The function g(x) is the height of a football x seconds after it is thrown in the air. The football reaches its maximum height of 28 feet in 6 seconds, and hits the ground at 12 seconds.

What is the practical domain for the function f(x)?

Type your answer in interval notation.

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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We know that

• Large shelves require 40 pounds.

• Small shelves require 30 pounds.

• The company has only 400 pounds of metal.

• The selling price of each large shelf is $80.

• The selling price of each small shelf is $49.

First, let's make a table with the given data of the problem, this will help you organize it.

From the given information, we can define the following constraints.

These constraints form the following region:

To find the maximum income possible, we have to evaluate the income function at (0,13.333) and (10,0).

Observe that we formed the income function using the table above. Now, let's evaluate it at each point.

Davida's federal income tax, given that she is a single parent and her salary, is $ 6, 170.

John's federal income tax, based on the tax table, would be $10, 230.

To find Davida's tax, look for the range that her gross earnings last year, falls under on the tax table as a Head of Household. The amount of $ 53, 337 would fall under 53, 300 and 53, 350 which would make her tax $ 6, 170.

John is single and his earning of $ 65, 337 puts him in the range of 65, 300 and 65, 350 which means his federal income tax is $10, 230.

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Given

The temperature at the South Pole was 1°F at 8:00 AM. At 2:00 PM, it was -35°F.

Answer

Temperature at 8 : 00 am = 1F

Temperature at 2 : 00 Pm = -35 F

Difference = -35 - 1 = -36 F

Temperature at 5 : 00 PM = -53

Answer:

x = -3

Step-by-step explanation:

I assume we're solving for x.

9x -5x = -12

Combine like terms.

4x = -12

Divide both sides by 4.

x = -3

Answer:

7 1/12 cups of flour

Step-by-step explanation:

2/3 + 1/4 = (8 + 3)/12 = 11/12

8 - 11/12 = 85/12 = 7 1/12 cups

Answer:

To determine the velocity of the roller coaster as it moves down, we use the kinematic equation which is expressed as 2gy = vf^2 - v0^2 where g is the gravitational acceleration, y is the elevation of the roller coaster, vf and vo are the final and initial velocity. We calculate as follows:

2gy = vf^2 - v0^2

Since it starts at rest, v0 is zero.

2gy = vf^2

vf = √2gy

vf = √2(9.8)(101)

vf = 44.5 m/s ----> option B

Step-by-step explanation:

Answer:

the answer is 216 square feet because if you multiply 8 ×3=24 and 24×9=216.

The length of side CA is right triangle ABC, 8.86 centimeters

In this question, we have been given triangle ABC has a right angle at C.

This means, AB is the hypotenuse of right triangle ABC.

measure of angle A = 41 degrees

and the length of side BC = 7.7 centimeters

We need to find length of CA

Consider sine of angle A.

sin(A) = opposite side/hypotenuse

sin(41°) = BC/AB

0.6561 = 7.7 / AB

AB = 7.7/0.6561

AB = 11.74

Applying Pythagoras theorem,

AB² = BC² + AC²

11.74² = 7.7² + AC²

AC² = 11.74² - 7.7²

AC = √(78.53)

AC = 8.86 centimeters

Therefore, the length of side CA is right triangle ABC, 8.86 centimeters

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Answer:

llll, Vl, Vll

Step-by-step explanation:

Answer:

46/3

Step-by-step explanation:

|2a| - b/3

Plug in the values and evaluate.

|2(7)| - (-4)/3

|14| + 4/3

Apply | a | = a

14 + 4/3

42/3 + 4/3

= 46/3

Answer: The answer would be 6!

Less than 2 units separate the median from the lower quartile for customers making purchases. The correct option is E.

Quartile deviation: The three values known as quartiles divide sorted data into four equal-sized portions, each with an equal number of observations. An example of a quantile is a quantile. First quartile: Also referred to as the lower quartile or Q-1. The median or second quartile is also referred to as Q-2. Third quartile: Also referred to as the higher quartile or Q-3.

Half of the difference between the upper and lower quartiles can be used to define the quartile deviation analytically. Here, the upper quartile (Q-3) and lower quartile (Q-1) can be used to depict quartile deviation as the letters Q-D. The term "quartile deviation" is sometimes used to refer to the semi-interquartile range.

The coefficient of quartile deviation serves as a gauge for a collection of data's variability or spread. It is determined by taking the square root of the difference between the upper and lower quartiles, squaring the result, and dividing it by two. Comparing data sets is simple because it is expressed as a percentage.

Therefore, the correct answer is option E.

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Answer:

Let's simplify step-by-step.

3(2y−9)−(5y+4)

Distribute the Negative Sign:

=3(2y−9)+−1(5y+4)

=3(2y−9)+−1(5y)+(−1)(4)

=3(2y−9)+−5y+−4

Distribute:

=(3)(2y)+(3)(−9)+−5y+−4

=6y+−27+−5y+−4

Combine Like Terms:

=6y+−27+−5y+−4

=(6y+−5y)+(−27+−4)

=y+−31

Answer:

=y−31

Step-by-step explanation:

Let the function be (3x+15)/(6-x) then the value of x exists at -5.

Given: Rational Expression (3x+15)/(6-x)

To find the value of x when given a rational expression equivalent to 0.

To estimate the value of x, convey the variable to the left side and convey all the remaining values to the right side. Simplify the values to estimate the result.

Consider, (3x+15)/(6-x) = 0

3x + 15 = 0(6-x)

3x + 15 = 0

Subtract 15 from both sides of the equation, e get

3x + 15 - 15 = 0 - 15

simplifying the above equation, we get

3x = 0 - 15

3x = -15

Divide both sides by 3, then we get

x/3 = -15/3

x = -5

Therefore, the value of x exists at -5.

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The markup amount of the purchase is $1114

From the question, we have the following parameters that can be used in our computation:

Discount = 30%

Selling price = $780

The markup amount is calculated using the following equation

Selling price = Markup amount * (1 - discount)

Make the markup the subject

Markup = Selling price/(1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Markup = 780/(1 - 30%)

Evaluate

Markup = 1114

Hence, the markup is $1114

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Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

1/12

Step-by-step explanation:

Hope it Helps!

1/12

Step-by-step explanation:

1/6 ÷ 2 = 1/12

Hope this helps, have a good day : )!

Answer:

60°

Step-by-step explanation:

they are equal.....

movies 1.75 each

games 5.75 each

Answer:

There are 30 students in class

Step-by-step explanation:

Let x be the total number of students

Then according to the given statement,

40% of x is 12

this can be expressed mathematically as:

\(12 = 40\%\ of\ x\\12 = 0.40 * x\)

we can simply use this equation to find the total number of students

\(12 = 0.40x\)

Dividing both sides by 0.40

\(\frac{0.40x}{0.40} = \frac{12}{0.40}\\x = 30\)

Hence,

There are 30 students in class

Answer:

b = -2

a = 1

Step-by-step explanation:

Check the picture

Answer:

Step-by-step explanation:

This is a Law of Sines problem. The expanded formula is

\(\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}\) where the capital letters are the angles and the lowercase letters are the side lengths. We only use 2 of these ratios at a time. And in order to do that, we can only have one unknown per set of ratios. I have angle A and side a, so I'll use that ratio, but I don't have angle C to help me find side c. I also don't have angle B. But I do have side b, so I'll use the A and B sin stuff and then solve for C indirectly.

\(\frac{sin15}{9} =\frac{sinB}{12}\) to solve for angle B. Cross multiply:

\(sinB=\frac{12sin15}{9}\)

\(sinB=.3450926061\)  Use the inverse and sin keys on your calculator (in degree mode) to get that

B = 20.2°.  Now that we have that, we can find the measure of angle C:

180 - 15 - 20.2 = 144.8°

Now we can use the sin ratio involving the angle C, side c (our unknown), and angle A and side a:

\(\frac{sin144.8}{c}=\frac{sin15}{9}\) and cross multiply to solve for c:

\(c=\frac{9sin144.8}{sin15}\) gives us that

c = 20.0

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Answer:

∠FJH ≅ ∠BJA

Step-by-step explanation:

From the given image, we notice that the only congruent relation ∠FJH has is with ∠BJA.

Where ∠BJA is vertically opposite to ∠FJH

Hence, we can say that ∠FJH ≅ ∠BJA since both these angles are vertically opposite

Answer: \((x-3)^2+(y+4)^2=64\)

Step-by-step explanation:

The equation of a circle is \((x-h)^2+(y-k)^2=r^2\). h and k are the points of the center corresponding with x and y respectively. r is radius. All we have to do is plug the values in.

\((x-3)^2+(y-(-4))^2=8^2\)

With our values plugged in, we can now simplify.

\((x-3)^2+(y+4)^2=64\)

Therefore, our final equation is \((x-3)^2+(y+4)^2=64\).

Answer:

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation:

Answer:

8,677

Step-by-step explanation:

because the chemical in 87b is the same as 17yu so it would be 8,677.