I would appreciate some help starting this worksheet with the first problem. How do I find the missing angle measure (x)? With three possible answers, 10.6, 11.8, and 12.1.​

Answer: C) 50

Step-by-step explanation:

The smallest number on the plot is 43.  The largest is 93.  The range of a chart is the largest number - the smallest number.  Thus, simply do 93-43 to get 50.

Hope it helps <3

Answer:

C. 50

Step-by-step explanation:

Range is the highest value minus the lowest value:

Highest value: 93

Lowest value: 43

93 - 43 = 50

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You would need to purchase approximately 85 gallons of gas to make the trip to see your friends and return home.

To determine the number of gallons of gas needed for the trip to see your friends and return home, you can follow these step-by-step calculations:

Calculate the total distance of the round trip:

Since the distance to your friends' place is 850 miles, the round trip would be twice that distance, which is 850 miles × 2 = 1700 miles.

Determine the number of gallons of gas required:

Divide the total distance of the round trip by the car's mileage per gallon. In this case, since your car gets about 20 miles per gallon, you would divide 1700 miles by 20 miles per gallon:

1700 miles ÷ 20 miles per gallon = 85 gallons.

Therefore, you would need to purchase approximately 85 gallons of gas to make the trip to see your friends and return home.

It's important to note that this calculation assumes a constant fuel efficiency of 20 miles per gallon throughout the entire trip. In reality, factors such as driving conditions, speed, and traffic may affect the actual mileage you achieve.

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A graph of each inequality is shown in the grid below.

A shape which the solution region represent is a rectangle.

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;

0.4r ≤ 120     .....equation 1.

r ≥ 4(360/5)    .....equation 2.

By evaluating the given system of inequalities, we have;

r ≤ 120/0.4

r ≤ 300

r ≥ 4(360/5)

r ≥ 4(72)

r ≥ 288

By combining the system of inequalities, we have:

288 ≤ r ≤ 300

Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region between the solid line, and the point of intersection of the lines on the graph representing each.

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Answer:

Systematic Sampling

Step-by-step explanation:

According to the Question,

So, systematic sampling is right Answer.

Answer:

Systematic Sampling

Step-by-step explanation:

What type of sampling did the daycare operator use Systematic Sampling.

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

Given that Frame zero, F0 is the fixed global frame.

For each of the cases below find T1

Case (a)

F1 is rotated by an angle θ about zo.

Let O be the origin of the fixed frame F0, A be the origin of the frame F1 and α be the angle between the x-axis of the frame F0 and the projection of the x-axis of the frame F1 on the xy plane of the frame F0.

Let l, m, n be the direction cosines of the vector from O to A, expressed in F0.

The content-loaded frame zero F0 is the fixed global frame, which means that the vectors i, j, k representing the x, y, and z-axis of F0 are fixed and cannot be transformed.

Therefore, the transformation matrix T1:0

in this case is:

`T1:0 = [l1 m1 n1 0; l2 m2 n2 0; l3 m3 n3 0; 0 0 0 1]`

Case (b)

F1 is rotated by θ about xo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

Case (c)

F1 is rotated by θ about yo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Thus, the transformation matrix T1:0

for the three cases (a), (b), and (c) are given as follows:

(a) `T1:0 = [cosθ sinθ 0 0; -sinθ cosθ 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

(c) `T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Given θ = 150,

T1:0 for the three cases are:

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

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Answer:

B

Step-by-step explanation:

Fill the 3-gallon jug all the way.

Pour those 3 gallons of water into the 5-gallon jug.

Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).

Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.

Empty the 5-gallon jug.

Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.

Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1 gallon already in there, and leaves you with exactly 4 gallons.

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Fill the 3-gallon jug all the way.

Pour those 3 gallons of water into the 5-gallon jug.

Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).

Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.

Empty the 5-gallon jug.

Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.

Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1-gallon already in there, leaves you with exactly 4 gallons.

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Answer:

Step-by-step explanation:

Parallel lines have same slope

Given line is

Parallel line will be

Get the value of b using the point (-3, -2):

So the line is

Answer:

y = 1/3x - 1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The Y intercept is 2.

You can figure this out by looking at the Y line (the vertical one) and seeing theres a point exactly on 2, when the X number is at 0.

2

Hope it helps.

Do comment if you have any query.

The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 2x+4y+z = 2.

and given F = 1i + 1j + 2k

divG = div(2x+4y+z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA

φ = ∫ (2 + 4 + 2)dA

= 8∫dA

A = 1/2 XY (on the given x-y plane)

2x+4y =2

at x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Therefore flux = 8*1/4 = 2

φ = 2.

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Answer:

4/13

Step-by-step explanation:

probability = # of favorable outcomes / total # of possible outcomes

here, we want to find the probability of picking a 6 or a face card.

so we have # of favorable outcomes = # of 6's + # of face cards

and # of possible outcomes = total # of cards.

there are 4 of each card , so there are 4 6's

there are 3 different face cards, a jack, a queen and a king ,

if there are 4 of each card then there are a total of 3 x 4 = 12 face cards.

our # of favorable outcomes = 12 + 4 = 16

in a standard deck there are 52 total cards so # of possible outcomes = 52

the probability of picking a 6 or face card would be 16/52 which simplifies to 4/13

The perimeter of a parallelogram with a side of length 8 feet is 24 feet.

Perimeter of a Parallelogram Formula

Let “a” and “b” be the sides of a parallelogram. Therefore, the perimeter of a parallelogram formula is as follows:

We know that the opposite sides of a parallelogram are parallel and equal to each other. Thus, the formula for finding the perimeter of a parallelogram is given by:

So, the perimeter of Parallelogram, P = a + b + a + b units

P = 2a +2b

P = 2(a+b)

Therefore, the perimeter of a parallelogram, P = 2(a+b) units

Hence , the perimeter of a parallelogram with a side of length 8 feet is 24 feet.

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Answer:

57 units

Step-by-step explanation:

So the step is we need to find out the scale factor

And the scale factor is 24/8 =3

So the parameter of ANG is

19×3

=57

To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

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Answer:

I think the answer is 2/11.

Answer:

maybe 1/66

Step-by-step explanation:

??? sorry if im wrong

The function in standard form that can be identified by rearranging the equation to have the terms in descending order of the degree is:

\(3x^2 + 6x - 12 = 0 \\3x^2 + 2x + 10 = 0 \\5x^2 - 10x + 5 = 0 \\2x^2 - 4x + 6 = 0\)

The function in standard form can be identified by rearranging the equation to have the terms in descending order of the degree. Let's analyze each equation:

\(3x^2 + 6x - 12 = 0\)

The equation is already in standard form with the terms arranged in descending order of degree.

\(3x^2 + 2x + 10 = 0\)

The equation is already in standard form with the terms arranged in descending order of degree.

\(5x^2 - 10x + 5 = 0\)

The equation is not in standard form as the terms are not arranged in descending order of degree. We need to rearrange the terms to obtain the standard form.

\(5x^2 - 10x + 5 = 0\) can be rewritten as:

\(5x^2 + (-10x) + 5 = 0\)

Rearranging the terms:

\(5x^2 - 10x + 5 = 0\\2x^2 - 4x + 6 = 0\)

The equation is not in standard form as the terms are not arranged in descending order of degree. We need to rearrange the terms to obtain the standard form.

\(2x^2 - 4x + 6 = 0\) can be rewritten as:

\(2x^2 + (-4x) + 6 = 0\)

Rearranging the terms:

\(2x^2 - 4x + 6 = 0\)

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The true statements are the equation of the function is y=4x+4, the relation is a function, the graph is linear.

The equation of the function start by calculating the slope (m)

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis. The slope of a line is defined as the change in the "y" coordinate with respect to the change in the "x" coordinate of that line.

The formula to calculate slope is given as,

where, m is the slope of the line, x1, x2 are the coordinates of the x-axis, and y1, y2 are the coordinates of the y-axis.

m=\(\frac{12-8}{2-1}=4\)

m=4

The equation is then calculated as:

So, we have

y=4(x-1)+8

y=4x-4+8

y=4x+4

Therefore, the equation is 4x+4. Hence the statement is true.

(b) The graph is nonlinear.

Because of (a) above, the graph is linear.

(c) The relation is a function

A linear relation is a relationship or connection between two variables that will produce a straight line when graphed. There will be times when the data points are scattered and do not form an absolutely straight line. When it appears that the scattered points resemble a straight line,

Hence, the given relation is function then the statement is true.

Therefore, the equation of the function is y=4x+4, the relation is a function, the graph is linear.

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Number of squares(x)        Perimeter(y)

1                                             8

2                                            12

3                                            16

4                                            20

Complete Question: What is the relationship between the number of squares, x, and the perimeter, y, of the rectangles they form?

Answer: The relationship between the number of squares, x, and the perimeter of the rectangles  can be expressed as a  y = 5.1%x. This equation states that for every one square, the perimeter will increase by 5.1%.

To calculate the perimeter of a rectangle with x number of squares, the following calculation can be used: y = 5.1%x = 0.051x. This equation can be rearranged to solve for x: x = y/0.051.

For example, if the perimeter of the rectangle is 10, the number of squares, x, can be calculated as follows: x = 10/0.051 = 196.08. This indicates that the rectangle will have 196 squares.

Therefore, the relationship between the number of squares, x, and the perimeter, y, of the rectangles they form can be expressed as y = 5.1%x, or x = y/0.051.

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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Answer:

55/7 in simplest form is 7 6/7

Note that where there's a moderate positive correlation between the length of a child's hair and the amount of time it takes for the child to run 100 meters, then the statement that is TRUE is: "The correlation is most likely due to a lurking variable." (Option B).

A correlation does not imply causation, and a moderate positive correlation is not enough to establish a causal relationship between two variables.

It is possible that the correlation is due to an underlying factor (lurking variable) that affects both the length of the child's hair and the time it takes for the child to run 100 meters. To establish causality, other methods such as experimental design and statistical analysis are necessary.

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Answer:

18.6

Step-by-step explanation:

We know a side and a angle opposite of that side

(AC and Angle B respectively).

We know another side(AB). and are trying to find a angle opposite of it.

Let use Law of Sines rules.

\( \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} \)

Substitute the values in.

\( \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } \)

Solve for sin x by taking the reciprocal of both sides.

\( \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} \)

Remeber sin 90 =1 and multiply 7 by both sides.

\( \frac{1}{22} \times 7 = \sin(x) \)

Take the inverse of sin to find the angle measure.

\( \sin {}^{ - 1} (x) = \frac{7}{22} \)

The answer is

18.6

answer:

f(x)=2x-10

y=2x-10

interchanging value of x and y,

x=2y-10

y=(x+10)/2

so inverse of given function is (x+10)/2

Answer:

Step-by-step explanation:

h(x) = one-halfx – 5

The value of the integral is 2/pi. Therefore, the answer is:2/pi

To evaluate this integral in the order dx dy:

We need to determine the limits of integration.

Since there are no explicit limits given, we can look at the function y cos(xy) to see when it is non-zero.

This occurs when cos(xy) is non-zero, which happens when xy is an odd multiple of pi/2.

Therefore, the limits of integration for x are (-pi/2y, pi/2y), and the limits of integration for y are (0, 1).

Now, we can evaluate the integral:

∫∫R y cos(xy) dA = ∫0^1 ∫-pi/2y^pi/2y y cos(xy) dx dy
= ∫0^1 [sin(pi/2y) - sin(-pi/2y)] dy
= ∫0^1 2 sin(pi/2y) dy
= 2/π

Therefore, the answer is 2/pi.

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True. Pointer arithmetic is a way of performing arithmetic operations on pointers, which are variables that hold memory addresses.

When a pointer points to a specific element in an array, the value of the pointer is the memory address of that element. If we add or subtract an integer value n to the pointer using the arithmetic operators + or -, the resulting pointer points to an element that is n positions away from the original element in the array.
For example, if we have an array of integers and a pointer ptr that points to the first element of the array, then ptr + 2 would point to the third element of the array because we added 2 to the memory address of the first element. Similarly, ptr - 1 would point to the last element of the array, because we subtracted 1 from the memory address of the first element.
It's important to note that pointer arithmetic is only valid within the bounds of the array. If we try to access memory outside of the array, we may get undefined behaviour or a segmentation fault. It's also important to be careful when using pointer arithmetic, as it can be easy to introduce bugs if we don't keep track of the size and type of the elements in the array.

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Answer: x = -6

Step-by-step explanation:

alright so you have 5 x's and 2 ones. so that equation is

5x + 2 = 6x + 8

as you would with a regular equation, get x on one side of the equation by itself by getting the other x to one side and subtracting what is around it.

x = -6

Answer:

C.

Step-by-step explanation:

The number of units per minute produced are 4 units.

Given data:

To determine the number of units that can be produced per minute, calculate the production rate.

Total time available: 60 seconds

Cycle time: 15 seconds

To find the production rate, calculate how many cycles can be completed in 60 seconds and then convert it to units per minute.

Number of cycles in 60 seconds = 60 seconds / 15 seconds = 4 cycles

Since each cycle produces one unit, the number of units produced in 60 seconds is 4 units.

On simplifying the equation:

To convert it to units per minute, multiply the number of units produced in 60 seconds by the ratio of 60 seconds to 1 minute:

Units per minute = (4 units / 60 seconds) * (60 seconds / 1 minute) = 4 units/minute

Hence, the production rate is 4 units per minute.

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