In which situation is the distance traveled proportional to time?


A. An airplane landing


B. A soccer ball you kick across a field


C. A person running on a treadmill at 3 mph for 6 minutes


D. A 3-minute ride on a roller coaster

Answer:

Genuilly I think you’re correct

sorry if it wrong

but, it looks correct and I think it’s correct

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

65⁰

Step-by-step explanation:

Take a look for the pict

Or

x+50⁰=115⁰

x= 115⁰-50⁰

x=65⁰

The graph of the solution set of the given inequality can be seen in the image at the end.

Here we have the following inequality:

-0.96 ≥ x*0.3

To solve this, we need to isolate the variable x in one of the sides of the inequality.

To do that, we need to divide both sides by 0.3

-0.96/0.3  ≥ x*0.3/0.3

-3.2 ≥ x

So our variable x is smaller than or equal to -3.2

Then the graph will be a closed circle at x = -3.2 and a line that extends to the left side.

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Answer:

The volume is  9234 ft³

Step-by-step explanation:

The volume of the closet is given by:

v= area of the floor * height of the closet

v=18 ft² * 513 ft

v= 9234 ft³

Answer:7+5y

Step-by-step explanation:

3+4=7

4y+y=5y

The equation 3x - 2 = 3x + 5 has no solution.

To determine the number of solutions for the given equation, we need to examine the equation and check for any inconsistencies. By simplifying the equation, we have 3x - 2 = 3x + 5. Notice that the variable 'x' appears on both sides of the equation.

When we move the variable 'x' to one side, we get 3x - 3x = 5 + 2, which simplifies to 0 = 7. This implies that 0 is equal to 7, which is not true.

Since the equation leads to a contradiction, we can conclude that there are no values of 'x' that satisfy the equation. Therefore, the equation 3x - 2 = 3x + 5 has no solution.

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True. Instantaneous velocity is the rate of change of displacement at a specific instant in time and can be positive, negative, or zero.

Calculating instantaneous velocity involves dividing the displacement change by the time change. A car's instantaneous velocity, for instance, would be 5/3 metres per second if it travelled 5 metres in 3 seconds.The rate of change of displacement at a particular moment in time is known as the instantaneous velocity. It is the speed in an instant at a particular location, and it can be positive, negative, or zero. The change in displacement (delta x) is divided by the change in time to determine instantaneous velocity.  A car's instantaneous velocity, for instance, would be 5/3 meters per second if it travelled 5 meters in 3 seconds.

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Answer:

71,474

Step-by-step explanation:

Took the test

Answer:

The answer is 71,474

Step-by-step explanation: First you must subtract 34,180 from 200,000

200,000 - 34,180 = 165,820.

After that, you divide the answer by N(2.32)

165,820 ÷ 2.32 = 71,474

The marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

In Fig. 13.25, we have two parallel lines AB and CD. We also have a transversal XY that intersects these two parallel lines. We need to find the marked angles, which are 4x and 3x.

Step 1: Identify the pairs of corresponding angles.

The corresponding angles are the ones that are on the same side of the transversal and in the same position with respect to the parallel lines.

The corresponding angles are equal. For example, angle AXY and angle CYX are corresponding angles and are equal. Similarly, angle BYX and angle DXY are corresponding angles and are equal. We can write the corresponding angles as follows: Angle AXY = angle CYXAngle BYX = angle DXYStep 2:Identify the pairs of alternate interior angles.

The alternate interior angles are the ones that are on opposite sides of the transversal and in the same position with respect to the parallel lines.

The alternate interior angles are equal. For example, angle BXY and angle CXD are alternate interior angles and are equal. Similarly, angle AYX and angle DYC are alternate interior angles and are equal. We can write the alternate interior angles as follows:

Angle BXY = angle CXDAngle AYX = angle DYCStep 3:Identify the pair of interior angles on the same side of the transversal. The interior angles on the same side of the transversal are supplementary. That is, their sum is 180 degrees.

For example, angle AXY and angle BYX are interior angles on the same side of the transversal, and their sum is 180 degrees. We can write this as follows: Angle AXY + angle BYX = 180Step 4:Use the relationships we have identified to solve for x.

We can start by using the relationship between angle BXY and angle CXD, which are alternate interior angles. We have angle BXY = angle CXD4x = 3x + 10x = 10Next, we can use the relationship between angle AXY and angle BYX, which are interior angles on the same side of the transversal.

We have:angle AXY + angle BYX = 180(3x + 10) + 4x = 1807x + 10 = 1807x = 170x = 24Finally, we can substitute x = 24 into the expressions for 4x and 3x to find the marked angles. We have:4x = 4(24) = 963x = 3(24) = 72Therefore, the marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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When creating flowcharts, we represent a decision with a diamond shape. Correct option is d.

The diamond shape is used to indicate a point in the flowchart where a decision or choice needs to be made. The decision typically involves evaluating a condition or checking a criterion, and the flow of the program can take different paths based on the outcome of the decision.

The diamond shape is commonly associated with decision-making because its sharp angles resemble the concept of branching paths or alternative options. It serves as a visual cue to identify that a decision point is being represented in the flowchart.

Within the diamond shape, the flowchart usually includes the condition or criteria being evaluated, and the two or more possible paths that can be followed based on the result of the decision. These paths are typically represented by arrows that lead to different parts of the flowchart.

Overall, the diamond shape in flowcharts helps to clearly depict decision points and ensure that the logic and flow of the program are properly represented. Thus, Correct option is d.

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In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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Answer:

Alternate Exterior Angles

Step-by-step explanation:

Alternate exterior angles are two angles on the opposite outer sides of two parallel lines cut by a transversal.  

The two angles given, 2 and 7, are alternate exterior angles.

Hope it helps! :)

Answer:

1/26

Step-by-step explanation:

There are 4 packs in a regular card deck. Hence, we have four 10s.

The probability of selecting a 10 is thus 4/52 = 1/13

The probability of getting the coin to land on its tail is 1/2.

The probability of getting a 10 and a tail flip = 1/2 * 1/13 = 1/26

Answer:

1/27

Step-by-step explanation:

1/52 cards

1/2 coin

2/54=1/27

When analyzing a resultant vector, the equation to find the magnitude of the vector is the Pythagorean theorem. This equation states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of its components.

To find the direction of the resultant vector, the trigonometric function of inverse tangent or arctan can be used. This involves taking the inverse tangent of the vertical component divided by the horizontal component, which gives the angle of the vector with respect to the positive x-axis.

Alternatively, the direction can also be found using the trigonometric functions of sine and cosine by dividing the vertical and horizontal components of the vector by its magnitude.

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Answer:

\(\left[\begin{array}{ccc} -10 & -9 \\ -8 & -2 \\ -11 & 67 \end{array}\right]\)

Step-by-step explanation:

This is a matrices. Since they are both the same in format, we can add them together. But first we must multiply each value by the given values.

1.

\(\left[\begin{array}{ccc}-30 & -5 \\ 20 & 30 \\ -35 & 35 \end{array}\right]\)    +   \(\left[\begin{array}{ccc} 20 & -4 \\ -12 & -32 \\ 24 & 32 \end{array}\right]\)     =  \(\left[\begin{array}{ccc} -10 & -9 \\ -8 & -2 \\ -11 & 67 \end{array}\right]\)

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Answer:

distance divided by time

Step-by-step explanation:

distance is the speed of the moving object multiplied by the time taken to complete a certain distance therefore the speed is the distance covered divided by the time taken.

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

Answer:

Option A

Step-by-step explanation:

The expression that completes the blank is A. 11  x  w * x 3 = 11  x 3  x  w.

The commutative property is a mathematical concept that states that the order in which we multiply the factors does not affect the product.

According to the commutative property, a mathematical principle, the product is unaffected by the order in which we multiply the integers.

According to the above, the example of a commutative property is:

11  x w x 3 = 11 x  3 x w

This expression is the one with the commutative property because it has the same factors on both sides of the equation in a different order and that does not affect the result.

Therefore, the correct answer is A.

This question is incomplete because you are missing the options, here are the options:

A. 11 x w x 3 = 11 x 3 x w

B. 11 x w x 3 = 11 x w x 3

C. (11 x w) x 3 = 11 x (w x 3)

D. 11 x (w x 3) = (11 x w) + (11 x 3)

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The coordinates of point Q are (29.3, 21.7).

To find the coordinates of Q, we can use the following steps:

Find the length of OP.

Find the angle TOQ.

Find the coordinates of Q.

Step 1: Find the length of OP

The length of OP can be found using the Pythagorean Theorem. In this case, we have:

OP² = 2² + (√3)²

OP² = 4 + 3

OP² = 7

OP = √7

Step 2: Find the angle TOQ

The angle TOQ can be found using the tangent function. In this case, we have:

tan(TOQ) = OQ/OP

tan(TOQ) = 20/√7

TOQ = arctan(20/√7)

TOQ ≈ 66.9°

Step 3: Find the coordinates of Q

The coordinates of Q can be found using the distance formula. In this case, we have:

Q = (a, b)

a = x + 20 * cos(66.9°)

b = √3 + 20 * sin(66.9°)

a ≈ 29.3

b ≈ 21.7

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Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

6 cm, 8 cm, 10 cm meaurement repreent the ide length of a right triangle.

A right triangle, like the triangle below, is one in which one of the angles measures 90 degrees (a right angle). In most cases, right angles are shown by drawing a square at the angle's vertex.

For a right triangle, where c is the hypotenuse and a and b are the smaller sides, the Pythagorean Theorem gives us a2 + b2 = c2.

The hypotenuse is usually the longest. Any triple would still represent the sides of a right triangle if we multiplied it by a constant. Therefore, the sides of a right triangle would be 6, 8, and 10.

a2 + b2 = c2.

= 6^2 + 8^2  =  10^2

36 + 64 = 100.

so,

6 cm, 8 cm, 10 cm meaurement repreent the ide length of a right triangle.

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Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees

SOLUTION

We want to find which of the following values make the inequality

x ≤ 16.3 to be true.

This inequality means that x is equal to 16.3 or less than 16.3. So the numbers that fall under this are numbers smaller than 16.3 and also 16.3.

The numbers that fall under here are 8, 1/4, -3 and 16.3

Hence the answer b, c, e and f

Answer:

+ closed

- closed

* closed

÷ not closed

Step-by-step explanation:

When you add integers, you will always get an integer so it is closed under addition

When you subtract integers, you will always get an integer so it is closed under subtraction

When you multiply integers, you will always get an integer so it is closed under multiplication

When you divide integers, you will not always get an integer so it is not closed under division

1/5 = .2 which is not an integer

Answer:

1. Yes

2. Yes

3. Yes

4. No

Step-by-step explanation:

The expression -8 + 5 shows the sum of two integers. This expression has a value of -3. Because -3 is also an integer, the set of integers appears to be closed under addition.

The expression 9 − (-11) shows the difference of two integers. This expression has a value of 20. Because 20 is also an integer, the set of integers appears to be closed under subtraction.

The expression 3 · (-4) shows the product of two integers. This expression has a value of -12. Because -12 is an integer, the set of integers appears to be closed under multiplication.

The expression, -1 ÷ 6, shows the quotient of two integers. This expression has a value -1/6, Because -1/6 is not an integer, the set of integers is not closed under division.

Answer:

13,790

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