Find the value of x.
Show work. please help

Answer:

19/36.

Step-by-step explanation:

Shane’s average was 19/36 jumps completed. Here is the equation: (2/3+4/6+1/4) / 3 =a . 4/6 is = ⅔, so ⅔ + ⅔ = 4/3. ¼ is equal to 3/12 and 4/3 is equal to 16/12, and 16/12 + 3/12=19/12. 19/12 divided by three is 19.36, because it is.

Answer: 19/36

Step-by-step explanation:

A mean equation is hidden in this word problem. Focus on the 2 out of 3, 4 out of 6, and 1 out of 4. Those numbers are actually fractions. Shane managed to complete 2/3 of the jumps on the lowest bar, he managed to complete 4/6 of the jumps on the middle bar, and 1/4 of the jumps on the highest bar.

Step 1: Write the mean equation

(2/3 + 4/6 + 1/4)/3 = x

Step 2: Find the common denominator

3, 6, and 4 are all factors of 12, so 12 is your common denominator

4(2/3) = 8/12

2(4/6) = 8/12

3(1/4) = 3/12

Now rewrite the equation with the common denominator

(8/12 + 8/12 + 3/12)/3 = x

Step 3: Sum the fractions

(19/12)/3 = x

Step 4: I

Invert and multiply

(19/12)/3 = 19/12 * 1/3 = 19/36

This is your answer.

To put the scores in order using minimum, maximum, and range, we first need to determine the values of each. The minimum score is 9, the maximum score is 24, and the range is 15.

Therefore, we can arrange the scores in ascending order as follows:

9, 14, 15, 17, 17, 21, 22, 23, 24

The minimum score of 9 represents the lowest score that Dawn received during the game. The maximum score of 24 represents the highest score that she received. The range of 15 represents the difference between the highest and lowest scores.

Knowing the minimum, maximum, and range can provide valuable information about a data set, as it allows us to see the spread of the scores and the range of values that the data encompasses.

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Answer:

B) 1/4 x 88

Step-by-step explanation:

25%=25/100=1/4

25% of 88, of is basically multiplication

=1/4 x 88

The following ways of measuring weight loss are more appropriate than correlation, i.e.,Skin calipers, Impedance scales, DEXA scanning, Body measurements.

Calories factor into the equation while trying to maintain a healthy weight. The key to losing weight is to burn more calories than you consume. You may do this by consuming fewer calories than you need and increasing the number of calories you burn via physical exercise.

A realistic, efficient, and lasting weight loss plan might be difficult to follow even if it may appear straightforward.

You don't have to do it by yourself, though. Seek advice from your doctor, family, and friends. Consider whether this is the right time and whether you're prepared to make the essential changes. Plan wisely as well: Consider how you'll respond to circumstances that put your determination to the test and the inevitable slight setbacks.

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To conclusively test the hypothesis "among these four people, those above age 30 definitely have feature a", you need to gather age and feature A information for Anne, Bob, Charlie, and Daniel.

You have the ages of Anne (35) and Bob (24) and feature A status of Charlie (has feature A) and Daniel (doesn't have feature A). You need to ask Anne and Bob about their feature A status and Charlie and Daniel about their ages.


1. Ask Anne if she has feature A.
2. Ask Bob if he has feature A.
3. Ask Charlie his age.
4. Ask Daniel his age.

After obtaining the missing information, compare it with the hypothesis to check if it holds true. The hypothesis will be true if both people above 30 years of age have feature A, and the others do not.

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The surface area of the trapezoidal prism is 375 square meters

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

The trapezoidal prism

The surface area of the trapezoidal prism is calculated as

Surface area = Sum of areas of shapes that make up the prism

So, we have

Surface area = 2 * 1/2 * (5 + 15) * 7 + 5 * 5 + 2 * 6 * 10 + 6 * 15

Evaluate

Surface area = 375

Hence, the area is 375 square meters

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The amount of juice that was poured for each kid is 30.94 ounces

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

Juice container =48.2 ounces

Anna = 18.86 ounces

Her brother = 12.08 ounces

The amount of juice that was poured for each kid is

Total = 18.86 ounces + 12.08 ounces

Evaluate

Total = 30.94 ounces

Hence, the amount poured for each kid is 30.94 ounces

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Beta decay is a type of radioactive decay that occurs in certain atomic nuclei. It involves the transformation of a neutron or proton within the nucleus into the other.

In the case of Lanthanum-144 (La-144), a neutron undergoes beta decay to convert into a proton, resulting in the formation of Cerium-144 (Ce-144).

The equation for the beta decay of La-144 into Ce-144 is as follows:

La-144 → Ce-144 + β¯

In this equation, the La-144 nucleus decays into the Ce-144 nucleus. To conserve charge, a beta particle (β¯) is emitted. The beta particle can be either an electron (β-) or a positron (β+), depending on the specific type of beta decay occurring in the nuclide.

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Step-by-step explanation:

when we buy something, we have to give money away from the amount we possess.

so,

12 - 7.5 - 3.75 = $0.75

so, he is left with the change of $0.75 after these two purchases.

A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."

An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.

Some key features regarding the F-statistics are-

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Answer:

the angle are 50, 47, 83

Step-by-step explanation:

we know that the sum of the three angles of the triangle is 180 degree

now, 4x+22+3x+26+9x+20=180

x=7

the angle are 50, 47, 83

The equation of the line in slope intercept form is y = (-4/3)x   .

In the question ,

a line graph is given ,

we need to find the equation of that line .

the two points that are given on the line graph are (-3 , 4) and (0 , 0) ,

the equation of the line passing from the points (x₁ , y₁) with slope m  in the slope intercept form is given by

(y - y₁) = m(x - x₁) .

we first need to find the slope .

So , m = (0 - 4)/(0 + 3)

m = -4/3

The equation of the line passing from the points (-3 , 4) with slope -4/3 , in the slope intercept form is

(y - 4) = (-4/3)(x -(-3))

y - 4 = (-4/3)(x + 3)

y - 4 = (-4/3)x - 4

y = (-4/3)x - 4 + 4

y = (-4/3)x

Therefore , The equation of the line in slope intercept form is  y = (-4/3)x  .

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Answer:

25%

Step-by-step explanation:

find the differences between original price $4000 and the altered price $5000.

$5000 - $4000 = $1000

to find the tax percent charged, take the difference price, divide by the original price and multiply with 100, ( to find percentage, it is a must to multiply with 100 ).

1000/4000 x 100

= 25%

so you will get 25 %

The random variable X represents the product of the number of heads obtained when tossing a coin three times and the number of spots on a die when rolled.

We need to determine the values of X for three specific scenarios: X(HHT6), X(TTT4), and X(HTT3). In the case of X(HHT6), we have two heads and the die shows a 6. Therefore, X(HHT6) = 2 × 6 = 12.

For X(TTT4), there are no heads obtained and the die shows a 4. Consequently, X(TTT4) = 0 × 4 = 0.

Lastly, for X(HTT3), we have one head and the die shows a 3. Hence, X(HTT3) = 1 × 3 = 3.

To determine these values, we multiply the number of heads by the number of spots on the die. In the case of X(HHT6), there are two heads and the die shows 6, resulting in X(HHT6) = 2 × 6 = 12. Similarly, X(TTT4) is calculated by multiplying zero heads with the value of the die, which is 4, giving X(TTT4) = 0 × 4 = 0. Finally, X(HTT3) is found by multiplying one head with the value of the die, which is 3, resulting in X(HTT3) = 1 × 3 = 3.

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Answer: 0.05

Step-by-step explanation:

1) Re-arrange the formula given to find the rate (r)

I = Prt

becomes r = I / Pt

Now we add in the values we know

P = 3000, t = 3 years, I = 450

r = 450 / ( 3000 × 3 )

r = 0.05 or 5% / year

Answer:

B : Length is 12, Width is 9

D: Area is 108

Step-by-step explanation:

Finding x:

Since the Perimeter is 42, subtract 14 from 42 to get 28. Then divide that by 4 to get 7. x = 7. Since x = 7 then 7 + 5 = 12. So the length is 12.

Figuring out the width:

When we find the perimeter we add all the sides, so 12 + 12 = 24 and 42 - 24 = 18. Divide 18 by 2 to get 9 and then add 12 + 12 + 9 + 9 just to check your answer

Since the you know the legnht and width, you now have to multiply them to fine the area. 12 x 9 = 108

Step-by-step explanation:

4z = 8

z = 8/4

z = 2

3x - 2z = 11

3x - 2.2 = 11

3x - 4 = 11

3x = 11 + 4

3x = 15

x = 15/3

x = 5

x - 4y + z = 11

5 - 4y + 2 = 11

-4y = 11 - 5 - 2

-4y = 4

y = 4/-4

y = -1

Solution → {x,y,z} = {5,-1,2}

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Distance from point (3,9,-7) to xy-plane is 7, yz-plane is 3, xz-plane is 9, x-axis, y-axis and z-axis is 0.

What is axis ?

An axis is a line about which a body rotates or a system oscillates. In mathematics and physics, an axis is often represented as a straight line that serves as a reference point for the measurement of coordinates.

The correct answers are :

(a) The distance from the point (3, 9, -7) to the xy-plane is the distance from the point to the z-axis, which is 7, since the xy-plane is at z = 0

(b) The distance from the point (3, 9, -7) to the yz-plane is the distance from the point to the x-axis, which is 3, since the yz-plane is at x = 0

(c) The distance from the point (3, 9, -7) to the xz-plane is the distance from the point to the y-axis, which is 9, since the xz-plane is at y = 0

(d) The distance from the point (3, 9, -7) to the x-axis is the distance from the point to the x-axis, which is 0, since the point is already on the x-axis

(e) The distance from the point (3, 9, -7) to the y-axis is the distance from the point to the y-axis, which is 0, since the point is already on the y-axis

(f) The distance from the point (3, 9, -7) to the z-axis is the distance from the point to the z-axis, which is 0, since the point is already on the z-axis

Distance from point (3,9,-7) to xy-plane is 7, yz-plane is 3, xz-plane is 9, x-axis, y-axis and z-axis is 0.

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Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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Answer:

8

Step-by-step explanation:

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Answer:

Record yourself explaining your thoughts and listen to the recording. Continue re-recording what you say and listening to your recording until it sounds they way you want it to.

The largest open interval where the function is concave upward is (-∞, +∞).

To determine the intervals where the function is changing and the largest open intervals where the function is concave upward, we need to analyze the first and second derivatives of the given functions.

For the function f(x) =\(x^2 + 1:\)

The first derivative of f(x) is f'(x) = 2x.

To find the intervals where the function is increasing, we need to determine where f'(x) > 0.

2x > 0

x > 0

So, the function \(f(x) = x^2 + 1\) is increasing on the interval (0, +∞).

To find the intervals where the function is concave upward, we need to analyze the second derivative of f(x).

The second derivative of f(x) is f''(x) = 2.

Since the second derivative f''(x) = 2 is a constant, the function\(f(x) = x^2 + 1\) is concave upward for all real numbers.

Therefore, the largest open interval where the function is concave upward is (-∞, +∞).

For the function \(f(x) = -\sqrt{(x+3)} :\)

The first derivative of f(x) is \(f'(x) = \frac{-1}{2\sqrt{x+3} }\)

To find the intervals where the function is decreasing, we need to determine where f'(x) < 0.

\(\frac{-1}{2\sqrt{x+3} }\) < 0

There are no real numbers that satisfy this inequality since the denominator is always positive.

Therefore, the function f(x) = -\sqrt{(x+3)}  is not decreasing on any open interval.

To find the intervals where the function is concave upward, we need to analyze the second derivative of f(x).

The second derivative of f(x) is \(f''(x) = \frac{1}{4(x+3)^{\frac{3}{2} } }\)

To find where the function is concave upward, we need f''(x) > 0.

\(\frac{1}{4(x+3)^{\frac{3}{2} } }\) > 0

Since the denominator is always positive, the function is concave upward for all x in the domain.

Therefore, the largest open interval where the function is concave upward is (-∞, +∞).

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Answer:

5 hours

Step-by-step explanation:

To figure this out we will do the total she earned yesterday divided by the hours she worked. So, 84/7=12. So know we know how much she earns in an hour, $12. So if she is earn $60 today then we should do 60/12 to figure out how many hours she worked. 60/12=5. So she worked 5 hours.

I hope this helps!!!

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= Ratio of minutes to miles in which Samuel drove = 28 : 32

= Ratio of minutes to miles in which Beverly drove = 42 : 48

To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .

= 28 : 32 = 28/32

= 28/32

Both the numerator and the denominator is divisible by 4 .

= 28 ÷ 4 / 32 ÷ 4

= 7/8 = 7 : 8

Samuel = 7 : 8

Beverly = 42 : 48 = 42/48

= 42/48

Both the numerator and the denominator is divisible by 6 .

= 42 ÷ 6 / 48 ÷ 6

= 7/8

Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8

Answer:

7:8 7:8

Step-by-step explanation:

if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.