There are 250 students in the senior class at Stats High School. Some are involved in clubs and some have part-time jobs. 130 students have a part-time job (some of these students may be in a club). 110 students are involved in a club (some of these students may have a job). 100 students are NOT involved in a club and do NOT have a part-time job1. Draw a Venn diagram to illustrate the data.
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Answer: ( i had a problem with this question too and i looked it up for a tutorial and i saw that some guy replied random things for points, so after i found the explanation, i came back here to give you a proper answer.)
Write 100 outside the circles to represent the students who do not have a job and are not in a club.
There are a total of 250 students, and 100 of them are not in the circles. So the remaining 150 must be included in the job and club circles.
The total number in the job subset is 130, and the total number in the club subset is 110. Together, this is 240 students, but there is only room for 150.
This means that 90 of the students are included in the intersection (both job and club).
The total number of students with jobs is 130, but 90 are already included in the intersection. Therefore, the difference of 40 students only have jobs.
The total number of students in a club is 110, but 90 have both jobs and attend a club. So the remaining 20 students must only attend a club.
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6 subtracted from the quotient of 84 and 7
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Given m< BAD= y and m
Define product. Give an example of two whole number factors with a product of 9.
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The peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.
What is the average speed?
The average speed is the total distance traveled by the object in a particular time interval.
The average speed is a scalar quantity.
The average speed of a golden eagle is 30 mph and the average speed of a peregrine falcon is 48 mph.
The time to fly 40 miles (that time is x):
miles hours
30 ⇒ 1
40 ⇒ x
We use the ruleof three which is to multiply the cross quantities on the table and divide by the remaining quantity:
x = 40(1)/30
x = 4/3 hour
it takes the eagle 4/3 flies to fly 40 miles.
Now we use the velocity of the falcon: 48mph, which can also be represented as:
miles hours
48 ⇒ 1
and we need the distance in miles that the falcon flies in 4/3 hours :
miles hours
48 ⇒ 1
x ⇒ 4/3
Again we use the rule of three (multiply cross quantities and divide by the remainingquantity)
x = (48)× (4/3)
x = 64 miles
Hence, the peregrine falcon flies in the time it takes the eagle to fly 40 miles is 64 miles away.
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Answer:
64
Step-by-step explanation:
64 miles
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Answer:
The answer is ""
Step-by-step explanation:
If the function is:
points are:
use the mean value theorem:
Final answer:
The Mean Value Theorem states that for a continuous and differentiable function on a closed interval, there exists at least one 'c' within that interval where the average change rate equals the instantaneous rate at 'c'. In the given case of interval [-2,2], to find 'c', first calculate the average slope between the points (f(2)-f(-2))/4. Then equate this average slope to the derivative 'f'(c). The solution(s) to this equation are the c values for this problem.
Explanation:
The subject of this question pertains to the Mean Value Theorem in Calculus. According to this theorem, if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one number c in the open interval (a, b) such that the average rate of change over the interval equals the instantaneous rate of change at c.
In the given case, we're trying to find the 'c' value for the interval [-2,2]. First, we need to find the average slope between the two points. Assuming f is your function, that would be (f(2)-f(-2))/ (2 - -2). Subtract the function values of the two points and divide by the total interval length. Next, we need to see where this average slope equals the instantaneous slope 'f'(c), this entails solving the equation 'f'(c) = (f(2)-f(-2))/4. The solution to this equation will be the c values that satisfy the Mean value theorem within the provided interval.
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csc^2(x)
Explanation:
We have:
cot
2
(
x
)
+
1
This expression can be simplfiified by applying one of the Pythagorean identities:
1
+
cot
2
(
x
)
=
csc
2
(
x
)
=
csc
2
(
x
)
4,11
5,10
6,14
30,50
40,60
Answers
Answer:
Options (1), (3), and (4)
Step-by-step explanation:
Since, slope of a line passing through two points and
is given by,
m =
Therefore, slope of a line passing through (0, 5) and (2, 8) will be,
m = = 1.5
Equation of line passing through (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of a line passing through (0, 5) and slope = 1.5,
y - 5 = 1.5(x - 0)
y = 1.5x + 5
Since, all the points which lie on this line will satisfy this equation.
For (4, 11),
11 = 1.5(4) + 5
11 = 11
Point (4, 11) lies on this line.
Point (5, 10)
10 = 1.5(5) + 5
10 = 7.5 + 5
10 = 12.5
But 10 ≠ 12.5
Therefore, (5, 10) doesn't line on the line.
Point (6, 14)
14 = 1.5(6) + 5
14 = 14
True.
Therefore, (6, 14) lies on the line.
Point (30, 50)
50 = 1.5(30) + 5
50 = 50
True.
Therefore, (30, 50) lies on the line.
Point (40, 60)
60 = 1.5(40) + 5
60 = 65
But 60 ≠ 65
Therefore, (40, 60) doesn't lie on the line.
Options (1), (3) and (4) and the correct options.
Answer:
1, 3 and 4. I had the same question on my assignment :)
Step-by-step explanation:
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =
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Answer:
Step-by-step explanation:
Hope it helps
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Answer:
ironically the units are Always squared and area is the distance around the circle