Please answer asap
It is due today
It would be helpful

Answer:

9m^3

Step-by-step explanation:

since there is a square root remove it and find it square which is 9

The assertion will be correct and the reason provided is also correct.

A rational number is termed as a number which can be represented as the ratio of the two integers, where the denominator (q) will be not equal to zero. In other words, a rational number can be expressed in the form of a p/q, where p and q are the integers and q ≠ 0.

In the given reason, 17/3 is cited as an example of a rational number. Since both 17 and 3 are integers, and 3 ≠ 0, 17/3 can be expressed as the ratio of two integers, making it a rational number.

Therefore, the assertion will be true, and the reason provided is correct.

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The equation of a parabola with a vertex at (-1, -1) is y = (x +1)²- 1.

Answer:

  294.7 mL

Step-by-step explanation:

You want to know the volume (x) in mL of 0.5% solution to be added to 100 mL of 2% solution to make a mix that has a concentration of 0.88%.

The given equations seem to be missing something. We want ...

  100(0.02) +x(0.005) = (100 +x)(0.0088)

We like to play with larger numbers, so we'll multiply this equation by 100 as we simplify it.

  200 +0.5x = 88 +0.88x

  112 = 0.38x . . . . . . . . . . . . . subtract 88+0.5x

  294.7 = x . . . . . . . . . . . . divide by 0.38

You must add approximately 294.7 mL of 2% solution.

The explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.

In mathematics, a sequence is an ordered list of elements that follow a specific pattern or rule. The elements can be numbers, letters, or other objects. Each element in the sequence is called a term, and the position of a term in the sequence is determined by its index or subscript.

The given sequence is an arithmetic sequence with a common difference of 2.

The first term (a₁) is 14.

The nth term of an arithmetic sequence can be found using the formula:

aₙ = a₁ + (n - 1)d

where d is the common difference.

Substituting the given values, we get:

aₙ = 14 + (n - 1)2

Simplifying, we get:

aₙ = 2n + 12

Therefore, the explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.

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Answer:

2 2/5

Step-by-step explanation:

First, we convert the fraction to decimal, since 3/5 yards is the same as 3 divided by 5 = 0.6.

Now, multiply 0.6 by 4 ( Sophie is in so 3 friends + 1) = 2.4.

Finally, we convert the decimal back a fraction which is 2 2/5, (2 whole and 2/5).

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It would take about 8.59 months for the football player to double his current following, assuming that his follower count continues to increase at a rate of 9% per month.

To find out how long it would take for the football player to double his current online following of 105,326, we need to find the distance from his starting point to the doubling point. In other words, we need to find out how many followers he needs to gain in order to have 2 times his current following.

To do this, we can use the formula for exponential growth:

A = P(1 + r)ⁿ

where A is the final amount, P is the initial amount, r is the rate of growth (in decimal form), and t is the time (in months).

In this case, we want to find t, the time it would take for the football player to double his current following. So we can rewrite the formula as:

2P = P(1 + 0.09)ⁿ

Simplifying this equation, we can divide both sides by P:

2 = (1 + 0.09)ⁿ

Taking the natural logarithm of both sides, we get:

ln(2) = t ln(1 + 0.09)

Solving for t, we divide both sides by ln(1 + 0.09):

t = ln(2) / ln(1 + 0.09)

Using a calculator, we get t ≈ 8.59 months.

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In the given triangle IJK, the measure of angle J is approximately 32°

From the question, we are to determine the measure of angle J in the given triangle

From the Law of Sines,

We can write that

sin (I) / i = sin (J) / j

From the given information,

j = 530 cm

i = 740 cm

∠I = 133°

Substituting the parameters into the formula,

sin (I) / i = sin (J) / j

sin (133°) / 740 = sin (J) / 530

sin (J) = (530 × sin (133°)) / 740

sin (J) = 0.5238

J = sin⁻¹ (0.5238)

J = 31.59°

J ≈ 32° (to the nearest degree)

Hence,

The measure of angle J is approximately 32°

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X is the adjacent side and is 50 inches long.

Using the trigonometric ratio of cosine:

cos(60 degrees) = adjacent / hypotenuse

cos(60 degrees) = 1/2 (cosine of 60 degrees is 1/2)

So, we can solve for the X, the adjacent:

adjacent = cos(60 degrees) x hypotenuse

adjacent = (1/2) x 100 inches

adjacent = 50 inches

Therefore, the length of the adjacent is 50 inches.

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Answer:

Any linear equation with a slope of 1.5

(examples:

Step-by-step explanation:

If two equations are parallel, their slopes are the same.

y=1.5x-6 is written in slope-intercept form, which is:

[tex]y=mx+b[/tex]

Where m is the slope, and b is the y-coordinate of the y-intercept.

Thus, looking at the equation y=1.5x-6, we can find that m=1.5.

This means that the slope is 1.5.

Think of any equation in this format that uses 1.5 as the slope. Here are a few examples:

The graphs of all of these equations are parallel to the graph of y=1.5x-6 because their slopes are the same.

You can write your own equation using a slope of 1.5.

Answer:

the answer of the sequence is a

according to the given question Anna scored highest in the Afrikaans test.

When a relationship consistently has the same ratio, it is considered to be proportionate. For instance, the average amount of apples grown on each tree determines the number the trees within a fruit orchard plus the quantity of apples harvested. In mathematics, a linear relationship between two numbers or variables is referred by the term being proportionate. The other amount doubles when the initial amount does. The other variables also decline when one variable is brought down to 1/100th of its prior value.

given,

To determine whether Anna's results are proportionate, we need to compare the percentage scores she received in each test.

For the Afrikaans test, Anna's percentage score is (22/30) x 100% = 73.33%

For the mathematical literacy test, Anna's percentage score is (18/25) x 100% = 72%

Since Anna's percentage score for the Afrikaans test is higher than her percentage score for the mathematical literacy test, her results are not proportionate. Therefore, Anna scored highest in the Afrikaans test.

Note that if we were to compare the raw scores (22 vs. 18), it would seem like Anna performed better in the Afrikaans test. However, since the two tests have different total marks (30 for Afrikaans and 25 for mathematical literacy), comparing the raw scores directly does not give a fair comparison. Instead, we need to compare the percentage scores, which take into account the total marks of each test.

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Answer:

what are the options?

Step-by-step explanation:

Answer:c the third one

Step-by-step explanation: because i did it!

The mean number of states will be 6.

The percentage of students who visited more than 7 states will be 20%.

The mean number of states will be:

= 120 / 20

= 6.

The percentage of students who visited more than 7 states will be:

= 4/20 × 100

= 20%

The number of students who visited 7 or 8 states compare to the number of students who visited 5 states or less as they're both 7 each. This implies that they're equal.

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To find the radius of the circle, we need to rewrite the equation of the circle in standard form, which is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle and r is its radius.

To rewrite the given equation in standard form, we need to complete the square for both x and y terms:

x^2 - 12x + y^2 + 6y + 20 = 0

(x^2 - 12x + 36) + (y^2 + 6y + 9) = -20 + 36 + 9 (adding and subtracting appropriate terms to complete the square)

(x - 6)^2 + (y + 3)^2 = 25

Comparing this equation with the standard form, we see that the center of the circle is (6, -3) and the radius is sqrt(25) = 5.

Therefore, the radius of the circle is 5 units.

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So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

A circle represents 360 degrees. A circle can be split up into smaller sections. An arc is a segment of a circle, and arcs are named based on their angles.

To illustrate information and data, use a circle graph or pie chart. Often, a circle graph is used to quickly and proportionately display the findings of an investigation.

Given data:

Type of Transportation      Number of Visitors  Percentage

Walk                                    120                            120*100/ 300 = 40%

Bicycle                                 24                            24*100/ 300 = 8%        

Car Service                         45                            45*100/ 300 = 15%

Bus                                      30                            30*100/ 300 = 10%

Subway                               81                             81*100/ 300 = 27%

Total                                   300

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

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Answer:

In a triangle, the sum of the interior angles is 180 degrees. So, we can set up the following equation:

72° + (x+4)° + A = 180°

where A is the measure of the third angle in the triangle.

Simplifying the equation, we get:

(x+4)° + 72° + A = 180°

x + 76° + A = 180°

Subtracting 76° from both sides, we get:

x + A = 104°

Therefore, an equation that can be used to find the value of x is x + A = 104°, where A is the measure of the third angle in the triangle. Note that we do not have enough information to solve for x or A individually, but we can use this equation to relate the two angles in the triangle.

Answer: Let us call the centers of the four circles C1, C3, C5, and C7, respectively, where the subscript refers to the radius of the circle. Without loss of generality, we can assume that the tangent point A lies to the right of all the centers, as shown in the diagram below:

                 C7

          o-----------o

       C5 /             \ C3

         /               \

        o-----------------o

                C1

                |

                |

                | l

                |

                A

Let us first find the coordinates of the centers C1, C3, C5, and C7. Since all the circles are tangent to line l at point A, the centers must lie on the perpendicular bisector of the line segment joining A to the centers. Let us denote the distance from A to the center Cn by dn. Then, the coordinates of Cn are given by (an, dn), where an is the x-coordinate of point A.

Using the Pythagorean theorem, we can write the following equations relating the distances dn:

d1 = sqrt((d3 - 2)^2 - 1)

d3 = sqrt((d5 - 4)^2 - 9)

d5 = sqrt((d7 - 6)^2 - 25)

We can solve these equations to obtain:

d1 = sqrt(16 - (d7 - 6)^2)

d3 = sqrt(4 - (d7 - 6)^2)

d5 = sqrt(1 - (d7 - 6)^2)

Now, let us consider the region S that lies inside exactly one of the four circles. This region is bounded by the circle of radius 1 centered at C1, the circle of radius 3 centered at C3, the circle of radius 5 centered at C5, and the circle of radius 7 centered at C7. Since the circles are all tangent to line l at point A, the boundary of region S must pass through point A.

The maximum possible area of region S occurs when the boundary passes through the centers of the two largest circles, C5 and C7. To see why, imagine sliding the circle of radius 1 along line l until it is tangent to the circle of radius 3 at point B. This increases the area of region S, since it adds more points to the interior of the circle of radius 1 without removing any points from the interior of the other circles. Similarly, sliding the circle of radius 5 along line l until it is tangent to the circle of radius 7 at point C also increases the area of region S. Therefore, the boundary of region S must pass through points B and C.

Using the coordinates we obtained earlier, we can find the x-coordinates of points B and C as follows:

x_B = a - 2 - sqrt(9 - (d7 - 6)^2)

x_C = a + 6 + sqrt(9 - (d7 - 6)^2)

To maximize the area of region S, we want to maximize the distance BC. Using the distance formula, we have:

BC^2 = (x_C - x_B)^2 + (d5 - d3)^2

Substituting the expressions we derived earlier for d3 and d5, we get:

BC^2 = 32 - 2(d7 - 6)sqrt(9 - (d7 - 6)^2)

To maximize BC^2, we need to maximize the expression inside the square root. Let y = d7 - 6. Then, we want to maximize:

f(y) = 9y^2 - y^4

Taking the derivative of f(y) with respect to y and setting it equal to zero, we get:

f'(y) = 18y - 4y^3 = 0

This equation has three solutions: y = 0, y = sqrt(6)/2, and y = -sqrt(6)/2. The only solution that gives a maximum value of BC^2 is y = sqrt(6)/2, which corresponds to d7 = 6 + sqrt(6)/2.

Substituting this value of d7 into our expressions for d1, d3, and d5, we obtain:

d1 = sqrt(16 - (sqrt(6)/2)^2) = sqrt(55/2)

d3 = sqrt(4 - (sqrt(6)/2)^2) = sqrt(19/2)

d5 = sqrt(1 - (sqrt(6)/2)^2) = sqrt(5/2)

Using these values, we can compute the coordinates of points B and C as follows:

x_B = a - 2 - sqrt(9 - (sqrt(6)/2)^2) = a - 2 - sqrt(55)/2

x_C = a + 6 + sqrt(9 - (sqrt(6)/2)^2) = a + 6 + sqrt(55)/2

The distance between points B and C is then:

BC = |x_C - x_B| = 8 + sqrt(55)

Finally, the area of region S is given by:

Area(S) = Area(circle of radius 5 centered at C5) - Area(circle of radius 7 centered at C7)

= pi(5^2) - pi(7^2)

= 25pi - 49pi

= -24pi

Since the area of region S cannot be negative, the maximum possible area is zero. This means that there is no point that lies inside exactly one of the four circles. In other words, any point that lies inside one of the circles must also lie inside at least one of the other circles.

Step-by-step explanation:

The amount of space that the flower pot will take up is: 38.47 cm²

We are given that the bottom of the given flower pot has a diameter of 7 cm.

Now, the space that the flower pot will cover is simply the area the the circle base.

Formula for the area of a circle is:

A = πr²

where:

A is area

r is radius

We have d = 7 cm

Thus: r = 7/2 = 3.5 cm

A =  π * 3.5²

A = 3.14 * 3.5²

A = 38.47 cm²

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The closest option is (b) 23 12/15.

What are mean in statistics?

Mean: The average of a set of values, is calculated by adding up all the values in the set and dividing by the total number of values.

To find the mean (average) of the data set, we need to first find the sum of all the lengths of roses multiplied by their respective frequencies, and then divide by the total number of roses:

(22 x 2) + (23 x 4) + (24 x 5) + (25 x 3) + (26 x 1) = 344

Total number of roses = 2 + 4 + 5 + 3 + 1 = 15

Mean = Sum of all lengths / Total number of roses = 344 / 15 ≈ 22.93 cm

Rounding to the nearest whole number, the mean length of roses in this data set is 23 cm. Therefore, the closest option is (b) 23 12/15.

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a) The polygon has 8 sides and is called an octagon.

b) The measure of each interior angle of the octagon measures 135 degrees.

c) The measure of each exterior angle of the octagon measures 45 degrees.

a. To classify the polygon by the number of sides, we can use the formula for the sum of the interior angles of a polygon:

Sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides of the polygon.

In this case, we are given that the sum of the interior angles is 1080 degrees. So we can set up an equation as follows:

(n - 2) x 180 = 1080

Simplifying this equation, we get:

n - 2 = 6

n = 8

b. To find the measure of one interior angle of the polygon, we can use the formula for the measure of each interior angle of a regular polygon:

Measure of each interior angle = (n - 2) * 180 degrees / n

Substituting n = 8 into this formula, we get:

Measure of each interior angle = (8 - 2) * 180 degrees / 8

= 135 degrees

c. To find the measure of one exterior angle of the polygon, we can use the fact that the sum of the interior and exterior angles of a polygon is 180 degrees. Therefore, the measure of each exterior angle of a regular polygon is:

Measure of each exterior angle = 360 degrees / n

Substituting n = 8 into this formula, we get:

Measure of each exterior angle = 360 degrees / 8

= 45 degrees

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he would fit the child size

his height is 145cm and we want to convert it  into inches so the formula is

length/2.54=

145cm/2.54=57.08in

so juan is 57.08 inches, so he fits the child size.

Answer:

V = hpi(r)^2

 =  20(3.14)(17)^2 = 18,149.20 cubic mm

More accurately,

V = 20(3.14159)(17)^2 = 18158.39 mm^3

Step-by-step explanation:

Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

The elements of D8 are 1, r,[tex]r^2, r^3, s, sr, sr^2, sr^3,[/tex] which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:

1 → (1)(2)(3)(4)(5)(6)(7)(8)

r → (1 2 3 4)(5 6 7 8)

[tex]r^2[/tex] → (1 3)(2 4)(5 7)(6 8)

[tex]r^3[/tex]→ (1 4 3 2)(5 8 7 6)

s → (1 2)(3 4)(5 6)(7 8)

sr → (1 8 3 6)(2 7 4 5)

[tex]sr^2[/tex]→ (1 4)(2 3)(5 8)(6 7)

[tex]sr^3[/tex] → (1 6 3 8)(2 5 4 7)

Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.

The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.

Using the generators r and s, we can construct the elements of D8 as follows:

[tex]r^0[/tex] = 1

[tex]r^1[/tex]= r

[tex]r^2[/tex] = rr

[tex]r^3[/tex] = rrr

[tex]s^0[/tex]= 1

[tex]s^1[/tex] = s

[tex]s^2[/tex] = 1

[tex]s^3[/tex] = ss

Now, let's apply the left regular representation to each element of D8:

1 → (1 2 3 4 5 6 7 8)

r → (1 2 3 4 5 6 7 8)(1 2)

[tex]r^2[/tex] → (1 2 3 4 5 6 7 8)(1 3)(2 4)

[tex]r^3[/tex]→ (1 2 3 4 5 6 7 8)(1 4 3 2)

s → (1 8)(2 7)(3 6)(4 5)

sr → (1 7 3 5)(2 8 4 6)

[tex]sr^2[/tex] → (1 6 3 2)(4 7 5 8)

[tex]sr^3[/tex] → (1 5)(2 6)(3 7)(4 8)

Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.

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Answer:

k = 30

Step-by-step explanation:

an equation of proportionality has the form

y = kx ← k is the constant of proportionality

y = 30x ← is in this form

with k = 30