Can you check to see if tese are right? 1 What is 0.68 written as a simplified fraction? 68/100 17/25 100/68 34/25 2 Mrs. Whimsey’s class is having a pizza party. If there are 16 students and 4 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza each student receives?one-third one-sixteenth one-fourth one-eighth 4. Based upon the 2010 census data, the total population of the U.S. is 308,745,538 people. Approximately, what is this population in scientific notation?
3.1 x 10^8 3.1 x 10^7 3.1 x 10^–8 31 x 10^7 5. What is the solution to (4 x 10^3) x (6 x 10^6), written in scientific notation?
24 x 10^9 2.4 x 10^9 24 x 10^18 2.4 x 10^10 8 What is 0.00000512 in scientific notation? 5.12 x 106 512 x 105 5.12 x 10–6 512 x 10–5 9 What is thirty-one over five written as a decimal? 1.6 6.1 6.2 6.5 My answers are: 1. 17/25 2. 1/8 4. 3.1 x 10^8 5. 2.4 x 10^9 8. 5.12 x 10^6 9. 6.1

Answers

Answer 1
Answer: 1. 0.68 is equal to 68/100 but this can be simplified further to 17/25
2. There are 8 slices and 16 students, the fraction is 8/16 or 1/2
3. (4 x 10^3) x (6 x 10^6) = 2.4 x 10^10
4. 
308,745,538 in scientific notation is 3.1 x 10^9
31/5 is 6.2

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On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12). Write the equation of the function whose graph is shown. y = (x + )2 +.
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Write 9.55 as a mixed number

If f(–5) = 0, what are all the factors of the function f(x) = x^3 - 19x + 30. Use the Remainder TheoremA (x – 2)(x + 5)(x – 3)
B (x + 2)(x – 5)(x + 3)
C (x – 2)(x + 5)
D (x + 2)(x – 5

Answers

If f(-5)=0, then x+5 is first factor of given polynomial.

1. Divide polynomial x^3 - 19x + 30 by x+5:

x^3 - 19x + 30=(x+5)(x^2-5x+6).

2. Factor the trinomial x^2-5x+6:

.

3. Then

x^3 - 19x + 30=(x+5)(x-2)(x-3).

Answer: correct choice is A.

The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).

Option A is the correct answer.

We have,

To determine the factors of the function f(x) = x³ - 19x + 30 using the RemainderTheorem, we need to find the values of x that make the function equal to zero.

Given that f(-5) = 0, we know that (x + 5) is a factor of the function.

Using syntheticdivision, we can divide f(x) by (x + 5):

     -5 |   1    0   -19   30

         |       -5    25  -30

      -----------------------

          1   -5     6    0

The result is a remainder of zero, indicating that (x + 5) is a factor.

Now we need to factorize the remaining quadratic expression:

1x² - 5x + 6.

This quadraticexpression factors as (x - 2)(x - 3).

Therefore,

The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).

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A farmer hauled in 120 bales of hay. Each of his cows ate 1 1/4 bales. How many cows the farmer feed?

Answers

120 ÷ 5/4 = 120 ÷ 1,25 = 96 cows
=============================


120 / 1.25 = 96
96 cows

18A person typically breathes about 8.64 x 10^3 liters of air per day. The life expectancy of
a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.

Answers

Answer:

  2.53×10^8 liters

Step-by-step explanation:

  (8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

Final answer:

The total amount of air a person born in the United States breathes over a lifetime is estimated to be 2.52 x 10^8 liters. This is calculated by multiplying the daily air intake (8.64 x 10^3 liters) with the average life expectancy in days (29,200 days).

Explanation:

To estimate the total amount of air a person born in the United States breathes over a lifetime, we can simply multiply the amount of air breathed daily by the expected length of life in days. Here's how it works:

  1. The given daily air intake is 8.64 x 10^3 liters.
  2. The average life expectancy is 29,200 days.
  3. We multiply these two values together to get the total lifetime air intake.

So, 8.64 x 10^3 liters/day x 29,200 days = 2.52 x 10^8 liters.

Therefore, a person born in the United States breathes an estimated 2.52 x 10^8 liters of air over a lifetime.

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WRITE 0,000003 56 IN SCIENTIFIC NOTATION ​

Answers

Answer:

3.56X10^-6

Step-by-step explanation:

In converting numbers to scientific notation, simply move the decimal point of the number until the numerical coefficient is greater than 1 but less than 10. Be sure to take note of the following:

1. The numerical coefficient.

2. Number of times we move the decimal point. It will be the exponent with the base of 10.

3. The direction we take in moving the decimal point. If the direction is to the right, take the negative sign for the exponent. If the direction is to the left, take the positive sign for the exponent.

Here, we move the decimal point of 0.00000356 to the right 6 times. So, we have now 3.56X10^-6.

The catcher is trying to throw out a base runner trying to steal second base. If the distance between bases is 90 feet , approximately how far is the catcher's throw? (Round to the nearest whole number) See attachment below.

Thank you!!

Answers

I have a slight problem going into this question: I don't know much
about baseball.

I know it's called a baseball "diamond", but is it really a square ?
I mean is the distance from Home to 2nd base the same as the
distance between 1st and 3rd base ?

You know what ?  If it's not a square, then we don't have enough
information to solve this problem.  But since they gave it to you to
solve, with just that much information, I guess it must be square.
OK.  The baseball diamond is actually a square ... at least THIS
one is.

That means there's a right angle at each base.

Great !
Get your scissors and carefully cut the baseball diamond in half,
along the line from Home to 2nd base.  Then throw away one half.

Now what do you hold in your hand ?

It's a right triangle.  The legs are the two 90-ft base lines, the right angle
is at that base, and the hypotenuse is the line from Home to 2nd base ...
exactly the distance the catcher has to throw to Second.

Can you find the length of the hypotenuse when the legs are both 90 ft ?

Remember the hypotenuse is

     the square root of (one leg squared plus the other leg squared).

You can finish it off from here.  Take it, Braydon !

Determine the rate at which Philip traveled during the second part of his trip.Philip drives for 4 hours at a rate of 50 miles per hour. Later, he drives for another 3 hours so that his total distance traveled for the day is 365 miles.
What is the solution set for 4(50) + 3r = 365 given the replacement set {52, 53, 54, 55}?

A.
52

B.
53

C.
54

D.
55

Answers

the replacement set is d. 55

Answer:

55...

Step-by-step explanation:

I just took the test...

Sorry for answering super late....