Anna divided a sheet of paper into 5 equal sections and colored 3 sections blue . What percent is that

Answer:

Degree of polynomial → 4

Step-by-step explanation:

Conjugate roots theorem states that if a polynomial has a root (a + ib), then (a - ib) will be the other root.

In this question it has been given that a polynomial function has the zeros (roots) as x = \(\sqrt{3}\), 4i and -2.

Therefore, the given polynomial will have four roots, \(\sqrt{3}\), 4i, -4i and -2.

Function will be f(x) = (x - \(\sqrt{3}\))(x + 4i)(x - 4i)(x + 2)

Degree of the polynomial → 4

Answer:

27.5

Step-by-step explanation:

Answer: I got 27.5

Step-by-step explanation:

This is a fraction equal to

220 miles ÷ 8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

220 miles ÷ 8

8 hours ÷ 8

=

27.5 miles

1 hour

=

27.5 miles

hour

= 27.5 miles per hour

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer: A

Step-by-step explanation:

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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The length of the unknown side is 9.9 cm rounded to the nearest tenth of a centimeter.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that On a right triangle, the hypotenuse is 12.8

cm and the leg is 8 cm.

Using pythagoras theorem, If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

12.8² = 8² + s²

s² =  12.8² - 8²

s² = 163.84 - 64

s² =  99.84

s = √99.84

s = 9.9 cm.

Therefore,  the length of the unknown side is 9.9 cm rounded to the nearest tenth of a centimeter.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7

Answer:  a) 2(6!)(4!)

Step-by-step explanation:

The number of ways the boys can be arranged is: 6!

The number of ways the girls can be arranged is: 4!

The number of ways the groups (boys & girls) can be arranged is: 2

Girls could be in the front .. or in the back ... of the line.

Put these together to get: 6! × 4! × 2

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Answer:

hope you understand......

Answer:

x + 7

Step-by-step explanation:

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

Step-by-step explanation:

Answer:

12,742 km is the diameter of Earth.

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

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Two Thousand Two Hundred

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Answer:

Two and Two Tenths.

Step-by-step explanation:

The whole number if you were to just say it is two, so you have that part, but then for the decimals, the zeros don't really matter you can take them off and you have the same number ( but only if there is nothing after the zeros) so now you are left with 2.2 and the first decimal spot is the tenths so the wording for this would Two and Two Tenths.

9514 1404 393

Answer:

  11.85 deciliters

Step-by-step explanation:

Your table tells you 1 cup is 0.237 liters. Then 5 cups is ...

  (5 cups)(0.237 L/cup) = 1.185 L = 11.85 dL

__

"deci-" is the SI prefix for 1/10. 1.1 liters is 11 tenths of a liter.

Answer:

y=1/8x + 15

Step-by-step explanation:

y=1/8x+15 because 1/8 hours and add 15

Answer:

Step-by-step explanation:

Linear function representing the distance traveled 'y' in 'x' hours is,

y = 13x

Table for the points lying on the line is,

x               y

1               13

2             26

3             39

4             52

5             65

Since, these points are lying on the graph shown in the picture,

Given graph will be the answer.

Answer:

depende de cuantos libros sean y cuanto tiene cada uno de los libros

Complete question:

The base of a pyramid covers an area of 14.0 acres (1 acre = 43, 560 ft²  ) and has a height of 481 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height. If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase

Answer:

The percentage increase of the volume is 6.45 %

Step-by-step explanation:

The volume of pyramid is calculated as;

V = bh/3

The initial volume of the pyramid is calculated as follows;

\(V = \frac{bh}{3} \\\\V_0 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (481 \ ft)\\\\V_0 = 97,777,680 \ ft^3\)

The final volume of the pyramid when the height is increased to 512 ft.

\(V_1 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (512 \ ft)\\\\V_1 = 104,079,360 \ ft^3\)

The percentage increase of the volume;

\(= \frac{104,079,360 - 97,777,680}{97,777,680} \times 100\%\\\\= 6.45 \ \%\)

The volume of the pyramid will increase by 11.79%

The volume of a Pyramid is calculated using:

\(V = \frac{Bh}3\)

Where:

When the height is increased from 458 to 512, then the initial and the final volumes are:

\(V_1 = \frac{458}{3}b\)

\(V_2 = \frac{512}{3}b\)

The percentage change is then calculated as:

\(\% Change = \frac{V_2 -V_1}{V_1} \times 100\%\)

This gives

\(\% Change = \frac{512b/3 -458b/3}{458b/3} \times 100\%\)

Simplify the numerator

\(\% Change = \frac{54b/3}{458b/3} \times 100\%\)

Evaluate the quotient

\(\% Change = 0.1179 \times 100\%\)

Express as percentage

\(\% Change = 11.79 \%\)

Hence, the volume of the pyramid will increase by 11.79%

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Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer:

saan po yung pic hindi kopo maindihan

Answer:

8423

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

16/72 is the same thing as 2/9, just simplified. If you make 16 to 72 in a fraction you get 16/72. You divide them with their GCF which is 8. 16 divided by 8 is 2 and 72 divided by 8 is 9. Therefore the answer is 2/9.

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

B. 0< b < 1

Step-by-step explanation:

b is a fraction that less than 1, so 0 < b < 1