Avaluate 2^3x-1 for x=1

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10

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

−2 /2/1 −(−4 3/5)

Express properly

So, we have the following representation

-2 1/2 - (-4 3/5)

Remove the brackets

This gives

-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5

Express the denominator as 10

So, we have

-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10

Evaluate the difference

-2 1/2 - (-4 3/5) = 2 1/10

Hence, the solution is 2 1/10

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Answer:

B ON E2020

Step-by-step explanation:

b.

Net income considers operating expenses while gross profit does not

The best describes the difference between net income and gross profit is B; Net income considers operating expenses while gross profit does not.

Gross profit is the profit a firm makes after deducting the costs of manufacturing and selling its products or providing its services from the revenue the company made.

The equation that correctly describes the gross profit will be;

gross profit = (net sales) - (cost of goods sold)

Therefore, the correct option is B

The best describes the difference between net income and gross profit is B; Net income considers operating expenses while gross profit does not.

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The graph of the equation is shown below

From the question, we are to graph the given equation

The given equation is

-3 = 5x - y

To graph the equation,

First we will determine the x-intercept and y-intercept

x-intercept

Put y = 0 in the equation

-3 = 5x - 0

-3 = 5x

x = -3/5

y-intercept

Put x = 0 in the equation

-3 = 5(0) - y

-3 = 0 - y

-3 = -y

y = 3

Using the x-intercepts and y-intercepts, we can plot the graph of the equation.

The graph of the equation is shown below

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Answer:

214 cubic feet (rounded to the nearest cubic foot)

Step-by-step explanation:

Step 1  Determine the volume of 1 box

Volume of a box or rectangular prism = dimensions multiplied by each other

Here, the given dimensions are 11 in by 8 in by 12 in

So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches

Step 2 Determine volume of all 350 boxes

Volume of 1 box = 1056

So volume of all 350 boxes = 1056 x 350 = 369600 cubic in

Step 3 Convert cubic in to cubic ft

To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)

369600 / 1728 = 214 cubic feet (to the nearest cubic foot)

214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in

Answer:

1/2

Step-by-step explanation:

2/4 is equal to 1/2, because if you divide 4 by 2 you get 2, and if you divide 2 by 2 you get one.

Basically, the simplification process would look something like this...

2/4 ÷ 2/2 = 1/2

Answer:

1. Y

2. YX , YZ

3. X

4. XZ

We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.

The Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:

1. f(t, y) is continuous in the region.

2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.

then there exists a unique solution to the differential equation that passes through any point in the region.

In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:

f(t, y) = (y cot(2t)) / (t² + y² + 1)

This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.

To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:

∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²

Taking the absolute value and simplifying, we get:

|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|

= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|

Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:

1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1

Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.

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Answer:

a = 62.5

b = 40

c =62.5

d = 70

Step-by-step explanation:

\( {x}^{3} + ( \frac{1}{a} )y = xy + 9\)

\(x {}^{3} + \frac{y}{ay} = xy + 9\)

\(x {}^{3 } = xy + 9 - \frac{y}{ay} \)

\( {x}^{3} - 9 = xy - \frac{y}{ay} \)

\( {x}^{3} - 9 = y(x - \frac{1}{a} )\)

Divide both sides by x-1/a

\( \frac{x {}^{3} - 9}{x - \frac{1}{a} } = y\)

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

Answer:

H0 : μ = 2

H1 : μ > 2

We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.

Step-by-step explanation:

Given :

X = 23.71,17.79,29.87,18.78,28.76

Sample mean, xbar = Σx / n = 22/10 = 2.2

Standard deviation, s = 0.516 (calculator)

H0 : μ = 2

H1 : μ > 2

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

n = 10

Test statistic :

(2.2 - 2) ÷ (0.516/sqrt(10))

0.2 / 0.1631735

Test statistic = 1.23

Using the Pvalue from Tscore calculator, df = n - 1 = 10 - 1 = 9

Pvalue(1.23, 9) = 0.1249

Since, Pvalue > α ; We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

The area of triangle DEF is four times larger than the area of triangle ABC.

We have,

Right triangle ABC was dilated with a scale factor of 2.

When a triangle is dilated with a scale factor of 2, the resulting triangle is enlarged by a factor of 2 in each dimension.

Since area is a two-dimensional measure, it will be enlarged by a factor of the square of the scale factor.

In this case, the scale factor is 2, so the area of triangle DEF will be

=  2²

= 4 times larger than the area of triangle ABC.

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Answer:

Answer: meee

Step-by-step explanation: Hunterx.Hunter, Jujutsu Kai.sen, T.okyo Reveng.ers, De.ath Note, Noble.sse, and some more others l.ol

Answer:

I think it's maybe  -4

Step-by-step explanation:

Answer: The correct answer is 4988.

Step-by-step explanation: 4007+981 = 4988 Add the one to the eight then add the 8 to the tens place and add the 9 to the hundreds place.

THIS IS THE CORRECT ANSWER.

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

\(\frac{24}{7}\) or \(3\frac{3}{7}\)

Step-by-step explanation:

\(\frac{4}{5}\div \frac{7}{30}\)

Step 1: Apply the fraction rule: \(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

\(=\frac{4}{5}\times \frac{30}{7}\)

Step 2: Cross-cancel common factor: 5

\(=\frac{4}{1}\times \frac{6}{7}\)

Step 3: Multiply fractions: \(\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

\(=\frac{4\times \:6}{1\times \:7}\)

Step 4: Multiply the numbers: \(4\times \:6=24\)

\(=\frac{24}{1\times \:7}\)

Step 5: Multiply the numbers: \(1\times \:7=7\)

\(=\frac{24}{7}\)

Therefore, the answer is \(\frac{24}{7}\) or in the simplified form; \(3\frac{3}{7}\)

A triangle is a three-edged polygon with three vertices. The measure of ∠C is 18°.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Let the measure of ∠C be represented by x. Given the measure of ∠A= 2(∠B), while the measure of ∠B=3(∠C). Therefore, the measure of angles can be written as,

∠A = 2(∠B) = 2[3(∠C)] = 6x

∠B = 3x

∠C = x

Now, since the sum of all the angles of a triangle is 180°. Therefore,

∠A + ∠B + ∠C = 180°

6x + 3x + x = 180°

10x = 180°

x = 18°

Hence, the measure of ∠C is 18°.

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Answer:

The equation of direct variation relates two variables that vary proportionally to each other, and can be written as y = kx, where k is the constant of proportionality. To find k, we can plug in the values of x and y given in the problem and solve for k:

y = kx

14 = k(11)

k = 14/11

Now that we know k, we can write the equation of direct variation as:

y = (14/11)x

Therefore, when x = 11 and y = 14, the equation of direct variation is y = (14/11)(11) = 14.

The composite function (g - f)(2) when evaluated is 3

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

f(x) = (x + 3)/(x² + 2x - 3)

Also, we have

g(x) = x + 2

The composite function (g - f)(2) is calculated as

(g - f)(2) = g(2) - f(2)

Where, we  have

g(2) = 2 + 2 = 4

Also, we have

f(2) = (2 + 3)/(2² + 2(2) - 3) = 1

So, we have

(g - f)(2) = 4 - 1

Evaluate

(g - f)(2) = 3

hence, the composite function (g - f)(2) when evaluated is 3

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Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

The height of the dolphin after t seconds is given by:

\(h(t) = -16t^2 + 96t - 128\)

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which \(h(t) = 0\) it crosses the surface upwards, and then the second time for which \(h(t) = 0\) it crosses the surface downwards.

We have to find these roots. So

\(h(t) = -16t^2 + 96t - 128\)

\(-16t^2 + 96t - 128 = 0\)

Multiplying by -16

\(t^2 - 6t + 8 = 0\)

\(\Delta = (-6)^{2} - 4*1*8 = 36 - 32 = 4\)

\(t_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4\)

\(t_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2\)

4 - 2 = 2

The dolphin will be above the surface of the water for 2 seconds.

Answer:

1. The Mapping diagram does NOT represent a function. Since a function can give only one output for any input but we can see that we have 2 possible outputs for 7

2. There is one number

3. Set A: The Input

4. are multiple mappings

5. Set B: The Output

After transformation, the point (-1,2) in the image would be (-1,-2)

Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.

First, we must mirror the point (-1, 2) around the line y=-x.

(X, Y) is the rule (-y,-x)

you obtain (-1,2)—>(-2,1) (-2,1)

At this point, you must rotate (-2,1) by 90 degrees.

(X, Y) is the rule ( -y,x)

so (-2,1)—> (-1,-2) (-1,-2)

After transformation, the point (-1,2) in the image would be (-1,-2)

The complete question is,

What is the image point of (-1,2) after the transformation R 90° ry=-x

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Answer:

x the (x) value of the ordered pair, it is proportional.

Step-by-step explanation:

Answer:

Number of 8th Graders = 360 - X  

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from 8th grade.

As we know:

Total number of students on the A honor roll = 360

We are asked to calculate, number of students from 8th grade on the A honor  roll.

So, let's assume that "X" represents all the students who are on the A honor roll except 8th grade.

Mathematical Expression:

Number of 8th Graders = Total number of students on the A honor roll - X

Number of 8th Graders = 360 - X

So, if you know the value of X, you can easily calculate the number of students which are from 8th grade on the A honor roll.

I am not sure if it is wrong I am sorrry.