} * \sqrt{(6)} ) = -\sqrt{(2)} / \sqrt{(21)[/tex]

θ = arccos[tex](-\sqrt{(2)} / \sqrt{(21)})[/tex] = 2.23 radians (rounded to two decimal places)

For the second problem, we have:

a = (0, -1, -3)

b = (2, 3, -1)

So, we have:

a * b = 0 * 2 + (-1) * 3 + (-3) * (-1) = -3

||a|| = [tex]\sqrt{(0^2 + (-1)^2 + (-3)^2)} = \sqrt{(10)}[/tex]

||b|| = [tex]\sqrt{(2^2 + 3^2 + (-1)^2)} = \sqrt{(14)}[/tex]

cos(θ) = [tex]-3 / (\sqrt{(10)} * \sqrt{(14)}) = -3 / \sqrt{(140)}[/tex]

θ = arccos[tex](-3 / \sqrt{(140)})[/tex] = 2.43 radians (rounded to two decimal places)

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To help restart the economy growth, government is offering simple interest loans to small business at a rate 1.5%.

Say, you obtain one of these loans of $90,000 for 5 years. Determine the amount of money you must repay the government after 5 years.

Answers

Answer:

96750

Step-by-step explanation:

s.i=p×r×t

=90000×5×15/10 all divided by 100

9000×5×15 divided by 100

=90×5×15

=6750

amount=s.i+principal

=6750+90000

=96750

how much is 0.15% of 12000 ?

Answers

Answer:

0.15% of 12000 is equal to 18.

Step-by-step explanation:

To calculate 0.15% of 12000, we first convert 0.15% to a decimal. To do this, we divide 0.15 by 100:

0.15 ÷ 100 = 0.0015

Next, we multiply this decimal by 12000:

0.0015 × 12000 = 18

So, 0.15% of 12000 is equal to 18.

12000-100%
X - 0.15% X=12000x0.15/100=18

You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house has a market value of $180,000. Your bank requires 1/5

Answers

The amount of the down payment for the house, given the market value and the amount your bank requires is $ 36, 000

How to find the down payment ?

The bank that you work for requires that for mortgage loans, the applicants ( in this case Mr. and Mrs. Brady) , should be able to pay 1 / 5 of the market value of the property as down payment.

The down payment is therefore :

= Market value of house x Requirement of bank

= 180, 000 x 1 / 5

= 180, 000 / 5

= $ 36, 000

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The rest of the question is:

Your bank requires 1/5 of the market value as a down payment.

What is the amount (in $) of the down payment?

12. aj is 10 and the difference is 6, find the numbers. b) A number is greater than another number by 3. If their sum is 33, find the numbers.​

Answers

The value of the two numbers in b is 15 and 18

How to solve for the numbers

To get the values we would have to set up an equation system

Such that we would have:

the smaller number is given as c

Then the bigger number is given as c + 3

The equation would be

c + c + 3 = 33

then

2c = 33 - 3

2c = 30

From here we would have to divide both sides of the equation by 2

2c / 2 = 30 / 2

c = 15

33 - 15 = 18

Hence the numbers are given as 15 and 18

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Which of the following integrals represents the area of the region bounded by the curves, y = -3x^(1/2), y = x - 4, and y = 0, in terms of x?a. ∫(4, 0) (-3 √x) dx + ∫(5, 4) (x - 4) dxb. ∫(4, 0) -3 √x dx c. ∫(1, 0) 3√x dx + ∫(4, 1) (-x + 4) dxd. ∫(2, 0) 3√x dx + ∫(4, 2) (-x + 4) dxe. ∫(1, 0) (-3√x) dx + ∫(4, 1) (-x + 4) dx

Answers

That’s jibber jabber I reading allat

SOMEONE HELPPPPP MEEEEEE PLEASE

Answers

Answer:

a.) (1,4), (-2,3), (0,4)

b.) (4,1), (3,-2), (4,0)

Step-by-step explanation:

a. When we want to find the reflection over the Y axis, that means the X coordinate signs reflect. For A, it says (-1,4). To reflect it, we reflect the X coordinate, so now it's (1,4) instead. You'll do that to the other two.

b. When rotating, you would switch the numbers of the coordinates and switch the sign of X. For the first one (-1,4), we'll switch it to (1,4). Not we'll switch the numbers around to make it (4,1). You'll do that for the other two

the ratio in the simplest form 3:9

Answers

Answer:

1:3

Step-by-step explanation:

the greatest common factor is 3 so to simplify divide both sides by 3.

The cost of tuition at a state college is $8,500 and is increasing by 3% each year. what is the cost of the tuition after 6 years?

Answers

Answer: $51,000

Step-by-step explanation:

At first, I multiplied 8,500 times 3 then the outcome I got was 25,500 so now I'm going to try multiplying 8,500 times 6 which equals 51,000 but I'm sorry if I got the answer wrong

Find the value of x of the triangle below

Answers

Angles in a triangle add to 180 degrees

make a little equation for that

58 + 42 + x = 180

simplify

100 + x = 180

x = 180 - 100

x = 80

Hope this helps,

- Jeron :- )

FIND MULTIPLICITY AND ZEROS OF THE GRAPH!

Answers

Answer: The Zeros Are(in order) -3,-2,-1,1, 1.5 ALL have a multiplicity of 1.

Step-by-step explanation: Since the 0's cross the graph and don't "bounce" on the x-axis, they're all for a multiplicity of 1.

Explain how to rewrite the function shown in order to determine the transformation of the parent function. Then, describe the transformation of the graph compared to the parent function. y=3sqaure root-8x-4

Answers

The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

f(x) = 3√(-8x - 4)

Simplify the function, then we have

f(x) = 3√(-8x - 4)

f(x) = 6√- (2x + 1)

Divide the equation by 6, then we have

g(x) = √(-2x - 1)

Replace -(2x + 1) with x, then we have

h(x) = √x

The parent function of the function f(x) = 3√(-8x - 4) will be h(x) = √x.

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Answer:

Rewrite the equation by factoring –8 from the radicand and taking the cube root to get –2 in front of the radical symbol.

The graph is reflected over the x-axis.

The graph is also reflected over the y-axis.

The graph is vertically stretched by a factor of 2.

The graph is translated ½ unit to the left.

Step-by-step explanation: All possible answers for edge

Parallelogram EFGH has vertices E(1, 3), F(3, 5), and G(4, 2). What are the coordinates of point H?

Answers

The coordinates of the point H of the parallelogram is H ( 2 , 0 )

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as EFGH

Now , the coordinates of the parallelogram is given by

Substituting the values in the equation , we get

The coordinate of E = E ( 1 , 3 )

The coordinate of F = F ( 3 , 5 )

The coordinate of G = G ( 4 , 2 )

The coordinate of H = H ( x , y )

Now , the difference in the x coordinates of F and G = ( 4 - 3 ) = 1

The difference in the y coordinates of F and G = ( 2 - 5 ) = -3

So , the coordinates of the point H = x coordinate of E + 1 and y coordinate of E - 3

On simplifying the equation , we get

The coordinate of H = H ( 2 , 0 )

Hence , the coordinates of the parallelogram is H ( 2 , 0 )

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PLEASE HELP MY HW IS LATE

Answers

The following information can be extracted from the system of triangles ABC and DEF:

Case A: 3 / 5 = y / z

Case D: m ∠ C = m ∠ F

Case E: Δ ABC ~ Δ DEF

How to interpret a system of two similar triangles

In this problem we find a representation of a system with two similar triangles, that is, two triangles with two congruent internal angles and proportional sides. Then, the following relationships are derived below:

m ∠ A = m ∠ D

m ∠ B = m ∠ E

m ∠ C = m ∠ F

AB / DE = BC / EF = AC / DF

6 / 10 = y / z = x / w

3 / 5 = y / z = x / w

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15.0782 to one decimal place​

Answers

Answer:

15.1

Step-by-step explanation:

15.0782 is between 15.0 and 15.1.  It is closer to 15.1

what is the equation of a line with a y-intercept of -3 and a slope of -4/5

Answers

Answer:

Below

Step-by-step explanation:

y= mx + b     is the slope intercept form of a line  

                           m = slope     and       b = y-axis intercept

Plug in the given values

y = -4/5 x -3

find the value of x and please show process!

Answers

Answer x = 8

Step by step

We know the three interior angles of a triangle will always have a sum of 180°.

Here we know triangle DEF is an Isosceles Triangle. Two sides are congruent to each other noted by the tick marks.
The two angles opposite to the equal sides are congruent to each other.

So we know:
D = 11x - 18
F= 11x - 18
E = 40

Total to equal 180, so our equation is
2(11x - 18) + 40 = 180
Multiply

22x - 36 + 40 = 180
Simplify

22x + 4 = 180
Subtract 4 from both sides to isolate variable

22x + 4 - 4 = 180 - 4
Simplify

22x = 176
Divide both sides by 22 to solve for x

22/22 x = 176/22

x = 8

Now solve your unknown angles

D = 11x - 18
D = 11(8) - 18
D = 88 - 18
D = 70

F= 11x - 18
F = 11(8) - 18
F = 88 - 18
F = 70

Now add all three angles

70 + 70 + 40 = 180

Problem solved!

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a body of mass 10kg on a smooth inclined plane is connected over a smooth pulley to a mass of 15kg. acceleration of the system is? the sum of 4.5 and one-third a number is equal to at most 38.9. what are all the possible values of the number? how would you write an inequality that could be used to solve this problem?(1 point) Help ASAP ! Please!!! TRUE OR FALSE1. Compressions are regions of low air pressure2. Sound waves are considered electromagnetic waves3. Rarefaction region is where the particles are close to one another4. Sound waves cannot travel in a void space.5. The wavelength of sound waves can be measured at the distance from one rarefaction to another adjacent comparison6. Longitudinal waves can have either compression or rarefaction7. Light waves are transverse waves8. Light travels faster than sound9. The speed of light in a certain medium is slower than its speed in a vacuum10. The higher the frequency of light the longer its wave length identify the sentence type (have you been studying hard for your examination) which one of the following processes increases the entropy of the system? group of answer choices filtration condensation freezing crystallization sublimation the presidential election of 1876 saw some regions of the country leaning republican and others leaning democrat. which statements correctly describe the geographic voting patterns? skills determine the ability to conceive information from data. group of answer choices symbolic thinking spatial abstract reasoning cognitive experimentation The sum of two integers is -45. If one of them is 90 find the other. Who is the most famous philosopher in Greece rachel is promoted to the positon of ceo when her company faces bankruptcy, but she is replaced by her colleague dan when she fails to save the company. this scenario illustrates . the hypersensitivity treatment that stimulates an increase of igg and regulatory t cells, as well as causes a decrease in ige, is known as Writing effective messages in business helps with which of the following? (Choose every correct answer.)driving collaborationboosting productivity very urgent 50 points 1) In your own words, write a definition for sales tax.2) If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes? - Explain in detail, the steps you would take to solve this sales tax question. 3 paragraphs please before the agricultural revolution and after the agricultural revolution How did riches and power lead to Church abuses and then to reforms? the planet Mars may be considered to be an isolated sphere of diameter of 6.7910^6m with it's mass of 6.4210^23 kg concentrated at its center. A rock of mass 1.40kg rests on the surface of Mars.(assume that the dimensions of the rock are negligible compared to the radius of Mars)(I) determine the weight of the rock on Mars(ii) show that the gravitational potential energy of the rock is -1.7710^7J in the 1960s and 1970s, social upheaval and soul-searching in western society gave rise to humanistic and existential therapies. the best explanation for this trend is that these theories: What is the peak wavelength of light coming from a star with a temperature of 5300 K?(Submit your answer in nanometers. Remember 1nm = 10-9 m) If we look at a molecule of water, H2O, we see there are 3 atoms in each molecule. So, we can see that 1 mole of water contains 3 moles of atoms (2 moles of H, 1 mole of O). Therefore, water contains 6.02 1023 atoms/mole 3, or 1.81 1024 atoms. If that is true, how many atoms are in 1.00 mole of glucose, C6H12O6?URGANT