For the sake of example, let's multiply the two numbers

and

together. Altogether, we have:

Rearranging the expression, we can group the exponents and coefficients together:

Multiplying each out, we notice that since

and

have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and <em>adding</em> its exponents.
Answer:
C,. 3 3/4
Step-by-step explanation:
length times with times hight
1 1/4 x 1 1/2 x 2
convert everything to same denominator
1 1/4
1 2/4
1 4/4
solve
1 1/4 x 1 2/4 x 1 4/4
Answer:
Vertically opposite angles
Step-by-step explanation:
Given

Required
What else can measure 
The question has missing options. So, I will give a general explanation.
Using the attached image as a point of reference.
Given that:

The value of b is calculated as:

Because b and
are vertically opposite angles
<em>This gives:</em>
<em></em>
<em></em>
<em></em>
<em>So, one possible answer to the question is a vertically opposite angle</em>
Answer:

Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So

So, the solution of the equation is

where m₁ = 3 and m₂ = -7.
So,

Also,

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,


Substituting A into (1) above, we have

Substituting B into A, we have

Substituting A and B into y, we have

So the solution to the differential equation is
