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2 years ago

What is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..

Mathematics

1 answer:

maks197457 [2]2 years ago

4 0

Answer:

127/64

Step-by-step explanation:

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64

add all the given and it will result to 127/64

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Translate the following into an algebraic expression:

Nata [24]

For this case, the first thing we must do is define variables.

We have then:

x: number of minutes

y: total cost

We write the algebraic expression that models the problem.

We have then:

$y = 10 * (\frac{20}{60}) x$

Simplifying we have:

$y = (\frac{10}{3}) x$

Then, by the time the cost is equal to $ 300 we have:

$300 = (\frac{10}{3}) x$

From here, we clear the value of x.

Answer:

an algebraic expression for the problem is:

$300 = (\frac{10}{3}) x$

3 0

2 years ago

Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of (x, y) → (x +

creativ13 [48]

Answer-

Figure 4 is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)

Solution-

The co-ordinates of the vertices are,

L = (-3, 1)

M = (-1, 1)

N = (-1, -1)

P = (-3, -1)

A translation of (x, y) → (x + 5, y – 3) means, the point must be shifted 5 units right and then 3 units down.

After the transformation the new co-ordinates will be,

L = (-3+5, 1-3) = (2, -2)

M = (-1+5, 1-3) = (4, -2)

N = (-1+5, -1-3) = (4, -4)

P = (-3+5, -1-3) = (2, -4)

These are the co-ordinates of the figure no. 4

6 0

3 years ago

Read 2 more answers

FOR 12 POINTS I NEED HELP ASAP! Consider the system of linear equations. 5 x + 10 y = 15. 10 x + 3 y = 13 To use the linear comb

Romashka [77]

Answer:

Do you mean which equation should the 5x+10=15 be multiplied to?

it would be -2

Step-by-step explanation:

This is because 5 times -2 is -10

and so when you add the (now) x value of the first equation to the x value of the second equation, it gets 0

which makes it eliminated!

-10x+10x=0

8 0

3 years ago

1. simplify radical expression. please and thank you

gayaneshka [121]

Answer:

option number 2 should be the answer if I'm wrong I'm mega sorry not that great at math. :>

3 0

3 years ago

A farmer plants 5 carrot seeds every 3 inches. Which

Serga [27]

Answer: 84 inches

Step-by-step explanation: When we look at how many carrot seeds he plants every 3 inches we can see that he plants 5 every time. This is saying that every 3 inches he will place 5 carrot seeds. If he wants to plant 140 seeds, he will still be planting 5 seeds every 3 inches. This means that we need to multiply the 140 seeds by 3 inches and divide by 5 to get our answer. This is 420 / 5 which equals 84. I think that is how it is done I am very sure of it!()_()()-();)

7 0

3 years ago