Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair

Answer:

1760 cm³

Step-by-step explanation:

Volume For top "trapezoidal" prism : (14 * 4)/2 * 20 = 28 * 20 = 560

Volume for bottom rectangular prism = 6 x 10 x 20 = 60 x 20 = 1200

1200 + 560 = 1760 cm³

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-Chetan K

Answer:   876

Step-by-step explanation:so all you need to do is go into  

Answer:

See image below:)

Step-by-step explanation:

The x and y intercept is -4 or -6 and -16 respectively.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given function: f(x)=- 4|x+5|+4

So, 0= -4|x+5|+4

    -4|x+5|=-4

    |x+5|=1

 x= -6 or -4.

 then y=-20+4

        y=-16

Hence, the intercepts are -6 or -4 and -16.

Learn more about intercepts here:

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9514 1404 393

Answer:

  A

Step-by-step explanation:

It is usually sufficient to look at one section of the graph to answer a question like this. Often the best choice is the section that has a solid dot at the end of the curve. Here, that is the right section.

The left end of the right section is at x=-2, so that part of the function is defined for x ≥ -2. The line to the right has a positive slope, so the coefficient of x will be positive.

Only one answer choice has a positive x-coefficient for x ≥ -2.

  [tex]\textbf{A. }\begin{cases}-x-2&\text{if }x<-2\\x+4&\text{if }x\ge-2\end{cases}[/tex]

Answer:

Step-by-step explanation:

This graph is made up of two different, separate line segments.  In other words, it comes in two pieces which can be described as a pair of linear functions.

We call this a "piecewise linear" function.  Choice A is the best one.

Answer:

Step-by-step explanation:

Distance : [tex]\sqrt{(x2-x1)^2 + (y2 - y1)^2} = \sqrt{(9-2)^2 + (-9+14)^2}= \sqrt{49 + 25} = \sqrt{74}[/tex]

Midpoint :

x (m) = (2+9)/2 = 11/2

y (m) = (-14-9)/2 = -23/2

M (11/2, -23/2)

Answer:

d. static

Step-by-step explanation:

This is a question about Java programming.

A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.

Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.

Answer:

a. Photographer A by $10

b. Photographer B by $25

Answer: (B)10-20

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

Step-by-step explanation:

Answer:

A is the closest

9514 1404 393

Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

Answer:

7.8 feet

Step-by-step explanation:

We can determine the Horizontal distance using trigonometry ;

Using the relation :

Cosθ = adjacent / hypotenus

Cos 61 = x / 16

x = cos 61 * 16

x = 0.4848096 * 16

x = 7.756

x = 7. 8 feet

Answer:

1/4

Step-by-step explanation:

Have a nice day :)

ten un buen dia :)

Answer: 3/16 es menor than 1/4.

Answer:

[tex]x^{2} + 2x - 1[/tex]

Step-by-step explanation:

We are solving for :

[tex]\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}[/tex]

Factor [tex]x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)[/tex]

[tex]\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}[/tex]

= [tex]x^{2} + 2x - 1[/tex]

Answer:

x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x

180°-167°=13°

For the given triangle the measure of the angle x is = 3 degrees.

Labeling the given figure,

since angle C and angle B are alternate angles

Therefore,

For the triangle ABE

The interior angle for A = x

The interior angle for B = 180 -98

                                       = 92 degree

Since we know that,

The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.

Therefore,

⇒ x  + 92 = 180 - 85

⇒ x  = 3 degrees.

Hence,

The measure of the angle x is = 3 degrees.

Learn more about the triangle visit;

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Given the quadratic function below:

[tex] \large{f(x)= - {x}^{2} - 4x - 19}[/tex]

To find f(-9), simply substitute x = -9 in the function.

[tex] \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}[/tex]

Answer

Let me know if you have any doubts regarding the function.

9514 1404 393

Answer:

 $27,026.90

Step-by-step explanation:

The future value formula can be solved to find the present value required.

  FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years

  $100,000 = P(1 +0.08)^17

  P = $100,000/3.70002 . . . . divide by the coefficient of P

  P = $27,026.90

You would need to deposit #27,026.90 now to reach this goal.

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

Now, find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

On further simplification, we get

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Hence, the expected winnings for this game are $3.50.

Answer:

the answer is 3.

Step-by-step explanation:

Difference between means to subtract.

8 - 5 = 3

Answer:

8- a = 5

Step-by-step explanation:

Answer:

x = 111

Step-by-step explanation:

180- 82 -29 is 69 and 180-69 is x which x is equal to 111

Answer:

111°

Step-by-step explanation:

By exterior angle theorem:

[tex]x = 82 \degree + 29 \degree \\ = 111 \degree[/tex]

Answer: My teacher told me to use 180 and divide something.

Step-by-step explanation:

Answer:

isnt itjust 15?

Step-by-step explanation:

1 +1+1+1 = 4  5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry

Answer:

a) 2/3

b) 1/2

c) 1/6

Step-by-step explanation:

2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6

Answer:

P( not white )  =2/3

P ( red)= 1/2

P( black)  = 1/6

Step-by-step explanation:

2 white balls, 3 red balls and a black ball. = 6 balls

P( not white )  = number of balls not white / total = 4/6 =2/3

P ( red) = number of balls that are red/ total = 3/6 = 1/2

P( black) = number of balls that are black/ total = 1/6

Answer:

Step-by-step explanation:

You have the domain. It is given as -1≤x≤1

Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.

Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0

I've included a graph so you can see how this all works.

So the range = 1 ≤ y ≤ 3

Answer:

-28 1/3

Step-by-step explanation:

-8 1/3= -25/3

3 2/5= 17/5

-25/3*17/5= -28 1/3

9514 1404 393

Answer:

  60 gallons

Step-by-step explanation:

The area of the trapezoid-shaped wall is given by ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.

The area of the wall is ...

  A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²

If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.

Isha needs 60 gallons of paint.

Answer:

Isha needs 60 gallons of paints to the wall.

Step-by-step explanation:

The area of trapezoid shaped like wall is given by :-

Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H

Where,

B ¹ and B ² are the length of bases and H is the perpendicular distance between them.

Area of wall = 1/2 × ( Base¹ + Base²) × Height

Where, according to question we have

substitute the values

Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft

add the values of Base¹ and Base ²

Area = 1/2 × 20 ft × 6 ft

multiply

Area = 1 / 2 × 120 ft ²

divide

Area = 120 ft ² / 2 = 60 ft ²

It takes 1 gallon to cover 1 ft ². ... ( given)

So, For covering 60 ft ² it takes 60 gallons .

check

( 1 × 60 ) gallon = 60 ft ²

60 gallon = 60 ft²