What is the value of the expression?

(3.3 + 6 × 1.8) + 52

Answer:

It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.

Step-by-step explanation:

Answer:

There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.

Step-by-step explanation:

I just took the test, The other person is very wrong!!!

The area of the different types of polygon with given dimensions are,

Area of octagon= 391.07 cm²

Area of pentagon = 232m²

Area of triangle = 21.22in²

Area of hexagon = 11.24square units.

Polygon name = octagon,

Side length = 9cm

Degree of central angle = 360° /8

                                        = 45°

To find Apothem ,

draw right triangle .

base is half of the side length = 4.5

Top angle of the right triangle = (1/2) × 45°

                                                  = 22.5°

Using tangent ratio considering top angle as α

tanα = 4.5/ Apothem length

⇒Apothem length = 4.5 / tan22.5°

⇒Apothem length = 4.5 / (√2 - 1 )

⇒Apothem length = 4.5 / 0.414

⇒Apothem length = 10.86cm.

Area of octagon = 2 ( 1 + √2 ) × (side length)²

                           = 2 × 2.414 × 9²

                           = 391.07 cm²

Polygon name = Pentagon,

Apothem= 8m

Degree of central angle = 360° /5

                                        = 72°

To find Side length ,

Let 'x' be the side length

draw right triangle .

base is half of the side length = x/2

Top angle of the right triangle = (1/2) × 72°

                                                  = 36°

Using tangent ratio considering top angle as α

tanα =   half of side length /Apothem length

⇒(1/2) side length  = 8 × tan36°

⇒ side length = 16 ×  (0.7265)

⇒ side length= 11.62m

Area of pentagon

= 5/2 × side length × distance from the center of sides to the center of pentagon

= 5/2 × 11.6 × 8

= 232m²

Polygon name = triangle,

Apothem= 2in

Degree of central angle = 60°

To find Side length ,

Let 'x' be the side length

draw right triangle .

base is half of the side length = x/2

Top angle of the right triangle =60°

Using tangent ratio considering top angle as α

tanα = half of side length / Apothem length

⇒(1/2) side length  = 2 × tan60°

⇒ side length = 4 (√3)

⇒ side length= 6.928in

                      ≈ 7 in

Area of triangle = √3/4 × 7²

                          = 21.22in²

Polygon name = hexagon,

Apothem= 5

Degree of central angle = 60°

To find Side length ,

Let 'x' be the side length

draw right triangle .

base is half of the side length = x/2

Top angle of the right triangle =30°

Using tangent ratio considering top angle as α

sinα = half of side length / Apothem length

⇒(1/2) side length  = 5 × sin30°

⇒ side length = 10 (0.5)

⇒ side length= 5

distance from center of sides to the center of hexagon

= √5² - 2.5²

=4.33

Area = (3√3)/2 × distance from center of sides to the center of hexagon

        = (3√3)/2 × 4.33

        = 11.24square units.

Therefore, the area of the given polygon are octagon = 391.07 cm² , pentagon =  232m² , triangle = 21.22in² , and hexagon = 11.24square units.

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Answer:

The correct answer is 319.

Step-by-step explanation:

it is in the given picture.

( don't mind my writing!!)

Answer:

nine fish............

Answer: 9 Fish

Step-by-step explanation:

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

yes

Step-by-step explanation:

e.g if two set,set A and B have 4 elements in both

if A (abcd) and B(3728) they both have the same number of elements BUT different elements.

So the answer is yes..

I hope this help

Answer:

312.5

Step-by-step explanation:

The solution for the system of equations is the one in option B   (2,5)

Here we have the equations:

y=2x+1

y=-x+7

A point is a solution if it solves both of the equations, then we need to replace all the points in the equations and see if they are true.

The póint that is a solution for both equations (from the ones given in the options) is (2, 5)

Replacing it in each equation we can see that:

5 = 2*2 + 1

5 = -2 + 7

So that is the correct option.

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The solution to the system of equations is x = 2 and y = -8.

To solve the system of equations, we'll use the substitution method. The given equations are:

Equation 1: 8x + 5y = 24

Equation 2: y = -4x

We'll substitute Equation 2 into Equation 1 to eliminate one variable:

8x + 5(-4x) = 24

8x - 20x = 24   [Distribute the -4]

-12x = 24        [Combine like terms]

x = 24 / -12    [Divide both sides by -12]

x = -2

Now that we have the value of x, we can substitute it back into Equation 2 to find the value of y:

y = -4(-2)

y = 8

Therefore, the solution to the system of equations is x = -2 and y = 8.

However, let's double-check the solution by substituting these values into the original equations:

Equation 1: 8(-2) + 5(8) = 24

-16 + 40 = 24

24 = 24    [LHS = RHS, equation is satisfied]

Equation 2: 8 = -4(-2)

8 = 8       [LHS = RHS, equation is satisfied]

Both equations are satisfied, confirming that x = -2 and y = 8 is indeed the solution to the given system of equations.

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The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Answer:

The answer is 186 inches^2

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Recall that the y-intercept of a graph is the point where the graph intersects the y-axis.

From the given graph we get that the line intersects the y-axis at (0,2).

Answer: Option C.

Answer:

TS is 3.7

UV is 7.9

SU is 6

Step-by-step explanation:

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Explanation:

We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.

We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.

You could use the nPr formula

\(_nP_r = \frac{n!}{(n-r)!}\)

with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.

The 8 violinists can be seated in 40,320 ways.

A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.

Given In the orchestra, there are eight violinists in the front row,

the sitting arrangement of violinists is done with the help of permutation,

ⁿPₓ = n!/(n - x)!

here n = 8 and x = 8

(n - x)! = (8 - 8)!

(n - x)! = = 0! = 1

⁸P₈ = 8!/1

⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1

⁸P₈ = 40,320

Hence they can be seated in 40,320 ways.

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Answer:

Step-by-step explanation:

Salary offered to Emily after college = $35000

Rise in her salary = $2000 every year

Let she works for x years in the company,

Salary rise in her salary = $2000x

Total salary after x years = $(35000 + 2000x)

The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.

A function these variables is C(x) = 35000 + 2000x

So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.

Answer: -10

Step-by-step explanation:

A negative number divided by a positive number is always going to be negative

Answer:

-10

Step-by-step explanation:

Because a negative number divided by a positive number is a negative number.

Answer: theres really no question here

Step-by-step explanation:

Answer:

not finding the correct slope of the parallel and perpendicular line, forgetting to change an equation from standard form to slope-intercept form before finding the slope, and many more common mistakes

Step-by-step explanation:

The missing number is 14, all the circles equal to 30, therefore add 11 + 5 = 16

30-16 = 14

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer: 160

Step-by-step explanation:

I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.

The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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Answer: 4 cookies

The total number of cookies = 6

your sister took 2

To get the how many of cookies left, we need to substract the number of cookies your sister took from the total cookies

Amount of cookies left = 6 - 2

Amount of cookies left = 4 cookies

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

Answer:

The answer is "\(\frac{324}{5}\)"

Step-by-step explanation:

If the missing value is this \(z= 9-y-x^2\) then:

\(\bold{z =9-y-x^2} \\\\\to x\leq 0 \\\\\to y < 0\\\\let: \ z= 0\ then\\\\ \to 9-y-x^2=0\\\\\to y=9-x^2\\\\if\ y=0 \\\\\to 0=9-x^2\\\\\to x=3\\\\\text{Calculate the volume: }\\\)

\(\to \int \int z dz\ \ = \int \int_{R} (9-y-x^2) dz\\\\\)

                  \(=\int_0^{3} \ \int_0^{9-x^2} (9-y-x^2) dy \ dx\\\\=\int_0^{3} (9y- \frac{y^2}{2}-x^2 y)^{9-x^2} _{y=0}\ dx\\\\=\int_0^{3} (9-x^2)^2- \frac{(9-x^2)^2}{2}\ dx\\\\=\frac{1}{2} \int_0^{3} (9-x^2)^2\ dx\\\\=\frac{1}{2} \int_0^{3} 81+x^4-18x^2 \ dx\\\\=\frac{1}{2} (81x +\frac{x^5}{5}-6x^3)^3_0 \\\\= \frac{1}{2} (\frac{648}{5}) \\\\=\frac{324}{5}\)