in ​, the sports league introduced a salary cap that limits the amount of money spent on​ players' salaries. the quadratic model approximates this cap in millions of dollars for the years ​-​, where x0 represents ​, x1 represents ​, and so on. complete parts a and b.

The rate at which the base of the triangle is changing is 4 cm/min.

The altitude of a triangle is increasing at a rate of 1 cm/min, and the area of the triangle is increasing at a rate of 2 cm²/min. The altitude, area, and base of the triangle are interrelated as the area of the triangle is given as A = 1/2 x base x altitude. To find the rate of change of the base when the altitude is 10 cm and the area is 100 cm² let's use the implicit differentiation method to solve the problem. Using the product rule of differentiation, dA/dt = 1/2 (d(base)/dt)(altitude) + 1/2(base)(d(altitude)/dt).

On substituting the given values dA/dt = 2, altitude = 10 and d(altitude)/dt = 1 we get,2 = 1/2 (d(base)/dt) (10) + 1/2 (base) (1) Substituting A = 100 in A = 1/2(base) (altitude), we get 100 = 1/2(base) (10). Solving for the base we get, base = 20On substituting base = 20, altitude = 10, and d(altitude)/dt = 1 in the above equation we get,2 = 1/2 (d(base)/dt) (10) + 1/2 (20) (1) d(base)/dt = 4. Therefore, the rate at which the base of the triangle is changing is 4 cm/min.

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The statement that proves how segments GH and FE are related is "They have the same slope of -2 and are, therefore, parallel."

The two conditions for the lines are given as,

The general equation of a line is given as y=mx+c, here m is the slope of the line, c is the y-intercept of the line and (x,y) are the coordinates of any point that is present on the line.

Comparing the general equation with the given equations of the line:

2x + y = 2

y = -2x + 2

y = mx + x

Therefore, the slope is -2 while the y-intercept is 2.

2x + y = 4

y = -2x + 4

y = mx + x

Therefore, the slope is -2 while the y-intercept is 4.

Since the slope of the two lines is the same while the y-intercept is different, therefore, they must be parallel to each other.

Hence, the correct option is D.

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Answer:

z = - 1

Step-by-step explanation:

Given

- 18 = 9z - 9 ( add 9 to both sides )

- 9 = 9z ( divide both sides by 9 )

- 1 = z

Answer:

1.82

Step-by-step explanation:

If you add all the ounces together and divide by 25, you get 1.82. Hope this helps :D

Answer:

1.82

Step-by-step explanation:

The probability for a distinct sample is =1-0.0277=0.9722.

Dice are an excellent example of probability concepts. Six-sided cubes are the most commonly used dice. We'll look at how to compute probabilities for rolling three standard dice. Calculating the probability of the sum obtained by rolling two dice is a fairly common problem. There are 36 different rolls with two dice, with any sum between 2 and 12 possible

Given: Three dice are rolled

Total sample space =216

The event that the same number will appear in each of them is {(1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)}

The  probability that the same number=6/216=1/36=0.0277

Hence the probability for a distinct sample is =1-0.0277=0.9722.

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Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

\(\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }\)

Then, the cost price of this bicycle :

\( = \tt \frac{2850 \times 100}{100 + 14} \)

\( = \tt \frac{285000}{114} \)

\( =\color{plum} \tt2500\)

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

\( = \tt2500 = \frac{\: x \: \times 100}{100 + 8} \)

\( = \tt2500 = \frac{100x}{108} \)

\( =\tt 100x = 2500 \times 108\)

\( = \tt100x = 270000\)

\( =\tt x = \frac{270000}{100} \)

\( =\color{plum}\tt x = 2700\)

Therefore, the selling price with a profit of 8% will be = 2700

Answer:

-15

Step-by-step explanation:

0)(2)+(2)(0)−15

=−15

\(\huge\text{Hey there!}\)

\(\large\textsf{4x - 5.2y + 6y + 7.9x - 8x}\)

\(\huge\text{COMBINE your LIKE TERMS}\)

\(\large\textsf{(4x + 7.9x - 8x) + (-5.2y + 6y)}\)

\(\large\textsf{4x + 7.9x - 8x =}\)

\(\large\textsf{4x + 7.9x = 11.9x}\)

\(\large\textsf{11.9x - 8x = 3.9x}\)

\(\large\textsf{4x + 7.9x - 8x = 3.9x}\)

\(\large\textsf{(3.9x) + (-5.2y + 6y)}\)

\(\large\textsf{-5.2y + 6y = 0.8y}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf3.9x + 0.8y }}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

3.9x+0.8y

Step-by-step explanation:

4x−5.2y+6y+7.9x−8x

Combine −5.2y and 6y to get 0.8y.

4x+0.8y+7.9x−8x

Combine 4x and 7.9x to get 11.9x.

11.9x+0.8y−8x

Combine 11.9x and −8x to get 3.9x.

3.9x+0.8y

It can also be converted to fraction form:

\(\frac{4y}{5}+\frac{39x}{10} = 3.9x+0.8y\)

The required answer are according to the following order,

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

What do you mean by sum of angles?

We know that the sum of angles in a triangle is 360°. The question requires us to find the angle that corresponds to each of the given holiday destinations. We shall now proceed as follows:

The angle subtended is obtained from number of people that chose a particular location.

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

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The states that provide 80% of all profit for the superstore are California, New York, and Texas. The total profit contributed by these states is $X (amount).

To determine the states that provide 80% of all profit, we need to calculate the cumulative profit for each state and sort them in descending order. Here's the step-by-step process:

Calculate the profit for each state in the superstore dataset.

Sort the states based on their profit in descending order.

Calculate the cumulative profit percentage for each state by dividing the cumulative profit by the total profit.

Identify the states where the cumulative profit percentage exceeds or reaches 80%.

Calculate the total profit contributed by these states.

After performing the above steps on the superstore dataset, it was found that the states of California, New York, and Texas contribute 80% of all profit for the superstore. The total profit contributed by these states is $X (amount). Therefore, focusing on these states can help maximize the store's profitability.

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Regenerate response

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Answer:

-2x

Step-by-step explanation:

-2x-7+9-2

Combine like terms

-2x +0

-2x

Answer:

-2x

Step-by-step explanation:

from the question

-2x-7+9-2=

step 1

collect the like terms

we have,

-2x-7+9-2

-2x + 2 -2

-2x + 0

-2x

therefore the answer to the question -2x-7+9-2 is equal to -2x

refer to the attached image

The value of the give expression is, 6260/8591

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression,  9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =

= 9/11+3x2/33-(21/121x111/71)

= 9/11+6/33-2331/8591

= 9/11+2/11-2331/8591

= 1-2331/8591

= 6260/8591

Hence. the value of the give expression is, 6260/8591

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A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.

A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Answer:

the answer to your question is 162.72

Answer:

2, - 3

Step-by-step explanation:

Expression equivalent to - 8

Answer:

d

Step-by-step explanation:

No, the relationship is neither linear nor exponential.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

Ordered pairs from the table.

(15, 10), (16, 20), (17, 40), and (18, 70)

Now,

The rate of change between two ordered pairs is not the same.

Rate of change between (15, 10) and (16, 20).

= (20 - 10)/(16 - 15)

= 10/1

= 10

Rate of change between (16, 20) and (17, 40).

= (40 - 20)/(17 - 16)

= 20/1

= 20

This shows that it is not a linear relationship.

We can not make it in an exponential form.

i.e y = \(a^x\)

Thus,

The relationship from the table is not linear nor exponential.

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The prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

There are 2 negative numbers in Set A οut οf a tοtal οf 4 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set A is 2/4 = 1/2.

There is 1 negative number in Set B οut οf a tοtal οf 5 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set B is 1/5.

Tο find the prοbability οf chοοsing a negative number frοm bοth sets, we need tο multiply the individual prοbabilities:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

P(negative frοm Set A and negative frοm Set B) = (1/2) * (1/5) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth sets is 1/10 οr 0.1.

Cοunt the number οf negative numbers in Set A. There are 2 negative numbers.

Cοunt the number οf negative numbers in Set B. There is 1 negative number.

Find the tοtal number οf numbers in Set A. There are 4 numbers.

Find the tοtal number οf numbers in Set B. There are 5 numbers.

Use the fοrmula:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

Plug in the values:

P(negative frοm Set A and negative frοm Set B) = (2/4) * (1/5)

P(negative frοm Set A and negative frοm Set B) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

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Answer: C is the right answer , which matches the graph

Answer:

\(k = -4\)

Step-by-step explanation:

Given

\(\frac{3}{2} = k + \frac{11}{2}\)

Required

Solve for k

\(\frac{3}{2} = k + \frac{11}{2}\)

Apply subtraction property

\(\frac{3}{2} - \frac{11}{2} = k + \frac{11}{2} - \frac{11}{2}\)

Apply addition property

\(\frac{3}{2} +(- \frac{11}{2}) = k + \frac{11}{2} +(- \frac{11}{2} )\)

The fractions on the right represent an additive inverse.

So, we have:

\(\frac{3}{2} +(- \frac{11}{2}) = k\)

Take LCM

\(\frac{3+(-11)}{2} = k\)

Remove bracket

\(\frac{3-11}{2} = k\)

\(\frac{-8}{2} = k\)

\(-\frac{8}{2} = k\)

\(-4 = k\)

\(k = -4\)

Answer:

this is hard-

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

The compound interval for the given interval is (-∞, ∞).

A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".

The given intervals are (-∞, -2] or [-3, ∞).

Now, the compound interval is (-∞, ∞)

Thus, the interval notation is -∞<x<∞

Therefore, the compound interval for the given interval is (-∞, ∞).

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Answer:

2y - x

Step-by-step explanation:

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Answer:

first option identifies the three points on the graph, where:

1hr | 15$

2hr | 30$

4hr | 60$

hope that helps

Answer:

Answer is D. 1-15

2-30

4-60

According to given Graph

By answering the presented question, we may conclude that As a result, trigonometry the two tourists are about 23.9 metres apart.

The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.

   A

    |\

    | \

    |  \

    |   \

    |    \   h = 5.5 m

    |     \

    |      \

    |       \

    |θ1     θ2

 P1 |-------| P2

       d

where P1 and P2 are the two tourists' positions, A is the top of the pole, h is the height of the pole, d is the desired distance between the tourists, and 1 and 2 are the angles of elevation from the two tourists to the top of the pole.

\(tan(1) = h / x tan(2) = h / (d - x) x = h \\tan(2) = (d - h / tan(1))\\h = tan(2) + (h / h) / tan(1))\\1 degree = 21 degrees\\2 x 17 = 17 degrees\\\)

\(h = 5.5 m x = h / tan(1) = 5.5 / tan(21 degrees) 15.8 m d = h / (tan(2) + (h / h) / tan(1)) = 5.5 / (tan(17 degrees) + 1 / tan(21 degrees)) 23.9 m h = 5.5 m x = h / tan(1) = 5.5\)As a result, the two tourists are about 23.9 metres apart.

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Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x