The sum of the
First n terms of a linear
sequence is
ce is
\(2 - 7 {n}^{2} \)
, find the second term​

Answer:

Below

Step-by-step explanation:

x=\(\frac{1-20g}{10(1-4g)}\)

Answer:

using BODMAS=(4x-2)=(2x)

10x-10g(2x)=

10x=10+(2x)=

10x=20x

divide both sides by 10

10x/10=20x/10

x=20/10

x=2

If we take a simple random sample of size n=500 from a population of size 5,000,000, the variability of our estimate will be  (c) about the same as the variability for a sample  size n=500 from a population of size 50,000,000.

The variability of an estimate primarily depends on the sample size (n) rather than the population size. Since both scenarios have a sample size of 500, the variability will be approximately the same.

The correct answer is (d) slightly greater than the variability for a sample size n = 500 from a population of size 50,000,000. This is because the larger the population size, the smaller the sampling variability. In other words, if we take a sample of the same size from a larger population, there will be more variability due to the increased number of potential outcomes. However, the difference in variability between a population size of 5,000,000 and 50,000,000 is not significant enough to make a substantial impact on the estimate.

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Answer:

Explanation:

Here, we want to get the values of f(x) at the given values of x

To get that, we have to substitute the values of x into f(x)

We take the x-values one after the other

when x = -4:

when x = -2:

when x = 0:

when x = 1:

when x = 3:

when x = 5:

For the given values of x:

Answer: The answer is 5^15 which we find out by multiplying the ^3 and ^9, from there you subtract 12.

Answer:

Step-by-step explanation:

find the gradient of given equation:

3y+4x=12

3y= -4x+12

y= -4/3x+4

gradient= -4/3

perpendicular gradient:

m1xm2=-1

-4/3m2=-1

-4m2=-3

m2= 3/4

find y-intercept by inputting coordinates in y=mx+c

5=3/4(3)+c

5=9/4+c

5-9/4=c

c= - 11/4

equation:

y=3/4x-11/4

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-7)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-4)}}} \implies \cfrac{-3 +7}{4 +4} \implies \cfrac{ 4 }{ 8 } \implies \cfrac{ 1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{(-4)}) \implies y +7 = \cfrac{ 1 }{ 2 } ( x +4) \\\\\\ y+7=\cfrac{ 1 }{ 2 }x+2\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 2 }x-5 \end{array}}\)

Therefore, the correct answer is b) right.

Based on the given side lengths of 9, 12, and 15, we can determine the type of triangle by applying the Pythagorean Theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

To check if the triangle is right, we need to find the square of each side length and determine if it satisfies the Pythagorean equation.

Let's calculate:

9^2 + 12^2 = 81 + 144 = 225
15^2 = 225

As we can see, 225 is equal to 225. This indicates that the given triangle satisfies the Pythagorean Theorem and is a right triangle.

Therefore, the correct answer is b) right.

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Answer:

b) right

Step-by-step explanation:

The width of the given television with the given parameters is; 52 inches

Pythagoras theorem is simply a formula used to find the side lengths of a right angle triangle. The formula is;

Hypotenuse² = Opposite² + Adjacent²

From the given image of the television, we see that;

Hypotenuse = 65 inches

Opposite = 39 inches

Thus, the width will be the adjacent side and applying Pythagoras theorem, we have;

65² = 39² + Adjacent²

Adjacent = √(65² - 39²)

Adjacent = √(4225 - 1521)

Adjacent = √2704

Adjacent = 52 inches width

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Answer: 4,784 in2

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

A linear combination in mathematics is an expression created from a group of terms by multiplying each component by a constant and combining the results (for example, an expression of the form axe + by, where a and b are constants, would be a linear combination of x and y).

The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

These statements accurately describe properties and definitions related to matrix-vector multiplication. The product Ax is obtained by taking a linear combination of the columns of A, where the entries of x act as weights. The resulting product Ax is a vector in \(R^n\), and its entries are calculated by summing the products of the corresponding entries from row i of A and the vector x.

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To find the indefinite integral of the function x²(x² - 25)³/² dx, we can use the trigonometric substitution x = 5sec(θ).

This substitution involves replacing x with 5sec(θ), which allows us to express the expression in terms of trigonometric functions. The resulting integral will involve trigonometric functions and their derivatives, which can be evaluated using trigonometric identities and integration techniques.

To use the trigonometric substitution x = 5sec(θ), we start by expressing x² - 25 in terms of sec(θ). From the identity sec²(θ) - 1 = tan²(θ), we have sec²(θ) = tan²(θ) + 1. Rearranging this equation, we obtain sec²(θ) - 1 = tan²(θ), which implies sec²(θ) = tan²(θ) + 1.

Substituting x = 5sec(θ), we have x² - 25 = (5sec(θ))² - 25 = 25sec²(θ) - 25 = 25(tan²(θ) + 1) - 25 = 25tan²(θ).

Therefore, the integral becomes ∫ 25tan²(θ) * 5sec(θ) * 5sec(θ) * sec(θ) dθ.

Simplifying further, the integral becomes ∫ 125tan²(θ)sec³(θ) dθ.

Using the trigonometric substitution x = 5sec(θ), we can rewrite the expression in terms of trigonometric functions. This allows us to evaluate the integral using trigonometric identities and integration techniques specific to trigonometric functions.

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Answer:

Value of x = 16

Step-by-step explanation:

Given:

Mean value = 10

Numbers; 4, 8, x, 12

Find:

Value of x

Computation:

Mean = Sum of all numbers / Total Number

10 = (4 + 8 + x + 12) / 4

40 = 24 + x

x = 16

Value of x = 16

Answer:

2.50

Step-by-step explanation:

You have to divide money by units

The confidence interval for mean germination period is approximately 47.18 to 48.82 days. This means that we can be 95% confident that the true mean germination period for all types of grass seed falls within this range.

To estimate the unknown mean germination period of grass seed, we can use a confidence interval. Since the sample size is large (n=20), we can assume that the sampling distribution of the sample mean is approximately normal.

To construct a confidence interval for the mean germination period, we will use the formula:
Confidence Interval = sample mean ± (critical value * standard deviation / square root of sample size)
First, we need to find the critical value for the desired confidence level. Let's assume a 95% confidence level, which corresponds to a critical value of 1.96 (for a two-tailed test).
Substituting the values into the formula, we get:
Confidence Interval = 48 ± (1.96 * 3 / √20)
Calculating this expression, we find that the confidence interval for the mean germination period is approximately 47.18 to 48.82 days.
To estimate the unknown mean germination period of grass seed, we can use a confidence interval. Since the sample size is large (n=20), we can assume that the sampling distribution of the sample mean is approximately normal. This allows us to make inferences about the population mean using the sample data.
To construct a confidence interval for the mean germination period, we will use the formula: Confidence Interval = sample mean ± (critical value * standard deviation / square root of sample size). In this case, we have a sample mean of 48 days and a sample standard deviation of 3 days.
First, we need to find the critical value for the desired confidence level. Let's assume a 95% confidence level, which corresponds to a critical value of 1.96 (for a two-tailed test). This means that there is a 95% probability that the true mean germination period falls within the confidence interval.
Substituting the values into the formula, we get:
Confidence Interval = 48 ± (1.96 * 3 / √20)
Calculating this expression, we find that the confidence interval for the mean germination period is approximately 47.18 to 48.82 days. This means that we can be 95% confident that the true mean germination period for all types of grass seed falls within this range.

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Answer: The other point is (17, -6).

Step-by-step explanation:

Midpoint (x,y) of the line segment joining (a,b) and (c,d) is given by :-

\((x,y) =(\dfrac{a+c}{2}, \dfrac{b+d}{2})\)

Here, we need to find the other endpoint of a segment with one endpoint at(-3, 8) and the midpoint at (7, 1).

Let other point be (a,b), then

\((7,1)=(\dfrac{-3+a}{2},\dfrac{8+b}{2})\\\\\Rightarrow\ \dfrac{-3+a}{2}=7\ \text{ and }\dfrac{8+b}{2}=1\\\\\Rightarrow\ -3+a = 7\times2 \text{ and } 8+b=1\times2\\\\\Rightarrow\ -3+a=14\text{ and }8+b=2\\\\\Rightarrow\ a=14+3, \ \ \ b= 2-8\\\\\Rightarrow\ a=17, b= -6\)

hence, the other point is (17, -6).

The correct option B.

The value of the zeros of function g is -6 and 7

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

The factors are  (x − 7) and (x + 6)

On simplifying the we get:

x²+ 6x -7x -42 = 0

x² - x - 42 = 0

The factorizing these equation we get.

So the zeros are -6 and 7 , so option b is correct.

\(x_{1,2}=\frac{-(-1) \pm \sqrt{(-1)^{2}-4 \cdot 1 \cdot(-42)}}{2 \cdot 1}\)

\($$x_{1,2}=\frac{-(-1) \pm 13}{2 \cdot 1}\\\)

\(x_1,_2\) = ((1) ± 13)/2.1

\(x_1\)    = (1+13)/2.1

\(x_2\)     = (1 - 13)/2.1

\(X_1\\\) = 7 , \(X_2\) = -6

The Zeros of the function are: (7 , -6)

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Answer:

25 and 55

Step-by-step explanation:

Let's call the larger number L and the smaller S

L = 5 + 2×S

And the sum is:

L + S = 80 Subtract S in both sides:

L = 80 - S

Now, substitute this value of L in the first equation:

80 - S = 5 + 2×S Add S in both sides:

80 = 5 + 2×S + S

80 = 5 + 3S Subtract 5 in both sides

75 = 3S Divide both sides by 3

25 = S

We find the value of S, and now we substitute it in the second equation to find the value of L:

L = 80 - 25

L = 55

Answer:

A

Step-by-step explanation:

Ok first we need to find rate of MILES per HOUR

320/6.4=50

m= miles in 9 hours

9*50=450

is your answer

A

(6.4*9)/320m=Hours/miles

Hope this helps!

The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.

We know that speed is the ratio of distance and time. Then we have

The number of miles the bus will travel in 9 hours will be

320 / 6.4 = m / 9

6.4 / 320 = 9 / m

Then the correct option is B.

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Given the decimal value 8.05.

First we need to express as a fraction as shown;

8.05 = 805/100

Write in ots simplest form

805/100 = 5 * 161/5*20

805/100 = 161/20

Hence the decimal 8.05 as an improper fraction is 161/20

Express as mixed fraction;

161/20 = [(20*8) + 1]20

161/20 = (20*8)/20 + 1/20

161/20 = 8 + 1/20

161/20 = 8 1/20

Hence the deco

The probability of less than two students going to college if six students are randomly selected from a school of 125 graduating seniors, and all the parents make over $75,000 per year is 0.0014 or 0.14%.

Given, Probability of a high school student going to college, when the parents make over $75,000 per year is 0.60.The total number of graduating seniors is 125.And, six students are randomly selected.

Let X be the number of students who go to college.If we assume that each student is independent of each other, then the probability that a student goes to college is 0.60, and the probability that a student does not go to college is 1 - 0.60 = 0.40.

Then the probability mass function of X is given by,\(P(X = k) = nCk * pk * (1 - p)n - kwhere n = 6, k = 0,1.P(X < 2) = P(X = 0) + P(X = 1) = (6C0 * 0.6^0 * 0.4^6) + (6C1 * 0.6^1 * 0.4^5) = (1 * 1 * 0.01024) + (6 * 0.6 * 0.32768) = 0.0014\)or 0.14%.Therefore, the probability that less than two students will actually go to college is 0.0014 or 0.14%.

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When a coin is weighted, there is a two-thirds chance that it will land on its head. suppose you toss this coin 15 times. let x represent the number of heads. Mean = 10 and Standard deviation = 2.88

The mean of x, which represents the number of heads when the coin is tossed 15 times, is 10. This is because the probability of getting heads is two-thirds, meaning that two out of every three tosses will result in heads.We apply the following formula to determine the standard deviation:

Standard Deviation = √(p*q*n), where p is the probability of getting heads, q is the probability of getting tails, and n is the number of tosses. In this case, p = 2/3, q = 1/3, and n = 15, so the standard deviation of x is 2.88.

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Answer:

72 cm^3

Step-by-step explanation:

You multiply 3*4*6 which is 72.

Answer:

72 cubic cm

Step-by-step explanation:

Multiply the height, width, and length

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

The number of centimetres in the 1 yard will be 9.144 cm.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Given that:-

Metric System Units

1 inch = 2.54 centimetres

1 foot = 0.3048 meters

1 mile = 1.61 kilometres

1 yard = 3 feet

1 yard = 36 inches

First, we will calculate 1 yard to feet.

1 yard = 3 feet

1 feet = 0.3048 meters

1 feet = 3.048 centimeters

1 yard = 3 x 3.048 centimeters

1 yard = 9.144 centimeters

Hence, the length of 1 yard in cm is 9.144 cm.

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Answer:

D

Step-by-step explanation:

Given

\(\frac{1}{4}\) (2x + 8) = - 16

Multiply both sides by 4 to clear the fraction

2x + 8 = - 64 ( subtract 8 from both sides )

2x = - 72 ( divide both sides by 2 )

x = - 36

Answer:

Step-by-step explanation:

First multiply through by 4

That's

Subtract 8 from both sides

We have

Divide both sides by 2

That's

We have the final answer as

Hope this helps you

The reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

A sort of symmetry known as reflective symmetry occurs when one half of an object mirrors the other half. It also goes by the name "mirror symmetry."

For instance, both the left and right sides of a human face are typically the same. Most butterflies have identical wings on their left and right sides.

The given points of the triangle are R(3,-4), S(3,-7), and T(8,-7).

The reflected points of the triangle will be:-

R(3,-4) = R'( 3, 4)

S(3,-7) = R'(3,7)

T(8,-7) = R(8, 7)

The translated points by 2 units down will be:-

R'( 3, 4) = R''( 3, 2)

R'(3,7) = S''( 3, 5)

R(8, 7) = T''(8,5)

Therefore, the reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

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Answer:

so the other guy can get brainlyest

Step-by-step explanation:

pls like and rate

Answer:

the additive inverse of 1/7 is -1/7

1/7 x -1/7 = -1/49

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape