Gift Wrapping A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?

Answer:

Step-by-step explanation:

Rewrite this function as g(x) = 3(x + 1)(x - 2)

Set each factor equal to zero in turn, solving for x each time:

x + 1 => x = -1  (the lesser zero)

x - 2  =>  x = 2  (the greater zero)

Answer:

lesser x =-1

greater x =2

Step-by-step explanation:

khan verified

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:1.36 for the chips

Step-by-step explanation:

15-9.99=5.01

5.01-3.65=1.36

Answer:

$1.36

Step-by-step explanation:

First you do $15.00 - $3.65 = $11.35 Then, $11.35 - $9.99 = $1.36.

Answer:

A. Inside the circle

Step-by-step explanation:

K(0, 0), U (6, - 4), V (\( \sqrt 2,\: 7)\)

In order to determine whether point V lie inside, outside or on the circle, first we will find the distances between points K & U and then K & V.

KU would be radius of the circle.

\(d(KU) = \sqrt{ {(6 - 0)}^{2} + {( - 4 - 0)}^{2} } \\ = \sqrt{ {6}^{2} + {( - 4)}^{2} } \\ = \sqrt{36 + 16} \\ \red{ \bold{ d(KU)= \sqrt{52} }} \\ \\ d(KV) = \sqrt{ {( \sqrt{2} - 0)}^{2} + {( 7 - 0)}^{2} } \\ = \sqrt{ {( \sqrt{2)} }^{2} + {(7)}^{2} } \\ = \sqrt{2 + 49} \\ \purple{ \bold{ d(KV)= \sqrt{51} }} \\ \\ \because \: d(KU) > d(KV) \\ \)

Hence point V lie inside of the circle.

Answer:

8.25

Step-by-step explanation:

(-10,-7) (-8,1) find the distance between the two points show work.

The formula for calculating the distance between the two points is expresses as;

D = √(x2-x1)²+(y2-y1)²

D = √(-8+10)²+(1+7)²

D = √(2)²+8²

D = √4+64

D = √68

D = 8.25

Hence the distance between the two points is 8.25

Answer:

pic 1 goes first second pic second slot

Step-by-step explanation:

The nonresponse caused the results of the survey to be biased as C. Those who did not respond caused a violation of the assumption of independence.

It should be noted that each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?

In this case, the nonresponse caused rhe results of the survey to be biased as those who did not respond caused a violation of the assumption of independence. Those who did not respond may differ in some important way from those who did respond

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The slope of the line that passes through the points (1, -1) and (5, -7) is -3/2. The correct option is A. -3/2

From the question, we are to determine the slope of the line that passes through the given points.

The slope, m, of a line that passes through the points (x₁, y₁) and (x₂, y₂) is given by

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

x₁, y₁) and (x₂, y₂) are points on the line

From the given information,

The given points on the line are (1, -1) and (5, -7)

Thus,

The slope of the line is

m = (-7 - (-1)) / (5 - 1)

m = (-7 + 1) / 4

m = -6 / 4

m = -3/2

Hence, the slope is -3/2

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Paige's profit for the three-month period given the information provided in the question is $569.84.

Profit is the difference between total revenue and total cost. Revenue is the product of total units sold and the price per output.

Profit = revenue - cost

Revenue from selling the $15 bracelet = total bracelets sold for the 3 months x price of the bracelet

(8 + 11 + 22) x 15

41 x $15 = $615

Revenue from selling the $20 bracelet =  total bracelets sold for the 3 months x price of the bracelet

(7 + 6 + 14) x $20

27 x $20 = $540

Total revenue = $615 + $540 = $1,155

Total cost =  $292.58  x 2  = $585.16

Profit = $1,155 - $585.16 = $569.84

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The function of the town's population is an exponential growth

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

Initial population = 3800

Growth  rate = 2% every year

From the above, we understand that

There is a growth in the population by 2% every year

Using the above as a guide, we have the following:

This means that the function is an exponential growth

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Using both the first and second derivative tests, the local maximum and minimum values of f(x) = x² / (x - 1) are at x = 0 and x = 2.

Using a second derivatives test, we can determine the local maximum and lowest values.

According to the second derivatives test, when a function's slope at a given point is zero and its second derivative is:

1. Less than zero, a local maximum

2. If it is higher than 0 than it is a local minimum.

3. If it's zero, the test is unsuccessful.

I'll take the first derivative.

According to the question,

The given function is f(x) =  x² / (x - 1)

f’(x) = d(x² / (x - 1))

f’(x) = [x(x - 2)] / (x - 1)²

Let f’(x) = 0

=> [x(x - 2)] / (x - 2)² = 0

=> x(x - 2) = 0

=> x = 0 and x = 2

Taking second derivative,

f’’(x) = [(x2 - 2x + 1)(2x - 2) - (x2 - 2x) (2x - 2)] / ((x - 1)²)²

=> f’’(x) = (2x - 2) / (x - 1)⁴

Currently, f"(x) at x = 0

f’’(0) = -2 / (-1) (-1)⁴

f’’(0) = -2 < 0

It is therefore a local maximum.

Currently, f"(x) at x = 2

f’’(2) = (4 - 2) / ((2 - 1)²)²

f’’(2) = 2 / 1

f''(2) = 2 > 0

It is therefore a local minimum.

Thus, x = 0 and x = 2 represent the local maximum and minimum values.

The given question is incomplete , So I've answered in general to my knowledge

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Answer:

12 teams

Step-by-step explanation:

There are 12 potential captains and 48 potential players, so there are 60 people total.

If there are 5 people per team (1 captain & 4 players) and 12 teams, this would account for everyone. 12 x 5 = 60.

Hope this helped :)

Answer:

y = 9 - 5x

[x = -1] 14

[x = 0] 4

[x = 4] -11

Step-by-step explanation:

Step 1: Define

y + 5x = 9

x = -1, 0, 4

Step 2: Solve for y

y = 9 - 5x

Step 3: Plug in values of x

y = 9 - 5(-1) = 14

y = 9 - 5(0) = 4

y = 9 - 5(4) = -11

Answer:

18.84 miles

Step-by-step explanation:

Circumference = 2πr

= 2 × 3.14 × 3

= 18.84 miles

The exact circumference of the circle with radius 3 miles is 6π or 18.84 miles (approx).

The radius of a circle is 3 miles. What is the circumference?The formula to calculate the circumference of a circle is given as:

Circumference = 2πr, where r is the radius of the circle and π is a constant value, approximately equal to 3.14. Substituting the given value of r in the formula, we have:

Circumference = 2π(3)

Circumference = 6π

Therefore, the exact circumference of the circle is 6π miles. To simplify this answer in its simplest form, we can use the value of π as 3.14 (approximately).Circumference = 6π = 6(3.14) = 18.84Therefore, the exact circumference of the circle is 18.84 miles (approx).

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Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

The mass of a 2018 Olympic gold medal in hectograms is 58.6 hg.

First, we need to know the mass of the Olympic gold medal in grams. According to the question, the mass of an Olympic gold medal is 586 grams.

To convert grams to hectograms, we need to divide the mass in grams by 100. This is because there are 100 grams in 1 hectogram.

To do the division, we can use a calculator. Dividing 586 by 100 gives us 5.86.

The answer we get is in hectograms, so we can write it as 5.86 hg. This means that the mass of a 2018 Olympic gold medal is 5.86 hectograms.

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Step-by-step explanation:

Refer to pics...............

Answer:

See below

Step-by-step explanation:

Parts A-F

\(\angle M\cong \angle I\\\angle K\cong \angle O\\\angle N \cong \angle J\\?=NO\\?=LO\\?=LO\)

Basically, for angles, match the order of each letter respectively, and for line segments, same thing. For example, angle M in the first problem is congruent to angle I because their letters both come second in the polygons.

I hope this helps, feel free to comment if it doesn't and I'll try to explain further.

The inverse of the function y = 16x² + 17 is y = ±√(x - 17)/16

from the question, we have the following parameters that can be used in our computation:

y = 16x² + 17

So, we have

x = 16y² + 17

Make y the subject

This gives

y = ±√(x - 17)/16

Hence, the inverse of the function is y = ±√(x - 17)/16

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E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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 (x-3)² = 12 (y – 6)  is the equation for a parabola with the vertex (3, 6) and focus (3, 9) in it.

A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. The topic of conic sections includes parabola as a key component, and all related parabola topics are discussed. a plane curve produced by a point shifting such that its separation from a fixed point equals its separation from a fixed line: junction of a plane parallel to an element of a right circular cone with the cone. : a bowl-shaped object (such as an antenna or microphone reflector)

given

focus (3,9) and the vertex (3, 6)

general equation of parabola = (x - h)2 = 4a (y - k)

a = |y2 - y1| = | 9 - 6 |

a = 3

so

(x - 3 )\(^{2}\) = 4 * 3 ( y - 6 )

= \((x-3)^{2} = 12 ( y - 6 )\)

 (x-3)² = 12 (y – 6)  is the equation for a parabola with the vertex (3, 6) and focus (3, 9) in it.

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If there exists a solution, then the vector (1, 6, 2) is a linear combination of the given vectors. We can solve this system of equations to determine the values of a, b, and c.

To determine whether the vector (1, 6, 2) is a linear combination of the vectors (1, 2, -1), (3, 1, 1), and (-4, 0, 6), we need to check if there exist scalars (constants) such that when we multiply each vector by its respective scalar and sum them up, we obtain the vector (1, 6, 2). Let's assume the scalars are a, b, and c for the three vectors respectively.

We can set up the following system of equations:

a(1, 2, -1) + b(3, 1, 1) + c(-4, 0, 6) = (1, 6, 2)

This can be written as:

(1a + 3b - 4c, 2a + b, -a + b + 6c) = (1, 6, 2)

By comparing the corresponding components, we obtain the following system of equations:

1a + 3b - 4c = 1

2a + b = 6

-a + b + 6c = 2

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Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

There are 13,992 integers between 1 and 1,000,000 with a sum of digits equal to 15.

To find the number of integers between 1 and 1,000,000 with a sum of digits equal to 15, we can use a combinatorial approach.

We need to distribute the sum of 15 among the digits of the number. We can think of this as placing 15 indistinguishable balls into 6 distinct boxes (corresponding to the digits).

Using the stars and bars method, the number of ways to distribute the sum of 15 among 6 boxes is given by the combination formula:

C(n + r - 1, r - 1)

where n is the sum (15) and r is the number of boxes (6).

Plugging in the values, we have:

C(15 + 6 - 1, 6 - 1) = C(20, 5)

Calculating this combination, we find:

C(20, 5) = 13,992

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Step-by-step explanation:

A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction

and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.

that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.

and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.

so, there is no rectangle or square.

but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.

and that makes it a rhombus.

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Answer : (a) Histogram for the data provided by the students: 150 words (Latex free code)frequency Number of Movies 30|     28|     26|     24|     22|     20|     18|     16|     14|     12|     10|     8|     6|     4|     2|     0|     1    2    3    4    0 5  1   2   3   4   Number of Movies LUI LLLLL    Frequency

Explanation :

A histogram for the number of movies watched by the students can be made. The frequency of each of the intervals can be measured and recorded to get the plot.

Here, the frequency is calculated to find the histogram since it is the number of times that the data point occurs. It is constructed using latex-free code.

Each bar width is equal to 1 and the height represents the frequency of each interval. The x-axis represents the number of movies watched and the y-axis represents the frequency of the movies.Frequency is calculated by simply counting the number of times that data point appears.

It is also important to label the axes, indicate the type of data represented, and title the graph according to the purpose.

The required answer is Histogram for the data provided by the students: 150 words (Latex free code)frequency Number of Movies 30|     28|     26|     24|     22|     20|     18|     16|     14|     12|     10|     8|     6|     4|     2|     0|     1    2    3    4    0 5  1   2   3   4   Number of Movies LUI LLLLL    Frequency

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