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Karolina [17]
3 years ago
10

A current of 2.5 A delivers 3.5 of charge

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

1 Ampere = 1 Coulomb of charge per second

2.5 A  =  2.5 C of charge per second

Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)

Time = (3.5 / 2.5) (C / C-sec)

Time = 1.4 sec

A current of 2.5 A delivers 3.5 C of charge <em>in 1.4 seconds.</em>

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Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 3)^5
Rudiy27
I used bionomial expansion up to and including the term x^{3}

(-3 + x)^{5}

-3^{5} (1 +  -\frac{1}{3}x)  ^{5}

-243 (1 +  -\frac{1}{3}x)  ^{5}

n = 5
x = - \frac{1}{3}x


Binomial expansion:

1 + nx +  \frac{n(n-1) x^{2} }{2!} + \frac{n(n-1)(n-2) x^{3} }{3!}


Therefore:

1 + (5*-  \frac{1}{3}x) +  \frac{5(4) (- \frac{1}{3}x)^{2}  }{2} + \frac{5(4)(3) (- \frac{1}{3}x)^{3}  }{6}

=

1 -  \frac{5}{3} x +  \frac{10}{9} x^{2} -  \frac{10}{27}  x^{3} &#10;&#10;

Multiply by -243

=

-243 + 405x - 270x^{2} +  90  x^{3} &#10;
3 0
3 years ago
Read 2 more answers
Miranda has 19 pieces of candy. She wants to give an equal number of pieces to her 6 friends. How many pieces of candy will each
yan [13]

Answer:

3 1/6

Step-by-step explanation:

19/6= 3.1666666666666 also known as 3 1/6

check your work by multiplying 3 1/6 by 6 and get 19

3 0
4 years ago
The formula for the volume of a cone is V =
Olegator [25]

Answer:

oh thats easy thats 7

Step-by-step explanation:

i guess

5 0
3 years ago
Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t
Paha777 [63]

Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

z = (x - u)/s

Where

x = ticket sales from monday

u = mean amount of ticket

s = standard deviation

From the information given,

u = 500 tickets

s = 50 tickets

We want to find the probability that the mean will be greater than 510. It is expressed as

P(x greater than 510) = 1 - P(x lesser than or equal to 510)

For x = 510

z = (510 - 500)/50 = 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

7 0
3 years ago
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Car A travels at an average speed of 45 miles per hour. Car B travels at an average speed of 40 miles per hour. In the time it t
attashe74 [19]
Setup
45t = 40t + 60
5t = 60
t = 12

car A = 45 * 12 = 540 mi
car B = 40 * 12 = 480 mi
5 0
3 years ago
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