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3 years ago

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

5 0

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

6 0

3 years ago

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3 years ago

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Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inc

julsineya [31]

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

r is its radius

h is its height

∵ The surface area of a right circular cylinder is 300 square inches

∴ S.A = 300 in.²

∵ Its radius is 5 inches

∴ r = 5 in.

∵ π = 3.14

→ Substitute them in the rule above

∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²

∴ 300 = 31.4h + 157

→ Subtract 157 from both sides

∵ 300 - 157 = 31.4h + 157 - 157

∴ 143 = 31.4h

→ Divide both sides by 31.4

∵ 4.554140127 = h

∴ 4.55 = h

∴ The height of the right circular cylinder is 4.55 inches

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4 years ago

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irina1246 [14]

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3 years ago

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