Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?

Answer:

I believe it would be A

Step-by-step explanation:

Answer:

[tex]32\ and\ 34.[/tex]

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

[tex]x+x+2=66[/tex]

[tex]2x+2=66[/tex]

Subtract 2 from both sides:

[tex]2x+2-2=66-2[/tex]

[tex]2x=64[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{64}{2}[/tex]

[tex]x=32[/tex]

The smaller number is 32.

Larger number [tex]=32+2=34[/tex]

the remainder is - 1

when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )

x + 3 = 0 => x = - 3

f(-3) = (-3)³ - 7(-3) + 5

= - 27 + 21 + 5

= - 1

Answer:

-4

Step-by-step explanation:

Step-by-step explanation:

We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)

Let me know what are you looking for regarding this polynomial!

Answer:

(x+2)(x+3)

Step-by-step explanation:

x^2+5x+6

x^2+(2+3)x+6

x^2+2x+3x+6

x(x+2)+3(x+2)

(x+2)(x+3)

Answer:

let (8,0) be (x1,y1)

(3,4) be (x2,y2)

Distance

= √[(x2-x1)² + (y2-y1)²

√[(3-8)²+(4-0)²

√(25+16)

√41

Answer:

C,  pounds

Step-by-step explanation:

grams and ounces are automatically out because they just don't make sense, and a car can't weigh 4500 tons, it would be too heavy to drive.

hope this helps!!!

Given:

Coordinates of point A are (2,8).

Point M(-2,2) is the midpoint of AC.

To find:

The coordinates of C.

Solution:

Let the coordinates of point C are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the above formula, the midpoint of A(2,8) and C(a,b) is

[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{2+a}{2}=-2[/tex]

[tex]2+a=-4[/tex]

[tex]a=-4-2[/tex]

[tex]a=-6[/tex]

and,

[tex]\dfrac{8+b}{2}=2[/tex]

[tex]8+b=4[/tex]

[tex]b=4-8[/tex]

[tex]b=-4[/tex]

Therefore, the coordinates of point c are (-6,-4).

Answer:

6 x + 3 y = 3x+ 3(x + y)  or 3 (2 x + y)

Step-by-step explanation:

all exxpressions are equivalent

Answer: 6x + 3y & 3(x + x + y)

Step-by-step explanation:

Answer:

162.56

Step-by-step explanation:

Answer:

[tex]L = 0.83\ in[/tex]

Step-by-step explanation:

Given

Width = 1.2 in when Length = 1 in

Required

Determine the length when width = 1 in

First, we need to determine the ratio:

[tex]Ratio = \frac{Width}{Length}[/tex]

[tex]Ratio = \frac{1.2}{1}[/tex]

[tex]Ratio = 1.2[/tex] --- (1)

Let the required Length be represented with L

So:

[tex]Ratio = \frac{Width}{Length}[/tex]

[tex]Ratio = \frac{1}{L}[/tex] --- (2)

Equate (1) and (2)

[tex]\frac{1}{L} = 1.2[/tex]

Multiply through by L

[tex]L * \frac{1}{L} = 1.2 * L[/tex]

[tex]1 = 1.2 * L[/tex]

Divide through by 1.2

[tex]L = \frac{1}{1.2}[/tex]

[tex]L = 0.83\ in[/tex] (Approximated)

Answer:

25 /18  = 1 7/18 ≈ 1.389

Answer:

1.38

Step-by-step explanation:

2.5/1.8

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

y=1

Answer:

Joyce should write [tex]1,8,64,512,4096[/tex]

Step-by-step explanation:

Let's analyze the procedure of how the pictures are formed.

Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.

For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.

For the third image, there are 8 squares formed by 8 red squares each one.

The number of red squares is 8 x 8 = 64

We can write the sequence as

1 , 8 , 64 ⇒ 1 , 8 , [tex]8^{2}[/tex]

For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.

The sequence so far is

1 , 8 , 64 , 512 ⇒ 1 , 8 , [tex]8^{2}[/tex] , [tex]8^{3}[/tex]

We can generalize the sequence and write that the sequence is :

[tex]8^{n}[/tex] with [tex]n[/tex] ∈ IN ⇒ The first five numbers will be

[tex]8^{0},8^{1},8^{2},8^{3},8^{4}[/tex] = [tex]1,8,64,512,4096[/tex]

Answer:

6

Step-by-step explanation:

Because 5.8 is closer to 6 than it is to 5.

6

If you want to round to the nearest whole number, the answer would be 6. Remember, if the number right after the decimal is higher than 5, you want to round up, if the number is lower that 5, you will want to round down. I hope this helped!! :)

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

Division is one of the four fundamental arithmetic operations. The number of batches of cookies to make from a bag of flour is 40.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that a bag of flour contains ten cups of flour. And one batch requires 1/4 cup of flour. Therefore, we can write,

The number of cups of flour in a bag = 10 cups of flour

The number of cups required to make one batch of cookies = 1/4 cup of flour

The number of batches of cookies can be made with a  bag of flour is,

Number of Batches = 10 cups of flour / 1/4 cup of flour per batch

                                = 40 batches

Thus, the number of batches of cookies to make from a bag of flour is 40.

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Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

[tex]Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x[/tex]

Formula for the area of the rectangle is

[tex]Area=length \cdot width\\A=length(x)[/tex]

Replace the length we got using perimeter

[tex]A=(30-x)(x)\\A(x)= 30x-x^2[/tex]

To find out the maximum are we take derivative

[tex]A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15[/tex]

find out second derivative to check whether x=15 is maximum

[tex]A''(x)=-2[/tex]

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]

So, maximum area is 225 square feet

Answer:

Don't get wrong i think its d

Step-by-step explanation:

Answer:

The maximum number of text messages you can send per month would be 23.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.17, so that would need a variable since it can change each month.  You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.17x+24.99≤29 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.17x≤4.01

3. Now, divide each side by 0.17.  Now your inequality is x≤23.59.  This represents how many text messages you can send per month without going over 29.

4. Finally, you have to realize that is impossible to send exactly 23.59 text messages.  So, you have to round down to 23 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

Step-by-step explanation:

6 ties

Half of 20 is 10, and half of 4 is 2

Therefore, 4+2=6

Answer:

6 ties

Step-by-step explanation:

Answer:

x = 1/2 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

abs(12 x + 12) = 18

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

12 x + 12 = 18 or 12 x + 12 = -18

Hint: | Look at the first equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

12 x = 6 or 12 x + 12 = -18

Hint: | Solve for x.

Divide both sides by 12:

x = 1/2 or 12 x + 12 = -18

Hint: | Look at the second equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

x = 1/2 or 12 x = -30

Hint: | Solve for x.

Divide both sides by 12:

Answer: x = 1/2 or x = -5/2

x = a number

6(x+5)=16

Answer:

If you're using x for "a number" then: 6(x+5)=16

Answer:

When adding integers with the same sign, the sum is equal to the sum of the absolute values of each addend and has the sign common to the addends. Both addends are positive, so the sum is positive. Both addends are negative, so the sum is negative

Step-by-step explanation:

Answer:

4.30m/hr

Step-by-step explanation:

2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30

In meters per hour the speed is 470 meters per hour.

We have an object moving at a speed of 2 feet every 8.5 minutes.

We have to express this speed in meters per hour.

1 feet = 3.29 meters

1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr

According to question - We have :

Speed = 2 feet in 8.5 minutes

We know -

1 feet = 3.29 meters

2 feet = 2 x 3.29 = 6.58 meters

and

1 minute = 0.017 hr

8.5 minutes = 8.5 x 0.017 = 0.14 hr

Now -

In 0.014 hr, distance covered = 6.58 meters

In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour

Hence, in meters per hour the speed is 470 meters per hour.

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