The area of this trapezoid is 30.6 ft
What is the height of the trapezoid?

Answer:

511.44 ft^2

966 cm^2

50.88 mm^2

Step-by-step explanation:

6. 196π-13x8=511.44

7. (20+20+12+12)20-100π=966

8. 15x8-1/2(16π)-4x11=50.88

Answer:

E

Step-by-step explanation:

ab is sometimes rational

Step-by-step explanation:

In this case the vertex is a maximum since it's in the shape of a hill not a valley. Vertex is (0,4)

Answer:

Maximum

Step-by-step explanation:

It is the maximum of the graph because it is the highest (MAXIMUM) point on the graph that the line reaches. If it were upside down, and the vertex was at the bottom and was the lowest point of the line, then it would be the minimum.

Answer:

78.54 yd squared

Step-by-step explanation:

3.14(2.5^2)4

3.14(6.25)4

(19.625)4

78.54

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Answer:

540

Step-by-step explanation:

10% of 600 is 60, 600-60 is 540

The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Base salary = $600

10% of $600 = (10/100) x 600 = $60

Net salary = $600 - $60 = $540

Hence "The 10% of $600 will be $60 therefore, the net salary that Mr. Smith will take home will be $540.".

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Answer:

m=undefined

Step-by-step explanation:

(x1,y1)=(4,−3)

(x2,y2)=(4,7)

m=y2−y1/x2−x1

=7−−3/4−4

=10/0

=1/0

=undefined

Answer:

[tex]y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]

Step-by-step explanation:

[tex]y''+y'-2y=x^2,\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{x^2\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{2}{s^3}\\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{2}{s^3}\\ \\(s^2+s-2)Y(s)=\frac{2}{s^3}\\ \\Y(s)=\frac{2}{s^3(s^2+s-2)}\\ \\Y(s)=\frac{2}{s^3(s+2)(s-1)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{2}{s^3(s+2)(s-1)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s^3}+\frac{D}{s+2}+\frac{E}{s-1}\\\\2=s^2(s+2)(s-1)A+s(s+2)(s-1)B+(s+2)(s-1)C+s^3(s-1)D+s^3(s+2)E\\\\2=s^{4} A + s^{4} D + s^{4} E + s^{3} A + s^{3} B + 2 s^{3} D - s^{3} E - 2 s^{2} A + s^{2} B + s^{2} C - 2 s B + s C - 2 C\\\\2=s^{4} \left(A + D + E\right) + s^{3} \left(A + B + 2 D - E\right) + s^{2} \left(- 2 A + B + C\right) + s \left(- 2 B + C\right) - 2 C[/tex]

Solve for each constant

[tex]\begin{cases} A + D + E = 0\\A + B + 2 D - E = 0\\- 2 A + B + C = 0\\- 2 B + C = 0\\- 2 C = 2 \end{cases}[/tex]

[tex]-2C=2\\C=-1[/tex]

[tex]-2B+C=0\\-2B+(-1)=0\\-2B-1=0\\-2B=1\\B=-\frac{1}{2}[/tex]

[tex]-2A+B+C=0\\-2A+(-\frac{1}{2})+(-1)=0\\-2A-\frac{1}{2}-1=0\\-2A-\frac{3}{2}=0\\-2A=\frac{3}{2}\\ A=-\frac{3}{4}[/tex]

[tex]A+D+E=0\\-\frac{3}{4}+D+E=0\\D+E=\frac{3}{4}\\D=\frac{3}{4}-E[/tex]

[tex]A+B+2D-E=0\\-\frac{3}{4}+(-\frac{1}{2})+2(\frac{3}{4}-E)-E=0\\-\frac{3}{4}-\frac{1}{2}+\frac{3}{2}-2E-E=0\\-\frac{3}{4}+1-3E=0\\\frac{1}{4}-3E=0\\\frac{1}{4}=3E\\\frac{1}{12}=E[/tex]

[tex]D=\frac{3}{4}-E\\D=\frac{3}{4}-\frac{1}{12}\\D=\frac{9}{12}-\frac{1}{12}\\D=\frac{8}{12}\\D=\frac{2}{3}[/tex]

Take the inverse transform and find the solution to the IVP

[tex]Y(s)=\frac{-\frac{3}{4}}{s}+\frac{-\frac{1}{2}}{s^2}+\frac{-1}{s^3}+\frac{\frac{2}{3}}{s+2}+\frac{\frac{1}{12}}{s-1}\\ \\y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]

Answer: 2,3,6,7

Step-by-step explanation: I took the test

The statements are true about their balances, is 2,3,6,7 are the correct statement about Rick and Julian balance.

We have given that, Rick put his $200 into a simple interest account at 3.25% interest.

Julian put his $200 into a compound interest account that gives 3% interest compounded annually.

The table below shows their yearly balance after interest has been applied.

The Balance makes personal finance easy to understand. It is home to experts who provide clear, practical advice on managing your money.

Balance   Rick   Julian

deposit    200       200

Year    1 206.50 206.00

Year 2   213.00    212.18

Year 3 219.50   218.55

Year 4   226.00   225.11

Year 5   232.50  231.85

Year 6  239.00   238.81

Year 7  245.50   245.97

Year 8   252.00   253.35

Year 9   258.50   260.95

Year 10   265.00   268.78

We have to determine Which statements are true about their balances.

Statement 2,3,6,7 are true statements about their balances.

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When ethically investing, Taylor should consider qualitative and quantitative data.

Quantitative data is anything that can be counted or measured whereas qualitative data is descriptive,

Ethical investing is a strategy where an investor chooses investments based on a personal ethical code. Hence ethical investing is done using quantitative data such as cost and profit to be made. Also, the qualitative data involved are the type of investment if it is based on the persons ethics.

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Answer:D

Step-by-step explanation:just got it right

Area of base:-

Now

Volume:-

Answer:

the answer is 54 that person is correct i just took the quiz and got 100% to

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

f (x) = 4 - x^2

f (-3)= 4 - (-3)^2

= 4 -(9)

= -5

Answer:

-5

Step-by-step explanation:

f(-3) =4-(-3)^2

=4-9

= -5

Excuse me, sorry for using up your points, but what are the statements?

Answer:

a. 3.4t (miles)

b. 2.125 miles

c. t = 1.6 hours

Step-by-step explanation:

A) We use this relation: Distance = time * speed ( speed or vitesse or rate)

So d= 3.4*t= 3.4t (miles)

B) If t= 5/8

then the distance d= 3.4* 5/8= 2.125 miles.

C) If the distance d= 5.44, we can find the time like:

d= 3.4*t, and we know d=5.44

so 5.44= 3.4*t or t = 5.44/3.4, t= 1.6 hours

Hope you understand it.

Answer:

112.8

Step-by-step explanation:

to round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8  , so 112.786 rounded to the nearest tenth =112.8

The value of the given expression is 112.8.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

To round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal to or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8, so 112.786 rounded to the nearest tenth =112.8

Therefore the value of the given expression is 112.8.

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Answer:

10x6

1x5

.1x9

.01x4

.001x9

Step-by-step explanation:

Answer:

(- 21, - 13 )

Step-by-step explanation:

- 3y + x = 18 → (1)

x = 2y + 5 → (2)

substitute x = 2y + 5 into (1)

- 3y + 2y + 5 = 18

- y + 5 = 18 ( subtract 5 from both sides )

- y = 13 ( multiply both sides by - 1 )

y = 13

substitute y = - 13 into (2)

x = 2(- 13) + 5 = - 26 + 5 = - 21

solution is (- 21, - 13 )

Answer:

$6,482.30

Step-by-step explanation:

150 x 40 (hours per week) = $6,000

6,890 x .07 = $482.30

6,000 + 482.30 = $6,482.30

the roots are - 5 ; 9 and - 1

Number of distinct products that can be formed is 144

Since we need to multiply two different integers to be selected from the set which contains a total of 12 integers. This is a permutation problem since we require distinct integers.

Now, for the first integer to be selected for the product, since we have 12 integers, it is to be arranged in 1 way. So, the permutation is ¹²P₁ = 12

For the second integer, we also have 12 integers to choose from to be arranged in 1 way. So, the permutation is ¹²P₁  = 12.

So, the number of distinct products that can be formed from these two integers are ¹²P₁ × ¹²P₁ = 12 × 12 = 144

So, the number of distinct products that can be formed is 144

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Answer:

c po

Step-by-step explanation:

kasi between 5 days and 7 days in recovery

Answer:

7/10

Step-by-step explanation:

4,5,6,7,8,9,10

7 numbers counting four so 7/10

Answer:

1/4

Step-by-step explanation:

36x=32x-1

We move all terms to the left:

36x-(32x-1)=0

We get rid of parentheses

36x-32x+1=0

We add all the numbers together, and all the variables

4x+1=0

We move all terms containing x to the left, all other terms to the right

4x=-1

x=-1/4

x=-1/4

Though the box plot is not given, the truth about the data set represented by the box plot is removing the outliers would not affect the median.

A box plot gives a graphical (rectangular) representation of statistical data based on the following five values: minimum, first quartile, median, third quartile, and maximum.

Essentially, a box plot has the following five data descriptions:

Thus, the truth about the data set represented by the box plot is removing the outliers would not affect the median.

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Answer:

500 grams is 20 percent of 2.5 kg

Step-by-step explanation:

500*100 = 50,000

50,000/2500=20

500 g is the 20% of 2.5kg.

The percentage is a ratio of number as a fraction over 100.

According to the given question

we have to find the percentage of 2.5 kg

since, 500g = [tex]\frac{500}{1000}[/tex] = 0.5kg

The percentage of a quantity x is given by

percentage = [tex]\frac{Q}{value}[/tex]×100

Substitute, Q = 0.5kg and value = 2.5kg in the above formula

⇒ percentage = [tex]\frac{0.5}{2.5}[/tex]× 100 = 20%

Hence, 500g is the 20% 0f 2.5g.

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