Answer:
A. Amount(hours worked)
Step-by-step explanation:
Function notation is a way of converting a written description of a function to a concise form that is easy to read.
It is another way of representing the y-value in a function, y = ƒ(something)
Let's convert the word expression to function notation:
- "The amount charged for labour depends on the time the repair technician works."
- "The amount depends on the hours worked."
- "The amount is a function of the hours worked."
- Amount = amount(hours worked)
The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
<h3>How to solve the trigonometry ratios?</h3>
The equations are given as:
tan(x)=sin38°
cosec( x+10°)=1.345
In tan(x)=sin38°, we have:
tan(x)=0.6157
Take the arc tan of both sides
x = 31.6
Also, we have:
cosec(x+10°)=1.345
Take the inverse of both sides
sin(x+10°) = 0.7434
Take the arc sin of both sides
x+10 = 48.0
Subtract 10 from both sides
x = 38.0
Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345 is 38.0
Read more about trigonometry ratios at:
brainly.com/question/11967894
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<u>We know that:</u>
Slope of a line = change in y coordinate / change in x coordinate
<u>We are given:</u>
First point = (2,5)
Second point = (5, 14)
<u>Calculating the change in y coordinate:</u>
change in y (also represented by Δy) = second y - first y
Δy = 14 - 5
Δy = 9
<u>Calculating the change in x coordinate:</u>
Δx = second x - first x
Δx = 5 - 2
Δx = 3
<u>Slope of the line:</u>
Slope = (Δy) / (Δx)
Slope = 9 / 3 [replacing the values]
Slope = 3
Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
Answer:apple
Step-by-step explanation:
