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dedylja [7]
3 years ago
5

Which expression simplifies to (-5 · 2² · 2⁰)⁻² ? Please show work.

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0
The answer is d. 2⁰ is 1 so you dont have to multiply that. (-5 x 4) ⁻² is -20⁻². -20⁻² = (1/-20)<span>² ; 1 x 1 = 1; -20 x -20 = 400. so it is 1/400 </span>
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Growth or decay: 1/2(10)^x
suter [353]

Answer:

Growth

Step-by-step explanation:

If the base (the number in the parentheses) is less then 1 then it is a decay, and if it's larger than 1 it is a growth.

4 0
3 years ago
Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.
user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = 1 yd^{2}= 1296 in ^{2}

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0
3 years ago
Read 2 more answers
Is 1.1 less than or greater than or equal to the square root of two
dangina [55]

Answer:

less than

Step-by-step explanation:

the Square root of 2 is 1.4142...

3 0
3 years ago
The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk
cricket20 [7]

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

6 0
3 years ago
Solve the equation 0.35(x+4)=0.25(x-6)
creativ13 [48]
x = -29

because
0.35x +1.4=0.25x-1.5
-0.25x            -0.25x
_____________________
0.1x + 1.4 =  -1.5
         -1.4      -1.4
_________________________
0.1x          =-2.9
____        _____
0.1               0.1
     x =  -29


5 0
4 years ago
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