Factor the quadratic trinomial x^2-7x+12

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a = 13

U2 = 6

U3 = -1

U4 = -8

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d = ..?

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#since it gives a lot of number, i will just pick one of the nth term, ill choose U2

Un = a + (n-1)d

U2 = 13 + (2-1)d

6 = 13 + d

6 - 13 = d

d = -7

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• The formula of arithmetic sequence

n = nth term

a = first term

d = common difference

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The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.

Interquartile Range:

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

Range: 8 - 1 = 7

Variance:

We start by determining the mean,

[tex]\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57[/tex]

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

[tex]\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571[/tex]

5.3

Standard Deviation

We take the square root of the variance,

[tex]\sqrt{5.28571} = 2.29906[/tex]

2.3

If you are not familiar with variance and standard deviation, just leave it.

Answer:

the one above is right lol

Step-by-step explanation:

Given:

The cost to install x number of central air conditioning units for a company is given by the function

[tex]C(x)=\dfrac{4000x+1300}{3}[/tex]

To find:

The cost to install 45 air conditioners.

Solution:

We have,

[tex]C(x)=\dfrac{4000x+1300}{3}[/tex]

Putting x=45, we get

[tex]C(45)=\dfrac{4000(45)+1300}{3}[/tex]

[tex]C(45)=\dfrac{180000+1300}{3}[/tex]

[tex]C(45)=\dfrac{181300}{3}[/tex]

[tex]C(45)=60433.3333...[/tex]

[tex]C(45)\approx 60433.33[/tex]

Therefore, the cost to install 45 air conditioners is $60433.33.

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah i guess it is?

Step-by-step explanation:

Answer:

341

Step-by-step explanation:

l=

sin52/320sin123

​ ≈340.572≈341

Answer:

what is the question? please write a question.

Answer:

3π+ 6 = 15.42477796

Step-by-step explanation:

diameter = 6

πd = circumference

6x π = 6π

3π = semi circle

3π+ 6 = 15.42477796

Answer:

[tex]y = 7.3[/tex]

Step-by-step explanation:

Answer:

The group of line segments that could form the other 2 sides of the triangle is;

B. 7 cm and 8 cm

Step-by-step explanation:

The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side

The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm

Let, 'a', and 'b', represent the remaining two sides of the triangle

Therefore, by the triangle inequality theorem, we have;

(1) a + b > 10 cm

(2) 10 cm + a > b

(3) 10 cm + b > a

The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;

7 cm + 8 cm = 15 cm > 10 cm

10 cm + 7 cm = 17 cm > 8 cm

10 cm + 8 cm = 18 cm > 7 cm

9 cm + 10 cm = 19 cm > 10 cm

10 cm + 9 cm = 19 cm > 10 cm

10 cm + 10 cm = 20 cm > 9 cm

Therefore, the possible combination of the other two sides are;

7 cm and 8 cm or 9 cm and 10 cm

However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.

Answer:

B 7cm and 8cm

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

a. 5t+4t =9t

b. t+5+4= t+9

c. 9t

d. 4×5×t= 20t

e. t(5+4)- do the inside the parenthesis first. =9t

the answer would me B and A because the answer isn't 9t so it would be those!! also the boxes on the right you multiply t×5 and t×4 and that would be 5t + 4t =9t

Answer:

Step-by-step explanation:

factor the coefficients into primes

18 = 3 * 3 * 2

42 = 3* 2 * 7

- 12 = - 2 * 2 * 3

The primes that are underlined are 2 * 3 which is 6

The primes not in the brackets are what is inside the brackets.

6(3x^2 + 7x - 2)

Answer:

Yep your very smart

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

since a triangle's total angle is 180 degrees,

(5x + 18) + (3x + 2) + (x + 16) = 180

9x + 36 = 180

9x = 144

x = 16

m<D = (3x + 2)

m<D = 3(16) + 2

m<D = 48 + 2

m<D = 50 (your answer)

Answer:

The months in which the income was greater than the expenses are;

June, July, and August

Step-by-step explanation:

The recorded income and expenses for the bakery are given as follows;

[tex]\begin{array}{cccc}Month&Income \ (\$)&Expense \ (\$)& Difference \ (\$)\\January&1,606&1,664.75 & (58.75)\\February&1,378&1,432.62 & (54.62)\\March&1,225&1,225.00&0.00\\June&2,381&1,995.55&385.45\\July&2,391&2,083.68&307.32\\August&2,187&1,802.63&384.37\end{array}[/tex]

From the difference values obtained in the table above, the months in which the income was greater than the expenses are;

June, July, and August

Answer:

y=180-63-63/2=27degree...in triangle mln

x=180-27-63=90....in triangle mon

Answer:

y=27, x=80

Step-by-step explanation:

∠N= 63°(angles opposite to equal sides)

2∠y+63+63=180°(angle sum property)

2∠y=54°

∠y=27°

27°+63°+∠x=180°(ASP)

∠x=180°-90°=90°

Hope it helps, mark me brainliest pls

Answer:

The volume of the metal is:

[tex]V_{t}=548\: cm^{3}[/tex]

Step-by-step explanation:

First, let's find the volume of the front face of the square:

[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]

The back face is the same, so we have:  

[tex]V_{2}=84\: cm^{3}[/tex]

The volume of the side faces will be:

[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]

[tex]V_{4}=70\: cm^{3}[/tex]

And finally, the volume of the top and bottom side faces of the box will be:

[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]

[tex]V_{6}=120\: cm^{3}[/tex]

The total volume of the metal will be:

[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]

[tex]V_{t}=2(84)+2(70)+2(120)[/tex]

[tex]V_{t}=548\: cm^{3}[/tex]

I hope it helps you!

Answer:

Multiplication

Step-by-step explanation:

7y means 7 times the value of y. So 7 times y = 7y

Click on the image and check the answer

Answer:

I Dont know the answer Sorryyyyyyyyyy

Answer:

Step-by-step explanation:

16c(7g/4c)=28g

Answer:

The answer is 76.97

Step-by-step explanation:

The formula that I used

V=πr^2h

Volume = π·3.52·2 ≈ 76.96902

Answer:76.93

Step-by-step explanation:

Answer:

Step-by-step explanation:

A does 1/6 of the task per hour.

B does 1/9 of the task per hour.

Together, they do 1/6+1/9 = 5/18 of the task per hour, finishing in 18/5 hours.

18/5 = 3.6 hours

Answer:

x = 2

Step-by-step explanation:

Solve for x

x - 1  = -2x + 5

3x = 6

x = 2

Answer: 3

Step-by-step explanation:

1×-2=-2

-2+5=3

-2×1+5=3

I hope this helps, have a good day or night:)

Answer:

Step-by-step explanation:

Look at picture

Answer:

x = 88.333

Step-by-step explanation:

Octagon = 1080 degrees

1080 = 2x + x + 143 + 152 + 116 + 125 + 140 + 139 (Clean up the problem)

1080 - 815 = 3x

265 = 3x (Divide each side by 3)

x = 88.333

Answer:

50 percent

Step-by-step explanation: