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devlian [24]
3 years ago
6

Mr Smith is on a road trip from Cleveland to Chicago. He is 65% of the way there , and has already driven 455 miles. How many mo

re miles does he have left.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
Hi i'd be glad to help you with this equation. 

basically all we have to do is find (65%) of 455*. 

65% of 455* = 295.75 

Next. 

455 + 295.75 = 750.75 

So, to check my work I have 750.75 miles in total. 

I have already driven 455 miles of 750.75 miles. 

Using subtraction we subtract our distance from our total. 

750.75 - 455 = 295.75 

So, in total your answer to this problem is (295.75) 

Hope this helps. 
Have a great day!
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What is the degree of x^5-4x+2
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Answer:

degree 5

Step-by-step explanation:

the degree of a polynomial is determined by the term with the largest exponent and is the value of the exponent.

x^{5} is the term with the largest exponent of 5

degree of polynomial is 5


8 0
3 years ago
Is 1/3 a irrational number?
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Answer: 13 is a rational number

Step-by-step explanation: By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.

8 0
2 years ago
A system of
jok3333 [9.3K]

Answer:

A system of

equations with infinitely many solutions would be represented on a graph

by parallel lines.

True

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Step-by-step explanation:

8 0
3 years ago
A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that
Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

P(A\cap B)=P(A).P(B)

Now, According to question , we can get that

P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}

So,

P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}

So, by using the conditional probability , which state that

P(B\mid A)=\frac{P(A\cap B)}{P(A)}

P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}


4 0
3 years ago
Which equation below gives an incorrect value for the function k(x) = 512 x ?
Rus_ich [418]
The function is  k(x) = 512 · x .

Try 'A':      k(2/3) = (512) · (2/3) =  341.33...   not 64

Try 'B':      k(4/9) = (512) · (4/9) =  257.55...    not 16  

Try 'C':      k(1/3) = (512) · (1/3) =  170.66...    not 8

Try 'D':      k(2/9) = (512) (2/9) =  113.77...    not 8 .

So far, it looks like NONE of the choices is correct.

But wait !  There's more !

What if the actual function is                   k(x)  =  512ˣ
that is,  512 raised to the 'x' power ?
That would be a horse of a different cruller.

Let's try THAT out.

First, here are two facts that we'll need:

         ==>  512 ^ 1/3  =  8
and
         ==>  512 ^ 1/9  =  2 .

OK. NOW ...

Try 'A':  k(2/3) = (512) ^ 2/3  =  8^2 = 64             yes !

Try 'B':  k(4/9)  =  (512) ^ 4/9  =  2^4  =  16        yes !

Try 'C':  k(1/3)  =  (512) ^ 1/3  =  8                      yes !

Try 'D':  k(2/9)  =  (512) ^ 2/9  =  2^2  =  4  not  8 .

So here's what we have learned:

-- The function in the question is actually    k(x) = 512 ^ x

-- Choice-D is the incorrect one.
5 0
3 years ago
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