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Lunna [17]
3 years ago
11

Suppose you are the diving officer on a submarine conducting diving operations. As you conduct your operations, you realize that

you can relate the submarine’s changes in depth over time to some linear equations. The submarine descends at different rates over different time intervals.
Part A
The depth of the submarine is 50 ft below sea level when it starts to descend at a rate of 10.5 ft/s. It dives at that rate for 5 s. What are the constraints on the x- and y-values?

Part B
Choose a tool and graph the segment showing the depth of the submarine from 0 s to 5 s. Be sure the graph has the correct axes, labels, and scale.
Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

If you need additional resources to support virtual learning, please ... 9) I can solve problems involving a system of linear inequalities. ... of the submarine is 50 ft below sea level when it starts to descend ... ft/s. It dives at that rate for 5 s. ... After the initial 5-second descent, the submarine increases its rate of ...

Step-by-step explanation:

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A quadratic function is defined by g(x) = (x + 4)2 +7.
Travka [436]

Step-by-step explanation:

The vertex is the point (-4, 7).

4 0
2 years ago
Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob
miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

P(x)=^nC_x p^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}

=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6

=0.279266611163

\approx 0.28

=28\%

7 0
3 years ago
Elizabeth bought a cheese pizza. It was served on a metal tray with a diameter of 22 centimeters. What is the tray's area?
agasfer [191]
<h3>Answer:</h3>

The Area of the tray ≈380 cm

<h3>Solution:</h3>
  • We are given the diameter of the tray, which is equivalent to 22 cm.
  • We are asked to find the area of the tray.
  • Remember the formula:
  • Area of a circle = πr²
  • Where
  • π -> pi (3.14...)
  • r -> radius
  • Notice that we aren't given the radius. We're given the diameter only.
  • No reason to panic. We can easily find the radius by dividing the diameter by 2.
  • The radius is equal to 11 cm.
  • Now, plug the values into the formula:
  • A=π(11)²
  • A=121π
  • A≈380 cm

Hope it helps.

Do comment if you have any query.

4 0
2 years ago
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