Please help <br> What is the sign of the product (−4)(2)(−3)(6)?

Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inch

Lostsunrise [7]

To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.

3 0

3 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit.

vaieri [72.5K]

Answer:

The given series converges and $\lim_{n \to \infty} a_n =0$

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: $\lim_{n \to \infty} a_n$

$\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0$

Hence, $\lim_{n \to \infty} a_n =0$

7 0

3 years ago

15) In your own words, write three or four sentences explaining what exponents are and how they are used in math

Scorpion4ik [409]

Answer:

Exponents

Step-by-step explanation:

exponents are basic short cut to write numbers like 100, 1000, 10000, 1000000 and so on.

Exponents can also be defined as 10 raised to a power x whether positive or negative

$10 {}^{x}$

They are mostly used in expressing units in standard form.

<h3>examples of basic positive exponents</h3>

${10}^{2} = 100$

$10 {}^{3} = 1000$

${10}^{4} = 10000$

${10}^{5} = 100000$

basically the power represent the the number of zeroes after the 1.

<h3>examples of basic negative exponents</h3>

${10}^{ - 2} = 0.01$

${10}^{ - 3} = 0.001$

${10}^{ - 4} = 0.0001$

$10 ^{ - 5} = 0.00001$

in negative exponents the power represents the number of zeroes before the 1. including the 0 behind the decimal point.

this is the basic lay down of how exponent work but one more quick example for maximum understanding

<h3>quick example</h3>

$4 \times {10}^{4} = 0.0004$

$4 \times {10}^{4} = 40000$

$8.69 \times 10 {}^{ - 3} = 0.00869$

$8.69 \times 10 {}^{ 3} = 8690$

hope you grasp the concept involved in multiplication with other terms.

cheers

6 0

3 years ago

Which polynomial equation of least degree has -2, -2, 3, and 3 as four of its roots?

I am Lyosha [343]

Answer:

The and is x-2)-2(x + 3)3=0

4 0

3 years ago

Find the weekly wage before deductions for following data.

andrew11 [14]

Answer:

Did I do something wrong because you never did text me back

Step-by-step explanation:

$34

at 9.00

6 0

3 years ago

Read 2 more answers

Please help What is the sign of the product (−4)(2)(−3)(6)?