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bekas [8.4K]
3 years ago
13

The approximate areas of Georgia and Washington, D.C. are listed below: Georgia: 1.54 x 10^5 square kilometers Washington, D.C.:

1.77 x 10^2 square kilometers How many times larger is Georgia than Washington, D.C.? Write your answer in standard notation, rounding to the nearest tenth.​
Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0
Ok grated answers here
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The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c
Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 \rm{in^3}

Step-by-step explanation:

The linearization or linear approximation of a function f(x) is given by:

f(x_0+dx) \approx f(x_0) + df(x)|_{x_0} where df is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh

Taking R_0=1.5 inches and h=3 inches and evaluating the partial derivatives we obtain:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh

substituting the values and taking dx=0.1 and dh=0.3 inches we have:

V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3}  + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}

Therefore the change in volume is estimated to be 17.20 \rm{in^3}

4 0
3 years ago
It is given that 3/7 , 12/m and n/49 are equivalent fractions. Find the value of ‘m’ and ‘n’.
denis23 [38]

Answer:

m=28

n=21

Step-by-step explanation:

3×4=12

7×4=28

28×1.75=49

12×1.75=21

4 0
3 years ago
Which relation has both domain and range of all real numbers
Mama L [17]

Answer:

C

Step-by-step explanation:

All real numbers means all numbers positive and negative

Therefore, it would have to be C because the others dont have both positives and negatives for their domain and range reaches

4 0
3 years ago
Rachel and Abby are trying to solve a science homework question. They need to find how much a rock that weighs 6 pounds on Earth
OverLord2011 [107]
A c e are all ancers thor you go
4 0
4 years ago
Read 2 more answers
Find the quotient and the remainder: (x^2+3x-4)/(x-1)
skelet666 [1.2K]
Evaluate this...
\frac{x^2+3x-4}{x-1}
the x at the bottom cancels out one of the xs at the top so it will be
\frac{x^2+2x-4}{-1}
Now the one cancels out one of the 1s in the -4 so
{x^2+2x-3}

Hope this helps :)
8 0
3 years ago
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