Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y=\(\frac{9}{x^2} + 2\)

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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Answer:

B

Step-by-step explanation:

B show the coordinates (100, 12) as it is asking in the question

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

y = x² + 8x + 16

Step-by-step explanation:

blue square = x × x = x²

green rectangle = 4 × x = 4x

yellow square = 4 × 4 = 16

Let y = total area of the square

⇒ y = blue square + green rectangle + green rectangle + yellow square

       = x² + 4x + 4x + 16

       = x² + 8x + 16

Area:-

Answer:

0.181818

Step-by-step explanation:

There are total 11 candies. The possibility of combinations is 165 which is found by using computation technique 11C3. It is assumed that order does not matter. There are 3 pieces of candy are selected at random. There are 6C2 which is 15 different ways to select cherry and lemon. There are 30 ways to choose 2 cherry and a lemon combination. The probability is \(\frac{30}{165}\) = 0.181818

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Answer:

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

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

160

Step-by-step explanation:

4x5=20.

20×8=160

l×w×h.

Answer:

the medain is the answer

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

Answer:

See below.

Step-by-step explanation:

Are you sure it's 4 liters to 250 miles, and not 4 liters to 250 milliliters?

If it is 4 liters to 250 miles, then it equals

0.016 liter : 1 mile

If it is 4 liters to 250 ml, then it is

4 liters : 250 ml

4 liters : 0.25 liter

16 liters : 1 liter

16 : 1

Answer:

C is da answer

Step-by-step explanation:

Answer:

never seen such big horror

but I think it D using logic

Sales of Statin on January 1, 2008 was 22.2 billion dollars; and the year that the Statin sales reached 25.6 billion dollars was in 2010.

Given:

S = 1.7 x + 5.2 .............................. (1)

Sales of statin on January 1, 2008 can be calculated as follows:

x = 2008 - 1998 = 10

Substituting x = 10 into equation (1), we have:

S = (1.7 * 10) + 5.2

S = 17 + 5.2

S = 22.2

The answer above implies that sales of Statin on January 1, 2008 was 22.2 billion dollars.

The year that the Statin sales reached 25.6 billion dollars can be calculated as follows:

S = 25.6

Substituting S = 25.6 into equation (1) and solving for x, we have:

25.6 = 1.7x + 5.2

25.6 - 5.2 = 1.7x

20.4  = 1.7x

x = 20.4 / 1.7

x = 12

Therefore, we have:

The year Statin sales reached 25.6 billion = 1998 + x = 1998 + 12 = 2010

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The sales of Statin on January 1, 2008 is 22.2 billion dollars and the year statin sales reached 25.6 billion was in 2010

Linear functions are equations that has a leading degree of 1.

Given the expression that represents amount of sales, S , of statin (in billions of dollars) x years after January 1, 1998 as;

S = 1.7 x + 5.2

For the sales of statin on January 1, 2008, this is calculated as

x = 2008 - 1998 = 10years

Substitute x = 10 into the given equation to have;

S = 1.7(10) + 5.2

S = 17 + 5.2

S = 22.2

Therefore the sales of Statin on January 1, 2008 is 22.2 billion dollars.

For the year that the Statin sales reached 25.6 billion dollar;

S(x) = 25.6

Substituting S = 25.6 into the equation

25.6 = 1.7x + 5.2

1.7x = 25.6 - 5.2

1.7x = 20.4

x = 12

Hence the year statin sales reached 25.6 billion was in 2010

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

The number of stocks that went up yesterday given the stocks that went down yesterday is 618.

Ratio is used compare two or values together. It shows the number of times that one value is contained in another value or values. According to the information provided in the question,  the ratio of stocks that go up and the stock that goes down is 6 : 7.

The number of stocks that went up yesterday = (ratio of stocks that went up x number of stocks that went down yesterday) / ratio of stocks that went down yesterday

The number of stocks that went up yesterday =(6 x 721) / 7 = 618

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Answer:

volume = 483 cm³

Step-by-step explanation:

area of trapezoid = 1/2(6 + 17)(8.4) = 96.6 cm²

volume = 96.6 x 5 = 483 cm³

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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The factor when Bradley is trying to find a missing factor a product is odd.

From the information given, the product of that factor has a ones digit = 3. From the information, we have to find whether the missing factor is even or odd.

We know that, the product of two odd numbers is odd. The product of two even numbers is even.

The product of one even and one odd number is even.

If one digit of a number is odd then the number must be odd.

It means factors of odd numbers are odd.

If the product of that factor has 3 in the ones digit then, the missing factor will be odd.

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Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

Answer:

A, B, and E. Hope this helps!

i need more characters lol ahjkffhewqjfe

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Answer:

The answer should be like this;

a) A-B

b) BUC

c) C-A

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

Answer:

1.05

Step-by-step explanation:

example sec x=1/cos x

sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05

Hope it helps

The perimeter is 21.66

The figure is something like the one that is in the image below:

We want to find the total perimeter of the polygon ABECD

This will be:

AB + BE + EC + CD + DA

Remember that for a triangle rectangle of catheti A and B, the area is given by:

A*B/2

We know that the sides of the triangle rectangle are:

BE, EC, BC.

Because BE = EC, these can not be the hypotenuse of the triangle, then the catheti are BE and EC

Knowing that the area of the triangle rectangle is 8, we can write:

EC*BE/2 = 8

and EC = BE = x

x^2/2 = 8

x^2 = 8*2 = 16

x = √16 = 4

Then the two catheti of the triangle rectangle are 4 units long.

EC = 4

BE = 4

and we know that:

AB = BE = EC

then:

AB = 4

and because this is a rectangle, we also have:

DC = AB = 4

now we want to find the last side of the figure, AD,

Which we already know is equal to the hypotenuse of the triangle.

Remember the Pythagorean's theorem, which says that the sum of the squares of the catheti is equal to the square of the hypotenuse.

Both catethus are equal to 4, then we have:

H^2 = 4^2 + 4^2 = 32

H = √32 = 5.66

then:

DA = 5.66

Now we have:

AB = BE = EC = DC = 4

DA = 5.66

Then the perimeter is:

AB + BE + EC + CD + DA

4 +  4 + 4 + 4+ 5.66 = 21.66

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Answer:

(d) 18 in.

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P = 2 + 6 + 10

P = 8 + 10

P = 18

Thus, the perimeter of the triangle is 18 in.