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nydimaria [60]
3 years ago
12

Did I do this right?

Mathematics
1 answer:
stepan [7]3 years ago
4 0
Answer = Yes got it correct
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In general, the value measured by the horizontal axis is called the_______<br> variable.
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Independent variable

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What inequality does the number line represent?<br>​
cupoosta [38]

Answer:

-4<f

Step-by-step explanation:

i am pretty sure this is correct, haven´t done it since freshman year haha.

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Use induction to prove that 2? ?? for any integer n&gt;0 . Indicate type of induction used.
Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

    2^{n}>n

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

      2^{k}>k

                   ---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement  is true for, n=k+1.

     \rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

      2^{k}>k

                 

   

3 0
3 years ago
Could someone help me?
Lady_Fox [76]

Step-by-step explanation:

The intercepted arc is twice the measure of the inscribed angle so if the inscribed angle BEC is 50°, then the measure of the arc BC is 100°.

8 0
3 years ago
The quantity, y, varies directly as x. When y=10 x=6
neonofarm [45]

Answer:

y = \frac{5}{3} x

Step-by-step explanation:

given y varies directly as x, the the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 10 when x = 6, hence

k = \frac{y}{x} = \frac{10}{6} = \frac{5}{3}

y = \frac{5}{3} x ← is the equation


8 0
4 years ago
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