MATHEMATICS HIGH SCHOOL

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Find c(8) in the sequence given by c(n) = 20 – 17(n − 1)

Answers

Answer 1
Answer: 20-17(8-1)
20-17(7)
20-119
Answer
-99

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Add the polynomials (7x3−2x2−12)+(−3x3−8x2+10x)

Answers

Answer:

Addition:::::4x^3-10x^2+10x-12

Answer:

See below

Step-by-step explanation:

● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)

● 7x^3 - 2x^2 - 12- 3x^3 - 8x^2 + 10x

Combine like terms

● 7x^3 - 3x^3 -2x^2 - 8x^2 -12 + 10x

● 4x^3 - 10x^3 +10x -12

Simplify expression:
3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}

Answers

3^(-(4a+1))-3^(-(4a-1)) + 3^(-4a) =3^(-4a-1 )-3^(- 4a+1 ) + 3^(-4a)=\n \n=3^( -4a )*3^(-1)-3^( - 4a )*3^1 + 3^(-4a) =3^(-4a)(3^(-1)-3+1)=3^( -4a )*((1)/(3)-2)=\n \n=3^( -4a )*(-1(2)/(3))=3^( -4a )*(-(5)/(3))=3^( -4a )*(-5)*(1)/(3) =-5 *3^( -4a )*3^(-1)=\n \n =-5 *3^( -4a +(-1))=-5 *3^( -4a -1)

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

Answers

We will use the Pythagorean theorem to determine the height:h^(2)=15^(2) - 3.5^(2) h^(2) =225 - 12.25=212.75 Finally: h= √(212.75)=14.5859
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).

Answer: it's 14.6 feet

Round 7.3519 to 1 decimal place

Answers

7.4 is your final answer, hope that help, one decimal place is the first number after the decimal.

PLEASE HELPAt midnight, the outside temperature was –12⁰. By 6:00
a. m. the outside temperature had dropped 6⁰.
What was the outside temperature at 6:00
a. m.?
a. –18⁰
b. –6⁰
c. 6⁰
d. 18⁰

Answers

If you use/make a number line, then you will see that the answer is -18 or a. When using a number line, negative = ← and positive = →.

the total weight of 3 tables is 16.9 pounds. the first table is twice as heavy as the second table. The weight of the third table is 1/3 the weight of the second table. What is the weight of the first table?

Answers

2x + x + 1/3x =16.9
31/3x=16.9

x = 5

the first table is 10 pounds
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