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2 years ago

7

Simplify 2^4 x 2^3/ 2^5 x 2^4 leaving your answer in index form.

1 answer:

DanielleElmas [232]2 years ago

8 0

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)

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Can someone please help me with this problem??

Ostrovityanka [42]

Answer:

The slope is - $\frac{1}{3}$ and the y intercept is 2.

Step-by-step explanation:

So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is $-\frac{1}{3}$ .

Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair $(0,2)$ , although people usually write the number.

I hope this was helpful. Good luck!

7 0

3 years ago

A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is its new position in

Leokris [45]

Answer:

In this question ;

key word is <em><u>descends</u></em> which means <em><u>going down</u></em>

now the position is -300 which means it's under water and it descends 115 m that means now it's even more under water

position now is -300 -115 = <u>-415m</u>

<u> </u>

3 0

3 years ago

Read 2 more answers

ASAP! I really need help with this question! No nonsense answers, and please attach the solution.

uysha [10]

Answer:

$\boxed{\sf Option \ 4}$

Step-by-step explanation:

$\sqrt{2x-3} +x=3$

Subtract x from both sides.

$\sqrt{2x-3} +x-x=-x+3$

$\sqrt{2x-3}=-x+3$

Square both sides.

$( \sqrt{2x-3})^2 =(-x+3)^2$

$2x-3=x^2-6x+9$

Subtract x²-6x+9 from both sides.

$2x-3-(x^2-6x+9 )=x^2-6x+9-(x^2-6x+9)$

$-x^2 +8x-12=0$

Factor left side of the equation.

$(-x+2)(x-6)=0$

Set factors equal to 0.

$-x+2=0\\-x=-2\\x=2$

$x-6=0\\x=6$

Check if the solutions are extraneous or not.

Plug x as 2.

$\sqrt{2(2)-3} +2=3\\ \sqrt{4-3} +2=3\\\sqrt{1} +2=3\\3=3$

x = 2 works in the equation.

Plug x as 6.

$\sqrt{2(6)-3} +6=3\\ \sqrt{12-3} +6=3\\\sqrt{9} +6=3\\3+6=3\\9=3$

x = 6 does not work in the equation.

5 0

4 years ago

Read 2 more answers

kelly belonged to a canoe club that had 18 canoes. they kept their canoes om trailers, each able.to carru 2 wide and 3 high. if

aleksley [76]

So 6 canoes per trailer, there are 18 canoes total. How many trailes are needed to fit all the canoes.

3 trailers.

3 0

3 years ago

On the first visit to the veterinarians office chorus kitten weighed 550 g on the second visit the kitten had ganged 350 g on th

Roman55 [17]

Answer:

<em></em> $\%Increase = 118\%$ <em></em>

<em></em>

Step-by-step explanation:

Given

$Initial\ Weight = 550g$

$First\ Addition = 350g$

$Second\ Addition = 300g$

Required

Determine the percentage increment

First, we have to calculate the new weight

$New\ Weight = Initial\ Weight + First\ Addition + Second\ Addition$

$New\ Weight = 550g + 350g + 300g$

$New\ Weight = 1200$

The percentage increment is then calculated as:

$\%Increase = \frac{New\ Weight - Initial\ Weight}{Initial\ Weight} * 100\%$

$\%Increase = \frac{1200g - 550g}{550g} * 100\%$

$\%Increase = \frac{650g}{550g} * 100\%$

$\%Increase = \frac{650}{550} * 100\%$

$\%Increase = 1.182* 100\%$

$\%Increase = 118.2\%$

<em></em> $\%Increase = 118\%$ <em> -- Approximated</em>

<em></em>

<em>Hence, the percentage increment is approximately 118%</em>

6 0

3 years ago