Answer:
(a) [tex]p = 0.43d[/tex]
(b) [tex]p = 21.5[/tex]
(c) [tex]d = 151.163[/tex]
Step-by-step explanation:
Given
Variation: Direct
Represent ear pressure with p and depth with d.
So, we have:
[tex]p\ \alpha\ d[/tex]
[tex]d =10[/tex] when [tex]p =4.3[/tex]
Solving (a): Write a variation
We have:
[tex]p\ \alpha\ d[/tex]
Write as an equation
[tex]p = kd[/tex]
Where: k is the constant of variation
[tex]d =10[/tex] when [tex]p =4.3[/tex]
So, we have:
[tex]4.3 = k * 10[/tex]
Make k the subject
[tex]k = \frac{4.3}{10}[/tex]
[tex]k = 0.43[/tex]
Substitute 0.43 for k in [tex]p = kd[/tex]
[tex]p = 0.43d[/tex]
Solving (b): Pressure at 50 feet
Substitute 50 for d in [tex]p = 0.43d[/tex]
[tex]p = 0.43 * 50[/tex]
[tex]p = 21.5[/tex]
The pressure is 21.5 pounds per square
Solving (c): The safe depth
The safe depth stops at a pressure of 65psi.
Substitute 65 for p in [tex]p = 0.43d[/tex]
[tex]65 = 0.43 * d[/tex]
Make d the subject
[tex]d = \frac{65}{0.43}[/tex]
[tex]d = 151.162790698[/tex]
[tex]d = 151.163[/tex] -- approximated
The safe distance for an amateur is 151.163ft
Convert 6 over 15 to a decimal.
0.2
0.3
0.4
Answer:
0.4
Step-by-step explanation:
just do 6 divided by 15
Answer: 0.4 :)
Step-by-step explanation:
A submarine was situated 759 feet below sea level. If it ascends 125 feet, what is its new position?
Answer:
634
Step-by-step explanation:
it started 759 under went up 125 feet
use the equation 759-125=634
. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
John makes a commission of 6% when he sells a house how much is john's commission if he is sells a house for $300,000
Answer:
18,000
Step-by-step explanation:
6% is 0.06
300,000 * 0.06 = 18,000
Answer:
John's commision is $18,000
Step-by-step explanation:
This is is essentially asking what 6% of $300,000 is.
6% in decimal form equals 0.06
You then multiple the decimal to the orginal value.
(0.06)(300,000) = 18,000
John's commision is $18,000
11. Find the slope given two points.
(-1, 4) and (4, -3)
Answer:
m = -7/5
Step-by-step explanation:
in which equation is y a nonlinear function of x ? will Mark brainiest is for the correct answer please help me
9514 1404 393
Answer:
(B)
Step-by-step explanation:
The power of x is 1 everywhere except equation (B), where it is 1/2.
Equation B is a nonlinear function of x.
Answer:
Step-by-step explanation: D
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
Answer:
Answers - 2, 1, 1/2 1. (2x3^-2)(5x3^2)^2 (3^-2)(5x2)^2 2. (3^3)(4^0)^2(3x2)^-3(2^2) 3. (3^7x4^7)(2x5)^-3(5^2) 12^2x5^-1x2^-4 4. (2x3)^-1x2^0 (2x3)-1
Step-by-step explanation:
wikipideia
You purchase a new mountain bike for $1,575. You put a 10% down payment and $65.56 per month on a 24 month purchase plan. Determine the total finance charge.
Answer:
c believe me
Step-by-step explanation:
What is the area of the triangle given below?
A. 32 sq. units
B. 17 sq. units
C. 52 sq. units
D. 26 sq. units
Find the value of x.
AS
7
х
D
3
B
'c
X=
V[?]
Enter
9514 1404 393
Answer:
x = √70
Step-by-step explanation:
The triangles shown are all similar, so corresponding sides are proportional.
hypotenuse/long side = x/7 = (7+3)/x
Cross-multiplying gives ...
x^2 = 7(10)
x = √70
_____
You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.
A similar "geometric mean" relation holds for the short side:
BC = √(CD·CA)
There is yet another "geometric mean" relation that holds for the altitude:
BD = √(CD·AD)
You may see these again.
Solve the equation
v-5/6=-7/8
Please help
May need to zoom in
Answer:
7%=0.07, 25%=0.25, 6.5%=0.065, 5%=1/20, 15%=3/20
Step-by-step explanation:
Feel free to ask questions if you don't know how to find the answer
how do you solve y+1=2x
y =2x-1
Step-by-step explanation:
Forest Gump walks 30 miles a week for exercise. He has completed 45%
of his weekly goal. How many more miles does Forest have to walk to
meet his goal? *
A. 16.5
B. 13.5
C. .45
D. 20
Answer
A. 16.5
Step-by-step explanation:
First you calculate what 45% of 30 is. Then you subtract that from 30.
1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.
Answer:
8.3 is equal to eight tenths 3 hundredths
28 is equal to 28 tenths.
What is the answer ?
How many minutes does April jump rope in 1 day? 1 week?
Answer:
2 1/3 hours
Step-by-step explanation:
7/1 × 1/3 = 7/3 = 2 1/3 so the answer would be 7/3 or 2 1/3
Pls help this is really important
Answer:
x = 30 I'm sure hope this helps
Solution to the systems of equations,
g(x)=3x+2
f(x)=|x-1|+1
Hi there! :)
[tex]\large\boxed{\text{ x = 0, or (0, 2)}}[/tex]
The solution of g(x) = 3x + 2 and f(x) = |x - 1| + 1 is where the two lines intersect.
According to the graph, the functions intersect at the point (0, 2), or x = 0. This is the solution to the system of equations.
We could also prove this algebraically by setting the two equations equal to each other:
3x + 2 = | x - 1 | + 1
Assume the absolute value function is negative:
3x + 2 = -(x - 1) + 1
Simplify:
3x + 2 = -x + 2
Add x to both sides:
4x + 2 = 2
Subtract 2 from both sides:
4x = 0
x = 0. This is the solution to the system.
Solve for n:
3n + 2n - 17 = 38
12x13=? please help I only know up too 12 not. 13 helppppp
Answer:
156
Step-by-step explanation:
hopefully this is the answer you're looking for
Answer:
156
Step-by-step explanation:
the answer of the product of 12 and 13 is 156
which shows the product of 23 and 39
Answer:
23 * 29
Step-by-step explanation:
pls give thanks, 5 star, brainliest
For a two-day rental at the surf shop, it cost $55 to rent a surf board and $70 to rent a paddle board. On a certain weekend, the surf shop rented 51 total surf boards and paddle boards and made $3300. How many paddle boards were rented?
Answer:
7 paddleboards
Step-by-step explanation:
In order to solve this, you have to find the total amount that they earned by renting surfboards.
To find this you multiply 55 x 51 =2,805.
Then you use this factor and subtract it from the total amount they earned.
$3,300 - $2,805 = $495.
This shows us that they earned a total of $495 from renting out paddle boards. To find out how many paddle boards were rented out you have to divide $495 by $70 which is how much they charge to rent paddle boards.
495/70 = 7
In conclusion, they rented out 7 paddle boards.
Please help! I need by tomorrow!
Answer:
-1 = -6
-5 = 2
2 = 4
or it could be
-1,-1
-5, -1
2,2
Step-by-step explanation:
Mila and Ava play a number game. Mila gives Ava a number and she does three computations:
She subtracts 5 from that answer.
She multiplies the number by 2.
Then, she adds 8 to the answer.
What number should Mila give Ava so that the final answer is 92?
Answer:
Step-by-step explanation:
(x-5)2+8 = 92
2x-10+8 = 92
2x = 94
x = 47
Answer:
Step-by-step explanation:
2(n-5)+8=92
2n-10+8=92
2n-2=92
2n=94
n=47
In the slope - 6/11, the 11 indicates to
A. Rise 11 units
B. Fall 11 units
C. Run 11 units
Answer:
C. run 11 units
Step-by-step explanation:
because you run down -6 you rise 11
30 PTS
Is 2.6 < -6.2 explain
Answer:
No
Step-by-step explanation:
2.6> -6.2
2.6 is more positive
Answer:
no
Step-by-step explanation:
the 6.2 is negative so it's below zero therefore this is false
Here are eight angles. Which of these angles are obtuse angles?
Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are obtuse, type A, B, F.
Help me please. Please, Please!!!
The obtuse angles from the given list are D (between 90° to 180°) and E (111° angle). Thus, the answer is D, E.
The angles are given as follows:
A: less than 45°
B: greater than 270°
C: right angle
D: between 90° to 180°
E: A 111° angle
F: A 222° angle
G: A 0.180° angle
H: A 180.180° angle
To identify which angles are obtuse, we need to determine the angles that are greater than 90 degrees but less than 180 degrees.
Among the given angles:
A: less than 45° (not obtuse)
B: greater than 270° (not obtuse)
C: right angle (not obtuse)
D: between 90° to 180° (obtuse)
E: 111° angle (obtuse)
F: 222° angle (not obtuse)
G: 0.180° angle (not obtuse)
H: 180.180° angle (not obtuse)
Therefore, the obtuse angles from the given list are:
D (between 90° to 180°)
E (111° angle)
The answer is D, E.
Learn more about the obtuse angles here:
https://brainly.com/question/30813354
#SPJ4
0.345 times 83.8 I forgot how to do it .w.
Answer:
28.911
Step-by-step explanation:
you just have to open up a calculator lol
The volume of a cube is 216 ft^3. What is the length of a side?
Answer:
54
Step-by-step explanation:
cause a cub has 4 sides so each side is 54
Answer:
The length of a side is 6.
Step-by-step explanation:
Since, the volume of a cube is equal to l*w*h.
V=l*w*h
Volume is equal to side cubed.
V=s^3
Cube 216 to get 6.
216=s^3
3^√216=s
Answer: 6