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2 years ago

MATHEMATICS! PLS HELP ME

Mathematics

2 answers:

ICE Princess25 [194]2 years ago

8 0

Answer:

simplify

1. 7 2.9

1. 5 2.6

1. 27 2.-16

simplify the following

1. 3√6x

2. 2x^3 y^4 √6xy

3. 2m√7mn

4. a^5√13a

5. 2x^3 yz √5xy

perform the indicted operation

1. 8√5

2. 6√2x

3. 6√2

4. xy^3√xy+x^2 y^7 √xy

5. 2x√2x+4x^2 √2x

mars1129 [50]2 years ago

5 0

This hard lol gn

7373)3)272!2!2&2&!;!;$:$&/&2&2&2&2&2$$2$/$/$/

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A box contains 9 green balls, 16 red balls, 9 white balls, and 6 pink balls. What is the probability of drawing a pink ball out

Viefleur [7K]

This is an example of "classical probability". Whenever the probability of all events is the same, then the probability is calculated by dividing the number of "favorable events" of total events.

For this problem, the total number of events is the total number of balls, it is 40. The number of favorable events it the number of pink balls, it is 6.

So, the answer is 6/40, which can be written as 3/20.

6 0

3 years ago

You are creating an open top box with a piece of cardboard that is 16 x 30“. What size of square should be cut out of each corne

Arada [10]

Answer:

$\frac{10}{3} \ inches$ of square should be cut out of each corner to create a box with the largest volume.

Step-by-step explanation:

Given: Dimension of cardboard= 16 x 30“.

As per the dimension given, we know Lenght is 30 inches and width is 16 inches. Also the cardboard has 4 corners which should be cut out.

Lets assume the cut out size of each corner be "x".

∴ Size of cardboard after 4 corner will be cut out is:

Length (l)= $30-2x$

Width (w)= $16-2x$

Height (h)= $x$

Now, finding the volume of box after 4 corner been cut out.

Formula; Volume (v)= $l\times w\times h$

Volume(v)= $(30-2x)\times (16-2x)\times x$

Using distributive property of multiplication

⇒ Volume(v)= $4x^{3} -92x^{2} +480x$

Next using differentiative method to find box largest volume, we will have $\frac{dv}{dx}= 0$

$\frac{d (4x^{3} -92x^{2} +480x)}{dx} = \frac{dv}{dx}$

Differentiating the value

⇒ $\frac{dv}{dx} = 12x^{2} -184x+480$

taking out 12 as common in the equation and subtituting the value.

⇒ $0= 12(x^{2} -\frac{46x}{3} +40)$

solving quadratic equation inside the parenthesis.

⇒ $12(x^{2} -12x-\frac{10x}{x} +40)$ =0

Dividing 12 on both side

⇒ $[x(x-12)-\frac{10}{3} (x-12)]$ = 0

We can again take common as (x-12).

⇒ $x(x-12)[x-\frac{10}{3} ]$ =0

∴ $(x-\frac{10}{3} ) (x-12)= 0$

We have two value for x, which is $12 and \frac{10}{3}$

12 is invalid as, w= $(16-2x)= 16-2\times 12$

∴ 24 inches can not be cut out of 16 inches width.

Hence, the cut out size from cardboard is $\frac{10}{3}\ inches$

Now, subtituting the value of x to find volume of the box.

Volume(v)= $(30-2x)\times (16-2x)\times x$

⇒ Volume(v)= $(30-2\times \frac{10}{3} )\times (16-2\times \frac{10}{3})\times \frac{10}{3}$

⇒ Volume(v)= $(30-\frac{20}{3} ) (16-\frac{20}{3}) (\frac{10}{3} )$

∴ Volume(v)= 725.93 inches³

6 0

3 years ago

A car travels 32 miles for each gallon of gas.How many gallons of gas does it need to travel 192 miles

ladessa [460]

6 gallons. 192 divided by 32 is 6!

5 0

3 years ago

What is 14 feet in inches

Finger [1]

14 feet is 168 inches. To get this, I knew that there were 12 inches in one foot. If there are 14 feet, you will have to multiply 14 by 12. The answer, therefore, is 168 inches!

I hoped this helped you!

6 0

3 years ago

What is

san4es73 [151]

Specify, what are you needing?

4 0

3 years ago