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rjkz [21]
3 years ago
15

Kevin collects rain water in a container shaped like a rectangular prism. After a thunderstorm, he notices the container is two-

thirds of the way full. How much rain water is in the container?
Mathematics
1 answer:
scoray [572]3 years ago
8 0

Answer:

Step-by-step explanation:

You might be interested in
Rewrite the expression using distributive property : 30x + 6
Anit [1.1K]

Answer:

This cannot be done, but it can be factored as: 6(5x + 1)

Step-by-step explanation:

This expression cannot be distributed any further.

The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .

5(x + 2)  =  5x + 10

We can factor this expression however to go the opposite direction:

30x + 6

Since 30 and 6 are both divisible by 6, we can factor it out of each term.

Divide 30x by 6 and divide 6 by 6.

6(5x + 1)

6 0
3 years ago
Use four rectangles to estimate the area between the graph of the function f(x) = V3x + 5 and the x-axis on the interval[0, 4] u
yuradex [85]

Answer:

  12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

<h3>Riemann sum</h3>

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

  f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

  area ≈ 12.123 . . . square units

__

<em>Additional comment</em>

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

7 0
1 year ago
5 pts
ruslelena [56]

Answer:

{8, 24, 72, 216, 648}

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.

In this question:

First element is 8, common ratio of 3. So

Second term: 8*3 = 24

Third term: 24*3 = 72

Fourth term: 72*3 = 216

Fifth term: 216*3 = 648

So the answer is {8, 24, 72, 216, 648}

4 0
3 years ago
Someone help please
ratelena [41]

Answer:

77

Step-by-step explanation:

HAV A GREAT DAY hope this helps

4 0
3 years ago
three roommates Ava, Ben, and Cora went grocery shopping online. Ava spent three times as much Ben and half as much Cora. If tog
Mamont248 [21]

Answer:

Cora's spend will be = $ 16.66

Step-by-step explanation:

Let y be the amount Ben spent

As Ava spent three times Ben will be 3y and half as much Cora(2y)

so the equation becomes

y + 2y + 3y = 50

6y = 50

y = 50/6

y = 8.33

So Cora's spend will be : 2y = 2(8.33) = 16.66 units currency

Note: if currency is in $

Then Cora's spend will be = $ 16.66

8 0
3 years ago
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