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PIT_PIT [208]
2 years ago
8

The set of points P(0, 3), Q(2, 0), R(4, -3) are collinear and the line has a slope of _____.

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
7 0

Answer:

-3/2,collinear.

Step-by-step explanation:

slope of PQ=(0-3)/(2-0)=-3/2

eq. of line PQ is

y-3=-3/2(x-0)

y-3=-3/2 x

or2y-6=-3x

or 3x+2y=6

if R(4,-3) lies on it,then

3(4)+2(-3)=6

12-6=6

or 6=6

which is true.

Hence points P,Q,R are collinear.

and line has aslope=-3/2

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The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
dimaraw [331]

Answer:

v(0) = 32,000 . . . dollars

v(13) = 16,427 . . . dollars

Step-by-step explanation:

The initial value is the value of the function for t=0. Put that into the formula and evaluate.

v(0) = 32,000(0.95^0) = 32,000 . . . . dollars

__

The value after 13 years is the function value for t=13. Put that into the formula and evaluate.

v(13) = 32,000(0.95^13) ≈ 32,000·0.513342 ≈ 16,427 . . . . dollars

5 0
2 years ago
A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema
dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

P_t=P_oe^{-rt}\\\\

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0
3 years ago
please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!
scZoUnD [109]

Answer:

Just use a calculator and wite the square root value in it

Step-by-step explanation:

Atempt this method with all options at last u will have ur answer

4 0
3 years ago
Match each value with the smallest number set that it belongs to.
bulgar [2K]
(-2)^3
12^0
I don't know the rest
4 0
3 years ago
2/3 (greater than less than or equal) 8/12
NemiM [27]
2/3 = 8/12
reason:
2/3 * 4/4
5 0
3 years ago
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