The cube root of every integer is an integer. True or false

What is fifty five hundredths plus twenty five hundredths

Maksim231197 [3]

That would be 8000.. hope it helps

6 0

3 years ago

A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of

Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0

2 years ago

Which graph most likely shows the experimental probability histogram of X based on 100 data points?

Archy [21]

Answer:

see attached

Step-by-step explanation:

Based on 100 trials, we don't expect the experimental probability to deviate much from the theoretical probability. The scales on the attached graphs are hard to read, but you want to choose the graph that ...

has bars that total 100 in their length
has bars that are approximately .50, .25, .17, .08 in height, corresponding to the area fraction

We think the appropriate choice may be C, but we cannot tell for sure.

3 0

2 years ago

kelly is using a bucket to fill up a barrel with water from a well. The barrel holds 25.5 liters.the bucket holds 800 millileter

SVEN [57.7K]

To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket.

25.5 - 5.2 = 20.3 Litres

In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units.

20.3L = 20300mL

You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel.

20300 <span>÷ 800 = 25.375

That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26.

Hope this helps :) </span>

6 0

3 years ago

Which value of x makes the equation 0.5(x + 16) = 3 + 0.25(x – 4) true?

Fynjy0 [20]

Answer:it is confusing

Step-by-step explanation:

5 0

3 years ago

The cube root of every integer is an integer. True or false​

The cube root of every integer is an integer. True or false