Answer: the answer to C is 4,176,000,000,000,000
Step-by-step explanation:
2.9(105)(7.2)(102)
5(10−8)
=
(2.9)(100000)(7.2)(102)
5(10−8)
=
(290000)(7.2)(102)
5(10−8)
=
2088000(102)
5(10−8)
=
(2088000)(100)
5(10−8)
=
208800000
5(10−8)
=
208800000
5(
1
100000000
)
=
208800000
1
20000000
=4176000000000000
Answer:
1. Undefined
2. Negative
3. Zero
4. Positive
Step-by-step explanation:
1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.
2. Negative, the line is decreasing at a constant rate, the slope is negative.
3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)
4. Positive, the line is increasing at a large rate, the slope is positive.
<u>Answer:</u>
The correct answer option is c.
.
<u>Step-by-step explanation:</u>
We are given an expression
and we are supposed to simplify it.
We can also write
as
.
We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:

Therefore, the correct answer option is c.
.
Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.
Step-by-step explanation:
1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.
2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.
Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to


so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A

solve for y

Find the value of x

therefore
The measure of the shortest side is 851 miles