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tankabanditka [31]
2 years ago
6

The formula T = 2 pi StartRoot StartFraction L Over 32 EndFraction EndRoot relates the time, T, in seconds for a pendulum with t

he length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for Pi.
The answer is 4 feet on edg for algebra
Mathematics
2 answers:
Serga [27]2 years ago
8 0

Answer:t

Step-by-step explanation:

Keith_Richards [23]2 years ago
7 0

Answer:

b. 4 feet

Step-by-step explanation:

edg 2020

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A Norman window is rectangular on three sides with a semi-circular top. You decide to install a Norman window in your family roo
sergiy2304 [10]
Given that the window is rectangular on three sides with semi-circular top and with the following dimensions: 4 as the length and 3 as the width. We can calculate the perimeter using the given values, and it gives us the perimeter of 15.71 feet.
8 0
2 years ago
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Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. S
marin [14]

Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

b = 3g +3     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

w = 5g -1      (ii)

It has 2 times more gray shirts than brown camsas, then:

g = 2B         (iii)

It has the same amount of black and white shirts

b = w            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

b = 5g -1        (v)

Now substitute (v) into (i) and clear g.

5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2

Joan has 2 gray shirts

5 0
2 years ago
Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u
soldier1979 [14.2K]

x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}

\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}

\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}

Therefore:

\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]

Recall that at t=25, p(25)=\dfrac { 5800 } {13} \approx 446.15

Therefore:

\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0
2 years ago
What is the fifth term of the geometric sequence?<br> a1 = 120, a2 = 36, a3 = 10.8, a6 = 0.2916
Alisiya [41]
R = a2/a1 = 36/120 = 0.2

a5 = a1 * r^4 = 120 * 0.2^4 = 120 * 0.0016 = 0.192


Hope it helps!

4 0
2 years ago
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A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?
nasty-shy [4]
<span>If it is a right prism, then the cross-section area will be considered a rectangle. Each lateral face will be perpendicular to the base, and if we cut the plane it will be perpendicular to the bases and the resulting angles of the cross-section would all be simply right angles. 
Hence,
The best Answer would be third Option: A RECTANGLE.

</span>
4 0
2 years ago
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