The scuba driver descends at a maximum rate of r ≤ -13.84
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let r represent the maximum rate. Given 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. This can be represented as:
2.5r - 13.6 ≤ -48.2
2.5r ≤ - 34.6
r ≤ -13.84
Hence the scuba driver descends at a maximum rate of r ≤ -13.84
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Solve the quadratic function by factoring. y = x2 - 2x - 48 First, factor the quadratic. Enter the number that belongs in the green box. y = (x + [?])(x - 1)
Answer: y = (x+6)(x-8)
Step-by-step explanation:
Can someone please help me with this? I'm so lost :(((
An octahedral die is thrown. The faces are numbered 1 to 8. What is the probability that the number is thrown is:
An even number:
A multiple of 3:
A multiple of 4:
No a multiple of 4:
Less than 4:
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.
find the value of x thank you
3x - 7 + 2x - 3 = 90
<=> 5x -10=90
<=> 5x = 100
<=> x=20
ok done. Thank to me :>
Simplify 3 (x - 5) by distributing.
Answer:
3x - 5
Step-by-step explanation:
In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?
Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -
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.
If you the numbers 2 and 2, what will the final sum be
Please help me with this equation, the values are in the file
x + B = Fx - Dx + H
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
can someone help me peaseeeee
Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Answer:
(cost ---> length)
35 ---> 5
49 ---> 7
56 ---> 8
70 ---> 10
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x + y = -1
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:
help with this question
Answer:
Step-by-step explanation:
4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.
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.
What is the probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, i = 2, 3,. , 12?.
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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Model a desert community where 19% of the area is
desert and the rest is houses.
squares represent the area of the community
that is desert.
The area of the community that is houses is
represented by squares.
Answer: the first one is 19 and the second is 81.
If for evry 15 there is 25 what is the number for just 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
A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.
The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
y = dependent variablex = independent variablek = constant of proportionality.In essence; to determine the constant of proportionality, k in this case;
k = y/xSince the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
k = 18.50.A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
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solve pls brainliest
Answer:
30yd^3
Step-by-step explanation:
dimensions are 3*5*2 (count the number of blocks) so multiply to get 30 yd^3
What is the greatest common factor of 18, 6, and 36?
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:
Pls someone help asap! Only answer if you know the correct answer thanks!
Answer:
xx
Step-by-step explanation:
The slope of the line that passes through the points (10,8) and (4,12)
Answer:2/3
Step-by-step explanation:
10-4=6
12-8=4
4/6=2/3
Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work
Hi, How do I do this?
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
Please Pleaseee help...will make the brainliest
Answer:
A and F.
Explaination:
what is this anyone know?
4|x-8|+1>_5 ASAP please
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
How do you write 17/5 as an mixed number
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
find the value of x !!!!!!
Answer:
[tex]x[/tex] = 14
Step-by-step explanation:
(4x-1)+(2x+7)+90=180
What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?
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
PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.
Which statement about the slope of the line is true?
It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.
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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