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Leona [35]
3 years ago
14

Find the distance d(A,B) between points A and B.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

A(4,-5) ; B(4,3)

distance d(A,B) = \sqrt{( 4 - 4)^{2} + (3 -(-5))^{2} } = 8

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Given that 5W = 2P + 3R find the value of P when W = 4 and R = −4
Olenka [21]

Answer:

P = 16

Step-by-step explanation:

Given

5W = 2P + 3R ← substitute W = 4 and R = - 4 into the equation

5(4) = 2P + 3(- 4), that is

20 = 2P - 12 ( add 12 to both sides )

32 = 2P ( divide both sides by 2 )

16 = P

5 0
3 years ago
A culture started with 5,000 bacteria. After 2 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after
lesya [120]
This can be expressed as exponential growth of the form:

f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time

In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...

6500=5000r^2  divide both sides by 5000

1.3=r^2  take the square root of both sides and note that we know r>0

r=1.3^(1/2) so our equation becomes:

f=5000(1.3)^(1/2)^t  and knowing that (a^b)^c=a^(b*c) we can say:

f=5000(1.3)^(t/2)  so for t=18

f=5000(1.3)^9

f≈53022  (to nearest whole bacteria)
7 0
3 years ago
What is 23/6 as a mixed number?
saveliy_v [14]
23/6 as a mixed fraction is 3(5/6)
7 0
3 years ago
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Select all ratios that are in their simplest form.<br> A 21:19 B 14:29 C 18:24 D 2:16 E 26:3
ludmilkaskok [199]

Answer:

pointss

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jimmy has 50 candies. He ate 24. How much does he have left?
Alex777 [14]

Answer:

26 candies.

Step-by-step explanation:

Jimmy will have 26 candies left, because 50 - 24 = 26. Or, in other words, 24 subtracted (or ate) from 50 means 26 candies left.

Hope this helped!

8 0
3 years ago
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