please complete it (picture)​

Answer:

32

Step-by-step explanation:

Answer:

u have to multiply these.

it's too easy .

see I will tell you the answer.

-2x²-6x-(x²-2x+x-2)

Now the signs of the underlined terms will change because negative sign is outside it.

-2x²-6x-x²+ 2x-x + 2

Now we have to solve it simply

-2x²-x²-6x+ 2x-x + 2

-3x²-5x+2

so here is ur answer.

for Indians it is soo simple question bro

I am Indian

if u need any help plz let me know.

The value of the integral ∫ 12xdx, dividing the interval (1, 2) into four equal parts using Simpson's rule, is approximately [insert numerical value].

Simpson's rule is a numerical method used for approximating definite integrals. It involves dividing the interval of integration into smaller subintervals and approximating the area under the curve using a quadratic polynomial. In this case, the interval (1, 2) is divided into four equal parts, resulting in subintervals of width h = (2 - 1)/4 = 1/4.

To apply Simpson's rule, we calculate the value of the integral by summing the areas of the quadratic approximations over each subinterval. The formula for Simpson's rule is given by:

∫ f(x)dx ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

In this case, since we have four equal parts, we have n = 4 and the formula simplifies to:

∫ 12xdx ≈ (1/12) * [f(1) + 4f(1 + h) + 2f(1 + 2h) + 4f(1 + 3h) + f(2)]

By substituting the appropriate values of f(x) into the formula and evaluating the expression, we can obtain the approximate value of the integral.

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Answer:

162 caps.

Step-by-step explanation:

Let x be the number of caps.

We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.

We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges ().

Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000. We can represent this information in an equation as:

Now let us solve for x.

Let us divide both sides of our inequality by 6.

The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

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9514 1404 393

Answer:

  20,592

Step-by-step explanation:

Over 36 months, the extra payment of 572 per month will total ...

  36 × 572 = 20,592

To determine the speed of the car at the bottom of the hill, we can use the principle of conservation of energy. As the car rolls down the hill, it will convert its potential energy at the top into kinetic energy at the bottom, neglecting any energy losses due to friction or air resistance.

The potential energy of the car at the top of the hill is given by the formula:

Potential Energy = mass × gravity × height

Since the mass of the car is not provided, we can assume it to be a constant value for the purpose of this calculation. Gravity is approximately 9.8 m/s².

The kinetic energy of the car at the bottom of the hill is given by the formula:

Kinetic Energy = (1/2) × mass × velocity²

Since the potential energy at the top is equal to the kinetic energy at the bottom, we can equate the two equations and solve for velocity.

mass × gravity × height = (1/2) × mass × velocity²

Simplifying the equation, we find:

velocity² = 2 × gravity × height

Taking the square root of both sides, we get:

velocity = √(2 × gravity × height)

Substituting the given values, with gravity as 9.8 m/s² and height as 50 m, we can calculate the velocity. Plugging the values into the equation, we find: velocity = √(2 × 9.8 m/s² × 50 m) ≈ 31.3 m/s

Therefore, the car will be going at approximately 31.3 meters per second (m/s) at the bottom of the hill.

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Answer:

direct variation

Step-by-step explanation:

The constant of variation k for direct variation is

k = \(\frac{y}{x}\)

Calculate this ratio for each set of points

\(\frac{-10}{2}\) = \(\frac{-20}{4}\) = \(\frac{-35}{7}\) = \(\frac{-40}{8}\) = - 5

Then ordered pairs are in direct variation with k = - 5

The constant of variation for inverse variation is

k = xy

2 × - 10 = - 20

4 × - 20 = - 80

7 × - 35 = - 245

8 × - 40 = - 320

There is no constant thus not inverse variation

(a) Using the double-bar graph shown in the figure, we can estimate the number of female workers in Sales. The bar reaches some height in the middle of 200 to 250, so we can estimate 225.

(b) Checking the bars, we must select those departments where the gray bar is higher than the red bar.

If happens in.

Advertising

Sales

(c) Counting up the total employees per department, we have that:

Advertising has 150+175=325

Sales has 200+225=425

Production has 250+225=475

Accounting has 240+210=450

Answer: Production

The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and  30 in² respectively.

In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:

Perimeter of a parallelogram = 2 x (length + width)

Area of a parallelogram = base x height

Perimeter of a triangle = sum of the lengths of its sides

Area of a triangle = 1/2 x base x height

Now, let's apply these formulas to each shape:

Parallelogram with length 6 cm and width 4 cm:

Perimeter = 2 x (6 + 4) = 20 cm

Area = 6 x 4 = 24 cm²

Triangle with base 9 cm and height 5 cm:

Perimeter = 9 + 8 + 7 = 24 cm

Area = 1/2 x 9 x 5 = 22.5 cm²

Parallelogram with length 14 ft and width 7 ft:

Perimeter = 2 x (14 + 7) = 42 ft

Area = 14 x 7 = 98 ft²

Triangle with base 12 cm and height 8 cm:

Perimeter = 12 + 8 + 10 = 30 cm

Area = 1/2 x 12 x 8 = 48 cm²

Parallelogram with length 18 m and width 5 m:

Perimeter = 2 x (18 + 5) = 46 m

Area = 18 x 5 = 90 m²

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#SPJ11Triangle with base 6 in and height 10 in:

Perimeter = 6 + 8 + 10 = 24 in

Area = 1/2 x 6 x 10 = 30 in²

Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.

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Answer:

answer A

Step-by-step explanation:

Hello,

\((fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11\)

so the correct answer is A.

hope this helps

Answer:

A.  6x + 11.

Step-by-step explanation:

(f o g)(x)

We replace the x in f(c) by g(x) and simplify:

= 3(2x - 1) + 14

= 6x - 3 + 14

= 6x + 11.

Too easy XD I don’t remember how to do that T-T

Answer:

n=5

Step-by-step explanation:

All of the bases are 9 so you can set the exponents equal to each other.

Exponents in a fraction mean subtraction so 7-n = 2

-n=-5

n=5

Answer:

C.

Step-by-step explanation:

A line parallel to the line 4x + 7y = 49 - 2x + 4y must have a slope of - 2.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given a line that is 4x + 7y = 49 - 2x + 4y.

7y - 4y = - 2x - 4x + 49.

3y = - 6x + 49.

y = - 2x + 49/3.

Now, lines parallel to each other have the same slope.

Now if we simply the given options none of the lines have a slope of - 2 so none of the given lines are parallel to the line 4x + 7y = 49 - 2x + 4y.

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Answer: Ethiopia has a population growth rate above 2.5% and a life expectancy of 61 years old

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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Answer: y=1/2x

Step-by-step explanation:

The equation we can use is slope-intercept form. The formula is y=mx+b. The m represents the slope, and b is the y-intercept. The line passes through the y-axis at (0,0). therefore, the y-intercept is 0.

To find the slope, we can take any two points and use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) to solve for slope. Let's use (2,1) and (4,2).

\(m=\frac{2-1}{4-2} =\frac{1}{2}\)

The slope is 1/2. Our equation is y=1/2x+0 or y=1/2x.

Answer:

y=1/2x+0

Step-by-step explanation:

slope : 1/2

y=mx+b is the equation

y-intercept is 0 therefore the equation becomes:

y=1/2x+0

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

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Answer:

Width = 15 feet

Length = 32 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width = x feet

Length = (x + 17) feet

Perimeter = 94 feet

Perimeter of a rectangle = 2(length + width)

94 = 2{(x + 17) + x}

94 = 2(x + 17 + x)

94 =2(2x + 17)

94 = 4x + 34

94 - 34 = 4x

60 = 4x

x = 60/4

x = 15

Width = x feet = 15 feet

Length = (x + 17) feet

= 15 + 17

= 32 feet

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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When a vertical plane cuts through the base and two opposite lateral faces of a solid, the resulting cross-sectional shape is a rectangle.

A rectangle is a four-sided polygon with opposite sides that are equal in length and all interior angles measuring 90 degrees.

In this case, the base of the solid determines the length of the rectangle, while the height is determined by the distance between the two opposite lateral faces.

The rectangle is characterized by its straight sides and right angles, making it a familiar and commonly encountered shape in geometry.

It has properties such as equal opposite sides and diagonals that bisect each other.

The specific dimensions of the rectangle's length and height will depend on the size and orientation of the solid being cut by the vertical plane.

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We need to find value of x from the equation, so let write the equation first;

\({:\implies \quad \sf \dfrac{7x+14}{3}-\dfrac{17-3x}{5}=6x-\dfrac{4x+2}{3}-5}\)

Taking LCM both sides ;

\({:\implies \quad \sf \dfrac{35x+70-(51-9x)}{15}=\dfrac{18x-(4x+2)-15}{3}}\)

Multiplying both sides by 15 and simplifying ;

\({:\implies \quad \sf 35x+70-51+9x=5(18x-4x-2-15)}\)

\({:\implies \quad \sf 44x+19=5(14x-17)}\)

\({:\implies \quad \sf 44x+19=70x-85}\)

\({:\implies \quad \sf 70x-44x=19+85}\)

\({:\implies \quad \sf 26x=104}\)

\({:\implies \quad \sf x=\dfrac{104}{26}=\boxed{\bf 4}}\)

Hence, The required answer is 4

Given: {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5

Asked: Find the value of x = ?

Explanation: Given equation is {(7x + 14)/3} - {(17 - 3x)/5} = 6x - {(4x + 2)/3} - 5

⇛{(7x + 14)/3} - {(17 - 3x)/5} = {(6x)/1} - {(4x + 2)/3} - (5/1)

⇛{(7x*5 + 14*5 - 17*3 + 3x*3)/15} = {(6x*3 - 4x*1 - 2*1 - 5*3)/3}

⇛{(35x + 70 - 51 + 9x)/15} = {(18x - 4x - 2 - 15)/3}

⇛{(35x + 9x + 70 - 51)/15} = {(18x - 4x - 2 - 15)/3}

⇛{(44x + 19)/15} = {(14x - 17)/3}

⇛[{1/15}(44x + 19)] = [{1/3}(14x - 17)}]

⇛{(44x + 19)/15} = {(14x - 17)/3}

Since (a/b) = (c/d) ⇛a(d) = b(c) ⇛ad = bc

Where, a = 44x + 19, b = 15

c = 14x - 17 and d = 3

On applying cross multiplication then

⇛3(44x + 19) = 15(14x - 17)

Multiply the numbers outside of the bracket with numbers in the bracket.

⇛132x + 57 = 210x - 255

Shift the variable value on LHS and constant value on RHS.

⇛132x - 210x = -255 - 57

Subtract the values on LHS and RHS.

⇛(-78x) = (-312)

Shift the number (-78) from LHS to RHS.

⇛x = {(-312)/(-78)

Simplify the RHS fraction to get the final value of x.

⇛x = 4/1

Therefore, x = 4

Answer: Hence, the value of x for the given problem is 4.

EXPLORE MORE:

Verification:

Check whether the value of x for the given problem is true or false.

If x = 4 then LHS of the equation is

{(7x + 14)/3} - {(17 - 3x)/5}

= [{7(4) + 14}/3] - [{17 - 3(4)}/5]

= {(7*4 + 14)/3} - {(17 - 3*4)/5}

= {(28 + 14))3} - {(17 - 12)/5}

= (42/3) - (5/5)

= (42/3) - 1

= (42/3) - (1/1)

= {(42 - 1*3)/3

= {(42 - 3)/3}

= (39/3)

= 13/1

= 13

And RHS = 6x - {(4x + 2)/3} - 5

= 6(4) - [{4(4) + 2}/3] - 5

= 24 - {(16 + 2)/3} - 5

= 24 - (18/3) - 5

= 24 - (6/1) - 5

= (24/1) - (6/1) - (5/1)

= (24*1 - 6*1 - 5*1)/1

= (24 - 6 - 5)/1

= (24 -11)/1

= 13/1

= 13

On comparing with both the sides, we notice that LHS = RHS is true for x = 4

Hence, verified.

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To find q(z) and r(a) such that f(x) = g(x)g(x) + r(r), we need to factorize g(x) into its irreducible factors and divide f(x) by g(x).

The quotient q(z) will be the result of the division, and the remainder r(a) will be the remaining terms that cannot be divided evenly. We also need to ensure that r(a) is either 0 or has a degree less than the degree of g(x).

Given the functions f(x) = x+2+³+x+(3) and g(x) = x + ³+ [2]x² + [2] € Zs[r], we want to find q(z) and r(a) such that f(x) = g(x)g(x) + r(r).

First, we factorize g(x) into its irreducible factors. Without the explicit form of g(x), we cannot determine its factorization.

Next, we divide f(x) by g(x). The quotient q(z) will be the result of the division, and the remainder r(a) will be the terms that cannot be divided evenly.

To ensure that r(a) has either a degree of 0 or a degree less than the degree of g(x), we need to compare the degrees of r(a) and g(x).

Unfortunately, the given information does not provide sufficient details to determine the specific values of q(z) and r(a). Without the explicit form of g(x) and further information, we cannot proceed with the calculations.

Therefore, without additional information, we cannot provide a specific answer for q(z) and r(a) in this case.

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Answer: 52

There are 52 weeks in a year, because 365 ÷ 7 is 52.

It is a whole number, so you do not need to do the next following steps according to your question.

So, the answer is 52.

The number of weeks is 52 in a year 52 is not a whole number and the remainder is 1.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

There are 365 days in a non-leap year. There are 7 days per week.

Let x be the number of weeks x:

x = 365/7

x = 52.14

52 is not the whole number.

The remainder is 1

Thus, the number of weeks is 52 in a year and 52 is not a whole number and the remainder is 1.

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Answer:

Step-by-step explanation:

x = 2 works lol

but if you want a more complicated one:

4x - 4 = 4

there's infinite equations

The height of the tower is 969 feet.

Let CD be the tower and A be the point from a window in the building, a person determines that the angle of elevation to the top of the tower is 42 degrees.

In triangle AED

tan42° = ED/AE

tan42° = h₁/615

h₁ = tan42° × 615

= 553.74

Rounding to the nearest integer

h₁ = 554

In triangle AEC

tan34° = EC/AE

tan34° = h₂/615

h₂ = tan34° × 615

= 414.82

Rounding to the nearest integer

h₂ = 415

Height of tower = EC + ED

= h₁ + h₂

= 554 + 415

= 969

Therefore, the height of the tower is 969 feet.

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Answer:

5 (4 x + 5)

That is the answer

5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.