All categories

4 years ago

What do you need to know?

Mathematics

1 answer:

cupoosta [38]4 years ago

4 0

Answer:

incorrect

Step-by-step explanation:

the volume of a cube = s³ ( where s is the length of the side )

to find s take the cube root

s = $\sqrt[3]{27}$ = 3

since 3 × 3 × 3 = 27

You might be interested in

What is the d/dx tan^3x

Bad White [126]

$\frac{d}{dx}(tan^{3}x) = \frac{d}{dx}(tanx)^{3}$
$= 3(tanx)^{2} \cdot sec^{2}x$

$\therefore \frac{d}{dx}(tan^{3}x) = 3tan^{2}x \cdot sec^{2}x$

6 0

4 years ago

A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk

Tcecarenko [31]

Answer:

T(x) = (√(4+x^2))/2 +(c -x)/4
(a) x = 1.155 miles
(b) x = 1/2 mile

Step-by-step explanation:

The straight line distance from the starting point to the point x on the road is given by the Pythagorean theorem:

d1 = √(2²+x²)

The time required to walk that distance in the woods (at 2 miles per hour) is ...

time = distance / speed

t1 = √(4+x²)/2

The remaining distance along the road to the car is ...

d2 = c - x . . . . . for c > x

and the corresponding time at 4 mph is ...

t2 = (c -x)/4

Then the total time is ...

T(x) = t1 +t2

T(x) = √(4+x²)/2 +(c -x)/4

(a) The value of x that minimizes total time is the one that makes the derivative zero.

T'(x) = x/(2√(4+x²)) -1/4

0 = (2x -√(4+x²))/(4√(4+x²))

√(4+x²) = 2x . . . . . fraction is zero when numerator is zero; add radical

4 +x² = 4x² . . . . . . square both sides

4/3 = x² . . . . . . . . . subtract x², divide by 3

x = (2/3)√3 ≈ 1.1547

If c = 9 miles, x = 1.1547 miles.

(b) For c < (2/3)√3, the shortest travel time will be along the straight-line path to the car.

If c = 1/2 mile, x = 1/2 mile.

8 0

3 years ago

Ms. Patel has 24 students in her class. When she collected yesterday's homework, Ms. Patel found that 16 students completed the

azamat

Answer:

Maybe

1/8 is the probability that the first two assignments Ms.patel collected were completed in pencil

8 0

3 years ago

What function represents this graph??

mr Goodwill [35]

The required piecewise function that represents the graph is given as:

$f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.$

<h3>Piecewise functions</h3>

The graph consists of 3 lines with different equations and slopes. In order to determine the function it represents, we will create a piecewise function.

For the line crossing the negative x-axis

Using the coordinate points (-4, 2) and (-2, -4)

Slope = -6/2

Slope = -3

2 = -3(-4) + b
2 - 12 = b

b = -10

The equation of the line will be y = -3x-10

For the line crossing the negative y-axis

Using the coordinate points (-2, -4) and (2,-2)

Slope = 2/4

Slope = 1/2

-2 = 1/2(2) + b
-2 - 1 = b

b = -3

The equation of the line will be y = -1/2x-3

For the line crossing the positive x-axis

Using the coordinate points (2, -2) and (3, 0)

Slope = 2/1

Slope = 2

0 = 2(3) + b
0 - 6 = b

b = -6

The equation of the line will be y = 2x-6

The required piecewise function that represents the graph is given as:

$f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.$

Learn more on piecewise function here: brainly.com/question/18499561

#SPJ1

3 0

2 years ago

Which formula should be used to find the area of a house shaped figure

krek1111 [17]

I believe the answer would be Base*height

8 0

3 years ago