A basketball player shoots a free throw in a game. The quadratic expression models the height of the ball, in feet, where t is the time, in seconds.

-16t^2 + 25t+7

What does the constant, 7, in the expression represent?
A.
the initial velocity of the ball when the player releases it
B.
the maximum height the ball reaches while in the air
C.
the initial height of ball when the player releases it
D.
the total time the ball spends in the air

[tex]x(x-5)+4(x-5)=0\\\\(x-5)(x+4)=0\iff x-5=0\ \vee\ x+4=0\\\\\boxed{x=5\ \vee\ x=-4}[/tex]

An identical equation is a literal equation that is true for every value of the variable, e.g., the equation (x+1)2=x2+2x+1. A conditional equation (usually referred to simply as an equation) is a literal equation that is not true for all values of the variable, e.g., only the value 2 for x makes true the equation x+3=5.

Alright, so first we find the area of the whole circle using pi r squared

12^2 pi = 144 pi

Now we use the proportions of the sector and the whole circle:

30:360 (degrees; we will be using the same for the other ratio)

= x:144pi

1:12 = x:144

This basically equals

12x = 144

x = 12, and now we multiply pi, so 12 x 3.14 = 37.7 cm^2.

The first option is correct.

Answer: a. 37.7

Step-by-step explanation: a p e x

Answer : C

the total commission (c) a sales associate receives if he sells 15 laptop computers (l)

Total commission = number of laptops * commission for each laptop

Total commission is c

number of laptops  is 15

commission for laptop is l

C = 15 * I

So c= 15l

the commission for selling each computer is $39.95

c= 15l

c = 15 * 39.95 = 599.25

Hi!

If the total for 6 bananas is $3.48, then we would simply divide 3.48 by 6 to get the price for 1 banana. So, 3.48 divided by 6 equals $0.58.

Hope this helps!

Answer: A. An index measures market performance.

Step-by-step explanation:

Years ago, investors needed to analyze the overall performance of the market, so it was necessary to find the best way to know it. For this reason, the "Market index" was created. This is a method that is applied to measure the behavior of the market or, in other words, to measure the market performance. This index is then represented graphically with a curve.

The market index is used to measure market performance.

The term market index refers to an index that is used to measure market performance. It serves as a guide to potential investors in a market.

Hence, the term which best describes the market index is that it is; "An index measures market performance".

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we can mark points on the graph shown , check the image I have shared with this for the points .

Formula for slope = [tex]\frac{Y2-Y1}{X2-X1}[/tex]

So for Line A points are (1,3) and (0,-1)

So using t he formula slope is = [tex]\frac{-1-3}{0-1}[/tex]

                  slope of line A =4

For Line B the points are  (0,4) and (3,-5)

So using t he formula slope is = [tex]\frac{-5-4}{3-0}[/tex]

                  slope of line B = -3

Answer:

7.41, 7.6, 745

Step-by-step explanation:

Answer:

x >= 42$

Step-by-step explanation:

78$ + x >= 120$

78$ + x >= 120$ /-78$

x >= 42$

The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

You have $78 in your savings account. You are buying a computer and the minimum down payment you can make is $120.

Let 'x' be the amount of money you need to reach. Then the inequality is given as,

x + $78 ≤ $120

Simplify the equation, then we have

x + $78 ≤ $120

x ≤ $120 - $78

x ≤ $42

The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.

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Answer:

dividend

Step-by-step explanation:

You are dividing 100 by 25.  The '100' is referred to as the "dividend:" the quantity being divided by the divisor (25).

You need to calculate the average assets in that year, then use the ratio formula:

average assets: (263k+313k)/2 = 288k

ROA = 56k/288k = 0.194...

The company's return on assets is 19.4%

Answer:

268

Step-by-step explanation:

We have been given an expression [tex]23+(7\times 35)[/tex], which represents the total number of students at the game.

We are asked to evaluate the given expression.

[tex]23+(245)[/tex]

[tex]268[/tex]

Therefore, the total number of students at the game is 268.

ANSWER

We can divide in to two rectangles as in the attachment.

We then find the area of each rectangle and add together.

The area of the bigger rectangle is

[tex]A_1= 4\times 8[/tex]

[tex]A_1= 32 m^2[/tex]

The area of the smaller rectangle i

[tex]A_2= 4\times 6[/tex]

[tex]A_2= 24 m^2[/tex]

Hence the area of the figure is

[tex]Area=32+24[/tex]

[tex]Area=56 m^2[/tex]

Answer:

Divide it into a square and a rectangle

The area is 56 m^2

Step-by-step explanation:

First, you have to divide the shape to get easier shapes to find the area. We are going to draw a line and we will get a square and a rectangle. This is in the attachment.

We know that to get the area of a square and a rectangle we use the formula:

A=b*h

where

A is the area

b is the base

h is the height

After drawing the line we get a square of 4m each side and a rectangle with b=10 m and h=4m.

Now we get the area of each of the shapes.

Square:

A = 4m * 4m

A = 16 m^2

Rectangle:

A = 10m * 4m

A = 40m^2

Now we add the area of the rectangle and the area of the square to get the total area:

Total Area = 16m^2 + 40m^2

Total Area = 56m^2

Answer:

The correct option will be:   (b) 7 feet.

Step-by-step explanation:

Suppose, the length of the garden is  [tex]x[/tex] feet.

As the shape of the garden is like a square, then the area of the garden will be: [tex](length)^2 = x^2[/tex] feet²

Given that, the area is 52 square feet. So, the equation will be.......

[tex]x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7[/tex]

So, the approximate length of the garden will be 7 feet.

If you are solving for "h" here you go.

Simplifying

3(2 + -0.9h) + (-1.3h + -4) = 0

(2 * 3 + -0.9h * 3) + (-1.3h + -4) = 0

(6 + -2.7h) + (-1.3h + -4) = 0

Reorder the terms:

6 + -2.7h + (-4 + -1.3h) = 0

Remove parenthesis around (-4 + -1.3h)

6 + -2.7h + -4 + -1.3h = 0

Reorder the terms:

6 + -4 + -2.7h + -1.3h = 0

Combine like terms: 6 + -4 = 2

2 + -2.7h + -1.3h = 0

Combine like terms: -2.7h + -1.3h = -4h

2 + -4h = 0

Solving

2 + -4h = 0

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -4h = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -4h = 0 + -2

-4h = 0 + -2

Combine like terms: 0 + -2 = -2

-4h = -2

Divide each side by '-4'.

h = 0.5

Simplifying

h = 0.5

You're welcome! C:

37,204.190 (I'm sorry if this is wrong I'm not exactly the brightest cookie in the jar :P XD)

The expressions in ascending order of their values when x = -2. D < A < B < C.

Given Equation:

A. (1 - x²)/(1 - 2x) = -0.6

B. (x² - 1)/(1 - 2x) = 0.6

C. (2x² + 2)/2 = 3

D. (3x² + 1)/ 2(x - 1) = -1.16

Therefore, the expressions in ascending order of their values when x = -2.

-1.16 < -0.6 < 0.6 < 3.

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yes 11.5 is bigger than 8.5 by 3

Answer:

Yes

Step-by-step explanation:

Because the first 2 numbers are bigger than the 2nd number

Answer:

122 students (Answer C)

Step-by-step explanation:

40 percent of the 305 total students comes out to 0.40(305 students), or

122 students.

This corresponds to answer C.  122 students play an instrument.

The answer is 190.

If the total amount of glasses is 5 per table and there are 45 total tables, there are 45*5 (225) total glasses before any are broken. 225 - 35 glasses (because they're broken) is 190.

The remaining glass is 190.

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

Given that, the trio is singing a song badly 35 drink glasses are broken, there are 45 tables with 5 glasses each table

If the total amount of glasses is 5 per table and there are 45 total tables, then,

there are 45*5 (225) total glasses before any are broken.

225 - 35 glasses (because they're broken) is 190.

Hence, The remaining glass is 190.

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x= 2/3

ik because i had the same question hope it will help.

Gotcha!

If you would like for me show my work just let me know.

The answer would be x=2/3 or x=0.666.....

A tennis court is a rectange.

The area of a rectange is equal to length * width.

A = l*w

2808 = l * 36 (Divide both sides of the equation by 36)

L = 78

The area of a 2D form is the amount of space within its perimeter. The length of the court is 78 ft.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the arena of a tennis court is 2808 square feet, while the width of the court is 36ft wide. Therefore, the length of the arena can be written as,

Area of court = Length of the court × Width of the court

2808 sq. feet = Length of the court × 36 feet

Length of the court = 2808 ft² / 36 ft

Length of the court = 78 ft

Hence, the length of the court is 78 ft.

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The value of the 5 in 5,675.321 could be either five thousands or 5 ones...

Not sure which one so I put both... hope this helps. Let me know if not and / or you need any more help. :)

The value of 5 is Millions.

To help I will define all the numbers for you to help better understand.

5 is million, 6 is hundred thousands, 7 is ten thousand, 5 is thousand, 3 is tenths, 2 is hundredths, 1 is thousandths.

For this case we must solve the following equation:

[tex]\frac {2} {3x} = 12[/tex]

We multiply by 3x on both sides of the equation:

[tex]2 = 12 * 3x\\2 = 36x[/tex]

We divide between 36 on both sides of the equation:

[tex]x = \frac {2} {36}[/tex]

We simplify:

[tex]x = \frac {1} {18}[/tex]

Answer:

[tex]x = \frac {1} {18}[/tex]

 550+  3+600 -250=

add the finance charges and the purchases and subtract the payment

1153-250=

903

Answer:

903

Step-by-step explanation:

550+3+600=1,153

1,153-250=903

P = P₀ (1 + r)ⁿ

  = 1.17(1 + 0.09)⁵

  = 1.17(1.09)⁵

  = 1.17(1.5386)

  = 1.80

Answer: $1.80

Note: If you don't know the formula, you could calculate each year.

Year 0: $1.17

Year 1: $1.17 + $1.17(0.09)  = $1.2753

Year 2: $1.28 + $1.28(0.09)  = $1.3948

Year 3: $1.39 + $1.39(0.09)  = $1.5155

Year 4: $1.51 + $1.51(0.09)  = $1.6464

Year 5: $1.65 + $1.65(0.09)  = $1.7982   which rounds up to $1.80

The value of the coin after 5 years is $188.33.

To find the value of the coin after 5 years, we can apply the compound interest formula. First, convert the initial value of $1.17 to $117 (since we are dealing with percentages). Next, calculate the value after 5 years using the formula: future value = present value × (1 + growth rate)^n. Plugging in the values, we have: future value = $117 × (1 + 0.09)^5 = $117 × 1.6097 = $188.33.

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In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city.

We assume at 2000, t=0.

When t=0  then  gamma ray bursts y= 6.4 million. that is (0,6.4)

In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million

In 2005 , t= 5

When t=5  then  gamma ray bursts y= 7.3 million. that is (5, 7.3)

Frame an equation using  (0,6.4)  and (5, 7.3)

Use equation y = a(b)^t and solve for a  and b

(0,6.4)  => [tex]6.4=a(b)^0[/tex] so a= 6.4

(5, 7.3) => 7.3=6.4(b)^5

[tex]\frac{7.3}{6.4} = b^5[/tex]

Now take fifth root on both sides

b= 1.0266

So the equation becomes [tex]y= 6.4(1.0266)^t[/tex]

Now we need to find out t  when gamma ray bursts 1 billion

1 billion = 1000 millions

So we replace y by 1000 and we solve for t

[tex]y= 6.4(1.0266)^t[/tex]

[tex]1000= 6.4(1.0266)^t[/tex]

Divide by 6.4  and take ln on both sides

[tex]ln(\frac{1000}{6.4} )= ln(1.0266)^t[/tex]

We move the exponent 't' before ln

[tex]ln(\frac{1000}{6.4} )=t * ln(1.0266)[/tex]

Now divide both sides by ln(1.0266)

[tex]\frac{ln(\frac{1000}{6.4})}{ln(1.0266)} =t[/tex]

t = 192.419

It will take around 192 years

2000+ 192= 2192

 In 2192, the gamma ray bursts is 1 billion

Final answer:

Iona spent $8.75 on peaches after buying 3.5 pounds at $2.50 per pound at the local Farmers Market.

Explanation:

Iona's favorite peaches cost $2.50 per pound at the local Farmers Market, and she purchased 3.5 pounds of peaches. To calculate the total cost, we multiply the price per pound by the number of pounds purchased:

Total cost = Price per pound × Number of pounds

Total cost = $2.50 × 3.5

Total cost = $8.75

Therefore, Iona spent $8.75 for the peaches at the local Farmers Market.

there are 1000 mega bytes in a gig and bits is 100,000 i believe

Remark

There are 1000 bytes in 1 kilobyte

There are 1,000,000 bytes in a megabyte

There are 1,000,000,000 bytes in a Gigabyte.

There are 8 times as many bits as bytes in Gigabyte = 8 * 1,000,000,000 = 8,000,000,000 bits.