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andreyandreev [35.5K]
3 years ago
5

(1/16)^(x+3) = (1/4)^(x+1)

Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0

Answer:

x=-5

Step-by-step explanation:

nika2105 [10]3 years ago
5 0

The answer is x = -5. The explanation and answer is in the image below.

You might be interested in
If (a+10) and (a+20)are supplementary angles,find them​
motikmotik

Given:

(a+10) and (a+20) are supplementary

To find:

Each angle

Steps:

if 2 angles are supplementary that means they add up to 180°

(a + 10) + (a + 20) = 180

   a + 10 + a + 20 = 180

              2a + 30 = 180

                      2a = 180 - 30

                      2a = 150

                        a = 150/2

                        a = 75°

Now let's find value of each angle,

a + 10 = 75 + 10

          = 85°

a + 20 = 75 + 20

           = 95°

Therefore, the value of each angle is 85° and 95° respectively

Happy to help :)

If you need any help feel free to ask

4 0
2 years ago
A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the
ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

x=y+15 ----> equation A

The volume of the box is equal to

V=LWH

we have

V=1,350\ in^3

L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in

H=3\ in

substitute in the formula of volume

1,350=(x-6)(y-6)(3) ----> equation B

substitute equation A in equation B

1,350=(y+15-6)(y-6)(3)

solve for y

450=(y+9)(y-6)

y^2-6y+9y-54=450\\y^2+3y-504=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

x=21+15=36

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0
3 years ago
Please help due soon!!!
butalik [34]

Hey there!


Question #1.
2^6 + (2^3)^3

= 64 + (8)^3

= 64 + 8^3

= 64 + 512

= 576


Therefore, the answer should be:

Option A. 576


Question #2.
11^-4 * 11^8

= 1/14,641 * 214,358,881

= 14,641

≈ 11^4

Therefore, the answer should be:

Option C. 11^4


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

3 0
2 years ago
Read 2 more answers
What are the x- and y-intercepts of 2x+4y=8
NeX [460]

x-intercept: (4,0)

y-intercept: (0,2)

8 0
3 years ago
1.what is the slope of the line passing through the points (1,-5) and (4,1)?
hoa [83]

Answer:

C. 2

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)

= (1-(-5)) / (4-1)

= (1+5) / 3

= 6/3

= 2

3 0
2 years ago
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