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3 years ago

4. Does the following Infinite geometric series diverge or converge? Explain.

Mathematics

2 answers:

DaniilM [7]3 years ago

6 0

Answer:

1st term:3

second term:9

common ratio :9/3=3

since it is greater than 1.

so it increases 3times in each term

It diverges; it does not have a sum.

melamori03 [73]3 years ago

4 0

Answer:

It diverges; it does not have a sum.

Step-by-step explanation:

3, 9, 27, 81, ..

ratio = r = 9/3 = 3

since |r| ≥ 1, it diverges and doesn't have a sum

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Hello I would really appreciate if someone could help me with this math question. I’m so confused

Katarina [22]

Answer:

a. f = 17.5/c

b. 8.75 N

Step-by-step explanation:

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

We find the value of k using data given for a specific instance.

3.5 N = k(1/(5 cm)) . . . . use the given values

17.5 N·cm = k . . . . . . multiply by the denominator

Then the equation of interest is ...

f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

Using the above equation, we find the force to be ...

f = 17.5/2 = 8.75 . . . . newtons

_____

Additional comment

We often look at several different kinds of proportionality:

y = kx . . . . direct
y = k(1/x) . . . . inverse
y = kx² . . . . proportional as the square
y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

4 0

2 years ago

Simplify this answer please help!

aliya0001 [1]

Answer:

(hope this helps can I pls have brainlist (crown) ☺️)

Step-by-step explanation:

7^8 x 7^3 x 7^4 / 7^9 7^5

= 7^(8+3+4) / 7^(9+5)

= 7^15 / 7^14

= 7^(15-14)

= 7.

When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:

7^8 x 7^3 x 7^4= 7^15

Now, look at the rest of the simplified equation and do the same to the denominator:

7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14

When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer = 7^15-14 = 7^1 = 7

5 0

2 years ago

PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!

earnstyle [38]

Answer:

$\displaystyle m=3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (6, 8)

Point (5, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]: $\displaystyle m=\frac{5-8}{5-6}$
[Fraction] Subtract: $\displaystyle m=\frac{-3}{-1}$
[Fraction] Divide: $\displaystyle m=3$

6 0

3 years ago

Read 2 more answers

What is 4x-2+x=-2+2x

Vsevolod [243]

Answer:

x= no solution

Step-by-step explanation:

4x-2+x=-2+2x

We first add 4x+x on the left side.

5x-2=2+2x

We then add 2 to both sides.

5x=2x

The answer is no solution because we got no answer out of the equation.

4 0

3 years ago

Can anybody help me solve this? You must solve for x first.

gavmur [86]

Answer:

ABC = 65

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360

2x-15 + x + 2x-15 +x = 360

Combine like terms

6x -30 = 360

Add 30 to each side

6x -30 +30 = 360+30

6x= 390

Divide by 6

6x/6 = 390/6

x=65

We want angle ABC

ABC = x

ABC = 65

3 0

3 years ago

Read 2 more answers