a wireless network predicts that sales will increase 110% this upcoming year. if the sales are projected to be $16000 in the future, what are they in the past?

A 1600
B 7619
C 14400
D 14545
SHOW WORK ​

Answer:

32 Paintings

Step-by-step explanation:

8 Bottles 4 per one bottle so 8x4 =32

Hoped this helped.

Answer:

I can't help if I can't see the question

Answer:

\(\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Differential Equations

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]:                                                             \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

U-Substitution

Logarithmic Integration

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y' = \frac{xy}{2 + x^2}\)

\(\displaystyle y(0) = 2\)

Step 2: Rewrite

Separation of Variables

Step 3: Find General Solution Pt. 1

Integration

Step 4: Identify Variables

Identify variables for u-substitution for 2nd integral.

u = 2 + x²

du = 2xdx

Step 5: Find General Solution Pt. 2

Our general solution is  \(\displaystyle |y| = Ce^{\frac{1}{2} ln|2 + x^2|}\).

Step 6: Find Particular Solution

∴ Our particular solution is  \(\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}\).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differential Equations

Book: College Calculus 10e

When two continental plates collide along a convergent plate boundary from a mountain because both plates share the same mass and thickness.

Due to the weight and thickness of the two continental plates being equal during the collision, no plate will sink into the other, which causes mountain development.

Rocks are pushed up to a mountain range as a result of their collision, as opposed to crumpling and folding. A taller mountain will be produced as plate tectonics continue.

The level of collision affects the notion of plate tectonics; continuing collision results in a higher mountain.

Consequently, a mountain is the result of a tectonic plate collision along a convergent border.

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The triangle presented in the image has 2 axes of symmetry because it is only possible to divide it 2 times.

The axes of symmetry are a concept of geometry that are classified into two groups:

According to the above, it can be inferred that the rectangle presented in the image has only two axes of symmetry.

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Answer: the verified answer is wrong

Step-by-step explanation:

it's not a triangle is a rectangle but it still has 2 axes tho

Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.

A cone, also known as a vertex, is a three-dimensional polygonal object with a flat base and a soft tapering apex. In a plane with no vertices, a cone is formed by connecting a story arc of lines, half-lines, but rather routes those are common to all focuses on the outpost. A cone is a muti structure with just a peaceful transition from a flat, round or, base towards the vertex and apex, which represents as the base's axis. A three-dimensional polygonal shape with only an upwardly flat curved surface is known as a cone.

Because Cone A has a volume of 48bold pi cubic units, we can use the volume of a cone formula to calculate its height:

Cone volume = 1/3 * base area * height

1/3 * pi * 62 * 4 = 48bold pi

48pi = 48bold pi

As a result, Cone A's height is 4 units. The radius is also 6 units, as we can see.

Cone volume = 1/3 * base area * height

\(1/3 * pi * r2 * h = 48\\144 = r^2 * h\\144 = 8^2 * 3\\144 = 192\)

Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.

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Answer:

minimum value of z is 0

Step-by-step explanation:

if x and y both equal zero, then the value of z is zero, which is your answer.

Since lim a n/b n does not exist, it means that the ratio between a n and b n can be larger or smaller depending on the terms.

This implies that the rate of growth of a n and b n are not necessarily the same. If the series b n diverges, it means that the terms of b n increase without bound. Therefore, the terms of a n will also increase without bound, and sum a n will also diverge.

Formally, if lim a n/b n = ∞, then ∑ a n is divergent. We can prove this by contradiction. Suppose ∑ a n converges. Then by the comparison test, lim a n/b n must converge and be finite, which is a contradiction. Therefore, ∑ a n must diverge.

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the equation of the line that passes through the points (2, 4) and (6, 2) is y = - 0.5x + 6.

The standard equation of a straight line is -

Ax + By + C = 0

Given is to find the equation of the line that passes through the points (2, 4) and (6, 2).

We can write the slope as -

{m} = (2 - 4)/(6 - 2)

{m} = -2/4

{m} = -1/2

{m} = -0.5

The slope - intercept form would become -

y = - 0.5x + c

For the point (2, 4), we can write the {y} - intercept as -

4 = - 0.5 x 2 + c

c = 6

Therefore, the equation of the line that passes through the points (2, 4) and (6, 2) is y = - 0.5x + 6.

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Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

Answer:

31

Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

Answer: 3 to 8

Step-by-step explanation:

Since there are 8 red marbles and 3 blue marbles, the ratio of blue marbles to red marbles would be 3 to 8 or 3:8.

Hope this helped!! Have a great day :)

Rewriting the point-slope equation of the line, the equation of the line that is parallel to the given line is: y = 1/5x + 12/5.

The point-slope equation is given as y - b = m(x - a), where m is the slope (change in y/change in x), and (a, b) is a point.

Find the slope of the line that passes through, (-5, -4) and (0, -3):

Slope = change in y/change in x = (-3 -(-4)) / (0 -(-5)) = 1/5

Slopeof parallel lines are equal, teherfore, the slope of the line that passes through (-2, 2) would be 1/5.

Substitite (a, b) = (-2, 2) and m = 1/5 into y - b = m(x - a):

y - 2 = 1/5(x -(-2)

y - 2 = 1/5(x + 2)

Rewroite in slope-inetrcept form

y - 2 = 1/5x + 2/5

y = 1/5x + 2/5 + 2

y = 1/5x + 12/5

Therefore, rewriting the point-slope equation of the line, the equation of the line that is parallel to the given line is: y = 1/5x + 12/5.

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Answer:

A'(0,4)

Step-by-step explanation:

You would just add 1 to the x and subtract 3 form the y and you would get A prime or A'(0,4) so that would be your answer

A(-1,7)--> (-1+1,7-3)

(0,4)

a. The probability of exactly 17 out of 20 high school students graduating is approximately 0.170 or 17%.

b. The probability of 16 or fewer high school students graduating is approximately 0.026 or 2.6%.

c. The probability of at least 17 high school students graduating in a sample of 20 is approximately 0.974 or 97.4%.

a. To calculate the probability that 17 out of 20 high school students will graduate, we can use the binomial probability formula. In this case, the probability of success (p) is 0.75 (graduation rate) and the number of trials (n) is 20 (sample size).

Using the formula, the probability can be calculated as:

P(X = 17) = C(20, 17) * (0.75)^17 * (1 - 0.75)^(20 - 17)

where C(20, 17) represents the number of combinations of choosing 17 out of 20 students.

Calculating this expression gives us:

P(X = 17) = 0.170

Therefore, the probability that exactly 17 out of 20 high school students will graduate is approximately 0.170 or 17%.

b. To calculate the probability that 16 or fewer students will graduate, we need to calculate the cumulative probability up to 16 students. We can sum the probabilities of each individual case from 0 to 16.

P(X ≤ 16) = P(X = 0) + P(X = 1) + ... + P(X = 16)

Using the binomial probability formula, we can calculate each term and sum them up:

P(X ≤ 16) = ∑ [C(20, k) * (0.75)^k * (1 - 0.75)^(20 - k)] for k = 0 to 16

Calculating this expression gives us:

P(X ≤ 16) = 0.026

Therefore, the probability that 16 or fewer high school students will graduate is approximately 0.026 or 2.6%.

c. To calculate the probability that at least 17 students will graduate, we need to calculate the complementary probability of having 16 or fewer students graduate.

P(X ≥ 17) = 1 - P(X ≤ 16)

Using the previously calculated value for P(X ≤ 16), we can substitute it into the equation:

P(X ≥ 17) = 1 - 0.026

P(X ≥ 17) = 0.974

Therefore, the probability that at least 17 high school students will graduate in a sample of 20 is approximately 0.974 or 97.4%.

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Note the complete question is

A certain state has the highest high school graduation rate of all states at 75​%. a. In a random sample of 20 high school students from the​ state, what is the probability that 17 will​graduate? b. In a random sample of 20 high school students from the​ state, what is the probability than 16 or fewer will​graduate? c. What is the probability that at least 17 high school students in our sample of 20 will​ graduate?

Answer:

1/2

Step-by-step explanation:

The Rational Root Theorem says that any rational root has

1. a numerator that is a factor of the constant term

2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)

Numerator:  \(\pm 1\)

Denominator: \(\pm 2\)

That means there are only two possible rational roots: \(\pm \frac{1}{2}\)

Try them both by plugging them into the polynomial.

\(2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0\)

Aha!  The negative one-half value does not produce 0

Answer:

933 seats

Step-by-step explanation:

Given that :

4 different group of seats are in a movie theater :

The middle group ; 2 side groups and the back group

Number of seats in the movie theater :

THE MIDDLE GROUP:

21 Rows and 21 seats per row

Number of seats = 21 * 21 = 441 seats

THE SIDE GROUPS:

21 rows and 7 seats per row

Number of seats = 2(21 * 7) = 294 seats

BACK GROUP:

6 rows and 33 seats per row

Number of seats = 6 * 33 = 198 seats

Total number of seats :

441 + 294 + 198 = 933 seats

The aluminum parallel-flow plate-and-fin evaporator has several key advantages over the standard round copper tube plate-and-fin evaporator are Lighter Weight, Improved Heat Transfer Efficiency.

An evaporator is a device used in air conditioning and refrigeration systems to remove heat from the refrigerant, which helps to cool down the air. There are two main types of evaporators: the aluminum parallel-flow plate-and-fin evaporator and the standard round copper tube plate-and-fin evaporator.

The parallel-flow design of the aluminum evaporator provides a larger surface area for heat transfer, which results in more efficient cooling. This means that less energy is required to achieve the same cooling effect.

Reduced Pressure Drop: The parallel-flow design also reduces the pressure drop in the refrigerant, which can improve the overall efficiency of the air conditioning or refrigeration system.

Aluminum is lighter than copper, which makes the aluminum evaporator easier to handle and install. This can be especially important in large air conditioning or refrigeration systems where weight and handling can be a significant concern.

Increased Durability: Aluminum is a more durable material than copper, which means that the aluminum evaporator is less likely to suffer from corrosion or other types of damage over time.

Better Resistance to Leakage: The parallel-flow design of the aluminum evaporator provides a tighter seal, which reduces the risk of refrigerant leakage. This helps to maintain the efficiency of the air conditioning or refrigeration system.

Lower Maintenance Costs: The increased durability and better resistance to leakage of the aluminum evaporator can help to lower maintenance costs over time.

Improved Environmental Performance: The improved efficiency and reduced pressure drop of the aluminum evaporator can help to lower the energy consumption of the air conditioning or refrigeration system. This can result in a reduction in greenhouse gas emissions and other environmental impacts.

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Answer:

surface area =(p+q)/2×h

(8m+3m)/2×6m

11/2×6

5.5m×6m

33m^2

Answer:

60.2 grams is remaining after 7 minutes.

Step-by-step explanation:

Exponential equation for amount of substance:

The exponential equation for the amount of a substance is given by:

\(A(t) = A(0)(1-r)^t\)

In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.

An element with mass 510 grams decays by 26.3% per minute.

This means that \(A(0) = 510, r = 0.263\)

So

\(A(t) = A(0)(1-r)^t\)

\(A(t) = 510(1-0.263)^t\)

\(A(t) = 510(0.737)^t\)

How much of the element is remaining after 7 minutes?

This is A(7). So

\(A(7) = 510(0.737)^7 = 60.2\)

60.2 grams is remaining after 7 minutes.

Answer:

4.5

Step-by-step explanation:

Well, she runs  3 miles in  28  minutes.  

42 = 28 ⋅ 1.5  

So, her journey would just be running  

1.5

times, with each time running  

28

minutes.

So, she runs a total of  

1.5 ⋅ 3 = 4.5 miles

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

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Answer:

2y^(10)

Step-by-step explanation:

Answer:

y^13

Step-by-step explanation:

Answer:

(1,1.5)

Step-by-step explanation:

x = 1

y = 1.5

Answer:

The probability of Sam is 2/5

Step-by-step explanation:

n(e)=2

n(s)=5

Pe=n(e)/n(s)

Pe=2=5

Answer:

3 times at 3

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

We are given the following functions:

\(g(x) = x^2 + 4 + 2x\)

\(h(x) = -3x + 2\)

(g•h) (1)

The multiplication is:

\((g \times h)(1) = g(1) \times h(1)\)

So

\(g(x) = 1^2 + 4 + 2(1) = 7\)

\(h(1) = -3(1) + 2 = -3 + 2 = -1\)

Then

\(g(1) \times h(1) = 7(-1) = -7\)

So -7 is the answer.