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ANTONII [103]
3 years ago
13

Simplify the following expression 4^-11/3÷4^-2/3A.1/12B.1/64C.12D.64​

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Question:

Simplify the following expression:

4^{-\frac{11}{3}÷4^{-\frac{2}{3} }

A.1/12

B. 1/64

C.12

D.64

Answer:

B. 1/64

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The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
34kurt

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

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2 years ago
In the figure shown, FG is tangent to circle D.
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Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

A tangent FG has been drawn at a point G on the circle from an external point F.

By theorem,

Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.

Therefore, DG ⊥ FG.

Option B will be the correct option.

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Answer:

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Step-by-step explanation:

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Write a quadratic function in standard form with zeros 1 and -10
Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

<u>Standard Form of Quadratic Function</u>

The standard form of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

The factored form of a quadratic equation is:

f(x)=a(x-\alpha)(x-\beta)

Where \alpha and \beta are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

f(x)=a(x-1)(x-(-10))

f(x)=a(x-1)(x+10)

Operating:

f(x)=a(x^2+10x-x-10)

Joining like terms:

f(x)=a(x^2+9x-10)

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

\boxed{f(x)=x^2+9x-10}

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FlybynightSavings.com is offering a savings account that pays 28% compounded continuously. How much interest would a deposit of
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