Answer:
20 feet
Step-by-step explanation:
Answer:
we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Step-by-step explanation:
Given the function
f(x) = abˣ
Let us substitute all the points one by one
FOR (b, 0)
y = abˣ
putting x = b, y = 0
0 = abᵇ
FOR (a, b)
y = abˣ
putting x = a, y = b
b = abᵃ
FOR (0, 0)
y = abˣ
putting x = 0, y = 0
0 = ab⁰
0 = a ∵b⁰ = 1
FOR (0, a)
y = abˣ
putting x = 0, y = a
a = ab⁰
a = a ∵b⁰ = 1
TRUE
Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Let
x---------> Steve's time
y--------> Paul's time
we know that

------> Steve is faster than Paul
Divide x by y

therefore
<u>the answer is the option</u>
A. Steve is 5⁄6 as fast as Paul
Answer:
D
Step-by-step explanation:
∠ A is the angle opposite side a
the sum of the 3 angles in the triangle = 180° , that is
∠ A + 75° + 35° = 180°
∠ A + 110° = 180° ( subtract 110° from both sides )
∠ A = 70°
Answer:
interval=(15.085,14.9515)
Step-by-step explanation:
Table:
CI Z
85% 1.440
90% 1.645
95% 1.960
In order to find the interval/estimate of hours per week students study we consider the formula given below:
Interval=X±
where:
X is the mean hours
Z is the value from Z distribution table of Confidence Interval
n is the sample size of students
S is the standard deviation
X=15, Z=1.645, S=2.3hours, n=78
Interval=15±
Interval=15±0.0485
interval=(15.085,14.9515)