Answer:
Option 1: 1430p + 2200 = -4001
Step-by-step explanation:
Given that:
1.43p + 2.2 = -4.001
We can replace:
1.43p by 1430p * 10^-3
2.2 by 2200 * 10^-3
-4.001 by -4001* 10^-3
So the equation will become:
1430p * 10^-3 + 2200* 10^-3 = -4001 * 10^-3
Taking 10^-3 common from both side
(1430p + 2200)* 10^-3 = -4001 * 10^-3
Cancelling 10^-3 from both sides we get:
1430p + 2200 = -4001
Answer:
k = 4
Step-by-step explanation:
First, find the equations of each function.
f(x) = x/3 - 3
g(x) = x/3 + 1
Then plug these values for g(x) = f(x) + k.
x/3 + 1 = x/3 - 3 + k subtract x/3 on both sides
1 = -3 + k add -3 on both sides
k = 4 we're done!
and this makes sense because g(x) is just a translation of f(x) 4 units up.
Answer:
301 acres
Step-by-step explanation:
43,000 acres of forest
0.7% is old-growth
0.7% = 0.007
43,000 * 0.007 = 301 acres
This number should be 10.
The tens digit the the 1st number on a two-digit number. Because the highest number you can go without creating a hundredths place is a 9, and the question says the ones-place (the last digit), this has to make this number 0. If it were to be 1 or anything higher, it would have to create a hundredths place if the rule of the question were to be followed.
Example:
If ones-place were 1, then following rule: 1+9 = 10
Your number would end up being 101 instead of a tenths place number.
I hope that made some sense somewhere!
Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.
Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)
∠1 = ∠2 = 117°
