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LUCKY_DIMON [66]
3 years ago
6

Sarah backstrokes at an average speed of 8 meters per second , how long will it take her to complete the race of 200 meters leng

th? Please show work
Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:25 seconds

Step-by-step explanation:

Just divide 200/8 and you’ll get 25 because 4 multplied by 25 is 100 so 8 multiplied by 25 is 200

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Solve the equation <img src="https://tex.z-dn.net/?f=8x%5E2%3D-36" id="TexFormula1" title="8x^2=-36" alt="8x^2=-36" align="absmi
chubhunter [2.5K]

Answer: 4(2x²+9) or i\frac{3\sqrt{2} }{2}

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36            [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0         [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0       [divide both sides by 4]

2x²+9=0            [subtract both sides by 9]

2x²=-9               [divide both sides by 2]

x²=-9/2              [square root both sides]

x=\sqrt{-\frac{9}{2} } or x=i\frac{3\sqrt{2} }{2}

6 0
3 years ago
Read 2 more answers
Find the population variance of: 4 6 8 9 9 <br><br> round to the nearest hundredth
soldi70 [24.7K]

Answer:

Step-by-step explanation:

To find the population variance, we first need the mean:

\bar{x}=\frac{4+6+8+9+9}{5}=\frac{36}{5}=7.2 so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this:

(4-7.2)^2=10.24\\(6-7.2)^2=1.44\\(8-7.2)^2=.64\\(9-7.2)^2=3.24\\(9-7.2)^2=3.24

Add together those numbers and divide them by 5:

\sigma=\frac{10.24+1.44+.64+3.24+3.24}{5}=\frac{18.8}{5}=3.76

5 0
2 years ago
The volume of a cylinder is 628 cm3. Find the radius of the base if the cylinder
kirza4 [7]
Radius is 5 cm. is the answer

8 0
3 years ago
There is 3 4 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1 4 of the pie that was left. Enter how much of the
lora16 [44]

Answer:

3/16

Step-by-step explanation:

Let the size of the whole apple be T

Given that 3/4 of the apple is left, it means the size left

= 3T/4

Since Victor plans to eat 1/4 of the pie that was left, this amounts to

1/4 * 3T/4

= 3T/16

This means that Victor will eat 3/16 of the whole pie tomorrow

5 0
2 years ago
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T
Amiraneli [1.4K]

Answer:

60

Step-by-step explanation:

Substitute 50 for y in the formula

5x+10y=800

5x+10*50=800

5x+500=800

5x=800-500

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x=300/5

x=60

3 0
3 years ago
Read 2 more answers
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