The Barker family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barker family that for the next 6 months, Lucky would grow at an average rate of 9 pounds per month. Currently, Lucky is 2 months old and weighs 3 pounds. Age, in months 2 3 4 5 6 7 8 Weight, in pounds 3 at 2 months old Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months. Part B: Graph the data in the table from Part A. Be sure to label the graph and all data points. Part C: Create a linear model that represents the Lucky's current weight, in pounds, as a function of his age, in months. Part D: If Lucky continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Lucky weigh by the time he is one year old?

The value of x is 6 or 3.5.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

We have,

Radius = (x-2)

CB= 2x -9

Using Pythagoras theorem

AB² + CB² = AC²

(x-2)² + (2x-9)² = (x-2+1)²

x² + 4  -4x + 4x² + 81 - 36x = x² + 1 -2x

4x² -38x + 84 = 0

Solving the quadratic equation we get

x= 6 or 3.5

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Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

Initially, we have had to figure out how many packaged food the country should offer with both the biggest quality and then the number of packages each country should give.

Find out just how many food packages a nation should donate with both the lowest budget.

For point b:

They first need to figure out just how many medication packages the country should donate on the lowest budget, and then how many packages each country can donate.

Find out just how many medicinal packets the smallest budget nation can donate.

Answer:

4

Step-by-step explanation:

Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.

11 × 5 = 55

95 - 54 = 40

Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.

40/10=4

Answer:

6

Step-by-step explanation:

A six sided die is rolled two times arrange the events in order from the event with the highest probability to the event with the lowest probability  

Answer: E and B are the right answer I think tell me if im wrong :)

Answer: x = -7/3

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/%5Cleft(3x%20%2B%207%5Cright)2%20%3D%20-6x%20-%2014

there are the steps

Answer:x=-7/3

Step-by-step explanation:(3x+7)(2)=−6x−14

(3x)(2)+(7)(2)=−6x+−14(Distribute)

6x+14=−6x+−14

6x+14=−6x−14

6x+14+6x=−6x−14+6x

12x+14=−14

12x+14−14=−14−14

Answer

using y = mx+c

where m is the slope and c

6 = 3(2)+c

6 = 6 + c

c= 0

Y-intercept is where the line passes through the y-axis, which is where x = 0

So, when x = 0, y = 0

Another point on the line, then, is {0,0}

9514 1404 393

Answer:

  y = -5x +13

Step-by-step explanation:

We know from the slope-intercept equation ...

  y = mx + b

that the y-intercept b can be found as ...

  b = y - mx

Filling in the given values of m and (x, y), we find ...

  b = -2 -(-5)(3) = 13

Then the equation is ...

  y = -5x +13

Answer: t=-20

Step-by-step explanation:

Answer: 3.52

Step-by-step explanation:

Hey!

So for this problem, we need to follow the Volume formula which is:

length x width x height

We know our length and width so all we need is our height (depth)

First , We multiply our length and width.

2.2 x 1.6 = 3.52

Next, we figure out what times this will equal 11.5. We can see that this number can’t be times 4 because that would make it twelve so we need to lower it. We can divide 11.5 (the volume) by 3.52 to get our answer.

We get 3.267. Rounded to the hundredths it would be 3.27 ft.

Hope this helps! :D

Sorry if I messed anything up!

Comment down below if you have any further questions!

Answer:

-12/5

Step-by-step explanation:

slope = change in y / change in x

change in y = 12 (from top to bottom) = 6 - (-6)

change in x = -5 (from top to bottom) = -2 -3

slope = 12/-5 = -12/5

Answer:

The answer to your question is the third one

Step-by-step explanation:

The first graph is the graph of a

The second graph is of a rational function

The third one is of an exponential function

Answer:

Flower Bed A is the 3rd on down

C=10pi,  A = 25pi

Flower Bed B is the 5th one down

C=12pi, A=36pi

9514 1404 393

Answer:

  A) 10π ft; 25π ft²

  B) 12π ft; 36π ft²

Step-by-step explanation:

The circumference is given by ...

  C = πd = 2πr . . . . . . . . . . for radius r or diameter d

The area is given by ...

  A = πr² = (π/4)d²

__

A) For a diameter of 10 ft, the circumference is π(10 ft) = 10π ft.

The area is (π/4)(10 ft)² = 25π ft².

__

B) For a radius of 6 ft, the circumference is 2π(6 ft) = 12π ft.

The area is π(6 ft)² = 36π ft².

Using mathematical operations, the construction worker requires C. 2 pounds of cement to mix 3 pounds of sand.

The basic mathematical operations are subtraction, addition, division, and multiplication.

These mathematical operations combine numbers, variables, mathematical operands, and the equation symbol to solve mathematical problems.

In this situation, we can apply the mathematical operation of multiplication to determine the quantity of cement required for 5 pounds of gravel.

The quantity of gravel per pound of sand = 1²/₃ = 1.667 pounds

For 3 pounds of sand, the quantity of gravel required = 5 pounds (1²/₃ x 3)

The quantity of cement per pound of gravel = ²/₅ pounds or 0.4

For 3 pounds of sand and 5 pounds of gravel, the quantity of cement required = 2 (5 x 0.4) or (5 x ²/₅)

Thus, 2 pounds of cement are needed to mix with 3 pounds of sand and 5 pounds of gravel.

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The total length is 2.077m (2177 cm).

Length is a measurement of size, distance, or duration. It can refer to physical size (length of a field, length of an object, etc.), distance (length of a journey, length of a river, etc.), or duration (length of a movie, length of a school day, etc.). Length can also refer to the duration of time it takes to complete something (length of a task, length of a process, etc.). Length is typically measured in units such as meters, feet, inches, miles, kilometers, and seconds.

The given measurements can be added together to calculate a total length. The addition of 1.8m, 77cm, and 210mm can be expressed in the form of a sum equation. The equation would be 1.8m + 77cm + 210mm = ?.

To solve this equation, the measurements need to be converted to the same unit of measurement. In this case, all measurements can be converted to cm. 1.8m is equal to 1800cm, 77cm is equal to 77cm, and 210mm is equal to 21cm.

Therefore, the sum equation becomes 1800cm + 77cm + 21cm = ?. To find the total length, the numbers can be added together.

The total length is 1977cm. However, since the measurements are expressed in decimals, the answer must also be expressed in decimals. Therefore, the total length is 2.077m (2177 cm).

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Answer:

The angle for x would be 45°

Answer: $26.81

Step-by-step explanation: the tank holds 16.5 gallons. Meaning, half of the tank is 8.25 gallons. Multiply that by the cost of the gas, 3.25, and you get 26.81

Answer: B

Step-by-step explanation:

Answer:

1/4 is A and 1/20 is B

Step-by-step explanation:

Not much of an explanation needed

The ratios 4 birr to 16 cents and 5 days to 100 hrs can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.

Ratio is the relationship between two quantities which shows the number of times that the one quantity is contained within the other quantity.

If 'a' is related to 'b', they can be denoted in terms of ratio as a : b.

Ratios can be expressed as fractions.

(a) 4 birr to 16 cents = [tex]\frac{4}{16}[/tex]

The highest common factor of both 4 and 16 is 4.

[tex]\frac{4}{16}[/tex] = (4 × 1) / (4 × 4) = [tex]\frac{1}{4}[/tex]

(b) 5 days to 100 hrs = [tex]\frac{5}{100}[/tex]

The highest common factor of 5 and 100 is 5.

[tex]\frac{5}{100}[/tex] = (5 × 1) / (5 × 20) = [tex]\frac{1}{20}[/tex]

Hence the ratios can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.

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Answer:

$50.25

Step-by-step explanation:

7.5% as a decimal is 0.075.

So, the fee is [tex](0.075)(670)=\$50.25[/tex].

Answer:

c

Step-by-step explanation:

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{150}{2}[/tex]

Slope = 75

Hope this helps!