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valina [46]
3 years ago
8

PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!! <3

Mathematics
2 answers:
lesantik [10]3 years ago
3 0

1. 42e+18

That Is the answer for one



svetoff [14.1K]3 years ago
3 0
1. Well, you can use the distributive property, i.e., you can multiply the entire thing by an integer to get a multiple of the term. So:
6(7e+3) = 42e+18

2. The 18th customer will because 18 is a multiple of 6 as well as 9. You could also say 36th, 54th, or even further: just keep adding 18. Symbolic Representation:

∞
∑ (Something that says "this repeatedly adds up to 18")
n=1

3. -1 F\ \textless \  3F
*Not sure about this one.

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A jar contains 5 orange marbles, 3 black marbles, and 6 brown marbles. event a = drawing a brown marble on the first draw event
tino4ka555 [31]

The probability of event A and event B IS  15/91.

What is the probability?

Probability determines the odds that a random event would occur. The odds lie between 0 and 1.

The probability of event A  = number of brown marbles / total number of marbles

= 6/14

The probability of event B = number of orange marbles / total number of marbles -1

= 5/13

P(A and B) =6/14 x 5/13

                 = 30/182

                 = 15/91

To know more about probability visit:

brainly.com/question/3142525

#SPJ4

7 0
2 years ago
Find a particular solution to the nonhomogeneous differential equation y′′+4y=cos(2x)+sin(2x).
I am Lyosha [343]
Take the homogeneous part and find the roots to the characteristic equation:

y''+4y=0\implies r^2+4=0\implies r=\pm2i

This means the characteristic solution is y_c=C_1\cos2x+C_2\sin2x.

Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form y_p=ax\cos2x+bx\sin2x. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.

With y_1=\cos2x and y_2=\sin2x, you're looking for a particular solution of the form y_p=u_1y_1+u_2y_2. The functions u_i satisfy

u_1=\displaystyle-\int\frac{y_2(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\int\frac{y_1(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx

where W(y_1,y_2) is the Wronskian determinant of the two characteristic solutions.

W(\cos2x,\sin2x)=\begin{bmatrix}\cos2x&\sin2x\\-2\cos2x&2\sin2x\end{vmatrix}=2

So you have

u_1=\displaystyle-\frac12\int(\sin2x(\cos2x+\sin2x))\,\mathrm dx
u_1=-\dfrac x4+\dfrac18\cos^22x+\dfrac1{16}\sin4x

u_2=\displaystyle\frac12\int(\cos2x(\cos2x+\sin2x))\,\mathrm dx
u_2=\dfrac x4-\dfrac18\cos^22x+\dfrac1{16}\sin4x

So you end up with a solution

u_1y_1+u_2y_2=\dfrac18\cos2x-\dfrac14x\cos2x+\dfrac14x\sin2x

but since \cos2x is already accounted for in the characteristic solution, the particular solution is then

y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x

so that the general solution is

y=C_1\cos2x+C_2\sin2x-\dfrac14x\cos2x+\dfrac14x\sin2x
7 0
3 years ago
A wire 22 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter
guajiro [1.7K]
Answer:

Explanation: L = longer piece S = shorter piece

L + S = 22

L = 4 + S

S + S + 4 = 22
-4 -4
S + S = 18

S = 18/2 = 9 cm

L = 4 + S —> 4 + 9 = 13 cm

To confirm:

13 cm + 9 cm = 22 cm

Therefore, the shorter piece is 9 cm.
3 0
3 years ago
Which expression is equivalent to (9x10z2)(x5y3)
MAVERICK [17]

Answer:

9x^15y^3z^2 is your answer

Step-by-step explanation:

8 0
3 years ago
CAN SOMEONE PLEASE HELP I WILL GIVE 50 POINTS
Alex777 [14]

Answer:

What do you need help with?

Step-by-step explanation:

6 0
3 years ago
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