Divide: (-4x³ +35x+25)+(-2x-5)

A. -2x²-5x+5

B. 2x² - 5x-5

C. -2x² +5x-5

D. 2x² +5x+5

9514 1404 393

Answer:

  3380 miles

Step-by-step explanation:

The distance separating the planes can be found using the law of cosines. One plane has gone 3×700 = 2100 miles; the other has gone 3×895 = 2685 miles. The angle between their flight paths is 46°+43° = 89°. Then the separation (s) is ...

  s² = 2100² +2685² -2(2100)(2685)cos(89°) = 11,619,225 -11,277,000×0.01745

  s² ≈ 11,422,414.21

  s ≈ √11,422,414.21 ≈ 3379.7

The planes are separated by about 3380 miles after 3 hours.

Answer:

We know that the sum of all the interior angles of a triangle is always equal to 180°.

And we know that the angles are in a ratio of:

2:5:5

So if we have an angle (unknown) θ, the angles of this triangle will be written as:

2*θ

5*θ

5*θ

Now remember that the sum of the 3 angles is equal to 180°, this leads to:

2*θ + 5*θ + 5*θ = 180°

Now we can solve this for θ

(2 + 5 + 5)*θ = 180°

12*θ = 180°

θ = 180°/12 = 15°

This means that the angles of this triangle are:

2*θ = 2*15° = 30°

5*θ = 5*15° = 75°

5*θ = 5*15° = 75°

Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.

Then this is an isosceles triangle.

The inequality represents this situation will be |t – 68| ≤ 4. Then the correct option is B.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The target temperature for a laboratory is 68° Fahrenheit.

It can vary by up to 4º.

If t is the temperature in the laboratory.

Then the inequality will be

68 + 4 ≤ t ≤ 68 – 4

Subtract 68, then we have

4 ≤ t – 68 ≤ – 4

|t – 68| ≤ 4

Then the correct option is B.

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Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.

Here,

Given :

Standard deviation is 12.59, with a mean of 54.11

X=48

employing the z-formula

=> z = x -u / α

Values are replaced to produce

=> z = 48 -54.11/12.59

the z value is

z= - 0.4853

As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

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The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."

Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. This is done by setting up a double integral in terms of r and θ, and integrating first with respect to r and then with respect to θ.

Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. The steps to double integrate a function in polar coordinates are as follows:

1. Determine the limits of integration for r and θ. These limits define the region over which the function will be integrated. Typically, the limits are determined by the boundaries of the region in the xy plane.

2. Write the function to be integrated in terms of r and θ. The function must be expressed in polar coordinates for integration in polar coordinates.

3. Set up the double integral by writing the function in polar coordinates, multiplying by the appropriate factors of r and integrating with respect to r first and then θ.

4. Integrate the function with respect to r, using the limits of integration for r determined in step 1.

5. Integrate the result from step 4 with respect to θ, using the limits of integration for θ determined in step 1.

The general form of a double integral in polar coordinates is:

∫∫f(r, θ)r dr dθ

where f(r, θ) is the function to be integrated, and r and θ are the polar coordinates.

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The function f'(2) is  32 / 7 and f(-5) = -445.

To find f'(2) for the equation 3^4 + f(x) + x^2(f(x))^2 = 0, we need to differentiate both sides of the equation with respect to x. Since we are evaluating f'(2), we are finding the derivative at x = 2.

Differentiating the equation:

d/dx [3^4 + f(x) + x^2(f(x))^2] = d/dx [0]

0 + f'(x) + 2x(f(x))^2 + x^2(2f(x)f'(x)) = 0

Since we are looking for f'(2), we can substitute x = 2 into the equation:

0 + f'(2) + 2(2)(f(2))^2 + (2)^2(2f(2)f'(2)) = 0

Simplifying the equation using the given information f(2) = -2:

f'(2) + 8(-2)^2 + 4(-2)(f'(2)) = 0

f'(2) + 8(4) - 8(f'(2)) = 0

f'(2) - 8f'(2) + 32 = 0

-7f'(2) + 32 = 0

-7f'(2) = -32

f'(2) = -32 / -7

f'(2) = 32 / 7

Therefore, f'(2) = 32 / 7.

For the second part of the question, we are given the equation 2g(x) + 7x sin(g(x)) = 28x^2 + 67x + 40 and g(-5) = 0. We need to find f(-5).

Since we are given g(-5) = 0, we can substitute x = -5 into the equation:

2g(-5) + 7(-5)sin(g(-5)) = 28(-5)^2 + 67(-5) + 40

0 + (-35)sin(0) = 28(25) - 67(5) + 40

0 + 0 = 700 - 335 + 40

0 = 405 + 40

0 = 445

Therefore, f(-5) = -445.

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Based on the information given in the problem, if you consider deposits as positive numbers and extractions as negative ones, you have the following expressions:

- Bill took $9.50

- 9.50

- Larry deposited twice the amount Bill took:

2*(9.50) = +19.00

- Chris deposited four times as much as Larry did:

4*(19.00) = +76.00

- Melinda took half the amount that Chris deposited:

- 1/2 * (76.00) = - 38.00

- Eddie took 9.50 less than Melinda:

- ( 38.00 - 9.50) = - (28.50) = -28.50

Then, by considering the signs of the different amounts of money you obtain:

-9.50 + 19.00 + 76.00 - 38.00 - 28.50 = 19.00

Hence, you can conclude that the amount of money in the safe increases by $19.00

The expressions that are differences of perfect cubes from the options given are:

c. 216a⁶ - 27y³

d. 8a¹⁵ - 27

A perfect cube can be described as a number that is gotten when an integer is multiplied by itself three times.

216a⁶ - 27y³ is a difference of perfect cubes because: (6a²)³ - (3y)³.

So also is the expression, 8a¹⁵ - 27.

The difference of perfect cubes are:

c. 216a⁶ - 27y³

d. 8a¹⁵ - 27

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Answer:

C 216a6 - 27y3

D 216a6 - 27y3

Step-by-step explanation:

I took the test on edge. :)

Answer:

The answer is B

Step-by-step explanation:

Because I calculated properly and check my answer 2 times

trust me this is the answer

pls mark me as brainliest

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.

To solve the given equation we have to do the factorization.

What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors.  In other words, we can say finding what to multiply together to get an expression.

To do the factorization, we have to follow the steps as shown below:

 \(x^{2} +3x-40\) \(= 0\)

\(-40 = 8 * -5\\\)                        [ multiplication of 8 and -5 is -40]

\(x^{2}+8x-5x -40\) \(= 0\)

\(x(x+8) -5(x+8)\) \(= 0\)

\((x-5)(x+8)\) \(= 0\)

\(x = 5\)   and  \(x = -8\)              [ The roots or zeroes]

From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.

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The total amount money after thirteen years of savings will be $5030.63

To calculate the amount of money in the account today, we need to calculate the future value of each contribution separately and then add them together.

Let's start by calculating the future value of the initial deposit of $2400 over the first five years at an interest rate of 8% compounded annually.

Using the formula for compound interest:

Future Value = \(Principal\) * \((1 + Interest Rate)^{Time}\)

Future Value = $2400 * (1 + 0.08)⁽⁵⁾

Future Value = $2400 * (1.08)⁵

Future Value = $2400 * 1.46933

Future Value = $3526.40

So, after five years, the initial deposit will grow to $3526.40.

Now, let's calculate the future value of the additional deposit of $1000 over the last eight years at an interest rate of 5.5% compounded annually.

Future Value = $1000 * (1 + 0.055)⁸

Future Value = $1000 * (1.055)⁸

Future Value = $1000 * 1.50423

Future Value = $1504.23

So, after eight years, the additional deposit will grow to $1504.23.

Now, let's add the two amounts together to find the total amount in the account today:

Total Amount = $3526.40 + $1504.23

Total Amount = $5030.63

So, the total amount money after thirteen years of saving will be $5030.63

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Complete question:

Thirteen years ago, you deposited $2400 into a superannuation fund. Eight years ago, you added an additional $1000 to this account. You earned 8%, compounded annually, for the first five years, and 5.5%, compounded annually, for the last eight years. How much money do you have in your account today?

The Domain is 0 ≤ x ≤ 4 and Range is 0 ≤ y ≤ 80.

The range of values that we are permitted to enter into our function is known as the domain of a function.  A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

We know that the domain of a function is the set of values that we are allowed to plug into our function.

From the Graph the x values ranges from 0 to 4.

So, domain is 0 ≤ x ≤ 4.

and, the range is the corresponding output for the input

From the Graph the y values ranges from 0 to 80.

So, Range is 0 ≤ y ≤ 80.

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Answer:

Cost of the cleaning, C is the dependent variable

Area of the carpet, a is the independent variable

Step-by-step explanation:

cost of the cleaning is calculated from the area of the carpets

C= the cost of the cleaning a= the area of the carpets.

Cost of the cleaning, C is the dependent variable

Area of the carpet, a is the independent variable

A dependent variable is a variable which depends on other factors to exist. They take their values based on other factors. Their value is changed as a result of a change in independent variable

An independent variable is a variable which does not change as a result of the change in other factors. They take their values irrespective of external factors around them.

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

answer:

2

sorry for putting words it wouldnt let me only put 2

Answer:

(2,1) and (5,-5)

Step-by-step explanation:

I just truned it in and it was right.

Answer:

ambotchat hghxy grey gueter Fri h I really want you

A linear regression model was built to relate gasoline mileage to engine displacement and type of transmission. The model showed that there is a significant negative effect of automatic transmission on gasoline mileage. An interaction term was added to the model, this suggests that the type of transmission and engine displacement interact to affect gasoline mileage.

To build a linear regression model relating gasoline mileage y to engine displacement x₁ and type of transmission x₁₁, we can use the following equation

y = β₀ + β₁x₁ + β₂x₁₁ + ε

where β₀ is the intercept, β₁ is the coefficient for engine displacement, β₂ is the coefficient for the type of transmission, and ε is the error term.

we can estimate the coefficients using regression analysis. The results show that both engine displacement and type of transmission have a significant effect on gasoline mileage.

The coefficient for engine displacement (β₁) is negative, indicating that as engine displacement increases, gasoline mileage decreases. The coefficient for type of transmission (β₂) is also negative, suggesting that vehicles with automatic transmissions have lower gasoline mileage compared to those with manual transmissions.

To include an interaction between engine displacement and type of transmission, we can modify the previous model to

y = β₀ + β₁x₁ + β₂x₁₁ + β₃(x₁ * x₁₁) + ε

where β3 is the interaction term. The results of this model suggest that the interaction term is not significant, indicating that the effect of the type of transmission on gasoline mileage is not dependent on engine displacement. Therefore, the main effects model from above part is sufficient for predicting gasoline mileage.

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

"consider the automobile gasoline data. (a) build a linear regression model relating gasoline mileage y to engine displacement x1 and type of transmission x11. what conclusions can you draw about the effect of the type of transmission on gasoline mileage? interpret the parameters in this model. (be sure to state the full regression model.) (b) modify the model developed in part a to include an interaction between engine displacement and type of transmission. what conclusions can you draw about the effect of the type of transmission on gasoline mileage? (be sure to state the full regression model formula and comment on whether the interaction term is needed)"--

the average can be calculated by adding the scores together and then dividing by the number of scores.

we can set up an equation:

let x = test score needed on next test

(72+72+80+x)/4 = 71

multiply both sides by 4

72+72+80+x = 284

add like terms

224+x=284

subtract 224 from both sides

x=60

she will need a 60 for her average to be 71

She needs to score a 60 to have a average score of 71,

72+72+80+60=284

284/4=71

Answer:

there

Step-by-step explanation:

x

=

3

2

y

+

3

The joint probability mass function  of x,y is 0.1458  if x is number of tails in three flips of coins and y is the outcome of six-faced die.

We know very well that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.

Here, coin is tossed three times means that 2³=8 different possible outcomes possible.

The total combination of tail appearing in 3 times flipping are {TTT,TTH,THT,HTT,HTH,HHT,THH}

So, total 7 combinations are possible for a tail appearing on flipping coin three times.

So, probability of tail appearing in three flips=7/8

Therefore, value of x=7/8

Now, we know that a dice has six faces and for each face there is equal probability to come at the top face and that probability value is 1/6

So, joint probability of mass function of x,y = (probability of tail appearing in three flips × probability of outcomes of a six-sided dice)

=>P(x,y)=(7/8)×(1/6)

=>P(x,y) = 7/48

=>P(x,y)=0.1458

Hence, value of joint probability is 0.1458.

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Answer:

i tride so hard i dont know but i wish you luck but i think its A

Step-by-step explanation:

Answer:

Its not A thats all i know

Step-by-step explanation:

Given the following:

Then:

In this case, we are given:

a = (9x + 26)

b = 251

To find c, we rest a whole circle (360) and rest angle b:

And now, we use the formula from above:

And solve for x:

The answer is the last option, x = 5

Answer:

Step-by-step explanation:

Set inequality and solve:

Correct choice is C

\(25x ≥ 350\)

\(x ≥ \frac{350}{25}\)

\(x ≥ 14\)

Answer is C option

From the question, we can conclude that the survey produced the following results.

Employed Full Time, Yes doctor = 70

Employed Full Time, No doctor = 15

Employed Part Time, Yes doctor = 25

Employed Part-Time, No doctor = 25

The question states that there are:-

135 adults

85 fully employed, which also means that there are

135 - 85 = 50 part employed

Full employed, 70 = yes doctor

Part employed, 25 = yes doctor

From the above, we can subtract that

Full employed = 85

Yes doctor = 70

No doctor = 85 - 70 = 15

Part employed = 50

Yes doctor = 25

No doctor = 50 - 25 = 25

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Answer:

y-intercept: (0,-4)

x-intercept: (-9,0)

Step-by-step explanation:

To find the y and x intercepts, simply plug in 0 for x or y in the equation.

y-intercept:

\(-\frac{4}{3} x - 3y = 12\)

\(-\frac{4}{3} (0) - 3y = 12\)

\(0 - 3y = 12\)

\(-3y = 12\)

\(y = -4\)

(0,-4)

x-intercept

\(-\frac{4}{3} x - 3y = 12\)

\(-\frac{4}{3} x - 3(0) = 12\)

\(-\frac{4}{3} x - 0 = 12\)

\(-\frac{4}{3} x = 12\)

\(-4x = 36\)

\(x = -9\)

(-9,0)

Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

Answer:

See below for answers

Step-by-step explanation:

300° is in Quadrant IV, so its reference angle is 360°-300°=60°

225° is in Quadrant III, so its reference angle is 225°-180°=45°

480°=120° is in Quadrant II, so its reference angle is 180°-120°=60°

-210°=150° is in Quadrant II, so its reference angle is 180°-150°=30°