Answer:
Option B. (0.7)n = 45.50
Step-by-step explanation:
If n represents the number of dollars she raised this year then as per question the equation will be (7/10)n = 45.50
(0.7)n = 45.50
Therefore option B. 45.50 = 0.7n is the answer.
-1 is the y-intercept of the equation.
Hello,
Let's assume the last digit given by the function last(x).
last(7^0)=1
last(7)=7
last(7^2)=last(49)=9
last(7^3)=last(last(7^2)*7)=last(9*7)=last(63)=3
last(7^4)=1
If the exponent n is 0,4,8,12,.... a multiple of 4 last(7^n)=1
If the exponent n is 1,5,9,13,.... a multiple of 4 + 1 last(7^n)=7
If the exponent n is 2,6,10,14,.... a multiple of 4 + 2 last(7^n)=9
If the exponent n is 3,7,11,15,.... a multiple of 4 + 3 last(7^n)=37
Here exponent is 282=70*4+2
last(7^282)=9
50x+75=65x
Now divide
15x=75/15
Your Solution
<span>x= 5</span>
Part A.
Using the Pythagorean theorem,
PR² = PQ² +QR²
PR² = (14 ft)² +(6 ft)² = 196 ft² +36 ft² . . . . substitute the given numbers
PR² = 232 ft² . . . . . . . . . . . . . . . . . . . . . . . .find the sum
PR = √(232 ft²) ≈ 15.23 ft . . . . . . . . . . . . . take the square root
The length of rod PR is 15.23 ft.
Part B.
Using the Pythagorean theorem,
PR² = PQ² +QR²
(16 ft)² = (14 ft)² +QR² . . . . . . . substitute the given numbers
256 ft² -196 ft² = QR² . . . . . .. subtract 14²
60 ft² = QR² . . . . . . . . . . . . . . find the sum
√(60 ft²) = QR ≈ 7.75 ft . . . . . take the square root
The new height QR is about 7.75 ft.