All categories

2 years ago

Pls help asap

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

6 0

Answer:

Step-by-step explanation:

100,000 = $10^{5}$

$\frac{1}{100,000}$ = $10^{-5}$

100,000 × $\frac{1}{100,000}$ = $10^{5}$ × $10^{-5}$ = $10^{5+(-5)}$ = $10^{0}$ = 1

VMariaS [17]2 years ago

3 0

Answer: Addition

Step-by-step explanation: You can represent that as 10^5*10^-5

If you add the exponent values, you get 10^0 which is equal to 1. If you multiply them, you get 10^-25 which is wrong.

You might be interested in

Find the missing side or angle.

nikklg [1K]

9514 1404 393

Answer:

41.1

Step-by-step explanation:

A triangle solver can do this nicely. b ≈ 41.1

You can use the law of cosines for the purpose.

b² = a² +c² -2ac·cos(B)

b² = 120² +110² -2(120)(110)·cos(20°) ≈ 1692.1148

b ≈ √1692.1148 ≈ 41.13532

The missing side is b ≈ 41.1 units.

7 0

3 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

3 0

3 years ago

Read 2 more answers

If anils hieght was 150cm and amans height was 100cm then the ratio of their heights would be

Nataly [62]

Answer:

3/2 or 150%

Step-by-step explanation:

150:100 = 150/100 = 15/10 = 3/2

In other words, 150%

8 0

3 years ago

URGENT!!! If correct will mark BRANILIST

jeyben [28]

Answer:

it is decreasing ✔️✔️ I think so

4 0

3 years ago

Read 2 more answers

A polynomial functiion P(x) with rational coefficients has the given roots. find two additional roots of p(x)=0

Pavlova-9 [17]

If -2i is a root, then 2i is also a root. If √10 is a root, then -√10 is also a root. Convert all four of these roots into factors using the factor theorem (which says that if R is a root, then (x - R) is a factor). (x + 2i) (x - 2i) (x - √10) (x + √10) Multiply these factors together. (It's easiest to multiply the conjugate pairs together first.): x^4 - 6x^2 - 40

8 0

3 years ago