Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.

Answer:

= { 1, 2, 4, 4, 8, 10, 12, 14}

There are total 8 numbers in data. so,

two middle numbers are : 4, 8

= 4+8

= 12

now divide 12 with 2

= 6

So... the median of given set is 6.

Answer:

7

Step-by-step explanation:

since there are two middle numbers you add and divide them by 2

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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From the given distances and time it is clear that Mrs.Peter arrive before Mr Peter by 5 minute.

Mrs. Peter arrives 5 minutes before Mr. Peter

To find who arrives first we first need to find the speed and time they require to arrive.

Given : From Boston to Worcester

Mr. Peter takes 30 minutes time and speed=60 miles per hour

Mrs. Peter travels with speed 90 miles per hour

We will now calculate Mr.Peters speed

60 miles/h × h/60 = miles/min

We know that, Distance = Speed /Time

Mr.Peters speed is 60 miles per hour

Distance=Miles÷Min /30 minutes

Distance = 30 miles

Similarly, we will now calculate Mrs.Peters speed

90 miles/h h/60 = 1.5 miles per min

Here, Time = 30 / 1.5

= 20 minutes

Here, we know that Mrs.Peter leaves from Boston to Worcester 5 minutes after Mr.Peter so we will add 5 minutes to Mrs. Peters time.

Time = 20+5 =15 minutes

Therefore,

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The statement that describes the candle is , The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.

Rate of Change is the speed at which an object is changing its parameters , or the change of population with time etc.

It is given in the table that the starting height of the candle is 25 cm

The rate at which it is burning is determined as

Rate = (24.375 - 25 )/(0.25-0)  

= -0.25

- sign indicates the decrease in the height

The rate is 0.25

On the basis of the data

The statement that describes the candle is

The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour , Option A is the correct answer.

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Answer:

The answer to this one could be 8.2 for x

Step-by-step explanation:

Hope this Helped

Step-by-step explanation:

that is a huge gas tank. that car is practically a tank.

the volume of the gas tank is

4×3×3 = 36 m³

I assume you use liters for liquid mass.

remember

1 meter (m) = 100 centimeter (cm)

10 cm = 1/10 m = 1 decimeter (dm)

1 liter = 10×10×10 cm³ = 1000cm³ = 1 dm³

1 m³ = 10×10×10 dm³ = 1000 dm³ = 1000 liters

so, his gas tank contained 36,000 liters.

he used the 36,000 liters in 45 hours.

his corresponding rate of gas consumption was

36,000 liters / 45 hours = 800 liters / hour

Answer:

B. point B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

B(-1, -3)

y = 3x

When x = -1,

y = 3(-1) = -3

Answer: B.

Answer:

Step-by-step explanation:

Given that the gross pay is

$526

let us calculate all the deductions

1. Federal withholding taxes = $48

2. social security taxes of 6.2%= 526*(6.2/100)= $32.61

3. Medicare taxes of 1.45%=  526*(1.45/100)= $7.62

4. health insurance premiums = $45.80

5. union dues of =$12.56

total deduction= $146.59

the net pay is = 526-146.59

the net pay= $379.41

Multiplication is undefined for the set of matrices which is A: 3x2 and B: 3x2.

A matrix refers to a rectangular arrangement of numbers into rows and columns. Each number in a matrix is referred to as a matrix element or entry.  The dimensions of a matrix indicate the number of rows and columns of the matrix in that order, hence if a matrix A has 2 rows and 3 columns, it is called a 2 x 3 matrix. In matrix multiplication, each entry in the product matrix is the dot product of a row in the first matrix and a column in the second matrix. In order for matrix multiplication to be defined, the number of columns in the first matrix must be equal to the number of rows in the second matrix. If the number of columns in the first matrix is not equal to the number of rows in the second matrix, the multiplication is undefined. From the provided options, the set of matrices that have undefined multiplication is A: 3x2 and B: 3x2 as the number of columns in A (2) is not equal to number of rows in B (3).

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Answer:

Given:-

Y = 3x² - 3x + 2

Find : - Discriminant

Y = ax² - bx + c

Discriminant is : - Y = b² - 4ac

So, Discriminant is :-

(-3²) - 4 (3) (2)

= 9-24

=-15

If b² - 4ac < 0.

The equation has no real solution but it does have complex solution.

Answer:

10,120

Step-by-step explanation:

Answer:

x=-7.5

Step-by-step explanation:

3x-2/4=2x-8

-2x        -2x

x-2/4=-8

+2/4     +2/4

Put separate terms on each side

x=-7.5

Please correct me if I'm wrong

Hope this helps!

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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We can conclude that the special tutoring session seems to have had a positive impact on the students' performance, as their mean score increased from below 60% to 70%.

We can conclude that the special tutoring session has been effective since the students' mean score increased from 60 percent to 70 percent on the second test.

The students who scored less than 60 percent on the first test were given a special tutoring session, which resulted in their mean score increasing to 70 percent on the second test.

Therefore, we can conclude that the special tutoring session has been effective in improving the students' performance on the second test.

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To construct the exponential function that contains the points (0,-2) and (3,-128), we can use the general form of an exponential function:

y = a * b^x

where y is the function value, x is the input value, b is the base of the exponential function, and a is a constant representing the y-intercept. To find the specific exponential function that contains the two given points, we need to solve for a and b using the given coordinates.

First, we can use the point (0,-2) to find the value of a:

-2 = a * b^0
-2 = a * 1
a = -2

Next, we can use the point (3,-128) to find the value of b:

-128 = -2 * b^3
64 = b^3
b = 4

Now that we know the values of a and b, we can write the exponential function:

y = -2 * 4^x

Therefore, the exponential function that contains the points (0,-2) and (3,-128) is y = -2 * 4^x.

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In the given coordinate plane, based on the given dilation the line r has slope 8 and coordinate (0,8)

Dilation:

Dilation refers the ratio of the given line to line by the scale factor.

Given

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3).

Here we need to find the the slope and y-intercept of line r.

Here we know that scale factor is 3.

Let us consider the slope of the line r will not change and the intercept is the addition of their ordinate will be.

So, it can be written as,

=> Intercept = 5 + 3

=> Intercept = 8

Therefore, the line r has slope 8 and coordinate (0.8).

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Step-by-step explanation:

2 negatives equal a positive a positive and a negative equals a negative

2 positives equals a positbe

(a) The probability that a randomly selected customer spends less than 65 minutes at the gym is 0.4013. (b) The expected value and standard deviation (standard error) of the sample mean of the time spent at the gym is 2.857 minutes

a) The probability that a randomly selected customer spends less than 65 minutes at the gym is calculated using the standard normal distribution formula.

z = (x - μ) / σ

where,μ = 70 minutes, σ = 20 minutes, x = 65 minutes

Substituting the given values, we get

z = (65 - 70) / 20

z = -0.25

Using a standard normal table or calculator, the probability that a randomly selected customer spends less than 65 minutes at the gym is 0.4013.

b) The standard deviation (standard error) of the sample mean can be calculated using the formula:

SE = σ/√n

where,σ = 20 minutes, n = 49

Substituting the given values, we get

SE = 20/√49

SE = 2.857 minutes

Therefore, the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym is 2.857 minutes, respectively.

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Answer:

The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

`The figure of the dilated image is attached below.

Step-by-step explanation:

Given the triangle ΔDLW withe the vertices

As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.

The rule of dilation is given by

Dilation: (x, y)  →  (1/2x, 1/2y), centered at (0, 0)

D(0, 2)  → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)

L(1, 5)  → L'(1/2x, 1/2y) →  L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)

W(5, 4)  → W'(1/2x, 1/2y) →  W'(1/2(5), 1/2(4)) = W' (5/2, 2)

Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

`The figure of the dilated image is attached below.

Answer:

Translation: Shift the trapezoid 5 units to the right.

Dilation: Enlarge the trapezoid vertically by a factor of approximately 3.365.

Reflection: Reflect the trapezoid across the y-axis.

Note: The order of transformations may vary depending on the convention used.

Step-by-step explanation:

To determine the series of transformations that result in the unshaded trapezoid being the image of the shaded trapezoid, we can analyze the changes in the coordinates.

Translation:

The shaded trapezoid is shifted horizontally by 5 units to the right to become the unshaded trapezoid. Therefore, the first transformation is a translation.

Translation vector = (5, 0)

Dilation:

The shaded trapezoid is enlarged in the vertical direction. To determine the dilation factor, we compare the corresponding side lengths.

The length of side AB in the shaded trapezoid is given by the distance formula:

AB = sqrt((-4 - (-5))^2 + (5 - 1)^2) = sqrt(1^2 + 4^2) = sqrt(17)

The length of side A'B' in the unshaded trapezoid is given by the distance formula as well:

A'B' = sqrt((1.5 - 0)^2 + (9 - 1)^2) = sqrt(1.5^2 + 8^2) = sqrt(66.25) = 2.5sqrt(26)

The dilation factor is the ratio of the corresponding side lengths:

Dilation factor = A'B' / AB = (2.5sqrt(26)) / sqrt(17) = 2.5sqrt(26/17) ≈ 3.365

Reflection:

The unshaded trapezoid is a reflection of the shaded trapezoid across the y-axis. This transformation reverses the sign of the x-coordinates.

Answer:

1: 1.5 would be 1.72 and 2 would also be 1.72.

2: Draw points at (0,1.15) (1, 1.72) (2, 2.29) (3, 2.86) Flatline Connections

Step-by-step explanation:

If Im reading it right you take 1.5 ounces and plug it into the function (it would be between 1 and 2) it would spit out 1.72 (which I'm assuming is the postage)  

It will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

first, let us find a relation between postage(dollars) and weight(ounces)

this is an equation of a straight line passing through (0,1.5) and (2,0).

y=mx+c

\(P(w)=\frac{1.5-0}{0-2} x + c\\\\P(w)=-0.75x+c\\\\\)

since it passes through (2,0) it will satisfy the equation

therefore, c =1.5

the equation will be: \(P(w)=-0.75w+1.5\)

after we merge both the relations, we find a single relation between cost and weight

since the cost value is 1.72 in 1 <w \(\leq\)2

if weight is 1.5 ounces it is clearly $1.72

if weight is 2 ounces it is clearly $1.72

therefore, it will cost

(i) $1.72 if weight is 1.5 ounces,to send a letter.

(ii)$1.72 if weight is 2 ounces, to send a letter.

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Answer:

17 degrees F

Step-by-step explanation:

11 - (-6) = 17

Subtracting a negative is the same as adding.

Answer:

17\(\sqrt{2}\)

Step-by-step explanation:

The radius of 8th sphere is 3/2.

The 8th sphere's center and the hexagon's two opposing ends should form an isosceles triangle. Then put up another triangles between the point of tangency of the 7th and 8th spheres, and the point of tangency between the 7th sphere and 2 of the original spheres on different sides of the hexagon. Each triangle's side length should be expressed in terms of r (the sphere's 8 radius) and h. (the height of the first triangle). The values of h and r may then be determined by setting up two equations for the two triangles using the Pythagorean Theorem.

(1+r)² = \(2^{2}\) + \(h^{2}\)

(3√2)² =3² + (h+r)²

r= 3/2

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495 different committees can be formed by selecting 4 members from a list of 12 people.

In this case, we have 12 people to choose from and we want to form a committee of 4 people. The number of different committees that can be formed is represented by the combination formula:

C(n, r) = n! / [r! * (n - r)!]

Where n = total number of people (12), r = number of people in the committee (4), and ! represents the factorial function.

Applying the formula:
C(12, 4) = 12! / (4! * (12 - 4)!)

C(12, 4) = 12! / (4! * 8!)

C(12, 4) = (12 * 11 * 10 * 9 * 8!)/(4 * 3 * 2 * 1 * 8!)

The 8! in the numerator and denominator cancels out:

C(12, 4) = (12 * 11 * 10 * 9)/(4 * 3 * 2 * 1)

C(12, 4) = 11880/24

C(12, 4) = 495

So, 495 different committees can be formed by selecting 4 members from a list of 12 people.

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Answer:

1824

Step-by-step explanation:

200 x (1 + 0.325%)^9 - 1 / 0.325%

200 x (1 + 0.00325)^9 - 1 / 0.00325

200 x 1.00325^9 - 1 / 13/4000

200 x (4013 / 4000)^9 - 1 / 13/4000

200 x 4013^9 / 4000^9 - 1 / 13/4000

200 x 4013^9 - 4000^9 / 4000^9 / 13/4000

200 x 4013^9 - 4000^9 / 13 - 4000^8

4013^9 - 4000^9 / 13 x 20 x 4000^8

4013^9 - 4000^9 / 260 x 4000^8

1823.5

1824

Answer:

x = 70°, y = 110° , z = 85°

Step-by-step explanation:

∠ BEA and ∠ CDA are corresponding angles and congruent , then

x = 70°

x and y are adjacent angles and sum to 180°

x + y = 180°

70° + y = 180° ( subtract 70° from both sides )

y = 110°

∠ ABE and ∠ ACD are corresponding angles and congruent , then

z = 85°

Answer:

-1.9

Step-by-step explanation:

LOL IM ON ECSTACY

The minimum value of the set of numbers in which the range is given would be = -2.

To calculate the range of a data set the value of the maximum value is subtracted for the value of the minimum value.

That is;

Range = maximum value- minimum value

The maximum value = 4

minimum value = ?

range = 6

That is;

6 = 4 - X

X = -6+4

= -2

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