A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 ​inches?

Answer:

Step-by-step explanation:

Given:

The expression is

\(\dfrac{12y^3-6y^2}{2y-1}\), where \(y\neq \dfrac{1}{2}\).

To find:

The simplified form of the given expression.

Solution:

We have,

\(\dfrac{12y^3-6y^2}{2y-1}\)

Taking out the common factors from the numerator, we get

\(\dfrac{12y^3-6y^2}{2y-1}=\dfrac{6y^2(2y-1)}{2y-1}\)

Cancel out the common factors from numerator and denominator.

\(\dfrac{12y^3-6y^2}{2y-1}=6y^2\)

Therefore, the simplified form of the given expression is \(6y^2\).

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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Since a kite is a quadrilateral, it has the value of 360 total degrees.

To solve a system of equations by elimination, we need to add or substract one equation to the other.

In this case, we can see that we have a single y in the two equations, then if we substract the first by the second, the y will be eliminated:

But, the two equations are equal, then we get a situation:

The solution is 0 = 0, or we say that the system has infinite many solutions. Also, this kind of systems are called dependant

Answer:

17% off a $35 dresser

Step-by-step explanation:

Answer:

B. (3,-6) and (7,-6)

Step-by-step explanation:

because when the slope is zero the y's should be the saem, for it's a straight horizontal line.

2(cos2x - sin2x)

Step-by-step explanation:

Y = sin2x + cos2x

Differentiate wrt x

dy/dx = cos2x . 2 - sin2x . 2

= 2(cos2x - sin2x)

The downloads of the standard version were S=520 for a total download size of 2504 MB.

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign =. In French, an equation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions coupled with an equals sign.

Let's call the number of standard version downloads (S) and high quality downloads (H).

Number of tracks downloaded: S + H = 760

Download size: 2.6(S) + 4.8(H) =2504

S and H will be the same in both equations.

To determine S, we can rewrite the first line as H = 760 - S.

Then, wherever you see a H in the second equation, substitute or put in (760 - S) so that your equation contains only S.

2.6(S) + 4.8(760 - S) = 2504

2.6S +3648 - 4.8S = 2504

-2.2S = -1144

S =520

Therefore, the downloads of the standard version were S=520

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The probability that a random adult has a high school degree or some college, but has no college degree is 53. 50 % .

The number of adults with some high school degree or some college would be :

= 3, 561 + 6, 058

= 9, 619 people

The probability that a random adult would have high school degree or some college is therefore :

= Adults with high school degree or some college / Total adults in the town

= 9, 619 / 17, 981

= 53. 50 %

In conclusion, the probability is 53. 50%.

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Answer: 3,965,481

Step-by-step explanation:

Given:  In 2016, the Maricopa County population is approximately 3.817 million.

i.e. Initial population= 3.817 million =3,817,000

Of the population increases from the current population by 3.89 % over the next 5 years,

Population increased = 3.89% of 3,817,000

= 0.0389 (3817000)

= 148481.3 ≈ 148481

Population in 2021= 3,817,000 +148,481 =3,965,481

Hence, the population in 2021 =  3,965,481

Population in 2021 is 4.6185 million

Given that;

Population in 2016 = 3.817 million

Growth rate of population = 3.89% = 0.0389

Number of year = 5 year

Find:

Population in 2021

Computation:

Population in 2021 = 3.817[1+0.0389]⁵

Population in 2021 = 3.817[1.0389]⁵

Population in 2021 = 3.817[1.21]

Population in 2021 = 4.6185 million

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Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)

\( \large \sf \: → x +38° + 75° = 180°\)

\( \large \sf \: → x + 113 = 180°\)

\( \large \sf→ x = 180°- 113°\)

\( \boxed{\large \bf→ x = 67° }\)

Answer:

200.96

Step-by-step explanation:

A = 3.14r²

A = 3.14×64

A = 200.96

Answer:

36 mph

Step-by-step explanation:

d = rt

d = (x)(3.6)

d = (x-4)(4)

3.6x = 4x - 16

-0.4x = -16

x = 40

Her speed was 40 on Thursday, so 36 on Friday

The speed of Debbie on Friday is 36 miles per hour.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Let d be the distance of her mother's house.

Let x be the speed of Debbie on Thursday.

x = d / 3.6

⇒ d = 3.6x

Speed on Friday = x - 4

Speed on Friday = d / 4

d / 4 = x - 4

⇒ d = 4 (x - 4)

Equating both the equations of d, we get,

4(x - 4) = 3.6x

4x - 16 = 3.6x

4x - 3.6x = 16

0.4x = 16

x = 40

Speed of Debbie on Thursday = 40 mile per hour

Speed of Debbie on Friday = 40 - 4 = 36 mile per hour

Hence the speed of Debbie on Friday is 36 miles per hour.

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The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.

We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.

Given:

First side=x+y

second side= 2x+4

third side=3x+y

An equilateral triangle has three equal sides, hence the following equations can be constructed:

x + 1 = 2x + 4

2x + 4 = 3x + y

Let's tackle each of these equations separately:

x + 1 = 2x + 4

We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:

x + 1 - x = 2x + 4 - x

1 = x + 4

By taking 4 away from both sides, we arrive at:

1 - 4 = x + 4 - 4 , -3 = x

Therefore, x has been determined to be -3.

Now, substitute the value of x in the second equation:

2x + 4 = 3x + y

2(-3) + 4 = 3(-3) + y

-6 + 4 = -9 + y

-2 = -9 + y

y = -2 + 9

y = 7

So, we determined that y has a value of 7.

As a result, the values of x and y are, respectively, x=-3 and y=7

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Answer:

Step-by-step explanation:

In an equilateral triangle all sides are equal.

So each of these sides (and their equations are equal to each other.)

To find x - set the first two (as they only involve x) equal to each other and solve.

x + 1 = 2x + 4

x -x + 1 = 2x - x + 4

1 = x + 4

1- 4 = x + 4 - 4

-3 = x

Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.

3(x) + y = x + 1

3(-3) + y = -3 + 1

-9 + y = -2

-9 + 9 + y = -2 + 9

y = 7

so x = -3 and y equal 7

Answer:

Factors: (x²y+6)(y²-11)

Step-by-step explanation:

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So  (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!

If the function is f(x) = g(x). Then the value of the variable 'x' will be negative 1.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = - 2x + 2 and g(x) = 4x + 8

If the value of both functions is the same. Then the value of 'x' is given as,

g(x) = f(x)

4x + 8 = - 2x + 2

4x + 2x = 2 - 8

6x = - 6

x = - 1

If the function is f(x) = g(x). Then the value of the variable 'x' will be negative 1.

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Answer:

Step-by-step explanation:

x  f(x) g(x)

-2  6   0

-1   4   4

0   2   8

1    0   12

I took the test

Answer: n is 3

Step-by-step explanation: As you multiply 4 and 160 you'll end up with 640 then add n which then adds to 643. This indicates that n is 3.

Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

Answer:

108°

Step-by-step explanation:

The sum of a quadrilateral is 360 degrees.

110+52+90(right triangle)=252

360-252=108

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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Answer: 0.231392

Step-by-step explanation:

Answer: .231392

you can use a calculator right?

Answer:

I think we could use pemdas for this

Step-by-step explanation:

parenthesis

exponents

multiply

divide

add

subtract

multiply 9 and 3 would probably be best

Answer:

add -15 and 9

Based on this information the approximate maintenance dose that can be administered to the child to  achieve 100 mg daily of the medication is  as follows for:

The question states that the 12-year-old child  be administered 100 mg daily the medication is available in 10, 25 and 50 mg tablets.

to achieve 100 mg daily dose

1 tablet = 10 mg

10 mg *10tablets = 100 mg

to achieve 100 mg daily dose

1 tablet = 25 mg

10 mg *4tablets = 100 mg

to achieve 100 mg daily dose

1 tablet = 50 mg

10 mg * 2tablets = 100 mg

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Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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