Your team decides to erect 8 tent frames that can each hold a tarp to provide shade and cover if needed. The area under each tarp is 25 feet wide and 40 feet long, and the top of the tarp will run the length of your seating area. Your tarp needs a slope of to allow runoff in case of rain. The frame will be 10 feet high around the outside.

How high does the center of the frame need to be?​

Answer:

h(x) = 6x² - 10x - 4

Step-by-step explanation:

h(x) = f(x) g(x)

       = (2x - 4)(3x + 1)

each term in the second factor is multiplied by each term in the first factor, that is

2x(3x + 1) - 4(3x + 1) ← distribute parenthesis

= 6x² + 2x - 12x - 4 ← collect like terms

= 6x² - 10x - 4

that is h(x) = 6x² - 10x - 4

Answer:

D

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by its reciprocal.

6 ÷ 1/3

= 6 x 3/1

= 6 x 3

= 18

The number of sections of the board Shara has when she is finished cutting is 18 sections.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Length of the board = 6 feet

Length of the section = 1/3 feet

The number of 1/3 feet sections.

= 6 ÷ 1/3

= 6 x 3

= 18

Thus,

Shara when she is finished cutting will have 18 sections.

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Payment Every Month =  $2,514.58

Total of 1 Payments =  $2,514.58

Total Interest               =  $14.58

What is simple intertest ?

Simple interest is calculated based on the principal of a loan or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accumulated.

Solution:

Principal value = $2500

Interest rate = 7%

Time = One month

Formula for simple interest calculation:

                                                                [tex]=\frac{Principalamount*rate *time}{100} \\=\frac{2500*7*(\frac{1}{12}) }{100}\\ =14.588[/tex]

Total Simple interest on $2500 for month $14.588.

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Postulate: SAS

Similarity statement: [tex]\triangle CAB \sim \triangle EDF[/tex]

There is not enough evidence at the 0.02 level that the doors are either too long or too short. So, the null hypothesis is accepted.

Using the p-value approach for the hypothesis test, whether the null hypothesis is rejected or accepted.

It is given that,

Sample size n = 17

Sample mean X = 2069

Standard deviation σ = 24

Population mean  μ = 2058

Significance level α = 0.02

Hypothesis:

The null hypothesis: H0: μ = 2058

The alternative hypothesis: Ha: μ ≠ 2058

So, the z-test score for the given distribution is,

z-score = (X - μ)/(σ/√n)

On substituting,

z-score = (2069 - 2058)/(24/√17)

            = 11/5.82

            = 1.89

Thus, the p-value for the z-score of 1.89 is 0.0587 ≅ 0.06.

Since 0.06 > 0.02(significance level), the null hypothesis is accepted. So, there is no sufficient evidence that the doors are either too long or too short.

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Answer:

or in interval notation [-2,∞)

Answer:

B

hope this helps :)

Answer:

D

Step-by-step explanation:

to find the zeros, equate f(x) to zero, that is

(x - 7)(x + 8) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 8 = 0 ⇒ x = - 8

Answer:

84

Step-by-step explanation:

Total students he surveyed: 27

Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)

This means that [tex]\frac{14}{27}[/tex] found it something other than easy

Multiply that by 162 to find the proportion for the larger population:

162 * (14/27), and we get 84.

Answer:

Below.

Step-by-step explanation:

12.  That is a semicircle

The central angle is 180 degrees.

The solution for the given equation X^3 + Y^2 = 971,028. So, option A is correct.

A multiple of a number is the number whose remainder is 0 when divided by the given number.

Consider 'a' as the multiple of a number 'n'.

Then, a ÷ n = b (and remainder = 0)

It is given that,

X = largest 2-digit multiple of 3 which is not a multiple of 5

⇒ X = 99

Y = smallest 2-digit multiple of 9 which is not a multiple of 6

⇒ Y = 27

Then, substituting the values in the given equation,

= X^3 + Y^2

= (99)³ + (27)²

= 970,299 + 729

= 971,028

Therefore, the value of the given equation is 971,028.

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Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

We substitute into our equation above.

Speed = Distance ÷ time

70 miles per hour = 400 mile ÷ Elapsed time

Elapsed time = 400 miles ÷ 70 miles per hour

Elapsed time = 5.7 hours

Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours.

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Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

[tex](y-2)= 2(x-(-1))[/tex]

[tex](y-2)=2(x+1)[/tex]

[tex]y-2=2x+2[/tex]

[tex]y=2x+4[/tex]

Answer:

1 - 3090

2 - 12

3 - 2.16

Step-by-step explanation:

hope you find this helpful...

Answer:

2.5

Step-by-step explanation:

IVE BEEN WATCHING YOUR ACCOUNT STOP STEALING POINTS OR YOUR ACCOUNT WILL BE TERMINATED.

Using proportions, the lengths of the unknown sides are given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the triangles are similar, hence the lengths of it's sides follow the proportion given next:

[tex]\frac{2x}{4} = \frac{5}{x - 3}[/tex]

Applying cross multiplication:

2x(x - 3) = 20

2x² - 6x - 20 = 0

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0.

Then the positive solution is:

x - 5 = 0 -> x = 5.

And the lenghts are:

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Basic nutrients a 12-year-old needs are:

The following are the nine nutrients that a youngster should consume on a daily basis:

Therefore, basic nutrients a 12-year-old needs are given.

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Answer:

32

Step-by-step explanation:

Opposite angles are congruent, so Angle BAC is 58 degrees.

Line KL and FG are perpendicular (forms a 90 degree angle), so Angle ABC is 90 degrees.

Points ABC form a triangle, and the interior angles of a triangle must add up to 180 degrees.

Thus, 58 + 90 + Angle BCA = 180. Solving for BCA, we get 32 degrees. Since Angle GCJ is opposite to BCA, x is 32 degrees.

Using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.

According to the question,

One cupcake weighs 3 1/2 ounces. In order to find the number of cupcakes are there in 28 ounce package.

1 cupcake = 7/2 ounces

x cupcakes = 28 ounces

28 = 7/2 * x [cross multiplication]

x = (28*2)/7     [Using division]

x = 8

Hence, using division, the 8 cupcakes are there in 28 ounce package if one cupcake weighs 3 1/2.

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The surface area of a rectangular prism is found as 150 square inches.

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces make up a rectangular prism, and each face has a rectangle shape and twelve edges.

Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.

Calculation for the surface area of rectangular prism-

Height of a rectangular prism => H = 4 inches

Width of a rectangular prism => B = 9 inches

Length of a rectangular prism => L = 3 inches

Surface area of a rectangular prism = 2(LB + BH + HL)

                                                           = 2(9×3 + 9×4 + 4×3)

                                                           = 150

Therefore, the surface area of a rectangular prism is found as  150 square inches.

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Answer:

C) -9

Step-by-step explanation:

x + 19 must be half x + 29 because triangles RBC and RST are similar by SAS and RB is half of RS and RC is half of RT.

2(x + 19) = x + 29

2x + 38 = x + 29

x + 38 = 29

x = -9

its the first one

a system can only be a function if there is only one value of y for each value of x. there cannot be two or more values of y for one single value of x in a function.

The equation of the new function is f'(x) = -|x|

The function is given as:

f(x) = |x|

The rule of flipping the graph over the x-axis

(x, y) = (x, -y)

So, we have:

f'(x) = -f(x)

Substitute f(x) = |x|

f'(x) = -|x|

Hence, the equation of the new function is f'(x) = -|x|

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A = 7M is the equation that might be used to find the unknown side length, M, of the rectangular logo.

We can determine the following details from the query:

Logo= rectangle with a

Length ,L= 7-foot

'A' stands for the logo's area, and 'M' for the side that isn't recognized.

The rectangle's area (A) is computed using:

A = L*W

⇒A = 7*M

(As per query, length, L=7 & W= M)

Consequently, the formula 'A = 7M' might be used to calculate the logo's undetermined side length, M.

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Answer: D and B

Step-by-step explanation:

Formula for two terms = a + b

Therefore,

D and B have two terms aka one plus sign

D. a + c

B. m^4 + 6m

Hi! ❄

  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  

The sum of two terms is what we get after adding these two terms.

If you add two positive terms, you put a + sign in between these terms.

[tex]\sf{Example\!\!:a+b}[/tex]

If you add two negative terms, you put a - sign in between these terms.

[tex]\sf{Example\!\!:a-b}[/tex] (this is the same as [tex]\sf{a+-b}[/tex])

Let's look at the provided choices to see which one works.

It doesn't, because [tex]\sf{xy\neq x+y}[/tex]. In this expression a number x was multiplied by a number y. So this one doesn't check.

One down, three to go.

It does, because [tex]\sf{m^4+6m\stackrel\checkmark{=}m^4+6m}[/tex]. A number m was multiplied by itself 4 times, and then the product of that samee number m and 6 was added to it.

So this one checks.

It doesn't. It is indeed a sum, but we need 2 terms, not 3

So this one doesn't work.

It does, because [tex]\sf{a+c\stackrel\checkmark{=}a+c}[/tex]. So Choice D. also works.

Hope that made sense !!

  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\star\tiny\pmb{calligraphy}\star[/tex]

The speed of the cart begin to decrease at approximately: 3.5 minutes.

A typical time-speed graph shows the time on the x-axis and the speed on the y-axis. When the slope is rising, it means the speed is increasing. When the slope is horizontal, it means the speed is constant. When the slope falls or decline, it means speed is decreasing.

We are given a time-speed graph that shows the speed of a cart over a period of several minutes. Time in minutes is on the x-axis (horizontal axis) while speed in miles per hour is on the y-axis (vertical axis).

From the graph given, the speed of the cart started increasing up to about 3 minutes, since the line slopes upwards. Then, between 3 and 4 minutes, we have a horizontal line which starts to decline at approximately 3.5 minutes.

Therefore, we can conclude that the speed of the cart begin to decrease at approximately: 3.5 minutes.

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There are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

We have,

Five guys.

Now,

We know that,

Total number of ways to arranged around a table (n) = (n-1)!

So,

For n = 5,

I.e.

(n - 1)! = (5 - 1)! = 4!

So,

Total number of ways to arranged Five guys rom oldest to youngest (n) = (n-1)!

i.e.

= (5 - 1)! = 4!

We get,

= 4 × 3 × 2 × 1

i.e.

Total number of ways to arranged Five guys rom oldest to youngest (n) = 24.

Hence we can say that there are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

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Answer: 144 [tex]cm^{2}[/tex]

Step-by-step explanation:

The rectangle's length is twice as long as it's width as the square is folded in half. Let's say that the width's length is x, we get the equation

x + 2x + x + 2x = 36

6x = 36

x = 6 cm

The length of the rectangle is the length of the square which is 2x = 2 * 6 = 12 cm

So the area of the square is 12 * 12 = 144 [tex]cm^{2}[/tex]

The probability of making a type i error is also α = 0.05 or 5% of error.

For the given question,

A Type I error occurs when a significance test results in the rejection of a true null hypothesis. By one common convention, if the probability value is below 0.05, then the null hypothesis is rejected.

The null hypothesis assumes no cause and effect relationship between the tested item and the stimuli applied during the test. The probability of making a type I error is represented by the alpha level (α), which is the p-value below which you reject the null hypothesis.

Thus, If a hypothesis is tested at the α=0.05 level of significance, then the probability of making a type i error is also α=0.05 or 5% of error.

Hence we can conclude that the probability of making a type i error is also α = 0.05 or 5% of error.

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The population would be set of all Christians of that particular church from where the random samples is collected.

According to the questions,

A study was performed with a random sample 3000 people from one church. In order to find appropriate population for generalizing conclusions

The population would be set of all Christians of that particular church from where the random samples is collected.

Hence, the population would be set of all Christians of that particular church from where the random samples is collected.

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Answer:

11/20

Step-by-step explanation:

55% = 55/100

by simplifying this fraction (divide top and bottom by 5), you get 11/20