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2 years ago

Simplify this expression

Mathematics

1 answer:

Fantom [35]2 years ago

8 0

Answer:

${3}^{ - 3} = ({ \frac{1}{3} )}^{3} = \frac{1}{27}$

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alex41 [277]

Yesyesyes thank you have an amazing day!

3 0

2 years ago

Read 2 more answers

A building 84 ft high casts a 46 ft shadow. How tall is a building that casts a 110 ft shadow at the same time of the day? (to t

Bond [772]

The ratio of building heights will be the same as the ratio of shadow lengths.
(taller building)/(shorter building) = (longer shadow)/(shorter shadow)
(taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
(taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate

The appropriate selection is
D) 200.9 ft

4 0

2 years ago

Read 2 more answers

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

5 0

11 months ago

WHAT THE HECC IS THIS

anyanavicka [17]

Answer:

h(x)

Step-by-step explanation:

to solve for an inverse, you swap the x and the y and then solve for y

f(x) = 4x^3-8

y = 4x^3 - 8

x = 4y^3 - 8 swap the x and y

now solve for y:

x + 8 = 4y^3

(x + 8)/4 = y^3

1/4x + 8/4 = y^3

1/4x + 2 = y^3

y = $\sqrt[3]{1/4x + 2}$

4 0

1 year ago

Question 1 (Multiple Choice Worth 4 points)

zalisa [80]

Answer:

The answer is "Analysis the information by chart and number processes".

Step-by-step explanation:

They already have articulated a query and also gathered information unless you are searching only at the distribution of your results. Those who are ready to analyze your results for all are there.

6 0

2 years ago