MATHEMATICS HIGH SCHOOL

Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper? A. 38x − 1,450 > 76 B. 38(x + 1,450) > 4,000 C. 38x > 4,000 D. 38x + 1,450 > 4,000

Answers

Answer 1

Answer:

Answer:

D. 38x + 1,450 > 4,000

Step-by-step explanation:

It has to be greater than 4,000 so A makes no sense

The parentheses are in the wrong place completely changing the meaning for B

C disregards the info we have about how she's already typed 1,450 words

The answer has to be D

Step-by-step explanation:

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A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.1 hour
6 hours
13 hours
15 hours

Answers

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

$n(h)=100e^(0.25h)$

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

$450=100e^(0.25h)\n\n(450)/(100)=e^(0.25h)\n\n4.5=e^(0.25h)\n\n\text{Taking natural log 'ln' on both sides}\n\n\ln (4.5)=0.25h\n\n1.50=0.25h\n\nh=(1.50)/(0.25)\n\nh\approx 6\ hours$

Hence, Second option is correct.

6 hours is the amount of time

What is the equation of the line that passes through the point (3,-2) and has a
slope of -2?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

Find the area and perimeter of an isosceles trapezoid with legs 25cm and bases 16 cm and 30 cm.

Answers

Hi there, A=1/2(b1+b2)=1/2(h)(30+16). What we have to do is find h, 30-16=14/2=7, 25²-7²=625-49=576, we know that 576=24. So, h=24, 1/2(24)(30+16)=12(46). So, the area is 552 cm². Now, it's time to find the perimeter. P=b+b+l+l=30+16+25+25=96 cm. Therefore, the area is 552 cm² and the perimeter is 96 cm.

for every ton of paper that is recycled, 17 trees are saved.Is it a discrete or a continuous relationship?