Answer:
Step-by-step explanation:
All you have to do is multiply straight across, and you will have your answer:
*
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Answer:
the answer is b. 0.90
Answer:the last one
Step-by-step explanation:
Answer:
rotation, then translation
Step-by-step explanation:
i took the test
Answer:
59.48%
Step-by-step explanation:
To determine the probability you have to calculate the z score which is equivalent to the number of standard deviations you are from the mean.
x is the value you want to know its probability
μ is the mean
σ is the standard deviation
A z score of -0.24 means you are 0.24 standard deviation at the left of the mean, the probability associated to a z of -0.24 can be found in a z table and it is 40.52%.
That probability cover the minimum value until 12 minutes, so the probability to need more than 12 minutes is 100 - 40.52 = 59.48%
Answer:
Step-by-step explanation:
Container A: 200 L. Filled 6 liters per minute.
Container B: 500 L. Drained 6 liters per minute.
So, as you can see, filled means sum and drained mean subtract. Since that time is the magnitude we need to find, that will be are variable X.
Container A will have this expression: 200 + 6X
Container B will have this expression: 500 - 6X
As you can see, six is multiplying the time, because it represents the velocity of the water (liters per minute).
Therefore, the question ask to calculate the time when containers are equal, so we do so with expressions:
200 + 6X = 500 - 6X; Setting variables to the same site of the equality
6X + 6X = 500 - 200
12X = 300
This means that passed 25 minutes, containers will have the same amount of liters, let's check:
With a rate of 6 liters per minutes, after 25 minutes we'll have 6 x 25 = 150.
If we add 150 to the 200, and we subtract 150 from the 500, both are gonna result 350.
The largest factor of 16 that is also a perfect cube is 2. When you factor out 16, you will get 4 times 4 and then factor out 4, you will also get 2 times 2 times 2 times 2. Other factors for 16 is 8 times 2 which can be further divided into 2 times 2 times 2 times 2. When you factor out 8, you get 2 times 2 times 2 and so 2 is a perfect cube.
y=6x would be the equation that represents a function :0
(1). The sum of 5 times a number and -11 is -16. The equation is 5x - 11 = -16.
(2). 12 times the sum of a number and -8 is 48. The equation is 12x - 96 = 48.
(3). The sum of 5 times a number and 2 is -13. The equation is 5x + 2 = -13.
(4). The sum of 7 times a number and 11 is 81. The equation is 7x + 11 = 81.
(5). 3 times the sum of a number and -2 is -15. The equation is 3x - 6 = -15.
(6). 5 times the sum of a number and 2 is 35. The equation is 5x + 10 = 35.
Let the unknown number = x
The algebraic equation of word problem is written as follows;
(1). The sum of 5 times a number and -11 is -16
The equation is written as;
5x + (-11) = -16
5x - 11 = -16
(2). 12 times the sum of a number and -8 is 48
The equation is written as;
12(x - 8) = 48
12x - 96 = 48
(3). The sum of 5 times a number and 2 is -13.
The equation is written as;
5x + 2 = -13
(4). The sum of 7 times a number and 11 is 81.
The equation is written as;
7x + 11 = 81
(5). 3 times the sum of a number and -2 is -15.
The equation is written as;
3(x - 2) = -15
3x - 6 = -15
(6). 5 times the sum of a number and 2 is 35.
The equation is written as;
5(x + 2) = 35
5x + 10 = 35
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Answer:
1. 5x-11 = -16 so x= -1
2. 12x -8 = 48 so x=56/12
3. 5x +2 = 13 so. x= -3
4. 7x +11 = 81 so x = 10
5. 3x -2 = -15 so. x= -13/3
6. 5x + 2 = 35 so. x = 33/5
Answer:
A.
Step-by-step explanation:
First, find the rate of change [slope]:
Then use the Slope-Intercept Formula instead of the Point-Slope Formula, since you get it done faster this way. It does not matter which ordered pair you choose:
0 = −½[2] + b
−1
1 = b
y = −½x + 1
Then, convert to Standard Form:
y = −½x + 1
+ ½x + ½x
__________
½x + y = 1 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
2[½x + y = 1]
__________________________________________________________
4 = −½[−6] + b
3
1 = b
y = −½x + 1
Then, convert to Standard Form:
y = −½x + 1
+ ½x + ½x
__________
½x + y = 1 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
2[½x + y = 1]
* You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
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