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marin [14]
3 years ago
12

consider the equation 6*e^0.25t = 9 solve the equation for t. express the solution as a logarithm in base-e

Mathematics
1 answer:
Crank3 years ago
8 0

6e^{0.25t} = 9 is e^(0.25t) = 9/6 = 3/2 which is

ln(3/2) = 0.25t which is t = ln(3/2)/0.25

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Why is 1 + (−5) equal to −4? (1 point)
Dafna11 [192]

I'm pretty sure it's D

Filler to post

7 0
3 years ago
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Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5
Norma-Jean [14]

9514 1404 393

Answer:

  (a)  (-2, 4)

Step-by-step explanation:

The orthocenter is the point of concurrence of the altitudes of the triangle.

A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.

__

Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:

  a (-2, 4)

8 0
2 years ago
A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating
julsineya [31]

It takes them 12 seconds to eat the whole sausage.

<h3>What is speed?</h3>

Speed is the rate of change of distance.

Analysis:

If kitten eats x cm, then puppy will eat 14 - x cm

speed = d/t

speed of kitten = 1/2

speed of puppy = 2/3

1/2 = x/t

2/3 = 14 - x / t

t = 2x--------1

2t = 3(14 - x ) -------- 2

substitute t in equation 2

2(2x) = 3(14 - x)

4x = 42 - 3x

7x = 42

x = 42/7 = 6cm

substitute value of x in equation 1

t = 2(60 = 12 seconds.

In conclusion, it takes the both animals 12 seconds to finish the sausage.

Learn more about speed: brainly.com/question/4931057

#SPJ1

3 0
1 year ago
Which correctly gives the location of the point (–14, 3)?
trapecia [35]
Answer is <span>B. 
Quadrant II </span>
8 0
3 years ago
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At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price
wel

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

6 0
2 years ago
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