A scuba diver descends farther down into the ocean from an initial depth of 13.6 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level.

What is the maximum rate, r, that the scuba diver may descend?

r ≥ 24.72
r ≤ 24.72
r ≤ 13.84
r ≥13.84​

Answer:

x ≤ 7  or  x ≥ 9

Step-by-step explanation:

4|x - 8| + 1 ≥ 5

Subtract 1 from both sides.

4|x - 8| ≥ 4

Divide both sides by 4.

|x - 8| ≥ 1

x - 8 ≤ -1  or  x - 8 ≥ 1

x ≤ 7  or  x ≥ 9

Answer:

30yd^3

Step-by-step explanation:

dimensions are 3*5*2 (count the number of blocks) so multiply to get 30 yd^3

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

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Answer:

0, 1/18, and 1/36

Step-by-step explanation:

For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.

For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.

For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

We have,

The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."

Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.

Let's go through the cases:

i = 2 (only possible sum with two dice):

In this case, both dice must show a 1.

The probability of this happening on a fair 6-sided die is

(1/6) * (1/6) = 1/36.

i = 3: The combinations are (1, 2) and (2, 1).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 4:

The combinations are (1, 3), (2, 2), and (3, 1).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 5:

The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).

The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.

i = 6:

The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 7:

The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.

i = 8:

The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 9:

The combinations are (3, 6), (4, 5), and (5, 4).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 10:

The combinations are (4, 6) and (6, 4).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 11:

The combinations are (5, 6) and (6, 5).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 12:

The combination is (6, 6).

The probability of this happening is (1/6) * (1/6) = 1/36.

Now, sum up the probabilities for each case:

(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)

This simplifies to:

69/36 = 23/12

Thus,

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

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Answer:

An even number: 1/2, A multiple of 3: 1/4, A multiple of 4: 1/4, Not a multiple of 4: 3/4, Less then 4: 3/8

Step-by-step explanation:

Since there are eight faces all you have to do is take the number that answers the question and put it over eight.

Answer: the first one is 19 and the second is 81.

Answer:

x = -6

Step-by-step explanation:

B = 2

F = 6

D = 4

H = 8

x + B = Fx - Dx + H

x + 2 = 6x - 4x + 8

x + 2 = 2x + 8

-x = 6

x = -6

Answer:

f=1+xb+dx−h

my answer to your question

Answer:

18 is the greatest common factor between those

Answer:

There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.

Step-by-step explanation:

Answer:

3x - 5

Step-by-step explanation:

Answer:

xx

Step-by-step explanation:

Answer:

[tex]x[/tex] = 14

Step-by-step explanation:

(4x-1)+(2x+7)+90=180

Answer:

A and F.

Explaination:

Answer: 7, 56

Step-by-step explanation:

The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.

Answer:

y=6x-1

Step-by-step explanation:

Answer:

[tex]\bold{-6x + y = -1}[/tex]

Step-by-step explanation:

The slope form is [tex]y=mx+b[/tex]. So, convert this to a slope form:

Answer:2/3

Step-by-step explanation:

10-4=6

12-8=4

4/6=2/3

3x - 7 + 2x - 3 = 90

<=> 5x -10=90

<=> 5x = 100

<=> x=20

ok done. Thank to me :>

Answer:

3and3 4and 2 5and1

Step-by-step explanation:

3 is the coordinate of 3 4is the coordinate of 3 5is the coordinate of 1

Answer:

3 2/5

Step-by-step explanation:

17/5= 3 2/5

Answer:

First find the nearest number divisible by 5 to get a whole number returned

that number is 15

15/5 = 3 (no decimals)

so the ‘big’ (as I like to call it) number or the integer that isn’t part of the fraction would be 3.

now what is left?

subtract 15 from the numerator

17 - 15 = 2

replace 17 with 2 in the fraction to get 2/5

The result is [tex]3\frac{2}{5}[/tex]

to prove this is the same

multiply the ‘big number’ by the denominator

3*5 = 15

and add the numerator

15+2 = 17

now just insert the denominator below it, and you get 17/5

Answer:

I think it may be 8.3.

Step-by-step explanation:

15 = 25

15÷3=25

25÷3=8.3333333

Round it to 1 decimal place and you get 8.3

y = -2/3x is the answer

What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

y=-2/3x

Answer:

(cost ---> length)

35 ---> 5

49 ---> 7

56 ---> 8

70 ---> 10

Answer:

Step-by-step explanation:

Answer: y = (x+6)(x-8)

Step-by-step explanation:

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

In essence; to determine the constant of proportionality, k in this case;

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

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Answer:

Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is

Step-by-step explanation:

calculating the change between two points.