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3 years ago

7 1/2 - 5 2/3 explained

Mathematics

2 answers:

SVETLANKA909090 [29]3 years ago

5 0

Exact form: 11/6

decimal form: 1.83333333

mixed number: 1 5/6

worty [1.4K]3 years ago

3 0

So multiply 1 by 2 and add 1
and same with 5 times 3 plus 2
$\frac{15}{2} - \frac{17}{3}$
Which would be $\frac{11}{6}$
So, your answer would be as a mix number
$1 \frac{5}{6}$

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Does the square root of a rational number have to come out as a rational number?

AlekseyPX

Answer:

no it does not have to

Step-by-step explanation:

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3 years ago

Given g(x)=8x+3 find the following g(-1) and g(2a+1)

Degger [83]

Answer:

g(-1) = -5

g(2a+1) = 16a+11

Step-by-step explanation:

Substitute the given value into the function and evaluate.

So for g(x) = 8x+3

You substitute g(-1)

So g(-1) = 8(-1)+3

That is how you get -5

Then g(2a+1)

So g(2a+1) = 8(2a+1)+3

Thats how you get 16a+11

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2 years ago

A mass oscillating up and down on the bottom of a spring can be modeled as harmonic motion. if they weight is displaced a maximu

snow_tiger [21]

9514 1404 393

Answer:

1.63 cm (across the centerline from release)

Step-by-step explanation:

If we assume time starts counting when we release the weight from its fully-extended downward position, then the position at 1.15 seconds can be found from ...

h(t) = -7cos(2πt/4)

h(1.15) = -7cos(π·1.15/2) = -7(-0.233445) ≈ 1.63412 . . . cm

That is, 1.15 seconds after the weight is released from below the resting position, it will be 1.63 cm above the resting position.

If it is released from <em>above</em> the resting position, it will be 1.63 cm <em>below</em> the resting position at t=1.15 seconds.

6 0

3 years ago

140 subtracted from the square of a number the result is three times the number find the negative solution

natima [27]

Answer:

$Suppose~that~the~number~is~x.\\According~to~question,\\x^2-140=3x\\or, x^2-3x-140=0\\From~the~quadratic~formula,\\x = \frac{-(-3)+\sqrt{(-3)^2-4(1)(-140)} }{2(1)} ~and ~x= \frac{-(-3)-\sqrt{(-3)^2-4(1)(-140)} }{2(1)} \\or, x = \frac{3+\sqrt{9+560} }{2}~and~x=\frac{3-\sqrt{9+569} }{2}\\or, x = \frac{3+\sqrt{569} }{2}~and~x=\frac{3-\sqrt{569} }{2}\\So,~the~required~negative~number~is~\frac{3-\sqrt{569} }{2}.$

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3 years ago

32 is between which two perfect squares?

katovenus [111]

Answer:

5 * 5 = 25 and 6 * 6 = 36 :)

Step-by-step explanation:

32 is between 5 * 5 = 25

and also between 6 * 6 = 36

those are both perfect squares

i hope this helps

3 0

3 years ago