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3 years ago

{y = 308x y = 122x + 2,338 Solve the linear equation

Mathematics

1 answer:

Katen [24]3 years ago

4 0

Answer:

Step-by-step explanation:

So if y=308x then we have to use the substitution method.

y=308x

y=122x+2338

so y=308x=122x+2338

308x-122x=186x

186x=2338

do the division and thats your answer. which is what y equals

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According to one theory of learning, the number of items, w(t), that a person can learn after t hours of instruction is given by

Juli2301 [7.4K]

Answer:

The rate of study is 5 items per hour.

Step-by-step explanation:

Number of items a person can learn after t hours of instruction, w(t) is given by:

$w(t)=15\sqrt[3]{t^{2}}$

We want to determine the rate of learning at any time t. The rate is the derivative of w(t) with respect to time.

$\frac{dw(t)}{dt} =\frac{d}{dt} 15\sqrt[3]{t^{2}}$

$\frac{dw(t)}{dt} =15\frac{d}{dt} {t^{2/3}}$

$\frac{dw(t)}{dt} =15X\frac{2}{3} {t^{2/3-1}}$

$\frac{dw(t)}{dt} =10 {t^{-\frac{1}{3} }}=\frac{10}{t^\frac{1}{3}}$

Therefore, the rate of learning at any time t

$\frac{dw(t)}{dt} =\frac{10}{t^\frac{1}{3}}$

At the end of 8 hours, t=8

$\frac{dw(t)}{dt} =\frac{10}{8^\frac{1}{3}}$

$\frac{dw(t)}{dt} =\frac{10}{2}$ =5

The rate of study is 5 items per hour.

4 0

2 years ago

Melissa went to staples and bought a book for $5 and four erasers. write an equation to represent the amount of money in spent o

alukav5142 [94]

5 x $1 = $5
Hope this helps.

5 0

2 years ago

Evaluate.<br>(5 • 8 – 12)(36 ÷ 9 • 4)

Olenka [21]

(5 x 8 - 12)(36 : 9 x 4)
= (40 - 12)(4 x 4)
= 28 x 16
= 448

6 0

2 years ago

(-1) X (+5) = ? what is the answer n the steps

Lostsunrise [7]

Answer:

-5

Step-by-step explanation:

(+5) × (-1) can also be written as (-1) + (-1) + (-1) +(-1) +(-1) which is -5

6 0

2 years ago

Read 2 more answers

Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find

liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that $\mu = 56n$ , in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that $n = \frac{1}{4}$ . So

$\mu = 56n = \frac{56}{4} = 14$

The variance is also 14, which means that the standard deviation is $\sqrt{14} = 3.74$

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

4 0

2 years ago