Johnny found a sick abandoned kitten in his yard. It was very malnourished and he decided to nurse it back to health. He started feeding the kitten enough food to help it gain weight. On average the kitten was gaining 4 ounces per day. After 6 days in Johnny's care, the cat weighed 73 ounces. Determine how many days until the kitten will weighs 105 ounces.

Answer:

-18

Step-by-step explanation:

first subtract ten from both sides now you're left with -2y=36 ,lastly divide both sides by -2 and you're left with y= -18

The percentage increase when the price of an item increased is 30%.

From the information, the price of an item yesterday was $130 and today, the price rose to $169.

The increase in the price will be:

= $169 - $130

= $39

Therefore, the percentage increase will be:

= Increase in price / Original price × 100

= 39 / 130 × 100

= 30%

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The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

If g(x) is the inverse of f(x), 2 is the value of f(g(2)).

An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

Given

[tex]&x \rightarrow f(x) \\[/tex]

[tex]&-6 \rightarrow 1 \\[/tex]

[tex]&-3 \rightarrow 2[/tex]

[tex]$$g(x)=f^{-1}(x)[/tex] inverse

To find the value of f(g(2)).

For two functions f(x) and g(x) where f(x) and g(x) are inverse; f(g(x))=x

So, by comparison: f(g(2)) = 2.

Therefore, the inverse of the function f(g(2)) = 2.

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Answer:

p=1

Step-by-step explanation:

p(6+1.5n)=18+4.5n

6p+1.5np = 18+4.5n

18p+4.5np=18+4.5n

p=1

:]

The population of rabbits by the year 2023  is 13985.

We have to use the following exponential function. This will be:

y = a b^t

In 2008 means, t=0

So we have 7100 = a b^0

a = 7100

y = 7100b^t

In 2013 means t = 2013-2008 =5

8900 = 7100 b⁵

b⁵ = 89/71

b = 1.046

So the equation will be

y = 7100 (1.046)^t

For 2023, t=2023-2008= 15

y = 7100(1.046)¹⁵

= 13985

The population is 13985.

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If we solve for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).

What is the linear equation with two variables ?

A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.

The given equation is a form of linear equation with two variables.

The equation is 16x + 28y = 112.

From graph it is clear that coordinates of Y are Y(1 , -1).

So , let's check for the value of x by putting the values of y in given expression.

i.e.,

The resulted equations will be :

16 x + 28 (1) = 112

or

16x + 28(-1) = 112

So ,

16 x + 28 = 112    --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 1

16x - 28 = 112     --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 2

The values of x will be :

x = 84 / 16 = 21 / 4

or

x = 140 / 16 = 35 / 4

The coordinates of X will be X([tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).

Therefore , solving for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).

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Filling in the blanks, I assume you're talking about a random variable [tex]X[/tex] distributed uniformly over the integers [tex]a\le x\le b[/tex]. Let both [tex]a,b>0[/tex] so we can write the support of [tex]X[/tex] as the set

[tex]S = \{-a, -a+1, -a+2, \ldots, -1, 0, 1, \ldots, b-2, b-1, b\}[/tex]

Note that [tex]|S| = a+b+1[/tex], so the PMF of [tex]X[/tex] is

[tex]\mathrm{Pr}(X=x) = \begin{cases}\frac1{a+b+1} & \text{if } x\in S \\ 0 & \text{otherwise}\end{cases}[/tex]

Let [tex]Y=\max\{0,X\}[/tex]. Then

[tex]Y = \max\{0,X\} = \begin{cases}0 & \text{if } X\le0 \\ X & \text{if } X>0 \end{cases}[/tex]

which tells us

[tex]\displaystyle \mathrm{Pr}(Y=0) = \mathrm{Pr}(X\le0) = \sum_{x=-a}^0 \mathrm{Pr}(X=x) = \frac{a+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Y\neq0) = \mathrm{Pr}(X>0) = \sum_{x=1}^b \mathrm{Pr}(X=x) = \frac b{a+b+1}[/tex]

Hence the PMF of [tex]Y[/tex] is

[tex]\mathrm{Pr}(Y=y) = \begin{cases}\frac{a+1}{a+b+1} & \text{if } y=0 \\\\ \frac b{a+b+1} & \text{otherwise}\end{cases}[/tex]

Let [tex]Z=\min\{0,X\}[/tex]. The same reasoning applies, but this time

[tex]Z = \min\{0,X\} = \begin{cases} 0 & \text{if } X \ge 0 \\ X & \text{if } X < 0 \end{cases}[/tex]

Now

[tex]\displaystyle \mathrm{Pr}(Z=0) = \mathrm{Pr}(X\ge0) = \sum_{x=0}^b \mathrm{Pr}(X=x) = \frac{b+1}{a+b+1}[/tex]

and

[tex]\displaystyle \mathrm{Pr}(Z\neq0) = \mathrm{Pr}(X<0) = \sum_{x=-a}^{-1} \mathrm{Pr}(X=x) = \frac a{a+b+1}[/tex]

so that

[tex]\mathrm{Pr}(Z=z) = \begin{cases}\frac{b+1}{a+b+1} &\text{if }z=0 \\\\ \frac a{a+b+1} & \text{otherwise}\end{cases}[/tex]

Answer:

Find the Inverse f(x)=3x-1/4. f(x)=3x−14 f ( x ) = 3 x - 1 4. Step 1. Write f(x)=3x−14 f ( x ) = 3 x - 1 4 as an equation. y=3x−14 y = 3 x - 1 4.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

y-0=2/3(x-6)         (expand L side)

What is the equation in slope-intercept form?

y = 2/3 x - 4

Answer:

x = 8

Step-by-step explanation:

17x-5 = 16x + 3

Step 1: Subtract 16x from both sides.

17x−5−16x=16x+3−16x

x−5=3

Step 2: Add 5 to both sides.

x−5+5=3+5

x=8

The solution to the equation is x = 8.

To solve the equation 17x - 5 = 16x + 3 and find the value of x, we can follow these steps:

Start by simplifying both sides of the equation by combining like terms. Add 5 to both sides to move the constant term to the right side of the equation:

17x - 5 + 5 = 16x + 3 + 5

17x = 16x + 8

Next, we want to isolate the x term on one side of the equation.

Subtract 16x from both sides:

17x - 16x = 16x - 16x + 8

x = 8

Therefore, the solution to the equation is x = 8.

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The length of the side is 11.79cm

The area is the entire amount of space occupied by a flat (2-D) surface or shape of an object.

On a sheet of paper, draw a square with a pencil.

It is a two-dimensional figure.

The area of a shape on paper is the area it occupies.

Area of a square i= 139cm^2

a^2 = 139

The length of the side (a) = [tex]\sqrt{139}[/tex] = 11.79cm

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The ending balance for a amount of Rs. 341,000 with a interest rate of 4% for the time period of 3 years is Rs. 381920.  

What is interest?

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).

Information given in the question,

Principle amount = 341,000

Time period = 3 years

Interest rate is 4 % which can be written as 0.04 in decimals.

We can calculate the ending balance using this formula formula for simple interest:

[tex]S.I. = Principle \times Interest \times time[/tex]

Putting the values given in the question

S.I. = (341000)(0.04)(3)

S.I. = 40,920

Interest is 40,920.

The ending balance is the sum of Principle amount and Interest. So,

ending balance = 341000+40920

ending balance = 381920  

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From the scatter plot of sales of Ceiling Fan in relation to Temperature.

(a) We are asked to characterized the money spent on Ceiling Fan to Temperature.

The relationship between the money spent on Ceiling Fan and Temperature is positive correlation.

When the y variable tends to increase as the x variable increases, we say there is a positive correlation. Which we can see in the scatter plot in the question.

(b) using the function y = 20x + 0, we are to find the predicted amount of sales if temperature is 21 degrees Celsius.

With the function:

y = 20x + 0

When Temperature is 21 degrees that means x = 21

So let's input x = 21 into the given function.

y = 20(21) + 0

y = 420 + 0

y = 420

Therefore, the predicted amount of sales when Temperature is 21 degrees Celsius is $420.

(c) What does the number 0 in the function mean in the contest of this situation?

In a linear interpretation which the function represents, the number 0 can be seen as the y intercepts of the function.

among all rectangles that have a perimeter of 48 Then the  dimensions of the one whose area is largest is 12 by 12

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(L + W)

L is the length of the rectangle

W is the width

Given that the perimeter is 156, hence;

2(L + W) = 48

2L + 2W = 48

L + W = 24

W = 24 - L

The area of the rectangle is expressed as:

A = LW

A = L(24-L)

A = 24L - L^2

To get the dimensions of the one whose area is largest, dA/dL = 0

dA/dL = 24 - 2L

0 = 24 - 2L

2L = 24

L = 24/2

L = 12

Recall that 2(L+W) = 48

2(12 + W) = 48

12 + W = 24

W = 24 - 12

W = 12

Hence the dimensions of the one whose area is largest is 12 by 12

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The range of the exponential function f(x) is 1 / 32 ≤ f(x) ≤ 16.

Exponential functions are monotonous functions, that is, functions that are increasing or increasing but never both. Functions are defined by the following three features:

In this problem we find a function with an input variable (x) and an output variable (f(x)). Since exponential functions are monotonous functions we can determine the bounds of the range by the function evaluated at x = - 5 and x = 4. Thus:

f(- 5) = 2⁻⁵

f(- 5) = 1 / 2⁵

f(- 5) = 1 / 32

f(4) = 2⁴

f(4) = 16

The range of the function f(x) = 2ˣ for - 5 ≤ x ≤ 4 is 1 / 32 ≤ f(x) ≤ 16.

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[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 8 - 5}{ - 8 - ( - 2)} \\ m = \frac{ - 13}{ - 8 + 2} \\ m \frac{ - 13}{ - 6} \\ m = \frac{13}{6} [/tex]

ATTACHED IS THE SOLUTION.

I also provided you with the formula to calculate the slope between the points.

formula to calculate the slope between the points.GOODLUCK

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost of all meat is shown in figure.

Now,

By the figure, we get;

The cheapest meat is Ms barker free Ronge whole chicken which is in

$6 per kilo.

And, The cost of honey leg ham = $17 per kilo

Since, 1 kilograms = 1,000 grams

The cost of 1 gram of honey leg ham = $17/1000

So, The cost of 200 grams of honey leg ham = 200 × 17 / 1000

                                                                      = $3.4

Thus,

1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.

2. The cost of 200 grams of honey leg ham is $3.4.

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Answer:

Hope this helps!!

Answer:

divide both sides by the coefficient of v which is 12

-24/-12=-12v/-12

-2=v

The equation for Kilberly's running or walking will be R+4w ≤ 6.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final.

Let the running is represented by 'R' and walking by 'w". The equation will be written as below:-

R + 4W ≤ 6

Put the running and walking times in the equation above.

15 + ( 4 x 40 ) ≤ 6

175 minute ≤ 6 x 60

175 minutes ≤ 360 minutes.

Therefore, Kimberly covers the distance in less than 6 hours.

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Answer:

I need you to be more specific and answer options. That is the only way anyone can answer this question.

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Given: =The exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°,8x°.

Then, x°+2x°+3x°+4x°+5x°+6x°+7x°+8x° =360°

⇒ 36x = 360

⇒ x= 10

mean = 27

standard deviation = 4

n = 17

z = ?

Result :

z = 2.5

Ok, so

We know that, at West Elementary school, there are 438 students and 22 full-time teachers. We want to know the number of students per teacher. This is:

After finding the probability we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

11 % of the population is left-handed so here we have to find the probability of left-handed students if 209 random students are selected from 5225 students on campus here Favorable outcome is 209 and the total outcome is 5225, so the favorable outcome upon the total number of the outcome.

According to the probability formula :

Probability = [tex]\frac{favorable outcome}{Total number of outcome}[/tex]

Probability = 209 / 5225

After diving the above equation we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.

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Answer:

they washed 55 cars

Step-by-step explanation:

I did the math good luck

If the area of the rectangular billboard covered by the ribbon was approximately 3360 square feet, and the width of the billboard was approximately 56 feet, the height of the billboard would be 71.25 feet.

The exact measurement that helps to express the size of a region on a plane or curved surface is thus called as area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

In mathematical terminology, area can be defined as the total space that is taken up by a flat (2-D) surface or shape of a present object.

Here the area of the billboard = 3360 sq feet

Width of the billboard = 56 feet

We know that

area of the billboard = Height of the billboard x Width of the billboard

⇒ Height of the billboard = [Area of the billboard] / [Width of the billboard]

⇒ Height of the billboard= 3360/56

⇒ Height of the billboard = 71.25 feet

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Answer:

Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.

Step-by-step explanation:

There is no explanation