A baker made 9 cupcakes 4 people want to share them equally how many will each person get

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Answer 1

Answer: Everyone would get 2 1/4 cupcakes because if you split up each cupcake by 4, (In four different pieces) everyone would get 9/4 slices. Change to a mixed number to get 2 1/4

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What is the aswer ??????

Answers

Answer:

A prime numbers are numbers which have only two factor

The answer is prime number because it’s only two factor

Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first rate. How many miles did Mr. Anderson drive during 5 3/4 hours? (Middle school)

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Remember that distance = rate times time.

First distance = 168 miles; time was 3.5 hours. Rate was 48 mph.
5 miles per hour faster than that was 53 mph.

Second distance = (2 1/4 hours)*(53 mph) = 119.25 miles

Total distance driven in those 5 3/4 hours: 168 mi + 119.25 mi = 287.25 mi

A container in the shape of a cylinder has a volume of 60 cubic meters. Its base has an area of 15 square units. What is the height of the container?options

3m

2m

4m

5m

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The answer would be 4m

Test yourself 215) if f''(x)=6x+6 and there is a stationary point at (0,3), find the equation of the curve

Answers

Ok, so dy/dx=0 at the point (0,3) that is where x=0 and y=3.

$\int { 6x+6dx } \n \n =\frac { 6{ x }^( 2 ) }{ 2 } +6x+C\n \n =3{ x }^( 2 )+6x+C$

$\n \n \therefore \quad { f }^( ' )\left( x \right) =3{ x }^( 2 )+6x+C$

Now, f'(x)=0 when x=0.

Therefore:

$0=C\n \n \therefore \quad { f }^( ' )\left( x \right) =3{ x }^( 2 )+6x$

Now:

$\int { 3{ x }^( 2 ) } +6xdx\n \n =\frac { 3{ x }^( 3 ) }{ 3 } +\frac { 6x^( 2 ) }{ 2 } +C$

$={ x }^( 3 )+3{ x }^( 2 )+C\n \n \therefore \quad f\left( x \right) ={ x }^( 3 )+3{ x }^( 2 )+C$

But when x=0, y=3, therefore:

$3=C\n \n \therefore \quad f\left( x \right) ={ x }^( 3 )+3{ x }^( 2 )+3$

$f''(x)=6x+6\nf'(x)=\int 6x+6\, dx\nf'(x)=3x^2+6x+C\n\n0=3\cdot0^2+6\cdot0+C\n0=C\nf'(x)=3x^2+6x\n\nf(x)=\int 3x^2+6x\, dx\nf(x)=x^3+3x^2+C\n\n3=0^3+3\cdot0^2+C\n3=C\n\n\boxed{f(x)=x^3+3x^2+3}$