Scientific notation of 10 to the power of negative 9 times (2times 10 square)squared

There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 pe

maria [59]

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

$x - 19 + 17 = 63\\$ ; if x = # people at the beginning

$x - 19 + 17 = 63\\x - 2 = 63\\x = 65$

There were 65 people on the train to begin with.

6 0

3 years ago

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A survey of physicians in 1979 found that some doctors give a placebo to patients who complain of pain for which the physician c

lisov135 [29]

Below are the few reasons:

- There may have been a physical basis and yet the placebo can seem like it worked due to the patients mindset that they will get better.
<span>- Also, the doctors must not tell the patient that they will be taking a placebo. They must assure the patient that the "pill" will cure their problems.</span>

5 0

3 years ago

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equat

NeTakaya

Answer:

The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

Step-by-step explanation:

Here is the complete question

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

y=35x; y=-0.05(x-400)²+9,492

what does the solution of the system represent in this context?

Solution

The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .

So, 35x = -0.05(x-400)² + 9,492.

Expanding the right side, we have

35x = -0.05(x² - 800x + 160000) + 9492

35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492

35x = -0.05x² +40x - 8000 + 9492

35x = -0.05x² +40x + 1492

Collecting all the terms to the left side, we have

0.05x² - 40x - 1492 + 35x = 0

0.05x² - 5x -1492 = 0

Using the quadratic formula,

$x = \frac{-(-5) +/- \sqrt{(-5)^{2} - 4 X 0.05 X - 1492} }{2X0.05} = \frac{5 +/- \sqrt{25 + 298.4} }{0.1} = \frac{5 +/- \sqrt{323.4} }{0.1}\\= \frac{5 +/- 17.983 }{0.1}\\= \frac{5 - 17.983 }{0.1} or \frac{5 + 17.983 }{0.1}\\= \frac{-12.983 }{0.1} or \frac{22.983 }{0.1}\\= -129.83 or 229.83$

We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.

The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

We confirm that by plugging in x = 229.83 in both equations.

y = 35x = 35(229.83) = 8044.05 ≅ 8044.1

y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1

3 0

3 years ago

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Please help!!

sveta [45]

For this case we have the following equation:
$d = \sqrt{\frac{3h}{2}}$
Where,
d: the distance they can see in thousands
h: their eye-level height in feet
For Kaylib:
$d = \sqrt{\frac{3(48)}{2}}$
$d=\sqrt{3(24)}$
$d=\sqrt{72}$
$d=6\sqrt{2}$
For Addison:
$d = \sqrt{\frac{3(85\frac{1}{3})}{2}}$
$d = \sqrt{\frac{256}{2}}$
$d=\sqrt{128}$
$d=8\sqrt{2}$
Subtracting both distances we have:
$8\sqrt{2} - 6\sqrt{2} = 2\sqrt{2}$
Answer:
$2\sqrt{2}$
B. 2√2 mi

6 0

3 years ago

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The notation f:S→T denotes that f is a function, also called a map , defined on all of a set S and whose outputs lie in a set T

AnnyKZ [126]

Answer:

There are many. Two examples are

$f(x) = x, \\f(x) = x^3$