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erastova [34]
3 years ago
7

Find the 100th term in the arithmetic sequence -19,-14,-9,-4,1...

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

476

Step-by-step explanation:

hello :

the common diference is : d = ( 1)-(-4)=(-4)-(-9)=(-9)-(-14)=(-14)-(-19)=5

the firt term is A1 = -19

the n-ieme term is : An = A1 +(n-1)d

An = -19+5(n-1)

An = 5n-24

the 100th term in the arithmetic sequence  is : A100 = 5(100)-24 =476

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In a recent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What was t
andrezito [222]

The population of California = 2.52 \times 10^7 people.

Land area of California = 4.05 \times 10^5km^2.

We have to determine the average number of people per square kilometer.

Average number of people per square kilometer =

Land area of California \div Population of California

= 4.05 \times 10^5 \div 2.52 \times 10^7

= 1.6 \times 10^{-2}

Therefore, the average number of people per square kilometer is  1.6 \times 10^{-2}.

It is represented in scientific notation as Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

4 0
2 years ago
Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.
OverLord2011 [107]

Answer:

f''(x)=f''(-x)

Step-by-step explanation:

A function satisfying the equation f(x)=f(-x) is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form x^{n} with n even. Observe that if f is twice differentiable we can derivate using the chaing rule as follows:

f(x)=f(-x) implies f'(x)=f'(-x)\cdot (-1)=-f'(-x)

Applying the chain rule again we have:

f'(x)=-f'(-x) implies f''(x)=-f''(-x)\cdot (-1)=f''(-x)

So we have that function f''(x) is also an even function.

4 0
3 years ago
Question 1/8
just olya [345]

Answer:

discount = 290 × <u>1</u>

4

= 72.50

new price is

290.00

<u>72.50</u> -

217.50

5 0
3 years ago
A polygon has the vertices P(-2,6), Q(4,6), R(4,1) and S(-2,1). What is the length of side RS?
inessss [21]
It is 6 units because you find the absolute value of the two different coordinates, in this case it is 4 and -2. Since they belong in different quadrants (one x or y value is positive and the other is negative) you add them. If they are both in the same quadrant, you subtract them. 
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3 years ago
Please answer this correctly
aleksklad [387]

Answer:

63.2 = y

Step-by-step explanation:

The perimeter is the sum of all the sides

P = 7.8+ y+37.6 + y

171.8 = 7.8+ y+37.6 + y

Combine like terms

171.8 = 45.4 + 2y

Subtract 45.4 from both sides

171.8-45.4 = 45.4 + 2y -45.4

126.4 = 2y

Divide each side by 2

126.4/2 = 2y/2

63.2 = y

6 0
2 years ago
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