Hiking at a constant rate, fred covers 6miles in 4 hours. Predict how far he can hike in 10hours.

About how many times larger is 9.8 x 10^8 than 5.2 x 10^5?

Jobisdone [24]

Answer:

it is about 30 times larger

Step-by-step explanation:

I know because I am related to Albert Einstein and because I'm really smart. I have 2 awards for being smart.

6 0

3 years ago

The circumference of a circle is 7π in. Find its radius, in inches.

mezya [45]

Answer:

3.5 in

Step-by-step explanation:

Circumference = 2π(radius)

7π = 2π (radius)

7π/2π = radius

Pi in numerator and denominator cancel each other.

7/2 = radius

3.2 in = radius

4 0

3 years ago

Read 2 more answers

Draw a set of objects where you can find a fractional part of the group using the total number of objects by using subgroups

lara31 [8.8K]

We divide the total set into several sub-sets (subgroups) that contain the exact same number of members. This way we know the number of total members by adding the number of total subsets.

5 0

3 years ago

Read 2 more answers

What is the expansion of (3+x)^4

Vlad1618 [11]

Answer:

$\left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81$

Step-by-step explanation:

Considering the expression

$\left(3+x\right)^4$

Lets determine the expansion of the expression

$\left(3+x\right)^4$

$\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

$a=3,\:\:b=x$

$=\sum _{i=0}^4\binom{4}{i}\cdot \:3^{\left(4-i\right)}x^i$

Expanding summation

$\binom{n}{i}=\frac{n!}{i!\left(n-i\right)!}$

$i=0\quad :\quad \frac{4!}{0!\left(4-0\right)!}3^4x^0$

$i=1\quad :\quad \frac{4!}{1!\left(4-1\right)!}3^3x^1$

$i=2\quad :\quad \frac{4!}{2!\left(4-2\right)!}3^2x^2$

$i=3\quad :\quad \frac{4!}{3!\left(4-3\right)!}3^1x^3$

$i=4\quad :\quad \frac{4!}{4!\left(4-4\right)!}3^0x^4$

$=\frac{4!}{0!\left(4-0\right)!}\cdot \:3^4x^0+\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1+\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2+\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3+\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4$