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harina [27]
3 years ago
12

F(x) = -x^2-12 find f(-3)

Mathematics
2 answers:
JulsSmile [24]3 years ago
5 0

Answer:

\boxed {\boxed {\sf f(-3)= -21}}

Step-by-step explanation:

We are given the function:

f(x)= -x^2-12

We want to find f(-3), so we must substitute -3 in for x.

f(-3)= -(-3)^2 -12

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.

Solve the exponent.

  • (-3)²= -3*-3 = 9

f(-3)= -(9)-12

Distribute the -1 in.

f(-3)= -9-12

Subtract.

f(-3)= -21

For the function -x²-12, f(-3) is equal to <u>21</u>

meriva3 years ago
3 0

Answer:

-1 * (-3)^2 - 12 = -1 * 9 -12 = -9 - 12 = -21

Step-by-step explanation:

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As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.10.
Margaret [11]

Answer:

Question 1 ) Difference of Volume = 112.25 cm³

Question 2) Volume = 6400π feet³

Step-by-step explanation:

<h3>As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.10. If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339.12 cm3, how much more will the new cans hold? Use 3.14 for π and round your answer to the nearest hundredth.</h3>

Diameter = 6 cm

Radius = 3 cm

Height = 12 cm

If we increase the dimension by 1.10, new dimesnions are:

Radius = 3 · 1.1 = 3.3 cm

Height = 12 · 1.1 = 13.2 cm

Volume = (Area)(Height) = (πr²)(Height)

Volume = (π)(3.3²)(13.2)

Volume = 451.37 cm³

Difference of Volume = 451.37 cm³ - 339.12 cm³

Difference of Volume = 112.25 cm³

<h3>The circumference of a redwood tree trunk is 16π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk? </h3>

Circumference = 2πr = 16π = 2π(8) feet

Radius = 8 feet

Volume = Volume = (Area)(Height) = (πr²)(Height)

Volume = (π)((8²)(100)

Volume = 6400π feet³

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3 years ago
If cos theta=-2/3, which of the following are possible (Help asap)
alexgriva [62]

Answer:

The correct option is B) sin\theta=\frac{\sqrt{5}}{3} and tan\theta=\frac{\sqrt{5}}{2}

Step-by-step explanation:

given cos\theta=-\frac{2}{3}

Since, cos\theta=\frac{base}{hypoteneous}

it means prependicular of right angled triangle can be calculated by pythagoras theorem as:

base² + prependicular² = hypoteneous²

      2²  + prependicular² = 3²

       4  + prependicular² = 9

              prependicular² = 9 - 4

               prependicular² = 5

               prependicular = √5

                 

Since, sin\theta=\frac{prependicular}{hypoteneous}

sin\theta=\frac{\sqrt{5}}{3}

Since, tan\theta=\frac{prependicular}{base}

tan\theta=\frac{\sqrt{5}}{2}

Hence, the correct option is B) sin\theta=\frac{\sqrt{5}}{3} and tan\theta=\frac{\sqrt{5}}{2}

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Answer:

The height of the right circular cylinder is 4.55 inches ⇒ b

Step-by-step explanation:

The formula of the surface area of a right circular cylinder is

S.A = 2πrh + 2πr², where

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→ Divide both sides by 31.4

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∴ 4.55 = h

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