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3 years ago

Simplify a - b - [C- (d - e) - f] - g).

Mathematics

1 answer:

dalvyx [7]3 years ago

7 0

Answer:

a-b-C+d-e+f-g

Step-by-step explanation:

Steps

$a-b-\left(C-\left(d-e\right)-f\right)-g$

Show Steps

$-\left(d-e\right):\quad-d+e$

$=a-b-\left(C+e-d-f\right)-g$

Show Steps

$-\left(C-d+e-f\right):\quad-C+d-e+f$

$=a-b-C+d-e+f-g$

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Any system of government based on rule by the people is called

galina1969 [7]

Answer:

a democracy

I hope this helps!

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3 years ago

You need $160 to buy a mountain bike. You earn

Lesechka [4]

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3 years ago

Carlos is filling a spherical balloon with water. if he increases the volume of the balloon from 4,188.79 cubic centimeters to 1

Harrizon [31]

We know that the volume of a sphere of radius r is given by

$V=\frac{4}{3}\pi r^3$

Now, we have been given the initial volume was 4,188.79 cubic centimeters. Let us find the radius at this time.

Substituting the value of volume in the above equation, we get

$4,188.79=\frac{4}{3}\pi r^3\\
\\
4\pi r^3=4,188.79 \times 3\\
\\
r^3=\frac{4188.79 \times 3}{4\pi}\\
\\
r^3=1000\\
\\
r=10$

Now, the final volume is given by 14,137.167 cubic centimeters. Thus, we have

$14137.167 =\frac{4}{3}\pi r^3\\
\\
4\pi r^3=14137.167 \times 3\\
\\
r^3=\frac{14137.167\times 3}{4\pi}\\
\\
r^3=3375\\
\\
r=15$

Now, let us find the surface areas for these two radii.

For $r=10$

Surface area is given by

$S=4\pi r^2\\
\\
S=4\times 3.14 \times (10)^2\\
\\
S=1256 \text{ square centimeters}$

Similarly, for

$r=15\\
\\
S=4\times 3.14\times (15)^2\\
\\
S=2826 \text{ square centimeters}$

Therefore, the increase in the surface area is given by

$\Delta S= 2826-1256= 1570 \text{ square centimeters}$

Hence, the average rate at which the surface area is changing is given by

$\frac{1570}{12}=130.8$

Therefore, the average rate at which the surface area is changing is given by 130.8 square centimeters per second.

7 0

3 years ago

write the slope intercept equation for the line that passes through (-8,11) and is perpendicular t 2x -7y=14

SIZIF [17.4K]

$General\ formula:\\y=ax+b\\\\2x-7y=14\\-7y=14-2x\\y=\frac{2}{7}x-2\\\\Line\ is\ perpendicular
 when\ a=-\frac{7}{2}\\y=-\frac{7}{2}x+b\\\\Passes\ through\ (-8,11):\\11=(-\frac{7}{2})*(-8)}+b\\11-28=b\\b=-17\\\\y=\frac{7}{2}-17$

4 0

3 years ago

Is 4 kilograms is egual to 4000mgs

Zigmanuir [339]

No.
So, there are 1000 milligrams in one gram, making the 4000 mgs equal to 4 grams.
There are 1000 grams in one kilogram, so 4 kilograms is equal to 4000 grams.

4000 =/= 4
So, 4 kilograms and 4000 milligrams are not equal.

7 0

3 years ago

Read 2 more answers