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harina [27]
3 years ago
7

The graph represents the atmospheric pressure in pounds per square inch as a function of altitude in mi above the sea level. Whi

ch statements accurately reflect this relationship? Select each correct answer.
The atmospheric pressure is lower at 15 miles above sea level than at 10 miles above sea level.

As the altitude increases, the atmospheric pressure increases.

The atmospheric pressure is 14 pounds per square inch at sea level.

As the altitude approaches sea level, the atmospheric pressure increases.

The atmospheric pressure gets close to 14 pounds per square foot as the altitude continues to increase.

Mathematics
2 answers:
QveST [7]3 years ago
8 0

Answer: The atmospheric pressure is lower at 15 miles above sea level than at 10 miles above sea level.

The atmospheric pressure is 14 pounds per square inch at sea level.

As the altitude approaches sea level, the atmospheric pressure increases.

Step-by-step explanation:

Atmospheric pressure at sea level = 14 pounds per square inch

Atmospheric pressure at 10 miles above sea level= 2 pounds per square inch

Atmospheric pressure at 15 miles above sea level= 1 pounds per square inch

The atmospheric pressure decreases as the altitude increases above sea level.

The atmospheric pressure increases as we move towards the sea level.

Maksim231197 [3]3 years ago
3 0

Let's analyze each answer:


The atmospheric pressure is lower at 15 miles above sea level than at 10 miles above sea level.  --> true

In fact, we see that the pressure at 15 miles above sea level is less than 1 pound per square inch, while the pressure at 10 miles above sea level is almost 2 pound per square inch.


As the altitude increases, the atmospheric pressure increases.  --> false

It's actually the opposite: from the graph, we see that as the altitude increases (going towards right on the graph), the pressure decreases.

The atmospheric pressure is 14 pounds per square inch at sea level.  --> true

If we take altitude=0, we see that the value of the pressure is 14 pounds per square inch.

As the altitude approaches sea level, the atmospheric pressure increases.  --> true

As the altitude approaches sea level (so, going towards left in the graph), we see that the value of the pressure increases.

The atmospheric pressure gets close to 14 pounds per square foot as the altitude continues to increase. --> false

The pressure is 14 pounds per square inch only when the altitude is 0 miles above sea level.

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Mrac [35]

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Answer:

  cos(θ) = (5√74)/74

Step-by-step explanation:

The length of the hypotenuse is given by the Pythagorean theorem:

  h = √(5² +7²) = √74

The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:

  cos(θ) = 5/√74 = (5√74)/74

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3 years ago
2 over 5 x= 10 solve for x show your work
Sphinxa [80]

\frac{2}{5}x= 10

We need to solve for x

To get x alone we need to remove the denominator 5

To remove denominator 5  we multiply by 5 on both sides

5*\frac{2}{5}x= 10*5

2x = 50

2x means 2 times x

2 is multiplied with x. so to remove 2 we divide by 2

\frac{2x}{2}= \frac{50}{2}

So x= 25


8 0
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Answer:

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3 years ago
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Please help! posted picture of question
morpeh [17]
Lets check each statement individually.

The horizontal line test is as follows; one checks whether any horizontal line intersects the graph of a function twice or more. If it does not, then the function is 1-1 because any value of y corresponds to at most one x-value. TRUE

A sequence of numbers is a function whose domain are the natural numbers; this has to be so since we "count" the values of the function. This is easy to see if we think of how we describe the values of a sequence: x_1, x_2, x_3. FALSE.

A relation is in general a set of pairs where one element of the pair comes from the domain and the other from the output-set. For a relation to be a function, we have that each element of the domain must have one and only one value. Also every single domain value needs to have an output value. This is equivalent to the description, so TRUE.

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4 0
3 years ago
(Algebra2 HELP please)
Savatey [412]

Maximizing profit, is a way of getting the highest possible profit, from a function.

The bakery should make 45 loaves of A and 0 loaves of B, to maximize profit

To do this, we make use of the following representations.

x represents source A, and y represents source B

So, we have:

<u>Constraint 1: </u>

A uses 5 pounds, and B uses 2 pounds of oats.

Available: 180

The above condition is represented as;

\mathbf{5x + 2y \le 180}

<u>Constraint 2: </u>

A and B use 3 pounds of flour each.

Available: 135

The above condition is represented as;

\mathbf{3x + 3y \le 135}

<u>Objective function</u>

A yields $40, while B yields $30

So, the objective function is:

\mathbf{Maximize\ Z = 40x + 30y}

So, we have:

\mathbf{Maximize\ Z = 40x + 30y}

Subject to

\mathbf{5x + 2y \le 180}

\mathbf{3x + 3y \le 135}

\mathbf{x,y \ge 0}

See attachment for the graph of the subjects

From the graph, we have the corner points to be:

\mathbf{(x,y) = \{(0,45),(30,15),(45,0)\}}

Substitute these values in the objective function

\mathbf{Z = 40(0) +30(45) = 1350}

\mathbf{Z = 40(30) +30(15) = 1650}

\mathbf{Z = 40(45) +30(0) = 1800}

The maximum value of Z is at: (45,0)

This means that: the bakery should make 45 loaves of A and 0 loaves of B, to maximize profit

Read more about maximizing functions at:

brainly.com/question/14728529

6 0
3 years ago
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