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3 years ago

Express 8.432•10^4 in standard notation

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

8 0

Answer:

84320.0 or 84320

Step-by-step explanation:

The positive 4 power tells you to move the decimal 4 places to the right.

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A dealer sold 500 tennis racquets some were sold at $20 each and the rest were sold at $45 each. The total receipts from these s

arlik [135]

Answer:

He sold 100 rackets for $ 20

Step-by-step explanation:

To start, we have to make 2 equations, one that represents the number of rackets and the other the money

x + y = 500

x * 20 + y * 45 = 20000

we clear x in the first equation

x + y = 500

x = 500 - y

we replace x in the second equation with (500 - y)

x * 20 + y * 45 = 20000

(500 - y) * 20 + y * 45 = 20000

10000 - 20y + 45y = 20000

-20y + 45y = 20000 - 10000

25y = 10000

y = 10000/25

y = 400

we replace x in the first equation with the value obtained

x = 500 - y

x = 500 - 400

x = 100

He sold 100 rackets for $ 20

8 0

4 years ago

Read 2 more answers

A store has 80 modems in its inventory, 30 coming from source a and the remainder from source

Mrrafil [7]

The number of defective modems in the inventory is 20%⋅ 30 + 8%⋅ 50 = 10 (out of 80). Note that the number of defectives in the inventory is fixed, i.e., we are not told that there is 1 8 probability that a modem in the inventory is defective, but rather that exactly 1 8 of all modems are defective. The probability that exactly two modems in a random sample of five are defective is = 0.102

5 0

3 years ago

Given () = −^3 + 2^2 +(3/2) be the position of a particle moving along the x-axis at time t. At what time will the instantaneous

cestrela7 [59]

Answer:

5.266 secs

Step-by-step explanation:

Lets assume ; p(t) = t^-3 + 2^2 + ( 3/2 ) is the particle position along x-axis

time interval [ 0, 4 ]

Average velocity = Displacement / time

= p( b ) - p( a ) / b - a -------- ( 1 )

where a = 0 , b = 4 ( time intervals )

Back to equation 1

Average velocity = [ ( 4^-3 + 4 + (3/2) ) - ( 0 + 4 + (3/2) ) ] / 4

= 3.9 * 10^-3 ----- ( 2 )

Instantaneous velocity = d/dx p(t)

= - 3/t^4 ------ ( 3 )

To determine the time that the instanteous velocity = average velocity

equate equations (2) and (3)

3.9*10^-3 = - 3 / t^4

t^4 = - 3 / ( 3.9 * 10^-3 ) = - 769.231

hence t = $\sqrt[4]{- 769.231 }$ = 5.266 secs

we ignore the negative sign because time can not be in the negative

4 0

3 years ago

Simplify the following the question 2

Ainat [17]

Question two simplified is this :)

5 0

3 years ago

The police uses a speed gun to monitor one part of the highway. During one hour, 6 out of 25 cars were traveling above the speed

Oksanka [162]

24% of the cars were travelling above the speed limit.

Step-by-step explanation:

Given,

Total cars monitored = 25

Cars traveling above the speed limit = 6

Percent of cars traveling above speed limit = $\frac{Cars\ travelling\ above\ speed\ limit}{Total\ cars\ monitored}*100$

Percent of cars = $\frac{6}{25}*100\\$

$Percent\ of\ cars=\frac{600}{25}\\Percent\ of\ cars=24\%$

24% of the cars were travelling above the speed limit.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

7 0

4 years ago