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egoroff_w [7]
3 years ago
5

Find the samllest value of K when : 280k is a perfect square 882 is a cube

Mathematics
1 answer:
adoni [48]3 years ago
5 0
280 = 7 x 2^3 x 5
882 = 7^2 x 2 x 3^2

For 280k to be perfect square , their powers need to be even
For 882 to be a cube, their powers need to be in multiple of 3,

To satisfy both parties,
K = 7 x 2^5 x 3^4 x 5^3 = 2268000
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A package weighs 80 ounces. What is the weight of the package in pounds?
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Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

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3 0
3 years ago
1. A baseball player got a hit 19 times in his last 64 times at bat.
fiasKO [112]

A) Probability =0.297

B)In 200 times he can hit 59 times !

<u>Step-by-step explanation:</u>

Here we have , A baseball player got a hit 19 times in his last 64 times at bat. We need to find the following :

a. What is the experimental probability that the player gets a hit in an at bat?

According to question ,

Favorable outcomes = 19

Total outcomes = 64

Probability = (Favorable outcomes)/(Total outcomes) i.e.

⇒ Probability = \frac{19}{64}

⇒ Probability =0.297

b. If the player comes up to bat 200 times in a season, about how many hits is he likely to get?​

According to question , In 64 times he hit 19 times . In 1 time there's probability to hit 0.297 times! So ,In 200 times he can hit :

⇒ Hit =0.297(200)

⇒ Hit = 59.36

Therefore , In 200 times he can hit 59 times !

4 0
3 years ago
The cheeseburger in Alan's kid's meal has 300 calories. His fries have 101 and his drink has 150. How many tota calories
Scorpion4ik [409]
His meal has a total of 551 calories.

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8 0
2 years ago
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The value of a house decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in
Westkost [7]

Answer: The total percentage loss would be 67%.

Step-by-step explanation:

Since we have given that

Rate of decline each year = 20%

Number of years = 5

We need to find the total percentage loss in value of the house at the end of 5 years.

So, Total percentage loss would be

1-(1-\dfrac{r}{100})^5\\\\=1-(1-\dfrac{20}{100})^5\\\\=1-(\dfrac{4}{5})^5\\\\=1-(0.8)^5\\\\=0.67\\\\\approx 67%

Hence, the total percentage loss would be 67%.

8 0
3 years ago
How are sequences whose consecutive terms differ by a constant modeled, and what can those models tell us?
alex41 [277]

Answer:

Linear functions

Step-by-step explanation:

3 0
3 years ago
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