MATHEMATICS COLLEGE

A 10-ounce box of
cereal is $4.50. What
is the cost in dollars
of each ounce?

Answers

Answer 1
Answer:

Answer:

45 cents for each ounce.

Step-by-step explanation:

Take away the decimal, divide 450 by 10, and you get 45.
Answer 2
Answer: 10x = 4.5
divided 10 to both sides leaves u with 0.45.
Answer is $0.45!

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13. Mr. Smith teaches history and math classes. He has 25 students in both classes combined. He has 17 students in the math class and 15 students in the history class. Is it possible that 12 stu- dents are enrolled in both his history and his math classes?!

Answers

Answer:

  no

Step-by-step explanation:

If m, h, b represent the numbers of students in Mr. Smith's math, history, and both classes, then we have ...

  m + b = 17

  h + b = 15

  m + b + h = 25

Adding the first two equations and subtracting the third gives ...

  (m+b) +(h+b) -(m+b+h) = (17) +(15) -(25)

  b = 7 . . . . . . simplify

The number enrolled in both of Mr. Smith's classes is 7, not 12.

_____

Here, m and h represent the number of students enrolled in only one of Mr. Smith's classes, math or history, respectively.

Find the exact value of sin (pi/3 + pi)

Answers

The exact value of sin (π/3 + π)  is:  sin (4π/3) = -√3/2.

Here, we have,

To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.

First, let's simplify the angle π/3 + π:

π/3 + π = (π + 3π)/3 = 4π/3

Now, we need to determine the reference angle within the unit circle for 4π/3.

The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.

To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:

4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π

Therefore, the reference angle for 4π/3 is 2π.

Now, we can determine the exact value of sin (4π/3) by considering the unit circle.

At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.

In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.

Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.

To learn more trigonometry click:

brainly.com/question/26719838

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Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ

Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ

We must use substitution to do this second integral. We can use the substitution t = 7x, which will give dx = Correct: Your answer is correct. dt. Ignoring the constant of integration, we have sin(7x) dx =

Answers

Answer:

Therefore, the solution is:

\boxed{\int \sin 7x\, dx=-(\cos 7x)/(7)}

Step-by-step explanation:

We calculate the given integral.  We use the substitution t = 7x.

\int \sin 7x\, dx=\begin{vmatrix} 7x=t\n 7\, dx=dt\n dx=(dt)/(7) \end{vmatrix}\n\n=\int \sin t \cdot (1)/(7)\, dt\n\n=(1)/(7)\cdot (-\cos t)\n\n=-(\cos 7x)/(7)

Therefore, the solution is:

\boxed{\int \sin 7x\, dx=-(\cos 7x)/(7)}

4 lbs is greater or less than 60 ounces

Answers

Answer: 4 lbs is greater than 60 ounces

Step-by-step explanation:

4 lbs equals 64 ounces because 4x16=64.

Answer:

4 lb > 60 ounce

Step-by-step explanation:

We are comparing pounds to ounces so we need to convert pounds to ounces. We know that a pound is 16 ounces.

4 lbs * 16 ounces / lb = 64 ounces

4 lb > 60 ounce   since 64 ounces > 60 ounces

Find the mean of the binomial random variable. Round to two decimal places when necessary. According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16. Group of answer choices 2.75 4 3.52 0.22

Answers

Answer:

3.52

Step-by-step explanation:

Calculation to Find the mean for the random variable X

Using this formula

Mean(μ) =(n*p)

Where,

n=16

p=22% or 0.22

Let plug in the formula

Mean(μ)=16×0.22

Mean(μ)=3.52

Therefore the mean for the random variable X will be 3.52

How is this number read out loud 0.034

Answers

Answer:

0.034

Step-by-step explanation:

thirty-four thousandths

or

zero point zero three four
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