Find the measure of the indicated angle.
Need help and also need explanation,
THANK YOU!!

EXPLANATION

The division is equal to:

First we need to write the problem in long division format:

8.0 /_ 9.92

Divide 9 by 8 to get 1:

1

8.0 /_ 9.92

Multiply the quotient digit (1) by the divisor 8:

1

8.0 /_ 9.92

8

Subtract 8 from 9:

1

8.0 /_ 9.92

8

1

Add a decimal point to the solution

Bring down the next number of the dividend

1.

8.0 /_ 9.92

8

19

Responder:

14x - 40 = 310

Explicación paso a paso:

Dado que:

El baloncesto cuesta 10 € menos que un balón de fútbol

10 balones de fútbol y 4 de baloncesto cuestan 310 €

Para formar una ecuación:

Deje que el costo de:

Balón de fútbol = x

Costo del baloncesto = x - 10

Por lo tanto,

Costo de 10 balones de fútbol = 10 * x = 10x

Costo de 4 pelotas de baloncesto = 4 * (x - 10) = 4x - 40

Coste total :

Coste del balón de fútbol + coste del baloncesto = 310 €

10x + 4x - 40 = 310 €

14x - 40 = 310

14x = 310 + 40

14 veces = 350

x = 25 € = coste del balón de fútbol

Coste del baloncesto = 25 € - 10 € = 15 €

To draw a rectangular array for 24 x 18 on graph paper, we create a grid with 24 rows and 18 columns.

The partial-products algorithm for multiplying 24 and 18 involves breaking down the multiplication into smaller, manageable steps. The array helps visualize these steps and demonstrates why the algorithm yields the correct answer. Using the array, we start by dividing the 24 x 18 rectangle into smaller squares that represent individual partial products. Each row in the array corresponds to a digit in the multiplier (24), and each column corresponds to a digit in the multiplicand (18). We fill in the array by multiplying the corresponding digits in the multiplier and multiplicand.

For example, the first partial product is obtained by multiplying the rightmost digit of the multiplier (4) by each digit in the multiplicand (8, 1). We place the result, 32, in the corresponding square in the array. Similarly, we calculate the other partial products and place them in the corresponding squares. To find the final product, we sum up all the partial products in the array. In this case, we add up the values in all the squares to get 432, which is the correct answer to 24 x 18.

The array demonstrates why the partial-products algorithm works. By breaking down the multiplication into smaller steps and organizing them in the array, we ensure that each digit in the multiplier is multiplied by each digit in the multiplicand. The array visually represents the distributive property of multiplication, where each digit in one number is multiplied by each digit in the other number. Adding up the partial products gives the total product, ensuring the correct result. The array provides a visual proof of why the partial-products algorithm yields the correct answer to the multiplication problem.

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1720 gallons of rainwater are needed to fill the container to the top.

What does have capacity mean?

The ability to use and comprehend data to make decisions and convey those decisions is referred to as capacity.

If the container is 30% filled with rainwater, then it is 70% empty. Let's first calculate the capacity of the container when it is 100% full:

Capacity of container = (100 / 30) * 1290 = 4300 gallons

So, the container has a capacity of 4300 gallons when it is 100% full.

Since the container already has 30% of its capacity filled with rainwater, we need to add enough rainwater to fill the remaining 70% of the capacity. The amount of rainwater needed to fill the container to the top is:

Amount of rainwater needed = 70% of 4300 - 30% of 4300

= 0.7 * 4300 - 0.3 * 4300

= 3010 - 1290

= 1720 gallons

Therefore, 1720 gallons of rainwater are needed to fill the container to the top.

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Answer:

4(2)^(2/3)   or   4∛(4)

Step-by-step explanation:

Rules of Exponents..

16^(2/3)

= (2^4)^(2/3)

= 2^(8/3)

= 2^(2 + 2/3)

= 2^2 · 2^(2/3)

= 4(2)^(2/3)   or   4∛(4)

Let's begin by listing out the information given to us:

PTA has 180 soda packs to sell = 180 soda packs

Each pack of soda cost $9.99 = $9.99 /soda

PTA sold 95 packs of soda before school = 95 soda packs

To find how much money the PTA collected after school, we will have to find the number of soda packs sold after school

To get the number of soda packs sold after school, subtract the number of soda packs sold before school from the total number of soda packs.

Mathematically,

Number of soda packs sold after school = 180 - 95 = 85 soda packs

How much money did the PTA collect when selling sodas after School = Number of soda packs sold after school * Cost of each soda pack

= 85 * 9.99 = $849.15

Answer:

√3/2

Step-by-step explanation:

We are to find the exact value of the expression below

Cos(Tan^- 1 - (sqrt(3))/3)

Evaluate the one in bracket first

Tan^-1√3/3 = 30°

Cos(Tan^- 1 (sqrt(3))/3) = Cos30°

Now find cos30°

cos30° = √3/2

Hence the value for the trigonometric expression is √3/2

The problem can be modeled as a linear programming problem. We need to minimize the total cost of shipping the boots, which can be represented as a linear combination of the shipment quantities.

Thus, the objective function to be minimized can be written as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6

32 + y33 ≤ 40 (capacity limit at warehouse 3)

y41 + y42 + y43 ≤ 30 (capacity limit at warehouse 4)

y51 + y52 + y53 ≤ 45 (capacity limit at warehouse 5)

xij, yjk ≥ 0 (non-negativity constraint)

Thus, the complete linear programming problem can be formulated as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6x21 + 4x22 + 5x23 + 4y11 + 3y12 + 6y13 + 5y21 + 5y22 + 4y23 + 6y31 + 7y32 + 5y33 + 4y41 + 6y42 + 5y43 + 5y51 + 4y52 + 6y53

Subject to:

x11 + x12 + x13 ≤ 60

x21 + x22 + x23 ≤ 90

x11 + x21 = y11 + y21 + y31 + y41 + y51

x12 + x22 = y12 + y22 + y32 + y42 + y52

x13 + x23 = y13 + y23 + y33 + y43 + y53

y11 + y12 + y13 ≤ 35

y21 + y22 + y23 ≤ 50

y31 + y32 + y33 ≤ 40

y41 + y42 + y43 ≤ 30

y51 + y52 + y53 ≤ 45

xij, yjk ≥ 0

Solving this linear programming problem using a suitable solver will provide us with the optimal values of xij and yjk, which will help us in determining the minimum cost required for shipping the boots while satisfying all the constraints.

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Answer:

B. Mecca's leaders forced Muhammad to leave the city.

Answer:

This is how I would approach it

Step-by-step explanation:

In all the given cases, the p-value is less than the level of significance. Hence, we reject the null hypothesis and conclude that there is a significant difference between the given variables.

The hypothesis testing is used to test the hypothesis when the value of the population parameter is not known. It is an inferential statistical procedure in which the sample data is used to infer or predict the population parameter.

It involves setting up null and alternative hypotheses, calculating the test statistics and comparing it with the critical value to make a decision whether to reject or fail to reject the null hypothesis.

The given guide states that the null hypothesis should be rejected when the p-value is less than alpha. The level of significance is taken as 0.05. If the calculated p-value is less than the level of significance, then we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Now, let's analyze the given data and draw conclusions based on the p-values.

A. Girth and height of trees 0.0028

For this case, the p-value is 0.0028 which is less than the level of significance (0.05).

Hence, we reject the null hypothesis. Therefore, there is a significant difference between the girth and height of trees.

B. Girth and volume of trees 0.0001

For this case, the p-value is 0.0001 which is less than the level of significance (0.05).

Hence, we reject the null hypothesis. Therefore, there is a significant difference between the girth and volume of trees.

C. Height and volume of trees 0.0004

For this case, the p-value is 0.0004 which is less than the level of significance (0.05).

Hence, we reject the null hypothesis. Therefore, there is a significant difference between the height and volume of trees.

In all the given cases, the p-value is less than the level of significance. Hence, we reject the null hypothesis and conclude that there is a significant difference between the given variables.

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Answer:

e

Step-by-step explanation:

e

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Answer:

Use desmos if you can but usually just look at where the lines intersect. there can be more than one point

Step-by-step explanation:

Answer:

2 feet per year

Step-by-step explanation:

Answer:

a) x = 6°  b) m∠B = 50°

Explanation:

(a) total angle measure of a triangle is 180°

8x + 2 + 70° + 60° = 180°

8x + 132° = 180°

8x = 180° - 132°

8x = 48°

x = 6°

(b)

m∠B = 8x + 2

m∠B = 8(6) + 2°

m∠B = 48° + 2°

m∠B = 50°

Answer:

A. X is 6 and B. Angle is 50

Step-by-step explanation:

PART A

Triangle sum theorem explains that all angles in a triangle add up to 180

(8x + 2) + 70 + 60 = 180

8x= 180-70-60-2

8x= 48

X= 48/8 =6

PART B

Using the formula provided, replace the x with 6

So it'll be 8(6)+2 = 48+2 = 50

value of a2+a4+a6+……+a98 IS EQUAL TO 93.

Given, the common difference (d) =1

Let a1=a Given, a1+a2+……+a98=137

⇒(98/2)(2a+97)=137    [Sn=n/2[2a+(n−1)d]

⇒2a+97=137/49…eq.(1)

a2+a4+…+a98    (n=49 terms)

a2+a4+…+a98=49/2(a2+a98)

a2+a4+…+a98=49/2[(a+1)+a+97]

a2+a4+…+a98=49/2[2a+97+1]

a2+a4+…+a98=49/2[(137/49)+1] [using eq. 1]

a2+a4+…+a98=137/2+49/2

a2+a4+…+a98=186/2 =93

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The curved surface area of the cylindrical container is approximately 6782.3 \(cm^2.\)

To calculate the curved surface area of a cylindrical container, we need to find the lateral surface area.

The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius of the base and h is the height of the cylinder.

In this case, the radius of the cylindrical container is 30 cm and the height is 36 cm. Plugging these values into the formula, we have:

Lateral surface area = 2π(30 cm)(36 cm)

= 2160π cm².

The curved surface area of the cylindrical container is approximately 6782.4 .\(cm^2.\)

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The number of different social security numbers that can be formed is 3628800.

Given that :

A social security number contains nine digits, such as 914-47-2245.

There are digits 0,1,2,....,9.

So there are 10 numbers in total.

So we can select 9 numbers from a total of 10 numbers.

Using permutation, total numbers is :

P(10, 9) = 10! / (10 - 9)!

            = 10!

            = 3628800

Hence the total number of security numbers that can be formed is 3628800.

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Answer:

\(\huge\boxed{Q=\dfrac{T-R}{R}=\dfrac{T}{R}-1}\)

Step-by-step explanation:

\(R = T - RQ\qquad|\text{add}\ RQ\ \text{to both sides}\\\\R+RQ=T-RQ+RQ\\\\R+RQ=T\qquad|\text{subtract}\ R\ \text{from both sides}\\\\R-R+RQ=T-R\\\\RQ=T-R\qquad|\text{divide both sides by} \ R\neq0\\\\\dfrac{RQ}{R}=\dfrac{T-R}{R}\\\\Q=\dfrac{T-R}{R}\\\\Q=\dfrac{T}{R}-\dfrac{R}{R}\\\\Q=\dfrac{T}{R}-1\)

Using the Integral Test, the correct choice is B. Since the integral ∫(k+7)dx diverges, the series also diverges.

We are supposed to use Integral Test to determine the convergence or divergence of the series, ∑(k+7)dx.

We can use the Integral Test to test for the convergence of series if the function in the series is continuous, positive, and decreasing for all x greater than or equal to some value N.

The Integral Test states that a series converges if and only if the integral of the series term is convergent, i.e. if the integral of u(x)dx is convergent. Also, if the integral of u(x)dx diverges, the series is divergent.

So we need to check whether the function in the given series is continuous, positive, and decreasing for all x greater than or equal to some value N.

If we integrate the series, ∑(k+7)dx, we get:∫(k+7)dx= ∫k

dx + ∫7dx= (k²/2) + 7x+ C

where C is the constant of integration.

Since the value of C is not given, we cannot say anything about the exact value of the integral.

However, the value of the constant of integration does not matter in this case as we only need to determine whether the integral converges or diverges.

Therefore, we can use the Integral Test to determine the convergence or divergence of the series.

Using the Integral Test, the correct choice is B.

Since the integral ∫(k+7)dx diverges, the series also diverges.

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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The percentage of calories that comes from saturated fat in each serving of these crackers is 0.4%

To calculate the percentage of calories that come from saturated fat, we need to first determine how many calories come from saturated fat in one serving of crackers.

We know that each serving of crackers provides 120 calories, and 0.5 grams of saturated fat. We can convert the amount of saturated fat from grams to calories by multiplying it by 9 (since 1 gram of fat provides 9 calories).

0.5 grams of saturated fat x 9 calories per gram = 4.5 calories from saturated fat

Therefore, out of the 120 total calories in one serving of crackers, 4.5 calories come from saturated fat.

To find the percentage of calories that come from saturated fat, we can divide the number of calories from saturated fat by the total number of calories in one serving of crackers, and then multiply by 100.

(4.5 calories from saturated fat / 120 total calories) x 100 = 0.0375 x 100 = 0.4%

Therefore, each serving of crackers provides 0.4% of calories from saturated fat.

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Use parentheses that may or may not contain parameters directly after the function name to invoke the function.

As part of GAIA, the AI created for Project Zero Dawn in reaction to the Faro Plague, the subordinate functions are a part. The Faro Swarm's deactivation and the planet's terraforming are all objectives of Project Zero Dawn, and they are all accomplished through their extensive suite of subfunctions, each of which is dedicated to a particular purpose.

There are nine supporting roles.

A top engineer on the Zero Dawn project known as an Alpha created each of the nine subordinate functions. They were supported by a project development team made up of professionals in their industry who were well-known throughout the world.

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Answer:

Step-by-step explanation:

\(C=2\pi r\)

   \(=2\times \pi \times 2.2\)

   \(=4.4\pi\)

   \(=13.82\)

The exponential function that best models the data would be,

⇒ y = 4(2ˣ)

Now, Based on the data provided,

Here, the population of the prairie dog colony is doubling every year.

Hence, This suggests that an exponential function would best model the data.

We know that,

An exponential function is represented by,

⇒ y = abˣ,

where "a" is the initial value, and "b" is the growth factor and "x" represents the time in years.

Hence, for this prairie dog colony, the exponential function that best models the data would be,

⇒ y = abˣ,

Put x = 0, y = 4

⇒ 4 = ab⁰

⇒ a = 4

And, put x = 1, y = 8, a = 4,

⇒ 8 = 4 b¹

⇒ b = 2

Hence, the exponential function that best models the data would be,

⇒ y = 4(2ˣ)

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The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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Answer:

3 is the answer okpkkkkk

Answer:

B is the best answer

Step-by-step explanation:

2) \(\frac{-3}{10}\)

This is a rational number because as a decimal, it is -0.3. It doesn't repeat, so it is a terminating decimal.

3) \(\sqrt{40}\)

When you put this into a calculator, you get 6.324555... Since this decimal would go on forever, it is irrational.

4) \(\sqrt{81}\)

When you put this into a calculator, you get 9. It is a whole number, so it is rational.

5) 2 \(\frac{1}{3}\)

As an improper fraction, this is 7/3. When you put this into a calculator, you would get 2.33333... Since this decimal would go on forever, it is irrational.

6) 0.35

This is a terminating decimal, just like number one. It doesn't repeat, so this is a rational number.

7) 0.33333 ....

This is an irrational number because it repeats.

8) -9

Since this is a whole number, it would be rational.

9) 3.4

This is a terminating decimal, just like number 6. It doesn't repeat, so this is a rational number.

10) \(\sqrt{2}\)

When you put this into a calculator, you get 1.41421... Since this decimal would go on forever, it is irrational.