The linear plot shows how water pressure changes as a diver's depth increases. What is the best
description of the effect on the water pressure experienced by a diver based on the diver's depth?
Water Pressure vs. Depth
For overy 33 feet a diver descends, the pressure
increases by 1 atmosphere.
Pressure
(in atmospheres)
Nex
For every 33 feet a diver ascends, the pressure
increases by 1 atmosphere.
For every 33 units of increase in atmospheric
pressure, the diver ascends by 1 foot.
25 50 75
Depth (in feet)
100 x
For overy 33 units of increase in atmospheric
pressure, the diver descends by I foot.
Answers
The solution is Option A.
The slope of the equation is 1/33 and For every 33 feet a diver descends, the pressure increases by 1 atmosphere
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A
The value of A = A ( 0 , 1 )
Let the second point be = B
The value of B = B ( 100 , 4 )
Now , the slope of the points of the line is given by the equation
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 4 - 1 ) / ( 100 - 0 )
Slope m = 3 / 100
Slope m = 1/33
Therefore , the value of slope of the line is 1/33
And , when the diver swims a depth of 33 feet , the atmospheric pressure increases by 1
Hence , The slope of the equation is 1/33 and For every 33 feet a diver descends, the pressure increases by 1 atmosphere
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Answer:
For every 33 feet a diver descends, the pressure increases by 1 atmosphere
Related Questions
8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6
Answers
Answer:
10 6
................
expand and simplify (2x-1)(x-3)
Answers
Answer:
Expand the polynomial using the FOIL method.
2 x 2 − 7 x + 3
Step-by-step explanation:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
find four rational number between -1 and -1/2
Answers
-1 + 1/98
-1 + 1/97
-1 + 1/96
Answer:
-3/4, -99/100, -7/8, -2/3
Step-by-step explanation:
rational numbers are numbers that can be made by dividing two integers
the numbers that are less than -1/2 and bigger than -1 are options, even -1 and -1/2
Farmer Smith Jr is putting together fruit baskets. He has 240 oranges and 150 grapefruits. What is the largest number of baskets he can put together so that he can have the same number of oranges in each basket and the same number of grapefruits in each basket?
Answers
Answer:
why does it say college even tho this is a question on my homework
Step-by-step explanation:
and i'm in 7th grade.
Which unit would be best for measuring the thickness of a coin?
» kilometer
») centimeter
() meter millimeter
Answers
Answer:
centimeter is the best to meause with
Vanessa about 5 feet of ribbon she cut off 36 inches to wrap a package and 18 inches to decorator's scrapbook how much ribbon does Vanessa have left
Answers
Answer:
0.5 feet left
Step-by-step explanation:
12 inches = 1 foot
36 inches = ? feet
36 × 1 = 36
12 × ? = 12?
36 = 12?
? = 36/12
? = 3 feet
18 inches = x feet
18/12 = 1.5 feet
3 + 1.5 = 4.5 feet total used
5(total) - 4.5(feet used) = 0.5 feet left
BRAINLIST+11 Pts!!!
Jim just found a job with a take-home pay of $950 per month. He must pay $400 for rent and $100 for groceries each month. He also spends $100 per month on transportation. If he budgets $50 each month for clothing, $100 for restaurants and $50 for everything else, how long will it take him to save $1,800?
Answers
Answer:12 months
Step-by-step explanation:
400+400=800 so 950-800=150 1800/150=12
Jean Paul laying in his bathroom. The room measured 10 feet in length and 6 feet in width. What is the area of the bathroom.
Answers
Answer:
60 ft^2
Step-by-step explanation:
6x10
get off of the bathrrom floor jean you sicko
Answer:
6 x 10 = 60 ft.^2
(A = b h)
Step-by-step explanation:
Why is he laying on his bathroom floor/tub/whatever-
Area is base times height. (length times width, if you will)
10 x 6
=60
Give the slope of the line which is parallel to y=−3x+7 (can you give me the equation?)
Answers
Answer:
Slope is -3, equation is y=-3x+b, where b can be any number but not 7.
Step-by-step explanation:
Parallel lines have the same slope, so the slope of a line parallel to this is also -3.
An example of a parallel line to this is y=-3x+2, or y=-3x-4.
Answer:
Step-by-step explanation:
Usually in a problem of this sort you must supply one point through which the new line passes; here you have not yet done that.
Let's suppose that the new line, which is parallel to y=−3x+7, passes through the point (0, 2). Remembering that parallel lines have the same slope, we
write the new line as y = mx + b and replace m with -3; we also replace x with 0 and y with 2:
2 = -3(0) + b. Solving for b, we get b = 2. Thus, the desired equation of the line parallel to y=−3x+7 and passing through (0, 2) is
y = -3x + 2
10% of 20% of 30% is equal to?
Answers
Answer:
The final percent would be (10/100) x (20/100) x (30/100) = 0.006 = 0.6%
Answer:3/500
Step-by-step explanation:
10% of 20% of 30%
10/100 of 20/100 of 30/100
1/10 x 1/5 x 3/10
(1x1x3)/(10x5x10)
3/500
Three methods, A, B and C, are available for teaching a certain industrial skill. The failure rate is 15% for A, 5% for B and 10% for C. The method A is used 30%, B is used 40% and C is used 30% of the time. A worker is taught the skill by one of the methods but fails to learn it correctly. a. (10 points) What is the probability that he was taught by method A? b. (5 points) What is the probability of B given A?
Answers
Answer:
a) so the correct answer is that the probability that method A has been taught is 0.4737
b) the probability that B receives A is 0.5
Step-by-step explanation:
With the previous data we know that 3 methods teach an industrial skill and when putting into practice a worker does not learn, we have the failure rates like this:
method A fails 15%
method B fails: 5%
method C fails: 10%
usage percentages:
A: 30%
B: 40%
C: 30%
a) the probability that method A has been taught is as follows:
P (failure rate) = P (A) * P (failure rate A) + P (B) * P (failure rate B) + P (C) * P (failure rate C)
we replace the data obtaining:
P = 0.3 * 0.15 + 0.4 * 0.05 + 0.3 * 0.1 = 0.095
P ( failure rate A) = P (A) * P (failure rate A) / P (failure rate)
we replace the data obtaining:
0.3 * 0.15 / 0.095 = 0.4737
so the correct answer is that the probability that method A has been taught is 0.4737
b) the probability that B receives A is as follows:
P (B | A) = P (B) = 0.50
A sphere is inscribed in a cube. Explain the relationship between the surface areas of the two solid figures
Answers
Answer:
No one knows. Jk just go look at the other brainly links. the question has already been asked and answered so you can go see them there.
Step-by-step explanation:
:)
A line has the equation 3x–4y–12=0.
What are the x- and y-intercepts of the graph of this equation?
Answers
Answer:
Step-by-step explanation:
y intercept is -3
x intercept is 4
Answer: x intercept = 4 and y intercept = -3
Step-by-step explanation:
In order to find the x intercept, set y=0 and solve the equation.
3x-4y-12=0
3x-4(0)-12=0
3x-12=0
add 12 to both sides
3x=12
divide both sides by 3
x = 4
The x intercept is 4.
To find the y intercept, set x = 0.
3x-4y-12=0
3(0)-4y-12=0
-4y-12=0
add 12 to both sides
-4y=12
divide both sides by -4
y = -3
The y intercept is -3.
Hope this helps! Have a great rest of your day :)
Please help with this ........
Answers
Your answer is that all angles are equal to 66.
Angle 3 and angle 7 are equal, which we know because corresponding angles are equal (angles that make an ‘F’ shape).
This means we can form an equation because we know what angle 3 and angle 7 are:
2x + 40 = 3x + 27
- 2x
40 = x + 27
- 27
13 = x
Therefore angle 7 is 3(13) + 27 = 66, and so is angle 3.
We also know that angle 5 is equal to 66, because it is vertically opposite to angle 7 and vertically opposite angles are equal.
I hope this helps!
6231 rounded to the nearest thousand is. Enter your answer without
commas.
Answers
Below midpoint (6000 - 6500) : 6000 to the nearest thousand
Past midpoint (6501 - 7000) : 7000 to the nearest thousand
Answer : 6000
Which two months experienced the earliest sunrises?
(Month one is January)
Answers
6 and 7
(june and july)
Josh types the 5 entries in the works cited page of his term paper in random order, forgetting that they should be in alphabetical order by author. What is the probability that he actually typed them in alphabetical order?
Answers
Answer:
0.83% probability that he actually typed them in alphabetical order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The number of ways in which n terms can be arranged is given by:
[tex]A_{n} = n![/tex]
Desired outcomes:
Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].
Total outcomes:
We want to arrange 5 entries. So
[tex]T = A_{5} = 5! = 120[/tex]
Probability:
[tex]p = \frac{D}{T} = 0.0083[/tex]
0.83% probability that he actually typed them in alphabetical order.
Help .....................
Answers
Answer:
~ 2 kilometers in length of the actual path ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
1 = 10,000 ⇒ x - centimeters in length of actual path
20 x
2. Now let us cross multiply, and solve through simple algebra for x:
10,000 * 20 = x,
x = 200,000 centimeters of the width of the item in reality
3. The answer demands in km, so let us convert 200,000 cm ⇒ km:
200,000/100,000 = 2 kilometers in length of the actual path
Mark computer weighs 35.769 pounds rounde to the nearest hundreds
Answers
Answer:
35.800
Step-by-step explanation:
Error Analysis The diameter of the circle is 18 m. Eugene incorrectly says that the circumference
of the circle is about 113.04 m. What is the circumference of the circle? What mistake did Eugene
make? Use 3.14 for .
The circumference of the circle is about m.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answers
Answer:56.52m, Eugene used a wrong formula
Step-by-step explanation:
diameter=18m
π=3.14
Circumference of circle=π x diameter
Circumference of circle=3.14 x 18
Circumference of circle=56.52m
Eugene used a wrong formula
Circumference of circle=2 x π x diameter
instead of
Circumference of circle=π x diameter
Convert the polar coordinates to rectangular form (√2,-π\4)
Answers
Answer:
(1, -1)
Step-by-step explanation:
To convert polar to rectangular coordinates, use these identities:
x = rcos(Ф)y = rsin(Ф)x² + y² = r²Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point
We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point
x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]So our (x, y) point is (1, -1)
[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]if 8% is deducted from the bill,$384 bill remains to be paid. How much is the original bill?
Answers
Answer:
$353.28
Step-by-step explanation:
A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answers
Answer:
Part A = 73.91%
Part B = 1/2 probability
Step-by-step explanation:
Part A - 90 + 20 + 80 + 40 = 230(total students)
90 + 80 = 170 students who like tv and reading
170/230 × 100 = 73.91%
Part B - 20(no read)/40(no tv) = 1/2 probability
What is the coefficient in yhe expression 10x+8
Answers
Explanation: the coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
Answer:
It is x
Step-by-step explanation:
solve for x. x/4-1/2(6-x)=7x+3(6-2x)-1
Answers
Answer:46
Step-by-step explanation:
x/4 - 1/2(6-x)=7x+3(6-2x)-1
x/4 - (6-x)/2=7x+18-6x-1
(x-2(6-x))/2=7x+18-6x-1
(x-12+2x)/2=7x-6x+18-1
(x+2x-12)/2=7x-6x+18-1
(3x-12)/2=x+17
Cross multiply
3x-12=2(x+17)
3x-12=2x+34
Collect like terms
3x-2x=12+34
x=46
Answer:
the answer is -80
Step-by-step explanation:
Angle of rotation :(((
Answers
Answer:
144
Step-by-step explanation:
360/5 x 2 = 144
If y= 1/4x and x = -12, find y.
Answers
Answer:
y = -3
Step-by-step explanation:
y= 1/4x and x = -12
Substitute x=12 into the first equation
y = 1/4(-12)
y = -3
Answer:
-3
Step-by-step explanation:
1/4 x -12
Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.
8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7
Find the range and the outlier(s), if any, of the data set.
Answers
Answer:
The range is 5, there are no outliers.
Step-by-step explanation:
To find the range, just subtract the smallest number from the largest number. In this case, the largest number is 10 and smallest number is 5. 10 - 5 is 5 so there's your answer!
Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.
Answers
Answer:1017.36 cm^3
Step-by-step explanation:
Diameter=18cm
Radius=r=18/2=9cm
Height=h=12cm
Volume of cone=1/3 x π x r^2 x h
Volume of cone=1/3 x 3.14 x 9^2 x 12
Volume of cone=1/3 3.14 x 9 x 9 x 12
Volume =(1x3.14x9x9x12) ➗ 3
Volume =3052.08 ➗ 3
Volume =1017.36
Volume of cone=1017.36 cm^3
Determine if y = 5 is a solution for 2y = 15.
Answers
Answer:
y=5 does not equal 2y=15
Step-by-step explanation:
If you plug y into the equation we get 2(5)=15
The next step is to multiply 2*5, which equals 10
10≠15
Answer:
y=7.5
Step-by-step explanation:
