What is the graph of
5x - 2y = 20?

Answer:

The answer is 21

Step-by-step explanation:

Answer:

11 remainder 26

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part 1)

add their velocities

422+384= 806

now divide 6045 by 806 = 7.5  or  7 hours 30 minutes

7:30 = t   hours:minutes

Part 2)

For this part we will need to employ Pythagoras theorem. we need the hypotenuse to be 1,997

so, when will  plane traveling N ,  and plane traveling W be that far (1997)?

or

when does  \(1997^{2}\) = \(N^{2}\) + \(W^{2}\)

then we're also given that  N = 422*t

and  that  W = 384 * t

so now our formula looks like

\(1997^{2}\)  = \((422*t)^{2}\) + \((384*t)^{2}\)

rewrite this so it's making clear math sense

\(1997^{2}\)  = \(422^{2}\) * \(t^{2}\) + \(384^{2}\) * \(t^{2}\)

now pull out the \(t^{2}\)

\(1997^{2}\)  = ( \(422^{2}\)  +   \(384^{2}\) ) * \(t^{2}\)

now simplify some

3988009 = (178084 + 147456 ) * \(t^{2}\)

now divide the left side by the numbers on the right

3988009 /  (178084 + 147456 )  = \(t^{2}\)

12.12044234 = \(t^{2}\)

\(\sqrt{12.25044234}\) = t

3.500063191 = t

so at 3 and a half hours,  the planes will be 1997 miles apart

3:30 = t

Answer:

52 muffins

Step-by-step explanation:

3 * 16 = 48

48 + 4 = 52

The cross-sectional area of a sphere that passes through its center is a circle with a diameter equal to the diameter of the sphere. In this case, the diameter of the sphere is 6.69 meters * 2 = 13.38 meters.

The formula for the area of a circle is: A = π * r^2, where r is the radius.

Therefore, the cross-sectional area of the sphere that passes through its center is: A = π * (13.38/2)^2 = π * (6.69)^2 = 136.57 square meters.

A sphere is a three-dimensional shape that has a uniform, rounded surface that is symmetrical in all directions. When you cut a sphere through its center, you get a cross-sectional area that is a circle.

This is because a sphere can be thought of as a set of circular cross-sections that are concentric with each other and with the center of the sphere.

The cross-sectional area of the sphere that passes through its center is called the central cross-section of the sphere. It has the same diameter as the sphere itself and its area can be calculated using the formula for the area of a circle: A = π * r^2, where r is the radius of the circle.

In this case, the sphere has a radius of 6.69 meters, which means that its diameter is 6.69 * 2 = 13.38 meters.

The radius of the central cross-section of the sphere is half of the diameter, which is 6.69 meters. Therefore, the area of the central cross-section of the sphere is: A = π * (6.69)^2 = 136.57 square meters.

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Answer:

perimeter = 22 inch

area= 24 inch

length= 8 inch

width= 3 inch

the area and perimeter of the rectangle.

\(perimeter = l + l + w + w\)

\(p = 8 + 8 + 3 + 3\)

\(p = 22 \: inch\)

\(area = l \times w\)

\(a = 8 \times 3\)

\(a = 24 {in}^{2} \)

Answer:

3.3 x 10^-4

Step-by-step explanation:

It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4

Answer:

12/2, 17/4, 17/2.

Step-by-step explanation:

First,

Find how much the whole numbers are worth.

3 = 6/2

3 = 12/4

6 = 12/2

Next,

Add them up.

*remember not to add the denominators*

6/2 + 6/2

12/4 + 7/4

12/2 + 5/2

Finally,

You have the answer!

I hope this helps :)

(The answers are in the order you submitted them in.)

Answer:

Step-by-step explanation:

sorry i dont know answre

The inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequalities:

y > 2x + 4

x + y ≤ 6

We can plot the above inequality on the coordinate plane.

The inequalities representing the region between the two lines the lines are:

y = 2x + 4

x + y = 6

y > 2x + 4  (dashed line on the graph)

x + y ≤ 6     (solid line on the graph)

Thus, the inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.

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Answer:

It is 235

Step-by-step explanation:

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Given

Total 80 pounds of a coffee

Find

How many pounds of each kind of coffee should they mix?

Explanation

Let x be the pounds of the Mexican Shade Grown Blend.

so , 80 - x be the pounds of the Rift Valley

according to the question

9.10(80-x)+14.50x=13.08*80

pounds of the Rift Valley = 80-59 = 21

Final Answer

Therefore , 59 pounds of the Mexican Shade Grown Blend and 21 pounds of the Rift valley.,

Answer:

no property

Step-by-step explanation:

Name the property used: no property

Answer:

A

Step-by-step explanation:

Your answer is False

Answer:

50 and 20 that is the answer Thank you

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

As t increases without bound, the value of n(t) approaches infinity gradually. This means that an infinitely large number of people will eventually hear the rumor.

However, it is also important to note that this model assumes that there is an infinite number of people in the town, which may not be the case in reality.

Additionally, the model assumes that every person in the town has an equal chance of hearing the rumor, which may also not be accurate. Nonetheless, as t increases, the number of people who have heard the rumor will continue to increase without bound gradually.

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The numerator for the equivalent fractions 2/5 = ?/15 is 6.

The correct answer choice is option D.

A fraction is a value which consists of a numerator (top or upper value) and a denominator (down or lower value).

2/5 = ?/15

cross product

2 × 15 = 5 × ?

30 = 5?

divide both sides by 5

? = 30/5

? = 6

Hence, 6 is the numerator of the fraction.

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The ratio representing the number of votes for hot dogs to chicken is 2/5.

For the stated question.

Total votes = 20.

Pizza = 6

Chicken = 10

Hot dogs = 20 - 16 = 4

Then,

Ratio = votes for hot dogs/ votes for chicken

Ratio = 4/10

Ratio = 2/5

Thus, the ratio representing the number of votes for hot dogs to chicken is 2/5.

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we can infer that the firm is currently maximizing its profit. Option (b), "the firm is currently maximizing its profit," is the most appropriate inference from the provided data.

To determine whether the firm is maximizing its profit, we need to analyze the relationship between marginal revenue (MR), marginal cost (MC), and price. In a monopolistically competitive market, firms aim to maximize their profit by producing at a level of output where MR equals MC.

From the information provided, we know that the firm's marginal revenue is equal to $15 and marginal cost is also equal to $15. This indicates that the firm is producing at the level where its marginal revenue equals its marginal cost, which is a characteristic of profit maximization.

Additionally, we are told that the firm is charging the highest price it can at $30. This means that the firm is able to set its price above its average total cost, resulting in a positive difference between price and average total cost, known as economic profit.

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Answer:

\(for \: a \\ \\11 \times 2 + 1 = 22 + 1 = 23 \\ 23 \times 2 + 1 = 47\\ for \: b \\ the \: third \: term \: is \: 17 \\ \frac{17 - 3}{2} = \frac{14}{2} = 7 \\ \frac{7 - 3}{2} = \frac{4}{2} = 2 \\ the \: first \: term \: is \: 2\)

Answer:

a) 23, 47    b) 2

Step-by-step explanation:

a)  It gives you the pattern, so you can use it to find the next two terms:

11 x 2 + 1 = 22 + 1 = 23

23 x 2 + 1 = 46 + 1 = 47

b)  It gives you the pattern, so you can use it to find the first term:

Work backwards this time because you need to find what comes before the 17.

? x 2 + 3 = 17

? x 2 = 17 - 3

? x 2 = 14

? = 14 ÷ 2

? = 7

7 is the second term. Find the first term:

? x 2 + 3 = 7

? x 2 = 7 - 3

? x 2 = 4

? = 4 ÷ 2

? = 2

The first term is 2.

The length of the rectangle = 8 inches

The width of the rectangle, w = 15 inches

The diagonal, d = 17 inches

The length of the rectangle, l = ?

The diagram is drawn below

The diagonal of the rectangle forms a right triangle with the width and the length. Therefore, the length will be found using the Pythagora's theorem

The length of the rectangle = 8 inches

Answer:

whats the question?

Step-by-step explanation:

The guarantee period should be approximately 30.46 months to ensure that no more than 22% of the Magic Video packages will require a refund.

To answer this question, we need to use the normal distribution and the z-score formula. The z-score formula is:

z = (x - μ) / σ

where x is the value we want to find, μ is the mean, σ is the standard deviation, and z is the z-score corresponding to the probability we want to find.

In this case, we want to find the length of the guarantee period (x) such that the probability of a computer failing during the guarantee period and getting a refund is no more than 22% (or 0.22). We know that the mean life for the computer (μ) is 25 months, and the standard deviation (σ) is 7 months.

To find the z-score corresponding to a probability of 0.22, we can use a standard normal distribution table or a calculator. The z-score is approximately -0.81.

Now we can plug in the values we know into the z-score formula and solve for x:

-0.81 = (x - 25) / 7

-5.67 = x - 25

x = 19.33

Therefore, the guarantee period can be no longer than 19.33 months if the management does not want to refund the purchase price on more than 22% of the Magic Video packages.

To find the guarantee period for Magic Video Games, Inc., we need to determine the number of months in which no more than 22% of the computer systems will fail. We'll use the normal distribution properties, mean life (μ = 25 months), and standard deviation (σ = 7 months).

Step 1: Convert the percentage to a decimal value.
22% = 0.22

Step 2: Find the z-score that corresponds to the 22% failure rate.
Since we want the guarantee period to cover the time before 22% of systems fail, we will look for the z-score that corresponds to the 78% remaining functional systems (100% - 22% = 78%). We'll use a z-table or calculator to find the z-score corresponding to a 0.78 probability. In this case, the z-score is approximately 0.78.

Step 3: Use the z-score formula to find the guarantee period (x).
The z-score formula is: z = (x - μ) / σ
We'll plug in the values and solve for x: 0.78 = (x - 25) / 7

Step 4: Solve for x.
First, multiply both sides by σ: 0.78 * 7 = x - 25
Then, add μ to both sides: 5.46 + 25 = x
x ≈ 30.46

The guarantee period should be approximately 30.46 months to ensure that no more than 22% of the Magic Video packages will require a refund.

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The probability that the three segments can be arranged to form a triangle is 1 - 1/6 = 5/6. Answer: 5/6

Let's consider a unit segment that is 1 unit in length. Assume two points A and B are chosen arbitrarily on the segment. Now, we need to determine the probability that the three segments formed by these two points can be arranged to form a triangle. Let these segments be AB, AC, and BC,

where C is any point that lies between A and B.There are several techniques for solving this problem. We'll use the geometric probability approach.

First, we'll draw a diagram of the segment AB and then a point C between A and B. Let the lengths of segments AB, AC, and BC be represented by x, y, and z, respectively, as shown in the figure below.  \(\overline{AB}\) is a unit segment and C lies between A and B.

The lengths of \(\overline{AC}\) and \(\overline{BC}\) are x and y units respectively.Let's use the Triangle Inequality theorem to see if these segments can form a triangle.

According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, or a + b > c, where a, b, and c are the lengths of the sides.

Using this theorem, we can write the following inequalities:x + y > zx + z > yz + y > xAdding these three inequalities together, we get:2x + 2y + 2z > x + y + z, orx + y + z > 1.  

Hence, the probability that the three segments can be arranged to form a triangle is 1 - P(x + y + z ≤ 1). Let's compute P(x + y + z ≤ 1) by determining the area of the region where x + y + z ≤ 1. This area is a tetrahedron with a base of area 1/2 and a height of 1/3, giving a volume of 1/6.  

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