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katrin2010 [14]

4 years ago

13

Can someone do this for me ?plz :(

2 answers:

Over [174]4 years ago

6 0

You shouldn’t ask people to do it for you, but you should ask for someone to explain it to you. Good luck!

SSSSS [86.1K]4 years ago

4 0

Just solve for x if a triangle equals 180

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What is the mathematical induction of <br> 1+3+5+...+(2n-1)=n^2

Lena [83]

Let $S(n)$ be the statement that

$1+3+5+\cdots+(2n-1)=\displaystyle\sum_{k=1}^n(2k-1)=n^2$

Check to see that $S(n)$ holds for $n=1$ :

$\displaystyle\sum_{k=1}^1(2k-1)=1=1^2\implies S(1)\text{ is true}$

Now suppose that $S(N)$ is true, and use that assumption to show that $S(N+1)$ must also be true. When $n=N+1$ , you have

$\displaystyle\sum_{k=1}^{N+1}(2k-1)=\sum_{k=1}^N(2k-1)+2(N+1)-1$
$=N^2+2(N+1)-1$
$=N^2+2N+1$
$=(N+1)^2$

and so $S(N+1)$ is also true, thus proving the statement is true for all $n$ .

6 0

3 years ago

How much elastic energy is stored in a slingshot that has a spring constant of 300 N/m and is stretched by 0.45m?

vagabundo [1.1K]

Answer:

E = 30.37 J

Step-by-step explanation:

Given that,

The spring constant of the spring, k = 300 N/m

The spring is stretched by 0.45 m, x = 0.45 m

We need to find the elastic energy stored in the spring. The formula for the elastic energy is given by :

$E=\dfrac{1}{2}kx^2\\\\=\dfrac{1}{2}\times 300\times (0.45)^2\\\\=30.37\ J$

So, the required elastic energy is equal to 30.37 J.

7 0

3 years ago

Write 55 percent as a fraction in simplest form

svetlana [45]

Answer:

11/20

Step-by-step explanation:

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Lauren went to the store an bougth a red hat for $32 and a black hat for $8 how many times as much did the red hat cost as the b

Firlakuza [10]

Answer:

I think 4

Step-by-step explanation:

Red hat costs $32

black hat costs $8

32 (divided) by 8 is 4

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3 years ago

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Which question is irrelevant when setting a financial goal?

ANEK [815]

Answer:

c

Step-by-step explanation:

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3 years ago