Factor 2x^3 - 12x^2 + 16x.

A. 2(x^2 - 2)(x - 4)

B. 2x(x - 2)(x - 4)

C. 2(x^2 + 2)(x - 4)

D. 2x(x + 2)(x - 4)

Answer:

Lake Carters, Lake Amistad, Lake Alamo

Step-by-step explanation:

Starting with lake Alamo:

current level: 1,080

Full pool: -48.5

This indicates that the level is currently 48.5 feet below a full pool

Therefore, the level of it as a full pool is 1,080 + 48.5, or 1,128.5 feet

Lake Amistad:

Current Level: 1,038

Full pool: -7.1%

This indicates that the level is currently 7.1% below a full pool

subtract 7.1% from 100%

100-7.1=92.9

Percent formula:

P% * X = Y

P = 92.9

Y = 1038

X = 1038 / 92.9%

X = 1117.33

Full pool = 1117.33

Lake Carters

Current level: 1078

Full pool: + 60/13

This indicates that the level is currently 60/13 above a full pool

60/13 = 4.62

1078 - 4.62 = 1073.38

full pool = 1073.38

So, the order is Lake Carters, Lake Amistad, Lake Alamo

The correct option about  Gustavo’s method of data collection and his data is Gustavo used a simulation where the data is qualitative.

Qualitative data is data that describes the properties that a certain object or event possesses. The numerical value assigned to qualitative data do not have an significance. A simulation is a form of test run for an actual event.

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Answer:

ITS C

Step-by-step explanation:

Answer: 0.00703

Step-by-step explanation: The ordinary number, or standard form, of this expression would be 0.00703 because here, we are multiplying 7.03 in scientific notation by a power of ten that is negative. If any exponential power of 10 is being multiplied and is negative, the digits move that same number of places to the right of the decimal point to render a smaller number than it was in the expression. Hope this helps!

Answer:

1728

Step-by-step explanation:

When there is 3 places you have to sqaure 12 by 3
12^2= 144
144*12= 1728
Hope this helps.

Answer:

x=6

Step-by-step explanation:

BC=7

x+1=7

x=7-1=6

x=6

The selection of a random number from 1 - 72 is an illustration of probability, and the probability of selecting a multiple of 9 is 1/8

The sample size is given as:

n = 72

There are 8 multiples of 9 from 1 to 72.

So, the probability that a multiple of 9 is selected is:

P(Multiple of 9) = 8/72

Simplify

P(Multiple of 9) = 1/9

Hence, the probability of selecting a multiple of 9 is 1/8

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Answer:

A. and B.

Step-by-step explanation:

Given the ODE

(x - 1) y'' + y' = 0

we assume a solution of the form

[tex]y(x) = \displaystyle \sum_{n=0}^\infty c_n x^n[/tex]

with derivatives

[tex]y'(x) = \displaystyle \sum_{n=0}^\infty n c_n x^{n-1} = \sum_{n=0}^\infty (n+1) c_{n+1} x^n[/tex]

[tex]y''(x) = \displaystyle \sum_{n=0}^\infty (n+1) n c_{n+1} x^{n-1} = \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n[/tex]

Substituting these series into ODE gives

[tex]\displaystyle (x - 1) \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]

[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^{n+1} - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]

[tex]\displaystyle \sum_{n=1}^\infty (n+1)n c_{n+1} x^n - \sum_{n=0}^\infty (n+2)(n+1) c_{n+2} x^n + \sum_{n=0}^\infty (n+1) c_{n+1} x^n = 0[/tex]

[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)n c_{n+1} - (n+2)(n+1) c_{n+2} + (n+1) c_{n+1}\bigg) x^n - 2c_2 + c_1 = 0[/tex]

[tex]\displaystyle \sum_{n=1}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n - 2c_2 + c_1 = 0[/tex]

[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2}\bigg) x^n = 0[/tex]

Then the coefficients [tex]c_n[/tex] are given recursively by

[tex](n+1)^2 c_{n+1} - (n+2)(n+1) c_{n+2} = 0[/tex]

for all n ≥ 0, or equivalently,

[tex]c_{n+2} = \dfrac{n+1}{n+2} c_{n+1}[/tex]

which most closely resembles the second choice.

Answer:

The common denominator is 4.

Step-by-step explanation:

4/8 simplified is 2/4.

Therefore, we can now add them together.

2/4 + 2/4 = 1.

Hope this helps:) Goodluck!

Answer:

The perimeter of the rectangle is 28 units

Answer:

15 gallons per hour

Step-by-step explanation:

So, what is given in the equation is that 1/4 of a gallon is leaking per minute. We have to change this to gallons per hour. Set it up like this:

[tex]\frac{\frac{1}{4}gallon }{1 minute} *\frac{60 min}{1 hour}[/tex]

Use a calculator and multiply 1/4 by 60.

After doing this, you should get:

[tex]\frac{15 gallons}{1 hour}[/tex]

Thus, the answer is the pool will leak 15 gallons per hour.

Hope this helps!! Ask questions in comments if needed!

Answer:

The answer is D

Step-by-step explanation:

The solution is in the file

Part A: The total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8

Part B: The length of the third side of the triangle is 10x³ -2x²  - 16x + 2

From the given information,

The length of side 1 is

6x² - 4x - 2

and the length of side 2 is

18x + 4x² - 6

Part A

The total length of the two sides, 1 and 2, of the triangle will be

Length of side 1 + Length of side 2

That is,

6x² - 4x - 2 + 18x + 4x² - 6

This becomes,

6x² + 4x² + 18x - 4x - 2   - 6

10x² + 14x - 8  

Therefore, the total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8

Part B

The length of the third side will be

Perimeter of the triangle - the total length of sides 1 and 2

From the given information,

The perimeter of the triangle is 10x³ + 8x² - 2x - 6

Then,

Length of third side = 10x³ + 8x² - 2x - 6 - (10x² + 14x - 8)

Length of third side = 10x³ + 8x² - 2x - 6 - 10x² - 14x + 8

Length of third side = 10x³ + 8x² - 10x²  - 2x - 14x - 6  + 8

Length of third side = 10x³ -2x²  - 16x + 2

Hence, the length of the third side of the triangle is 10x³ -2x²  - 16x + 2

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The statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Therefore, the statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".

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The amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the alcohol solution of 22 ml has a 12% of concentration. Therefore, the amount of alcohol in the solution is,

12% of 22ml = 2.64ml

Since the amount of alcohol should be the same while the concentration should be diluted, therefore, the amount of alcohol in the final solution can be written as,

[tex]11\%\ of\ x = 2.64{\rm\ ml}\\\\\dfrac{11}{100} \times x = 2.64\\\\x = 24\rm\ ml[/tex]

As the total solution with 12% concentration was 22 ml, while the total solution with 11% concentration was 24 ml.

Hence, the amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

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Answer:

97.5

Step-by-step explanation:

75,85,90,105,120,150

90 and 105 are the middle, and median means the middle, but you can only have one answer.

90+105=195

195÷2=97.5

97.5 is the middle of all these numbers

Answer:

621 i guess

Step-by-step explanation:

18x² + 2x² - 7

Tap on a clip to paste it in the text box.

So we want to know how many out of 1000 people did not listen to any type of the three music types that were surveyed If 30% of people listened to pop, 26% of people listened to rock and 20% of people listened country music. So first lets see how many people liked the three types of music: 30%+26%+20%=76%. So 24% of people did not like the three types of music that were surveyed. Finally we need to see how many people in 1000 is 24%. 24% out of 1000 people is 0.24*1000=240 people. So 240 people didn't like the 3 types of music.

Answer:

(y-3)^2=4p(x-2)

Step-by-step explanation:

C(h,k)

The equation is (y-k)^2=4p(x-h)

Answer:

(x-2)² + (y-3)² = 9

Explanation:

Circle Formula: (x - h)² + (y - k)² = r²

As touches x axis, coordinates: (2, 0)

radius: √(2-2)² + (3 -0)² = 3

Now find equation:

= (x-2)² + (y-3)² = 3²

= (x-2)² + (y-3)² = 9

Answer:

x = 13.83

Step-by-step explanation:

[tex]sin(70^{o}) =\frac{13}{x}[/tex]

[tex]x=\frac{13}{sin(70^{o} )} =13.83[/tex]

Hope this helps

Step-by-step explanation:

the sum of all angles in a triangle is always 180°.

angle c = angle a + angle b + 40

angle a = angle b - 20

angle a + angle b + angle c = 180

using the second equation in the first :

angle c = (angle b - 20) + angle b + 40 = 2×angle b + 20

using this and the second equation in the third equation :

(angle b - 20) + angle b + (2×angle b + 20) = 180

4×angle b = 180

angle b = 45°

angle a = angle b - 20 = 45 - 20 = 25°

angle c = angle a + angle b + 40 = 25 + 45 + 40 = 110°

Answer:

hello!!!

the answer is 1916.6

please read the explanation it always helps... trust me!

Step-by-step explanation:

alrighty so....

we what to find the number that when we take 12% of we get 230...

okay we have to switch things up in the percent formula since we dont have the total number just the percentage and the percent number itself (i hope that isnt confusing.. the math is easier tho)

230 x 100= 23000 --> 23000/12= 1,916.6

Answer:

1,916.67

Step-by-step explanation:

1230/12 = x/100.

12x= (230)(100).

12x=23000.

x= 23000/100

x = 1,916.67

The f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

A fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Total items in the list is x and Shelby found f(x) item.

Tom found 1/3 of the items, and

Lily found 4/9 of the items.

Then,

[tex]\rm f(x) = x - (\dfrac{1}{3}+ \dfrac{4}{9})\\\\\rm f(x) = x - (\dfrac{3+4}{9})\\\\\rm f(x) = x - \dfrac{7}{9}\\\\\\\rm f(x) = \dfrac{9x-7}{9}\\\\[/tex]

Thus, the f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

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Answer: 99 cm²

Step-by-step explanation:

      The area of a triangle can be found with [tex]a=\frac{b*h}{2}[/tex] so we will plug in the given values and solve.

[tex]\displaystyle a=\frac{b*h}{2}[/tex]

[tex]\displaystyle a=\frac{(18 cm)(11cm)}{2}[/tex]

[tex]\displaystyle a=\frac{198\;cm^2}{2}[/tex]

[tex]\displaystyle a= 99\;cm^2[/tex]

Answer:

first aircraft=189

second aircraft=130

third aircraft=88

Step-by-step explanation:

1st = x+59

2nd = x

3rd= x-42

x + 59 + x + x - 42 = 407

3x + 59- 42 = 407

3x + 17 = 407

3x = 407 - 17

x=390÷3

=130

1st=130+59=189

2nd=130

3rd=130-42=88

Answer:

21/250

Step-by-step explanation:

Converting percentage to fraction :

Answer:

the answer is C I hope this helps

The expression after simplifying is -12x² + 6x + 6.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x - 4x² - 1 + x - 8x² + 7

Add like terms.

6x - 12x² + 6

-12x² + 6x + 6

Thus,

The final expression is -12x² + 6x + 6.

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