50 Point Question...

A dog owner observes that from birth to age 14 weeks, the puppy’s weight can be modelled by the equation w = 365×(1.23)t (0 ≤ t ≤ 14),

(1) Write down the scale factor, and use this to find the percentage increase in the weight each week.

(2) Use the law of logs to find the age at which the puppy will weigh 4000 grams

Answer:

y = 3

Step-by-step explanation:

Given

3(2y + 5) = 33 ( divide both sides by the multiplier 3 )

2y + 5 = 11 ( subtract 5 from both sides )

2y = 6 ( divide both sides by 2 )

y = 3

The number -1 is its own multiplicative inverse, just like the number 1, because multiplying -1 by itself results in 1.

The number 1 is indeed its own multiplicative inverse because when you multiply it by itself, you get 1. The property of a number being its own multiplicative inverse means that the number multiplied by itself equals 1. There is another number with this property, which is -1. When you multiply -1 by itself (-1  x -1), the result is 1. Therefore, -1 is also its own inverse when it comes to multiplication.

This concept is rooted in the properties of identity elements and inverses within the mathematical field of abstract algebra. When considering the set of numbers 1 and -1, they form an abelian group under the operation of multiplication. In this group, every element is its own inverse, and the identity element for multiplication is 1, as any number multiplied by 1 yields the original number.

Answer:

x=2, y=11.

Step-by-step explanation:

x + y = -9.  

5x - 2y = 32   Multiply the first equation by 2:

2x + 2y = -18   Adding the last 2 equations to eliminate y:

7x =  14

x = 2,

Substitute x = 2 in the first equation:

2 + y = -9

y = -9 - 2

y = -11.

Answer:8in

Step-by-step explanation:

You will multiply 2in•4in=8in

Answer:

Leonard did make an error. He should have multiplied -7 by -5

Step-by-step explanation:

When you multiple a negative by a negative, it is a positive.

Answer:

6meters

Step-by-step explanation:

Use simple proportion

2cm = 1m

12cm = ?

(12x1)/2 = 6m

Answer: 6m

Step-by-step explanation:

Answer:

1/2 is equal to 20/40

that is the answer

20/40

divide the fraction by 20

20/20=1

40/20=2

Answer: 1/2

Answer: $216.19

Step-by-step explanation:

3999.60/18.5 = 216.19

Hey!

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

[tex]\large\boxed{214.1945...~or~roughly~214~dollars~an~hour!}[/tex]

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

Steps To Solve:

~Divide

3999.60 / 18.5 = 214.1945945...

~Round

214.1945945... ≈ 214

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

Hope This Helped! Good Luck!

Answer:

Answer is 108

Step-by-step explanation:

See answer in above picture or attachment

The least comm multiple for 36 and 108 is 108. This is because 36 is already a multiple of 108 so it will be the least common multiple between both numbers.

Answer: Steven

Step-by-step explanation: Steven lives further away from the park than anyone else.

Answer:

Steven

Step-by-step explanation:

I am going to use > and < signs to solve the problem.

From the first sentence,

Allie < Steven but Allie > Layla, so

Layla < Allie < Steven

From the second sentence,

Dave < Layla, so

Dave < Layla < Allie < Steven

Steven lives farther from the park

Answer:

21 / 99

Step-by-step explanation:

You want to get rid of the decimals so

Let x = 0.21212121

then 100x = 21.21212121

then 100x - x = 21

99x = 21

x = 21 / 99

So 0.2121... is equal to 21 / 99

To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. The fraction equivalent of the decimal is 21/99.

To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. Let x = 0.21212121... . Multiplying both sides of the equation by 100 gives 100x = 21.21212121... . Subtracting the original equation from this, we get 99x = 21, which means x = 21/99. Therefore, the decimal 0.21212121... is equal to the fraction 21/99.

https://brainly.com/question/33179307

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Answer: A rational number is any value that can be expressed as a ratio of two integers. An irrational number is any value that cannot be expressed as a ratio of two integers.

Rational 4 and 1/4

Irrational π and √3

If a number can be written in the form of the fraction of p and q then that number is known as the rational number whereas a number is not written in the form of the fraction p and q then that number is known as the irrational number.

Rational Number - If a number can be written in the form of the fraction of p and q then that number is known as the rational number, that is:

[tex]\rm Rational \;Number = \dfrac{p}{q}[/tex]

Where q is the denominator and p is the numerator.

For example -  [tex]\dfrac{4}{3}[/tex] , [tex]\dfrac{1}{4}[/tex] , etc

Irrational Number - If a number is not written in the form of the fraction p and q then that number is known as the irrational number, that is:

[tex]\rm Irrational \;Number \neq \dfrac{p}{q}[/tex]

Where p is the numerator and q is the denominator.

For example - [tex]\pi, \sqrt{3}[/tex], etc

For more information, refer to the link given below:

https://brainly.com/question/23017717

The equivalent expression is: B. y = ((z + 4x)) / 7

To find an equation equivalent to 4x + 7y = z, we want to isolate one of the variables (either x or y on one side of the equation.

Let's isolate x in terms of y and z:

Starting with 4x + 7y = z, subtract 7y from both sides:

4x = z - 7y

Now, divide both sides by 4 to solve for x:

[tex]\[x = \frac{z - 7y}{4}\][/tex]

Therefore, the correct choice is option B: [tex]\(x = \frac{z - 7y}{4}\)[/tex].

Complete question:

Which of the following is equivalent to the equation 4x+7y=z ?

A. x=4z-28y

B. x= ((z-7y))/4

C. y=7z+28x

D. y= ((z+4x))/7

Answer:

(Insert table here)

Domain: {-3,-1,1}

Range: {-1,2,4,5}

The relation Q is described as a list of ordered pairs, shown below.

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

Domain: {-2,-1,0,4}

Range: {-2,2,3,4}

Step-by-step explanation:

Because its the answer

The Domain: {-3,-1,1} and Range: {-1,2,4,5}

Domain – All of the values that go into a relation or a function are called the domain.

Range – All of the entities (output) which emerge from a relation or a function are called the range.

All input values that are used (independent values) forms the Domain set.

All output values that are used (dependent values) forms the Range set.

Example: Given Function:- f = 2x+1 , Find the domain, range if 1<=x<=5.

The values of x lies from 1 to 10.

So, domain is {1, 2, 3, 4, 5}.

The values of f obtained by putting domain elements in the function will be range.

So, range is {3,5,7,9,11}.

We have relation Q as

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

so, we know domain are the input values

Domain: {-2,-1,0,4}

and range are the output values

Range: {-2,2,3,4}

Answer:

1a. 0< -4 false

1b. -3> or = -7 true

1c. 4<= -1/2 false

Answer:

1. x= -1, -5

2. x= 9, -15

3. x= 3. -3

Step-by-step explanation:

Answer:

16/25

Step-by-step explanation:

16/25 is equel to 0.64

Have a beatiful day!

Answer:

7 3/5

Step-by-step explanation:

The absolute value is never a negative.

Ex: What is the absolute value of -37

A. 37

How much is 22 out of 28 written as a percentage? Convert fraction (ratio) 22 / 28 Answer: 78.571428571429%

Hope this helped! Enjoy! :)

Answer:

The 2nd root of 81, or 81 radical 2, or the square root of 81 is 9.

HOPE THIS HELPED!!!!!!!!!!!!! XDDDDDDDDD

Answer:

i think its x = -880

Step-by-step explanation:

so the triangle equals 180 degrees so you would put (x + 10) + (x + 20) + 50 = 180 and solve the equation. i might be wrong but i think thats how

Answer: 28.33 Celsius and 301.483 Kelvin

83°F − 32) × 5/9 = 28.333°C

(83°F − 32) × 5/9 + 273.15 = 301.483K