What is the answer to how does a digit in the 10,000s place compared to a digit in the thousands place

2 answers:

5 0

The ten thousands place is bigger compared to a digit in the thousands place. Lets say I have 60,000 cookies and you have 6,000 cookies. My number is bigger.

solong [7]3 years ago

4 0

The 10,000s place is smaller I think than the 1000s place

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Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles)

galben [10]

Answer: $d=\dfrac{t}{15}$ , where d= distance that Kiran walks in t minutes.

Step-by-step explanation:

Given: Kiran walked at a constant speed.

He walked 1 mile in 15 minutes.

The, distance walked by Kiran in 1 minute = $\dfrac1{15}$ mile

The distance that Kiran walks in t minutes = $t\times\dfrac{1}{15}$ miles

If d= distance that Kiran walks in t minutes

The required equation: $d=\dfrac{t}{15}$

5 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$