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BartSMP [9]
3 years ago
14

a cup was filled at a constant rate. it started empty. after 2 seconds, it held 70 cm cubes of water. the radius is 4 and te hei

ght is 7. find the percent of the cup that is filled with water after 3 seconds. this is a cone
Mathematics
1 answer:
Viktor [21]3 years ago
8 0

Answer:

89.51%

Step-by-step explanation:

Assuming given units are in cm

Tge rate of filling the cup is 70/2= 35 cm3/s

Volume of the cup is \pi r^{2}\frac {h}{3} and replacing r with 4 cm and h with 7 cm then the volume is equivalent to

\pi*4^{2}*\frac {7}{3}= 117.3 cm^{3}

Volume filled after 3 seconds will be 3*35=105 cm3

Percentage filled is \frac {105}{117.3}\times 100\approx 89.51

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The ratio of red balloons to blue balloons at a party is 4 to 9. If there are 20 red balloons, how many blue balloons are there?
STALIN [3.7K]

Answer:

Step-by-step explanation:

4/9 to 20/x

cross multiply and divide to get your answer

4     20

9     x

4x=180

x=45

5 0
3 years ago
For four weeks in June Cameron baked 3 1/4 miles each week and swim 2 1/2 miles each week for three weeks in July he baked 4 3/4
Tems11 [23]
For June:
 Bike:
 (4) * (3 1/4) = 13 miles
 Swim:
 (4) * (2 1/2) = 10 miles
 Total:
 13 + 10 = 23 miles
 For July:
 Bike:
 (3) * (4 3/4) = 14.25 miles
 Swim:
 (3) * (3 1/2) = 10.5 miles
 Total:
 14.25 + 10.5 = 24.75 miles
 The difference between both months is:
 24.75 - 23 = 1.75 miles
 Answer:
 
the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater
6 0
3 years ago
Write 56\90 as a decimal
Evgen [1.6K]

Answer:

0.62

Step-by-step explanation:

divide 56 by 90

Hope this helps :)

7 0
3 years ago
Read 2 more answers
a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increas
Yuri [45]

The time it would take for the bacteria to reach 1119 is 5.83 hours

<h3>Calculations and Parameters:</h3>

Given the function:

Pt= P_0e^k^t

  • Initial amount= 50
  • amount after 3 hours= 80

To find the exponential growth;

80 = 50e^k^*^3

k= 1.6/3\\k= 0.533

If there is a constant growth, then to get to 1119:

1119= 50e^0^.^5^3^3^*t

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

brainly.com/question/2456547

#SPJ1

6 0
2 years ago
Ramon is interested in whether the global rise in temperature is also showing up locally in his town, Centerdale. He plans to lo
denis-greek [22]

Answer:

d. The random variable is the number of years in which the temperature increased from the previous year.

Step-by-step explanation:

The random variable is the amount of years that have higher average temperatures than its previous year.

As the sample is from 5 years, the random variable can take values from 0 (where none of the years increase their average temperature from its previous year) to 4 (where every year increases the average temperature).

8 0
3 years ago
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