Expand.
Your answer should be a polynomial in standard form.
(b^2 + 4b + 4 )(-b+3)=

Answer:

srry can't help with out the picture, but I would think that if it wasn't the for sure amount that it wouldn't work

The p-value from the appropriate t-test illustrated is 0.1802.

The p-value simply means the measure of the probability that an observed difference will have occured due to chance.

In this case, from the complete question, the p-value from the test from the table illustrated is 0.1802. The lower the p-value, the higher the statistical significance.

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255-10

245 skaisusjxl ksusus

Answer:

f'(x) = 4

Step-by-step explanation:

The calculated scale factor from ABC to A'B'C is 1/3

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

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

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please mark me as brainlist..

Answer:

dog

Step-by-step explanation:

The traveler must walk 17 blocks to reach the State Building.

The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.

She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.

Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.

Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.

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Answer:

Here's an interesting project idea for mathematics that can relate three different topics:

Topic 1: Fractals

Topic 2: Chaos Theory

Topic 3: Differential Equations

Research Question: Can fractals be used to model chaotic systems described by differential equations?

In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.

Your research paper can cover the following areas:

Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.

Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.

Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.

Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.

Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.

Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.

Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.

Step-by-step explanation:

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

The mean of the data is increases by 2.9°. The correct option is C.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that the data is,

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

The mean of the data is calculated as:-

Mean = ( 58+ 61+  71+  77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 ) / 12

Mean = 965 / 12

Mean = 80.41

The mean of the data when one more data is 42.5 is added,

Mean  = ( 58+ 61+  71+  77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 42.5 ) / 13

Mean = 1007.5 / 13

Mean = 77.5

The difference between the mean will be,

Difference = 80.41 - 77.5

Difference = 2.91

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To calculate the total percent markdown when using the three discounts in series, we can multiply the discounts and subtract the result from 100%.

Starting with the largest discount of 55%, we can multiply the discounts in series as follows:

55% x 35% x 15% = 2.29625%

So, the total percent markdown when using the discounts in series would be approximately 2.3%, rounded to the nearest whole percent.

Therefore, using the discounts in series would result in a total markdown of about 2%.

Answer:

the y intercept is -4 and the slope is 1

Step-by-step explanation:

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

Answer:

CB= 35

Step-by-step explanation:

1. The given equation is probably supposed to read

y'' - 2y' - 3y = 64x exp(-x)

First consider the homogeneous equation,

y'' - 2y' - 3y = 0

which has characteristic equation

r² - 2r - 3 = (r - 3) (r + 1) = 0

with roots r = 3 and r = -1. Then the characteristic solution is

\(y = C_1 e^{3x} + C_2 e^{-x}\)

and we let y₁ = exp(3x) and y₂ = exp(-x), our fundamental solutions.

Now we use variation of parameters, which gives a particular solution of the form

\(y_p = u_1y_1 + u_2y_2\)

where

\(\displaystyle u_1 = -\int \frac{64xe^{-x}y_2}{W(y_1,y_2)} \, dx\)

\(\displaystyle u_2 = \int \frac{64xe^{-x}y_1}{W(y_1,y_2)} \, dx\)

and W(y₁, y₂) is the Wronskian determinant of the two fundamental solutions. This is

\(W(y_1,y_2) = \begin{vmatrix}e^{3x} & e^{-x} \\ (e^{3x})' & (e^{-x})'\end{vmatrix} = \begin{vmatrix}e^{3x} & e^{-x} \\ 3e^{3x} & -e^{-x}\end{vmatrix} = -e^{2x} - 3e^{2x} = -4e^{2x}\)

Then we find

\(\displaystyle u_1 = -\int \frac{64xe^{-x} \cdot e^{-x}}{-4e^{2x}} \, dx = 16 \int xe^{-4x} \, dx = -(4x + 1) e^{-4x}\)

\(\displaystyle u_2 = \int \frac{64xe^{-x} \cdot e^{3x}}{-4e^{2x}} \, dx = -16 \int x \, dx = -8x^2\)

so it follows that the particular solution is

\(y_p = -(4x+1)e^{-4x} \cdot e^{3x} - 8x^2\cdot e^{-x} = -(8x^2+4x+1)e^{-x}\)

and so the general solution is

\(\boxed{y(x) = C_1 e^{3x} + C_2e^{-x} - (8x^2+4x+1) e^{-x}}\)

2. I'll again assume there's typo in the equation, and that it should read

y''' - 6y'' + 11y' - 6y = 2x exp(-x)

Again, we consider the homogeneous equation,

y''' - 6y'' + 11y' - 6y = 0

and observe that the characteristic polynomial,

r³ - 6r² + 11r - 6

has coefficients that sum to 1 - 6 + 11 - 6 = 0, which immediately tells us that r = 1 is a root. Polynomial division and subsequent factoring yields

r³ - 6r² + 11r - 6 = (r - 1) (r² - 5r + 6) = (r - 1) (r - 2) (r - 3)

and from this we see the characteristic solution is

\(y_c = C_1 e^x + C_2 e^{2x} + C_3 e^{3x}\)

For the particular solution, I'll use undetermined coefficients. We look for a solution of the form

\(y_p = (ax+b)e^{-x}\)

whose first three derivatives are

\({y_p}' = ae^{-x} - (ax+b)e^{-x} = (-ax+a-b)e^{-x}\)

\({y_p}'' = -ae^{-x} - (-ax+a-b)e^{-x} = (ax-2a+b)e^{-x}\)

\({y_p}''' = ae^{-x} - (ax-2a+b)e^{-x} = (-ax+3a-b)e^{-x}\)

Substituting these into the equation gives

\((-ax+3a-b)e^{-x} - 6(ax-2a+b)e^{-x} + 11(-ax+a-b)e^{-x} - 6(ax+b)e^{-x} = 2xe^{-x}\)

\((-ax+3a-b) - 6(ax-2a+b) + 11(-ax+a-b) - 6(ax+b) = 2x\)

\(-24ax+26a-24b = 2x\)

It follows that -24a = 2 and 26a - 24b = 0, so that a = -1/12 = -12/144 and b = -13/144, so the particular solution is

\(y_p = -\dfrac{12x+13}{144}e^{-x}\)

and the general solution is

\(\boxed{y = C_1 e^x + C_2 e^{2x} + C_3 e^{3x} - \dfrac{12x+13}{144} e^{-x}}\)

Answer:

x = - 4

Step-by-step explanation:

f(x) = \(\frac{2x^2-8}{x+4}\)

the denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ( subtract 4 from both sides )

x = - 4 ← excluded value

2x² - 8 = 2(- 4)² - 8 = 32 - 8 = 24 ← non zero numerator

then x = - 4 is the vertical asymptote of f(x)

Answer:

What is it

Step-by-step explanation:

I also need it

Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm

Given are the circles and the circular items we need to find their circumference,

Circumference of a circle = 2π × radius = Diameter × π

4. a) Circumference = 5 × 3.14 = 15.7 cm

b) Circumference = 8.36 × 3.14 = 26.25 m

5. a) Circumference = 41 × 3.14 = 128.74 cm

b) Circumference = 13 × 3.14 = 40.82 mm

c) Circumference = 14.3 × 3.14 = 45 cm

6.

The perimeter of the cloth = circumference of the circular ends plus length in the middle,

= 76 × 2 × 3.14 + 150 × 2

= 477.28 + 300

= 777.28 cm

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Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

Answer:

The answer is "ski slope from left to right".

Step-by-step explanation:

It has been shown by the jeweler's value in the standardized residuals, it is clear that a linear relation is not fulfilled between mass and market price.

And you know that a normality test would be violated if a curve exists upon on remainder of a story. Because the constant variance will not be received. That violated the static hypothesis.

There B, C, D, E does have the consistent variance as seen in the figure following the linear hypothesis of equal variances however the curvature is shown by a residual plot that has not fulfilled requirements, but the direct correlation between mass and current value is not fulfilled.

∫f(x)dx=43x3−3x2+7x+Cf(x)=4x2−6x+7∫f(x)dx=∫(4x2−6x+7)dx=4⋅∫x2dx−6⋅∫xdx+7⋅∫1dx=4x33−6x22+7x11+C=43x3−3x2+7x+C

Answer: To find the derivative of the function h(x), we can use the quotient rule, which states that if f(x) = u(x) / v(x), then f'(x) = [v(x)u'(x) - u(x)v'(x)] / [v(x)]^2.

Using this rule, we can find the derivative of h(x) as follows:

h(x) = (x + 2) / (x - 2)

h'(x) = [(x - 2)(1) - (x + 2)(1)] / (x - 2)^2 // apply the quotient rule and differentiate numerator and denominator

h'(x) = (-2 - 2x) / (x - 2)^2

Therefore, the derivative of h(x) is h'(x) = (-2 - 2x) / (x - 2)^2.

Step-by-step explanation:

the two possible values for the third side of the triangle are 22.5 and 24.00.

We know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, the third side must be greater than 10.25 and less than 19.75.

From this, we can conclude that the third side of the triangle must be either 22.5 or 24.00.

We know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Given that two sides of the triangle measure 19.75 and 10.25, the third side must be greater than 10.25 and less than 19.75. Therefore, the only two possible lengths for the third side of the triangle are 22.5 and 24.00. Any length greater than 19.75 or less than 10.25 would not satisfy the triangle inequality and would not be a valid third side for the triangle. Thus, We know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

the two possible values for the third side of the triangle are 22.5 and 24.00.

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They can assemble 6.25 tamales per minute is the true statement about the graph

Isabella and her aunts assemble tamales to sell at her uncle's restaurant.

The graph shows the linear relationship between the number of minutes they have been working and the number of tamales they have assembled.

Let us find the slope of the graph

Slope = 100-25/12-0

=75/12

=6.25

Hence, they can assemble 6.25 tamales per minute is the true statement about the graph

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Answer:

Answer:

x=4

Step-by-step explanation:6x+8x=2x

5+3=8 (when you move a number to the other side of an equals sign, it changes its value)

2x=8

2x/2 and 8/2

x=4

The related function for –6x + 8x – 5 = 3 is;

x = 4

We are given the equation;

–6x + 8x – 5 = 3

Let us simplify the numbers that have the variable x first. Thus;

–6x + 8x – 5 = 3 gives;

8x - 6x - 5 = 3

>> 2x - 5 = 3

Use addition property of equality to add 5 to both sides;

2x - 5 + 5 = 3 + 5

>> 2x = 8

Use division property of equality to divide both sides by 2 to get;

x = 8/2

Thus;

x = 4

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Answer:

340.4 in³

Step-by-step explanation:

volume= (½× 8 × 6.9 × 10) + (⅓×½×8×6.9×7)

= 276 + 64.4 = 340.4 in³

Since Stephanie carries a 100/300/100 liability policy, Stephanie's insurance can cover up to $100,000, therefore Stephanie have enough coverage to cover the property damages.

Property damage is any harm or destruction to real or tangible personal property that is brought on by carelessness, intentional obliteration, or a natural disaster.

A more serious form of property damage known as destruction of property involves physical harm to items that are either beyond repair or would be very expensive to replace.

We see that Stephanie has an insurance policy and because she has a 100/300/100 liability policy, she can cover for the damage because it is less than $100,000

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