How can you tell whether multiplying a constant by the parent function will result in a horizontal dilation? Multiple choice question. A) If the constant is grouped with x, the result will be a horizontal dilation. B) If the constant is greater than 1, the result will be a horizontal dilation. C) If the constant is between 0 and 1, the result will be a horizontal dilation. D) If the constant is not grouped with x, the result will be a horizontal dilation. Tools are not currently accessible

The amount you will pay back by the end of the term is; 162.18 dollar.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + r)^{t}\)

Given that you borrow $101 at 7% compounded annually for seven years, then we have;

P = 101 dollar

Rate = 7%

Times = 7 yr

Therefore,

\(a = p(1 + r)^{t}\)

\(a = 101(1 + 0.07)^{7}\\\\a = 101 (1.07)^7\\\\a = $162.18\)

Hence, The amount you will pay back by the end of the term is; 162.18 dollar.

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Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.

To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error

Margin of error = Z × (standard deviation / sqrt(sample size))

where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.

We want the margin of error to be no more than 0.5 drinks, so we can set up the equation

0.5 = 1.96 × (6.3 / sqrt(sample size))

Solving for the sample size, we get

sqrt(sample size) = 1.96 × 6.3 / 0.5

sqrt(sample size) = 24.82

sample size = (24.82)^2

sample size = 617

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Answer:

$27.93

Step-by-step explanation:

First we divided 4 from 15.96 and got 3.99, so now we know that $3.99 is how much each ounce of jellybeans costs so now we multiply 3.99 times 7 to get our answer of 27.93.

Therefore, the difference in the price of 300 cm of ribbon between shop A and shop B is £1.20.

In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are typically represented by letters, and may contain constants and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. An equation can be true or false depending on the values of the variables. Solving an equation means finding the values of the variables that make the equation true.

Here,

To find the difference in price between the two shops, we need to first calculate the cost per centimeter of ribbon for each shop:

Shop A: £1.68 / 140 cm = £0.012 per cm

Shop B: £1.72 / 215 cm = £0.008 per cm

Now, we can calculate the cost of 300 cm of ribbon at each shop:

Shop A: 300 cm x £0.012 per cm = £3.60

Shop B: 300 cm x £0.008 per cm = £2.40

The difference in price between the two shops for 300 cm of ribbon is:

£3.60 - £2.40 = £1.20

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Answer:

She must score an 87 to obtain an average of 75.

Step-by-step explanation:

(66+72+x) / 3 = 75

x = 87

Answer:

The difference in elevation between these two points is 30,384 feet.

Step-by-step explanation:

First, I decided to let the 1,349 below sea level represent a negative number, since, in this context, it's below 0, or sea level.

This gives us the equation 29,035 - (-1,349) = ?

Since we need to find the difference in elevation, we will need to subtract the two values.

29,035 - (1,349) = 30,384

Hope this helps.

The percent increase in the size of the farmer's farm is 108.3%.

To find the percent increase in the size of the farmer's farm, we need to calculate the difference between the new and old farm size and then divide that by the old farm size.

The difference in size is:

100 acres - 48 acres = 52 acres

To find the percent increase, we divide the difference by the old farm size and multiply by 100:

(52 acres / 48 acres) x 100% = 108.3%

So the percent increase in the size of the farmer's farm is 108.3%.

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The doubling time of Rx expenditures is $72$ years.To calculate the doubling time of Rx expenditures, we can use the Rule of 72 formula. The formula for Rule of 72 is given

where the growth rate is given as a percentage. The growth rate can be calculated by dividing the final value by the initial value, subtracting 1, and multiplying by 100. In this case, the final value is $600$ billion, and the initial value is $300$ billion.

Therefore, using the Rule of 72 formula, we get:Therefore, the doubling time of Rx expenditures is $72$ years.

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Answer:

see below

Step-by-step explanation:

The domain is the input values

The domain is the resistance values

D: { 4,6,48,80,120}

The range is the output values

The range is the current values

R : { .1,.15,.25,2,3)

Therefore, the expressions are:
- Annika: 11n
- Celia: 14(n-1)

To find an expression that represents the total number of miles completed by each biker n hours after 7 a.m., we can use the formula Distance = Speed × Time.

For Annika, her average speed is 11 miles per hour. So, the expression representing the total number of miles completed by Annika n hours after 7 a.m. would be 11n.

For Celia, her average speed is 14 miles per hour. Since Celia started biking an hour later than Annika, we need to take into account the time difference. So, the expression representing the total number of miles completed by Celia n hours after 7 a.m. would be 14(n-1).

Therefore, the expressions are:
- Annika: 11n
- Celia: 14(n-1)

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The correct answer is D: A and B ( Accounts receivable and cost goods )

Accounts receivable represents the amount of money owed to a company by its customers for goods or services that have been delivered but not yet paid for. As sales increase, the amount of accounts receivable also tends to increase since more customers will have outstanding balances.

Cost of goods sold (COGS) represents the direct costs associated with producing or purchasing the goods that are sold by a company. It includes the cost of raw materials, labor, and other direct expenses. As sales increase, the COGS also tends to increase since more goods are being produced or purchased for sale.

COGS is directly influenced by the level of sales because it is tied to the inventory turnover. When goods are sold, their associated costs are transferred from the inventory account to the COGS account. As sales increase, more goods are sold, and therefore, more costs are transferred to COGS.

COGS is calculated by subtracting the ending inventory value from the sum of the beginning inventory and the purchases made during a specific period. It is a key component in determining a company's gross profit and gross profit margin, which are important indicators of profitability.

On the other hand, administrative salaries (option c) typically do not vary directly with sales. Administrative salaries are usually fixed expenses that are paid to employees for their administrative roles regardless of the level of sales.

Therefore, the correct answer is option d. A and B, as both accounts receivable and cost of goods sold vary with sales.

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The equation of the line is, y = -3x.

What is point slope form of the line?

A line's point slope form equation is y - y1 = m(x – x1). Consequently,

y - 0 = m(x - 0), or y = mx, is the equation of a line passing through the origin with a slope of m.

Let the line passes through the point (1, -3) and having slope of -3.

Consider, the point slope form of the line,

\(y-y_1=m(x-x_1)\)

Plug, \((x_1, y_1) = (1, -3), m = -3\)

So, the above equation becomes

\(y-(-3)=-3(x-1)\\y+3=-3x+3\\y=-3x+3-3\\y=-3x\)

Hence, the equation of line that passes through the point (1, -3) and having slope -3 is y = -3x.

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Hope I helped.  :)

- Valenteer

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

The answer to the question of how much sugar each person receives has 3 significant figures. The original amount of sugar, 245.6 g, has 4 significant figures. However, when we divide this amount by 6, we are only able to determine the answer to the nearest 0.1 g. Therefore, the answer has 3 significant figures.

The number of significant figures in a measurement is determined by the uncertainty of the measurement. The uncertainty of a measurement is the amount that the measurement could change due to random errors. In this case, the uncertainty of the measurement of the original amount of sugar is 0.1 g. This is because the last digit, 6, is uncertain. It could be 5 or 7, but we cannot know for sure.

When we divide the original amount of sugar by 6, the uncertainty of the measurement is multiplied by 6. This means that the uncertainty of the answer is 0.6 g. Therefore, the answer can only be determined to the nearest 0.1 g. This means that the answer has 3 significant figures.

In other words, we can say that each person receives 41.0 g of sugar, with an uncertainty of up to 0.1 g.

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Answer:

96

Step-by-step explanation:

Given that:

Number 20 has a factor 10.

Factor means when we multiply it with a number we will get 20.

i.e. when we multiply 20 with 2, we will get 40.

and multiple of 20 is 40

Multiple means, when we multiply 20 with a particular number we will get 40 i.e. when we multiply 20 with 2, we are going to get 40.

To find:

Another number such that 8 is a factor and 96 is a multiple.

Solution:

If we take 4, it can not be the answer because its factor is 2, not 8.

If we take 40, it can not be the answer because its factors are 2, 4, 5, 8, 10 but at the same time 96 is not a multiple of 40.

Let consider 32 now.

32 =  8 \(\times\) 4, so 8 is a factor.

Multiples of 32 are 64 and 96.

Therefore, the answer is 96.

The diameter of the lens of a particular telescope is approximately 4 feet.

The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line, then the length of that line will be the circle's circumference.

The circumference of a circle is given by the formula:

C = πd

where C is the circumference, d is the diameter, and π is approximately equal to 3.14.

In this case, we are given that the circumference of the lens is 12.56 feet. So we can plug in the values:

12.56 = 3.14d

To solve for d, we need to isolate it on one side of the equation. We can do this by dividing both sides by 3.14:

d = 12.56/3.14

Simplifying, we get:

d ≈ 4

Therefore, the diameter of the lens is approximately 4 feet

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Answer:

False. Sin is not a linear function. Thus, two smaller sin funstions will not equal a larger.

Step-by-step explanation:

David can best improve his investigation by including a control group. A control group is a group that does not receive any treatment or intervention and is used as a benchmark to compare the results of the experimental group. In this case, the control group would be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well.

In scientific research, it is important to include a control group to ensure that the results of the experimental group are due to the treatment or intervention and not due to other factors. In this case, David is investigating the factors that affect plant growth, and he is manipulating the amount of water and fertilizer that the two elm trees receive. However, there could be other factors that affect plant growth, such as soil quality, sunlight exposure, temperature, and pests. If David only measures the height and trunk girth of the two elm trees that receive water and fertilizer, he cannot be sure if any changes in their growth are due to the treatment or due to other factors.

To improve his investigation, David can plant a third young elm tree near the other two and not give it any water or fertilizer. This third tree will serve as the control group, and David can measure its height and trunk girth every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

David can best improve his investigation by including a control group, which will serve as a benchmark to compare the results of the experimental group. The control group should be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

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Answer:

Step-by-step explanation:

Answer:

Parallel lines 1

perpendicular lines -1

Step-by-step explanation:

2x-2y = -6

Solve for y to get it in slope intercept form

-2y = -2x-6

Divide by -2

y = x+3

This is slope intercept form y = mx+b  where m is the slope

Parallel lines have the same slope

A parallel line would have a slope of 1

Perpendicular lines would have a slope that is a negative reciprocal

-1/1

Perpendicular lines would have a slope of -1

Let us first put it into slope-intercept form ⇒ \(y = mx + b\)

To put it into that format, we need to simply put y on one side of the equation and the rest on the other side

    \(2x - 2y =-6\\-2y = -2x -6\\y = x +3\)

What do we want to find first ⇒ a line parallel to the original line

          \(y = x +5\)

What do we also want to find ⇒ a line perpendicular to the original line

         ⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1

            ⇒ so an example is

                     \(y = -x + 3\)

Answer:

Hope that helps!

Answer:

she took 13 classes that were worth 3 credits

Step-by-step explanation:

well we know that some of the classes are worth 3 and some are worth 4 and that all of these together = 59 so your first equation would be

3x+4y=59

x  would be the number of classes worth 3 credits and y would be the number of classes worth 4 credits.

then it says the total number of classes that they took was 18 so we know that

x + y =18.

you want to solve for the number of 3 credit classes so lets go ahead and get rid of the y values. SO you need you multiply the x+y equation by 4

4x+4y=72

then subtract 4x+4y=72  from 3x+4y=59 to get

-x = -13

and then x is a negative so you need to divide -1 from both sides and you get that she took 13 classes that were worth 3 credits.

Answer:

this is my answer

a< -12

hope it helps

The change in volume is -88π

The volume is nothing but the amount of space occupied by a three-dimensional figure as measured in cubic units.

Volume Change is defined as the variation in the existing volume of the service type which is provided by the Supplier under the Agreement

The radius is decreasing at 2 inches per minute

The height is given as decreasing at 4 inches per minute

So let \(\frac{dr}{dt}=-2\) and

\(\frac{dh}{dt}=-4\)

and we have radius r=6,

                     height h=5

The volume of the cone is represented by V as V=\(\frac{1}{3}\pi r^{2}h\)

Then

\(\frac{dv}{dt}=\frac{\pi }{3}[r^{2}\frac{dh}{dt} +h*2r\frac{dr}{dt}]\)

\(=\frac{\pi }{3}[6^{2}(-4)+5*2(6)(-2)]\)

\(=\frac{\pi }{3}[36(-4)+5(12)(-2)]\\ =\frac{\pi }{3}[-144+(-120)]\\ =\frac{-264}{3}\pi \\ =-88\pi\)

So the volume change is \(-88\pi\)

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The conversion of  730 km into miles is 456.70 miles so Maria drives 456.70 miles.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Distance = 730 kilometers.

Since given that,

1 mile =1.609 kilometers

So,

1 kilometer = 1/1.609 miles

So,

730 kilometers = 730 × 1/1.609 miles

⇒ 456.70 miles

Hence "The conversion of  730 km into miles is 456.70 miles so Maria drives 456.70 miles".

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The Fermi energy will be at the edge of the second band at zero temperature.

(a) Band structure is the diagrammatic representation of the dispersion of energies of the electronic states in the crystal as a function of the momentum, and their relative occupancies, under an applied electric field. It determines whether a solid is a metal, an insulator, or a semiconductor. For this reason, it is frequently used to examine the optical and electronic properties of a solid in condensed matter physics. The periodicity of the lattice is represented by the Brillouin zone. Using what we learned in class, sketch the band structure in the First Brillouin Zone (FBZ) for A1=10meV, A2=20meV, and A3=30meV, including at least the first three lowest bands, being sure to label the magnitude of the energy gaps as well as their positions in reciprocal space.

Below is the image of the first three energy bands in the FBZ for A1 = 10meV, A2=20meV, and A3=30meV.

(b) The location of the Fermi energy is determined by the electron concentration in the crystal. Fermi energy is the energy level at which the probability of occupying the state is one-half at 0 Kelvin.

Therefore, the Fermi energy is related to the valence and conduction band energies and the concentration of electrons. If the crystal has two electrons for each lattice site, the Fermi energy at zero temperature will be midway between the conduction and valence band edge. The Fermi energy level will be in the gap between the first and second bands, at the halfway point between the conduction band edge and the valence band edge. On the other hand, if the crystal has three electrons per lattice site, the Fermi energy will be at the edge of the second band at zero temperature.

(c) In a 1D crystal with a lattice spacing a=5 nm, U(x) is a periodic crystal potential that has the following form:

U(x)=A1sin(2πx/a)+A2sin(4πx/a)+A3sin(2πx/a)cos(2πx/a).

We are now told that A2 can be externally tuned. To create just one energy gap in the electronic band structure, A2 must be equal to zero. The energy gap would be centered at (π/a,0), where the band minimum for the second band is located.

If there are four electrons per lattice, the Fermi energy level will be in the second band, and the value of the Fermi energy level can be computed using the graph from part a.

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543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Answer:

J = 4B + 441/  7

Step-by-step explanation:

Answer: It is a rational number

Step-by-step explanation:

any number that can be written in the form of fraction is rational number (or as   the a decimal that has a end or repeating decimal are rational number)

7.8=39/5

Hope this helps!! :)

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