The living room in the house has an area off 244 square feet and a width of 14 feet what is the length of the room

Answer:

x = 4

Step-by-step explanation:

log₃[1 + log₃(2ˣ - 7)] = 1

log₃[1 + log₃(2ˣ - 7)] = log₃(3)

1 + log₃(2ˣ - 7) = 3

log₃(2ˣ - 7) = 2

log₃(2ˣ - 7) = log₃(3)²

2ˣ - 7 = 9

2ˣ = 9 + 7

2ˣ = 16

2ˣ = 2⁴

x = 4

By putting x = 4 in the original equation,

log₃[1 + log₃(2⁴ - 7)] = 1

log₃[1 + log₃(16 - 7)] = 1

log₃[1 + log₃(9)] = 1

log₃[1 + log₃(3)²] = 1

log₃[1 + 2] = 1

log₃[3] = 1

1 = 1

Therefore, x = 4 is not the extraneous solution and there is no error in your answer.

Answer:

3

Step-by-step explanation:

Lannister checks out 6 sets of book

Each set had the same number of books

She reads 7 books and has 11 more to go

Therefore the number of books in each set can be calculated as follows

= 11+7

= 18

18/6

= 3

Hence there are 3 books in each set

Answer:

Correct solution in steps

The error in the given solution was the first step: (5 - 2)

Answer:

(69,979)

Step-by-step explanation:

In the coordinates, x is represented as 69. We can now insert this into the equation.

y = 13x + 82

Now to insert x.

y = 13(69) + 82

Now we can multiply 13 by 69.

13*69 = 897

Now fix the equation.

y = 897 + 82

Now add to get our y.

897 + 82 = 979

Substitute into the equation.

y = 979

And there is our answer. We now need to put this into the coordinates.

And we get our final answer of (69,979).

Hope this helps. Have a nice day.

Answer:

1

Step-by-step explanation:

Substitute x with -3 and y with -7

2(-3)-(-7)

Multiply

-6-(-7)

Signs are both negative, turn into positive sign

-6+7

Add

1

Answer:

1

Step-by-step explanation:

x = - 3 and y = - 7

2x-y =?

Now

2*(-3)-(-7)

-6 +7. (sign of negative when multiplied it turns into positive)

1. Answer

Answer:

2x(x - 3)²

Step-by-step explanation:

We can simplify this a lot by first factoring 2x out of each term:

2x³ - 12x² + 18x

= 2x(x² - 6 + 9)

We can then factor the trinomial fairly easily, as it's a perfect square:

= 2x(x - 3)²

Answer:

Step-by-step explanation:

2x=x(1.07)^t

2=(1.07)^t

t=log2/(log 1.07) ≈10.2 4 years

so it doubles in approximately in  10.2 years

To solve the problem we must know about Compounding.

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

[tex]A = P(1+r)^t[/tex]

where A is the value after t period of time,

P is the value of the asset at the beginning, and,

r is the rate of interest.

The value of the home doubles once each decade.

Given to us

As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.

We know the formula of compounding,

[tex]A = P(1+r)^t[/tex]

Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,

[tex]A = P(1+r)^t[/tex]

Substitute the rate at which the value is increasing,

[tex]A = P(1+0.07)^t[/tex]

We know that in a decade there are 10 years,

[tex]A = P(1.07)^{10}[/tex]

[tex]A = 1.967P\approx 2P[/tex]

As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.

Hence, the value of the home doubles once each decade.

Learn more about Compounding:

https://brainly.com/question/25857212

Answer:

C) x = 9

Step-by-step explanation:

6/4 = x/6

4x = 36

x = 9

Answer:y = x 2 − 12 x The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. Interval Notation: ( − ∞ , ∞ ) Set-Builder Notation: { x | x ∈ R } The range is the set of all valid y values. Use the graph to find the range. Interval Notation: [ − 36 , ∞ ) Set-Builder Notation: { y | y ≥ − 36 } Determine the domain and range. Domain: ( − ∞ , ∞ ) , { x | x ∈ R } Range: [ − 36 , ∞ ) , { y | y ≥ − 36 }

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is no restriction upon x so the domain is all real numbers

x=(-oo, +oo)

y has a minimum value when x=12 and y=11. Any other value of x increases the value of y. So the range is all real numbers greater than or equal to 11.

y=[11, +oo)

Answer:

You can always ask the tutor they give the correct answer :))

Answer:

568,000L

Step-by-step explanation:

1 Kiloliter = 1,000 Liters

568 x 1,000 = 568,000

Answer:

Step-by-step explanation:

We have a = 2r

Area of square:

Area of circle:

Ratio:

Answer:

π/4

Step-by-step explanation:

Hope this helps

Answer:

- [tex]3x^{2}[/tex]  - 40x - 100

Step-by-step explanation:

f (x ) . g ( x )

( 3x - 10 ) ( 10 - x )

30x - [tex]3x^{2}[/tex]  - 100 + 10x

Simplify the like terms.

40x - 100 -  [tex]3x^{2}[/tex]  

= - [tex]3x^{2}[/tex]  - 40x - 100

Answer:

your answer is D                                                                        

Answer:

449,999

Step-by-step explanation:

Given that:

Greatest whole number that round to 400,000 when rounding to the nearest hundred thousand :

To obtain the greatest whole number which rounds to 400,000, the whole number is greater Tha 400,000 and its 10 thousand digit in the number or value to be rounded must be lesser than 5.

The value would be 449,999 ; here z the 10 thousand value which is 4 is rounded to zero since it is not up to 5 and the subsequent digits also rounded to 0 to give ;

400,000 (nearest hundred thousand).

Answer:

m= 16

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

−2(x−7)>4

Step 1: Simplify both sides of the inequality.

−2x+14>4

Step 2: Subtract 14 from both sides.

−2x+14−14>4−14

−2x>−10

Step 3: Divide both sides by -2.

−2x ÷ −2 > −10 ÷ −2

x<5

Answer:

24

Step-by-step explanation:

Answer:

the measure of an angle that is the complement of angle M=90-75=15

non of the above

Answer:

x=7

Step-by-step explanation:

2{x+8}+5{x-1}=60

Distribute

2x+16+5x-5 = 60

Combine like terms

7x +11 = 60

Subtract 11 from each side

7x+11-11 = 60-11

7x = 49

Divide each side by 7

7x/7 = 49/7

x = 7

Answer:

hello your question is incomplete below is the complete question

To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business loan for the rest. After 2 years of paying monthly payments of $562.88. , he finally paid off the loan. What was the total amount  Dean ended up paying for the equipment ( including the down payment and monthly payments )

answer: $15309.12

Step-by-step explanation:

Initial cost of equipment = $14500

Down payment = $1800

cost of equipment = 14500 - 1800 = $12700

Monthly payment = $562.88

Therefore payment made after 2 years = ( 562.88 * 24 ) = $13509.12

Total amount paid by Dean for the equipment

= down payment + monthly payments

= $1800 + $13509.12

= $15309.12

Answer:

14

Step-by-step explanation:

The total amount of bowls he can make given the pounds of clay and the pound needed to make a bowl = [tex]15\frac{5}{8}[/tex] ÷ [tex]\frac{7}{10}[/tex]

= [tex]\frac{125}{8}[/tex] ÷ [tex]\frac{7}{10}[/tex]

= [tex]\frac{125}{8}[/tex] ×[tex]\frac{10}{7}[/tex] = 22.32

Number of bowls he can more more = total amount of bowls that can be made - number of bowls already made

22.32 - 8 = 14.32 bowls

Rounding off to the nearest whole number gives 14

Answer:

y=10w+20

or 20+10w=y

Step-by-step explanation:

just a mixture of those

Answer:

Answers Below. Have a wonderful day!

Step-by-step explanation:

They undergo internal fertilization: True Most reptiles undergo internal fertilization sexually when the sperm of a male reptile enters the cloaca of female reptiles, fertilizing the egg.

Their urine is concentrated: False Reptiles do not have the ability to produce liquid urine that is more concentrated than their own body fluid because they lack a structure in their nephron called the Loop of Henle.

They use their skin for gas exchange: False They cannot use their skin as an organ of gas exchange. Reptiles depend entirely on their lungs for this.

They have two-chambered hearts: False They have three-chambered hearts.

They are covered in scales: True All reptiles are covered in scales (snakes, lizards, turtles, etc.)

Answer:

1 and 5

Step-by-step explanation:

i did the test

Answer:

720

Step-by-step explanation:

6*5*4*3*2=720

Answer:

70.243

Step-by-step explanation:

hope this helps you!!

Answer:

0.243 + 70.3 = 70.543

Answer:

80%

Step-by-step explanation:

Answer:16.76 is your answer hope I helped

Answer:

Answer B. 150.8