The diagonal of a square is x units. What is the area of the square in terms of x? One-half x squared square units x squared square units 2x square units One-half x square units

Answer:

solution,

[tex]a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x[/tex]

[tex]b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x[/tex]

[tex]c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x[/tex]

[tex]d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x[/tex]

Hope this helps...

Good luck on your assignment..

Explanation:

The first set {x | x < -3} means we're talking about numbers smaller than -3. This includes -4, -5, -6, etc

The second set {x | x > 5} means we're talking about numbers larger than 5. So things like 6,7,8,...

Combining both at the same time, we want to find a number that is both smaller than -3 and larger than 5. This is impossible as no such number exists. You can pick one or the other, but not both.

There are no solutions. Since there are no solutions, the solution set is the empty set.

Answer:

O=on

X=off

OXXOXOX  after 2011 flips.

Step-by-step explanation:

There are many ways to get the answer.

A. Actually flip them 2011 times.

One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.

Now flip the cards in order A to G 2011 times and find the answer.  

Since you have four days to find the answer, you only have to flip about 500 times a day.

B. Simplify procedure A above.

Do the same as above, actually flip the cards, but only 14 times.

You will find that the cards are restored to the original position after 14 flips.  

If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.

We know we don't have to make 143 sets of 14 flips.  We only need to make 9!

Then again, we know that after 7 flips, the lights will be all opposite.

If O=on, and X=off then the situations are

OXOXOXO  initial

XOXOXOX  after 7 flips

OXXOXOX  after 9 flips, which is also after 2011 flips, and that is the final answer.

Answer:

[tex]t = 2.86 \: s[/tex]

The ball remains in the air for 2.86 seconds.

Step-by-step explanation:

A baseball is hit into the air, and its height above the ground is described by the function

[tex]H(t) = -16t^2 + 45t + 2[/tex]

Where H(t) represents the height of the ball t seconds after it is hit.

The ball remains in the air before it hits the ground.

When the ball hits the ground,

[tex]H(t) = 0[/tex]

So,

[tex]0 = -16t^2 + 45t + 2[/tex]

The equation may be solved using the quadratic formula.

[tex]$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Where

[tex]a = -16 \\\\b = 45 \\\\c = 2 \\\\[/tex]

So,

[tex]t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\[/tex]

Since the time cannot be negative, discard the negative value and accept the positive value

[tex]t = 2.86 \: s[/tex]

Therefore, the ball remains in the air for 2.86 seconds.

Answer:

D

Step-by-step explanation:

you can put the function in your graphing calculator & the x-intercept is where the line crosses threw the line that goes left & right vise versa for the y-intercept.

Answer:

16

Step-by-step explanation:

Apply PEMDAS:

Solve the exponent, multiply from left to right, and then subtract and add from left to right.

[tex]3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}[/tex]

Answer: 16

Step-by-step explanation:

The important thing to remember here is the Order of Operations

The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.

There are no parentheses.

Exponents: 3 - 4+4*3+5

Multiplication and Division: 3 - 4 + 12 + 5

Addition and Subtraction:

-1+12+5

11+5

16

Hope it helps <3

Answer:

≈ 10.7 ft

Step-by-step explanation:

We have 2 secants to a circle from an external point.

The product of the measure of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

let the internal part of the right secant be x , then

6(6 + x) = 4(4 + 12) = 4 × 16 = 64 ( divide both sides by 6 )

6 + x ≈ 10.7 ( subtract 6 from both sides )

x ≈ 4.7

length of pass = 6 + 4.7 = 10.7

Answer:

To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.

7a - 11b - (2a + b + a - 9b)

= 7a - 11b - (3a - 8b)

= 7a - 3a - 11b + 8b

= 4a - 3b

Answer:

The other side = [tex]\frac{1}{12}[/tex] units

Step-by-step explanation:

A right triangle has a side of length [tex]\frac{1}{4}[/tex] units and;

the hypotenuse is [tex]\frac{1}{3}[/tex]

According to Pythagorean theorem,

a² + b² = c² , where a and b are the two legs of a triangle and c is the hypotenuse.

Lets say a² = [tex](\frac{1}{4}) ^2[/tex]   and  c² = ([tex](\frac{1}{3} )^2[/tex]

b² = c² - a²

b² = [tex]\frac{1}{9}[/tex] - [tex]\frac{1}{16}[/tex] = [tex]\frac{1}{144}[/tex]

So b = [tex]\sqrt{1/144}[/tex] = [tex]\frac{1}{12}[/tex] units.

So the other side = [tex]\frac{1}{12}[/tex] units.

Answer:

the ratio would be 1:4

Step-by-step explanation:

ratio of those who has nuts:

1/5

ratio of those who dont:

1-1/5=4/5

one against another:

1/5 : 4/5 = 1:4 = with : without

Answer:

Check it below

Step-by-step explanation:

According to GHG platform India, in the period between [2011-2015] there was a growth of emissions in tons of Carbon Dioxide. As it follows below.

The Energy sector is the segment that contributes the most with this, followed by the Agricultural and the Industries and the Waste.

Answer:

61 seats.

Step-by-step explanation:

This is an example of an arithmetic sequence.

The formula for this is an = a + (n - 1)d

Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.

We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.

a19 = 25 + (19 - 1) * 2

a19 = 25 + 18 * 2

a19 = 25 + 36

a19 = 61

So, there are 61 seats in the 19th row.

Hope this helps!

Answer:

i think 61 i hope im right

Step-by-step explanation:

Answer:

by definition : Additional expenses made after buying an article are included in the cost price and are known as overhead expenses.

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.

Step 1: Move negative exponents

[tex]\frac{2^25^6}{2^35^35^2}[/tex]

Step 2: Combine exponents

[tex]\frac{2^25^6}{2^35^5}[/tex]

Step 3: Remove like terms

[tex]\frac{5^1}{2^1}[/tex]

Step 4: Exponent

5/2

Answer:

( x+1) (x+3) (x+4)

Answer:

R0,180(x,y)->(-x,-y)

Step-by-step explanation:

R0,180(x,y)->(-x,-y)

We note that

X(-2,2) has been transformed to X'(2,-2), and

Y(1,2) has been transformed to Y'(-1.-2)

[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex] are the choice that's description can be defined as follows:

Therefore, the final choice are "[tex]\bold{R_0,\ 180^{\circ}}\ \ and \ \ \bold{(x,y)\longrightarrow (-x,-y)}[/tex]".

Learn more:

brainly.com/question/4546154

Answer:

24, 32, 64

Step-by-step explanation:

12x=6x+48

-6x  -6x

6x=48

x=8

8(3)=24

8(4)=32

8(8)=64

Answer:

24, 32, 64

Step-by-step explanation:

1st=3x

2nd=4x

3rd=8x

2(3x)+48=4x+8x

6x+48=12x

48=6x

x=8

SO:

1st =24

2nd= 32

3rd= 64

Answer:

$2.3

Step-by-step explanation:

6oranges=2.76$

5oranges=?

5×2.76/6.

=$2.3

Answer:

a) 896 ways

c) 910 ways

Step-by-step explanation:

The question is a combination problem since it has to do with selection. In combination, if r object is selected from a pool of n objects, this can be done in nCr ways.

nCr = n!/(n-r)!r!

If from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed, we need to first calculate the total committee formed without any condition.

8C3 × 6C3

= 8!/5!3! × 6!/3!3!

= 8×7×6×5!/5!×6 × 6×5×4×3!/3!×6

= 56×20

= 1120ways

Now if;

a) two of the men refuse to serve together.

Since two men refuse to serve together, we will select 1 man from remaining 4 men since two has already been selected then select 3 from 8 women as shown.

4C1×8C3

= 4×56

= 224ways

Number of ways this can be done will be 1120-224 = 896ways

b) 1 man and 1 woman refuse to serve together

We need to choose 2 men from remaining 5 and 2 women from the rest of the men which is 7 as shown:

= (8-1)C(3-1) × (6-1)C(3-1)

= 7C2 × 5C2

= 7!/5!2! × 5!/3!2!

= 7×6×5!/5!×2 × 5×4×3!/3!×2

= 21×10

= 210ways

The number of ways this can be done will be 1120-210 = 910ways

Answer:

6 3/16

Step-by-step explanation:

8.25x.75=6.1875, or 6 & 3/16

Answer:

[tex]6\frac{3}{16}[/tex]

Step-by-step explanation:

[tex]8 \frac{1}{4} * \frac{3}{4} \\\\\frac{33}{4} * \frac{3}{4} = \frac{99}{16} \\\\\frac{99}{16} = 6\frac{3}{16}[/tex]

Hope this helps! :)

- Clout Answers

Brainliest is greatly appreciated :)

Answer:

64

Step-by-step explanation:

Answer:

Solution,

[tex] {(2x)}^{3} - 8 \\ [/tex]

[tex]( {2x)}^{3} - {(2)}^{3} [/tex]

Use the formula:

[tex] {a}^{3} - {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

now,

[tex](2x + 2)( {(2x)}^{2} - 2x \times 2 + {(2)}^{2} )[/tex]

[tex](2x + 2)( {4x}^{2} - 4x + 4)[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

59.65

Step-by-step explanation:

2 decimal places is to the hundredths place.

Answer: 59.65

Step-by-step explanation: When rounding a number to a given place, look at the next place y o the right. If that digit is 5 or more, "round up" by adding one to the given place.

If the number to the right is 4 or less, leave the given place "as is"

In this example, the hundredths place is 4, the place to the right has an 8. So you round up the 4 to a 5. You end up with 59.65

Answer:

y = -4

Step-by-step explanation:

5.1y = –0.3y – 21.6

5.1y + 0.3y = -21.6

5.4y = -21.6

y = -4

Answer:

y=  -4

Step-by-step explanation:

Solve this equation with a variable term on both sides.

5.1y = –0.3y – 21.6

What is the solution?

y =  -4

Answer:

x=80

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x.  Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).

The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).

Step-by-step explanation:

Answer:

She found 19 pennies and 21 dimes

Step-by-step explanation:

Let the number of dimes present be d and the number of pennies present be p

From the question, the total of both is 40

Mathematically;

p + d = 40 •••••••(i)

While a penny worths 1 cent, a dime is worth 10 cents

Total penny amount would be 1 * p = p cents

While total dime amount would be 10 * d = 10d cents

Before we add both to give the total amount, let’s convert this total amount to cents and that would be 2.29 * 100 = 229 cents

So mathematically;

p + 10d = 229 •••••••(ii)

So let’s solve both equations simultaneously

From i) p = 40 - d

let’s put this into equation ii

40 - d + 10d = 229

40 + 9d = 229

9d = 229-40

9d = 189

d = 189/9

d = 21

Recall;

P = 40-d

P = 40-21

P = 19

40% is kept for the running of the business.

Multiply the profit by 40%

1,350,000 x 0.40 = 540,000

The amount kept for the business is 540,000