scuba diver is swimming 30 feet below sea level . A hand glider passes over the position of the scuba diver. The hand glider is 215 ft above sea level.
draw a number line to represent the distance between the scuba diver and the hand glider (include sea level at zero feet)
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Related Questions
A high rise building has a sink on the fourth floor located 2-feet above the floor. Each floor is 10-feet above the other. Calculate the psi at the sink where when the street pressure is 80 psi. The building does not have a pressure reducing device due to fire codes.
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P = 80 psi + ΔP
where
ΔP = ρgh
ρ is the density of water equal to 62.4 lbm/ft³
ΔP = (62.4 lbm/ft³)(1 lbf/lbm)(4*10 + 2 ft)(1 ft/12 in)² = 18.2 psi
Thus,
P = 80 + 18.2
P = 98.2 psi
simplify 12 divided (2+4)
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This can also be represented as 12/(2+4).
12/(2 + 4)
12/6
2
The answer is 2.
Answer: +2
Step-by-step explanation: When you're doing a problem like [tex]\frac{12}{2 + 4}[/tex], it's important to understand that a division bar has the same effect on a problem as a set of parentheses in that it groups terms together.
So this 2 + 4 can be thought of as being inside a set of parentheses just like it is in the original problem. Remember from your order of operations that before you do anything else, you must simplify what's inside the set of parentheses.
So the first thing we do here is add 2 + 4 to get 6 and this problem simplifies to [tex]\frac{12}{6}[/tex]. Now we can divide 12 by 6 which gives us +2.
Penny has 25 dimes. She likes to arrange them into three piles, putting an odd number of dimes into each pile. In how many ways would she do this?
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Penny can arrange the 25 dimes into three piles in 6 different ways.
Explanation:Penny has 25 dimes and wants to arrange them into three piles, with an odd number of dimes in each pile. In order to do this, let's consider the possible combinations:
Possible combinations:
1. Pile A: 1 dime, Pile B: 1 dime, Pile C: 23 dimes
2. Pile A: 1 dime, Pile B: 3 dimes, Pile C: 21 dimes
3. Pile A: 1 dime, Pile B: 5 dimes, Pile C: 19 dimes
4. Pile A: 1 dime, Pile B: 7 dimes, Pile C: 17 dimes
5. Pile A: 1 dime, Pile B: 9 dimes, Pile C: 15 dimes
6. Pile A: 1 dime, Pile B: 11 dimes, Pile C: 13 dimes
Therefore, Penny can arrange the dimes into three piles in 6 different ways.
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the shop has 1260 ounces of cranberry juice and 650 ounces of passion fruit juice.ifvthe juices are used to make crazy cranberry smoothies, which juice will run out first?how much of the other juice will be left over?
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Each smoothie requires 20 ounces of cranberry juice and 10 ounces of passion fruit.
There are 1260 ounces of cranberry juice.
There are 650 ounces of passion fruit juice.
For the maximum servings of the smoothie, let
x = the number of 20-ounce cranberry juice used,
y = the number of 10-ounce passion fruit juice used.
The cranberry juice runs out when
20x = 1260
x = 63 servings
The passion fruit juice runs out when
10y = 650
y = 65 servings
Because x reaches, the cranberry juice runs out first after 63 servings of the smoothie.
There will be two 10-ounces = 20 ounces of the passion fruit left.
Answer:
(a) The cranberry juice runs our first.
(b) There will be 20 ounces of the passion fruit left over.
Donna buys candy that costs $5 per pound. She will spend less than $30 on candy. What are the possible numbers of pounds she will buy?
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x = number of pounds
5x<30
x<30/5
so she can buy X<6 pounds
Answer:
The possible numbers of pounds she will buy is less than 6.
Step-by-step explanation:
Given : Donna buys candy that costs $5 per pound. She will spend less than $30 on candy.
To find : What are the possible numbers of pounds she will buy?
Solution :
Let x be the number of pounds.
Donna buys candy that costs $5 per pound.
i.e. cost of x candy is $5x.
She will spend less than $30 on candy.
i.e. [tex]5x<30[/tex]
Solve the inequality,
[tex]x<\frac{30}{5}[/tex]
[tex]x<6[/tex]
The possible numbers of pounds she will buy is less than 6.
If angle X has a measure of 40 degrees and angle Y is vertical to angle X what is the measure of angle Y?
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which choice correctly expresses the number below in scientific notation
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figure ABCD is a rectangle with point A (-2, 5). What rule would rotate the figure 90 degree clockwise?
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Point A:(-2,5)-->(5,2)
Let x denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. suppose that for banner-tailed kangaroo rats, x has an exponential distribution with parameter λ = 0.01382. (a) what is the probability that the distance is at most 100 m? at most 200 m? between 100 and 200 m? (round your answers to four decimal places.)
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To solve this problem, we have to use the formula:
P = 1 - e^(-λx)
where λ = 0.01382, and x is the distance
A. when x = 100
(P < or equal to 100) = 1 - e^(-0.01382 * 100)
(P < or equal to 100) = 0.75
B. when x = 200
(P < or equal to 200) = 1 - e^(-0.01382 * 200)
(P < or equal to 200) = 0.94
C. when 100 < x < 200
P (100 < x < 200) = P ((x < 100) + P(x > 200))
P (100 < x < 200) = 0.75 + (1 – 0.94)
P (100 < x < 200) = 0.81
Final answer:
The probabilities for a banner-tailed kangaroo rat to move at most 100 m, at most 200 m, and between 100 and 200 m are 0.7487, 0.9389, and 0.1903 respectively, when rounded to four decimal places.
Explanation:
The question deals with exponential distribution, which is a type of continuous probability distribution often used to model the time or space between events in a Poisson process. Given that the parameter λ (lambda) for the banner-tailed kangaroo rats is 0.01382, the mean (μ) can be calculated as the reciprocal of λ, so μ = 1/λ. In this case, μ = 1/0.01382. The cumulative distribution function (CDF) for an exponential distribution is [tex]P(X \leq x) = 1 - e^{-\lambda x}[/tex]
To find the probability that the distance is at most 100 m, we use the CDF:
[tex]P(X \leq 100) = 1 - e^{-(0.01382)(100)} = 1 - e^{-1.382} \approx 1 - 0.25132 = 0.74868[/tex]
For the distance at most 200 m:
[tex]P(X \leq 200) = 1 - e^{-(0.01382)(200)} = 1 - e^{-2.764} \approx 0.93894[/tex]
To find the probability that the distance is between 100 m and 200 m, we subtract the probability of being at most 100 m from the probability of being at most 200 m:
P(100 < X ≤ 200) = P(X ≤ 200) - P(X ≤ 100) = 0.93894 - 0.74868 = 0.19026
So, the probabilities are approximately 0.7487 for at most 100 m, 0.9389 for at most 200 m, and 0.1903 for between 100 and 200 m, when rounded to four decimal places.
Kira is saving money to buy a bike that costs $133 . She has $42 and will save an additional $7 each week. In how many weeks will she have enough money to buy the bike?
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The formula f 5280m can be used to convert a measurement of f feet to an equivalent measurement of m miles. If an airplane flies at 21,120 feet above the ground, how much is that in miles?
4 miles?
5.3 miles?
111,513,600 miles?
132,620,600 miles?
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It means that every mile has to be multiplied by 5280 to connvert into equivalen number of feet.
Now you need to find the number of miles equivalent to 21,120 feet, so solve the equation f = 5280m for m:
f = 5280m => m = f / 5280
=> m = 21120 / 5280 = 4
=> Answer: 4 miles
1. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.
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The equations we can create is based from this equation:
time = volume of pool / rate
Drain A: time = 108 gal / (2 gal / min) = 54 min
Drain B: time = 108 gal / (5 gal / min) = 21.6 min
2w-5w=27 can you tell me how to solve this to where I can understand
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27
Now equate -3w to 27 and solve for w: -3w = 27; w = ------ = -9 (answer)
-3
There is a sales tax of $6 on an item that costs $88 before tax and. The sales tax on a second item is $21. How much does the second item cost before tax
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the difference of 9 and the square of a number
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=
9 - n^2
Square EFGH has vertices: E = (-1,1), F = (-1,2), G = (-2,1), H = (-2, 2). In which quadrant will the image of vertex E' be if the square is rotated 270° clockwise about the origin O?
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thus:
(e)(f)(g)(h) = (-1,-1)(-1,-2)(-2,-1)(-2,-2)
Answer:
Quadrant III
Step-by-step explanation:
Did this lesson, just checked the answer key.
Which best describes the dimensions of a line?
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The least common multiple of two numbers is 60 and one of the numbers is 7 than the other numbers what are the numbers justify the answers
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The correct numbers are 12 and 5. This is because these two are the only numbers out of all the factors of 60 that fit this description.
I really hope my answer helped you out! c:
In 2 hours Cara read 48 pages. If she read he same number of pages each hour, how many pages did Cara read in one hour?
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Students in a class were asked to name their favorite flavor of ice cream. The results are shown in the circle graph. How many times more students prefer cookies and cream than prefer strawberry?
Cookies and Cream: 18%
Strawberry: 2%
Cookie Dough: 35%
Vanilla: 25%
Chocolate Chip: 20%
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Answer: 9 times
Step-by-step explanation:
Let the total number students be x.
Then the number of students liked cookies and cream = 18% of x= 0.18 x
The number of strawberry = 2% of x = 0.02 x
Clearly, 0.18 x> 0.02 x
The number of times more students prefer cookies and cream than prefer strawberry =[tex]=\frac{0.18x}{0.02x}=9[/tex]
Hence, The students prefer 9 times cookies and cream than prefer strawberry.
ray is 23 years older than his sister Carol. in 20 years he will be twice as old as Carol. how old is each of them now?
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r+20 = 2(c+20)
(c+23)+20 = 2(c+20)
c+43 = 2c+40
c = 3 : r = c+23 = 26
Carol is 3 years of age, and Ray is 26 years of age.
23+20=43 x 2=86
86/2=43
What does the "O" stand for in the S.T.O.P. method of refusal?
A.
Only try it once.
B.
Offer another idea.
C.
Offer a ride home.
D.
Organize a list of problems.
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O stands for Offer another idea.
Option B is the correct answer.
What are abbreviations?Abbreviations are shortened versions of words or phrases that are commonly used in written or spoken language.
They are created by taking the first letter (or sometimes multiple letters) of each word in a phrase and using them to form a shorter, more compact version of the phrase.
For example:
"ASAP" is an abbreviation for "as soon as possible" and "FYI" is an abbreviation for "for your information".
Abbreviations are often used to save time and space in writing and are common in fields such as science, medicine, and technology where complex terms and phrases are frequently used.
We have,
The "O" in the S.T.O.P. method of refusal stands for "Offer another idea."
Thus,
O stands for Offer another idea.
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A towns population went from 25.800 to 42,600 in 15 years. What was the percent increase?
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[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 42600&100\\ 25800&p \end{array}\implies \cfrac{42600}{25800}=\cfrac{100}{p}\implies p=\cfrac{25800\cdot 100}{42600}[/tex]
Find the complete factorization of the expression.
10xyz + 24xy + 6xz
A) xyz(5 + 12 + 3)
B) 2x(5zy + 12y + 3z)
C) x(10zy + 24y + 6z)
D) 2(5xzy + 12xy + 3xz)
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Answer:
B) 2x(5zy + 12y + 3z)
Step-by-step explanation:
First, all coefficient for each term are a pair number, therefor 2 is common factor for all these
[tex]10xyz + 24xy + 6xz=>2(5zxy + 12xy + 3xz )[/tex]
then, the variable X is present for each term of the funtion [tex](5zxy + 12xy + 3xz)[/tex], so, the variable X is a common factor to.
[tex]2(5zxy + 12xy + 3xz )=> 2x(5zy + 12y + 3z )[/tex]
Professor oger must choose between an extra writing assignment and an extra reading assignment for the upcoming spring break. for the writing assignment, there are two essay topics to choose from and three different mandatory lengths (30 pages, 35 pages, or 40 pages). the reading topic would consist of one scholarly biography combined with one volume of essays. there are five biographies and three volumes of essays to choose from. how many choices does she have? hint [see example 2.]
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[tex] ^2C_1 \times { ^3C_1}= 2\times3=6[/tex]
Thus, he has 20 choices to make for the writing assignment.
For the reading assignment, the number of ways of choosing from five biographies and three volumes of essays is given by:
5 x 3 = 15
Therefore, the total number of choices is given by 6 + 15 = 21 choices.
64 is 55% of what number
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For repeating decimals, if it repeats every 2 digits, like 0.363636, we have (the digits that repeat)/99
Feel free to ask any further questions!
How do you solve 7/12 ÷ 2 5/8
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[tex]\bf \stackrel{mixed}{2\frac{5}{8}}\implies \cfrac{2\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{21}{8}}\\\\ -------------------------------\\\\ \cfrac{7}{12}\div \cfrac{21}{8}\implies \cfrac{7}{12}\cdot \cfrac{8}{21}\implies \cfrac{\underline{7}}{3\cdot \underline{4}}\cdot \cfrac{2\cdot \underline{4}}{3\cdot \underline{7}}\implies \cfrac{2}{9}[/tex]
I am having difficulty solving this problem
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[tex]\bf \textit{area for this circle}\\\\ A=\pi r^2\quad \begin{cases} diameter=36\\ r=radius=\frac{diameter}{2}\\ r=18 \end{cases}\implies A=\pi 18^2\implies A=324\pi \\\\\\ A\approx \stackrel{inches}{1017.876019763}[/tex]
A poll conducted in 2013 found that 52% of u.s. adult twitter users get at least some news on twitter.40. the standard error for this estimate was 2.4%, and a normal distribution may be used to model the sample proportion. construct a 99% confidence interval for the fraction of u.s. adult twitter users who get some news on twitter, and interpret the confidence interval in context.
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[tex]sample \ proportion \pm 2.575\times standard \ error[/tex]
Given that 52% = 0.52 is the standard proportion and the standard error is 2.4% = 0.024.
Therefore, the 99% confidence interval for the fraction of u.s. adult twitter users who get some news on twitter is given by
[tex]0.52\pm2.575\times0.024=0.52\pm0.0618=(0.4582, \ 0.5818)[/tex]
Therefore, the 99% confidence interval for the fraction of u.s. adult twitter users who get some news on twitter is 45.82% and 58.18%.
The interpretation of the confidence interval is as follows: "We are 99% confident that the fraction of U.S. adult twiter users who get some news on twitter is between 45.82% and 58.18%.
For 99% confidence level, the interval will be (0.4582, 0.5818).
It can be interpreted as "45.82% to 58.18% of US adult will get information from twitter with a confidence of 99%".
Given information:
52% or 0.52 fraction of US adult twitter users get at least some news on twitter. It is the sample population in fractions.
The standard error is 2.4% or 0.024 fraction.
Normal distribution may be used to model the sample proportion.
Now, for 99% confidence level, the interval for the fraction of US adult who get some news on twitter will be,
[tex]I=\texttt{sample population}\pm 2.575\times \texttt{standard error}\\I=0.52\pm 2.575\times0.024\\I=0.52\pm 0.0618\\I=(0.4582, 0.5818)[/tex]
Therefore, for 99% confidence level, the interval will be (0.4582, 0.5818).
It can be interpreted as "45.82% to 58.18% of US adult will get information from twitter with a confidence of 99%".
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0.06 is 10 times as much as 0.600