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just olya [345]
3 years ago
6

2^l-3x=1/64 Solve for l

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0
2^l-3x=\dfrac{1}{64}\\2^l=\dfrac{1}{64}+3x\\
l=\log_2\left(\dfrac{1}{64}+3x\right)
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Solve. (x + 3)^1/2– 1 = x
Natali [406]

Answer:

x=1

Step-by-step explanation:

(x + 3) ^{ \frac{1}{2} }  - 1 = x  \\  \sqrt{x  + 3}   - 1 = x \\  \sqrt{x + 3}  = x + 1 \\ square \: both \: sides \\ x + 3 =  {x}^{2}  + 2x + 1 \\  {x}^{2}  + 2x - x + 1 - 3 = 0  \\  {x}^{2}  + x - 2 = 0  \\ x ^{2}  + 2x - x - 2 = 0  \\ (x^{2}  + 2x) - (x  + 2) = 0 \\ x(x + 2) - 1( x + 2) = 0 \\ (x - 1)(x + 2) = 0 \\ x - 1 = 0 \\ x = 1 \\  \\  \\ x  +  2 = 0 \\ x =  - 2

8 0
3 years ago
A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of
Sholpan [36]

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

5 0
3 years ago
-19-5/4v is less than or equal too -14
Nesterboy [21]

Answer:

−20.25

Step-by-step explanation:

5 0
2 years ago
Rewrite cot 80° in terms of its cofunction.
zysi [14]

Answer:

tan 10 degrees.

Step-by-step explanation:

tan x = cot (90 - x) so:

cot 80 = cot (90 - 10)

= tan 10.

8 0
3 years ago
Find the value of x.
Elenna [48]

Answer:

x=16

Step-by-step explanation:

50+40=90

40-8=32

32/2=16

x=16

7 0
3 years ago
Read 2 more answers
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