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MrRa [10]
3 years ago
14

Given f(x) = 6(1-X), what is the value of f(8)?

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

-42

Step-by-step explanation:

f(8)=6(1-8)

because of that 1-8 is -7 so you times by 6 and get -42

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If the odds against an event are 3:5, then the probability that the event will fail to occur is
damaskus [11]

Answer:

3/8

Step-by-step explanation:

probability = wanted outcomes / total outcomes

odds = wanted outcomes / unwanted outcomes

Odds of 3:5 losing means 3 losing outcomes and 5 winning outcomes.

The total outcomes is 8

The probability of losing which is the probability that the event will fail to occur is 3/8.

3 0
2 years ago
Can anybody show me how to do this half angle identity problem STEP BY STEP? I always seem to be missing something
klio [65]

Answer:   \bold{-\dfrac{7\sqrt2}{10}}

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

It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0).  Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ cos\ \dfrac{\theta}{2}

It is given that sin θ = -\dfrac{7}{25}  ⇒  y = -7 & hyp = 25

Use Pythagorean Theorem to find "x":

x² + y² = hyp²

x² + (-7)² = 25²

x² + 49 = 625

x²         = 576

      x   =  24    

Use the "x" and "hyp" values to find cos θ:

cos\ \theta=\dfrac{x}{hyp}=\dfrac{24}{25}    


Lastly, input cos θ into the half angle formula:

cos\bigg(\dfrac{\theta}{2}\bigg)=\pm \sqrt{\dfrac{1+cos\ \theta}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{1+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{25}{25}+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{49}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{49}{50}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\.\qquad \quad =\pm \dfrac{7\sqrt2}{10}

Reminder: We previously determined that the half-angle will be negative.

6 0
3 years ago
What is the approximate volume of the cylinder? Use 3.14 for п.
Veseljchak [2.6K]

<u>Given</u>:

Given that the radius of the cylinder is 4 cm.

The height of the cylinder is 9 cm.

We need to determine the volume of the cylinder.

<u>Volume of the cylinder:</u>

The volume of the cylinder can be determined using the formula,

V=\pi r^2 h

where r is the radius and h is the height of the cylinder.

Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;

V=(3.14)(4)^2(9)

V=(3.14)(16)(9)

V=452.16 \ cm^3

Thus, the volume of the cylinder is 452.16 cm³

Hence, Option B is the correct answer.

4 0
3 years ago
Can a polygon have four sides and three angles
ollegr [7]

No a polygon only has 3 sides and 3 angles.

5 0
3 years ago
Please !!!!!! Help me
PtichkaEL [24]

Answer:

a. 1 b. 3/5 or 60%

Step-by-step explanation:

number of favourable events/number of total events

3x/5x = 3/5

5 0
3 years ago
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