Answer:
It not necessary that every time the sum of two five digit number is a six digit number.
Step-by-step explanation:
We are given the statement that sum of two five digit numbers is always a six digit number.
We have to give a counter example to show that the given statement is false.
It not necessary that every time the sum of two five digit number is a six digit number.
Example:
10,000 + 30,000 = 40,000
13,245 + 74,632 = 87,877
56463 + 26230 = 82693
50,000 + 50,000 = 1,00,000
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
Since the density is given in grams per cubic centimeter, we are going to convert the dimensions of the door to centimeters to calculate its volume in cubic centimeters.
We know that 1 meter = 100 centimeters and 1 centimeter = 10 millimeter, so we can use those conversion factors to convert from millimeters to centimeters and from meters to centimeters:



The volume of the layer of the paint will be height times wide time thickness, so:


Now, to find the mass needed to paint the door, we are going to use the formula:

where

is mass

is density

is volume
We know from our problem that

, and we know form our previous calculation that

, so lets replace those values in our formula to find

:



We can conclude that we will need
25200 grams of paint to paint the door.
Answer:
choice 1) 7
Step-by-step explanation:
6 + (9-1)^2 / 4 x (1/2)^4
6 + 64/4(1/16)
6+16/16
6+1 = 7
Answer:
112
Step-by-step explanation:
8×14 if each row has 8 chairs, and there's 14 rows that means 8×14 which equals 112 :)