Which of the following statements is true about completing a square? A. When completing the square, subtract the square of half the coefficient of x from both sides of the equation. B. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation. C. When completing the square, add half the coefficient of x to both sides of the equation. D. When completing the square, add the square of half the coefficient of x to both sides of the equation.

Answer:

m and n are variables whereas 4 and 5 are constant terms or coefficient.

Step-by-step explanation:

hope it will help ^_^

Answer:

Below

Step-by-step explanation:

● 4 and 5 are constants since their values don't change.

● m and n are variables since they can take any value.

Answer:

$4

Step-by-step explanation:

If 1 carton is $4 than 12 cartons would be 48 dollars because 12*4 is 48. So each carton is $4. Please give brainliest Thanks

Answer:

a. around 36.36 hours; around 28.57 hours

b. $134.21; $159.38

Step-by-step explanation:

a. The driving time at 70 miles per hour is  28.57 hours

b The gasoline cost for this trip would be $159.38.

a. At an average speed of 55 miles per hour:

Time = 2000 miles / 55 miles per hour = 36.36 hours

At an average speed of 70 miles per hour:

Time = 2000 miles / 70 miles per hour = 28.57 hours

b. At an average speed of 55 miles per hour:

The car averages 38 miles per gallon on the highway.

Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 38 miles per gallon = 52.63 gallons

The gasoline cost for this trip would be: 52.63 gallons * $2.55 per gallon = $134.13.

At an average speed of 70 miles per hour:

The car averages 32 miles per gallon on the highway.

Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 32 miles per gallon = 62.50 gallons.

The gasoline cost for this trip would be: 62.50 gallons * $2.55 per gallon

= $159.38.

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Answer:

C. [tex]5 (\frac{x}{z}) ^1^0[/tex]

Step-by-step explanation:

Hey there!

Given

[tex]\frac{15 x^-^3 z^5}{3 x^7 z ^-^5}[/tex]

Well to solve this we first need to do 15 ÷ 3

= 5

When dividing exponents we actually subtract.

-3 - 7 = -10

5 - -5 = 10

[tex]5 x^-^1^0 z^1^0[/tex]

Hope this helps :)

Answer:

D.   5 (z/x)^10.

Step-by-step explanation:

15/3 = 5

x^-3 / x^7 = x^-10 = 1/x^10

z^5 / z^-5 = z ^10

So the answer is 5 * z^10 * 1/x^10

= 5 z^10 / x^10

= 5 (z/x)^10.

Answer:

A. Winning an election for class president.

Step-by-step explanation:

It would not be fair because in an election you have to vote and having people vote into what group to be in, would not be randomly assigned and it would not be fair.

Answer:

A

Step-by-step explanation:

Did it already

Answer:

2x + 2 > 10

2x > 10 - 2

2x > 8

x > 8

B. x > 4.

Answer:

B. x>4

Step-by-step explanation:

2x + 2 > 10

In order to solve this inequality, we must isolate the variable, x , on one side of the inequality.

2 is being added to 2x. The inverse of addition is subtraction. Subtract 2 from both sides of the inequality.

2x+ (2-2) > 10-2

2x > 10-2

2x > 8

x is being multiplied by 2. The invers of multiplication is division. Divide both sides of the inequality by 2.

2x/2 > 8/2

x > 8/2

x > 4

The solution to the inequality 2x+2 > 10 is x > 4 and the correct answer is B.

Answer:

1

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

integer has no decimal point.

The 2 integer seemingly that is present is 7 and 8.

HOWEVER, 7 is less than 7.2, so it is not the answer

7.2<8<8.8

So it fits in the range

Hope this helps!! :)

Please let me know if you have any question

Answer:$67.10

Step-by-step explanation:

Using the first statement we can generate the equation c= 0.18m + 10.4  where c is the cost and m is the number of minutes. So if you make 315 minutes of call then input  that for m and solve for c.

c= 0.18(315) + 10.4

c= 67.10  

Answer:

  ∠DAB = 80°

  ∠BAC = 105°

Step-by-step explanation:

You are given ...

  ∠DAC = 25° = (x -20)°

Adding 20°, we have ...

  x° = 45°

Then the measures of the other angles are ...

  ∠DAB = (2x -10)° = 2(45°) -10°

  ∠DAB = 80°

and

  ∠BAC = ∠DAB +∠DAC = 80° +25°

  ∠BAC = 105°

_____

Nothing in this problem statement defines a circle.

Answer:

24 inches

Step-by-step explanation:

Because we know that Pablo drew a square, we can correctly assume that all sides have equal lengths. There are four sides to a square, so taking the number 6, 4 times (6*4) gives us 24!

Answer:

P(A) ∪ P(B) ⊆ P(A ∪ B) can be proved when [tex]X[/tex] ∈ P ( A U B )

Step-by-step explanation:

To  Prove that P(A) ∪ P(B) ⊆ P(A ∪ B) is attached below and also a counter example to prove that we do not always get an equality is attached below as well

Answer:

0

Step-by-step explanation:

0/57 is going to be 0 since you have 0 out of 57 pizzas.

Answer:

90/330

Step-by-step explanation:

Aops Question

Answer:

width = 18 cm

Step-by-step explanation:

perimeter of rectangle = 2(length + width)

then:

90 = 2(27+w)

90/2 = 27+w

w = width

45 = 27+w

45 - 27 = w

18 = w

Check:

90 = 2(27+18)

90 =2*45                                       =

Answer:

A number increased by 9.

Step-by-step explanation:

A number= can be denoted by any letter.

increased= +

by 9= 9

Hope this helps ;) ❤❤❤

Answer:

BC=6

Step-by-step explanation:

The perimeter is the sum of all the side lengths.

Thus, add up all the sides.

And we already know the perimeter is 64. Thus:

[tex](3z)+(10)+(z-1)+(2z+3)+(10)=64[/tex]

Combine like terms and add the numbers:

[tex]6z+22=64[/tex]

Subtract 22 from both sides:

[tex]6z=42[/tex]

Divide by 6:

[tex]z=7[/tex]

So, z is 7.

BC is z-1. Therefore:

[tex]BC=z-1\\BC=7-1=6[/tex]

So, BC is 6.

Answer:

[tex]Area = 72in^2[/tex]

Step-by-step explanation:

Your question is incomplete without an attachment (See attachment)

Required

Determine the area of the shaded part

From the attachment;

Assume that the shaded portion is closed to the right;

Calculate  the Area:

[tex]Area_1 = Length * Width[/tex]

[tex]Area_2 = 8in * (6in + 6in)[/tex]

[tex]Area_2 = 8in * 12in[/tex]

[tex]Area_1 = 96in^2[/tex]

Next;

Calculate the Area of the imaginary triangle (on the right)

[tex]Area_2 = \frac{1}{2} * base * height[/tex]

[tex]Area_2 = \frac{1}{2} * (6in + 6in) * 4in[/tex]

[tex]Area_2 = \frac{1}{2} * 12in * 4in[/tex]

[tex]Area_2 = \frac{1}{2} * 48in^2[/tex]

[tex]Area_2 = 24in^2[/tex]

Lastly, calculate the Area of the Shaded Part

[tex]Area = Area_1 - Area_2[/tex]

[tex]Area = 96in^2 - 24in^2[/tex]

[tex]Area = 72in^2[/tex]

Hence,

The area of the shaded part is 72in²

Answer:

9 + (-4i) = 9 - 4i

Answer:

The system has 4 solutions

Step-by-step explanation:

When the two lines meet at a point it means that the point is a solution, in this case the lines meet 4 times.

Answer:

  21.9

Step-by-step explanation:

The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:

  x^2 = 9^2 +20^2 = 81 +400

  x = √481 ≈ 21.932

The length x is about 21.9 units.

Answer:

9/2π

=14.13716694

Step-by-step explanation:

The equation of the volume of the sphere:

V=4/3πr^3

If the diameter is 3cm, the radius is divided by 2, so 1.5cm.

Plug that in, 4/3π1.5^3

Use a calculator:

9/2π

=14.13716694

[tex]14,14~cm^{3}[/tex]

d = 3cm = 2r => r = d/2 = 3cm/2 = 1,5 cm

[tex]V=\frac{4}{3}\pi*r^{3}\\\\=\frac{4}{3}*\frac{22}{7}*3.375cm^{3}\\ \\=\frac{4*22*3.375}{21}cm^{3}\\ \\=\frac{297}{21}cm^{3}\\ \\[/tex]

≈ [tex]14,14~cm^{3}[/tex]

Answer:

97

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

Patterns are simply the rules that guide the formation of elements in a dataset. The highest numbered square that is painted blue is 97.

The sequence is given as:

[tex]Blue = 1[/tex]

[tex]Red = 2[/tex]

[tex]Green = 3[/tex]

The number of squares is given as:

[tex]n = 100[/tex]

First, we calculate the number of complete iteration of the sequence of squares.

[tex]Total = Blue + Red + Green[/tex]

[tex]Total = 1+2+3 =6[/tex]

So, the complete iteration (k) is:

[tex]k = \frac{n}{Total}[/tex]

[tex]k = \frac{100}{6}[/tex]

[tex]k = 16.67[/tex]

Remove decimal (do not approximate)

[tex]k = 16[/tex]

Next, calculate the position of the last element in the iteration.

[tex]Position = k \times Total[/tex]

[tex]Position = 16 \times 6[/tex]

[tex]Position = 96[/tex]

The blue square is the first on each iteration.

So, the highest numbered blue square is:

[tex]Highest = Position + Blue[/tex]

[tex]Highest = 96 + 1[/tex]

[tex]Highest = 97[/tex]

Hence, the highest numbered square that is painted blue is 97.

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Answer:

54 cm^2.

Step-by-step explanation:

Area = 1/2 * altitude * base

= 1/2 * 6 * 18

= 54 cm^2.

Answer:

Value in $= 3x -600

Step-by-step explanation:

Let the value of the stock before investment= x

At the first year , the value tripled

Value after first year=3x

The second year , the stock reduces by $600.

So

The value of the stock after the second year

Value in $= 3x -600

Answer:

137

Step-by-step explanation:

Given the following :

Margin of Error (E) = 7% = 0.07

Confidence level = 90% = 0.9

Prior study (p) = 54% = 0.54

Using the sample size formula:

([Z/E]^2) × p × (1 - p)

(1 - p) = 1 - 0.54 = 0.46

Z score at 90% confidence interval. = 1.645

[(1.645 / 0.07)^2] * 0.54 * 0.46

(23.5^2) * 0.54 * 0.46

552.25 * 0.54 * 0.46

= 137.1789

= 137

Sample size = 137

Answer:

12. 50 degrres

13. 90 degrees

14. 40 degrees

15. 50 degrees

16. 130 degrees

17. 90 degrees

Step-by-step explanation:

12. Angle UAY is equal to 50 degrees as it is stated in the graph

13. Angle YAZ is 90 degrees, as there is a square at the angle, meaning that the angle is a right angle.

14. Angle ZAX + Angle UAY + Angle YAZ = 180, as it is supplementary.

We know Angle UAY and Angle YAZ, so we can find Angle ZAX

Angle ZAX = 180 - UAY - YAZ = 180 - 50 - 90 = 40 degrees

15. Angle XAW = 50 degrees, as it is vertical angles with Angle UAY.

16. Angle WAU = Angle YAX = Angle YAZ + Angle ZAX = 90 + 40 = 130 degrees

17. Angle ZAW and Angle YAZ are supplementary, so they add up to 180 degrees.

Angle YAZ = 90 degrees, so Angle ZAW must also equal 90 degrees.

Answer:

(3x-2y)(3x+2y)

Step-by-step explanation:

Proof:

(3x-2y)(3x+2y)-use FOIL method (First, Outer, Inner, Last)

3x*3x+2y3x-2y3x-2y*2y

9x^2+0-4y^2

9x^2-4y^2

The answer is (3x-2y)(3x+2y).