a rectangular room measures 17 feet by 6 feet. find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.94 foot.

Answer:

11

Step-by-step:

|-11| = 11

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Answer:

1/25

Step-by-step explanation:

days in a week is 7

odds of being born on each 7 days is equal

x born = 7 days

pr(one separate baby) = 1 ÷ 5

pr(second separate baby) = 1 ÷ 5

pr(both being born on a school day) = 1/5 × 1/5

= 1/25

The solution for A(3) in the function when the function A(x) = 4 − (x + 3)⁵ is -772

From the question, we have the following equation that can be used in our computation:

A ( x ) = 4 − ( x + 3 )^5

To make the equation legible, we need to rewrite it

So, we have the following representation

A(x) = 4 − (x + 3)⁵

Also from the question, we have

A(3)

This means that the value of x is 3, and we calculate A(x) when x = 3

Substitute the known values in the above equation, so, we have the following representation

A(3) = 4 − (x + 3)⁵

So, we have the following equation

A(3) = 4 − (3 + 3)⁵

There are constants to add or subtract to both sides of the equation

However, there is no factor to multiply or divide from both sides of the equation

So, we have the following representation

A(3) = 4 − (6)⁵

Solving further, we have

A(3) = 4 − 7776

Evaluate the difference

A(3) = −7772

Hence, the solution is −7772

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Possible question

Given A ( x ) = 4 − ( x + 3 )^5, find A(3).

The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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The ideal congressional district size (Standard Divisor) in 1790 was 34437.33.

The number of persons each House of Representatives seat represents is known as the "Standard Divisor" (SD). By dividing the total population of all the states by the total number of seats available for voting, the SD is determined. SD is calculated as Total U.S. Population / Total Number of Voting Seats.

The ratio of the entire population to the available seats (or other allocations) is known as the standard divisor. • The Hamilton system divides up any extra seats among the states with the largest fractional parts after allocating each state its lower quota initially.

Given,

population in 1790 was 3,615,920,

number of objects = 105

⇒ Standard divisor = total population / number of objects

⇒ Standard divisor = 3,615,920 / 105

⇒ Standard Divisor = 34437.33

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Answer:

Step-by-stepcarry the 18975327834783578 explanation:

Answer:B

Step-by-step explanation:

Answer:

always true I think hope it helps

Answer:

sixteen i guess?

Step-by-step explanation:

abcdefghijklmnop

Answer:

Not a Function

Step-by-step explanation:

there are 2 same inputs for different outputs

The standard form (SF), center (C) and radius (R) are given as follow: (13) SF:  (x + 4)² + (y - 3)² = 50, Center: (-4, 3), R: √50 (14) SF: (x - 2)² + (y - 6)² = 169, C: (2, 6), R: 13 (15) SF: (x + 7)² + (y + 5)² = 1, C: (-7, -5), R: 1 (16) SF: (x - 8)² + y² = 225, C: (8,0), R: 15 (17) SF: (x - 12)² + (y - 2)² = 63, C: (12, 2), R: √63 (18) SF: (x - 5)² + (y + 4)² = 100 , C: (5, -4), R: 10

The general form of a circle is given as:

       (x - h)² + (y - k)² = r²

where:

        (h, k) represents the center of the circle

       r represents the radius.

Now we can use the above information to solve the following questions:

13. x² + y² + 8x - 6y - 25 = 0

Rearranging the equation:

x² + 8x + y² - 6y = 25

Completing the square for x terms:

(x² + 8x + 16) + y² - 6y = 25 + 16

Simplifying:

(x + 4)² + (y² - 6y) = 41

(x + 4)² + (y² - 6y + 9) = 41 + 9

(x + 4)² + (y - 3)² = 50

Center: (-4, 3)

Radius: √50

14. x² + y² - 4x - 12y - 129 = 0

Rearranging the equation:

x² - 4x + y² - 12y = 129

Completing the square for x terms:

(x² - 4x + 4) + y² - 12y = 129 + 4

Simplifying:

(x - 2)² + (y² - 12y) = 133

(x - 2)² + (y² - 12y + 36) = 133 + 36

(x - 2)² + (y - 6)² = 169

Center: (2, 6)

Radius: 13

15. x² + y² + 14x + 10y + 73 = 0

Rearranging the equation:

x² + 14x + y² + 10y = -73

Completing the square for x terms:

(x² + 14x + 49) + y² + 10y = -73 + 49

Simplifying:

(x + 7)² + (y² + 10y) = -24

(x + 7)² + (y² + 10y + 25) = -24 + 25

(x + 7)² + (y + 5)² = 1

Center: (-7, -5)

Radius: 1

16. x² + y² - 16x - 161 = 0

Rearranging the equation:

x² - 16x + y² = 161

Completing the square for x terms:

(x² - 16x + 64) + y² = 161 + 64

Simplifying:

(x - 8)² + y² = 225

Center: (8, 0)

Radius: 15

17. x² + y² = 24x + 4y - 85

Rearranging the equation:

x² - 24x + y² - 4y = -85

Completing the square for x and y terms:

(x² - 24x + 144) + (y² - 4y + 4) = -85 + 144 + 4

Simplifying:

(x - 12)² + (y - 2)² = 63

Center: (12, 2)

Radius: √63

18. x² + y² - 9x + 2y = x - 6y + 59

Rearranging the equation:

x² - 9x - x + y² + 2y + 6y = 59

Combining like terms:

x² - 10x + y² + 8y = 59

Completing the square for x and y terms:

(x² - 10x + 25) + (y² + 8y + 16) = 59 + 25 + 16

Simplifying:

(x - 5)² + (y + 4)² = 100

Center: (5, -4)

Radius: 10

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Answer:

x > -5, so the correct answer is C.

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Answer:

x=6;y=9

Step-by-step explanation:

First you try to find y in the second equation --> y/12=3/4

You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->

3*3=9  4*3=12.

Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)

Answer:

x=6; y=9

Step-by-step explanation:

The given inequality is

Remember that we need to isolate the variable in order to solve the inequality.

First, we sum 4 to each part of the inequality

Second, we divide each side by 3

This result means that the set of solutions for this inequality is all numbers equal to or less than 4.

4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

Given that,

A gold statue that is perched on a pedestal with a weight-sensitive alarm is replaced by a thief using a bag of sand. The statue and the bag of sand have the exact same volume, 1.55 L.

We have to calculate the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

We know that,

Mass of gold = Volume × Density

= 1.55×1000 cc × 19.3

= 29915 grams

= 29.915 Kg

Mass of sand = 1.55×1000×3

= 4650g

= 4.65 Kg

Volume = 1.55 L

= 1.55 × 1000 cc

= 1550 cc

Mass = Volume × Density

Mass of gold = 1550 × 19.3

= 29915 grams

= 29.915 kg

Mass of sand = 1550 × 3

= 4650 grams

= 4.65 kg

Therefore, 4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

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3645 points will Taylor earn when she completes Level 6.

Permutation is the arrangement of items in which order matters. In this situation order matters repetition allowed.

According to the question,

Taylor is playing a video game. She earns 15 points when she completes Level 1.

Each time she completes a level, she earns three times as many points as the previous level.

= 15 × \(3^{6-1}\)

= 15 × \(3^{5}\)

= 15 × 243

= 3645

Hence, 3645 points will Taylor earn when she completes Level 6.

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Answer:

  y = 0

Step-by-step explanation:

You want the horizontal asymptote of y=2x^2/3x^3.

Degree of numerator: 2

Degree of denominator: 3

When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...

  y = 0

__

Additional comment

This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.

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the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.

716 - 572 = 144

Answer:

105

Step-by-step explanation:

yeah-ya............. right?

9514 1404 393

Answer:

  t ≥ 40

Step-by-step explanation:

"No less than" is the same as "greater than or equal to".

  t ≥ 40

The ordered pair that makes both inequalities true are in the shaded area below:

From the options, the point (2, 2) is the only which is true for both equations.

Answer: (2, 2).