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iren2701 [21]
2 years ago
7

Round to the nearest benchmark fraction 5/9

Mathematics
1 answer:
Stells [14]2 years ago
5 0
1/2 because 5/9 is equivalent to 10/18. Half of 18 is 9 and 10 is close to 9 so the nearest benchmark fraction you should round to is 1/2. Hope this helps you!
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Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a
Anuta_ua [19.1K]

Answer:

It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

Step-by-step explanation:

Diameter of swimming pool = 27 feet

Radius of pool r=\frac{27}{2}=13.5 feet

Surrounding the pool is a  deck that extends 5 feet from the edges of the pool

Outer radius R = 13.5+5=18.5

Area of deck = Outer area - Inner area

Area of deck =\pi R^2 -\pi r^2

Area of deck = 3.14(18.5^2-13.5^2)

Area of deck = 502.4 ft^2

Cost of painting 1 sq.feet = $0.85

Cost of painting 502.4 sq.feet = 502.4 \times 0.85=427.04

Perimeter of deck = 2 \pi R = 2 \times 3.14 \times 18.5 =116.18 feet

Cost of fencing 1 foot = $8.25

Cost of fencing 116.18 foot = 116.18 \times 8.25=958.485

Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

6 0
2 years ago
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 7x u2 − 1 u2 + 1 du 6x Hint: 7x
VikaD [51]

It looks like you're given

g(x)=\displaystyle\int_{6x}^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du

Then by the additivity of definite integrals this is the same as

g(x)=\displaystyle\int_0^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du-\int_0^{6x}\frac{u^2-1}{u^2+1}\,\mathrm du

(presumably this is what the hint suggests to use)

Then by the fundamental theorem of calculus, we have

\dfrac{\mathrm dg}{\mathrm dx}=7\dfrac{(7x)^2-1}{(7x)^2+1}-6\dfrac{(6x)^2-1}{(6x)^2+1}=\dfrac{1764x^4+169x^2-1}{1764x^4+85x^2+1}

8 0
2 years ago
During the early 20th century, in what way was the radio better than the phonograph in encouraging the concept of crosspollinati
ololo11 [35]

C. Phonograph were inferior in sound quality.

Step-by-step explanation:

Researches have shown that plants respond to the sounds of their pollinator.

Some plants begin to produce a greater amount of nectar and some begin to vibrate to attract the attention of the pollinators towards them.

Greater the intensity of the sound of the pollinator, the faster the reaction will be.

Phonographs have a sound of lower intensity when compared to the intensity of sound produced by the radio.

Thus the radio was better than the phonograph in encouraging the concept of cross-pollination.

6 0
2 years ago
estimate the total weight of two boxes that weigh 9.4 lb and 62.6 lb using rounding and compatible numbers. which estimate is cl
Scorpion4ik [409]
<span><span>1.       </span>We have 2 boxes weighs:
=> 9.4 lb and 62.6 lbs.
Now, let’s estimate the total weight of this 2 boxes using rounding and compatible numbers.
For 9.4 lbs , the rounded and compatible number is 9 lbs
And for 62.6 lbs, the rounded and compatible number is 63 lbs
=> now, let’s try adding both numbers if we get a close answer
=> 9 +63
=> 72 = the estimated and rounded answer is 72.
Let’s check if we have close answer
=> 9.4 + 62.6
=> 72</span>



5 0
2 years ago
What is Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price pe
Shalnov [3]
Since we are finding the unit rate of the cost per comic, we will need to divide $5 by 20 comics which you will get 0.25 cents and divide $7.50 by 30 comics which you will also get 0.25 cents.Therefore, the unit rate and constant of proportionality is 0.25 cents.
8 0
2 years ago
Read 2 more answers
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