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shtirl [24]
3 years ago
8

Find the value of x in the equation without evaluating the power

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Step-by-step explanation:

a)2^8=256

2^5*2^x=2^8

5+x=8

x=8-5

x=3

b)(1/3)^6

(1/3)^2*(1/3)^x=(1/3)^6

2+x=6

x=6-2

x=4

therefore the value of x in a is 3

and the value of x in b is 4

hope it helps u...pls mark it as the brainliest answer..

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An open rectangular box is 4 feet long and has a surface area of 20 square feet. Find the dimensions of the box for which the vo
sweet-ann [11.9K]
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W

V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1

so at H=1
find W

W=(10-4H)/(H+2)
W=2

the dimeionts are

length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
3 0
4 years ago
Solve for y. <br><br> 15 points to anyone who answers. Seriously need help with this!!!
gtnhenbr [62]
The answer to it is x=12
3 0
4 years ago
Read 2 more answers
If angles G and H are supplementary angles, and angle G is 60°, What measurement, in degrees, is angle H?
enyata [817]

Answer:

120 degrees = H

Step-by-step explanation:

Two angles whose sum is equal to 180 degrees are called supplementary angles. do 180-60 to get 120

hope it helps! :)

8 0
3 years ago
Read 2 more answers
Passes through (-1,4) and m=4
Ilya [14]
Point-slope formula;

y - y1 = m(x - x1)        given point(-1, 4) and slope(m) is 4.

y - 4 = 4(x - (-1)

y - 4 = 4x + 4

y = 4x + 4 + 4

y = 4x + 8               << the equation.

hope this helped, God bless!
5 0
3 years ago
If angle GEF is 34 degrees, find the angle measures for 4,5,6, and 7.
horsena [70]

Answer:

<4=146

<5=34

<6=146

<7=34

Step-by-step explanation: If angle GEF is 34 degrees the angle measures for 4,5,6, and 7 would be #4 = 146 #5 = 34 #6 = 146 and #7 = 34

8 0
3 years ago
Read 2 more answers
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