All categories

3 years ago

What is the product written in scientific notation? 6.5x10^-7 4x10^-4

1 answer:

8 0

Remember that scientifc notation is always (number greater than or equal to 1 and less than 10) times 10^(number of decimal places moved to the right)

ok so remember htat whe multiplying you can assosiat the numbesr so we have (6.5)(10^-7)(4)(10^-4)=(6.5 times 4)(10^-7 times 10^-4)
also remember the exponential law that says
x^m times x^n=x^(m+n) so

10^-7 times 10^-4=10^(-7+-4)=10^-11

so now we have
6.5 times 4 times 10^-11
26 times 10^-11
26 needs to be more than 1 and less than 10
2.6 times 10^1 times 10^-11
combine the 10's
10^1 times 10^-11=10^(1+-11)=10^-10
2.6 times 10^-10
answer is 2.6 times 10^-10

You might be interested in

A certain type of bird has a probability of 1/12 Harding a bird with white feather. If a bird lays 2 eggs, find the probability

liq [111]

A. $\frac{1}{12}*(1-\frac{1}{12})\\\frac{1}{12}*\frac{11}{12}\\\frac{11}{144}$

B. $\frac{1}{12}*(1-\frac{1}{12})+\frac{1}{12}*\frac{1}{12}\\\frac{1}{12}*\frac{11}{12}+\frac{1}{144}\\\frac{11}{144}+\frac{1}{144}\\\frac{12}{144}\\\frac{1}{12}$

6 0

3 years ago

A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material for the sides of the can costs

iogann1982 [59]

Answer:

r=3.628cm

h=12.093cm

Step-by-step explanation:

For this problem we are going to use principles, concepts and calculations from multivariable calculus; mainly we are going to use the Lagrange multipliers method. This method is thought to help us to find a extreme value of a multivariable function 'F' given a restriction 'G'. F represents the function that we want to optimize and G is just a relation between the variables of which F depends. The Lagrange method for just one restriction is:

$\nabla F=\lambda \nabla G$

First, let's build the function that we want to optimize, that is the cost. The cost is a function that must sum the cost of the sides material and the cost of the top and bottom material. The cost of the sides material is the unitary cost (0.03) multiplied by the sides area, which is $A_s=2\pi rh$ for a cylinder; while the cost of the top and bottom material is the unitary cost (0.05) multiplied by the area of this faces, which is $A_{TyB}=2\pi r^2$ for a cylinder.

So, the cost function 'C' is:

$C=2\pi rh*0.03+2\pi r^2*0.05\\C=0.06\pi rh+0.1\pi r^2$

The restriction is the volume, which has to be of 500 cubic centimeters:

$V=500=\pi r^2h\\500=\pi hr^2$

So, let's apply the Lagrange multiplier method:

$\nabla C=\lambda \nabla V\\\frac{\partial C}{\partial r}=0.06\pi h+0.2\pi r\\\frac{\partial C}{\partial h}=0.06\pi r\\\frac{\partial V}{\partial r}=2\pi rh\\\frac{\partial V}{\partial h}=\pi r^2\\(0.06\pi h+0.2\pi r,0.06\pi r)=\lambda (2\pi rh,\pi r^2)$

At this point we have a three variable (h,r, λ)-three equation system, which solution will be the optimum point for the cost (the minimum). Let's write the system:

$0.06\pi h+0.2\pi r=2\lambda \pi rh\\0.06\pi r=\lambda \pi r^2\\500=\pi hr^2$

(In this kind of problems always the additional equation is the restricion, in this case, V=500).

Let's divide the first and second equations by π:

$0.06h+0.2r=2\lambda rh\\0.06r=\lambda r^2\\500=\pi hr^2$

Isolate λ from the second equation:

$\lambda =\frac{0.06}{r}$

Isolate h from the third equation:

$h=\frac{500}{\pi r^2}$

And then, replace λ and h in the first equation:

$0.06*\frac{500}{\pi r^2} +0.2r=2*(\frac{0.06}{r})r\frac{500}{\pi r^2} \\\frac{30}{\pi r^2}+0.2r= \frac{60}{\pi r^2}$

Multiply all the resultant equation by $\pi r^{2}$ :

$30+0.2\pi r^3=60\\0.2\pi r^3=30\\r^3=\frac{30}{0.2\pi } =\frac{150}{\pi}\\r=\sqrt[3]{\frac{150}{\pi}}\approx 3.628cm$

Then, find h by the equation $h=\frac{500}{\pi r^2}$ founded above:

$h=\frac{500}{\pi r^2}\\h=\frac{500}{\pi (3.628)^2}=12.093cm$

4 0

3 years ago

An ancient Greek was born on April 1st, 35 B.C. and died on April 1st, 35 A.D. How many years did he live?

lara [203]

Answer:

70 years

Step-by-step explanation:

35 years before Christ and then another 35 years after: 35 + 35 = 70 years

6 0

3 years ago

Read 2 more answers

Question no. 6, can anyone help?

monitta

In order to find this you have to set i by itself first we will subtravt 40 from both sides(because 40 is s positive and in order to get rid of a positive you have to use a negative) now we have -40=5i, now divide 5 from both sides to get i=-8, that is what Terry will be givng from tip

Hope this helps

6 0

3 years ago

A patient with end-stage kidney disease has nine family members who are potential kidney donors. How many possible orders are th

eduard

Answer: 504

Step-by-step explanation:

When we select r things from n things in a order , we use permutations.

Formula for permutation: $^nP_r=\dfrac{n!}{(n-r)!}$