MATHEMATICS HIGH SCHOOL

Express this number in scientific notation.
245,600,000,000
plzzzzz hurry!

Answers

Answer 1
Answer:

Answer:

2.456 × 10^11

Step-by-step explanation:

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There is a school with 1,000 students and 1,000 lockers. On the first day of term the headteacher asks the first student to go along and open every single locker, he asks the second to go to every second locker and close it, the third to go to every third locker and close it if it is open or open it if it is closed, the fourth to go to the fourth locker and so on. The process is completed with the thousandth student. How many lockers are open at the end?
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Find the value of n. 19n-57=76

Answers

19n-57=76

You must get "n" by itself

19n-57+57=76+57 (add 57 to each side)

19n=133

Divide 133 by 19

133÷19=7

n=7

The population of a city is represented by the function p(t)=33,500(1.014)^t where t represents time in years and corresponds to the year 2000. According to this model, what is the expected population of the city 2015

Answers

Replace t with 15 (2015-2000):

p(15)=33,500(1.014)^(15)\n \n p(15)=33,500(3,8729)\n \n p(15) \approx 129,742 \ inhabitants
p(t) = 33500(1.014)^t\n \n t = (2015 - 2000) = 15\n \n i.e., p(15) = 33500(1.014)^(15) \n \n => p(15) = 33500.38729 \n \n => 1297421500

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.

Answers

Hello,

Equation is
y-3=2(x+1)
or
y=2x+5

An other point : if x=0 y= 5 is (0,5)

32 tens is the same as what

Answers

It is the same as 320.

The weight of a person on Venus is directly proportional to their weight on Earth. Aperson weighing 120 pounds on Earth weighs 106 pounds on Venus.
Approximately how much would a person weighing 180 pounds on Earth weigh on
Venus?

Answers

Answer:

a person would weigh 158 pounds on venus

Step-by-step explanation:

weight of a person on venus is directly proportional to their weight on earth

i.e. weight on venus ∝ weight on earth

weight on venus = k * weight on earth

where k is the constant of proportionality

according to the question:

106 = k * 120

k = 106/120 = .88

thus,

person weighing 180 pounds on earth weighs on venus:

weight on venus = .88 * 180

  = 158 pounds

7. The XYZ Office Supplies Company sells calculators in bulk at wholesale prices, as well as individually at retail prices. Next year's sales depend on market conditions, but executives use probability to find estimates of sales for the coming year. The following tables are estimates for next year's sales. WHOLESALE SALES Number Sold Probability 2,000 0.1 5,000 0.3 10,000 0.4 20,000 0.2 Number Sold Probability RETAIL SALES 600 0.4 1,000 0.5 1,500 0.1 What profit does XYZ Office Supplies Company expect to make for the next year if the profit from each calculator sold is $20 at wholesale and $30 at retail?

Answers

Answer

given,

WHOLESALE SALES

Number Sold    2,000            5,000             10,000         20,000

Probability           0.1                  0.3                  0.4                 0.2

RETAIL SALES

Number Sold    600                1,000              1,500        

Probability           0.4                 0.5                  0.1          

Wholesale Sold

= 2000 (0.10) + 5000 (0.3) + 10000 (0.4) + 20000 (0.2)

= 9700

Cost = 9700 x $20

        = $ 194,000

Retail Sale

= 600 (0.4) + 1000 (0.5) + 1500 (0.1)

= 890

Cost = 890 x $30

        = $ 26,700

Profit this year

    = $ 194,000 + $ 26,700

    = $ 220,700
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