<h3>Answer:</h3>
- the result in scientific notation is 6.561×10⁻⁷
- the result as a decimal is 0.000 000 656 1
<h3>Explanation:</h3>
The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.
... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2
... = 65.61 × 10^-8
... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point
The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...
... 6.561 × 10^-7 = 0.0000006561
Hello from MrBillDoesMath!
Answer:
The first choice ( -12, 20)
Discussion:
Using matrix multiplication we find the equations:
1x + 1y = 8 (A)
2x + 3y = 36 (B)
Next, compute
2(A) - B =>
(2x + 2y) - (2x + 3y) = 2*8 - 36 =>
(2x - 2x) + ( 2y-3y) = 16 - 36 =>
-y = -20 =>
y = 20
Substituting this y value in (A) gives
x + 20 = 8 =>
x = 8 - 20 =>
x = -12
The answer is the first choice ( -12, 20)
Thank you,
MrB
Answer:
The domain is the number of gallons and the range is the distance traveled.
Since the car can travel 30 miles one gallon of gas, we multiply by 12 to get the distance the car can travel in 12 gallons of gas.
Answer:
(-2+-5) equals -7.
Because the signs are the same, we dont change it.
(3+5) equals 8. Same like the other equation, the signs are the same so we do not change it.
Now we do (-7+8) The answer will be 1. Lets use a little graph since its hard to explain.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Mark -7 anyway you want. (Circle it, draw a line under it, what ever you want.)
Now Move the line 8 times.
When you do that your line will stop at 1.
And thats how you do it.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
