If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions r1(t) = t2, 11t − 18, t2 r2(t) = 3t − 2, t2, 7t − 10
Answers
Answer:
t= 2 s
Step-by-step explanation:
See it in the pic.
Related Questions
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?
4 tons of cement cost $480.00. What is the price per pound?
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)452.16 cm3 840.54 cm3 1,055.04 cm3 1,456.96 cm3
Let X be a binomially distributed random variable with parameters n=500 and p=0.3. The probability that X is no larger than one standard deviation above its mean is closest to which of the following? a. 0.579 b. 0.869 c. 0.847 d. 0.680
6 ft.
6
ft.
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Answer:
3 ft
Step-by-step explanation:
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Answer:
42 in each basket 4 leftover
Step-by-step explanation:
6 divided by 256 = 42 R4 and the remainder is how many are leftover.
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compounded quarterly. After 9 years, how much more money would Zachary have in
his account than Peyton, to the nearest dollar?
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After 9 years, Zachary has $615.2 more than Peyton in his account.
What is compound interest?
A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The equation is given as,
Zachary invested $5,300 in an account paying an interest rate of 9 % compounded continuously. Then the amount is calculated as,
P = $5,300 × 2.2479
P = $11,913.9
Peyton invested $5,300 in an account paying an interest rate of 85% compounded quarterly. Then the amount is calculated as,
A = $5,300 × 2.1318
A = $11,298.7
The difference is given as,
D = $11,913.9 - $11,298.7
D = $615.2
After 9 years, Zachary has $615.2 more than Peyton in his account.
More about the compound interest link is given below.
#SPJ5
Answer:625
Step-by-step explanation:
12048.7006-11423.8842
624.8164
$625
Answers
Answer:
-164
Step-by-step explanation:
(2 - (- 2)²)² +5 · ( -4)
(2 + 2²) ² +5 · ( -4)
(2 + 2 + 2)² +5 · ( -4)
6² +5 · ( -4)
6 · 6 + 5 · -4
36 + 5 · -4
41 · -4
-164
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answers
The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is .
Given that,
A 30-ft. ladder makes an angle of 60 degrees with the horizontal.
We have to find,
The angle will a 35ft.ladder make the horizontal if it reaches the sample spot.
According to the question,
A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall.
h = 30sin60
Then, the angle will a 35-ft. ladder make the horizontal if it reaches the sample spot.
Hence, The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is
For more information about Trigonometry click the link given below.
sin60=h/30
h=30sin60
Now we can find the angle that the 35 ft ladder make when it touches the same spot.
sinα=h/35 and using h we found earlier...
sinα=(30sin60)/35
α=arcsin[(30sin60)/35]
α≈47.93 (α≈47º55'42")