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Answer: The tenth term is 76

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Explanation:

We use this arithmetic sequence formula to get the nth term

[tex]a_n = a_1 + d(n-1)[/tex]

Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:

[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]

The tenth term is 76

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

Answer:

9/100

Step-by-step explanation:

9×100 = 9/100 I think

Answer:

You can expand this with this rule:

[tex]a(b+c)=ab+ac[/tex]

Similarly,

[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]

[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]

Answer:

Answer → y = -7x + 12

Step-by-step explanation:

General equation of a line:

[tex] \hookrightarrow \: { \tt{y = mx + c}} \\ [/tex]

From the question;

m is -7

c is 12

[tex]{ \tt{y = - 7x + 12}}[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

Find out more at: https://brainly.com/question/13911928

Answer:

a + b

Step-by-step explanation:

3(a+b)-2(a-b)​

=> 3a + 3b - 2a - 2b

=> a + b

Therefore, a + b is our answer

Answer:

a + 5b

Step-by-step explanation:

3(a + b) - 2(a - b) ← distribute both parenthesis

= 3a + 3b - 2a + 2b ← collect like terms

= a + 5b

Answer:

true

Step-by-step explanation:

because i just finished doing this in geometry

Answer:

Your answer is in the image linked below.

Step-by-step explanation:

When the shape is moved right 2, down 1, you should have this translation,  hope this helps.

Answer:

2/3, 3/4, 7/10, 11/17, 13/17

Step-by-step explanation:

Answer: 60 %

Step-by-step explanation:

Percentage of students passed the test = (number of students who passed the test / total number of students) x 100

                                                                     = 30 / 50 x 100 % = 60 %

Answer: Should be 90

Step-by-step explanation:

Answer:

its multiplication 4 times 3 the product is 12

Step-by-step explanation:

Answer:

[tex]p=\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]-3p+\frac{1}{8}=-\frac{1}{4}[/tex]

Subtract [tex]\frac{1}{8}[/tex] from both sides:

[tex]-3p=-\frac{1}{4}-\frac{1}{8}[/tex]

Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{2}[/tex] and simplify:

[tex]-3p=-\frac{3}{8}[/tex]

Divide both sides by -3:

[tex]p=\frac{3}{24}[/tex]

Simplify:

[tex]p=\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

Parking charge for 2 hours = $ 9

Parking charge for 1 hour = 9/2 = $ 4.50

c = 4.50*p

c = 4.5p

Answer:

X = 2

Step-by-step explanation:

Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0

The line is vertical (undefined

Answer:

B

Step-by-step explanation:

n is a number. 4 less then that number translates to n-4, so the answer is B:

n-4=12

Hope that helps! :)

Answer:

C: n-4= 12

Step-by-step explanation:

To understand why this answer is correct, lets break down the sentence.

Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.

Answer:

slope: 5

y = 25

Step-by-step explanation:

slope is m, and m = 5, so slope is 5.

y-5=5(x+1)...........set up point slope form

y-5=5x+5............distribute 5

y=5x+10..............add 5 to both sides

y=5(3)+10............plug in 3

y=25.....................simplify

Step-by-step explanation:

I am not sure you posted the question correctly.

m is the slope already. this comes from the point slope form

y - y1 = m(x - x1)

where x1, y1 are the coordinates of a point on the line.

so, the slope is 5 (and cannot be <3).

so, using the first point we get

y - 5 = 5(x - -1) = 5(x + 1) = 5x + 5

therefore

y = 5x + 10

for (3, y) we put 3 in as x

y = 5×3 + 10 = 15 + 10 = 25

it is (3, 25) for m = 5.

Answer:

1: AOB is 180 degrees   2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15

Step-by-step explanation:

x = 15

Add up 5x - 15 + 90 + 2x = 180 degrees

FOG = 90 degrees (right angle)

Combine like terms to get 7x + 75 = 180

subtract 75 on both sides to get 7x = 105

Divide both sides by 7 to isolate x to get x = 15

Substitute 15 for every x you see so 5(15) - 15 and 2(15)

5(15) - 15 = 60

2(15) = 30

Hope this works!!! :)

Answer:

mass if the sun is 123

Step-by-step explanation:

I saw the dog take a dump

Answer:

The selling price of one striped lanyard

Answer:

1.

Step-by-step explanation:

5^a = 10

a log 5 = log 10

a log 5 = 1

a = 1 /log 5

a^-1 = log 5

In the same way:

b = 1 / log 2

b^-1 = log 2,

So a^1 + b^-1 = log5 + log 2 = log (2*5)  

= log 10

= 1.

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

Answer:

A. = 100.84 m

B. 571.384 cubic m

Step-by-step explanation:

a.

33.22+33.22+17.2+17.2 =100.84m

b.

33.22x17.2 = 571.384 m2

Answer:

10

Step-by-step explanation:

600 divided by 60 is 10

The length is 5 units.

Answer:

C

Step-by-step explanation:

C

Answer:

c

Step-by-step explanation:

c is the answer to this problem

Answer:

True

Step-by-step explanation:

y < x

y < 2

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Explanation:

The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)

Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)

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At the same time, we're also shading below the line y = x to form the inequality y < x.

So that's how we end up with this system

[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]

which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.