All categories

3 years ago

What is 5 times 10 to the fifth?

Mathematics

2 answers:

lys-0071 [83]3 years ago

5 0

5 times 10 to the fifth= 500,000

mezya [45]3 years ago

3 0

5x10^5
5x10^5=500000 or 500,000

You might be interested in

calvin and 4 of his friends want to share 4 pounds of nuts equally.write an expression to show the fraction of the nuts each fri

PilotLPTM [1.2K]

4/5

The 4 is how many pounds of nuts there are and dividing by 5 shows that you are sharing the nuts equally amongst the 5 friends.

5 0

3 years ago

A bag contains some number of marbles. It is known that 20 of them are red. When 15 marbles are drawn, without replacement, we g

Llana [10]

Answer:

The total number of marbles in the bag is 50.

Step-by-step explanation:

Here, we have n trials, without replacement. So the hypergeometric distribution is used.

The mean of the hypergeometric distribution is:

$E(X) = \frac{n*k}{N}$

In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.

15 marbles are drawn:

This means that $n = 15$

A bag contains some number of marbles. It is known that 20 of them are red.

This means that $k = 20$ , since a success is drawing a red marble.

Assuming E(X)=6 red, what is the total number of marbles in the bag?

We have to find N when $E(X) = 6$

$E(X) = \frac{n*k}{N}$

$6 = \frac{15*20}{N}$

$6N = 300$

$N = \frac{300}{6}$

$N = 50$

The total number of marbles in the bag is 50.

8 0

3 years ago

Allison collected books to donate to different charities. The following expression can be used to determine the number of books

tangare [24]

The answer is 16

Explanation

(12+4•5)divided by 2

(12+20)divided by 2

32 divided by 2

=16

8 0

3 years ago

Rationalize (4+√5)/(√15-√8)

dalvyx [7]

Answer:

$\frac{4\sqrt{15} +8\sqrt{2}+5\sqrt{3} +2\sqrt{10} }{7}$

Step-by-step explanation:

$\frac{4+\sqrt{ 5}}{\sqrt{15}-\sqrt{8} }$

To rationalize the above fraction multiple both numerator and denominator by the conjugate of its denominator.

$\frac{4+\sqrt{ 5}}{\sqrt{15}-\sqrt{8} }*\frac{\sqrt{15}+\sqrt{8} }{\sqrt{15} +\sqrt{8} }$

We can simplify √8 like this :

√8 = √4 × √2

√8 = 2√2

Let us rationalize the above fraction now.

$\frac{4+\sqrt{ 5}}{\sqrt{15}-\sqrt{8} }*\frac{\sqrt{15}+\sqrt{8} }{\sqrt{15} +\sqrt{8} }\\ \\\\\frac{(4+\sqrt{ 5})}{(\sqrt{15}-\sqrt{8}) }*\frac{(\sqrt{15}+2\sqrt{2} ) }{(\sqrt{15} +\sqrt{8})}$

Solve the brackets and roots.

$\frac{4(\sqrt{15}+2\sqrt{2})+\sqrt{5} (\sqrt{15} +2\sqrt{2}) }{\sqrt{ 15} * \sqrt{15} - \sqrt{8} * \sqrt{8} } }\\\\\\\frac{4\sqrt{15} +8\sqrt{2}+\sqrt{75}+2\sqrt{10} }{15-8}$

Simplify the roots.

√75 = √25 × √3

√75 = 5√3

$\frac{4\sqrt{15} +8\sqrt{2}+\sqrt{75}+2\sqrt{10} }{15-8}\\\\\\\frac{4\sqrt{15} +8\sqrt{2}+5\sqrt{3} +2\sqrt{10} }{7}$

8 0

2 years ago

Read 2 more answers

Please help me on this question

Olenka [21]

Answer:

A. rectangle, not a square.

Step-by-step explanation:

A right rectangular prism is a shape of a cube which is made up of 6 rectangular edges.

It has 4 vertical edges and 2 horizontal edges

The adjacent edges of the rectangular prism is at right angles

A plane intersects a right rectangular prism parallel to its base that is the parallel edges. The cross section formed by the plane would be the shape of the base as it is parallel to base and will intersect the the 4 vertical edges perpendicularly.

Thus, the shape of the cross section formed by the plane would be best described by a rectangle and not a square because the base is in the shape of a rectangle.

The figure representing the plane is shown below.

3 0

3 years ago