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3 years ago

Find f(5) for f (x)=1/4 (2)^x

Mathematics

2 answers:

Ber [7]3 years ago

7 0

F(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8

answer
A. 8

joja [24]3 years ago

6 0

Your function is f(x)=1/4(2)^x

f(5)=1/4 (2)^5 Apply the exponent to the value inside the parentheses

f(5)=1/4 x 32 Multiply 1/4 and 32

f(5)= 8

Your answer is A. 8

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Find [4(cos15° + isin15°)]^3 and express it in a + bi form.

AleksandrR [38]

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 ( $\frac{\sqrt{2} }{2}$ + $\frac{\sqrt{2} }{2}$ i )

= 64 ( $\frac{\sqrt{2} }{2}$ (1 + i) )

= 32 $\sqrt{2}$ (1 + i)

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2 years ago

I need help with this question plzzz Geometry

KATRIN_1 [288]

Answer:

If the perimeter of a square measures 32 cm, each side measures 32/4= 8 cm, because all sides are equal.
The diagonal that passes through the center of the square divides the square into two triangles. The triangles are formed by a hypotenuse (the diagonal, which is k in this case), and two sides, that measure 8 cm each, in this case.
Because of Pythagoras' theorem, we know that the lenght of the hypotenuse (in this case the hypotenuse is k) equals the squared root of the sum of the squared sides, which in this case can be expressed as $k=\sqrt{8^2+8^2} =\sqrt{64+64}=\sqrt{128}=11.31$ .
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2 years ago

Graph this function: y–3= – (x+10) Click to select points on the graph.

Nikolay [14]

Answer:

See below

Step-by-step explanation:

We can simply use a graphing calculator to graph the function

$\boxed{y-3 = -(x+10)}$

See in the attached file!

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ratelena [41]

Answer:

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2 years ago

Lim x>-1 x^2-x-2/x+1

antiseptic1488 [7]

Answer:

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Step-by-step explanation:

If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.

In this case, factoring the polynomial at the top would be helpful.

The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)

The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:

-1-2 = -3

Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.

I hope this helped you.

7 0

3 years ago