Find the area of a circle with a Diameter = 12 ft. Use 3.14 for π and round to 2 decimal places.

Answers

Answer 1

Given:

Diameter of circle = 12ft

pi = 3.14

Solution

The area (A) of a circle can be calculated using the formula:

[tex]\begin{gathered} A\text{ = }\pi r^2 \\ \text{where r is the radius of the circle} \end{gathered}[/tex]

Recall that the diamter (d) and radius (r) are related by the formula:

[tex]\begin{gathered} \text{radius = }\frac{diameter}{2} \\ r\text{ = }\frac{d}{2} \end{gathered}[/tex]

We can now find the radius (r) of the circle to be:

[tex]\begin{gathered} r\text{ = }\frac{12}{2} \\ r\text{ = 6 ft} \end{gathered}[/tex]

We can now find the area by the applying the formula given above:

[tex]\begin{gathered} A\text{ = }\pi\times r^2 \\ A\text{ = 3.14 }\times6^2 \\ =113.04ft^2\text{ (2.dp)} \end{gathered}[/tex]

Answer: 113.04 square feet


Related Questions

Evaluate the expression (4x^3y^-2)(3x^-2y^4) for x = –2 and y = –1.

Answers

Answer:

3x−2y)(4x+3y)

It can be written as =3x(4x+3y)−2y(4x+3y)

By further calculation =12x

2

+9xy−8xy−6y

2

So we get =12x

2

+xy−6y

2

Write an equation for the graph below in point-slope form and then solve rewrite in slope-intercept form.

Answers

We are given the graph of a line and we are asked to determine its equation in point-slope form.

The general form in slope point form of a line is:

[tex]y-y_0=m(x-x_0)[/tex]

Where:

[tex]\begin{gathered} m=\text{ slope} \\ (x_0,y_0)\text{ is apoint in the line} \end{gathered}[/tex]

to determine the slope we will use the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where:

[tex](x_1,y_1);(x_2,y_2)=\text{ points on the line}[/tex]

We will choose two points on the line from the graph:

[tex]\begin{gathered} (x_1,y_1)=(0,1) \\ (x_2,y_2)=(2,2) \end{gathered}[/tex]

Now, we plug in the values in the formula for the slope:

[tex]m=\frac{2-1}{2-0}=\frac{1}{2}[/tex]

Now, we substitute the value of the slope in the equation of the line:

[tex]y-y_0=\frac{1}{2}(x-x_0)[/tex]

Now, we plug in the first point we choose for the line:

[tex]\begin{gathered} y-1=\frac{1}{2}(x-0) \\ \\ y-1=\frac{1}{2}x \end{gathered}[/tex]

And thus we have determined the equation of the line in point-slope form.

The slope-intercept form is the following:

[tex]y=mx+b[/tex]

To convert this equation to slope-intercept form, we will take the previous equations and we will add 1 to both sides:

[tex]y=\frac{1}{2}x+1[/tex]

And thus we have determined the slope-intercept form of the equations of the line.

[tex]8.25 \div 6[/tex]8.25 divid by 6

Answers

We want to calculate the following number

[tex]\frac{8.25}{6}[/tex]

To make the calcul.ation easier, we will transform the number 8.25 into a fraction. Recall that

[tex]8.25=\frac{825}{100}[/tex]

So, so far, we have

[tex]\frac{8.25}{6}=\frac{\frac{825}{100}}{6}[/tex]

Also, recall that

[tex]6=\frac{6}{1}[/tex]

So, we have

[tex]\frac{\frac{825}{100}}{6}=\frac{\frac{825}{100}}{\frac{6}{1}}[/tex]

Now, recall that when we divide fractions, we have

[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}[/tex]

In this case, we have a=825,b=100,c=6,d=1.

So we have

[tex]undefined[/tex]

8.25 divided by 6 is 1.375

A sector of a circle has a central angle of 60∘ . Find the area of the sector if the radius of the circle is 9 cm.

Answers

Step-by-step explanation:

area of a sector is theta ÷360 ×πr²

n a recent​ poll, a random sample of adults in some country​ (18 years and​ older) was​ asked, "When you see an ad emphasizing that a product is​ "Made in our​ country," are you more likely to buy​ it, less likely to buy​ it, or neither more nor less likely to buy​ it?" The results of the​ survey, by age​ group, are presented in the following contingency table. Complete parts​ (a) through​ (c).
Purchase likelihood
Total

Total
Question content area bottom
Part 1
​(a) What is the probability that a randomly selected individual is years of​ age, given the individual is to buy a product emphasized as​ "Made in our​ country"?
The probability is approximately

0.134.
​(Round to three decimal places as​ needed.)
Part 2
​(b) What is the probability that a randomly selected individual is to buy a product emphasized as​ "Made in our​ country," given the individual is years of​ age?
The probability is approximately

Answers

a) The probability that a randomly selected individual is 45-54 years of age, given the individual is neither more nor less likely to buy is 0.206

b) The probability that a randomly selected individual is neither more nor less likely to buy, given the individual is 45-54 years of age is 0.309

c) 18-34 year olds are less likely to buy a product emphasized as "Made in our country" than individuals in general.

Hence, the answer is no.

A random sample is one that is drawn at random from the population, meaning that every member of the population has an equal chance of being picked for the sample. The probability sampling approach is the practice of choosing people at random.

a. Total number of individuals that are neither more nor less likely to purchase = 786

Total number of individuals aged 45-54 that are neither more nor less likely to purchase = 162

The probability that a randomly selected individual is 45-54 years of age, given the individual is neither more nor less likely to buy =

= Total number of individuals aged 45-54 neither more or less likely to purchase./ Total number of individuals more or less likely to purchase.

= 162/786

= 0.206

b. Total number of individuals 45-54 years of age =  524

Total number of individuals aged 45-54 that are neither more nor less likely to purchase = 162

The probability that a randomly selected individual is neither more nor less likely to buy, given the individual is 45-54 years of age

= Total number of individuals aged 45-54 neither more or less likely to purchase./ Total number of individuals 45-54 years of age.

= 162/524

= 0.309

c. The number of 18-34 year old individuals more likely to buy = 204

The total number of 18-34 year old individuals = 523

The proportion of 18-34 year old individuals more likely to buy = 204/523

= 0.390

= 39%

The total number of individuals more likely to buy = 1266

The total number of all individuals in the survey = 2123

The proportion of individuals, in general, more likely to buy = 1266/2123

= 0.596

= 59.6%

Therefore, 18-34 year olds are less likely to buy a product emphasized as "Made in our country" than individuals in general.

Hence, the answer is no.

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Your question is incomplete. Please find the missing content below.

In a recent​ poll, a random sample of adults in some country​ (18 years and​ older) was​ asked, "When you see an ad emphasizing that a product is​ "Made in our​ country," are you more likely to buy​ it, less likely to buy​ it, or neither more nor less likely to buy​ it?" The results of the​ survey, by age​ group, are presented in the following contingency table. Complete parts​ (a) through​ (c).

Purchase likelihood    18-34 35-44 45-54 55 and over Total

More likely              204   318 334              410          1266

Less likely               27           5           28               11                   71

Neither more nor less   292     210          162             122               786

Total                              523     533           524            543             2123

a) What is the probability that a randomly selected individual is 45-54 years of age, given the individual is neither more nor less likely to buy a product emphasized as "Made in our country"? The probability is approximately _____. (round to three decimal places)

b) What is the probability that a randomly selected individual is neither more nor less likely to buy a product emphasized as "Made in our country", given the individual is 45-54 years of age? The probability is approximately _____. (round to three decimal places)

c) Are 18-34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general? Yes or no  

Two functions are shown. f(x) = 29(0.5)* g(x) = 18x + 14 What is the value of f(2) + g(4)?

Answers

Answer:

93.25

Explanation:

Given the below functions;

[tex]\begin{gathered} f(x)=29(0.5)^x \\ g(x)=18x+14 \end{gathered}[/tex]

To be able to find the value of f(2) + g(4), we have to 1st determine the value of f(2) and f(4) as shown below;

[tex]\begin{gathered} f(2)=29(0.5)^2=29\ast0.25=7.25 \\ g(4)=18(4)+14=72+14=86 \end{gathered}[/tex]

Let's go ahead and find the value of f(2) + g(4);

[tex]f(2)+g(4)=7.25+86=93.25[/tex]

Tristan tried his luck with the lottery. He can win $85 if he can correctly choose the 3 numbers drawn. If order matters and there are 13 numbers in the drawing, how many different ways could the winning numbers be drawn?​

Answers

The ways to select the winning numbers is 286

How to determine the ways the winning numbers could be drawn?

From the question, we have

Total numbers, n = 13Numbers to select, r = 3

The winning numbers could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 13 and r = 3

Substitute the known values in the above equation

Total = ¹³C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 13!/10!3!

Evaluate

Total = 286

Hence, the number of ways is 286

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​​a. Create a perfect square trinomial.

b. Factor the perfect square trinomial you created in 1a.

a. Create a difference of two squares.

b. Factor the difference of two squares you created in 2a.

a. Describe at least one similarity between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.

b. Describe at least one difference between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.
A factored perfect square might look like (x+a)(x+a) or (x-a)(x-a) [or (ax+b)(ax+b) but keep it simple]. Then, distribute.

A factored difference of two squares might look like (x+a)(x-a). Then, distribute.

(pick a number for a)

Answers

1.

a. One example of a perfect square trinomial is: x² + 6x + 9.

b. The factored trinomial above is: (x + 3)².

2.

a. One example of a difference of two squares is: x² - 4.

b. The factored difference of squares above is: (x - 2)(x + 2).

3.

a. The similarity is that the first term is positive for both cases.

b. The difference is that the final term is positive for perfect square trinomials and negative for the difference of squares.

Perfect square trinomials

There are two examples of perfect square trinomials, the square of the sum and the square of the subtraction, as follows:

Square of the sum: (a + b)² = a² + 2ab + b².Square of the subtraction: (a - b)² = a² - 2ab + b².

The left side is the factored form and the right side is the expanded form.

Hence one example of a perfect square trinomial is given as follows:

(x + 3)² = x² + 6x + 9.

Difference of two squares

A difference of two squares is factored as follows:

x² - y² = (x + 2)(x - 2)

Hence one possible example is:

x² - 4 = (x + 2)(x - 2).

Compared to the perfect square trinomial, we have that:

The similarity is that the first term in any of the two polynomials will  always be positive.The difference is in the last term, for the perfect square it will always be positive (+ b²) and for the difference of two squares it will always be negative (- b²).

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Susanna has played the piano for s years. Patrick has played the piano for 4 more than twice the number of years that susanna has been playing the piano. which expression correctly shows the number of years that Patrick has been playing the piano.2s + 44s + 22 (s + 4)(s - 4) ÷ 3none of the above

Answers

Given data:

The expression for Patrick paly Piano is,

[tex]P=2s+4[/tex]

Thus, the first option is correct.

1. Consider the graph f(x) = 34. Describe how to graph thetransformation f(x – 3) + 2.

Answers

If the graph shows a constant function, the value of f(x) will always be the same no matter which value does x take. It means: to graph the transformation of this function do an horizontal translation right 3 units (which would show the same graph, basically) and then do a vertical translation up 2 units

15% of $764.69rounded to the nearest cent.

Answers

Percentage is expressed in terms of 100. To find 15% of 764.69, we would multiply ratio of 15% to 100% by 764.69. Thus, we have

15/100 * 764.69

= 114.7035

There are 6 dogs and 2 mice. Write a ratio for the number of ears to th number of paws. * 6:2 3 people are in a room. Write a ratio to represent the number of finger

Answers

each dog has 4 paws, then 6 dogs have 6*4 = 24 paws

each mouse has 4 paws, then 2 mice have 2*4 = 8 paws

Total number of paws: 24 + 8 = 32 paws

each dog has 2 ears, then 6 dogs have 6*2 = 12 ears

each mouse has 2 ears, then 2 mice have 2*2 = 4 ears

total number of ears: 12 + 4 = 16 ears

The ratio for the number of ears to the number of paws: 16/32 = 1/2 or 1:2

identify the slope: 6x - 2y = -6

Answers

Answer:

The slope = 3

Explanations:

Note that:

The slope - Intercept form of the equation of a line takes the form y = mx + c

where m is the slope and

c is the intercept

The given equation is:

6x - 2y = -6

The equation can be re-written as:

2y = 6x + 6

2y / 2 = 6x/2 + 6/2

y = 3x + 3

The slope, m = 3

The intercept, c = 3

Slope m=3
Y intercept=3

How to draw the graphs of the following non-linear functions?y=x^2 + 1y=3^x + 1

Answers

The first step is to substitute values of x into each equation.

For y = x^2 + 1,

if x = - 2, y = (- 2)^2 + 1 = 4 + 1 = 5

if x = - 1, y = (- 1)^2 + 1 = 1 + 1 = 2

if x = 0, y = (0)^2 + 1 = 0 + 1 = 1

if x = 1, y = (1)^2 + 1 = 1 + 1 = 2

if x = 2, y = (2)^2 + 1 = 4 + 1 = 5

We would plot the corresponding values of x and y on the graph as shown below

For y = 3^(x + 1),

if x = - 2, y = 3^(-2 + 1) = 3^-1 = 0.33

if x = - 1, y = 3^(-1 + 1) = 3^0 = 1

if x = 0, y = 3^(0 + 1) = 3^1 = 3

if x = 1, y = 3^(1 + 1) = 3^2 = 9

if x = 2, y = 3^(2 + 1) = 3^3 = 27

We would plot the corresponding values of x and y on the graph as shown below

algebra 2 question..

Answers

We are supposed to solve the equation

[tex]6(2x-1)-12=3(7x+4)[/tex]

Here, we need to apply the distributive laws on both sides.

Comment: The distributive laws say that

[tex]a(b+c)=ab+ac\text{ and }(b+c)a=ba+ca[/tex]

Using this comment we get

[tex]6(2x-1)=6(2x)+6(-1)=12x-6[/tex][tex]3(7x+4)=3(7x)+3(4)=21x+12[/tex]

Then, our equation becomes

[tex](12x-6)-12=21x+12[/tex][tex]12x-18=21x+12[/tex]

Now, let's apply the rule: terms with x on the right-hand side, and the rest on the left-hand side, to obtain

[tex]-18-12=21x-12x[/tex][tex]-30=9x[/tex][tex]x=\frac{-30}{9}=-\frac{10}{3}[/tex]

Solve the problem. Use 3.14 as the approximate value of pie

Answers

The volume of a cylinder is calculated using the formula:

[tex]V=\pi r^2h[/tex]

where r is the radius of the cylinder and h is the height.

From the question, we have the following parameters:

[tex]\begin{gathered} diameter=4.8 \\ \therefore \\ r=\frac{4.8}{2}=2.4 \\ and \\ h=6.66 \end{gathered}[/tex]

Therefore, we c n calculae tehe volume of a cylinder to be:

[tex]\begin{gathered} V=3.14\times2.4^2\times6.66 \\ V=120.455424 \end{gathered}[/tex]

For four cylinders, the combined volume will be:

[tex]\begin{gathered} V=120.455424\times4 \\ V=481.821696 \end{gathered}[/tex]

The volume i 481 .82 cubic inches.

Use the remainder theorem to find P (1) for P(x) = 2x - 3x' + 3x -3.Specifically, give the quotient and the remainder for the associated division and the value of P (1).미미2Quotient = 0Х$2Remainder =0P(1) =

Answers

Using the remainder theorem, we must find P(1) for:

[tex]P(x)=2x^4-3x^3+3x-3[/tex]

1) Because we want to evaluate P(x) for x = 1, we must compute

[tex]\frac{2x^4-3x^3+3x-3}{x-1}[/tex]

2) Now we make the synthetic division by putting a 1 in the division box:

The remainder from the division is:

[tex]R=-1[/tex]

The quotient of the division is:

[tex]2x^3-x^2+2x+2[/tex]

3) From the synthetic division we get a remainder R = -1, applying the Remainder Theorem we get that:

[tex]P(1)=R=-1[/tex]

Summary

The answers are:

1)

[tex]Quotient=2x^3-x^2+2x+2[/tex]

2)

[tex]Remainder=-1[/tex]

3)

[tex]P(1)=-1[/tex]

A friend plans to purchase a 72-inch tv at a particular store for a cost of $1500. The store is offering 25% off any one item. He also has an internet coupon for an additional 10% off any discounted price. How much will your friend save (a) in dollar amount and (b) in percent?

Answers

the The Solution.

The marked price of the 72-inch TV = $1500

25% discount makes the actual discount to be:

[tex]\begin{gathered} \text{Actual Discount = 25 \% of 1500} \\ \text{ = }\frac{25}{100}\times1500=\text{ \$375} \end{gathered}[/tex]

So, the discounted price will now be

Discounted price = 1500 - 375 = $1125

He has an additional 10% internet coupon discount on already dicounted price ($1125) .

[tex]\begin{gathered} \text{Additional discount = 10\% of 1125} \\ \text{ =}\frac{10}{100}\times1125=\text{ \$112.50} \end{gathered}[/tex]

a. The friend will save

[tex]\begin{gathered} 375+112.50 \\ =\text{ \$487.50} \end{gathered}[/tex]

b. in percentage, he saved

[tex]\frac{487.5}{1500}\times100=32.5\text{ \%}[/tex]

Therefore, the correct answers are:

a. $487.50

b. 32.5%

12. A teacher weighed 148 lbs. in 1999 and weighs 190 lbs. In 2020. What was the rate ofchange in weight?

Answers

Given,

The weight of the teacher in 1999 is 148 lbs.

The weight of the teacher in 2020 is 190 lbs.

The rate of change in weight is,

[tex]\begin{gathered} \text{Rate of change=}\frac{190-148}{2020-1999} \\ =\frac{42}{21} \\ =2 \end{gathered}[/tex]

The teacher gained 2 pounds per year.

Hence, option A is correct.

question 5 only. determine the missing side length QP. the triangles are not drawn to scale.

Answers

This is a simple question.

First, we can see both triangles are proportional, it means it has the same relation between its sides even if one is in a large scale and the other on a a small scale.

Now we can identify which side corresponds to which side. Once side AC is the longest one for triangle ABC it means its equivalent for triangle PQR is the side RP, so the equivalent for side AB is side QP. Once we know that we can write the following relation and calculate:

Solve the inequality for x and identify the graph of its solution.|x+ 2] < 2Choose the answer that gives both the correct solution and the correct graph.

Answers

| x + 2 | < 2

-2 < x + 2 < 2

-2 - 2 < x + 2 < 2 - 2

-4 < x < 0 This is the inequality

Letter B is the right choice.

What is the product of 11/12 and its reciprocal?

Answers

Answer:

The product of 11/12 is 0.916.This as as a fraction would be 0.916/1.00. This means it's reciprocal is 1.

Step-by-step explanation:

The reciprocal is basically the bottom part, denominator, of the fraction, being siwtched to on top of the fraction (numerator, and vice versa. The fraction would be 0.916/ 1.00 because the closest whole number to 0.916 is 1, meaning the fraction would be 0.916 out of 1. DO NOT MISTAKE THIS FOR 100. When you do the final step, finding the recirprocal of 0.916/1.00, we siwtch the numerator and denominators position, making out answer:

The product of 11/12 is 0.916 which is 0.916/1.00 in fraction form. The reciprocal of this is 1.00/0.916. Hope this helped!

.Find the area of the sector with radius 4 and central angle, ∅= 45°

Answers

Remember that the formula for the area of a sector is:

[tex]A=\frac{\pi\cdot r^2\cdot\theta}{360}[/tex]

Where:

• r, is the radius

,

• Theta ,is the central angle (in degrees)

Using this formula and the data given,

[tex]\begin{gathered} A=\frac{\pi\cdot4^2\cdot45}{360} \\ \rightarrow A=2\pi \end{gathered}[/tex]

I got the picture and will send it to you show the coordinates of the points that create the shape of the image

Answers

We have the following:

[tex]\begin{gathered} P(1-1,-3+3)\rightarrow P^{\prime}(0,0) \\ Q(3-1,-1+3)\rightarrow Q^{\prime}(2,2) \\ R(4-1,-3+3)\rightarrow R^{\prime}(3,0) \end{gathered}[/tex]

now,

The answer is:

what is the area of a triangle with the legth of 8in,12in,6in

Answers

Area is

[tex]A=\frac{1}{2}bh=\frac{1}{2}\times6\times8=\frac{48}{2}=24[/tex]

answer: 24 sq in

Calculate the average rate of change for the function f(x) = 3x4 − 2x3 − 5x2 + x + 5, from x = −1 to x = 1.

a
−5

b
−1

c
1

d
5

Answers

Average rate of change for the function f(x) = 3x⁴ -2x³ -5x² +x +5 from

x =-1 to x=1 is equal to -1.

As given in the question,

Given function :

f(x) =  3x⁴ -2x³ -5x² +x +5

Formula for average rate of change for (a, f(a)) and (b, f(b))

[f(b) -f(a)] / (b-a)

Substitute the value of a=-1 and b=1

f(-1)=3(-1)⁴ -2(-1)³-5(-1)² +(-1) +5

     = 3+2-5-1+5

     =4

f(1)=3(1)⁴ -2(1)³-5(1)² +(1) +5

    = 3-2-5+1+5

    = 2

Average rate of change = (2-4)/(1-(-1))

                                        = -2/2

                                        =-1

Therefore, average rate of change for the function f(x) = 3x⁴ -2x³ -5x² +x +5 from x =-1 to x=1 is equal to -1.

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Can you Help me with this i cannot do ir

Answers

To translate f(x) 4 units down we subtract 4 from f(x):

[tex]f(x)-4.[/tex]

Now, to reflect f(x)-4 over the x-axis we multiply by -1:

[tex]-1(f(x)-4)=-f(x)+4.[/tex]

Answer:

[tex]g(x)=-\sqrt[3]{x-2}+4.[/tex]

An object is dropped from 27 feet below the tip of the pinnacle atop a 1471-ft tall building. The height h of the object after t seconds is giveh= - 16t^2 + 1444. Find how many seconds pass before the object reaches the ground.How many seconds pass before the object reaches the ground

Answers

The Solution:

Given:

[tex]h=-16t^2+1444.[/tex]

We are required to find t when h = 0.

[tex]\begin{gathered} -16t^2+1444=0 \\ \\ -16t^2=-1444 \end{gathered}[/tex]

Divide both sides by -16.

[tex]t^2=\frac{-1444}{-16}=90.25[/tex][tex]\begin{gathered} t=\sqrt{90.25} \\ \\ t=9.5\text{ or }t=-9.5 \end{gathered}[/tex]

Thus, the correct answer is 9.5 seconds.

(8-4) mulitiply (3-2)=

Answers

answer to this question is 4

determine the solution,if it exists,for each system of linear equation. Verify your solution on the coordinate plane. x + 3 = y 3x + 4y = 7

Answers

[tex]\begin{gathered} \begin{bmatrix}x+3=y \\ 3x+4y=7\end{bmatrix} \\ \end{gathered}[/tex][tex]\begin{gathered} x+3=y \\ x+3-3=y-3 \\ x=y-3 \end{gathered}[/tex]

then

[tex]\begin{gathered} 3\mleft(y-3\mright)+4y=7 \\ 3y-9+4y=7 \\ 7y-9=7 \\ 7y-9+9=7+9 \\ 7y=16 \\ \frac{7y}{7}=\frac{16}{7} \\ y=\frac{16}{7} \end{gathered}[/tex]

replacing in x

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5. Kara earns a 3.5% commission on all sales made by recommendations to the hair salon. If the total amount of sales from referrals by Karo was $3,670, how much did Kara make? Now read the question sooner passes an electric current through a sample of clear odorless colorless liquid as the experiment continues bubbles form and the volume of liquid and decreases soon eclectic samples of two colorless odorless gases that bubble out of the liquid one of these gases burn neither of neither the original nor the other gas burns which is the best explanation of her results Solve the inequality a < 5 and write the solution using: Inequality Notation: Anjelah took a hike.She finished in 2 hours and 47 minutes.If she started at 10:15 A.M.,what time did she finish? I need some kind of tutor really smart on math find the missing values in the figure below ( I need help as soon as possible only have 5 minutes available) QUESTION 1How many molecules of C6H12O6 are in 200. grams of C6H1206? Find the ends of the major axisand foci.49x2 + 16y2 = 784Major axis (0,+[? ]) which of the equation below could be the equation of this parabola Look at the diagram. Calculate the Rf value for sample 7. Give your answer to two decimal places. after completing the experiment, a student extracts a sample of calcium carbonate with a mass of 0.818 grams from an antacid tablet that claims to have 1000 mg of calcium carbonate. what is the percent error in this student's experiment? round your answer to two decimal places. correct! 18.2 8. A plane uses a certain amount of fuel based on the number of miles it travels as shown in thetable.Miles Traveled 0 30 60 90 120Gallons of Fuel0156312468624a. What is the slope of the table, and what does it mean in the situation?b. What is the y-intercept of the table, and what does it mean in the situation?c. Write an equation for the table. Write formulas or names as appropriate for each of the following ionic compounds. 1. Magnesium nitride 6. SrI2 2. Lithium oxide 7. Ba3(PO4)2 3. Aluminum sulfite 8. (NH4)2O 4. Copper(II) bicarbonate 9. Fe(ClO)3 5. Sodium nitrate 10. ZnCrO4 xyz company goes public at a public offering price of $31. several days later, the stock has increased to $43. if the underwriters decides to exercise the greenshoe clause, what price will investors pay for those shares? Type the correct answer in each box, 5 4 3 2. 1 -5 -3 -2 -1 2 3 6 5 -1 -2 3 -4 5 The equation of the line in the graph is y= ghts reserved Drag each number to the correct location on the statements. Not all numbers will be used. Consider the sequence below. --3, -12, -48, -192, ... Complete the recursively-defined function to describe this sequence. f(1) =...... f(n) = f(n-1) .....for n = 2, 3, 4... 3, 2, 3, 4, 12, -4 A spring with a spring constant of 52N/m sits on a desk. The spring is 34cm long. A block of mass 0.12kg is placed on top of the spring. How high above the desk does the block rest? Please help please help I have question 3 and need to know a b and c If there are 78 questions on a test , how many do you have to get correctly to get an 84 % or better on the exam ?