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lord [1]
3 years ago
10

What is the "difference quotient" and is there a specific formula for it..?

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0
This site might help you: http://www.mathwords.com/d/difference_quotient.htm
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Find the area of the regular pentagon. Side length is 8 cm and apothem is 5.5 cm
Yuki888 [10]

Answer:710.4

Step-by-step explanation:

7 0
3 years ago
Miguel is making trail mix. He uses 513 ounces of nuts and 234 ounces of raisins. Which of these is a reasonable estimate for ho
vitfil [10]

Answer:

2.58 more nuts Miguel uses than raisins

<h2>Hope this helps!</h2>

5 0
3 years ago
two triangles have the same heights one triangle has a base that is four times the base of the other triangle are the bases and
OlgaM077 [116]

Answer:

Yes

Step-by-step explanation:

The formula for area of a triangle is A = (1/2)bh,

For the first triangle we can leave it in general terms, so it's area is

A = (1/2)bh, depending on what b and h are, but it doesn't matter here...

The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

A = (1/2)(2b)h,   which simplifies to

  A = bh

Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

5 0
3 years ago
One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom
liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = 10\log(\frac{I_2}{I_1})

and the relation between intensity and distance is given as:

I ∝ \frac{1}{d^2}

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

\frac{I_2}{I_1}=\frac{d_1}{d_2}

therefore,

I = 10\log(\frac{d_1}{d_2})^2

or

I = 10\times2\times\log(\frac{161}{4,800})

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0
3 years ago
Working alone it takes jull 8.4 hours to pick forty bushels of apples. Maria can pick the same amount in 15 hours.If the worked
son4ous [18]

Answer: 5.39 hours

Step-by-step explanation:

For Jill:

Number of hours used = 8.4 hours

Number of bushels of apples picked = 40

Number of bushels of apples picked per hour will be: = 40/8.4 = 4.7619

For Maria:

Number of hours used = 15 hours

Number of bushels of apples picked = 40

Number of bushels of apples picked per hour will be: = 40/15 = 2.6667

We then add the number of bushels of apples picked per hour for both of them together. This will be:

= 4.7619 + 2.6667

= 7.4286

If they worked together, the hours they'll take to pick 40 bushel of apples will be:

= 40/7.4286

= 5.39 hours

8 0
3 years ago
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