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2 years ago

6

Solve the inequality and graph its solution

eq -20" alt="-5k\geq -20" align="absmiddle" class="latex-formula">

2 answers:

4vir4ik [10]2 years ago

8 0

-5k >= -20 (divided by -5)
k <= 4

Vinil7 [7]2 years ago

4 0

Answer: k less than or equal to 4

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Step-by-step explanation:

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3 years ago

The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series

Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

$a,ar^1,ar^2,ar^3......$

The sum of n terms of a GP is given by :

$S_n=\dfrac{a(1-r^n)}{1-r}$

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$S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504$

So, the sum of the first 6 terms of the series is 504.

4 0

4 years ago

4(x + 2) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 point

Amiraneli [1.4K]

Hello :
<span> by the Distributive Property
</span>4(x + 2) = (4×x) +(4<span>×2)= 4x +8</span>

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3 years ago

A sports drink recipe calls for table spoons of powdered drink mix and 12 ounces of water to make two 4/3 batches. How many batc

KIM [24]

Answer:8.4

explanation:

it just is the answer

8 0

3 years ago

Read 2 more answers

What is the surface area?

olasank [31]

Hello from MrBillDoesMath!

Answer:

152 in^2

Discussion:

Surface area =

2 (area of side triangle + area of rectangle face) +

area of bottom rectangle

= 2 ( (1/2) 6*4 + 5*8 ) + 8*6

= 2 ( (1/2) 24 + 40 ) + 48

= 2 (12 +40 ) + 48

= 2(52) + 48

= 104 + 48

= 152

Thank you,

MrB

3 0

4 years ago