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3 years ago

Determine the image of the point (5, -2) under a rotation of 90 degrees about the origin.

1 answer:

8 0

90 degrees means 90 degrees counterclockwise. So from the fourth quadrant we'll end up in the first quadrant. X and Y get swapped and one negated, it must be the -2 becoming 2, so our image is

(2,5)

Answer: A

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A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to

s2008m [1.1K]

Answer:

Part 1 : $A=250 e^{-0.008223t}$

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

$A=A_0 e^{kt}$

If t = 0 min, A = 250 grams,

$250=A_0 e^{0}$

$\implies A_0 = 250$

If t = 250, A = 32 grams,

$32 = A_0 e^{250k}$

$32 = 250 e^{250k}$

$0.128 = e^{250k}$

Taking ln both sides,

$\ln(0.128) = 250k$

$\implies k =\frac{\ln(0.128)}{250}=-0.008223$

Hence, the equation that shows this situation,

$A=250 e^{-0.008223t}$

Part 2 : If A = 250/2 = 125,

$125 = 250 e^{-0.008223t}$

$0.5 = e^{-0.008223t}$

Taking ln both sides,

$\ln(0.5) = -0.008223t$

$\implies t =\frac{\ln(0.5)}{-0.008223}\approx 84$

Therefore, the half life of the substance would be 84 minutes.

8 0

3 years ago

Which is equivalent to (2-5i)(-2+5i)

Nadusha1986 [10]

= -4 + 10i + 10i -25i^2 = -4 + 20i + 25 = 21 + 20i, because i^2 = -1.

6 0

3 years ago

Read 2 more answers

Two consecutive even integers have a sum of 46

eduard

<span>Two consecutive even integers have a sum of 46 are</span> 22 and 24

hope it helps

5 0

3 years ago

Read 2 more answers

Please help me solve this

OlgaM077 [116]

Answer:

645320

Step-by-step explanation:

Given: 6_5_2_

If a multiplication sign is placed between the second and third digit, and an equal sign is placed between the third and fourth digit, then

6_ × 5 = _2_

The passcode contains 6 DIFFERENT digits, so we know the missing numbers cannot be 6, 5, or 2.

So, do a trial and error session of multiplying 5 by numbers it could possibly be (60, 61, 63, 64, 67, 68, 69).

64 × 5 = 320. It is the only equation that is both correct and matches the digits given, so the missing digits are 4, 3, and 0. Barry's passcode is 645320.

4 0

3 years ago

Given: m =-2/3

Elenna [48]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

6 0

3 years ago