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Georgia [21]
2 years ago
9

The water pressure on Mustafa as he dives is increasing at a rate of 0.9920.9920, point, 992 atmospheres (\text{atm})(atm)left p

arenthesis, a, t, m, right parenthesis per meter (\text{m})(m)left parenthesis, m, right parenthesis . What is the rate of increase in water pressure in \dfrac{\text{atm}}{\text{km}} ​km ​ ​atm ​​ start fraction, a, t, m, divided by, k, m, end fraction?
Mathematics
2 answers:
Paha777 [63]2 years ago
8 0
This problem is a simple dimensional analysis. We are simply tasked to express the rate 0.992 atm/m to atm/km.

Dimensional analysis, in simpler terms, is just the process of expressing an answer in another unit by multiplying conversion factors.

For this problem, we'll need to perform the following:

\frac{0.992 atm}{m}= \frac{1000m}{1km} = \frac{992atm}{km}

Notice that we used the conversion factor 1000 meters = 1 kilometer to convert the units from atm/m to atm/km. Thus, we arrive at the final answer 992 atm/km.
RUDIKE [14]2 years ago
8 0

to shorten up the answer it is 992 atm/km

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Paul opened a bakery. The net value of the bakery (in
Umnica [9.8K]

Answer:

1) 2(t - 7)(t + 1)

2) $32,000

Step-by-step explanation:

v(t) = 2t² - 12t - 14

v(t) = 2(t² - 6t - 7) = 2(t - 7)(t + 1)

x = -b/2a = 6/2 = 3

y = 2(3)² - 12(3) - 14 = -32

(3, -32) means at 3 months, -32 thousand dollars

7 0
2 years ago
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Ying Zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. What was his average spee
PSYCHO15rus [73]

Answer:

Average speed is (total distance)/(total time).

To find the total time we need to do some division.

Time for 200 miles=200/50=4 hours.

Time for 100=100/40=5/2 hours.

Total time=13/2 hours. Total distance=200+100=300 miles.

Av speed=300/(13/2)=300×2/13=600/13=46.15 mph approx.

5 0
2 years ago
How is the graph of the parent function of y = 3√x transformed to produce the graph y = 3√1/2x? It is horizontally stretched by
inna [77]

The graph of the parent function is horizontally stretched by a factor of \frac{1}{2} ⇒ 1st answer

Step-by-step explanation:

Let us revise some transformation

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis  

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
  • If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis

A vertical stretching is the stretching of the graph away from the

x-axis  

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.  

  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
  • If k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

∵  y=3\sqrt{x} is a parent function

∵ Its graph transformed to produce the graph of y=3\sqrt{\frac{1}{2} x}

- That means x is multiplied by a factor k, then it is compressed

   or stretched horizontally

∵ k = \frac{1}{2}

- The factor \frac{1}{2} is between 0 and 1, then it is

   stretched horizontally as the second rule above

∴ The graph of the parent function is stretched horizontally by a

   factor of \frac{1}{2}

The graph of the parent function is horizontally stretched by a factor of \frac{1}{2}

Look to the attached figure for more understand

Learn more:

You can learn more about transformation in brainly.com/question/9381523

#LearnwithBrainly

4 0
2 years ago
The population of Champaign, Illinois is given for three years in the table below:
Crazy boy [7]

Answer:

See below

Step-by-step explanation:

a) <u>Using the first two lines to get the equation:</u>

Since t = 0 represents a start point, the y-intercept is 163488

<u>Slope is:</u>

  • (168392 - 163488)/10 = 490.4

<u>And the equation:</u>

  • P(t) = 490.4(t - 1970) + 163488

b) Prediction of the population in 2012 using the function:

  • P(2012) = 490.4(2012 - 1970) + 163488 = 184084.8

As we see the number we got is less than the one on the line 3 of the table. So the model underestimated the actual population.

4 0
1 year ago
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne
Oksanka [162]

Answer:

The perimeter is (8\sqrt{2}+2\sqrt{10})\ units

Step-by-step explanation:

we know that

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal

so

In this problem

PS=QR ----> equation A

SR=PQ ----> equation B

The perimeter of parallelogram PQRS is

P=PQ+QR+SR+PS ----> equation C

substitute equation A and equation B in equation C

P=2SR+2QR

we have

QR=\sqrt{10}\ units

SR=4\sqrt{2}\ units

substitute in the formula of perimeter

P=2(4\sqrt{2})+2(\sqrt{10})

P=(8\sqrt{2}+2\sqrt{10})\ units

7 0
2 years ago
Read 2 more answers
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