7,896,123.5 place value of 7

A radar gun was used to record the speed of a swimmer (in meters per second) during selected times in the first 2 seconds of a r

Natalka [10]

Trapezoidal is involving averageing the heights
the 4 intervals are
[0,4] and [4,7.2] and [7.2,8.6] and [8.6,9]

the area of each trapezoid is (v(t1)+v(t2))/2 times width

for the first interval
the average between 0 and 0.4 is 0.2
the width is 4
4(0.2)=0.8

2nd
average between 0.4 and 1 is 0.7
width is 3.2
3.2 times 0.7=2.24

3rd
average betwen 1.0 and 1.5 is 1.25
width is 1.4
1.4 times 1.25=1.75

4th
average betwen 1.5 and 2 is 1.75
width is 0.4
0.4 times 1.74=0.7

add them all up
0.8+2.24+1.75+0.7=5.49

5.49
t=time
v(t)=speed
so the area under the curve is distance
covered 5.49 meters

8 0

2 years ago

sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years

andre [41]

Answer:

the value of the investment after 3 years= £11,904

Step-by-step explanation:

sarah invests £9600 at a simple interest rate of 8% per year

number of years = 3

Formula for simple interest

I = P*n* r

P is the initial amount invested= 9600

r is the rate of interest = 8% = 0.08

n = number of years = 3

Now we find interest using formula

I = 9600 * 0.08 * 3= 2304

Interest amount is 2,304

Now we add the interest with the initial amount to get the value of investment after 3 years

9600 + 2304= 11904

6 0

2 years ago

Suppose that A, B, C, are independent random variables, each being uniformly distributed over (0, 1). (a) What is the joint cumu

Gekata [30.6K]

Answer:

a) F (A , B,C)(a,b,c) = abc

b) Answer is in derivative

Step-by-step explanation:

Hence area is maximum x=6

For ( a,b,c) ∈ (0,1)

We have that

F A, B,C (a,b,c) = A≤ a , B≤ b , C≤c

=P (A≤a) P (B≤b) P (C≤c)

A , B, C ≈ unit (0,1) we have that

P (A≤a) =a

P (B≤b) =b

P (C≤c)=c

Thus

F (A , B,C)(a,b,c) = abc

b) Answer is in derivative

5 0

2 years ago

Pooja's plant began sprouting 2days before Pooja bought it, and she had it for 98 days until it died. At its tallest, the plant

taurus [48]

Given that function H(t) models the height of Pooja's plant (in centimeters) where t is the number of days after she bought it.

Now we have to find about which number type is more appropriate for the domain of h. That means what values can be taken by the variable "t".

Since t is number of days not the hours so t will not use decimal or fraction values. It can use integer values for the number of days.

Since time is counted after she bought the plant then number of days will be positive.

Hence answer for the type of domain can be positive integers or you can say integers greater than or equal to 0.

4 0

2 years ago

Read 2 more answers

A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those

const2013 [10]

Answer:

The two stadiums are approximately 3115.1 meters away from each other

Step-by-step explanation:

Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.

In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:

$tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx 290.6\,\,meters$

and for the other one:

$tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx 3405.7\,\,meters$

The the distance between the stadiums is the difference:

b - a = 3405.7 - 290.6 meters = 3115.1 meters

8 0

2 years ago