Under her cell phone plan, Peyton pays a flat cost of $48 per month and $3 per gigabyte. She wants to keep her bill at $60.60 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Peyton can use while staying within her budget.

Answer:

B. 1395 sq. units

Step-by-step explanation:

Since the shape is an octagon, it is also composed of 8 triangles. If you solve the formula for the area of a triangle with those numbers and multiply it by the amount of sides you will have the total area.

Answer:

B. 1395 sq. units

Step-by-step explanation:

A=2(1+\(\sqrt{2}\))a²

A=2(1+\(\sqrt{2}\))17²

A=2(1+\(\sqrt{2}\))289

A≈4.83×289

A≈1395.87

A≈1395 units²

The option that fits this is B. 1395 sq. units

Answer:

B

Step-by-step explanation:

Its obvious

Answer: 5プラスマイナス6はマイナス1です。

Step-by-step explanation:

The ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class is 10:9.

A ratio shows us the number of times a number contains another number.

The complete question is:

The ratio of the number of students in Mr. Moore’s class compared to the number of students in miss Henry’s class is 5:4. The ratio of the number of students in Miss Henry’s class compared to the number of students in Mr. Wilson’s class is 8:9. What is the ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class?

The ratio of the number of students in Mr.Moore's class compared to the number of students in Miss henry's class is 5:4.

Moore/Henry = 5/4

The ratio of the number of students in Miss Henry's class compared to Mr. Wilson's is 8:9.

Henry/Wilson= 8/9

To find the ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class, we need to multiply the two of the given ratios, therefore, we can write the ratios as,

Moore/Henry × Henry/Wilson = 5/4 × 8/9

Moore/Wilson = 10/9

Hence,  the ratio of the number of students in Mr. Moore’s class to Mr. Wilson’s class is 10:9.

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Answer:

First ratio is 5:4. 4 is equal to Henry class

If you multiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

=> 2(5:4)

=> 10:8

=> 8:9

So, the answer is 10:9.

The manufacturer of allay pain reliever offered a free sample of the product to visitors who registered at its website. in this case, the communications objective of the website was to increase awareness of Allay Pain Reliever and generate customer leads.

Communication objectives are the aims and principles that guide how a person or company interacts with customers, staff, or other stakeholders. Workplaces can establish and uphold uniform standards for every contact by adopting communication strategies.

In order to achieve marketing goals with an increase in the rate of purchases or information requests, the communication objectives must first develop a good consumer attitude.

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To create a histogram, we need to divide the range of the data into a set of intervals or "bins" and count the number of data points that fall in each bin. We can then represent this information using a bar chart, where the height of each bar corresponds to the frequency (i.e., number of data points) in that bin.

To determine appropriate bin intervals, we can use the range of the data and the number of bins to create equal-width intervals. For example, we could create 5 bins of width 5:

Bin 1: 2 - 6 Bin 2: 7 - 11 Bin 3: 12 - 16 Bin 4: 17 - 21 Bin 5: 22 - 26

We can then count the number of data points that fall in each bin:

Bin 1: 2 Bin 2: 4 Bin 3: 3 Bin 4: 0 Bin 5: 3

Therefore, the intervals and their corresponding frequencies are:

Interval: 2 - 6 Frequency: 2

Interval: 7 - 11 Frequency: 4

Interval: 12 - 16 Frequency: 3

Interval: 17 - 21 Frequency: 0

Interval: 22 - 26 Frequency: 3

We can then use this information to create a histogram, where the x-axis represents the intervals and the y-axis represents the frequencies, with each bar corresponding to an interval and having a height equal to the frequency in that interval.

Answer:

50

Step-by-step explanation:

cause you just take away the decimals and its alreasy a whole number

Answer:

I like to take out my work (review guide, homework, etc.) and cover my answers with a piece of paper so that only the question is showing and answer the problem. Repeat for as many problems as you'd like. I hope this helps!

Step-by-step explanation:

It will take approximately 11.9 years for a sum to double at a 6% interest rate.

To calculate the time it takes for a sum to double at a given interest rate, we can use the compound interest formula. The formula for future value (FV) of an investment is:

FV =\(PV * (1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial sum)

r is the interest rate per period (in decimal form)

n is the number of periods

In this case, we want to find the time it takes for the sum to double, so FV will be twice the initial sum (2 * PV). The interest rate is 6%, which is equivalent to 0.06, and we want to solve for n.

\(2 * PV = PV * (1 + 0.06)^n\)

Cancelling out the PV on both sides of the equation, we have:

\(2 = (1.06)^n\)

To solve for n, we can take the natural logarithm (ln) of both sides of the equation:

ln(2) = n * ln(1.06)

Dividing both sides of the equation by ln(1.06), we get:

n = ln(2) / ln(1.06)

Using a calculator, the approximate value of n is 11.9.

The compound interest formula is a powerful tool for calculating the future value of an investment. It takes into account the principal amount (PV), the interest rate (r), and the number of periods (n) to determine the final value (FV). By manipulating the formula, we can solve for any of these variables.

In this particular case, we wanted to find the time it takes for a sum to double. By rearranging the formula, we set FV to be twice the initial sum (2 * PV) and solved for n. The resulting equation allowed us to determine the number of periods required for the sum to double at a 6% interest rate.

The natural logarithm (ln) function is used to isolate the variable n. Taking the ln of both sides of the equation allows us to simplify the calculation and solve for n more easily. The approximate value of n, which represents the number of years, is 11.9.

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The radius of the cylinder for maximum volume is r = 10/π

Given data:

To find the radius of the right circular cylinder with maximum volume among all cylinders for which the sum of the height and circumference is 30 centimeters, use optimization techniques.

Let's denote the radius of the cylinder as r (in centimeters) and the height as h (in centimeters). The sum of the height and circumference is given as 30 centimeters:

h + 2πr = 30

From this equation, express the height in terms of the radius:

h = 30 - 2πr

Now, the volume V of a cylinder is given by the formula:

\(V = \pi r^2h\)

Substituting the expression for h:

\(V = \pi r^2(30 - 2 \pi r)\)

Expanding and simplifying:

\(V = 30 \pi r^2 - 2 \pi ^2r^3\)

To find the radius that maximizes the volume, find the critical points by taking the derivative of V with respect to r and setting it equal to zero:

\(\frac{dV}{dr} = 60\pi r - 6\pi^2r^2\)

Setting \(\frac{dV}{dr}\)  equal to zero and solving for r:

\(60\pir - 6\pi^2r^2 = 0\)

Dividing both sides by 6πr:

10 - πr = 0

πr = 10

r = 10/π

Hence, the radius of the right circular cylinder with maximum volume, given the constraint that the sum of the height and circumference is 30 centimeters, is 10/π centimeters.

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The given functions are f(x) and g(x)

1) To find f(g(1)), the first step is to find g(1). To find g(1), we would look for the value of y on the graph of g(x) that corresponds to the value of x = 1. The cvalue is 3

Thus, g(1) = 3

We would find f(g(1)) by looking at the graph of f(x) for the value of y when x = 3. It is 2

Thus,

f(g(1)) = 2

2) Firstly, we would find f(0) from the graph of f(x). It is 4. Then, we would find g(f(0)) from g(x) by finding the value of y when x is 4. Thus,

g(f(0)) = 5

3) firstly, we would find f(4) from the graph of f(x). Thus, f(4) = 0

Next, we would find f(f(4)) by in f(x) by finding the value of y when x = 0. Thus,

f(f(4)) = 4

4) Firstly, we would find g(0) from g(x). g(0) = 2

Next, we would find g(g(0)) by from g(x) by finding the value of y when x is 2. Thus,

g(g(0)) = 0

The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

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Answer:

They are similar

Step-by-step explanation:

the rectangle have the same proportions

the sides of the big one are 4:6 and the small one is 2:3

they both simplify to 2:3 so that means they have the same proportions which means they are similar

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       \(\sqrt{3^{2} } + (-1)^{2}\)

d = | 20 | / \(\sqrt{10}\)

d = 20 / \(\sqrt{10}\)

d = 2\(\sqrt{10}\)

Answer:$6.30

Step-by-step explanation:$1.80 • 3.5 =$6.30

Answer:

5.30

Step-by-step explanation:

I think that's it I'm so sorry if it's not

Answer:

D should be the answer!

The equation G + S + M = 100 represents the number of pounds of glossy, semi-gloss, and matte paper in a 100-pound package. The cost equation is $5.60G + $4.25S + $3.75M = $480. The semi-gloss and matte paper equation is S + M = 0.5(100) or S + M = 50. This equation can be solved using the row-reduction method.

Let G, S, and M represent the number of pounds of glossy, semi-gloss, and matte paper, respectively, in a 100-pound package. The problem's first sentence yields the equation: G + S + M = 100The costs and amounts are given for glossy, semi-gloss, and matte paper. We can use this information to develop two more equations. First, the cost equation is:$5.50G + $4.25S + $3.75M = $480Multiplying both sides by 100 to eliminate decimals gives:550G + 425S + 375M = 48000Finally, we are given that half the package's weight consists of semi-gloss and matte paper. We can translate this statement into another equation: S + M = 0.5(100)or S + M = 50We can then write the system of equations in the matrix form as follows:[1 1 1; 0 1 1; 550 425 375] [G; S; M] = [100; 50; 48000]Using matrix inverse, we have[G; S; M] = [1 1 1; 0 1 1; 550 425 375]^-1[100; 50; 48000]This equation can be solved using the row-reduction method.

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Answer:

\( \frac{ - 8 - \sqrt{288} }{2 \times ( - 2)} = \frac{ - 8 -16.97 }{ - 4} = \frac{ - 24.97}{ - 4} = 6.2425\)

It is a trapezium because there is only one set of parallel opposite edges.

A parallelogram is a quadrilateral with two pairs of parallel edges. In a parallelogram, the opposing edges are of equal length, and the opposing angles are of equal size. Additionally, the internal angles that are supplementary to the transversal on the same side.

The diagonals of a parallelogram must cross one another in order for it to exist. do. As a result, we can conclude that only the third assertion is false, making option (C) Diagonals cut in half opposing lines.

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Answer:

1/4

Step-by-step explanation:

The constant of proportionality is 1/4.

Answer:

b

Step-by-step explanation:

The form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = \(\frac{1}{4}\) x ← is in standard form

with k = \(\frac{1}{4}\)

A power series for the function, centered at 0 is ∫(1 + x + x² + x³ + ...) dx = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + .... The interval of convergence for the power series representation of ln(x + 1) is [-1, 1) in interval notation, which means that the series converges for -1 ≤ x < 1.

To find a power series representation for the function f(x) = ln(x + 1), we'll start by integrating the power series representation of 1/(1 + x), which is the geometric series:

1 + x + x² + x³ + ...

Integrating each term of the series, we obtain:

∫(1 + x + x² + x³ + ...) dx = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + ...

Now, let's determine the interval of convergence for this power series. The original series for 1 + x converges when |x| < 1. When we integrate each term, the interval of convergence may change, so we need to check for convergence of the integrated series.

To determine the new interval of convergence, we'll use the ratio test. Let's denote the new power series as g(x):

g(x) = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + ...

Using the ratio test, we evaluate the limit:

lim(n→∞) |(a_{n+1}) / (a_n)| = lim(n→∞) |((1/(n+2))xⁿ⁺²) / ((1/(n+1))xⁿ⁺¹)| = |x| lim(n→∞) ((n+1)/(n+2))

Taking the limit of the above expression, we find:

lim(n→∞) ((n+1)/(n+2)) = 1

Therefore, the ratio test gives a limit of 1, which means that the radius of convergence of the integrated series is also 1.

Now, we need to check the endpoints of the interval -1 and 1. For x = -1, we have:

g(-1) = -1 + (1/2)(-1)² + (1/3)(-1)³ + (1/4)(-1)⁴ + ...

     = -1 + (1/2) - (1/3) + (1/4) - ...

This is the alternating harmonic series, which converges to ln(2). Hence, the series converges at x = -1.

For x = 1, we have:

g(1) = 1 + (1/2)(1)² + (1/3)(1)³ + (1/4)(1)⁴ + ...

    = 1 + (1/2) + (1/3) + (1/4) + ...

This is the harmonic series, which diverges. Hence, the series does not converge at x = 1.

Therefore, the interval of convergence for the power series representation of ln(x + 1) is [-1, 1) in interval notation, which means that the series converges for -1 ≤ x < 1.

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Answer:

$223.45

Step-by-step explanation:

premium fuel: 4.59 x 545

= 2501.55

regular fuel: 4.18 x 545

=2278.1

2501.55-2278.1 = 223.45

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

The transitive property of equality tells us that if we have two things that are equal to each other and the second thing is equal to a third thing, then the first thing is also equal to the third thing.

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

i got it right on a test

If A and B are sets with A⊆B the a) A ∪B = B, b) A∩B = A.

a) Let A⊆B

Let x ∈ A∪B

Then x ∈ A or x ∈ B .....(i)

By definition of union we have

x ∈ A ⇒ x ∈ B .....(ii)

Using (i) and (ii), if x ∈ A, then x ∈  b. If x ∈ B, then clearly x ∈ B.

Thus given A⊆ B, then A∪B = B.

b) First assume A∩B which implies that x ∈ A and x ∈ B.

Hence we can implies the

A∩ B ⊆ A (we started with the element in A∩B and concluded that it is in A) ------(i)

Now, let x ∈ A which implies x ∈ B ( as A⊆ B)

Hence, x ∈ A∩B, which in turn imply

A ⊆ A∩B -----(ii)

From (i) and (ii) we get

A∩B = A

Therefore if A and B are sets with A⊆B, then A ∩B = B and A∩B = A.

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A flower that can be split vertically through its axis into two equal halves but has unequal halves if split in any other way is said to be bilaterally symmetrical.


1. Bilateral symmetry is a characteristic of many organisms, including flowers.
2. It means that the organism can be divided into two equal halves along a vertical axis.
3. However, if the organism is divided in any other direction, the resulting halves will be unequal.

Therefore, a flower that can be split vertically through its axis into two equal halves but has unequal halves if split in any other way is said to be bilaterally symmetrical. This means that its symmetry is only evident when divided vertically.

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Answer:

$1.35

Step-by-step explanation:

divide $2.80 by 7 ($0.40)then add $0.75 Which equals $1.35

To convert 5/16 inch to millimeters, you need to know the conversion factor between the two units. One inch is equal to approximately 25.4 millimeters.

When measuring length, there are different units of measurement that can be used such as inches and millimeters. Inches (") are commonly used in the imperial system, which is primarily used in the United States, whereas millimeters (mm) are part of the metric system which is widely used in many countries around the world. To convert 5/16 inch to millimeters, you would multiply 5/16 by 25.4.

So, 5/16 inch is roughly equal to 7.9375 mm

It's important to keep in mind that when converting measurements, it's important to be precise and use accurate conversion factors. Additionally, it's also important to consider the level of precision required for the task at hand. In general, inches are mostly used in the US and the UK, while millimeters are primarily used in other countries. It is important to use the right unit of measurement depending on the context of the task or situation. It's also important to note that when converting decimal inches to millimeters, it's important to use a calculator or perform the calculation with a high degree of accuracy, as the conversion factor is not exact.

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Answer: 135 points

Step-by-step explanation: 220 + -85 would be the equation