what is the sum of the degrees of the exterior angles of a convex pentagon

The expected frequencies from the data conducted to investigate the differences in the length of stay of a trip will be 221.7097, 72.471, 49.3881, and 25.7677.

From the complete question, the expected frequencies from the data about the trip will be calculated thus:

E(240) = (379 × 413) ÷ 706

=221.7097

E(83) =(379 × 153) ÷ 706

=72.471

E(40) = (379 × 92) ÷ 706

=49.3881

E(16) =(379 × 48) ÷ 706

=25.7677

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Answer:

The slope-intercept form

Here m is the slope and b is y-intercept

When b= 0

and

In this case Avery's method works

When b≠0

In this case Avery's method brings wrong outcome

Answer:

Step-by-step explanation:

The area of the triangle UVW is the amount of space on the triangle

The area of the triangle UVW is 503 square centimeters

The given parameters are:

v = 63 cm, w = 49 cm and ∠U=161°

The area of the triangle is then calculated as:

[tex]Area = \frac12 vw \sin(U)[/tex]

So, we have:

[tex]Area = \frac12 * 63 * 49 * \sin(161)[/tex]

Evaluate the product

[tex]Area = 503[/tex]

Hence, the area of the triangle UVW is 503 square centimeters

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Answer:

8

Step-by-step explanation:

Answer:

B. A(r(t)) = 25πt²

Step-by-step explanation:

Find the completed question below

The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Given

A(t) = πr²

r(t) = 5t

We are to evaluate the composite expression A(r(t))

A(r(t)) = A(5t)

To get A(5t), we will replace r in A(t) with 5t and simplify as shown

A(5t) = π(5t)²

A(5t) = π(25t²)

A(5t) = 25πt²

A(r(t)) = 25πt²

Hence the composite expression A(r(t)) is 25πt²

Option B is correct.

Answer:

Step-by-step explanation:

B . Correct

Answer: Range is y > -1

Explanation:

The lowest point is where the open hole is. This is when y = -1. The open hole means we exclude it from the graph, so we can't reach y = -1

We can have any y value larger than -1 as part of the range. So the range is the set of y values such that y > -1

Side note: the domain is x > 1 for similar reasoning, but we're looking at the possible x values now.

Answer:
12 adult tickets, 16 child tickets

Step-by-step explanation:

x is the amount of adult tickets
y is the amount of child tickets
----------------------------------------------------------

lets make 2 equations:
1)    x + y = 28
2)   8x + 5y = 176
----------------------------------------------------------

now we can substitute either x or y into the second equation so that we only have to deal with one variable at once.

x + y = 28
subtract y from each side:
x + y - y = 28 - y
which gives you:
x = 28 - y
-------------------------------------------------------

Then we plug that into the second equation, which will give us:

8(28 - y) + 5y = 176

now you want to expand 8(28 - y), so you use the distributive property.

8(28 - y) = 8*28 - 8*y = 224 - 8y

now that we have solved that, plug it back into the equation:

224 - 8y + 5y = 176

subtract 224 from each side:

224 - 8y + 5y - 224 = 176 -224

which gives us:
-3y = -48

now if you multiply each side by ( -1 ) you get:
3y = 48

now divide both sides by 3 and you get:
y = 48 / 3

48 / 3 is 16

y = 16
-------------------------------------------------------------------------------

now plug y = 16 into equation 1

equation 1 was x + y = 28

plug 16 in for y which gives us:

x + 16 = 28

subtract 16 from both sides

x + 16 - 16 = 28 - 16

Which finally gives us
x = 12
---------------------------------------------------------------------------------

Remember:
x is the amount of adult tickets
y is the amount of child tickets

x = 12 means that 12 adult tickets were sold
y = 16 means that 16 child tickets were sold
----------------------------------------------------------------------------------

if my answer is not correct, please reach out to me :)

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Explanation:

An equilateral triangle has three sides of the same length, which in turn means that the curved arc pieces AB, BC and AC are the same length (but longer than each side of the triangle).

Furthermore, it leads to the fact that we split a 360 degree circle into three equal portions of 360/3 = 120 degrees each.

Imagine we drew in the line segments AX, BX, and CX. This splits the circle into 3 equal pie slices. Central angle BXC is 120 degrees because of the earlier calculation done before.

Answer:

294

Step-by-step explanation:

98*3=294

Answer:

294

Step-by-step explanation:

It is just 3x98

Answer:

Time: 3 & 9

Distance: 21

*Keep an eye out for a pattern

Answer:

Because the second one is diffrent.

Step-by-step explanation:

Answer:

because one of the numbers is a negative unlike the other

Step-by-step explanation:

Answer:

y = 2/3x - 3

Step-by-step explanation:

Given equation :-

Transformations :-

Solving :-

Answer:

24) 23.79

25)1.79

These answers are rounded

Step-by-step explanation:

Answer:

The answer is 60!

Answer:

144 is the l.c.m of 16 and 18

explanation:

multiples:

16 - 16, 32, 48, 64, 80, 96, 112, 128, 144

18 - 18, 36, 54, 72, 90, 108, 126, 144

Therefore,  144 is the l.c.m of 16 and 18 which is divisible by both numbers.

Answer:

144

Step-by-step explanation:

First, prime factorize the numbers.

16 = 2⁴

18 = 3² x 2

LCM (16, 18) = 2⁴ x 3²

= 16 x 9

= 144

Solution :-

144

Answer:

About 2.15

Step-by-step explanation:

You can do5.5/100 x 39 to get this.

5.5 divided by 100 is 550, times 39 is 2.145, round it to get 2.15

(So add 2 dollars 15 cents to $39 :D)

Answer:

Delay

Step-by-step explanation:

Because you are multiply x into 0.99, every time the multiplication takes place it will only become 99% of the value of the product of x and 400.

Answer:  10

Step-by-step explanation:

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept is the value of y when x = 0. Substitute 0 for x in the equation and solve for y.

[tex]2x - 3y = 6[/tex]

[tex]2(0) - 3y = 6[/tex]

[tex] - 3y = 6[/tex]

[tex] \frac{ - 3y}{ - 3} = \frac{6}{ - 3} [/tex]

[tex]y = - 2[/tex]

When x = 0, y = - 2.

Answer:

100.53 cm

Step-by-step explanation:

1) Divide the diameter by 2 to find the radius. (20/2 & 12/2)

2) Multiply 2 times pi times the radius. (2*pi*10 & 2*pi*6)

3) Add the two products together to find the perimeter. (62.83+37.7=100.53cm)

I hope this helps

Answer:

AD = 9

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD , then

AD² + BD² = AB² , substitute values

AD² + 12² = 15²

AD² + 144 = 225  ( subtract 144 from both sides )

AD² = 81 ( take square root of both sides )

AD = [tex]\sqrt{81}[/tex] = 9

Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So  to save money for her college classes her monthly budget should be less than 725 .

Budget is total plan of income and expenditure of a period .

Here given that Her annual salary as a child care specialist is $14,700 after taxes. and she lives with her older sister and helps with the rent by paying $500 per month.

So money she have after rent can be calculated as:

[tex]14700-12\times500\\\\14700-6000\\\\=8700[/tex]

So her monthly saving after rent is

[tex]\frac{8700}{12} \\\\\\=725[/tex]

So her  monthly budget should be less than 725

Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So  to save money for her college classes her monthly budget should be less than 725 .

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Answer:

B

Step-by-step explanation:

Edge 2022

have a great day!

Answer:

Your answer is: k = 5+12/x

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

He walks 5/6 of a mile each day.

Multiply the distance each day by the number of days:

5/6 x 5

When multiplying a fraction by a whole number, multiply the numerator ( top number) by the whole number and leave the denominator ( bottom number as is)

5/6 x 5 = (5 x5)/6 = 25/6 now rewrite as a proper fraction:

25/6 = 4 1/6 total miles.

Answer:

4 1/6 miles over the course of 5 days

Step-by-step explanation:

Answer:

49.5 degrees

Step-by-step explanation:

A complementary angle means that two angles add up to 90 degrees. So, all we do is 90 - 40.5 = 49.5 degrees.

Hope this helps. Peace, man!

Answer: The solutions are x = 3+sqrt(2), and x = 3-sqrt(2). The quadratic equation has two solutions because it has a positive discriminant.

Step-by-step explanation:

Using the quadratic formula, we have: 6+-sqrt(8)/2, which become 3+-sqrt(2).

The  profit does the company make from producing and selling four soccer nets is $109, the correct option is C.

Profit is a financial benefit that is realized when the amount of revenue gained from a business activity.

Given

|Soccer nets per day | Total Cost | Total Revenue |

| 1 | 7$ | $30 |

| 2 | 9$ | $60 |

| 3 | 10$ | $90 |

| 4 | 11$ | $120 |

| 5 | 13$ | $150 |

The total cost in the four soccer = $11

The total revenue in the four soccer = $120

The profit does the company make from producing and selling four soccer nets is;

[tex]\rm Profit = Total \ revenue -Total \ cost\\\\Profit= 120-11\\\\Profit = 109[/tex]

Hence, the  profit does the company make from producing and selling four soccer nets is $109.

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