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3 years ago

How do u find the scientific notation for this problem

Mathematics

1 answer:

dedylja [7]3 years ago

5 0

You put both parentheses in standard form, then divide as if it were a normal problem. Once the quotient is found, move the decimal point to the right. Every time you move one space to the left, increase the exponent by one but also divide your quotient by 10
example:
10³/10²
1000/100
10
10= $10^{1}$

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Which equation is a point slope form equation for line AB ?

kap26 [50]

Answer:

$y-5=\frac{3}{4}(x-6)$

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

$y-y1=m(x-x1)$

step 1

Find the slope m

we have the points

A(-2,-1),B(6,5)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{5+1}{6+2}$

$m=\frac{6}{8}$

simplify

$m=\frac{3}{4}$

step 2

Find the equation of the line

we have

$(x1,y1)=(6,5)$

$m=\frac{3}{4}$

substitute

$y-y1=m(x-x1)$

$y-5=\frac{3}{4}(x-6)$

3 0

3 years ago

Find the indefinite integral. (Use C for the constant of integration.) e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

3 years ago

Suppose Team A has a 0.75 probability to win their next game and Team B has a 0.85 probability to win their next game. Assume th

vovangra [49]

Answer:

B has a higer probability

Step-by-step explanation:

8 0

3 years ago

The school is planting a circular garden. If the

Tatiana [17]

Answer:

The area of the circular garden is 28.3 square feet

Step-by-step explanation:

Let's recall that the area of a circle is π * r², therefore if the diameter of the circular garden is 6 feet, the area is:

Diameter = 6 feet ⇒ radius = (6/2) = 3 feet

Area of the circular garden = π * 3²

Area of the circular garden = 3.1416 * 9

Area of the circular garden = 28.2744

Area of the circular garden = 28.3 square feet

8 0

4 years ago

How much can Sophia spend on party favors

Fantom [35]

Think about you have a pizza. you have 6 people and a total of 12 slices. How many can each person get? 2.

This is the same thing. $2.47 divided by 6 people = $0.46 cents each

8 0

3 years ago