MATHEMATICS COLLEGE

The volume of an object is given as a function of time by V = A + B t + C t4 . Find the dimension of the constant C

Answers

Answer 1

Answer:

Answer:

The dimensions of constant C are of $[L^(3)T]^(-4)$

Step-by-step explanation:

It is given that

$V(t)=A+Bt+Ct^(3)$

Since the dimensions of volume are $[L^(3)]$

Each of the term shall have a dimension of $[L^(3)]$ since they are in addition.

Thus for third term we can write

Thus we have

$[L^(3)]=[C][T^(4)]\n\n\therefore [C]=[L^(3)][T^(-4)]$

Related Questions

Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.a. Let m (w) = 3 w^17 4^w. Find m ′(w) . b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t). c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x). d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .
Which property is shown in the matrix addition below?[-6 15 -2 ] + [6 -15 2 ] = [0 0 0
The soccer team is making pizzas for a fundraiser. They put1/4 of a pound of cheese on each pizza. If they have 12 one-pound packages of cheese, how many pizzas can they make?
Which of these is the smallest number: A.0.452B. 45%C. 0.045
Find the surface area of the cone in terms of pie 18 height 12 radius

Can I get the answer for 3 4 5 6

Answers

3) x=190, <BOC=85

4) x=177, <TOU=31

5) x=61, <LOM=110

6) x=55, <DOE=117

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Answers

distance travel from house to bank=x
distance travel from bank to mall=y
distance travel from mall to house=√x²+y²

total distance=|x|+|y|+√x²+y²

Answer:

40 Miles is the answer

Step-by-step explanation:

Which of the following scatterplots would have a trend line with a positive slope?

Answers

the first one will be positive!

Answer:

It's the first answer.

Step-by-step explanation:

As demonstrated through the image, the slope increases. Thus making it a positive slope.

Mariel thinks the tens digit goes up by 1 in these numbers. Do you agree? Explain. 864,865,866,867,868,869

Answers

Answer:

No, because it is not the tens digit that goes up by 1 in these numbers, it is the unit digit.

Step-by-step explanation:

It is important to know the concepts of units, tenths and cents.

For example

1 = 1 unit

10 = 1*10 + 0 = The tens digit is one the unit digit is 0

21 = 2*10 + 1 = The tens digit is two and the unit digit is 1.

120 = 1*100 + 2*10 + 0 = The cents digit is 1, the tens digit is two and the unit digit is 0.

Adding 1 is the same as the unit digit going up by 1.

Adding 10 is the same as the tens digit going up by 1.

Adding 100 is the same as the cents digit going up by 1.

In this problem, we have that:

864,865,866,867,868,869

Each value is the 1 added to the previous value, that is, the unit digit goes up by 1.

Mariel thinks the tens digit goes up by 1 in these numbers. Do you agree?

No, because it is not the tens digit that goes up by 1 in these numbers, it is the unit digit.

Answer:

disagree, its the unit number that goes up by 1

Step-by-step explanation:

diane draws abtuse, isoscules triangle with one of the angle mesuring 35. what i sthe messer of teh obtuse triangle

Answers

Answer:

All angle = (110°, 35°, 35°)

Step-by-step explanation:

Given:

Triangle is a Obtuse isosceles triangle

One angle = 35°

Find:

All angle

Computation:

In the Obtuse isosceles triangle, one angle is obtuse and the other two angles are acute so, two equal angles are 35°

So,

Sum of angle property

x + 35° + 35° = 180°

x = 110°

Obtuse angle = 110°

All angle = (110°, 35°, 35°)

Drag each description to the correct location on the chart. In a large single-elimination basketball tournament, the first round of play begins with 64 teams. In each successive round, the number of teams remaining in the tournament is reduced by half. This relationship can be described by the following exponential function. When this relationship is graphed, determine the quantity and axis that will represent each of the variables. x-axis y-axis Teams Remaining Tournament Round

Answers

After the first round only 32 teams will left.

After the second round 16 teams will left.

After the third round 8 teams will left.

After the fourth round only 4 teams will left.

After the fifth round only 3 teams will left.

After the sixth round only 1 team will left.

What is independent and dependent variable?

If x and y are two variables in an algebraic equation and every value of x is linked with any other value of y, then 'y' value is said to be a function of x value known as an independent variable, and 'y' value is known as a dependent variable.

What is an exponential function?

An exponential function is a mathematical function in the form f(x) = $a^(x)$ where x is a variable, and a is a constant called the base of the function.