What is the sum of the first 45 terms of the sequence?
-282,-266,-250,-234,...
S45 =

Answer:

213 inches^2

Step-by-step explanation:

the ^2 is the exponent

Surface Area = 2×(6×9 + 6×3.5 + 9×3.5)

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Answer:

So we are given the length, width, and height and we are also told that we need to find the surface area.  The formula to finding the surface area of a rectangular prism is [tex]S=2(w*h+l*w+l*h)[/tex]

We just plug in the values and solve

[tex]S = 2(9\ in * 3.5\ in+6\ in * 9\ in + 6\ in * 3.5\ in)[/tex]

[tex]S = 2(31.5\ in^2 + 54\ in^2+21\ in^2)[/tex]

[tex]S = 2(106.5\ in^2)[/tex]

[tex]S = 213\ in^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

18 degrees heres youre answer!

Step-by-step explanation:

If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.

Step-by-step explanation:

5 people.

how many ways can they line up in general ?

5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :

5×4×3×2×1 = 5! = 120 ways.

but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.

and none of the boys should ever be at one of the ends.

so, we actually have only

2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.

in total

2×1×3×2×1 = 12

under these constrictions they have actually only 12 different ways to line up.

Answer:

82

Step-by-step explanation:

opposite angles in a cyclic quadrilateral are supplimentary

Step-by-step explanation:

it does not matter, if you understand the equation itself. look at the graph ! what is the curve doing ?

I don't know the options of the pull-down menus, so I will give you my best guesses based on the facts :

the domain of a function is the set or interval of all valid x (or input) values.

the range of a function is the set of interval of all valid y (or functional result) values.

so, clearly, x is in the interval (-infinity, +infinity). which is therefore the domain.

please conduct the round brackets. they indicate that the specified interval limits are not included (as infinity is not a value, only a concept, and can never be reached).

and y is in the interval of (0, +infinity). which is therefore the range.

we have to use the round brackets also for 0, as the function will never deliver the value 0, but its tendency or limit goes there (but again, only in infinity, which will never be reached).

the function continuously decreases when x increases.

again, I am not sure what the options are here, and what your teacher wants to "hear".

Answer:

174 Sq feet

Step-by-step explanation:

30+90+54 just add.

Answer:

174 sq ft

Step-by-step explanation:

Formula:

A = Lw

Note:

A rectangle has 3 set of different side.

Solve:

A = Lw

A = 5 × 9

A = 45 ×  2

A = 90

A = Lw

A = 5 × 3

A = 15× 2

A = 30

A = Lw

A = 3 × 9

A = 27× 2

A = 54

90 + 30 + 54 = 174 sq ft

Kavinsky

Answer:

The answer is 150 inches

Step-by-step explanation:

Multiply the length value by 12

Answer:

150 inches

Step-by-step explanation:

12.5 x 12 = 150 inches

Answer:

Density = mass / volume

thus, volume = mass / density

volume = 40 / 20 = 20 mL

Answer:

7.62

Step-by-step explanation:

3 x 3 = 9, 7 x 7 = 49, 49 + 7 = 58. Square root of 58 = 7.62

Answer:

hypotenuse ≈ 7.6 units

Step-by-step explanation:

calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (2, 4) ← endpoints of hypotenuse

d = [tex]\sqrt{(2-(-1))^2+(4-(-3))^2}[/tex]

   = [tex]\sqrt{(2+1)^2+(4+3)^2}[/tex]

   = [tex]\sqrt{3^2+7^2}[/tex]

   = [tex]\sqrt{9+49}[/tex]

   = [tex]\sqrt{58}[/tex]

   ≈ 7.6 ( to the nearest tenth )

Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.

Answer:

x ^ 4

Step-by-step explanation:

X x 5/6 / X x 1 / 6 = 5/6 - 1/6 = 4

then it = X^4

Answer:

C=31.4

Step-by-step explanation:

Formula: C=2πr

Insert radius: C=2×π×5

Multiply: C=10*π

Insert Pi: C=10*3.14

Multiply Again: C=31.4

Answer:

2 For the most part this is all I have at the moment hope this helps

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

sucks to suck

Answer:

30/40

Step-by-step explanation:

like what the other guy said

The correct answer is 46.67%

So, According to the question

The cost price of the wardrobe given is £30

The Selling price of the wardrobe given is £44.

We need to find profit percentage

We have to use formula.

Profit percentage = [tex]\frac{ Selling price - cost price}{costprice}[/tex] × 100

                               =[tex]\frac{ 44 - 30}{30}[/tex] x100

                               = [tex]\frac{14}{30}[/tex] x 100

                              = 14.67%                          

Hence, Jim's got profit percentage is 46.67%.

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= 46.6667%  ≈ 47%

[tex]\Large\textsc{Answer\::}[/tex]

4

[tex]\Large\textsc{Calculations :}[/tex]

2² simplified means 2 times 2 (2 times itself) so

2² = 4

2×2=4

2²=4

Now , it doesn't make any difference with a number like 2 .

Suppose we had 3 :

3² = 9

3² is not the same as 3 ×2 , and here's the reason for that :

3²=3×3=9

3 × 2 = 6

[tex]\footnotesize\textsf{hope helpful ~}[/tex]

Depreciation is the reduction in the value of an asset over time, due in particular to wear and tear.

Your information is incomplete. Therefore, an overview will be given.  depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life.

To calculate depreciation, subtract the asset's salvage value from its cost. The result is the depreciable basis or the amount that can be depreciated. Divide this amount by the number of years in the asset's useful lifespan.

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Answer:

x = 20

Step-by-step explanation:

Angle x and the 90 degree  angle and 70 form a straight line so they add to 180

x+90+70 = 180

Combine like terms

x + 160 = 180

x = 180-160

x = 20

=============================================================

Explanation:

There are 7 professors and 9 instructors (first and last items mentioned).

So there are 7+9 = 16 people who are either a professor or an instructor, but not both. I'm assuming the job titles do not overlap, ie no one person has more than one title. The events "professor" and "instructor" are mutually exclusive. I'm leaving out the associate professors and assisant professors.

In total, there are 7+9+9+9 = 34 faculty members.

--------------

We found there are 16 faculty members who are either a professor or an instructor, out of 34 total members.

This must mean the probability we want is 16/34 = 8/17

Side note: 8/17 = 0.4706 = 47.06% approximately

Answer:

= 240√3-3√3x

Step-by-step explanation:

parentheses:

=3√3 (80 – x)

Apply the distributive law:

a=3√3, b= 80, c =X

=3√3×80-3√3x

=3× 80√3 -3√3x

Multiply the numbers: 3×80 = 240

= 240√3-3√3x

Answer:

44 minutes

Step-by-step explanation:

Given:

Michelle started doing a puzzle at 7:50 p.m. She finished the puzzle at 8:34 p.m.

To Find:

How long did Michelle work on the puzzle?

Solve:

Began Time ⇒ 7:50 p.m

End Time     ⇒ 8: 34 p.m

Since they are both p.m we could just subtract 8:34 by 7:50.

But first we know that:

8: 34 the 34 can't be subtracted by 7:50 the 50.

Thus we know that:

1 Hour = 60 minutes

Hence,

changing 8:34 p.m from 1 hour to 60 minutes. Which given us 7:94.

Then,

7:94 - 7:50

= 44

Hence, Michelle work on the puzzle for 44 minutes.

Kavinsky

The substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5

These are equations that has a leading degree of 2. Given the expression

6(x+5)^2 + 5(x+5) - 4 = 0

In order to simplify this equation, we will replace the reoccuring term by a variable.

From the equation we can see that (x+5) is occuring the most. Let u = x + 5 so that:

6u^2 - 5u - 4 = 0

Hence the substitution that should be used to rewrite 6(x+5)^2 + 5(x+5) - 4 = 0 is u = x + 5

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Answer:

<

Step-by-step explanation:

note that

| - y | = y

and

- | y | = - y

then

- y < y

The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.

The value of b is given as:

b = 1.85%

Let the hourly percent growth rate of the bacteria be r.

So, we have:

b = 1 + r

Substitute b = 1.85%

1.85 = 1 + r

Subtract 1 from both sides

r = 0.85

Express as percentage

r = 85%

Hence, the hourly percent growth rate of the bacteria would be 85%.

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Answer:

20 and 85%

Step-by-step explanation:

The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be:

[tex]\rm P=9-0.25Q[/tex]

The inverse demand function is the function that represents price as the function of quantity demanded. The graph of inverse demand puts a price on the y axis and the quantity demanded on the x-axis.

a. The inverse demand function of the firm will be calculated as follows:

The demand function is:

[tex]\rm Q=36-4P[/tex]

The inverse demand function is the demand function in terms of price. Therefore inverse demand function will be:

[tex]\rm Q=36-4P\\\\4P=36+Q\\\\P=\dfrac{36}{4}+\dfrac{Q}{4}\\\\P=9+\dfrac{Q}{4}\\[/tex]

[tex]\rm P=9-0.25Q[/tex]

Hence, The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be [tex]\rm P=9-0.25Q[/tex].

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Not Answer:

8

Step-by-step Non-explanation:

The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4. So the rocket will reach its maximum height after 4 seconds.

The approximate maximum height of the rocket's path is 597.13 meters.

Observer sees the rocket 160 meter away from the place where rocket launched.

75° is the angle between observer and rocket, when the rocket reaches its maximum height.

Here, if we assume a triangle whose base = distance between rocket launch point and the observer.

Height = Maximum height of the rocket

Here, Base = 160 meter & let, maximum height = h

tan 75° = [tex]\frac{height}{base}[/tex]

⇒ tan 75° = [tex]\frac{h}{160}[/tex]

⇒ h = 160 tan 75°

⇒ h = 597.13 (approx)

The maximum height of the rocket is 597.13 meters (approx).

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The figure shown in the question is a rectangle because it has four sides and two opposite sides are parallel.

A rectangle is a quadrilateral having four sides the two opposite sides of the rectangle are equal and parallel. and the two sides are always at perpendicular to each other.

here in the figure we have four sides and two opposite sides are equal

and also parallel to each other so the given figure is the triangle.

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Answer:

4

Step-by-step explanation:

4 because jonny mom took 1