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Aleonysh [2.5K]
3 years ago
7

Select the correct answer.

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

Step-by-step explanation:

If you mean √200, you cannot write it as V200.

√200 = √(10²×2) = 10√2

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A box is formed by cutting squares from the four corners of a 9"-wide by 12"-long sheet of paper and folding up the sides.
koban [17]

Answer:

V(x) = 4x^3-42x^2  +108x

Step-by-step explanation:

We are given the following in the question:

Width of sheet = 9 inches

Length of sheet = 12 inches

A square of length x inches is cut from each corner of the sheet to form a box.

Thus, the dimension of the box formed is:

Height = x inches

Width =

9 - x-x = (9-2x)\text{ inches}

Length =

12 - x-x = (12-2x)\text{ inches}

Volume of box formed =

\text{Length}\times \text{Width}\times \text{Height}

Putting values, we get,

V(x) = (12-2x)(9-2x)x\\V(x) = (12-2x)(9x-2x^2)\\V(x) = 108x-24x^2-18x^2+4x^3\\V(x) = 4x^3-42x^2  +108x

is the required expression of volume of box in terms of x.

8 0
3 years ago
Para ir a visitar a los abuelos Paula y Mario se ponen de acuerdo en que Paula vaya cada 5 días y Mario cada 6 días. Si coincidi
photoshop1234 [79]

Answer:

a) January 24(24 de Enero)

b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Paula each 5 days

Mario each 6 days

Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}

Multiples of 6: {0, 6, 12, 18, 24, 30, ...}

a) ¿Cuándo volvieron a coincidir?

lcm(5,6) = 30

30 days from December 24, which is January 24(24 de Enero).

b) ¿Cuántas visitas habrá hecho cada uno?

Paula visits each 5 days.

30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.

30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.

4 0
4 years ago
The sum of three numbers is 24. If two numbers are 16 and 22, what is the third?
snow_tiger [21]

Answer:

X=-14

Step-by-step explanation:

16+22+x=24

38+x=24

x=24-38

x=-14

4 0
2 years ago
Can someone solve this?
lisabon 2012 [21]

Answer:

x = 8

Step-by-step explanation:

5x - 7 = x + 25

-x       -x

4x - 7 = 25

+7    +7

4x = 32

/4      /4

x = 8

5 0
3 years ago
What are the critical points of the function <br>f(t)=8t^3-t^2
Harlamova29_29 [7]

Answer:

The Critical points are (0,0), (1/12,-1/432) I hope this works out for you


Step-by-step explanation:


4 0
3 years ago
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