Answer:
<u>0.04kg</u>
Step-by-step explanation:
Kinetic energy Formula: eK=0.5×m×v²
to work out mass
we can rearrange the formula and make it:
~m=eK÷(0.5×v²)
now insert the missing digits into the formula:
m=200÷(0.5×100²)
work it out, and you get your answer
m=0.04kg
Hopefully this helped-have a good day)
My guess would be -54 because we are starting with -54
Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Check the picture below
if your calculator is in Degree mode, you'll get the angle in degrees, if in Radian mode, you'll get radians get taking the inverse sine, so you know
Answer:
1.5%.
Step-by-step explanation:
x per cent is written as 0.01x as a decimal fraction.
638.30 = 550(1 + 0.01x)^10
(1 + 0.01x)^10 = 638.30/550
Taking logarithms:
10 ln (1 + 0.01x) = ln ( 638.30/550)
ln (1 + 0.01x) = ln ( 638.30/550)/ 10
ln(1 + 0.01x) = 0.014889
Converting the logs:-
1 + 0.01x = e^0.014889 = 1.015
0.01x = 1 - 1.015
0.01x = 0.015
x = 0.015/ 0.01
= 1.5.
