Place the following numbers in order from least to greatest.300, 0, -200, 200, -150, -250, 150

Answers

Answer 1
Answer:

Answer:

-250 , -200 , -150 , 0 , 150 , 200 , 300

Step-by-step explanation:

Answer 2
Answer:

Answer:

-250, -200, -150, 0, 150, 200, 300

Step-by-step explanation:


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A nest of ants initially contains 500 individuals. The population is increasing by 12% each week.a) How many ants will be there after :
i. 10 weeks
ii. 20 weeks

b)How many weeks will it take for the ant population to reach 2000.

Answers

Answer:

a) (i) 1553 ants

(ii) 4823 ants

b) 12 weeks

Step-by-step explanation:

Given,

The initial number of ants, P = 500,

Also, the rate of increasing per week, r = 12% = 0.12,

So, the number of ants after x weeks,

A=P(1+r)^x

\implies A=500(1+0.12)^x=500(1.12)^x

a) (i) If x = 10 weeks,

The number of ants would be,

A=500(1.12)^(10)=1552.92\approx 1553

(ii) If x = 20 weeks,

The number of ants would be,

A=500(1.12)^(20)=4823.15\approx 4823

b) If A = 2000

\implies 2000 = 500(1.12)^x

4=(1.12)^x

Taking log both sides,

log(4) = xlog(1.12)

x =  12.23 ≈ 12 weeks

A)4, 823
B)13 Weeks

A: 500 (1 + .12)^x (which is 500 (1 + .12)^20 now)
= 4823. 15 which is ≈ 4823.

B: 2000/ y1 =  500 (1 + .12)^x / y2

12.23 so 13 weeks

Katie types 600 words in 5 minutes. She compared her typing speed to the record typing speed for her school shown in the table.Choose the answer that correctly compares Katie’s typing speed to the record typing speed for her school.

Question options:

A.) Katie types slower than the school record speed.
B.) Katie types faster than the school record speed.
C.) Katie’s typing rate is the same as the record speed for her school.

Answers

Answer:

a

Step-by-step explanation:

since the school recorded is in two minutes, they wrote 420 words, and Katie in 5 minutes wrote 600 words, if you put the average to the person who wrote 420 words in 2 minutes to-

in every too minutes they write 420 words.

so in four minutes they would of typed 840 words, which is more words than Katie in less minutes.

The figures shown are similar.What is the scale factor?



A.

2/3
B.
1/4

C.
3/4

D.
1/6

Answers

Well first off here we know that one of the figures here is 24 and the other one is 18 so immediatly we can make a fraction out of this by putting the bigger number on the bottom as the denominator and the smaller number on the top as the numerator like so 18/24 we also know that this fraction can easily be simplified like so 3/4 (because 6 goes into each of them evenly) so the scale factor of these 2 figures is 3/4 or C.Enjoy!=)

Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the distance of Kassy's trip according to her map. Round your answer to the nearest hundredth.

Answers

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Georgia Preserves is test marketing a new peach-orange marmalade. The following responses were collected from 500 people who were offered samples of the new product at a shopping mall. The marketing department of Georgia Preserves predicted that 300 people would probably buy the product between the present time and next year. Determine the relative error. (Hint: Find the absolute error first.)"I love it! Where can I buy it today?" = 127 responses

"I'll probably try it over the next year, sometime." = 162 responses

"I'll probably try it, but only if I have a discount coupon." = 153 responses

"I don't like this marmalade." = 58 responses

Answers

The right answer for the question that is being asked and shown above is that: ""I'll probably try it, but only if I have a discount coupon." = 153 responses." The relative error is "I'll probably try it, but only if I have a discount coupon." = 153 responses

Evaluate each expression for a = -4, b = 3, and c = 2.
3a-1

Answers

Answer:

the answer is -13

Step-by-step explanation: