What is the awnser


5+5 =?

Answer:

4x^3

Step-by-step explanation:

20 x^5 + 28 x^4 + 12x^3

4*5*x^5  + 4*7*x^4 + 4*3*x^3

Factor out 4x^3

4x^3 ( 5x^2 + 7x +3)

Answer:

\(-12a^{4} + 3a^{3} + 20a^{2} -5a\)

Step-by-step explanation:

\((5a-3a^{3} )\) • \((4a-1)\)

Let's use FOIL (first, outer, inner, last) to solve this. We'll multiply the terms by one another in that fashion.

\(20a^{2} - 5a - 12a^{4} + 3a^{3}\)

Rearrange in decreasing exponents.

\(-12a^{4} + 3a^{3} + 20a^{2} -5a\)

The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.

Given ,

Lance is drawing a triangle. He draws one side that is 8 inches long and another side Se that is 5 inches long.

The third side of the triangle can be any length that satisfies the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, in Lance's triangle, if the first side is 8 inches long and the second side is 5 inches long, then the third side must be less than 8 + 5 = 13 inches.

So, the possible options for the third side are:

6 inches

7 inches

9 inches

10 inches

11 inches

12 inches

13 inches or longer.

Therefore, The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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The sum of the central angles is 360 degrees. If the ratios are 1:2:3:4:5:6:7:8:9, the sum of the ratios is 45. The central angle of the largest piece is 360 degrees / 45 = 8 degrees.

A round pizza cut into 9 sectors has its central angles in the ratio of 1:2:3:4:5:6:7:8:9. This means that the central angle of each sector is proportional to the ratio assigned to it. The sum of the central angles of all the sectors is 360 degrees, which represents a complete circle. The sum of the ratios is 45, which indicates that the central angle of each sector can be calculated by dividing 360 by 45. The central angle of the largest sector, which has a ratio of 9, is 360 divided by 45, which equals 8 degrees. In conclusion, the central angle of the largest sector of the pizza is 8 degrees.

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Answer:

B. 39°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Step-by-step explanation:

Step 1: Identify

Angle θ = y

Opposite Leg = 8

Adjacent Leg = 10

Step 2: Solve for y

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Using exponential function concepts, it is found that f(x) increases faster than g(x) on the interval of 0 < x < 1.

An exponential function is modeled by:

\(y = ab^x\)

In which:

In the interval of 0 < x < 1, a lower value of b leads to a greater change, while for x > 1, a higher value of b leads to greater change.

In this problem, the functions are:

\(f(x) = 2^x\)

\(g(x) = \left(\frac{8}{3}\right)^x\)

Hence:

\(b_f = 2\(

\(b_g = \frac{8}{3}\)

Since \(b_g > b_f\), f(x) increases faster than g(x) on the interval of 0 < x < 1.

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Answer:

Step-by-step explanation:

Discount = 45 - 38.20 = $ 6.80

Discount % = \(\frac{Disscount}{Original price}*100\)

                   =  \(\frac{6.80}{45}*100\)

                   = 15.11 %

Percentage of savings = 15.11%

The circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

The circumference and area of a circle of radius 4.2 cm can be calculated using the following formulas:

Circumference = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14.

Area = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14.

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Given the radius of the circle as 4.2 cm, the circumference of the circle can be found by using the formula for the circumference of a circle. The circumference of a circle is the distance around the circle and is given by the formula C = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the circumference of the circle is calculated as follows:

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Similarly, the area of the circle can be found by using the formula for the area of a circle. The area of a circle is given by the formula A = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the area of the circle is calculated as follows:

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Therefore, the circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

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The number of feet Jacob has traveled since he started walking toward Elizabeth is 2.5t .

Let the distance between Jacob and Elizabeth is 210 feet

Distance = speed x time

Jacob is walking at the constant speed of 2.5 feet per second

and Elizabeth is walking at a constant speed of 4.5 feet per second

Let the distance traveled by jacob be x and distance traveled by Elizabeth be (210 - x)

Let t be time passed when they both started walking towards each other

So the time taken by Jacob to cover x amount of distance is t

so by formula Distance = speed x time

x = 2.5 x t

So number of feet jacob has traveled since he started walking toward elizabeth is 2.5t.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

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Answer:

no because the decimal doesn't have a % sign its 147.5

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

From the given premises, the following conclusions can be drawn:

(AvB)

~(~BVC)

(AB) v (Av~B)

((CvD) v~C)

~(E = ~F)

(BVC)

~ (A~B)

(CD (ADC))

~(CV(AVC))

~(AvC)

From premise 1, using De Morgan's law, we can conclude (AvB).

From premise 2, applying De Morgan's law, we get ~(~BVC).

By simplifying the expression in premise 3, we obtain (AB) v (Av~B).

By simplifying the expression in premise 4, we get ((CvD) v~C).

From premise 5, we can conclude ~(E = ~F).

From premise 6, we obtain (BVC).

Using double negation, we can conclude ~ (A~B) from premise 7.

From premise 8, applying Commutation, we get (CD (ADC)).

From premise 9, we have ~(CV(AVC)).

By simplifying the expression in premise 10, we obtain ~(AvC).

The conclusions are derived from the given premises using logical rules such as De Morgan's law, double negation, Commutation, and simplification. These rules allow us to manipulate the expressions and derive logical conclusions based on the given information.

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Answer:

Your answer is 7 children on each team

Step-by-step explanation:

The question clearly states "divided," so divide 56 by 8.

The question is asking you how many kids are on each team.

If I didn't understand the question properly, let me know. :) good luck!

Answer:

switched signs around

Step-by-step explanation:

I believe that s/he switched the signs around so

|x|>5 is solved by x<-5 and x>5

but I'm not quite sure, sorry

Answer:

k f78iiujyhtgrf

Step-by-step explanation:

Answer: 3. 28-21x

Step-by-step explanation: distribute the 7 to both 4 and -3x

7 x 4= 28

7 x -3x = -21x

28-21x

Hope this helps (^_^)

Answer:

28 - 21x

Step-by-step explanation:

7(4 - 3x)

7×4 = 28

7× -3x = -21x

Hello!

10 seconds to return to the ground.

7 seconds to reach 576 feet above the ground.

Find the amount of time taken to reach the ground by setting the equation equal to 0:

0 = -16t² + 80t + 800

Factor out -16 from the equation:

0 = -16(t² - 5t - 50)

Factor the terms inside of the parenthesis:

0 = -16(t - 10)(t + 5)

Find the zeros:

t - 10 = 0

t = 10

t + 5 = 0

t = -5

Time can only be positive in this instance, so the correct answer is 10 sec.

Find the time by substituting in 576 for the height:

576 = -16t² + 80t + 800

Subtract 800 from both sides:

-224 = -16t² + 80t

Rearrange:

0 = -16t² + 80t + 224

Simplify:

0 = -16(t² - 5t - 14)

0 = -16(t - 7)(t + 2)

t = 7 seconds.

Answer:

The probability of choosing a marble with stripes, P(stripes), would be 0.2. The complement of choosing a marble with no design, P'(no design), would also be 0.2.

Step-by-step explanation:

1. The probability of choosing a marble with stripes, P(stripes), would depend on the proportion of marbles with stripes in the overall population of marbles available to choose from.

2. If, for example, there are 20 marbles with stripes and 80 marbles without stripes in a set of 100 total marbles, the probability of choosing a marble with stripes would be 20/100, or 0.2.

3. The complement of choosing a marble with no design, P'(no design), would be the probability of choosing a marble with stripes, or P(stripes).

4. This is because the complement of an event is the probability of the event not occurring.

5. So, if the probability of choosing a marble with stripes is 0.2, the probability of not choosing a marble with stripes (i.e. choosing a marble with no design) would also be 0.2.

a) A population is the number of children in gymnastic class = 5.

b) The parameter is the mean number of steps taken by the 5 children.

c) Parameters on the other hand are statistical metrics, values, or calculations derived from the population figure or information. Here, the mean value of steps obtained from the step counts of the population data is called the parameter.

The descriptive measurements of a whole population are called parameters. However, because it is impossible to measure a population as a whole, its values are typically unknown. As a result, you can acquire parameter estimates by selecting a random sample from the population.

The whole number or collection of comparable objects or persons connected to a certain study or research could be referred to as the population.

In the case above, a specific gymnastics class is the focus, hence the population is made up of all people or kids who participate in this particular gymnastics class.

On the other hand, statistical measures, values, or calculations that are produced from population data are known as parameters.

Here, the mean value of steps obtained from the step counts of the population data is called the parameter.

A parameter is a value that describes a characteristic of an entire population, such as the population means.

The population means and standard deviation are two common parameters.

Hence, Population = the number of children in gymnastic class = 5.

Parameter = a mean number of steps taken by the 5 children.

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a) The probability distribution are P(S₂ = -2) = 1/9, P(S₂ = -1) = 2/9, P(S₂ = 0) = 1/9, P(S₂ = 1) = 2/9, P(S₂ = 2) = 2/9, P(S₂ = 3) = 2/9, P(S₂ = 4) = 1/9

b) The probability that the particle's position S90,000 is less than or equal to 29,500 is approximately 0.0571.

In this problem, we are given a particle's initial position S₀ = 0, and its position Sₙ after n time intervals, where the position is a sum of n independent and identically distributed random displacements X₁, X₂, ..., Xₙ. Each displacement Xᵢ can take on one of three values: -1, 0, or 2, with equal probability 1/3 for each.

(a) To find the probability distribution of S₂ = X₁ + X₂, we can enumerate all possible values of S₂ and compute their probabilities. The possible values of S₂ are -2, -1, 0, 1, 2, 3, 4, and their respective probabilities are:

P(S₂ = -2) = P(X₁ = -1, X₂ = -1) = (1/3)² = 1/9

P(S₂ = -1) = P(X₁ = -1, X₂ = 0) + P(X₁ = 0, X₂ = -1) = 2(1/3)² = 2/9

P(S₂ = 0) = P(X₁ = 0, X₂ = 0) = (1/3)² = 1/9

P(S₂ = 1) = P(X₁ = 2, X₂ = -1) + P(X₁ = -1, X₂ = 2) = 2(1/3)² = 2/9

P(S₂ = 2) = P(X₁ = 2, X₂ = 0) + P(X₁ = 0, X₂ = 2) = 2(1/3)² = 2/9

P(S₂ = 3) = P(X₁ = 2, X₂ = 1) + P(X₁ = 1, X₂ = 2) = 2(1/3)² = 2/9

P(S₂ = 4) = P(X₁ = 2, X₂ = 2) = (1/3)² = 1/9

(b) To compute P(S90,000 ≤ 29,500), we can use the Central Limit Theorem (CLT) to approximate the distribution of S90,000. The CLT states that the sum of a large number of independent and identically distributed random variables tends to follow a normal distribution, regardless of the underlying distribution of the individual variables. For n large enough, we have:

S90,000 ≈ N(μ, σ²), where μ = nE(X) and σ² = nVar(X)

Here, n = 90,000, E(X) = (-1 + 0 + 2)/3 = 1/3, and Var(X) = [(2-1/3)² + (-1-1/3)² + (0-1/3)²]/3 = 10/9. Therefore, we have:

μ = 90,000(1/3) = 30,000

σ² = 90,000(10/9) ≈ 100,000

Now, we can standardize the variable Z = (S90,000 - μ)/σ and use a standard normal table or calculator to find the probability:

P(S90,000 ≤ 29,500) = P(Z ≤ (29,500 - 30,000)/√100,000) ≈ P(Z ≤ -1.58) ≈ 0.0571 (rounded to four decimal places)

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To translate a horizontal graph, you need to adjust the x-axis. This can be done by shifting the graph to the left or right. Additionally, you can stretch or shrink the graph by adjusting the scale of the x-axis.

A horizontal graph is a type of graph that is used to represent data in a two-dimensional space. To translate a horizontal graph, you must adjust the x-axis. This can be done by shifting the graph to the left or right. Additionally, you can stretch or shrink the graph by adjusting the scale of the x-axis. This can be done by changing the number of points on the x-axis, or by making the intervals between points larger or smaller. When translating a graph, it is important to make sure that the y-axis remains unchanged as this will ensure that the data is accurately represented. Translating a horizontal graph is a useful way to compare and analyze data. It allows you to see how changes in one variable affect the other variables in the data set. It is also an essential skill for data analysis and is used in many different fields, such as finance and economics.

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Answer:

It's -15 than normal

Answer:

x < \(\frac{10}{13}\)

Step-by-step explanation:

hope this helps :)

The answer is g = 21

just multiply the fraction.

3 × 7 is 21.

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

(3a +4)²

have a nice day!

Answer:

253.48

Step-by-step explanation:

Hello this is answer