AR= 360 - 249 - AR is given : Comment the relationship betreen (AR) (MR) where q units produced cu and number of al MR is double AR 5) MR is the same at AR c) The slope of MR slope at MR ir double that of AR d) The slope of AR is double that of MR

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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the approximate area of the base of the paint can is 53.5 square centimeters.by using Volume formula is Base Area × Height

To find the approximate area of the base of the paint can, we can use the formula for the volume of a cylinder:

Volume = Base Area × Height

We are given the volume (535 cubic centimeters) and the height (10 cm). We need to solve for the Base Area. Rearranging the formula to solve for Base Area, we get:

Base Area = Volume ÷ Height

Now, substitute the given values:

Base Area = 535 cubic centimeters ÷ 10 cm

Base Area ≈ 53.5 square centimeters

So, the approximate area of the base of the paint can is 53.5 square centimeters.

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The approximate area of the base of the can is 53.5 square centimeters

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

Volume = 535 cubic centimeters of paint

Height of container = 10 cm

The area of the base of the can is calculated as

Base area = Volume/Height

Substitute the known values in the above equation, so, we have the following representation

Base area = 535/10

Evaluate

Base area = 53.5

Hence, the base area is 53.5 square centimeters

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Answer:

Step-by-step explanation:

standard form is:

Ax+By=C

for problem 2:

y= 1/2 x-8

y- 1/2 x - 8= 0

rearrange:

- 1/2x + y +8 = 0

2 (- 1/2x + y + 8) = 0

-x + 2y + 16= 0

-x + 2y = -16

leading coefficient can't be negative

so multiply everything by -1

x -2y = 16

Answer:

1 yes   no

Step-by-step explanation:

1 this is in standard form as it is  a linear form and the intercepts can be found  

2 This is not  in standard form as it is a linear equation and both the x and y intercepts cant  be found  so must be written in the form AX+BY=C

so

-x + 2y = -6

and leading coefficient cant be - so multiply by -1

so

x-2y=6

Answer:

5 1/3

Step-by-step explanation:

Answer:

5 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's first have a look at the basic trigoniometric statements, which say the following:

\(\sin( \alpha ) = \frac{opposite \: side}{hypotenuse} \\ \cos( \alpha ) = \frac{adjecent \: side}{hyptenuse}\)

When we're looking from the point of view of angle G, we have the following data:

Since the hypotenuse is 17

adjacent is 8,

the value of the opposite is x:

Let the side be x

\(x^2 = 17^2 - 8^2\\\\x^2 = 289 - 64\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15\)

- The length of the opposite side is 15

- The length of the adjecent side is 8

- The length of the hypotenuse is 17

Now plug in this data into our general formulae.

\(\sin(g) = \frac{15}{17} \\ \cos(g) = \frac{8}{17}\)

Hence, answer B. is correct.

~ Hope this helps you!

Answer: 15/17

Step-by-step explanation:

Cos A = 8/17

Recall that cos = adjacent/hypotenuse

Since the hypotenuse is 17 and the adjacent is 8, the value of the opposite which is the remaining side of the triangle will be:

Let the side be x

x² = 17² - 8²

x² = 289 - 64

x² = 225

x = ✓225

x = 15

The remaining side has a value of 15

Recall that sin = opposite/hypotenuse

Sin A = 15/17

Answer:

f(2) = 32

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + 2x + 16

f(2) is x = 2

Step 2: Evaluate

And we have our answer!

We will have the following:

We will calculate the total charge as follows:

So, the total charge will be:

So, the total charge is approximately $352.

It sounds like you may be experiencing a bug with your Alexa device. This is likely due to a software update or miscommunication between the device and the server.

To resolve this issue, you may need to restart your device by unplugging it from the power source and plugging it back in. You can also try clearing the cache of your device. Additionally, you may need to update the software of your device by visiting the Amazon website and downloading the most recent version of the software. If the issue persists, you may need to contact Amazon customer service for further assistance.

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Answer:

30 cents

Step-by-step explanation:

24=1.20

6=x

Algebra here to solve.

1.20=24

x=6

Divide by 4

1.20÷4=$0.3

$0.3=30 cents

Using sampling concepts, the population being studied is all visitors that are flying to the state of Hawaii.

The problem is incomplete, but researching it on a search engine, it asks for us to identify who is the population of this study.

In this problem, a set of visitors traveling to Hawaii were sampled, hence the population being studied is all visitors that are flying to the state of Hawaii.

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Step 1. The two functions we have are:

And we are asked to find the composite function f(g(x)) and the domain.

Step 2. The function that we need to find is:

To find this, we substitute g(x) into the x value of f(x):

Step 3. Simplifying:

The square root and the power of two cancel each other

Distributing the multiplication by 2:

Combining the like terms:

Step 4. Find the domain. The domain is the set of possible values that the x variable can take.

Remember the two original functions:

for f(x) x can take any value. But for g(x) the square root cannot be a negative number, therefore, x-2 has to be equal to or greater than 0:

Solving for x:

This domain also applies to the composite function f(g(x)), and it can be written as follows:

Answer: Option four

The distance that should be drwan on a scale plan of 1:100000 is = 32m

Distance can be defined as the area that is covered by the movement of an object without reference to its direction.

From the scale given,

1cm : 100000cm on the scale plan of the map

The given distance = 32km

Convert km to cm by multiplying by 100000

32km = 32× 100000 = 3,200,000

To determine the equivalent ratio,

1 cm = 100000

n cm = 3,200,000

n cm= 3,200,000/100000

n cm= 32cm

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In this cases, The two angles of elevation are 36° and 144°

To find the two angles of elevation for a projectile to reach a target 13 km downrange with an initial speed of 425 m/sec, we can use the projectile motion formula:

range (R) = (v² * sin(2 * angle)) / g

where v is the initial speed (425 m/sec), angle is the angle of elevation, and g is the acceleration due to gravity (approximately 9.81 m/s²).

We need to solve for angle.

First, convert the range to meters:

13 km = 13,000 m.

Next, plug the values into the formula:

13,000 = (425² * sin(2 * angle)) / 9.81

Now, solve for angle:

sin(2 * angle) = (13,000 * 9.81) / 425²

sin(2 * angle) ≈ 0.7387

Now, find the two angles using the arcsin function:

2 * angle = arcsin(0.7387)

angle = 0.5 * arcsin(0.7387)

There are two angles that will result in the same range:

angle_1 = 0.5 * arcsin(0.7387)

angle_2 = 180 - angle_1

Calculating the values:

angle_1 ≈ 36° angle_2 ≈ 144°

So, the two angles of elevation that will enable a projectile to reach a target 13 km downrange on the same level as the gun with an initial speed of 425 m/sec are approximately 36° and 144°.

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Implementing an expansion strategy, attracting capital, lowering tax obligations, facilitating entry into a business, and utilizing limited liability are all options are correct.

In most cases, a corporation is set up to benefit from restricted liability. This indicates that the shareholders, who are the corporation's owners, are not personally liable for the debts and liabilities of the business. The additional reasons you have provided for forming a corporation are also viable possibilities, but they are not its main objective. Establishing a corporation might be one approach to carry out an expansion strategy, which is a company's plan for growth and expansion.

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Answer:

\(\Large \boxed{\sf Cylinder}\)

Step-by-step explanation:

Answer: That's a cylinder

Step-by-step explanation: This was really simple- please work on your shapes.. a lot.

Here's the definition of a cylinder: a three-dimensional figure with two parallel, congruent, circular bases and a curved surface.

Hope this helps you

The ways that can be used to solve a quadratic equation include:

Factorization

Using the quadratic formula.

Completing the squares.

It should be noted that a quadratic equation simply means an algebraic equation of the second degree in x.

Here, the factorization, using the quadratic formula, and completing the squares method can be used.

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a) Value of the test statistic is 1.54.

b) Range for the p-value is: 0.050 < p-value < 0.100

c) Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

d) Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

(a) To compute the value of the test statistic, we use the formula:

t = (x - μ) / (s / √n)

where;

x is sample mean

μ is hypothesized population mean

s is sample standard deviation

n is sample size.

Plugging in the given values, we get:

t = (14 - 12) / (4.54 / √25) ≈ 1.54

So the value of the test statistic is 1.54.

(b) To compute the p-value, we need to find the area under the t-distribution curve to the right of the test statistic. Using a t-table with 24 degrees of freedom (df = n - 1 = 25 - 1 = 24), we find that the closest value to 1.54 is 1.711.

The area to the right of 1.711 is between 0.05 and 0.10, so the range for the p-value is:

0.050 < p-value < 0.100

(c) At α = 0.05, the p-value (0.050 < p-value < 0.100) is greater than α, so we do not reject the null hypothesis. The conclusion is:

Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

(d) The rejection rule by using of the critical value is:

If t ≤ tα,df, reject H0.

If t > tα,df, do not reject H0.

At α = 0.05 and df = 24, the critical value (from a t-table) is 1.711. Since the calculated test statistic (1.54) is less than the critical value (1.711), we do not reject the null hypothesis. The conclusion is the same as in part (c):

Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

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Answer:

B) 16/20

Step-by-step explanation:

sin∅=opposite/hypotenuse

sin∅=16/20

Therefore, your answer is B.

Answer:

(12/16)

Step-by-step explanation:

The probability that the team will win the second game given that they have already won the first game is 7/10

Event win in the 1st game is represented with A

Event win in the 2nd game is represented with B

In the question

i. The probability that they will win both games is P(AnB) = 42%

ii. The probability that they will win the first game is P(A) = 60%

The probability that the team will win the second game given that they have already won the first game is:

P(B/A) = P(BnA) / P(A)

P(B/A) = P(AnB) / P(A)

From the question

P(B/A) = 42% / 60%

P(B/A) = 0.42 / 0.60

P(B/A) = 7/10

In conclusion: The probability that the team will win the second game given that they have already won the first game is 7/10

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Answer:

I guess when copying an angle you want to make sure that the measures are even and are the same as the first angle.

Step-by-step explanation:

???

The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point. The statement is true.

A straight line that crosses a curve at two or more points is known as a secant line. The given point (8, p(8)) in this instance is on the curve and the line. As a result, the secant line to the curve at that point is the line that intersects the curve at (8, p(8)).

Let's think of an example to help further clarify this idea. Let's say we wish to locate the secant line to a curve at the point (8, p(8)) where the equation \(y = x^2\) defines the curve.

We must first determine the secant line's slope. The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):

slope= (y2 - y1) / (x2 - x1).

The two points in this case are the curve's second point and (8, p(8)). We can select a different point on the curve, such as (4, p(4)), to get the slope.

slope = (p(4)-p(8)) / (4 - 8)

Next, we evaluate the function at these points:
\(p(4) = 4^2 = 16\\p(8) = 8^2 = 64\)

Substituting these values into the slope formula:
slope = (16 - 64) / (4 - 8)
     = -48 / -4
     = 12

Now that we have the slope, we can write the equation of the secant line using the point-slope form:
y - y1 = m(x - x1)

Substituting the values (8, p(8)) and slope = 12 into the equation:
y - p(8) = 12(x - 8)

Simplifying the equation:
y - p(8) = 12x - 96

This is the equation of the secant line to the curve at the point (8, p(8)).

In conclusion, the statement is true. The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point.

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Answer:

  x < -3 or x > 4

Step-by-step explanation:

The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).

The factors tell you the following about the zeros:

  x = -3 . . . sign change from + to -

  x = -1 . . . graph touches, but no sign change. - on either side of x=-1

  x = 4 . . . sign change from - to +

__

The function will be positive for x < -3 and for x > +4.

_____

Additional comments

The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.

However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.

The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).

Answer: Ima go on a limb here i looked at it and from my perspective i think its the last two I would not know how to explain if im correct you dont need to brainlest.

Step-by-step explanation:

The subtraction problem represented by the fraction model is given above.

Given is a figure as shown in the image.

We can write the fractional problem as -

" A rectangle is divided into eight equal rectangles. Smith colored six of these rectangles. How much percentage fraction of the image is colored."

Therefore, the subtraction problem represented by the fraction model is given above.

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The upper and lower 3-sigma control chart limits for this DNA sample data are UCL = 18.53 and LCL = 0

When we are given data on the DNA samples taken over the past 10 days, we can calculate the upper and lower 3-sigma control chart limits. The sample size is 100, and the defective number of DNA samples is given for each of the ten days.

The 3-sigma control limits for a process control chart can be calculated using the following formula: Upper control limit (UCL) = Mean + (3 × Standard Deviation) and Lower control limit (LCL) = Mean - (3 × Standard Deviation),where the mean is the average value of the data, and the standard deviation is the spread of the data around the mean.

Here, we need to calculate the mean and standard deviation of the defective samples for the past 10 days. The average number of defectives per day (mean) is (7+9+9+11+7+8+0+11+13+2) / 10 = 77 / 10 = 7.7

To calculate the standard deviation, firstly, calculate the variance: variance = sum of the squared differences from the mean divided by the number of samples = \([(7-7.7)^2 + (9-7.7)^2 + ... + (2-7.7)^2] / 10\)  ≈ 13.01 2.. Now, take the square root of the variance which gives standard deviation. So, standard deviation = \(\sqrt{13.01\\}\) ≈ 3.61

Using the 3-sigma rule UCL = Mean + (3 * Standard Deviation) = 7.7 + (3 * 3.61) ≈ 18.53    and   LCL = Mean - (3 * Standard Deviation) = 7.7 - (3 * 3.61) ≈ -3.13. However, since the LCL cannot be negative, we set it to 0 in this context. So, the upper and lower 3-sigma control chart limits are: UCL = 18.53 LCL = 0

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Answer:

152

Step-by-step explanation:

the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160

the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216

the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152

Step-by-step explanation: