Gumballs are five cents a piece how many can Sarah buy with $3.75?

Answer:

Two things we need to remember:

Speed of light = c = 299,792,458 m / s

This means that the light in one second covers a distance of 299,792,458 m

And for a circle of radius R, the is:

C = 2*pi*R

where:

pi = 3.14

Then if the radius of the earth is 6,378.1 km, then the of the earth is:

C = 2*(3.14)*6,378.1 km = 40,054.468 km

And we know that 1 km = 1000m

Then the circumference of the earth is:

C = (40,054.468*1000) m = 40,054,468 m

Now we need to see how many times the light can encircle the earth per second. (we assume that the light can move in a circular path, this is not really accurate to the reality)

We know that in one second the light can cover a distance of:  299,792,458 m

And the circumference of the earth is: 40,054,468 m

The quotient between these two distances is the number of times that the light can encircle the earth:

N = (299,792,458 m)/(40,054,468 m)  = 7.5

So light could encircle the earth 7.5 times per second.

Answer:

so meh answer is

Step-by-step explanation:

Answer:

$2.20

Step-by-step explanation:

The tip is 10% of $22, or 0.1 * 22 = 2.2

So $2.20 (we can add a hidden 0 on the end)

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

47

Step-by-step explanation:

The slope for this equation is m=47.

The sample space of this probability experiment is all the multiples of 4 between 20 and 40 inclusive, which are 20, 24, 28, 32, 36, and 40. Therefore, there are 6 outcomes in the sample space.

To identify the sample space of the probability experiment and determine the number of outcomes in the sample space when randomly choosing a number from the multiples of 4 between 20 and 40 inclusive, follow these steps:

1. Identify the range: The range includes numbers between 20 and 40 inclusive.
2. Determine the multiples of 4 in the given range: 20, 24, 28, 32, 36, and 40 are the multiples of 4 within the range.
3. Define the sample space: The sample space (S) is the set of all possible outcomes, so S = {20, 24, 28, 32, 36, 40}.
4. Count the number of outcomes: There are 6 outcomes in the sample space (20, 24, 28, 32, 36, and 40).

So, the sample space of the probability experiment is {20, 24, 28, 32, 36, 40} and the number of outcomes in the sample space is 6.

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The area to the right of the z-score 1.40 and to the left of the z-score 1.58 under the standard normal curve is :

0.0237.

We have to calculate the area to the right of the z-score 1.40 and to the left of the z-score 1.58 under the standard normal curve.

Using the z-table, the value of the cumulative area for a z-score of 1.40 is 0.9192 and the value for a z-score of 1.58 is 0.9429. Now, we can find the area that we are interested in by taking the difference between these two values:

0.9429 - 0.9192 = 0.0237

Therefore, the area to the right of the z-score 1.40 and to the left of the z-score 1.58 under the standard normal curve is 0.0237.

Thus, out of the given options, the correct option is :

0.0237.

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The difference between the compound interest and simple interest for 7 years is $3,944.72 or approximately $3,944.73.

We have to calculate the difference between the compound interest and simple interest for 7 years. The principal amount is $3,000, and the interest rate is 9%. The formula for simple interest can be represented as,

I = Prt

where I is the simple interest, P is the principal amount, r is the rate of interest, and t is the time taken.

The interest for one year using simple interest will be,

I = Prt = $3,000 × 0.09 × 1 = $270

So, the interest for 7 years using simple interest will be $270 × 7 = $1,890.

The formula for compound interest can be represented as,

A = P(1 + r/n)^nt

where A is the amount, P is the principal amount, r is the rate of interest, t is the time taken, and n is the number of compounding periods.

The interest for 7 years using compound interest will be,

A = $3,000(1 + 0.09/1)^(1 × 7) = $5,834.72

The interest Lori will receive in the 7th year with compound interest can be calculated as follows:

Amount for 6 years = $3,000(1 + 0.09/1)^(1 × 6) = $5,178.38

Amount for 7 years = $3,000(1 + 0.09/1)^(1 × 7) = $5,834.72

Interest for 7th year with compound interest = $5,834.72 - $5,178.38 = $656.34

The interest for 7 years using simple interest is $1,890.

The interest for 7 years using compound interest is $656.34 + interest for the first 6 years.

Interest for 6 years using compound interest,

A = $3,000(1 + 0.09/1)^(1 × 6) = $5,178.38

The total interest for 7 years using compound interest is $5,178.38 + $656.34 = $5,834.72.

The difference between the compound interest and simple interest for 7 years is $5,834.72 - $1,890 = $3,944.72, which is the answer.

However, it is not one of the options. So, we need to round it off to the nearest cent.

The difference rounded to the nearest cent is $3,944.73 - $3,944.72 = $0.01

Hence, the difference between the compound interest and simple interest for 7 years is $3,944.72 or approximately $3,944.73.

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Answer:

x < 2

Step-by-step explanation:

57x - 32 < 72

57x < 104

x < 2

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer:

-40%

Step-by-step explanation:

NV = new value

OV = old value

percent change = (NV - OV)/(OV) × 100%

percent change = (30 - 50)/(50) × 100%

percent change = -20/50 × 100%

percent change = -40%

The exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

Let's consider that three charges are placed in a straight line along the z-axis, and the charges are +Q on z=+D, -Q on z=-D, and -2Q at z=0.

To find the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole, let's proceed with the following steps:

To find the electrostatic potential at a point P in the x-axis, we need to consider that the distance from the charges that are on the axis is r, and the distance from the charges that are on the axis and are at +D and -D is d.

The distance from the charges on the axis and at 0 is x. Now we can write,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D].

Now, we can substitute the values in the above expression and obtain,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D] .

Now, we need to use symmetry to argue that we can switch from x to r, which is given by r2 = x2 + y2.

Thus, the exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

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Answer:

36

Step-by-step explanation:

To answer this question, we need to first understand the notation (f · x)(-2). This is a composite function, and another way to write this is f(g(-2)). This means that we have to find g(-2) and apply the function f to whatever this value is. Let's start by finding g(-2):

\(g(x)=x-2\\g(-2)=-2-2\\g(-2)=-4\)

Now that we know g(-2) is -4, we can apply this to f:

\(f(x)=x^2-4x+4\\f(-4)=(-4)^2-4(-4)+4\\f(-4)=16-(-16)+4\\f(-4)=16+16+4\\f(-4)=36\)

Therefore, our answer is 36

During assignment, the result of the calculation on the right side of an equals sign is assigned to a variable on the left of the equals sign. Where as, equality is a logical test that evaluates whether two values are equivalent.

In the given question, the first option is correct among the four.

An assignment operator assigns the result of the calculation on the right side of an equals sign to a variable on the left of the equals sign. It is indicated by ' = '.

Example: s = 4 + years, then the operator assigns the value of the sum of 4 and years to the variable s.

On the other hand, equality is a logical test that evaluates whether two values are equivalent or not. It is indicated by ' == '. The results obtained by this operator is either true or false.

Example: If f == s, it checks whether the value stored in f equals the value stored in s. If they are equal it returns output as true else false.

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Answer:

135

Step-by-step explanation:

the triangle is 90-45-45

the square is 90-90-90-90

where the two meet just add 45 + 90

135

Answer: To find out how many steps are left for Rohan to complete the race, we can calculate the remaining distance in meters and then divide it by the distance covered per step.

Rohan covered 347 meters before falling, so the remaining distance to complete is:

560 meters - 347 meters = 213 meters

Since each step covers 0.5 meters, we can calculate the number of steps left:

213 meters / 0.5 meters per step = 426 steps

Therefore, Rohan has 426 steps left to complete the race.

Answer: 84 2/3

Step-by-step explanation:

x-66 2/3=18

x=18 + 66 2/3

x=18 + 66 + 2/3

x=84 + 2/3

x=84 2/3

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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The addition and subtraction of polynomials: 2x^2+1x+1.

What is a Polynomial?

A polynomial is a mathematical equation made up of more than two algebraic terms, particularly the accumulation of numerous terms with various powers of a single variable.

How to add and subtract polynomials using algebraic tiles?

Example 1: Simplify math with algebraic tiles:

\((6x^2 + 3x - 2) - (4x^2 + 2x - 1)\)

Algebraic tiles are used to model the specified polynomials.

Here, two polynomials are subtracted.

So,

\(2x^2 + 1x + 1 = (6x^2 + 3x - 2) - (4x^2 + 2x - 1)\\\\= 2x^2 + 1x + 1\)

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cartesian coordinate system. This system plots points on a graph based on their x-values and y-values. The x-values represent the horizontal axis and the y-values represent the vertical axis, with the origin (0,0) in the middle of the graph.

The points can then be plotted and connected to form lines, shapes, and other geometric figures.

1. A ordered pair of real numbers is a set of two numbers that have been arranged in a specific order.

2. This ordered pair can be represented in a plane called the rectangular coordinate system or the cartesian coordinate system.

3. In this system, points on a graph are plotted based on their x-values and y-values.

4. The x-values represent the horizontal axis and the y-values represent the vertical axis, with the origin (0,0) in the middle of the graph.

5. The points can then be plotted and connected to form lines, shapes, and other geometric figures.

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To find f'(x), we have to use the product rule of differentiation as given:Let u = 0.6x + 7 and v = 0.8x - 8 Now, f(x) = u v ⇒ f'(x) = u' v + u v' Using the above, f'(x) is computed as follows:f(x) = (0.6x + 7)(0.8x - 8)f'(x) = (0.6)(0.8x - 8) + (0.6x + 7)(0.8)f'(x) = 0.48x - 4.8 + 0.48x + 5.6f'(x) = 0.96x + 0.8 Therefore, the correct option is D.

For finding f'(x), we have to use the product rule of differentiation, which states that if f(x) = u v, then f'(x) = u' v + u v' Here, u = 0.6x + 7 and v = 0.8x - 8Thus,f(x) = (0.6x + 7)(0.8x - 8) = 0.48x^2 - 3.2x - 56 Now, let's apply the product rule to find f'(x).f'(x) = u' v + u v' where u' = d(u)/dx = 0.6 and v' = d(v)/dx = 0.8f'(x) = u' v + u v' = (0.6)(0.8x - 8) + (0.6x + 7)(0.8)f'(x) = 0.48x - 4.8 + 0.48x + 5.6f'(x) = 0.96x + 0.8 Therefore, the correct option is D.

Therefore, the correct application of the product rule to find f'(x) is given by D, which is (0.6x+7)(0.8) + (0.8x-8)(0.6). Thus, the answer for f'(x) is 0.96x + 0.8.

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Answer: Stratified Sampling

Step-by-step explanation: Stratified Sampling involves creating subdivisions of the population such that each subdivisions is seen as a subgroup or smaller chunk of the population which is split based on certain criteria or attribute. The stratified random sampling may be employed in delineating certain characteristics or to investigate further how a feature or characteristics vary between one subdivision to the other.

In the scenario above, the researcher made use of the stratified sampling by performing a random sampling selection of its subjects based on the different subdivisions of students available in the college

Each bracelet price is $4 if Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The equation is in the word:

With the commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50.

Let x be the cost of each bracelet:

Total earning = 16.50 + 7.50

Total earning = 24

Each bracelet price x = 24/6 = $4

Thus, each bracelet price is $4 if Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets.

The question is incomplete.

The complete question is:

Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets. After paying the website a commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50. How much does each bracelet sell for on the website? Explain the steps you followed to get your answer.

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To the nearest ten dollars, there would be approximately $81,329 in the account after 11 years.

To calculate the future value of an investment with compound interest, we can use the formula:

FV = P(1 + r/n)^(nt)

Where:

FV = Future value

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Number of years

In this case:

P = $60,000

r = 3.4% = 0.034 (as a decimal)

n = 365 (daily compounding)

t = 11 years

Plugging in these values, we can calculate the future value (FV):

FV = $60,000 * (1 + 0.034/365)^(365*11)

Calculating this expression, we find:

FV ≈ $60,000 * (1.000093835)^40015 ≈ $81,329.20

Therefore, to the nearest ten dollars, there would be approximately $81,329 in the account after 11 years.

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Answer:

g(x) = (x-12)^2

Step-by-step explanation:

f(x) = x^2

Shifting to theright is of the form

f (x – b) shifts the function b units to the right.

g(x) = (x-12)^2

The length of an arc between two consecutive spokes is 5π/8 in.

The length of an arc L = rФ where

So, L = rФ

L = r × 2π/n

L = 2πr/n

Substituting the values of the variables into the equation, we have

L = 2πr/n

L = 2π × 2.5 in/8

L = 5π/8 in

So, the length of an arc between two consecutive spokes is 5π/8 in.

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The probability that three out of seven workers drive to work alone is 35.

To find the probability that three out of seven workers drive to work alone, we need to use the combination formula, which is:
nCr = n! / r!(n-r)!
Where n is the total number of workers and r is the number of workers who drive to work alone.
Using this formula, we get:
7C3 = 7! / 3!(7-3)!

= 35
This means there are 35 different ways to choose three workers who drive to work alone out of a total of seven workers.
The probability of choosing three workers who drive to work alone out of seven workers can be calculated using the formula:
P = number of ways to choose three workers who drive to work alone / total number of possible outcomes
The total number of possible outcomes is the number of ways to choose seven workers out of a total of seven workers, which is:
7C7 = 1
Therefore, the probability of choosing three workers who drive to work alone out of seven workers is:
P = 35/1

= 35
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Answer: on a paper

Step-by-step explanation: my brain