Rewrite 12x4y3 − 48x3y4 using a common factor.

Answer:

Distance LM = 5.20 unit (Approx.)

Step-by-step explanation:

Given coordinates;

L(1, 4, 7) and M(2, 9, 8)

Find:

Distance LM

Computation:

Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²

Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²

Distance LM = √(1)² + (5)² + (1)²

Distance LM = √1 + 25 + 1

Distance LM = √27

Distance LM = 3√3 unit

Distance LM = 3(1.732)

Distance LM = 5.196

Distance LM = 5.20 unit (Approx.)

132 divided by 12 is equal to 11 with a remainder of 2.

To perform the division, you can use long division:

Step 1: Set up the division equation:

      _______

12 | 132

Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:

      11

      _______

12 | 132

Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):

      11

      _______

12 | 132

     -  12

      _______

        120

         3

Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

          2

Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.

The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.

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Answer:

720 ft^2

Step-by-step explanation:

1) find the area of the swimming pool

A = 32 x 16 = 512 ft ^2

2) find the total area

A = 44 x 28 = 1232 ft^2

3) find the area of the deck

A = total area - area of the swimming pool = 1232 - 512 = 720 ft^2

Answer:

512

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

To find the second factor of a multiplication problem with only the answer and the first factor, divide the answer by the first factor.

[tex]2600/40= 65.[/tex]

Therefore, 40 × 65 = 2600.

On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

here we have,

center at (5,-2), one vertex at (2, -2) and a focus at

(5+ √5,-2)

so the answer is (5+ , root5)

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Answer:

Step-by-step explanation:

To obtain the graph of f(x)-1 you only need to move down one unit   the graph of f(x).  What do you think is the best answer? I think is 4.

Answer: Graph 1

Step-by-step explanation:

Answer:

The high of the water is 2 cm.

Step-by-step explanation:

The equation of this volume is:

[tex]V=45*10*x[/tex]

We know that the volume is 900 cm³. So we just need to put this value in the above equation and solve it for x, which is the height.

[tex]900=45*10*x[/tex]

[tex]900=450*x[/tex]

[tex]x=\frac{900}{450}[/tex]

[tex]x=\frac{900}{450}[/tex]

[tex]x=2\: cm[/tex]

Therefore, the high of the water is 2 cm.

I hope it helps you!

Answer:What is the probability that you will finish this quiz in 23.84 minutes or less?

0.03593

Write your answer as a percentage with 2 decimals

= 3.59%

Step-by-step explanation:

The z score formula is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 26 minutes

Standard deviation = 1.2 minutes.

Answer:

Angle x = 120 degrees

Angle y = 60 degrees

Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.

Answer:

The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

92.7% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.927}{2} = 0.9635[/tex]. So we have T = 2.1437

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.1437\frac{3.99}{\sqrt{45}} = 1.275[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 49.41 - 1.275 = 48.135 pounds

The upper end of the interval is the sample mean added to M. So it is 49.41 + 1.275 = 50.685 pounds.

The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.

Answer: This is not a function

Why not?

The input x = 2 leads to more than one output. In this case, it leads to y = 20 and y = 40 simultaneously. This is the reason why we don't have a function. A function is only possible if each input x leads to exactly one y output.

Put another way: we cannot have x repeating any values if we want a function.

Side note: We could have y repeat however. So it's possible to have a function with the two points (1,5) and (3,5).

Answer:i think A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) mean: sum the values and divide for how many they are

Red birds: (87+94+99+85+106+111)/6 = 97

Rockets : (93+107+87+89+108+92)/6 = 96

the Red birds have the higher mean, that is 97

2) median

set the numbers from the least to the greatest and check the number in the middle

Red birds: 85, 87, 94, 99, 106, 111

there are two numbers in the middle, so we have to added up them and divide the result by two

median = (94  + 99)/2 = 96,5

Rockets = 87, 89, 92, 93, 107, 108

median = (92+93)/2 = 92,5

the Red birds have the higher median, that is 96,5

3) range: difference between the highest and the lowest value

Red birds = 111 - 85 = 26

Rockets = 108 - 87 = 21

the Red birds have the highest range, that is 26

xfgxfsdfxcxcxAnswer:

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Five multiplied by a certain number is added to two

 5          *                          x                        +             2

equals four times the number plus four

  =          4       *              x          +       4

---------------------------------------------

5x + 2 = 4x + 4

Subtract 4x from both sides

x + 2 = 4

Subtract 2 from both sides

x = 2

Answer:

a) x=9

b)x>7 or x≤-8

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

here x = option c and here y= option a

b= 8

Step-by-step explanation:

If we rewrite the 2nd equation, it becomes

15y = -6x - 11 ---> y = (-2/5)x - (11/15)

In order for this system of equations to have no solution, they must have the same slope, i.e., they're parallel to each other. So rewriting the 1st equation,

20y = -bx + 11

---> -b/20 = -0.4 or b = 8

Answer:

Step-by-step explanation:

-38 + -12x < -200

Answer:

-38 - 12x > -200

x = 13.5 min

Step-by-step explanation:

let x = minutes of the dive

-38 ft - 12 ft/min(x) > -200 ft

-12 ft/min(x) < -162 ft

x > -162/-12   **flip the inequality when you divide by a (-) number

x > 13.5 min

Starting at -38 ft, he has to dive longer than 13.5 minutes to go deeper than -200 ft at a rate of -12 ft/min

If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

The perimeter of a triangle is the sum of all the sides which is:

P = a + b + c

64 = 3x +4x - 1 + x + 1

64 = 8x

x = 64/8 = 8 units

Therefore the length of side PR is :

3x = 3 (8) = 24 units.

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Answer:

X=3

Step-by-step explanation:

180-105-46=6x+11

6x+11=29

6x=18

x=3

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Answer:

I am sure the answer is 300

Answer:

120 in²

Hope this helps!

If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.

So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.

After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155

So after the deposit, the account balance is $155

It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.

Answer: (-3,-1)

Step-by-step explanation:

Answer:

14.5833333333

Step-by-step explanation:

3.5x2.5=8.75, divided by 0.6 is 14.5833333333