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iogann1982 [59]
3 years ago
14

Solve 2^10 + 2^10 = 2^n.

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0

Answer: n = 11

Step-by-step explanation:

2^10 = 1,024

1,025 + 1,025 = 2,048

2^11 = 2,048

Alekssandra [29.7K]3 years ago
4 0

Answer:

n=11

Step-by-step explanation:

2^10+2^10 = (2^10)(1+1) using distributive property

(2^10)x(2^1) = 2^11

2^11 = 2^n

n=11

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4/x-7=7/x+6<br><br> What is x
marissa [1.9K]

Answer:

21

Step-by-step explanation:

4x + 24 = 7x - 49  \\ then \: collect \: the \: same \: variable \\ 4x - 7x =  - 49 - 24 \\ x =  - 63 \div  - 3 = 21

6 0
3 years ago
The speed of the current is 7 mph. The boat travels three times slower against the current than with the current. What is the sp
kotykmax [81]
Let the speed of the boat be x
so going against the current the speed is x-7
going with the current the speed is x+7

let the distance be d
time = distance / speed
time to go against the current = d/(x-7)
time to go with the current = d/(x+7)

time going against the current is 3 times going <span>with the current
</span>
d/(x-7) = 3d/(x+7)     ⇒⇒⇒ divide by d 
1/(x-7) = 3/(x+7) 
x+7 = 3(x-7) 
x+7 = 3x - 21
2x = 28
x = 14

So, the speed of the boat in still water is = 14 mph
3 0
4 years ago
Brian and Steve want to compare the prices of their favorite cereals to determine which is less expensive. Figure out the price
Andrews [41]
Me being a junior in high school and not knowing middle school math
8 0
3 years ago
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What is the y value of the vertex of the function f(x)=-(x-3)(x+11)
AnnyKZ [126]

Answer:

49

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

-x + 3

Which gives us:

(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

3 * x = 3x

3 * 11 = 33

-x² - 11x + 3x + 33

-x² - 8x + 33

The formula for finding the x coordinate of a vertex in a quadratic equation is:

x = \frac{-b}{2a}

Plug known variables in:

x = \frac{-(-8)}{2(-1)}

x = \frac{8}{-2}

x = -4

Now, to find the y coordinate, plug this variable back into the quadratic equation:

-x² - 8x + 33

y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\

y = 49

So the y coordinate of the vertex is 49.

Hope this helps!

4 0
3 years ago
HELP PLEASEEEE FAST<br> 128<br> 164<br> 140
kenny6666 [7]

Answer: 140 m3

Step-by-step explanation:

Multiply the area of the trapezoid face by the length .

Since the area is 20, you multiply it by 7 to get 140

7 0
3 years ago
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