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2 years ago

8^6 * 8^4 Rewrite the expression in the form 8^n

Mathematics

1 answer:

Vlad [161]2 years ago

6 0

8^6*8^4 is 1073741824 I think that is 8^10

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

3 0

3 years ago

The height in feet of a ball dropped from a 150 ft building is given by h(t)=-16 ft^2 +150, where t is the time in seconds after

ipn [44]

Answer:

Part 1) Option A. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft

Step-by-step explanation:

we have

$h(t)=-16t^{2}+150$

where

t ----> is the time in seconds after the ball is dropped

h(t) ----> he height in feet of a ball dropped from a 150 ft

Find h(2)

That means ----> Is the height of the ball 2 seconds after the ball is dropped

Substitute the value of t=2 sec in the equation

$h(2)=-16(2)^{2}+150=86\ ft$

therefore

After 2 seconds, the height of the ball is 86.00 ft.

7 0

3 years ago

Help ? I need steps on how to do this

Furkat [3]

Answer :- 

the quotient is ( 4x² - 5x + 7 )

Step-by-step explanation:

[ Refer to the attachment for steps ]

We have to eliminate the highest degree coefficient in each step.

And as in division of normal numbers we subtract the things here we do the same ,

but while subtracting we have to take care about the signs !

The negative sign changes the negative sign into positive sign and positive sign into negative sign.

Whereas , a positive sign don't changes the sign.

8 0

2 years ago

I will mark brainliest when it lets me please help me if you can x2 – 9 = 91

jok3333 [9.3K]

Answer:

x=10,−10

Step-by-step explanation:

one of those two

3 0

2 years ago

What is the value of the expression |a + b| + |c| when a = –6, b = 2, and c = –11?

iVinArrow [24]

The answer is D. -15 because I am assuming that the vertical lines mean brackets, and we have to work out the brackets first (according to BIDMAS). Doing so, -6 + 2 = -4 and -4 + -11 = -15.

8 0

3 years ago