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3 years ago

Gabriel has 268 miniture trains.he lines them up in 2 equal rows. how many trains are in each row

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

Answer:

134

Step-by-step explanation:

268/2=134

since its equal both rows should have the same number.

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Select all the true statements

Dennis_Churaev [7]

Answer:

option no (C) is correct

Step-by-step explanation:

4 0

3 years ago

Please evaluate the expression below. Select the answer with BOTH correct answers (the product in standard form and the product

o-na [289]

Answer:

Standard form = 606000

Scientific notation = 6.06*10^5

Step-by-step explanation:

Given the expression

(8.08×106)×(7.5×10−2)

This can also be expressed as;

(8.08*7.5) * (10^6*10^-2)

= 60.6*10^4

= 606000

express in scientific form;

606000

= 60.6*10^4

= 6.06*10^1*10^4

= 6.06 * 10^5

4 0

3 years ago

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0

4 years ago

If 3x + 7 = 14, then x =

Jlenok [28]

Answer:

x = 7/3

Step-by-step explanation:

3x + 7 = 14

Subtract 7 from both sides.

3x = 7

Divide both sides by 3.

x = 7/3

4 0

4 years ago

Read 2 more answers

What goes in the space? (3x − ...)2 = 9x2−6x+1<br> I will give points and brainliest!

Crazy boy [7]

${(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}$

$(3x - ...)^{2} = 9 {x}^{2} - 6x + 1 \\ {(3x - 1)}^{2} = 9 {x}^{2} -6x + 1$

6 0

4 years ago