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3 years ago

2) If Jenny wants to make 80 cups of punch, how many cups of each ingredient will she need?

Mathematics

1 answer:

Lady_Fox [76]3 years ago

5 0

Well we would know if you told us the ingridients

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

What is the area of triangle ABC

deff fn [24]

$\text{Area of triangle} = \dfrac{1}{2} ab \sin c$

$\text{Area of triangle} = \dfrac{1}{2} (40)(25) \sin(80)$

$\text{Area of triangle} = 492.4 \ m^2$

6 0

3 years ago

Read 2 more answers

What is the f of x over the g of x when f(x) = 6x3 − 19x2 + 16x − 4 and g(x) = x − 2? (2 points)

VikaD [51]

You're being asked to divide 6x^3 - 19x^2 + 16x - 4 by x - 2.

Try using synthetic division, if you know it:

_______________
2 / 6 -19 16 -4
12 -14 4
--------------------------
6 -7 2 0

6, -7 and 2 are the coefficients of the quotient. The quotient (answer to this question) is

6x^2 - 7x + 2

4 0

4 years ago

Someone help me asap math 10

Ghella [55]

Answer:

x ≈ 25.4 Km

Step-by-step explanation:

Using the tangent ratio in the right triangle on the right

tan54° = $\frac{opposite}{adjacent}$ = $\frac{opp}{17}$ ( multiply both sides by 17 )