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suter [353]
3 years ago
14

Find the next three terms in each sequence. Then write an equation for the nth term of the

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Step-by-step explanation:

a) clearly, the sequence is created by subtracting 12 from one term to the next.

so, d = -12

a (= a1) = -5 (the first term is the start value)

the next 3 terms are then

-41, -53, -65

a28 = -5 + 27×-12 = -329

b) the sequence is created by adding 6 from term to term.

so, d = 6

a (= a1) = 8

the next 3 terms are

26, 32, 38

a77 = 8 + 76×6 = 464

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Find k and help with the equation!
anzhelika [568]
<h3>Answer:   k = 6+10x</h3>

=======================================================

Work Shown:

64*4^{5x}\\\\\left(2^6\right)*\left(2^{2}\right)^{5x}\\\\\left(2^6\right)*\left(2^{2*5x}\right)\\\\\left(2^6\right)*\left(2^{10x}\right)\\\\2^{6+10x}\\\\

The result is in the form 2^k with k = 6+10x

------------------------

Explanation:

First we need to get everything as an exponential expression with a base 2.

We rewrite 64 as 2^6 and 4 as 2^2 in the second step.

In the third step, I used the rule (a^b)^c = a^{b*c} which says to multiply the exponents together. That's how I went from (2^2)^{5x} to 2^{2*5x}. Then the 2*5x in the exponent becomes 10x.

To wrap things up, I used the rule a^b*a^c = a^{b+c} which says to add the exponents when we multiply stuff of the same base together.

6 0
3 years ago
I need help number 15​
AysviL [449]

Answer:

(2, -4)

Search in the 4th Quadrant. (Bottom Right)

Move right 2 times.

Move down 4 times.

(-4, 2)

Search in the 2nd Quadrant. (Top Left)

Move left 4 times.

Move up 2 times.

4 0
3 years ago
(17 Leon uses 3/4 cup water to make a serving of iced tea.
Ksivusya [100]

Answer:

A.) 12 3/4 cups

B.) 117 1/3

Step-by-step explanation:

<u>Part A</u>

If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?

To answer this, you must multiply 3/4 and 17

17 is the same as 17/1, so multiply the numerators and denominators

17 x 3 = 51

1 x 4 = 4

51/4 = 12 3/4

So, Leon used 51/4 or 12 3/4 cups of water

<u>Part B</u>

If the cooler has 88 servings of tea, how many cups of water does it have?

To solve this, divide 88 by 3/4

Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.

Again, 88 is the same as 88/1 so multiply the numerators and the denominators.

88 x 4 = 352

1 x 3 = 3

352/3 = 117 1/3

So, there are 352/3 or 117 1/3 cups of water in the cooler

I hope this helps!

4 0
4 years ago
Need the answer ASAP!! 20 points
aniked [119]

Answer:

I think C. is it

Step-by-step explanation:

8 0
3 years ago
Examine the system of equations.
MakcuM [25]

Answer:

\boxed{\boxed{\sf x=-3}}

Step-by-step explanation:

\sf y = -3x - 2

\sf y=7

We'll substitute y into the equation:

\sf 7 = -3x - 2

Switch sides:

\sf -3x-2=7

Add 2 to both sides

\sf -3x-2+2=7+2

\sf -3x=9

Divide both sides by -3:

\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}

\sf x=-3

Therefore, the value of x/solution is -3

________________________________________

8 0
3 years ago
Read 2 more answers
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