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3 years ago

Help me with this.. thanks

Mathematics

1 answer:

sveta [45]3 years ago

3 0

Answer:

Attachment 1 :- x = 3/2

Attachment 2 :- m + r = 154°

Step-by-step explanation:

Attachment 1 :-

$9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\$

As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-

$2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}$

Attachment 2 :-

PQR is a straight line . It's given that m + n = 110°

But we know that m + n + r = 180° ..............eqn.1

So substituting the value of m+n in eqn.1 gives :-

m+n+r = 180°

=> r + 110° = 180°

=> r = 180° - 110°

= 70°

It's also given that n+r = 96°

So putting the value of r in the above gives ,

n+r = 96°

=> n + 70° =96°

=> n = 96° - 70°

= 26°

Putting the value of n in eqn.1 gives

m + n = 110°

=> m + 26° = 110°

=> m = 110° - 26°

= 84°

So m + r = 84° + 70° = 154°

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In the given question there are two events as follows:

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(b) Rolling a number less than 3 i.e. B = {1,2}

Since a die has 6 numbers,

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Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.

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3 years ago

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Answer:

0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.

Step-by-step explanation:

Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.

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3 years ago

Which graph represents the function f(x)= 0.2^x + 3

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Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation $f(x) = 0.2^{x} + 3$ , we substitute some values in the place of x.

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Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents $f(x) = 0.2^{x} + 3.$

When $x=1,$ $f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.$

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3 years ago

Read 2 more answers

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PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

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This equation is now in the form,

$y = a {x}^{2} + bx + c$
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$a=1,b=-4,c=0$

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3 years ago