Which steps should be used to graph the equation below? Y-4=1/3(x +2)

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

Answer:

m = -2

Step-by-step explanation:

because of rise/run you can simply see the slope

If the confidence level is decreased to 95%, the confidence interval for the proportion of restaurants that fail within five years will be narrower and have a smaller chance of capturing the true proportion of restaurants that fail within five years.

When the confidence level is decreased, the width of the confidence interval decreases. This means that the range of values within which the true proportion of restaurants that fail within five years is likely to lie becomes narrower. However, as the interval becomes narrower, there is a smaller chance of capturing the true proportion, as there is less room for variation.

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Answer:

Liam earns $9.375 per hour

Step-by-step explanation:

The given information is

We need to find his hourly wages when his benefits package is included

Assume that he earns 100% per hour

∵ He earns 100% per hour

∵ His benefits package is 25% of his hourly wages

→ Add 25% to 100% to find his total hourly wages

∴ He will earn = 100% + 25% = 125% of his hourly wage

→ Find the value of 125% of his hourly earn

∵ 125% of 7.50 = \(\frac{125}{100}\) × 7.50 = 9.375

∴ His hourly earns = $9.375

Liam earns $9.375 per hour

The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.

To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.

Let's denote the exchange rate of euro/pound as E.

Given:

Exchange rate of dollar/pound = 1.21 dollar/pound

Exchange rate of dollar/euro = 1.22 dollar/euro

To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:

E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)

E = 1.22 dollar/euro / 1.21 dollar/pound

Simplifying this expression, we get:

E = 1.01 euro/pound

Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.

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The bearing of the flight from Elgin to Canton is 231.23°. The solution has been obtained by using law of sines.

What is law of sines?

The ratio of the side length to the sine of the opposing angle is how the law of sines is typically defined. That is true for all three triangle sides, regardless of their sides and angles.

Let the angle formed at Canton be C.

The angle formed at Naples =  90 - 44 = 46°

Using law of sines,

⇒sin (46 ) / 720  =  sin C / 500

⇒500 * sin ( 46 ) / 720  =  sin C

⇒arcsin ( 500 * sin (46) / 720 )  = C  

⇒C ≈ 38.77°

The bearing angle (clockwise from north) of the flight from Elgin to Canton is calculated as follows:

⇒270° - 38.77°

⇒231.23°

Hence, the bearing of the flight from Elgin to Canton is 231.23°.

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The figure of the question has been attached below.

The number of points Davina have in the ice skating competition is 33.52.

As the question stated,

Then,

Formulate based on the conditions stated: 44 - 1.68 - (44 x 0.2).

Determine the quotient or product: 44 - 1.68 - 8.8.

Determine the total or difference: 42.32 - 8.8

Determine the total or difference: 33.52.

The, the number of points Davina have is 33.52.

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Answer: 3 and 3/8 or 27/8

Step-by-step explanation:

First step, you will need to move the decimal to the side by 1 place value.

0.8 --> 8. and 2.7--> 27.

Then just do your normal dividing.

27/8 = 3 and 3/8

The answer to 2.7÷0.8 can be either a mixed number or an improper fraction.

You have to move the decimal places to the right as many times as you need in order to make the number a while number you move the decimal place the same times as you did to the number outside the box which makes is 8 divided by 27 8 can’t go into 2 so u add a 0 and 8 can go into 27 3 times. You add a decimal point and subtract 24 from 27 u get 3 then you add a decimal point with a 0 8 can go into 30 3 times so it’s 6 add a decimal point to make it 60. Then 8 can go into 60 7 times subtract 56 from 60 and you get 4 add a decimal point and you get 40 8 can go into 40 5 times and your answer is 3.375

I added picture so u can see how it looks when you do it.

The points at which the direction of the fastest change of a function can be found are A. Critical points, as they are the points where the derivative of a function is either zero or undefined.

At critical points, the slope of the function is changing, indicating a potential change in the direction of the fastest change. Critical points can correspond to local minimum points, local maximum points, or points of inflection, depending on the behavior of the function around those points.

To find the critical points of a function, we need to take the derivative of the function and set it equal to zero or find points where the derivative is undefined. By solving this equation or finding points of undefinedness, we can determine the x-values that correspond to the critical points.

It's important to note that while critical points indicate a change in the direction of fastest change, they do not necessarily guarantee the presence of minimum or maximum points. Additional analysis is required to determine whether a critical point corresponds to a minimum point, maximum point, or neither.

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Answer:

n = 25

Step-by-step explanation:

-2n + 15 = n - 60

Subtract 15 to both sides

-2n = n - 75

Subtract n to both sides

-3n = -75

Divide -3 to both sides

n = 25

Best of Luck!

Answer:

n=25

Step-by-step explanation:

-2n+15=n-60

-3n+15=-60

-3n=-75

n=25

a) It is a vertical dilation of scale factor of 5.

b) It is a translation up of 10 units.

Here we have the line:

S(d) = 5d + 10

That represents the cost for renting the surboard for d days.

Remember that the parent linear function is y =x

A) 5 in this case is the slope, it says how much the cost for the rental increases for each day that passes. The effect on the linear parent function is a dilation of scale factor of 5.

B) 10 is the y-intercept, so this will represent a translation up of 10 units.

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Answer:

760.27 cm squared is the capacity

Answer:

p²q + 3pq³

Step-by-step explanation:

(p + 3q²) pq ← multiply each term in the parenthesis by pq

= p²q + 3pq³

Step-by-step explanation:

Let's turn each mixed fraction into an improper fraction.

\(1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \)

\(2 \frac{1}{5} = \frac{5}{5} + \frac{5}{5} + \frac{1}{5} = \frac{11}{5} \)

We'll use 11/5 twice.

Multiply:

\( \frac{5}{4} \times \frac{11}{5} = \frac{55}{20} \)

\( \frac{55}{20} = \frac{20}{20} + \frac{20}{20} + \frac{15}{20} = 2 \frac{15 \div 5}{20 \div 5} = 2 \frac{3}{4} \)

Multiply the Second problem:

\(\frac{5}{6}\times\frac{11}{5}=\frac{55}{30}\)

\(\frac{55}{30} =\frac{30}{30} +\frac{25}{30}= 1 \frac{25 \div 5}{30 \div 5} = 1 \frac{5}{6}\)

Compare:

\(2 \frac{3}{4} > 1\frac{5}{6} \)

2 3/4 is greater, we can identify this a few ways:

Therefore, your answer is >

Answer:

Jane is 11 1/4 years old.

Step-by-step explanation:

Subtract all of the numbers given.

\(13\frac{5}{6} -1\frac{1}{3} -1\frac{1}{4}\).

To subtract this, we need to find a common denominator.

A common denominator in this situation is 12. To do this multiply the 5 and the 6 of 5/6 by 2. Multiply the 1 and the 3 of 1/3 by 4. And multiply the 1 and the 4 1/4 by 3.

The new expression will look like this:

\(13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}\).

Now we can subtract.

\(13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}=11\frac{3}{12}\)

Reduce the answer.

\(11\frac{3}{12}=11\frac{1}{4}\)

In decimal form 11.25

Hope this helps!

If not, I am sorry.

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

If the graph of the equation is 2x+4y = -8, then the point that lies on the line is option(B) (-2, -1)

The given equation is

2x + 4y = -8

The first point = (2,4)

2x+4y = -8

Substitute the values in the equation

2×2 + 4×4 = -8

4 + 16 = -8

20 ≠ -8

This point is not lies on the line

The second point = (-2, -1)

2×-2 + 4×-1 = -8

-4 + -4 = -8

-8 = -8

This point is lie on the line

The third point = (2, 1)

2×2 + 4×1 = -8

4 + 4 = -8

8 ≠ -8

This point is not lies on the line

The fourth point = (4,4)

2×4 + 4×4 = -8

8 + 16 = -8

24 ≠ -8

This point is not lies on the line

Hence, if the graph of the equation is 2x+4y = -8, then the point that lies on the line is option(B) (-2, -1)

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Answer:

x = 13

Step-by-step explanation:

As given , the triangle is right angle . So we can use

Pythagoras theorem

       ⇒  a² = b² + c²

            a² = (12)² + (5)²

           a² = 144 + 25

          a² = 169

           After taking square root

            a = 13

    So  

         x = 13

Using the given radius we know that the length of the line BR is 6.5 units.

A circle or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry; in more contemporary usage, it also refers to the length of such line segments.

The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."

The radius of a circle is the separation between its center and circumference.

Always, the diameter is twice the radius. As a result, the formula is created by multiplying the diameter by two.

So, according to the given image:

SP is the perpendicular bisector of line BA.

And line BA is 13 units.

SP intersects BA st R.

Then, the length of BR will be:

= 13/2

= 6.5

Therefore, using the given radius we know that the length of the line BR is 6.5 units.

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The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Answer:

4%

Step-by-step explanation:

There are ₁₃C₃ ways to choose 3 diamonds from 13.

There are ₃₉C₁ ways to choose 1 non-diamond from 39.

There are ₅₂C₄ ways to choose 4 cards from 52.

Therefore, the probability is:

₁₃C₃ ₃₉C₁ / ₅₂C₄

= 286 × 39 / 270,725

≈ 0.04

The approximate probability that exactly three of the cards are diamonds is 4%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.

Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.

₃₉C₁ ways to choose 1 non-diamond from 39.

₅₂C₄ ways to choose 4 cards from 52.

Therefore, the probability is:

₁₃C₃ ₃₉C₁ / ₅₂C₄

= 286 × 39 / 270,725

≈ 0.04

Therefore, the answer could be 4 percent.

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The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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The required equation is 200 + 12x = 644

And, he sold album in last month = 37

What is your definition of cost?

Let last month he sold x album,

Since, the cost of one album = $ 12

The cost of x album = 12 x

Also, the base rate for a month = $ 200

Thus, the total price he get last month = 200 + 12 x

But, according to the question,

200 + 12 x = 644

12 x = 644 - 200

12 x = 444

x = 37

Thus, he sold x = 37 album.

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The complete question is -

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200 a month and an additional \$12$12 for each album that he sells. Last month he earned a total of \$644$644.

Write an equation to determine the number of albums (a)(a) Floyd sold last month.

Find the number of albums Floyd sold last month.

Since the new score is below the current average score, it sure decreases the average score.

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Answer:4.62x10^13

Step-by-step explanation: