An umbrella is in the shape of a regular octagon as shown. The umbrella is separated into sections, as shown by the dashed lines that intersect in the center of the octogon. What is the value of x?

A: 22.5 degrees
B: 37.5 degrees
C: 45 degrees
D: 50 degrees

Answer:

Time to highest point: 5/2, or 2.5 seconds

Ordered pair: (5/2, 50)

Step-by-step explanation:

Find the vertex of h(t). This will be the highest point of the ball

Find the x coordinate of the vertex with the formula: x = -b/(2a)

x = -40/[2(-8)] = -40/-16 = 5/2

to find the y value, plug 5/2 into the equation and solve

h(5/2) = -8(5/2)² + 40(5/2)

   h(5/2) = -8(25/4) + 200/2

          h(5/2) = -200/4 + 100

             h(5/2) = 50

So the ball reached a maximum height of 50 feet

Final answer:

It takes 2.5 seconds for the ball to reach its highest point. The ordered pair representing the highest point is (2.5, 50), where the ball reaches a height of 50 meters.

Explanation:

The equation h = -8t^2 + 40t describes the height of a ball thrown into the air over time, where h is the height above the ground and t is time in seconds. To find how many seconds it takes for the ball to reach the highest point, we find the time at which the vertex of the parabola occurs since the vertex represents the maximum height.

We know that the ball will reach its highest point halfway between the times when it is at ground level (i.e., when h = 0). Factoring the quadratic equation 0 = -8t^2 + 40t gives us:

0 = t(-8t + 40)

0 = t(0, -8t + 40)

Setting each factor equal to zero gives us two values of t:

t = 0 s (when the ball is first thrown)

-8t + 40 = 0 => t = 5 s (when the ball hits the ground again)

Thus, the time to reach the highest point is halfway between 0 s and 5 s, which is 2.5 seconds.

The ordered pair representing the highest point is found by substituting t = 2.5 s into the original equation:

H = -8(2.5)^2 + 40(2.5)

H = -50 + 100

H = 50 meters.

Therefore, the ordered pair representing the highest point the ball reaches is (2.5, 50).

Irrational numbers just means that it isn’t rational so this means that A is true. If you look up a chart with irrational,rational,real, and integer it will show that all whole numbers are integers so this means B is true. C is false. Same thing about B proves that D is true. SHORT ANSWER: C is false. I hope this helps.

In  the given statement D is false.

What is Rational number ?

In mathematics, a rational number is any number that can be written as a fraction, in which the numerator (the top number) and the denominator (the bottom number) are both integers, and in which the numerator is not equal to zero. In other words which can be written in p/q form.

It is rational to consider integers as rational numbers, not as irrational, because all integers, whether positive or negative, or zero can be written as p/q, for example, 2, 3 and 5 are rational because they can be written as 2/1, 3/1 and 5/1 respectively.

Due to the fact that the rational numbers as well as the irrational numbers can be added together, we can derive real numbers. This means that all real numbers are not rational numbers, since they contain irrational numbers as well.

Hence, the given statement D is false.

Read more about Rational number here :

https://brainly.com/question/24398433

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Answer:

The correct answer is 15x⁶ - 20x⁵ + 10x⁴

Step-by-step explanation:

The given expression is  -5x⁴ (-3x² + 4x - 2)​

Points to remember:

xᵃ * x ᵇ = xᵃ⁺ᵇ

To find the simplified expression

-5x⁴ (-3x² + 4x - 2)​ = (-5x⁴ * -3x²)  + (-5x⁴  *  4x ) - (-5x⁴  * 2)​

 = 15x⁴ ⁺² - 20x⁴ ⁺ ¹ + 10x⁴

 = 15x⁶ - 20x⁵ + 10x⁴

Therefore -5x⁴ (-3x² + 4x - 2)​ = 15x⁶ - 20x⁵ + 10x⁴

Answer:

15x⁶-20x⁵+10x⁴ is the simplification of this expression.

Step-by-step explanation:

We have given the expression:

-5x⁴(-3x²+4x-2)​

We have to simplify this expression.

-5x⁴(-3x²+4x-2)​

-5x⁴(-3x²)+(-5x⁴)(4x)+(-5x⁴)(-2)

15x⁴⁺²-20x⁴⁺¹+10x⁴

15x⁶-20x⁵+10x⁴

15x⁶-20x⁵+10x⁴ is the answer.

You can factor 12 from both terms to get

[tex]24x+12 = 12(2x+1)[/tex]

Answer: 6 cups of milk

Step-by-step explanation:

1 cup =10 cookies

60 cookies divided 10 cookies= 6cups

Answer:

The percent increase was [tex]16\%[/tex]

Step-by-step explanation:

we know that

Using proportion

Let

x------> the percent increase

[tex]\frac{100\%}{\$4,500}=\frac{x\%}{\$5,220-\$4,500} \\ \\x= 720*100\%/4,500\\ \\x=16\%[/tex]

The profit from Bill's lawn mowing service increased from $4,500 to $5,220, which is a 16 percent increase.

To calculate the percent increase in Bill's lawn mowing service profit, we would subtract the original profit from the new profit and then divide by the original profit. Finally, we multiply by 100 to get the percentage.

Original Profit = $4,500
New Profit = $5,220
Profit Increase = New Profit - Original Profit = $5,220 - $4,500 = $720

Percent Increase = (Profit Increase / Original Profit) x 100
Percent Increase = [tex]\frac{720}{4500}[/tex] x 100
Percent Increase = 0.16 x 100
Percent Increase = 16%

Therefore, the profit increased by 16 percent.

Answer: A = L x W

Step-by-step explanation:. Mrs. Jackson should use the formula to calculate area in order to figure out how much paper to buy. The formula is Area = Length x Width. This will tell her exactly how much paper she will need to cover the bulletin board.

Answer:

Step-by-step explanation:

Something of this size could be measured in either ft² or in².

Area of a rectangle is determined by multiplying the width by the height.  In this case the bulletin board will be installed vertically, so let's say that

Area of board = (width)(height)

If, for example, the width were 6 feet and the height 3.5 feet, the area of this board would be (6 ft)(3.5 ft) = 21 ft²

Since 1 ft = 12 in, this 6 foot by 3.5 foot board would be 72 inches by 42 inches.

Answer: Option D

Step-by-step explanation:

The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b the y-intercept.

Solve for y from both equations:

[tex]5y=-3x+9\\y=\frac{-3}{5}x+\frac{9}{5}[/tex]

[tex]5y=-3x+15\\y=\frac{-3}{5}x+3[/tex]

As you can see, the slopes of the lines are equal, therefore, they are parallel.

If the lines are parallel then the system of equtions has no solution.

Answer:

Choice D  is correct answer.

Step-by-step explanation:

We have given a system of equations.

3x + 5y = 9                             eq(1)

3x + 5y = 15                          eq(2)

We have to find the description of the solution of equations.

y = mx+c is the slope-intercept of equation of line where m is slope and c is y-intercept.

Eq(1) can be written as:

y = -3/5x + 3 where slope is -3/5.

Eq(2) can be written as:

y = -3/5x+5 where slope is -3/5.

Equations with equal slopes are of parallel lines and parallel lines have no solution.Hence, system has no solutions.

Choice D  is correct answer.

Answer:

The answers for your two question problem are:

a. He should  charge $7 dollars

b.   Maximum value : f(5) = 130

      Minimum value : f(2) = -32

Step-by-step explanation:

First problem

*When he charges $9 , the numbers of customers are an average of 1000

This means the revenue is

1000*$9  = $9000

*When he charges $7 , the numbers of customers are an average of 1500

This means the revenue is

1500*$7  = $10500

Since

$10500 > $9000

The owner should charge $7, to attract more customers and get higher revenue.

Second problem

f(x) = 2x^3 − 24x

To easily solve this problem, we can graph the equation using a calculator or any plotting tool.

Please, see attached picture

The highest point of the graph, in the interval [-3,5] corresponds to

f(5) = 130

and the lowest point :

f(2) = -32

Answer:

The % is 33.3%

Step-by-step explanation:

Due to:

If 600 is the 100%, then 200 what  % is?

600 ---> 100%

200 ---> %?

% = [(200)*(100)]/[600]

% = 33.3%

Best regards

g mowed 5 lawns and earned $150

Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.

It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.

Given

Gabe charges $30 to mow a lawn.

Nate charges $25 to mow a lawn.

Their total combined revenue one summer was $2020.

Nate mowed 6 more lawns than Gabe.

Let the number of lawns mowed by Gabe be [tex]\rm x[/tex].

Then the number of lawns mowed by Nate be [tex]\rm x + 6[/tex].

Then the equation will be

[tex]\rm 30x + 25(x+ 6) = 2020[/tex]

On simplifying, we have

[tex]\begin{aligned} \rm 30x + 25x + 150 &= 2020\\\\\rm 55x &= 1870\\\\\rm x &= 34\end{aligned}[/tex]

Thus, Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

47.67%

Step-by-step explanation:

Amount of 1st solution = 9 ml

Let the percentage acid concentration of 1st solution is x%

Amount of 2nd solution = 8 ml

Percentage acid concentration of 2nd solution = 42%

Percentage acid concentration of the mixture = 45%

Amount of the mixture = 8 + 9 = 17 ml

1st Solution + 2nd Solution = Mixture

x% of 9 ml + 42% of 8 ml = 45% of 17 ml

[tex]0.09x + 3.36 = 7.65\\\\ 0.09x = 7.65 - 3.36\\\\ 0.09x = 4.29\\\\ x = \frac{4.29}{0.09}\\\\ x = 47.67[/tex]

Thus, the percent acid concentration of first solution is 47.67%

answer is

= 1.312.53 ft²

Since p = 60 we can plug 60 into the equation.

so instead of (p / 20) x 4 it's (60 / 20) x  4 which equals 12 minutes.

Hope this helped!

Answer:

Your answer is 8x3 + 26x2 − 32x + 6

So it's (c)

Answer: A) 8 x 3 + 26 x 2 − 32 x + 6

Step-by-step explanation:

Answer: b=14.7

Step-by-step explanation:

Answer: b=7.5

Step 1: Cross-multiply.

7/5 = 10.5/b

7*b=(10.5)*(5)

7b=52.5

Step 2: Divide both sides by 7.

7b/7 = 52.5/7

Therefore:

b=7.5

Please give me a brainlist :)

Answer:

(x+10)^2-100

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term to complete the square. Hope this helps :)

Answer:

x = 6

Step-by-step explanation:

Complementary angles = angles that add up to 90 degrees.

Therefore 8x - 30 + 5x + 42 = 90

13x + 12 = 90

Subtract 12 from both sides and then divide each side by 13.

x = 6

1. The answer would be -1 because the variable term is -y which can also be written as -1y and the coefficient is the number before the variable.

2. The answer would be 19. If you plug 3 into the equation for x you would get 4 + 5(3). Five times three is 15, and 15 plus 4 is 19.

10.54cm2

Answer:

the answer is 10.54 cm2

Step-by-step explanation:

Answer:

John = $1220.19

Cayden = 1161.62

Step-by-step explanation:

To find how much they'll both get, we can use the formula:

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

First let's start with John.

P = 1000

r = 4% or 0.04

t = 5

n = 4 (Quarterly)

[tex]A=1000(1+\dfrac{0.04}{4})^{4(5)}[/tex]

[tex]A=1000(1+0.01)^{20}[/tex]

[tex]A=1000(1.01)^{20}[/tex]

[tex]A=1220.19[/tex]

Now let's compute for Cayden's.

P = 1000

r = 3% or 0.03

t = 5

n = 12 (Monthly)

[tex]A=1000(1+\dfrac{0.03}{12})^{12(5)}[/tex]

[tex]A=1000(1+0.0025)^{60}[/tex]

[tex]A=1000(1.00.25)^{60}[/tex]

[tex]A=1161.62[/tex]

The monthly compounding gets more yield compared to the quarterly compounding due to the number of times the amount of times it increases per year.

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line in the standard form:

[tex]6x+4y=8[/tex]

Convert to the slope-intercept form:

[tex]6x+4y=8[/tex]          subtract 6x from both sides

[tex]4y=-6x+8[/tex]           divide both sides by 4

[tex]y=-\dfrac{6}{4}x+\dfrac{8}{4}[/tex]

[tex]y=-\dfrac{3}{2}x+2[/tex]

Answer:

C.

Step-by-step explanation:

The answer is C since the y intercept is 20.

Answer:

Statement C is true.

Step-by-step explanation:

In this question we will go through each statement.

(A). The equipment starts producing items after about 25 minutes of warning up -  False

Because machine takes 20 minutes to produce the items.

(B). Each item requires about 12 minutes of production time - False

(C). The equipment starts producing items after about 20 minutes of warming up - True

(D) Each item requires about 3 minutes of production time. - False

Answer:

-1/3

Step-by-step explanation:

The slope of the line has the form y = mx + b where m is the slope. Here the slope is m = 3. A line perpendicular to it will have a negative reciprocal slope. The negative reciprocal of 3 is -1/3.

Answer: The answer is A

Answer:

10 Packages.

Step-by-step explanation:

8 * 10 = 80

Final answer:

To find out how many packages of hot dogs Chloe needs to buy, divide the total number of hot dogs she needs by the number of hot dogs in each package. Chloe needs to buy 10 packages of hot dogs.

Explanation:

To find out how many packages of hot dogs Chloe needs to buy, we need to divide the total number of hot dogs she needs by the number of hot dogs in each package.

80 hot dogs ÷ 8 hot dogs per package = 10 packages

Chloe needs to buy 10 packages of hot dogs.

Add 1 to both sides

h/6 = -3 + 1

Simplify -3 + 1 to -2

h/6 = -2

Multiply both sides by 6

h = -2 * 6

Simplify 2 * 6 to 12

h = -12

Answer:

this is a whole math test which question do you need help with

Step-by-step explanation: