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Angelina_Jolie [31]
3 years ago
5

If 2^20 - 2^19 = 2^x, what is the value of x?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

x=19

Step-by-step explanation:

2^2^0-2^1^9=2^x

2^x=524288

log(2^x)=log(524288)

x=\frac{log(524288)}{log(2)}

x=19

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Gosh, I've done this problem before. Let's start with 13. In this problem, we're basically just skip counting. For example, in the roses row, in the second bouquet, we know we have to add 4 more flowers, so we can document 8. Continue to skip count for both. For 15, we would have about 96 more movie posters remaining, making our ratio 96:x. So, 96:x = 120:100. Therefore, x would equal 80- as 96:80 equals 120:100. If she needs 80 and already had 100, she should sell 20 posters. Hope this helped.
3 0
2 years ago
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7 0
3 years ago
What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.
Zanzabum
Hi there!

The general formula of A line in slope-intercept form is the following:
y = mx + n

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
y =  \frac{2}{5} x + n

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

- 1 =  \frac{2}{5}  \times  - 3 + n

Multiply first.
- 1 =  -  1\frac{1}{5}  + n

And finally add 1 1/5 to both sides of the equation.
\frac{1}{5}  = n

We can now switch sides.
n =  \frac{1}{5}

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
y =  \frac{2}{5}  x  +  \frac{1}{5}

7 0
3 years ago
A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume 320π of cubic feet. What is the
8090 [49]
To solve for radius use the volume formula and solve for r.

V = πr²h
320π = πr²(20)
320π/π = 20r²
320 = 20r²
320/20 = r²
16 = r²
√16 = r
4 = r

Answer is D. 4 feet.

Hope this helps :)

7 0
3 years ago
Read 2 more answers
What is the value of x? Round to the nearest tenth. Please Help
Elodia [21]

Answer:

<h2>x = 6.5 cm</h2>

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm

Substitute:

x^2+20.2^2=(14.7+x)^2           <em>use (a + b)² = a² + 2ab + b²</em>

x^2+408.04=14.7^2+(2)(14.7)(x)+x^2          <em>subtract x² from both sides</em>

408.04=216.09+29.4x        <em>subtract 216.09 from both sides</em>

191.95=29.4x         <em>divide both sides by 29.4</em>

x\approx6.5\ cm

7 0
3 years ago
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