Answer:
<h3>B. m<3 = m<6 = 75degrees</h3>
Step-by-step explanation:
First you must understand that in geometry, the alternate interior angles are equal
Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6
Given that m<3 = 75 degrees
m<6 will also be 75 degrees since both angles are equal
You have added -13 to every function value, so every point on the graph is 13 "spaces" lower. The y-intercept is one such point, so ...
-The y-intercept is 13 spaces lower.
_____
<em>Comment on notation</em>
In plain text an exponent is preceded by a caret (^). If the exponent has arithmetic involved (addition, subtraction, multiplication, division), then the entire exponent needs to be enclosed in parentheses. When an exponential term that has a constant base is multiplied by another constant, then some sort of multiplication indicator is useful. Your expressions might be written ...
... f(x) = 4·2^x
... f(x) = 4·2^x - 13 . . . . . . or, better, f(x) = 4(2^x) - 13 . . so it is clear -13 is not part of the exponent
Answer:
about 83 words
Step-by-step explanation:
60/6=10
500/6 about 83
Answer:
C 47.12 L
Step-by-step explanation:
1 gallon = 3.8 liters
12.4 gallons = x
Cross Multiply
= 12.4 × 3.8
47.12 liters
Option C is correct
If the 5 of them weigh 1/4 of a ton
then 1 of them weigh x
5/1 = 1/4//x Do you see what happens? Just by writing down the givens you get a proportion. It will work better for you if you change the 1/4 to 0.25
5/1 = 0.25/x Now it looks like an ordinary proportion. Cross multiply
5x = 0.25*1 divide by 5
x = 0.25/5
x = 0.05 tons. We better change this to pounds.
1 ton = 2000 pounds
0.05 ton = x
1/0.05 = 2000/x Cross multiply
x = 2000 * 0.05
x = 100 pounds.
