Step-by-step explanation:
Count how many of the same number, since you have four 8's the exponent will be
same applies for 3
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
1. You must use the formula for calculate the volume of a rectangular prism, which is:
V=(h)(l)(w)
V: It is the volumen of the rectangular prism (V=1152 inches³).
h: It is the height of the rectangular prism (h=18-w).
l:It is the lenght of the rectangular prism (l=2w+4).
2. When you substitute these calues into the formula, you obtain:
V=(h)(l)(w)
1152=(18-w)(2w+4)(w)
(18-w)(2w+4)(w)-1152=0
3. Then, you should mutiply them:
36w²-2w³+72w-4w²-1152=0
32w²-2w³+72w-1152=0
4. When you factor, you obtain:
2(w-16)(w-6)(w+6)
w1=16
w2=6
w3=-6
5. The problem says that the height is greater than the width, therefore, the widht is:
w=6 inches
6. The length is:
l=2w+4
l=2(6)+4
l=16 inches
7. And the height is:
h=18-w
h=18-6
h=12 inches
What are the dimensions of the bag?
The dimensions of the bag are:
l=16 inches
h=12 inches
w=6 inches
Answer:
Step-by-step explanation:
<u>The data given:</u>
- 93, 81, 94, 71, 89, 92, 94, 99
<u>Put the data in the ascending order:</u>
- 71, 81, 89, 92, 93, 94, 94, 99
<u>Since the data size is even, the median is the average of middle two:</u>
- median = (92 + 93)/2 = 92.5
yards/costumes:16/(5/2) = X/(19/2)
Cross multiply.
(5/2)x = 152
Multiply both sides by 2/5.
x = 101 1/3 yards
