2 years ago

HELP PLS

Mathematics

1 answer:

masha68 [24]2 years ago

7 0

I think it would be 0°

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Chad is eating a 50-gram chocolate bar which contains 30% cocoa. How many grams of cocoa are in the chocolate bar?

Allushta [10]

Answer: 15 grams

If he had 100 grams of candy bar, then 30% of that is 30 grams (since 30/100 = 30%). Cut this in half and we end up with 30/2 = 15.

Another way to find the answer is to multiply 50 and 0.30 which is the decimal form of 30%. So we have 50*0.30 = 15 which is the same answer.

8 0

3 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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3 years ago

What is the maximum number of possible extreme values for the function,

Len [333]

It is B4 so i know it is

6 0

3 years ago

Read 2 more answers

What is StartFraction negative 23 over 6 EndFraction minus StartFraction 7 over 3 EndFraction

creativ13 [48]

Answer: $\frac{16}{3}$