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Gnom [1K]
3 years ago
8

(WILL DO BRAINLIST)

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
You have a function y= \dfrac{3}{2} \left(1+\sin  \left(\dfrac{2t+1}{2}\cdot \pi\right) \right).
Since the range of the function y=\sin x is [-1,1] you have that

-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3.
Answer: The range of given function is [0,3] and the correct choice is C.
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Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​
Svetach [21]

9514 1404 393

Answer:

  3

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

  f(x) = ((x -2)x -7)x +5

and ...

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

Then ...

  f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

  = (3+2√3 -7)(2+√3) +5

  = 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

  f(1/(2 -√3)) = 3

_____

If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

6 0
3 years ago
Select the correct answer from each drop-down menu.<br>Shape I is similar to shape II.​
SIZIF [17.4K]

Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

3 0
3 years ago
Read 2 more answers
At the state fair, admission at the gate is $9. In addition, the cost of each ride is $3. Suppose that Deshaun will go on x ride
pshichka [43]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

Step-by-step explanation:

Given :

At the state fair, admission at the gate is $9.

In addition, the cost of each ride is $3.

Suppose that Sam will go on x rides.

Then, cost of x rides ( in dollars) = Cost per ride x Number of rides

=3x

Total cost ( in dollars) : Admission fee + cost of x rides

= 9+3x

Sam wants the total number of dollars he spends on admission and rides to be at most t ( less than or equal to t )

9\text{ + 3x }\leq\text{ t}

CONCLUSION:

The final answer is:

Using the values and variables given, write an inequality describing this.​

9\text{ + 3x }\leq\text{ t}

4 0
1 year ago
Find the surface area of a sphere with a volume of 36π in3.
swat32
First use known volume to solve for radius:
V=\frac{4}{3}\pi r^{3}
r=\sqrt[3]{\frac{3V}{4\pi}}
r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}
r=\sqrt[3]{27}
r=3

Then use the radius to get the surface area:
A_{surf}=4 \pi r^{2}
A_{surf}=4 \pi 3^{2}
A_{surf}=4 \pi 9
A_{surf}=36\pi\approx113.09
6 0
3 years ago
Staff from the school newspaper is taking a poll to find out how students in the school are going to vote in the upcoming electi
Sav [38]

<u>Answer:</u>

The correct answer option is 'Every tenth student in the main hallway between class.'

<u>Step-by-step explanation:</u>

Every tenth student in the main hallway between class would best represent the sample population since majority of the students transit this hallway unlike the rest of the options.

For instance, polling every tenth student in the library at lunch would result in the favor of views of students who frequently visit the library and polling every tenth student in the student section at the school football game would go in favor of those who prefer sports.


7 0
3 years ago
Read 2 more answers
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