Select the correct answer,
Sam plans to use a spinner to choose which friend to invite to the movies, and he wants each friend to have a fair chance of being selected.
Dean
Carl Bart
Alec Dean
Alec
Bart
Carl
Dean Alec
Bart Carl
Spinner 1 Spinner 2
Which spinner should Sam use?
ОА
spinner 2
ОВ.
spinner 1
Ос.
either spinner 1 or spinner 2
OD
neither spinner 1 nor spinner 2

Answer:

5 seconds

Step-by-step explanation:

(60 / seconds = GPM)

60 / 5 = 12 GPM

12 GPM = 60 seconds

Simplified

1 Gallon is 5 seconds

Answer:

5

Step-by-step explanation:

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer: 168

Step-by-step explanation:

First, let's count the types of selection:

We can select:

Type of car: a compact car, a midsize, a sport utility vehicle, and a light truck (4 options)

Pack: standard, custom, or sport styling, (3 options)

type of transmission: Manual or automatic (2 options)

Color: (7 options)

The total number of combinations is equal to the product of the number of options in each selection:

C = 4*3*2*7 = 168

Yes, because no x values repeat.

Answer:

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer:

175,208 square units

Step-by-step explanation:

Lets calculate the width first:

464 + 26 - 6 = 484

The area is equal to the length times the width, so

362 x 484 = the area

= 175,208 square units

Answer:

83 \(\frac{8}{10}\) π cm3

Step-by-step explanation:

\(\frac{1}{3}\) π (\(4^{2}\))(5) = 83.7758040957

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

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The classification of the angles are;

a) ∠3 and ∠5; Alternate Angles

b) ∠1, ∠2 and ∠3; three interior angles of a triangle.

c) ∠2 and ∠3; Complementary angles

d) ∠4 and ∠5; Supplementary angles

We know that the sum of angles in a triangle is 180 degrees and as such it means that ∠1, ∠2 and ∠3 are classified as three interior angles of a triangle.

We know that alternate angles are defined as angles that occur on opposite sides of the transversal line and have the same size. Thus;

∠3 and ∠5 are alternate angles.

Since ∠1 is 90 degrees, then it means that ∠2 and ∠3 are complementary angles.

Similarly, ∠4 and ∠5 are called supplementary angles because they sum up to 180 degrees.

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Answer:

Hi there!

Your answer is:

17.5 lbs apples

Step-by-step explanation:

1 basket = 2.5lbs apples

×7

7 basket = 17.5 lbs apples

Hope this helps

An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

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Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

The formula is y = mx + b

m being the slope, rise over run. And b being the y-intercept. Right off the bat we can visually see the y-intercept is -4.

To find slope, we need to take two sets of coords and apply the slope fomula. The slope fomula is change in y divided by the change in x. The function itself is straight, so that means the slope will be the exact same no matter which points you choose.

(4, -1) and (8, 2) are coords on the line. Do 2 - (-1) to get 3. then do 8 - 4 to get 4. Finally, we just gotta do 3/4 which is simply \(\frac{3}{4}\).

We have the slope of 3/4 and we have the y-intercept of -4. Just plug it in the standard formula of y = mx + b to get:

\(y=\frac{3}{4} x-4\)

By composite compostion f(x) = 5x-6 and f⁻¹(x) = (x+6)/5 are inverse functions

A function is a relationship between inputs where each input is related to exactly one output.

Given: f(x) = 5x-6 and f⁻¹(x) = (x+6)/5

To show the inverse relationship exists using composite composition, f(f⁻¹(x)) must be equal to f⁻¹(f(x))

Let's check:

f(f⁻¹(x)) = f((x+6)/5)

Substitute x = (x+6)/5  into  f(x) = 5x-6:

f(f⁻¹(x)) = 5((x+6)/5) - 6

f(f⁻¹(x)) = (x+6)- 6

f(f⁻¹(x)) = x

Also,

f⁻¹(f(x)) = f⁻¹(5x-6)

Substitute x = 5x-6 into f⁻¹(x) = (x+6)/5:

f⁻¹(f(x)) =  ((5x-6)+6)/5

f⁻¹(f(x)) =  5x/5

f⁻¹(f(x)) =  x

Since f(f⁻¹(x)) = f⁻¹(f(x)). Therefore, f(x) = 5x-6 and f⁻¹(x) = (x+6)/5 are inverse functions

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Answer:

\(\frac{cos^{2} \theta + sin\theta}{cos\theta}\)

Step-by-step explanation:

Solving :

The solution of your question is here :)

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

Rolling a even: \(\frac{3}{6} -> \frac{1}{2}\)

Coin on heads: \(\frac{1}{2}\)

\(\frac{1}{2}\)×\(\frac{1}{2} =\frac{1}{4}\)

The required surface area of the prism is 378 square meters.

To find the surface area of the prism, we need to know the dimensions of the prism. Let's call the length, width, and height of the prism l, w, and h, respectively.

Since the prism has right angles between its faces, we know that it is a right rectangular prism.

The formula for the volume of a right rectangular prism is V = lwh, and we know that the volume of the prism is 490m^3. Therefore,

lwh = 490

We are not given any specific values for l, w, or h, so we need to use another piece of information to solve for one of these variables.

The surface area of a right rectangular prism is given by the formula

SA = 2lw + 2lh + 2wh

If we can find the value of one of these dimensions, we can use it to calculate the surface area of the prism

lwh = 490

Since we know that the prism has right angles between its faces, we can assume that its dimensions are integers. We can start by testing integer values for l and w, and see if we can find an integer value for h that satisfies the equation.

For example, if we let l = 7 and w = 10, we get

7 * 10 * h = 490

Simplifying, we get

70h = 490

Dividing both sides by 70, we get

h = 7

Therefore, the dimensions of the prism are l = 7, w = 10, and h = 7.

To find the surface area, we can substitute these values into the formula for SA:

SA = 2lw + 2lh + 2wh

= 2(7)(10) + 2(7)(7) + 2(10)(7)

= 140 + 98 + 140

= 378

Therefore, the surface area of the prism is 378 square meters.

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Answer:

60 hrs

Step-by-step explanation:

50x10=500

so

6x10=60

so that means

It will take her 60 hours :)

Ur welcome!

Answer:

60 hours

Step-by-step explanation:

50 pages of a 500-page book is 10% (500 divided by 50 is 10). That means that 6 hours is also 10% of the time she will read the book.

To get 100% of the time you have to multiply 6 with 10 (multiply 10% with 10 to get 100%). 6 times 10 is 60 hours.

Answer:

$30.25

they each put together $30.25

Step-by-step explanation:

121.00 divided by 4 =

30.25

Answer:

f(x) = - 2x + 4

Step-by-step explanation:

Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.

We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).

So, the new equation would be f(x) = -2x + 4

Step-by-step explanation:

it simply means that g(x) is f(x) just shifted 3 units upwards.

that means nothing else changes, only whatever y result f(x) produces is increased by 3.

so,

g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4

therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.

the slope stays the same (g(x) is simply a parallel line to f(x)).

the y-intercept (the y-value when x = 0) also increases by 3, and is 4.

the x-intercept (the x-value when y = 0) changes :

0 = -2x + 4

2x = 4

x = 2

the x-intercept is 2.

At 17:30 the shipment arrive in Dallas (GMT -6) , if it departs Edmonton (GMT -7) at 14:45 p.m. on Thursday.

The time difference of two zone is -7-(-6) = -1

The shipment departs at 14:45 pm

flight took time = 3:45 min

adding the time = 14:45 + 3:45

                           = 18:30

So it arrived at Dallas at 18:30 according to Edmonton (GMT -7)

It arrived in Dallas according to Dallas (GMT -6) = 18:30 - 1 hour

                                                                                = 17:30

A time zone is a region where everyone adheres to the same standard time for social, business, and legal activities. Because it is simpler for regions that communicate often to maintain the same time, time zones frequently follow national borders and their subdivisions rather than strictly following longitude.

Coordinated Universal Time (UTC), which ranges from UTC12:00 to UTC+14:00, is used to determine all time zones. Most zones have full hour offsets, but some, like those in India, South Australia, and Nepal, have additional offsets of 30 or 45 minutes.

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Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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We have the following kind of parallelograms:

And in the case where A and B are equal, we have a parallelogram that is a rectangle. But for any other combination of A and B, it will not be a rectangle.

From the solution developed above, we are able to conclude that the solution for the present question is:

A parallelogram is SOMETIMES a rectangle

Answer:

First option.

Step-by-step explanation:

The mean of a set of data is all the data added together divided by the total numbers in that data set. So not only do you have to add an additional 45 to the data set, but you also have to divide the total of all the test scores by the total number of test takers which is now 31.

The range of a set of data is rearranging the data set smallest to largest and then subtracting the smallest from the largest value in the data set. Since the mean is 10 it's a small chance that 45 is either smallest or the largest of the set of data. We don't know the median, or the mode of the data set, nor does the question give us the other 30 test scores so it's between the range and the mean.

The most affected with the inclusion of the additional students test score would be the first option or the "mean."

Hope this helps.

Answer:

Option B.)

\( - {2x}^{8} {y}^{18} \)

The equivalent expression of 2(x² – 1) + 3x(x – 4) is 5x² - 12x - 2

Here, we have,

We know that,

The equivalent expression of the expression can be found as follows;

2(x² – 1) + 3x(x – 4)

open the brackets

2x² - 2 + 3x² - 12x

Therefore, let's combine like terms

2x² + 3x² - 12x - 2

Let's do the arithmetic for like terms

2x² + 3x² - 12x - 2

5x² - 12x - 2

Therefore, the equivalent expression of  2(x² – 1) + 3x(x – 4) is

5x² - 12x - 2.

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