All categories

3 years ago

If you had a cube with a side length of 4, how can your write the calculations in exponential form?

Mathematics

1 answer:

umka21 [38]3 years ago

8 0

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power".

You might be interested in

All parts please, i need this by the end of today and pls write answer in comments

ale4655 [162]

Answer:

$= \frac{78}{360} \\ = \frac{13}{60}$

$let \: total \: number \: be \: x \\ \frac{13}{60} x = 1164 \\ x = \frac{1164 \times 60}{13} \\ x = 5372 \: movies$

A year has (4 × 12) weeks

= 48 weeks.

In 1 week = 9,568,000 movies

48 weeks = (48 × 9,568,000) movies

Average movies = 459.264 movies

Since 9.568 million movies are rented.

How about in one year ( 48 weeks )

Convert 1 year to weeks and compare with 1 week

7 0

2 years ago

What is the weight of a ring tailed lemur that has a mass of 10 kg? Use w = mg (g = -9.8 m/s^2)

fiasKO [112]

Answer:

None of these

Step-by-step explanation:

Normally, we consider "weight" to be the force due to gravity that an object exerts in the downward direction. It has a positive value equal to the magnitude of "mg". In this instance, it would be ...

... |(10 kg)·(-9.8 N/kg)| = |-98 N| = 98 N

___

However, you're specifically told to use ...

... w = mg

... w = (10 kg)(-9.8 m/s²) = -98 N

This selection is not among those offered.

8 0

3 years ago

Which of these points lies on the line described by the equation below y-4=-2(x-6)?

Burka [1]

Answer: x=4

Step-by-step explanation:

3 0

3 years ago

Find each percent of change.

nlexa [21]

1) 25% increase
2) 30% increase
3) 20% decrease
4) 40% decrease
5) 5% increase
6) 15% decrease
7) 36% increase
8) 39% decrease

7 0

3 years ago

The function h(t) = -4.922 +17.694+ 575 is used to model the height of an object being tossed from a tall building, where

wel

Correct question is;

The function h(t) = -4.92t ² + 17.69t + 575 is used to model an object being tossed from a tall building, where h(t) is the height in meters and t is the time in seconds. Rounded to the nearest hundredth, what are the domain and range?

Answer:

The domain and range are:

Domain: [0, 12.76]

Range: [0, 590.9]

Step-by-step explanation:

For the domain;

Let's find the root of the given function h(t) = -4.92t ² + 17.69t + 575.

We will do it by Equating h(t) to zero and using quadratic formula;

So;

-4.92t ² + 17.69t + 575 = 0

t = [-17.69 ± √(17.69² - 4(-4.92 × 575))]/(2 × -4.92)

Solving with a calculator, the roots are

t = -9.16 or t = 12.76

We ignore the negative root and make use of the positive root.

Thus, the domain is:

[0, 12.76]

For the range:

Let's find the derivative of the given function:

Thus;

h'(t) = -9.84t + 17.69

Again like we did for the domain, we will equate to zero to find t

Thus;

-9.84t + 17.69 = 0

t = 17.69/9.84

t ≈ 1.8

Thus, this is the time at which the object being tossed reaches the maximum height of the function.. Thus max height at t = 1.8 is;

h(1.8) = (-4.92 × 1.8²) + (17.69 × 1.8) + 575

h(1.8) = -15.9408 + 31.842 + 575

h (1.80) ≈ 590.9

So the range is; [0, 590.9]

5 0

3 years ago