In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of
4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell
this year?

Step-by-step explanation:

[tex] = \frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[tex] = \frac{ {6}^{8} ( {6} + 1)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8 + ( -9)} )} [/tex]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{ - 1} )} [/tex]

[tex] = {6}^{8} \times 7 \times 6[/tex]

[tex] = {6}^{9} \times 7[/tex]

In exponential form:

[tex] = {6}^{9} \times {7}^{1} (ans)[/tex]

In numerical form:

70,543,872 (Ans)

[tex] \huge \: \bf \: Question:—[/tex]

[tex] \sf \longmapsto6^9+6^8)/(6^8 \times 6^{-9})[/tex]

[tex]\huge\bf Solution:—[/tex]

[tex]\sf \longmapsto \: \dfrac{ {6}^{9} + {6}^{8} }{ {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \dfrac{10077696 + {6}^{8} } { {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \dfrac{10077696+1679616}{ {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \: \dfrac{11757312}{{6}^{8} \times {6}^{ - 9}} [/tex]

[tex]\sf \longmapsto \dfrac{11757312}{1679616(6 {}^{ - 9} )} [/tex]

[tex] \boxed{\bf \: As \: a^{-n} = 1/a(n) \: ,}[/tex]

[tex]\sf \longmapsto \dfrac{11757312}{1679616 \bigg(\dfrac{1}{10077696} \bigg )} [/tex]

[tex]\sf \longmapsto \dfrac{11757312}{ \dfrac{1}{6} } [/tex]

[tex]\sf \longmapsto \: \: 70543872[/tex]

[tex] \boxed{\bf \: \: \: Convert\: 70543872 \: to\: scientific \: notation}[/tex]

[tex] \sf \longmapsto \: 7.0543872 × 10 {}^{7} [/tex]

[tex]\boxed{ \bf \: \: Convert\: 70543872 \: to\: exponent}[/tex]

[tex]\sf\longmapsto {6}^{9} \times 7 [/tex]

_________________________________

[tex] \boxed{\bf \: Answer\: in\: Number}:—[/tex]

[tex] \boxed{\bf \: 70543872}[/tex]

[tex]\boxed{ \bf \: Answer\: in\: Exponent:—}[/tex]

[tex] \boxed{\bf \: {6}^{9} \times 7}[/tex]

[tex]\boxed{\bf Answer\: in\: Scientific\: Notation:—}[/tex]

[tex]\boxed{ \bf \: 7.0543872 × 10 {}^{7} }[/tex]

Answer:

g(x)= 1

Step-by-step explanation:

[tex]g(x) = \frac{1}{2} x - 4 \\g(10) = \frac{1}{2} (10) = 5 \\ 5 - 4 = 1[/tex]

Answer:the slope of the line is 5/3

The y-intercept is 0

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

Given function:-

Degree of the given function is the highest power of the variable.

We have variable x there.

So, we can say:

Degree = 6 ( an even degree)

And leading coefficent is the coefficent of highest power term.

We have highest power term is 2x^6.

So, the leading coefficent is : 2 (Positive number)

For even degree and positive leading coefficent, end behaviour is

x --> ∞  f(x) = +∞

x-->-∞   f(x) = +∞

Answer:

4 Trust me

Step-by-step explanation:

Answer:

7s.

Step-by-step explanation:

2s - s + 6s (Given)

Rembember that - s is the same as - 1s because there is an invisible 1.

So, 2s - 1s =  1s or s.

1s + 6s = 7s.

2s - s + 6s (Given)

7s (Combine like terms)

Answer:

Step-by-step explanation:

Answer:

1. vertical angles

2. Adjacent angles

3. Supplementary angles

Step-by-step explanation:

" the quotient " means divide

(n/6) - 1 <== ur expression

Answer:

8

Step-by-step explanation:

sqrt((x-1)/2)^2))=3.5

square root and squared cancel out

(x-1)/2 = 3.5

x-1 = 7

x = 8

Answer:

x=17.333

Step-by-step explanation:

3x+8=60

3x=60-8

3x=52

x=52\3

x=17.333

Answer:

The equation would be 2(n+3)-6. So A.

Step-by-step explanation:

It is asking you to subtract first and you cannot do that without  parentheses.

Answer:

First ONE

Step-by-step explanation:

First you are adding 3

n+3

then you mulitply by 2

so, its 2(n+3), you have to put in bracket because you want to do addition first

then you subtract everything by 6

its 2(n+3)-6

The answer is A

Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.

Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.

Answer:

75%, or 7

Step-by-step explanation:

100-25=75

75% of 9 is 6.75 (because 9x0.75)

so we can round to 7, unless there's a decapitated reindeer involved

Answer: 6.75

Step-by-step explanation:

for this math problem we need to find the percentage and subtract that from the original number ( 9 ) . . .

what is 25% if 9 ? 2.25

what is 9 - 2.25 ? 6.75

Answer:

B

Step-by-step explanation:

[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]

Answer:

3 x 9 = 3 x (5 + 4)

= 15 + 12

= 27

Step-by-step explanation:  First you split 9 into 2 parts and ask what plus what equals 9?  5 + 4 = 9 so you got the first equation 3 x (5 + 4).

Then 3 x 5 = 15 and 3 x 4 = 12 so you got the equation 15 + 12 = 27

Answer:

Isaiah can move 4 boxes for every box Ellie moves.

Pls give brainliest. :D

Answer:

5 sq m = 50,000 sq cm

5 sq m = 5 sq m

Step-by-step explanation:

To convert a square meter measurement to a square centimeter measurement, multiply the area by the conversion ratio.

Since one square meter is equal to 10,000 square centimeters, you can use this simple formula to convert:

square centimeters = square meters × 10,000

Answer:

50000 square centimeters.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

125% of 25 is the same as 5/4 of 25.

Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20

Answer:

it's a

Step-by-step explanation:

trust

Answer:

4260 seats in the theater

Step-by-step explanation:

We write the equation 0.45x=1917, with x representing the total number of seats.

Multiply both sides by 100, we get 45x=191700.

Divide both sides by 45, we get x=191700/45

x=4260.

There are 4260 seats in the theater.

The total number of seats is the theater is 4,260.

Percentage:

The percentage is a ratio or fraction of 100 and can be calculated with the formula

Percentage = [tex]\frac{parts}{whole}.100[/tex]

Here we have given that the 1917 seats is 45% of the total seats

Let the total number of seats available in theater is = x

Then 45 % of x = 1917

0.45 x = 1917

Multiply both the sides by 100 we have

45 x = 1917x100

x = [tex]\frac{191700}{45}=4260[/tex]

The final answer is 4,260 seats

Learn more about Percentage here-

https://brainly.com/question/843074

#SPJ2

Answer:

Catalog Name:*Shimmering Chic Earrings*

Base Metal: Alloy

Plating: Gold Plated

Stone Type: Cubic Zirconia/American Diamond

Type: Jhumkhas

Multipack: 1

Easy Returns Available In Case Of Any Issue

*Proof of Safe Delivery! Click to know on Safety Standards of Delivery Partners- https://ltl.sh/y_nZrAV3

The statements are true:

The area of the blueprint is square inches

The area of the blueprint is 108 square inches

The Area of Rectangle is product of its length to its width.

So, Area of Rectangle = length x width

Given:

length= 12 inch

and width= 9 inch

Area of Blue print = l x w

                              = 12 x 9

                              = 108 square inches.

Perimeter of Blue print = 2 ( l+ w)

                                       = 2( 12+ 9)

                                       = 42 inches

Learn more about Area of rectangle here:
https://brainly.com/question/20693059

#SPJ2

From the given diagram, the following statements are true:

AB = BC

3y = 5y - 22

3y - 5y = -22

-2y = -22

y = 11

Similarly, m<DBE = 50 degrees

m<BED = 90 - m<DBE

m<BED = 90 - 50

m<BED = 40 degrees

Since BE = BC = 3y

BE = BC = 3(11) = 33

Also, 7x  - 2 = 40

7x = 40 + 2

7x = 42

x = 6

Get the measure of m<BEA

m<BEA = 7x - 2

m<BEA = 7(6) - 2

m<BEA = 40 degrees

Learn more on angles here: https://brainly.com/question/16281260

[tex]sinA=\frac{3}{4}[/tex]  ⇒  ∠A ≈ 49°

tanA ≈ 1.15

ok done. Thank to me :>

Answer:

[tex]y'= \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]

Step-by-step explanation:

We have [tex]e^{2x} = \ln(y^3)[/tex] and we want the implicit differentiation [tex]\dfrac{dy}{dx}f(x) = y'[/tex]

Therefore, we want to separate the [tex]y[/tex] from the equation.

[tex]\ln(y^3) =e^{2x} \implies 3 \ln(y) = e^{2x} \implies \ln(y) = \dfrac{e^{2x} }{3}[/tex]

[tex]\implies e^{\ln(y)} = e^{e^{2x}/3} \implies \boxed{y = e^{e^{2x}/3}}[/tex]

Now we can calculate the derivative. By the chain rule,

[tex]y' = \dfrac{d}{dx}\left(e^{e^{2x}/3}\right) = e^{e^{2x}/3}\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right)[/tex]

Now

[tex]\dfrac{d}{dx}\left(\dfrac{e^{2x}}{3}\right) =\dfrac{1}{3}\dfrac{d}{dx}\left(e^{2x}\right) = \dfrac{2}{3}e^{2x}[/tex]

Therefore

[tex]y' = e^{e^{2x}/3}\cdot \dfrac{2}{3}e^{2x} = \dfrac{2}{3}e^{2x + e^{2x}/3}[/tex]

Answer:

2/21

Step-by-step explanation:

The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.

Answer:

  30 muffins

Step-by-step explanation:

2.2 cups of flour is 2.2 times the 1 cup quantity required for 14 muffins. Since muffins are proportional to flour, that means 2.2 times 14 muffins can be made. That is ...

  2.2×14 = 30.8

30 whole muffins can be made.

_____

Additional comment

If each muffin is made about 0.6% smaller than for the standard recipe, then 31 muffins could be made from 2.2 cups of flour. Usually, this change in size will not be noticeable.

The set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1, which is the correct answer that would be an option (C).

An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.

Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)}

According to option (A),

The set of ordered pairs is {(1, 2), (3, 2), (4, 3)}

This represents ƒ -3,

According to option (B),

The set of ordered pairs is {(2,1), (3, 2), (4, 3)}

This represents ƒ -2,

According to option (C),

The set of ordered pairs is {(2, 1), (2, 3), (3, 4)}

This represents ƒ -1,

Thus, the set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1.

Hence, the correct answer would be option (C).

Learn more about the set of ordered pairs here:

https://brainly.com/question/10197233

#SPJ2

Answer:

3.

Step-by-step explanation:

Since there are 11 family members and only 4 people fit in a car, they will have to take 3 cars.

4 x 3 = 12,

Also, even though there is going to be 1 seat extra you cannot squeeze 3 people in. Ps. (Just a safety note) In real life it is illegal to drive with extra passengers in a vehicle.

Hope that helps. x

Answer:

3

Step-by-step explanation:

3×4=12 so will still have one vacant seat on one of the cars