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3 years ago

Consider the equation x^2=36 which of the following statements below are true

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

6 to the power of 2 equals 6

It would look like 6*6

Gwar [14]3 years ago

7 0

Something squared is itself multiplied twice. So what number multiplied by itself is 36? (6)(6)=36 therefore x=6

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A family of 17 are trying to get back to their island for Christmas when disaster strikes – their ship hits a rock and will sink

wlad13 [49]

Answer: 13

Althoug each round trip takes 9 minutes and can carry 5 people on the boat, you can not just divide the 20 minutes time by 9 and multiply by 5 to find the number of people that are saved without getting wet.

First trip:

5 people take the boat to the island but only 4 can stay, because one has to return with the boat to the ship to rescue other 4 people.

So, when 9 minutes have passed, 4 people are safe on the island and the boat is again by the ship.

Second trip:

In the second trip, other 4 people are rescued,along with "sailor" who returned in the boat to rescue them.

When it has passed 18 minutes, the boat is next to the ship agin to carry other 4 people before the boat sinks.

This is the last trip before the boat sinks. So, the total number of passengers rescued is 4 + 4 + 5 = 13

8 0

3 years ago

Read 2 more answers

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

Again differentiation V(x), with respect to x, we get,

$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

3 years ago

.). What is the probability of flipping a coin and having

nekit [7.7K]

Answer:

its 50%,1/2,0.5

Step-by-step explanation:

3 0

2 years ago

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How do I solve this 2 step equationn?<br> y/6 - 7 = 4

romanna [79]

Answer: y= 66

Step-by-step explanation: Well first you would do +7 on both sides and then it would be Y/6=4+7, then you would multiply 6 on both sides which then you would have y=24+42 which simplified it would be y=66

3 0

3 years ago

Read 2 more answers

Change 4 7/8 to an improper fraction ?

alex41 [277]

Multiply 4&8, that makes 32 then add the numerator which is 7. 32+7=39, the improper fraction is 39/8. Hope this helps. If you need more info look online

8 0

3 years ago