Sally took her stats test last week and scored a 45%. The class average was 55%with a standard deviation of 4.5. How many standa
1 answer:
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Here is the correct format for the question
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:15 the acceleration is exactly 80 mi/h².Let v(f) be the velocity of the car t hours after 2:00 PM.Then . By the Mean Value Theorem, there is a number c such that 0 < c <
with v'(c) =
. Since v'(t) is the acceleration at time t, the acceleration c hours after 2:00 PM is exactly 80 mi/h^2.
Answer:
Step-by-step explanation:
From the information given :
At 2:00 PM ;
a car's speedometer v(0) = 30 mi/h
At 2:15 PM;
a car's speedometer v(1/4) = 50 mi/h
Given that:
v(f) should be the velocity of the car t hours after 2:00 PM
Then will be:
= 20 × 4/1
= 80 mi/h²
By the Mean value theorem; there is a number c such that :
with
Answer: 24.25
Step-by-step explanation:
The formula for calculating the area of a triangle given the apothem and perimeter is
Area = x apothem x perimeter
apothem = 2.16
perimeter = 22.45
substituting into the formula , we have
Area = x 2.16 x 22.45
Area = 24.246
Area≈ 24.25
Congruent triangles are exactly the same, meaning they have the same side length, and thus same angles. Everything is exactly the same, as easy as it gets :)
So, you can compare the two pictures to get the informations you need:
, since it is a right angle
, as we can see on the right by comparison
. In fact, the angles of a triangle sum to
, so we have
. So,
yd, as we can see on the left by comparison.
Finally, we can compute using the Pythagorean theorem: