Find the surface area of the following cylinder.

Round your answer to the nearest square centimeter.

The given quadratic function for the restaurant sales indicates that the sale first reduces then increases.

Reasons:

The function for the sales in the restaurant is y = 3·x² + 3.2·x + 514

Where;

y = Sales in billions of dollars

x = Number of years since 2008

Required:

The year in which the restaurant industry food and drink sales will be $1212 billion.

Solution:

When the food and drink sale is $1212 billion, we have;

1212 = 3·x² + 3.2·x + 514

Which gives;

3·x² + 3.2·x + 514 - 1212 = 0

3·x² + 3.2·x - 698 = 0

Factorizing with a graphing calculator gives;

(x + 15.796)·(x - 14.729) = 0

x = -15.796, or x = 14.729

The time will have a natural number value, therefore the positive value of x

= 14.729 is used.

Therefore, the number years since 2008 at which the restaurant sales will

be $1212 billion is approximately 15 years.

The year at which the sales will be $1212 billion = 2008 + 15 = 2023

Learn more here:

https://brainly.com/question/10929029

Answer:

If we substitute a and b to equal 6 for example

it would be

√

6

2

+

6

2

it would equal 8.5(1.d.p) as it would be written as

√

36

+

36

giving a standard form as

√

72

However if it was

√

6

2

+

√

6

2

it would equal 12 as the

√

and

^

2

would cancel out to give the equation 6+6

Therefore

√

a

2

+

b

2

cannot be simplified unless given a substitution for a and b.

I hope this isn't too confusing.

Step-by-step explanation:

Answer: Is 6

Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?

Answer:

Step-by-step explanation:

ΔABE ~ ΔACD

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]

Cross multiply,

2*(9+x) = 3*9

2*9 + 2*x = 27

18 + 2x = 27

       2x = 27 - 18

       2x = 9

          x = 9/2

x = 4.5

Answer:

Z and X is incorrect

Answer:

They intersect 4 times.

Step-by-step explanation:

When graphed, the first equation is a circle with a center resting at (0,0)

The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)

Answer:

Step-by-step explanation:

Old weight = 60 pound

New weight = 80 pound

Finding:

Percent of increase in weight

Therefore:

Percent of expansion in weight = [(New weight - old weight)/Old weight]100

Percent of expansion in weight = [(80 - 60)/60]100

Percent of expansion in weight = [(20)/60]100

Percent of expansion in weight = 33.33% Approx.

Answer:

11

Step-by-step explanation:

to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11

=121, the answer is 11

Answer:

11 in.

Step-by-step explanation:

The canvas has the shape of a square.

The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.

You are given the area. You need to find the side.

The area is the square of the side, so the side is the square root of the area.

side = √area

side = √(121 in.²)

side = 11 in.

Answer:

y= (2/3)-(1/2)

= (4-3)/6

= 1/6

=> A

Step-by-step explanation:

Step-by-step explanation:

1.75×13

=22.75

that means You can afford 13 pencils

Answer:

70/10 = 7

70/7 = 10

10-7 = 3

There are 3 more teams would the counselor make if he divides the students into teams of 7.

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.

It is given that:

There are 70 students at a summer camp.

A counselor divides the students into teams of 10.

Let x be the total number of members in the final team:

For the first division = 70/10 = 7

= 70/7 = 10

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

x = 10 - 7 = 3

Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.

Learn more about the fraction here:

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#SPJ2

Answer:

1:15

Step-by-step explanation:

4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)

Answer:

15%

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Given the inequality statement: 5 + 8x < 3(2x + 4):

We must solve for the solution of the given inequality statement.

First, distribute 3 into the parenthesis:

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Next, subtract 6x from both sides:

5 + 8x - 6x < 6x - 6x + 12

5 + 2x < 12

Then, subtract 5 from both sides:

5 - 5 + 2x < 12 - 5

2x < 7

Divide both sides by 2 to solve for x:

[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]

[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]  

Since  [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that   [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint.  This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).

Therefore, the correct answer is Option D.

Step-by-step explanation:

sum of three angles in a triangle is 180

55+35+x=180

90+x=180

x=180-90

x=90

Answer:

Step-by-step explanation:

101 degrees

Answer:

$1200

Step-by-step explanation:

Since he's paying $100 on a 12 month plan, you do

100 * 12 = 1200

In total he's paying $1,200.

Answer: 1200

Step-by-step explanation: Hope this helps :)

Answer:

A.25×5×8=960

B.15×7×14=1610

C.5x39×8=1290

D.12×20×4=1124

Step-by-step explanation:

yan po hirap

Answer and Step-by-step explanation:

This equation is linear because the slope is changing at a constant rate.

Write in standard form:

Standard form on an equation is written like so: Ax + By = C

First combine the y-values.

12x = -3y

Now add 3y to both sides of the equation.

12x + 3y = 0   <-- This is the answer (equation) in standard form.

#teamseas #PAW (Plant And Water)

I hope this helps!

Answer:

Step-by-step explanation:

For the first throw the probability that it does not land on four should be .35 not .25

On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)

Answer:

after 13 hours

Step-by-step explanation:

Since the monthly fee is $4.25

so

● $4.25 + ( 2.75 × Number of hours) = 40

● ( 2.75 × Number of hours) = $40 - $4.25

● 35.75/ 2.75 = 13

Answer:

1/345 or 0.00289855 (for 1/5 / 69)

I feel like you're most likely talking about 69 / 1/5 which is 345

Try looking at the problem you are doing again :)

Answer:

0.00289855072

Step-by-step explanation:

1÷5 = 0.2

0.2 ÷ 69 = 0.00289855072

Answer:

Variable Costs

Step-by-step explanation:

Imagine that you are taking a taxi while on vacation. You know that the taxi service charges $9 to pick your family up from your hotel and another $0.15 per mile for the trip. So you simply make an equation as y = 0.15x+9. Math is also used in stocks we use math daily in our life, calculating prices for something we use basic multiplication and addition almost everyday.

Answer:

ñ

Step-by-step explanation:

ñ

12

Hope it helps!!!!!!!

Answer:

x = 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

4x+2=(2)(x)+(2)(6)(Distribute)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]

Result:

x = 5

Answer:

9.51

Step-by-step explanation:

9 x 1 is equal to 9

5 x 1/10 is equal to 5/10 which is also 0.5

1 x 1/100 is equal to 1/100 which is also 0.01

Answer:

63°

Step-by-step explanation:

Angle sum property = 180°

=> 19 + 98 + x = 180

=> x = 180 - 117 = 63°

Answer:

Step-by-step explanation:

Given,

Measurement of one angle of a triangle = 19°

Measurement of 2nd angle of the triangle = 98°

Let,

The third angle be = x

As we know,

Sum of all the angles of a triangle is 180°

Therefore,

By the problem,

=> 19° + 98° + x = 180°

=> x = 180 - 98 - 19

=> x = 63

Hence,

The measurement of 5he third angle of the triangle is 63° (Ans)

Answer: C

Step-by-step explanation: Depositing is the act of putting money inside the bank account usually to gain interest.

If John started with $75, you add his deposit ($7) which comes out to 82. Then add 82+7 which equals 89 and so on.

75+7= 82

82+7= 89

89+7= 96

96+7= 103

Answer: is the C

Step-by-step explanation:

bank account: 75$

1st week:75

2nd week:82

3rd week:89

4th week:96

5th week:103