Question 1

Express the statement as a formula and use the information to find the constant of proportionality: $P$ is jointly proportional to the squares of $s$ and $t$ . If $s = 4$ and $t = 8$ then $P = 5120$ .

Accepted Answer

The answer of Express the statement as a formula and...

Question 2

Write an equation that expresses the statement.
D is proportional to the square root of x.

Accepted Answer

The answer of Write an equation that expresses the statement.
D...

Question 3

Write the number in the statement in scientific notation:
The mass of a proton is $0.0000000000000000000000000016726231$ kg.

Accepted Answer

The answer of Write the number in the statement in...

Question 4

Perform the indicated operations and simplify. $3 ( 3 x - 4 ) - 5 ( x - 1 )$

Accepted Answer

A)  $4 x - 13$ 
B)  $2 x - 13$ 
C)  $4 x - 7$ 
D)  $2 x + 13$ 
E)  $2 x + 29$ 
A)  $4 x - 13$ 
B)  $2 x - 13$ 
C)  $4 x - 7$ 
D)  $2 x + 13$ 
E)  $2 x + 29$

Question 5

The pressure of a sample of gas is directly proportional to the temperature and inversely proportional to the volume.
(a) Write an equation that expresses this fact if$50$ L of gas exerts a pressure of $14$ kPa at a temperature of $350 ^ { \circ }$ K (absolute temperature measured on the Kelvin scale). 
(b) If the temperature is increased to $400 ^ { \circ }$ K and the volume is decreased to $40$ L, what is the pressure of the gas?

Accepted Answer

Let @#LAT-DLM& , @#LAT-DLM& and @#LAT-DLM& be the pressure,

Question 6

Which of the points $C ( - 3,2 )$ or $D ( 5,1 )$ is closer to the point $E ( - 2,4 )$ ?

Accepted Answer

None

Question 7

Simplify the expression. $\frac { - 1 } { x - 1 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }$

Accepted Answer

A)  $\frac { x ^ { 2 } - 18 } { ( 2 x - 3 ) ^ { 2 } }$ 
B)  $\frac { - x ^ { 2 } - 7 } { ( x - 2 ) ^ { 2 } }$ 
C)  $\frac { - x ^ { 2 } } { ( x - 1 ) ( x - 2 ) ^ { 2 } }$ 
D)  $\frac { 10 x - 2 } { ( 2 x + 1 ) ^ { 2 } }$ 
E)  $\frac { 2 x ^ { 2 } + 9 } { ( 2 x - 1 ) ^ { 2 } }$ 
A)  $\frac { x ^ { 2 } - 18 } { ( 2 x - 3 ) ^ { 2 } }$ 
B)  $\frac { - x ^ { 2 } - 7 } { ( x - 2 ) ^ { 2 } }$ 
C)  $\frac { - x ^ { 2 } } { ( x - 1 ) ( x - 2 ) ^ { 2 } }$ 
D)  $\frac { 10 x - 2 } { ( 2 x + 1 ) ^ { 2 } }$ 
E)  $\frac { 2 x ^ { 2 } + 9 } { ( 2 x - 1 ) ^ { 2 } }$

Question 8

Write $0.000101010$ in scientific notation.

Accepted Answer

The answer of Write $0.000101010$ in scientific notation....

Question 9

Write $1,010,100,000,000$ in scientific notation.

Accepted Answer

The answer of Write $1,010,100,000,000$ in scientific notation....

Express the statement as a formula and use the information to find the constant of proportionality: $P$ is jointly proportional to the squares of $s$ and $t$ . If $s = 4$ and $t = 8$ then $P = 5120$ .

Write an equation that expresses the statement. D is proportional to the square root of x.

Write the number in the statement in scientific notation: The mass of a proton is $0.0000000000000000000000000016726231$ kg.

Perform the indicated operations and simplify. $3 ( 3 x - 4 ) - 5 ( x - 1 )$

Which of the points $C ( - 3,2 )$ or $D ( 5,1 )$ is closer to the point $E ( - 2,4 )$ ?

Simplify the expression. $\frac { - 1 } { x - 1 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }$

Write $0.000101010$ in scientific notation.

Write $1,010,100,000,000$ in scientific notation.

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Unit Circle Approach

Trigonometric Functions: Right Triangle Approach

Analytic Trigonometry

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Conic Sections

Sequences and Series

Limits: a Preview of Calculus

Filters

Exam 1: Fundamentals

Express the statement as a formula and use the information to find the constant of proportionality: PPP is jointly proportional to the squares of sss and ttt . If s=4s = 4s=4 and t=8t = 8t=8 then P=5120P = 5120P=5120 .

Write an equation that expresses the statement. D is proportional to the square root of x.

Write the number in the statement in scientific notation: The mass of a proton is 0.00000000000000000000000000167262310.00000000000000000000000000167262310.0000000000000000000000000016726231 kg.

Perform the indicated operations and simplify. 3(3x−4)−5(x−1)3 ( 3 x - 4 ) - 5 ( x - 1 )3(3x−4)−5(x−1)

Which of the points C(−3,2)C ( - 3,2 )C(−3,2) or D(5,1)D ( 5,1 )D(5,1) is closer to the point E(−2,4)E ( - 2,4 )E(−2,4) ?

Simplify the expression. −1x−1−4(x−2)2\frac { - 1 } { x - 1 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }x−1−1​−(x−2)24​

Write 0.0001010100.0001010100.000101010 in scientific notation.

Write 1,010,100,000,0001,010,100,000,0001,010,100,000,000 in scientific notation.

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Unit Circle Approach

Trigonometric Functions: Right Triangle Approach

Analytic Trigonometry

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Conic Sections

Sequences and Series

Limits: a Preview of Calculus

Filters

Express the statement as a formula and use the information to find the constant of proportionality: $P$ is jointly proportional to the squares of $s$ and $t$ . If $s = 4$ and $t = 8$ then $P = 5120$ .

Write the number in the statement in scientific notation: The mass of a proton is $0.0000000000000000000000000016726231$ kg.

Perform the indicated operations and simplify. $3 ( 3 x - 4 ) - 5 ( x - 1 )$

Which of the points $C ( - 3,2 )$ or $D ( 5,1 )$ is closer to the point $E ( - 2,4 )$ ?

Simplify the expression. $\frac { - 1 } { x - 1 } - \frac { 4 } { ( x - 2 ) ^ { 2 } }$

Write $0.000101010$ in scientific notation.

Write $1,010,100,000,000$ in scientific notation.