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3 years ago

Evaluate: this problem, I have attached a picture

Mathematics

1 answer:

IRINA_888 [86]3 years ago

6 0

$e^{2+i\pi/6}=e^2e^{i\pi/6}=e^2\left(\cos\dfrac\pi6+i\sin\dfrac\pi6\right)=\dfrac{e^2}2(\sqrt3+i)$

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F(x)= x+3 h(x)= x^2+4 Find (f•h)(x)

Dmitrij [34]

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

x³+3x²+4x+12

4 0

3 years ago

If f(x) = 3x – 12, what is f(2)?

fredd [130]

It would be B. -6.

f(x) = 3x-12
f(2) = 3(2)-12
f(2) = 6-12
f(2) = -6

5 0

3 years ago

Read 2 more answers

What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a h

azamat

Answer:

62.4 square centimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of the triangular pyramid is equal to the area of the triangular base plus the area of its three lateral triangular faces

In this problem the triangles are equilateral, that means, the

surface area is equal to the area of four congruent equilateral triangles

$A=4[\frac{1}{2}(b)(h)]$

we have

$b=6\ cm\\h=5.2\ cm$

substitute

$A=4[\frac{1}{2}(6)(5.2)]=62.4\ cm^2$

3 0

3 years ago

Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The

julsineya [31]

Answer:

Interval notation: [0, 2.236]

Set Builder notation: $\{t\ |\ 0\le t\le 2.236\}$

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

$h(t) = 10 - 2t^2$

Where $t$ is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

Domain of a function is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be 0 seconds.

And the value of height can not be lesser than that of 0 ft.

$0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds$

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

Interval notation: [0, 2.236]

Set Builder notation: $\{t\ |\ 0\le t\le 2.236\}$

4 0

3 years ago

Find the circum center of a triangle whose vertices are (-2, -1) , (-1, 6 ) and (2, 7).

lina2011 [118]

Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

7 0

3 years ago