Algebra and Functions
What is the solution to the equation 2(x - 3) = 4x - 1 ?
-5/2
7 pounds of plums make 8 rolls of fruit leather. If every batch of fruit leather requires the same amount of plums, how many pounds of plums are required to make 20 rolls of fruit leather?
17.5
Triangles ABC and XYZ are similar. What is the length of XZ?
24
The perimeter of a standard-sized rectangular rug is 24feet. The width is 2less than the length. Find the dimension.
Width = 5 feet
Length = 7 feet
lim(x→0) sin(x)/x
1
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
36
Erika plans to purchase seed to plant grass in a large field. She has a map of the region, and calculates the area of the region on paper to be 180 cm2. The scale on the map shows that 1 cm = 20 ft. If Erika plans to cover every 400 ft2 with one pound of seed, approximately how many pounds of seed will she ned to cover the entire field?
180
What is the relationship between angles 1 and 3?
corresponding angles
Find the original price of a pair of shoes if the sale price is $45 after a 25% discount.
$60
What is the derivative of x3
3x2
Which of the following expressions is equivalent to (x + 7)(x2 – 3x + 2)?
x3 + 4x2 – 19x + 14
Mr. Jadav raised all of his students' scores on a recent exam bt 10 points. What effect did this have on the mean and median of the scores?
Both the mean and median increased by 10 points!
What is the circumference of a circle with a diameter of 4 inches?
12.57
Find last year’s salary if, after a 4%pay raise, this year’s salary is $35, 360.
$34, 000
What is the integral of 4x3
x4 + C
What, if any, is a real solution to 5x+1+9=3?
There is no real solution.
At a primate reserve, the mean age of all male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age m of the combined group of male and female primates at the primate reserve?
15 < m < 19
Based on the following information, where ∠ABD is a right angle, which equation could be used to solve for x?
m∠DBC=x
m∠CBA=2x
2x - x = 90
Find the vertex of the parabola .
(2,-1)
What is the integral of 1/x
ln(x) + C
The surface area of a right rectangular prism can be found by finding the sum of the area of each of the faces of the prism. What is the surface area of a right rectangular prism with length 4 centimeters (cm), width 9 cm, and height 3 cm? (Area of a rectangle is equal to length times width.)
150 cm2
A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecraft at a data rate of 3 megabits per second for a maximum of 11 hours each day. If 1 gigabit equals 1,024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?
10
Several maple trees were recently cut. The felled logs were approximately cylinders, 1.5 m in diameter and 6 m long. They were milled on-site into boards. During the milling process, about 15% of the volume of wood from the tree is lost. The density of the wood is 673 kg/m3. If 16 maple trees were initially cut down, and the trucks that transport the boards can carry up to 18,143 kg, how many truck loads will be required to transport all the boards?
6
Find if
and
is in Quadrant III.
What is the definite integral of x2 from 0 -> 3
9