Please answer as soon as possible.

Eric downloads a coupon for 10% off. He bought a camera for 95 dollars and an extra battery for 15.99 dollars.

a: what is the total cost if the coupon is applied to the digital camera

b: What is the total cost if the coupon is applied to the extra battery

c: To witch item should Eric apply the discount? explain

d: Eric has to pay 8% sales tax after the coupon is applied. How much is his total bill?

Answers

Answer 1
A: $101.49
B: $109.39
C: He should apply the discount on the digital camera because it saves him more money.

Is the coupon being applied to the overall price or on a specific item?

Related Questions

Mrs evans has 120 crayons and 30 pieces of paper to give to her students. what is the largest number of students she can have so that each student gets equal number of crayons and equal number of pieces of paper

Answers

30students is the highest she can have

The maximum number of students that will receive the paper and crayons are 30.

What is ratio?

Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Given is Mrs. Evans who has 120 crayons and 30 pieces of paper to give to her students.

We have 120 crayons and 30 pieces of paper.

Then for 1 paper, we will have (120/30) which is equivalent to 4 crayons.

So, every student will get 1 paper and 4 crayons.

Assume that the maximum number of students that will receive the paper and crayons are [x]. Then, we can write -

x + 4x = 120 + 30

5x = 150

5x = 150

x = 30

Therefore, the maximum number of students that will receive the paper and crayons are 30.

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Foster is centering a photo that is 1/1 2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the page should he put the picture? Please enter it as a mixed number

I will give 39 points if you answer this question

Answers

The answer would be 4 1/4 (4.25)
10-1.5=8.5/2=4.25

Hope this helps!
Can u plz mark me as brainliest? I really need it!

Answer: 4.25

Step-by-step explanation:

4.624 to the nearest 10m

Answers

4620 mhope this helps 

The value of the decimal number 4.624 to the nearest 10 places is 4.6

What is rounding off the numbers?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

Given decimal number is 4.624. The rounding off is:-

4.624 = 4.6 at 10 places

Therefore, the value of the decimal number 4.624 to the nearest 10 places is 4.6

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Which expression is equivalent to the following complex fraction?

Answers

answer is -4x+7/2(x-2). 

A regulation baseball field measures 90 feet between each base. What is the distance around the bases in yards?

Answers

home to 1st base = 90 ft
1st base to 2nd base = 90 ft
2nd base to 3rd base = 90 ft
3rd base to home = 90 ft
so we have a total of : (90 * 4) = 360 ft

there are 3 ft in 1 yd....
so in 360 ft, there are : 360/3 = 120 yds <==

or u could just figure it between each base....90 ft = (90/3) = 30 yds per base...and u have 4 bases....so that (4 * 30) = 120 yds

The distance around the bases in yards is 30 yards.

In order to determine the distance between each base in yards the unit of conversion of feet to yards have to be first determined. 1 foot is equivalent to 0.333333 yards.

1 feet = 0.333333 yards

The second step is to multiply the distance between each base by the unit of conversion.

Distance between each base x unit of conversion

90 x 0.333333

= 30 yards

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Problem page a light bulb consumes 2400 watt-hours per day. how many watt-hours does it consume in 3 days and 6 hours?

Answers

Calculate for 3 days: 2,400 x 3 = 7,200

Calculate 1 day per hour: 2,400 ÷ 24 = 100
Calculate for 6 hours: 100 x 6 = 600

7,200 + 600 = 7,800 watt-hours

Final answer:

The light bulb consumes 7800 watt-hours in 3 days and 6 hours, calculated by summing the daily consumption over three days and additional energy consumed in 6 hours.

Explanation:

To calculate the energy consumption in watt-hours, we first understand that the light bulb consumes 2400 watt-hours in one day. To find out how much it consumes in 3 days and 6 hours, we multiply the daily consumption by the number of days and then add the consumption for the additional 6 hours:

Energy consumed in 3 days = 2400 watt-hours/day  imes 3 days = 7200 watt-hours

Energy consumed in 6 hours = (2400 watt-hours/day) / (24 hours/day)  imes 6 hours = 600 watt-hours

Adding these two amounts gives us the total energy consumption in the specified time:

Total energy consumption = 7200 watt-hours + 600 watt-hours = 7800 watt-hours

Therefore, the light bulb consumes 7800 watt-hours in 3 days and 6 hours.

Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $26,000 and a standard deviation of $5000. what is the cutoff salary for teachers in the bottom 10%?

Answers

To solve this we would need to find the bottom 10% z-score and find c such that Pr(X<c)=0.1. We find that c = -1.2815 using normal distribution. The cutoff salary for teachers in the bottom 10% would be X=26000 + 5000 x (-1.28155) or 19,592.24.

If a line has a positive slope what is its general direction

Answers

Final answer:

A line with a positive slope generally moves upward from left to right, representing an increase in y-values as x-values rise.

Explanation:

If a line has a positive slope, its general direction is upward from left to right. This means that as the x-values increase, the y-values also increase. The slope of a line in mathematics represents the rate at which y changes with respect to x. A positive slope indicates a direct relationship between the two variables involved; as one increases, so does the other. In the context of a graph, this manifests as a line that rises as it moves along the x-axis.

The nature of the slope determines the line's direction. A higher positive slope indicates a steeper ascent, while a smaller positive slope results in a less steep, flatter incline. The concept of slope is crucial in economics as well, as it measures the relationship between two variables, such as price and quantity supplied, where a positive slope illustrates that firms supply more as the price goes higher.

Which expression is equivalent to 12x^4(x-3)(x+5)/ 30x(x+3)(x+5)

Answers

simplifying we get     2x^3(x - 3) / 5 (x + 3)

The equation which is equivalent to the given expression is 4x + y = 21.

What is an expression?

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.

We have,

Expression [tex]\frac{12x^4(x-3)(x+5)}{30x(x+3)(x+5)}[/tex]

So,

Now,

To get the equivalent expression,

Cancel the common factor (x + 5) of the given expression,

On solving,

We get,

[tex]\frac{12x^4(x-3)}{30x(x+3)}[/tex],

Now,

On solving further,

We get,

[tex]=\frac{2x^3(x-3)}{5(x+3)}[/tex]

So, We can not solve it further,

So, This is the expression that is equivalent to the given expression.

Hence, we can say that the equation which is equal to the given expression is [tex]\frac{2x^3(x-3)}{5(x+3)}[/tex].

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If f(x) =3x^2 and g(x) =4x^3 +1 what is the degree of fg (x)

Answers

f°g(x) = f(g(x)) = 3(g(x))² = 3(4x³ + 1)².
Now, when you expand the bracket, you will find that the highest degree or degree of the polynomial is 6. 
∴degree of fg (x) = 6

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
How many solutions does the equation have?
2x+3+4x x2

A)many solutions
B)no solutions
C)1 solution

Answers

I'd say C, hopefully that helps.
THIS HAS NO SOLUTION BECAUSE THERE ISNT X2

How many sides does a polygon have if the sum of interior angles is 11700

Answers

The sum of the measures of the interior angles of a polygon of n sides is
180(n - 2)

180(n - 2) = 11700

n - 2 = 65

n = 67

It has 67 sides.

Solve:C=10d + 5n for n

Answers


[tex]n = - 2d + \frac{c}{5} [/tex]
hope this helps

Which expression will produce a positive product:

(-12)(12)(-6.3)(-0.2)(-15.9)
(12)(-6.3)(-0.2)(-15.9
(-12)(12)(-6.3)(-0.2)(-15.9)(0)
(12)(12)(6.3)(0.2)(-15.9)

Answers

Final answer:

To produce a positive product, the expression (12)(-6.3)(-0.2)(-15.9) should be used.

Explanation:

To determine which expression will produce a positive product, we need to consider the sign rules for multiplication.

If we have an even number of negative signs within a set of parentheses, the product will be positive. If we have an odd number of negative signs, the product will be negative.

Let's analyze the given expressions:

(-12)(12)(-6.3)(-0.2)(-15.9): This expression has five negative signs, which means it will produce a negative product.(12)(-6.3)(-0.2)(-15.9): This expression has four negative signs, which means it will produce a positive product.(-12)(12)(-6.3)(-0.2)(-15.9)(0): This expression includes a 0, and any product multiplied by 0 will be 0, which is neither positive nor negative.(12)(12)(6.3)(0.2)(-15.9): This expression has one negative sign, which means it will produce a negative product.

Therefore, the expression (12)(-6.3)(-0.2)(-15.9) will produce a positive product.

Final answer:

The expression that will produce a positive product is (12)(-6.3)(-0.2)(-15.9) because it contains an even number of negative signs, which results in a positive product according to the rules of multiplication regarding signs.

Explanation:

To find which expression will produce a positive product, we must recall the rules of multiplication regarding signs:

When two positive numbers multiply, the result is positive (e.g., 2x3 = 6).When two negative numbers multiply, the result is also positive (e.g., (-4) x (-3) = 12).When multiply numbers with opposite signs, the result is negative (e.g., (-3) x 2 = -6 and 4 x (-4) = -16).When any number is multiplied by zero, the result is always zero.

We can now evaluate the expressions given:

(-12)(12)(-6.3)(-0.2)(-15.9): This expression has an odd number of negative signs, so the product is negative.(12)(-6.3)(-0.2)(-15.9): This has an even number of negative signs, making the product positive.(-12)(12)(-6.3)(-0.2)(-15.9)(0): The presence of a zero means the product is zero.(12)(12)(6.3)(0.2)(-15.9): This has one negative sign, so the product is negative.

The correct expression that will produce a positive product is (12)(-6.3)(-0.2)(-15.9).

True or false any number in the form of a + bi where a and b are real numbers

Answers

True they would be real numbers

True........................


Find the exact coordinates of the centroid for the region bounded by the curves y=x, y=1/x, y=0, and x=2

Answers

The centroid of the region bounded by [tex]\(y=x\), \(y=\frac{1}{x}\), \(y=0\),[/tex] and [tex]\(x=2\)[/tex] is at [tex]\((\frac{2}{3}, 0)\).[/tex]

To find the centroid of the region bounded by the curves[tex]\(y=x\), \(y=\frac{1}{x}\), \(y=0\), and \(x=2\),[/tex]we need to first find the area of the region and then compute the coordinates of the centroid using the following formulas:

The centroid of a region with area[tex]\(A\)[/tex]  is given by [tex]\((\bar{x}, \bar{y})\)[/tex]where

[tex]\[\bar{x} = \frac{1}{A} \int\int_R x \, dA\][/tex]

[tex]\[\bar{y} = \frac{1}{A} \int\int_R y \, dA\][/tex]

First, let's find the points of intersection for the curves:

1. [tex]\(y=x\) and \(y=1/x\):[/tex]

  [tex]\[ x = \frac{1}{x} \implies x^2 = 1 \implies x = 1 \][/tex]

  So, the intersection point is [tex]\((1,1)\).[/tex]

2. [tex]\(y=0\) and \(x=2\):[/tex]

  This intersection occurs at [tex]\((2,0)\).[/tex]

Now, we'll integrate to find the area and then the centroid:

1. Area:

[tex]\[ A = \int_{0}^{1} (x - \frac{1}{x}) \, dx + \int_{1}^{2} (\frac{1}{x}) \, dx \][/tex]

 [tex]\[ A = \left[\frac{x^2}{2} - \ln|x|\right]_{0}^{1} + \left[\ln|x|\right]_{1}^{2} \][/tex]

[tex]\[ A = \left(\frac{1}{2} - 0 - (0 - \infty)\right) + (\ln(2) - \ln(1)) \][/tex]

 [tex]\[ A = \frac{1}{2} + \ln(2) \][/tex]

2. Centroid[tex](\(\bar{x}\)):[/tex]

 [tex]\[ \bar{x} = \frac{1}{A} \left[\int_{0}^{1} x(x - \frac{1}{x}) \, dx + \int_{1}^{2} x(\frac{1}{x}) \, dx\right] \][/tex]

 [tex]\[ \bar{x} = \frac{1}{A} \left[\left[\frac{x^3}{3} - \frac{1}{2}\ln|x|\right]_{0}^{1} + \left[\ln|x|\right]_{1}^{2}\right] \][/tex]

 [tex]\[ \bar{x} = \frac{1}{A} \left(\frac{1}{3} - 0 - (0 - \infty) + (\ln(2) - \ln(1))\right) \][/tex]

 [tex]\[ \bar{x} = \frac{\frac{1}{3} + \ln(2)}{\frac{1}{2} + \ln(2)} \][/tex]

[tex]\[ \bar{x} = \frac{2}{3} \][/tex]

3. Centroid [tex](\(\bar{y}\)):[/tex]

[tex]\[ \bar{y} = \frac{1}{A} \left[\int_{0}^{1} (x - \frac{1}{x}) \cdot 0 \, dx + \int_{1}^{2} (\frac{1}{x}) \cdot 0 \, dx\right] \][/tex]

 [tex]\[ \bar{y} = 0 \][/tex]

Therefore, the centroid of the region is at the point [tex]\(\left(\frac{2}{3}, 0\right)\).[/tex]

A student earned 37 out of 50 points on the last test. What percent correct did the student earn?

Answers

percent = part / whole * 100

% correct = 37/50 * 100 = 74%
The answer is:  " 74% " .
_____________________
% = percent = parts per 100 = x/ 100 ;

37/50 = x/100 ; 

Looking at the denominators; 

50 * (what value?) = 100 ?

→ 100 ÷ 50 = 2 ; 

So;  50 * 2 = 100 ;

So;  37/50 = (37*2) / (50*2) = 74/100 = 74 % .
_______________________________________
The answer is:  " 74% " .
_______________________________________

What is the slope of the line passing through the points (6, 7) and (1, 5) ?

Answers

5-7 = -2 and 1-6= -5 so the slope would be 2/5. you would set it up like this:

y=2/5x   and then your y-intercept
Well Slope is change in y over change in x. So y2-y1/x2-x1. 5-7=-2, 1-6=-5 so -2/-5 or 2/5 as negatives cancel each other out. A common way it is also represented is delta y/ delta x. Delta meaning change in. The answer is 2/5 

1. Find the length (distance) of segments AB, CD, and EF.

AB =

CD =

EF =
2. Find the midpoint of segments AB, CD, and EF.

AB =

CD =

EF =

3. Find the slope of the segments AB, CD, and EF.

AB =

CD =

EF =

Answers

1. AB = 7 units
CD= 3 units
EF= 5 units
2.AB= (-0.5, 2)
CD= (-4,-2.5)
EF=(2.5,-3)
3.AB=0
CD=undefined
EF=-4/3

Answer:

1) AB=7 CD=3 EF=[tex]3\sqrt{5}[/tex] 2) [tex]M_{AB}=\frac{-1}{2},2[/tex] [tex] \\  M_{EF} =(\frac{5}{2}-3)[/tex] \\  [tex] \\ M_{EF} =(\frac{5}{2}-3)[/tex] 3) AB not inclined CD not inclined EF 6/5

Step-by-step explanation:

1) We can use the Distance Formula to answer the 1st. question.

But in the first case AB I'd rather doing it intuitively because it is a straight line parallel to the x-axis

AB

A(-4,2) and B(3,2)

In this segment, also parallel we can calculate the length as |-4|+|3|=7 since both have the same y coordinate.

Using the Distance formula to check it:

[tex]D=\sqrt{(3--4)^{2}+(2-2)^{2}}\\D=\sqrt{49}\\D=7[/tex]

CD

C(-4,-1) D(-4,-4)

Similar to the first one but this time with different y coordinates.

The length will be calculated by subtracting the absolute values for y:

|-4|-|-1|=4-1 = 3

Using the Distance formula to check it:

[tex]D=\sqrt{(-4--1)^{2}+(-4--4)^{2}}\\D=\sqrt{9}\\D=3[/tex]

EF

E (1,-1) F(4,-5)

In this case there's no straight line.

So right to the Distance Formula:

[tex]D=\sqrt{(-5-1)^{2}+(4-1)^{2}}\\ D=\sqrt{36+9}\\D=\sqrt{45}\\D=3\sqrt{5}[/tex]

2) To find the Midpoints we need to calculate the Mean of these two points.

AB

A(-4,2) and B(3,2)

[tex]M_{AB} =\frac{-4+3}{2},\frac{2+2}{2}\\M_{AB}=\frac{-1}{2},2[/tex]

CD

C(-4,-1) D(-4,-4)

[tex]M_{CD} =\frac{-4-4}{2} ,\frac{-1-4}{2} \\M_{CD} =(0,\frac{-5}{2})[/tex]

EF

E (1,-1) F(4,-5)

[tex]M_{EF} =\frac{4+1}{2} ,\frac{-1-5}{2} \\ M_{EF} =(\frac{5}{2}-3)[/tex]

3) To find the Slope let's calculate the quotient of a difference between y-coordinates over x-coordinates of two given points.

[tex]m_{AB}=\frac{2-2}{3--4}=\frac{0}{7}=0[/tex]

AB is not inclined.

CD

C(-4,-1) D(-4,-4)

[tex]m_{CD}=\frac{-4--1}{-4--4}=\frac{-3}{-4+4}=\frac{-3}{0}[/tex]

Not Defined for all Real Set of Numbers

The line CD is not inclined.

EF

E(1,-1) F(4,-5)

[tex]m_{EF}=\frac{-5-1}{4--1}=\frac{6}{5}[/tex]

The line EF has a slope of 6/5

Which ordered pair is a solution of the inequality y>4x-5? A.(3,4) B.(2,1) C.(3,0) D.(1,1)

Answers

The answer is D (1,1)

y>4x-5
1>4(1)-5

Circle the step where the error has occurred. Explain why it is an error.

Given: 2(10−13)=−34+60

Step 1: Distribute
20−26 = −34+60

Step 2: Addition Property of Equality
−26 = −34+80

Step 3: Addition Property of Equality
8=80

Step 4: Division Property of Equality
=10

Answers

2(10 - 13) = -34 + 60
20 - 26 = -34 + 60 (distribute)...correct
-26 = -34 + 40 <=== here it is....he added 20 instead of subtracting 20...he should have used the subtraction property

Answer:

error in step 2. 20 is added on both sides instead of subtraction.

Step-by-step explanation:

Given: [tex]2(10-13)=-34+60[/tex]

Step 1: Distribute

[tex]20-26 = -34+60[/tex]

2 is distributed inside the parenthesis. 2 times 10 is 20

2 times -13 is -26

Step 2: Addition Property of Equality

[tex]-26 = -34+80[/tex]

To eliminate 20 we subtract 20 from both sides. Here 20 is added on both sides. To eliminate any number we do opposite operation. So there is an error in this step.

Step 3: Addition Property of Equality

8=80

Step 4: Division Property of Equality

=10

What is the GCF of 15 and 27 ?

Answers

The correct answer is 3.
the answer is because 9 * 3 = 27 and 5 * 3 = 15

which of the following answer choices describes all the transformation found in the cubic function f(x)=-(x+2)3-5

Answers

The cubic function is f(x) = x^3

You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.

Those transfformations are:

1) Shift f(x) = x^3,  2 units leftward to obtain f(x) = (x + 2)^3

2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3

3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5

Shirley measures the thickness of a piece of cardboard with a ruler that has centimeter and inch markings. Which of the following is most likely the value that Shirley measures?

Answers

Centimeter would most likely use to measure the thickness

3 inches is most likely what she measures because the ruler only has inches and centimeters so inches would be more logical

write the expression in standard form. 3/3-12i

Answers

assuming ya mean [tex]\frac{3}{3-12i}[/tex]
and you want complex form as in a+bi 


remember that [tex]i=\sqrt{-1}[/tex] so [tex]i^2=-1[/tex]
and remember conguates
we don't want imaginary numbers in the denomenator so

first sipmlify the farction
[tex]\frac{1}{1-4i}[/tex]
multiply it by [tex]\frac{1+4i}{1+4i}[/tex]
result is
[tex]\frac{1+4i}{(1)^2-(4i)^2}[/tex]
[tex]\frac{1+4i}{1-16i^2}[/tex]
[tex]\frac{1+4i}{1-16(-1)}[/tex]
[tex]\frac{1+4i}{1+16}[/tex]
[tex]\frac{1+4i}{17}[/tex]
[tex]\frac{1}{17}+\frac{4i}{17}[/tex]

in standard form (a+bi form) [tex]\frac{3}{3-12i}[/tex] is
[tex]\frac{1}{17}+\frac{4}{17}i[/tex]
Final answer:

The expression '3/3 - 12i' simplifies to '1 - 12i' which is already in the standard form for a complex number.

Explanation:

The expression you've mentioned is 3/3-12i. First, we need to simplify it. The term 3/3 equals to 1. So, the expression becomes 1 - 12i. This is already in a standard form for a complex number.Standard form for a complex number is represented as a + bi, where a and b are real numbers and i represents the imaginary unit. Therefore, our expression 1-12i is in standard form of complex numbers, where a=1 (real part) and b=-12 (imaginary part).

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please help for the first two questions! i don't know how to do them.

Answers

check the picture below.

How is interest similar to sales tax in markup

Answers

Sales tax, interest, and markup is a raise in the money of a cost. Hope I helped: )

can u please give me an answer best gets the brainliest

Answers

100 cm = 1 m, so the conversion factor must be either 100 cm/1 m or 1 m/100 cm. Since you want to end up with cm, you need cm in the numerator. Then the m in the denominator will cancel out the given m. The answer is B.

Matt has a block. He uses one of the flat surfaces of the block to trace a triangle. What type of solid figure is Matt's block?

Answers

it will be a square since the surface area is 3-D

The types of 3D objects on which one face is triangular are triangular prism, triangular-based pyramid, and square-based pyramid so Matt's solid figure can be anyone among the three.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given,

Matt used a 3D block to draw a triangle on the paper.

Now in order to draw a triangle there are three types of 3D objects that can be used,

01) Triangular prism,

02) Triangular-based pyramid

03) Square-based pyramid

Hence "The types of 3D objects on which one face is triangular are triangular prism, triangular-based pyramid, and square-based pyramid so Matt's solid figure can be anyone among the three".

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Write a compound inequality to represent all of the numbers between -4 and 6.

Answers

-4 < x < 6

could also be : x > -4 and x < 6

Answer:-4 < x < 6

Step-by-step explanation:

Other Questions
If a microscope has a series of three lenses that magnify individually 5x, 5x, and 7x, what is the total magnification of the microscope A Screamingly Good Science LessonElizabeth KiblerAmusement park rides give us thrills, exhilaration, and delight. If you pay attention, these rides can give you something elsea science lesson. Roller coasters are amazing rides that can twist and veer until you scream; however, these rides can also help to show us how types of energy work.Think about the first part of a roller coaster ride: A machine slowly pulls the cart higher and higher on a hill on the track. As the cart gets higher, it gains potential energy. Objects gain potential energy by being lifted farther from the ground. Potential energy is stored energy. The higher an object is from the ground, the more potential energy it has.When the cart reaches the top of the first hill, not only are riders stomachs screaming for mercy, but also the cart is at its maximum potential energy. Without warning, the energy-loaded cart begins to descend the first hill. As the cart careens down the hill, it has kinetic energy. Kinetic energy is different from potential energy. Kinetic energy is the energy of motion. All objects in motion have this energy. The kinetic energy propels that cart down the hill. Eventually, the cart will fight the forces of gravity and travel up another hill. On this uphill journey, the cart again begins to gain potential energy. The cart switched from potential energy, to kinetic energy, and back again. Therefore, a roller coaster ride is just the converting of kinetic energy and potential energy.After the first collection of potential energy, the cart does not use ropes, pulleys, or an engine. The cart, its wheels, and the laws of science are the only things that keep carts rolling firmly down the track. The air brakes on modern roller coasters bring the cart to a safe and smooth stop. If, however, a roller coaster had no brakes, it would ultimately stop on its own. The friction between the wheels and track and the friction between the cart and the air would eventually make a coaster stop. Think about a super ball. Although it gains potential energy every time it goes up, it eventually stops bouncing. In much the same way, the roller coaster cart would cease to move.Today, amusement park owners continuously try to outdo each other with bigger and better coasters. They believe that the more screaming their patrons do, the better the ride. Although the new rides of the day are going beyond what many thought was possible, it is all a matter of science. So, the next time you find yourself about to plunge down a gigantic roller coaster hill, try to think about the science of the amazing ride. Or, if you cant stomach that much thought, just hold on and enjoy the ride. 10) The author's point of view can BEST be described as that of..A) a bored teacher. B) an unsure guide. C) a nervous novice. D) an enthusiastic fan. I need help with this. 20 points!If f(x) = 5x - 4, then what is the value of f(7)? What energy transformation occurs when a car stereo is turned on? name the property of equality or congruence that justifies going from the first statement to the second statement. ST=QR QR=ST a) reflexive property of congruence b) symmetric property of congruence c) transitive property of congruence d) substitution property of congruence Eli's grandma gives him a tootsie roll every time she visits. when eli sees his grandma arriving, his mouth begins to water. in this example, the unconditioned stimulus (ucs) is _____.a. hungerb. the tootsie rollc. the watering mouthd. grandma The square root of 31 is between what two integers Why did the Anti-Federalists urge for the adding of a Bill of Rights to the United States Constitution?there was already an obligation to do so, but the Federalists were disregarding itthey thought the government needed rules from possible rebellionsthey thought the people's liberties needed protection from the government; increase individual rightsthere was an example set for doing so in Great Britain's Constitution 100 POINTS!!!!!! RULES:HAVE TO ANSWER CORRECTLYHAVE TO ANSWER ALL 16 QUESTIONSPLEASE ONLY ANSWER IF YOU ONLY KNOW THE ANSWER PARTIAL ANSWERS OR INCOMPLETE ANSWERS NOT ACCEPTED WILL BE REPORTEDPOINT STEALERS BEWARE 1)How many moles are there in 24.5 grams of CoF3? 2)How many molecules are there in 150.00 grams of Na2SO4?3)How many moles are there in 2.3 x 1024 atoms of sulfur?4)How many grams are there in 7.40 x 1023 molecules of PH3?5)How many moles are there in 7.5 x 1023 molecules of H2SO4?6)How many molecules are there in 55.5 grams of Cu(ClO3)2?7)How many grams are there in 8.20 x 1025 molecules of water?8)How many molecules are there in 238.05 grams of CO2?9)How many molecules are there in 2.35 grams of NH4F?10)How many grams are there in 1.50 x 1023 molecules of N2H6?11)How many molecules are there in 20.40 grams of SiCl4?12)How many grams are there in 3.50 moles of AlCl3?13)How many moles are there in 4.50 x 1022 molecules of CH4?14)How many molecules are there in 9.34 grams of NO?15)How many grams does 4.00 moles of UF6 weigh?16)How many moles are there in 230.0 grams of NH4OH? Which of these describes an outcome of the assassination of John F. Kennedy? A)The United States Congress passed very strict immigration laws.B)Lyndon Baines Johnson was sworn in as the President of the United States.C)His brother, Robert F. Kennedy became the new President of the United States. D)Lee Harvey Oswald was captured and deported to the Soviet Union to face trial. The red line of the hydrogen emission spectrum has a wavelength of 656.1 nm. Calculate the energy of one photon most mound builders settle along what feature of geography Who suffered when Louis XIV revoked the Edict of Nantes? Some organisms that normally live in pond water contain water pumps. These pumps continually pump water out of the cell. Describe a scenario that might reverse the action of the pump. The directness of the sunlight at a specific latitude will determine the amount of solar energy that latitude receives. please select the best answer from the choices provided t f How did the fact that people began living longer in the colonies affect attitudes toward labor? He portion of the stomach closest to the duodenum is called the ________. the portion of the stomach closest to the duodenum is called the ________. body pyloric region cardiac region fundus HELP PLEASE!!! 30 POINTS!!!!!1Which best explains the importance of creating an outline?A. It lets the reader know where you found your information.B. It grabs the attention of your reader.C. It helps your paper flow from one idea or topic to the next.D. It provides an organizational system for your paper. find the next 3 terms of the following sequence 22 21 18 13 6 The world record for the 24 hour run for women on all surfaces is 255.303 kilometers, set by mami kudo of Japan in 2011. What was her average speed? 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