68x2 – 60y - 9x2 + y2​

The best equation for describing the distance y of the blue car after x hours would be: \(y = 60x\). So, option C is accurate.

The distance formula for an item moving at a constant speed must be applied in order to get a response to this query:

distance = speed * time

In this case, the speed of the red car is 60 miles per hour, and the time is x hours. Therefore, the distance traveled by the red car is:

distance \(= 60 * x\)

distance \(= 60x\)

This means that the equation for the distance y of the blue car after x hours must be different from 60x, otherwise the two cars would have traveled the same distance.

This is due to the fact that the red car is moving at a speed of 60 mph, and it is assumed that the blue car is moving at a similar speed. The distance covered by the blue car after x hours would therefore be equal to x hours multiplied by 60 miles per hour, or y = 60x.

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Answer: it is y=50x

Step-by-step explanation: i took the test and i did y=60x and it was wrong. so y=50x is right

Answer:

Slope can be found using rise/run

so y2-y1/x2-x1

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:

y = -6x + 8

Step-by-step explanation:

\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}

I don't know why it came out like this

Answer:

64 ounces of carrots

Step-by-step explanation:

4×16=64

Answer:

64 ounces

Step-by-step explanation:

There are 16 ounces in 1 pound.

If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.

16 * 4 = 64 ounces

Based on the account receivable balance and the adjustments, the adjusting entries for doubtful debt under various assumptions is:

a. Bad debt is 1/4 of 1% of sales:

= 9,560,000 x 0.25%

= $23,900

b. Debit balance of $11,400:

= Estimated doubtful accounts + Debit balance

= 36,500 + 11,400

= $47,900

c. Credit balance of $4,700 and 1/2 of 1% of sales:

= Sales x 0.50%

= 9,560,000 x 0.50%

= $47,800

d. Credit balance of $4,700 and estimated doubtful of $39,000:

= Estimated doubtful accounts - credit balance

= 39,000 -  4,700

= $34,300

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9514 1404 393

Answer:

  74.28 ft

Step-by-step explanation:

The tangent of the angle is the ratio of opposite side (lighthouse height) to adjacent side (distance from lighthouse).

  tan(23°) = height/(175 ft)

  height = (175 ft)·tan(23°) ≈ 74.28 ft

Answer:

B 84 is our answer

Step-by-step explanation:

triangle formula for surface area is base x height divided by 2 so 7 x 6 = 42 42 ÷ 2 = 21 All the other triangles are going to be the same so 21 x 4 = 84 so 84 is our surface area

We are given:

Afsheen can read 39 pages in 30 minutes

Time taken by Afsheen to read 1287 pages:

Time taken to read 1 page:

Time taken to read 1 page = time taken to read 39 pages / 39

Time taken to read 1 page = 30 minutes / 39

Time taken to read 1 page = 0.77 minutes

Time taken to read 1287 pages:

Time taken to read 1287 pages = Time taken to read 1 page * 1287

Time taken to read 1287 pages = 0.77 * 1287

Time taken to read 1287 pages = 991 minutes OR 16.52 hours (Approx)

Answer:

in 1 hour = 2×39= 78 pages

so 1287 pages= 1287÷78= 16.5 hours

Step-by-step explanation:

it takes 16. 5 hours that means 16 hours 30 min

Step-by-step explanation:

I guess it is:

The steps as follows:

\(\underline{\sf Given :- }\)

\(\underline{\sf To \ find :- }\)

\(\underline{\sf Answer :- }\)

Taking the given inequality ,

For number line see attachment .

Answer:

yes its correct

Step-by-step explanation:

Typically, you could just apply the equations x = r(cos(degrees °)), y = r(sin(degrees °)) to obtain the x, y coordinates on a circle with a known radius and angle.

Three angles in parallel lines facts—alternate angles, co-Interior angles, and matching angles—are used to accomplish this. often referred to as "Z angles." known as "C angles" at times.

The slope-intercept form of a straight line is represented by the equation y = mx + b. In this instance, the points' coordinates are x and y, the gradient is m, and the y-axis' intercept is b.

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Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

Answer:

the collection center should be located at Collection Option (D).

Step-by-step explanation:

To determine the best location for the collection center, you can calculate the average coordinates of the four collection points and choose the location that is closest to this average.

To calculate the average coordinates, you can add the coordinates of each collection point and divide the result by the number of collection points. For example, to find the average X coordinate, you can add the X coordinates of all four collection points and divide by 4. Similarly, to find the average Y coordinate, you can add the Y coordinates of all four collection points and divide by 4.

Using this method, the average coordinates for the four collection points are (5.75,3.25). The collection point that is closest to these average coordinates is Collection Point D, which is located at (7,3). Therefore, the collection center should be located at Collection Point D.

I hope this helps to clarify the process for determining the best location for the collection center. Please let me know if you have any other questions.

The statement that the inequality is d<-60 or(-60>d) is; true.

Let d represent the depth of the researchers' second dive.

We are given that;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explored a deeper depth, that is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60, then deeper depth would be represented by integers less than -60.

Thus, we can conclude that d can be represented with the inequality;

d < -60

Therefore the statement that d<-60 or(-60>d) is true.

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If you put x=1 into your function, you'd have

  f(1) = -3(1) + 5

       = -3 + 5

       = 2

This shows that Table A is not correct.

If you put x=2 into your function, you'd have

  f(2) = -3(2) + 5

        = -6 + 5

        = -1

This shows that Table B is not correct.

That leaves Table C.

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

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Answer:

The two whole numbers that are between the square root of 99 is, 9 and 10.

Step-by-step explanation:

        Because 9 x 9 = 81       and        10 x 10 = 100

             so 91 is between those two numbers.

and the square root of 81 is 9 and the square root of 100 is 10.

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

The mean is 27.3. and the median is 24.5.

A data set's mean (average) is calculated by summing all οf the numbers in the set, then dividing by the tοtal number οf values in the set. When a data cοllectiοn is ranked frοm least tο greatest, the median is the midpοint. The number that appears mοst frequently in a data set is called the mοde.

Part A:

Tο calculate the mean, we need tο add up all the values and divide by the tοtal number οf values:

15 + 20 + 22 + 24 + 25 + 26 + 30 + 35 + 36 + 60 = 273

273 / 10 = 27.3

Therefοre, the mean is 27.3.

Tο find the median, we need tο find the middle value when the data is οrdered frοm smallest tο largest.

Median = (24 + 25) / 2 = 24.5

Therefοre, the median is 24.5.

Part B:

The measure οf centre that the student shοuld give tο their teacher depends οn the teacher's preference. The median is a mοre rοbust measure οf center that is nοt as affected by οutliers οr extreme values. The median alsο gives a better sense οf the typical value in the data.

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Answer:Quadrant 1

Only in Quadrant 1, the both y and x-axis is positive. So (10, 15) is in quadrant 1.

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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Step-by-step explanation:

everything can be found in the picture

Answer:

6.28

Step-by-step explanation:

\((3.14)(1.5) {}^{2} = 7.065 \)

\((3.14)(0.5) {}^{2} = 0.785\)

\(7.065 - 0.785 = 6.28\)

Answer:

C (lower left corner)

Step-by-step explanation:

Lower extreme: 67

Upper extreme: 75

Median: 70

Upper quartile: 73

Lower quatile: 69

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