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8090 [49]
3 years ago
14

Suppose a runner completes one lap around a 400-m track in a time of 50 s. Calculate the magnitude of the average velocity of th

e runner.
Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

8m/s

Step-by-step explanation:

The formula to calculate the average velocity would be

V=meters/second

in this case we have that

V=400m/50s = 8m/s

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19.2 is what percent of 24
Aleonysh [2.5K]
19.2 is 80% of 24. :)  :) :) 
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4 years ago
What integer represents a credit of $35 if zero represents the original balance?
ser-zykov [4K]
It should be -35 because negative interfere represent below zero
4 0
3 years ago
Express the ratio of 300 miles to 25 gallons of gasoline as a unit rate. Simplify your answer. Show your work
Alchen [17]

Answer:

1 gallon to 12 miles

Step-by-step explanation:

Distance = 300 miles

Gasoline used = 25 gallons

Expressing as a unit rate :

Distance covered per gallon of gasoline :

Distance / gasoline used

300 / 25

12 miles

Hence, the unit rate is :

1 gallon of gasoline = 12 miles

1 gallon of gasoline will cover 12 miles in distance.

6 0
3 years ago
Help please would appreciate​
Anuta_ua [19.1K]

Answer:

Ah! Thank you for a little challenge!

Step-by-step explanation:

To do this, we need to first find our new lengths!

Height= 50+x

Radius= 20+x

Now, to find the Volume!

Using the volume formula for a cylinder(v=pi*r^2*h)

v=\pi(20+x)^{2}  (50+x)

So, we have our equation! let's solve!

V=\pi*(x^{2}+40x+400)(50+x)\\V=\pi(x^{3} +90x^{2}+2400x+20000)

Now, I'm guessing you had trouble with it because it looked really scary.

So what I did in the first step was expand (20+x)^2, and I used the special formula(forgot what else it was called, (a+b)^2=a^2+2ab+b^2)

Next, I multiplied the expand form of that with (50+x), and the way to do that is by multiplying each term in the parentheses with every term in the next parentheses(distributive property).

So, uh, that's it! Not very scary, just a bit of in-head math!

Hope this helps! If you want to learn more or need more help, check out Khan Academy for the "squares of binomials" or "polynomials"

8 0
3 years ago
Find all rational zeros of the polynomial
rjkz [21]

x^3+x^2-5x+3=x^3+3x^2-2x^2-6x+x+3\\\\=(x^3-2x^2+x)+(3x^2-6x+3)=x(x^2-2x+1)+3(x^2-2x+1)\\\\=(x^2-2x+1)(x+3)=\underbrace{(x^2-2(x)(1)+1^2)}_{(a-b)^2=a^2-2ab+b^2}(x+3)=(x-1)^2(x+3)\\\\P(x)=0\iff(x-1)^2(x+3)=0\iff(x-1)^2=0\ \vee\ (x+3)=0\\\\x-1=0\ \vee\ x-1=0 \vee\ x+3=0\\\\x=1\ \vee\ x=1\ \vee\ x=-3\\\\Answer:\ \boxed{x_1=1,\ x_2=1,\ x_3=3}

4 0
3 years ago
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