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elena-14-01-66 [18.8K]
3 years ago
14

The width of a rectangle is 12 units. Can the perimeter x of the rectangle can be 60 units when its length y is 18 units?

Mathematics
2 answers:
Paraphin [41]3 years ago
5 0

Answer:

Yes, the rectangle can have x = 60 and y = 18 because x = 24 + 2y

Step-by-step explanation:

The width of a rectangle is 12 units.

Length=y

Perimeter=x

Perimeter of rectangle= 2×width+2×Length

                                    = 2×12+2y

Hence, x=24+2y

Also, when y=18

x=60 units

Hence, the correct option is:

Yes, the rectangle can have x = 60 and y = 18 because x = 24 + 2y

zimovet [89]3 years ago
4 0
Its the last one :) yes ik im late 
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Taggart transcontinental has a dividend yield of 2.5% .Taggarts equity cost of capital is 10% and its dividends are expected to
Arisa [49]

Answer:

D) 7.5%

Step-by-step explanation:

Using dividend growth model,

Price, P = D / (r - g)

where, D = Dividend, r = cost of equity = 10% ,  and g= growth rate

we know that

=> r - g = D / P = Dividend yield = 2.5%

=> Growth rate, g = 10% - 2.5% = 7.5%

therefore the  constant growth rate in dividends is closest to= 7.5%

8 0
3 years ago
Which of the following statements are true? check all that apply.
Margaret [11]

<u>Answer:</u>

1 and 5 are correct.

<u>Step-by-step explanation:</u>

1. The mean is affected by outliers.  - TRUE

(the mean is the average so each of its values affect it.)

2. The mean is always a more accurate measure of center than the median. - FALSE

(the mean gives a better idea of the values while the the central values for normal distributions are described using the median value.)

3. Removing an outlier from a data set will cause the standard deviation to increase. - FALSE

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4. If the data set’s distribution is skewed, then 95%of its values will fall between two standard deviations of the mean. - FALSE

(the 68-95-99.9 rule works for the normal distribution, but the skewed distribution.)

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5 0
3 years ago
One mole of iron (6 × 1023 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter, so the center-to-c
MrMuchimi

Answer:

a) k_{s} = 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m

Step-by-step explanation:

Length of iron bar = L = 2.7m;

side length of cross section = a = 0.07cm = 0.0007m;

x = 2.7 cm = 0.027m;

m = 100kg;

ρ = 7.87gm/cm³;

da = 2.28 * 10⁻¹⁰m;

a)

Fnet = F - mg

where Fnet = 0

So,

F = mg where F=k_{s}x

k_{s} = mg/x = 100*9.8/0.027

k_{s} = 3.6 N/m

b)

Nchain = Aw/Aa =a²/(da)²

                           = (o.ooo7)²/(2.28 * 10⁻¹⁰)²

                           = 9.43 * 10¹²

c)

Nbond = L/da = 2.7/2.28 * 10⁻¹⁰

                       = 1.18 * 10¹¹

d)

Spring stiffness of wire = ksi = (Nbondk_{s})/Nchain

                                      = [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)

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8 0
3 years ago
What is the sum of 3/x=9/16
Studentka2010 [4]
Multiply 3 by both sides answer x=27/16 or in decimal 1.6875
7 0
3 years ago
If f(x)...............
alex41 [277]

Answer:

The inverse is 5x-6

Step-by-step explanation:

To find the inverse of a function

y = ( x+6) /5

Exchange x and y

x = ( y+6)/5

Solve for y

Multiply each side by 5

5x = (y+6)/5 *5

5x = y+6

Subtract 6  from each side

5x-6 = y+6-6

5x-6 =y

The inverse is 5x-6

4 0
2 years ago
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