What is the ninth term of the arithmetic sequence defined by the rule below?A(n)= -14+(n-1)(2)

Answers

Answer 1
Answer: We need to just plug in n = 9 into the rule to find out the 9th term.

A(9)= -14+(9-1)(2)

Subtract 9-1
A(9) = -14+(8)(2)

Multiply 8*2
A(9) = -14+16

Add -14+16, which is the same as 16-14
A(9) = 2

The 9th term is 2.



Answer 2
Answer: A(9) = -14 + (9-1)(2)
A(9) = -14 + (8)(2)
A(9) = -14 + 16
A(9) = 16 - 14

A(9) = 2

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Which is greater 3.95, 3 5/6, 3 4/5

How do answer this ?

Answers

1) the x-axis is the number of hours ; the y-axis is the number of miles

2) the x-axis is the number of minutes; the y-axis is number of gallons

:)

What is even the question

If an equation does not need the distributive property, what should you look for next?

Answers

Answer:

Proceed the next step, then. Whether it is sum/subtract the addends, whether it is subtract. Then isolate the variable, aiming to find out the quantity of x.

Step-by-step explanation:

If an equation whose product does not need the distributive property, then the factors have already been distributed. And

Visualizing it

Suppose the following equation:

3(x+2)=4

Now let's focus the following step, that point of the question, when the equation does not need the distibutive property:

3x +6=4

3x+6 -6=4-6

3x=-2

3x/3=-2/3

x=-2/3

S={-2/3}

I would say to look for any like terms to combine, looking at the range of different variables and terms on both sides of the equation.

The volume of a cube is 64 cubic inches. What is its total surface area in square inches? Show your work!

Answers

well the measurements are 4x4x4 so you do 4x 4 = 16 x 6 = 96
so your answer would be SA=96inches2

How do I solve this??

Answers

Answer:

r = -1/2

Step-by-step explanation:

3(5 + 4r) = -18r

15 +12r = -18r by distributive property

15 = -12r - 18r

15 = -30r

r = - 1/2r

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

r=−411

Decimal Form:

r=−0.¯¯¯¯36

Hope this helps from yours truly Baby yoda ;)

Steve has a steel barrel with a diameter of 4 feet that can be filled to a depth of 4.3 feet with oil. What is the volume of the barrel?Use = 3.14

A.
54.008 cubic feet

B.
51.6 cubic feet

C.
78.128 cubic feet

D.
17.708 cubic feet

Answers

Answer:

Option A. 54.008 cubic feet

Step-by-step explanation:

we know that

The volume of the barrel is equal to

V=\pi r^(2)h ----> volume of the cylinder

we have

r=4/2=2\ ft ----> the radius is half the diameter

h=4.3\ ft ---> is the depth

\pi =3.14

substitute

V=(3.14)(2)^(2)(4.3)

V=54.008\ ft^(3)

Ralph chase graduated from college with a dept of $20000. He had taken out two different kinds of loans : a government loan at 3.3% APR ( annual percentage rate, or interest after one year) and a private loan at 4.9% APR . If his total interest after one year was $804 , how much money did he borrow from each source ?

Answers

Answer:

Ralph borrowed $11,000 from the government source and $9,000 from the private source.

Step-by-step explanation:

Let:

x = government loan

y = private loan

x + y = 20,000 ............................................ (1)

x = 20,000 - y ............................................. (2)

0.033x + 0.049y = 804 ............................ (3)

Substitute equation (2) into (3) for x, we have:

0.033(20,000 - y) + 0.049y = 804

660 - 0.033y + 0.049y = 804

0.016y = 804 - 660

0.016y = 144

y = 144 / 0.016 = $9,000

Substitute $9,000 for y in equation (2), we have:

x = 20,000 - 9,000 = $11,000

Therefore, Ralph borrowed $11,000 from the government source and $9,000 from the private source.