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The weight of an African elephant is 6 × 10^6 grams; the weight of a tiger is 3 × 10^5 grams. How many times heavier is the elephant than the tiger? A) 2 gramsB) 20 gramsC) 200 gramsD) 2,000 grams
General
4 months ago
The hypotenuse of a 45 -45 -90 triangle measures 128 cm what is the length of one leg of the triangle
General
4 months ago
1. Find the domain of the given function. (1 point)f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.A) x > 0B) All real numbersC) x ≥ -3, x ≠ 2D) x ≠ -8, x ≠ -3, x ≠ 22. Identify intervals on which the function is increasing, decreasing, or constant.g(x) = 2 - (x - 7)2 (1 point)A) Increasing: x < 2; decreasing: x > 2B) Increasing: x < -7; decreasing: x > -7C) Increasing: x < 7; decreasing: x > 7D)Increasing: x > 2; decreasing: x < 23. Perform the requested operation or operations.f(x) = 4x + 7, g(x) = 3x2Find (f + g)(x). (1 point)A) four x plus seven divided by three x squared.B) 12x3 + 21xC) 4x + 7 + 3x2D) 4x + 7 - 3x24. Perform the requested operation or operations.f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)). (1 point)A) g(f(x)) = x - five divided by eight.B) g(f(x)) = xC) g(f(x)) = 8x + 35D) g(f(x)) = x + 105. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five. (1 point)A) f(x) = nine divided by square root of x. , g(x) = 5x + 5B) f(x) = square root of quantity five x plus five. , g(x) = 9C) f(x) = nine divided by x. , g(x) = 5x + 5D) f(x) = 9, g(x) = square root of quantity x plus five6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size? (1 point)A) 4.94 secB) 3.28 secC) 9.7 secD) 1.33 sec7. Find the inverse of the function. (1 point)f(x) = the cube root of quantity x divided by seven. - 9A) f-1(x) = 21(x + 9)B) f-1(x) = [7(x + 9)]3C) f-1(x) = 7(x3 + 9)D) f-1(x) = 7(x + 9)38. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 - 9 (1 point)A) Shift the graph of y = x2 right 14 units and then up 9 units.B) Shift the graph of y = x2 down 14 units and then left 9 units.C) Shift the graph of y = x2 right 14 units and then down 9 unitsD) Shift the graph of y = x2 left 14 units and then down 9 units9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. 'A) Shift the graph of f right 14 units.B) Shift the graph of f right 4 units.C) Shift the graph of f left 14 units.D) Shift the graph of f left 4 units.10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.f(x) = -16x5 - 7x4 - 6 (1 point)A) Degree: -16; leading coefficient: 5B) Degree: 5; leading coefficient: -16C) Not a polynomial function.D) Degree: 9; leading coefficient: -1611. Write the quadratic function in vertex form.y = x2 + 4x + 7 (1 point)A) y = (x + 2)2+ 3B) y = (x + 2)2 - 3C) y = (x - 2)2 - 3D) y = (x - 2)2 + 312. Find the zeros of the function.f(x) = 3x3 - 12x2 - 15x (1 point)A) 0, 1, and -5B) -1 and 5C) 0, -1, and 5D) 1 and -513. Find a cubic function with the given zeros.7, -3, 2 (1 point)A) f(x) = x3 - 6x2 - 13x - 42B) f(x) = x3 - 6x2 + 13x + 42C) f(x) = x3 - 6x2 - 13x + 42D) f(x) = x3 + 6x2 - 13x + 4214. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3 (1 point)A) 188B) 946C) 1,704D) 2,51215. Use the Rational Zeros Theorem to write a list of all potential rational zeros.f(x) = x3 - 10x2 + 4x - 24 (1 point)A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24B) ±1, ±2, ±3, ±4, ±24C) ±1, ± alt='one divided by two', ±2, ±3, ±4, ±6, ±8, ±12, ±24D) ±1, ±2, ±3, ±4, ±6, ±12, ±24PLEASE NEED HELP HERE ASAP PRIORITY HELP WOULD BE APPRECIATED
General
4 months ago
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 112 miles due north of the warehouse. Coordinate grid shown from negative 84 to positive 84 on x axis at intervals of 14 and negative 84 to positive 84 on y axis at intervals of 14. A straight line is shown between points labeled Airport and Warehouse. Airport is the ordered pair negative 42, 56, and Warehouse is the ordered pair 42 and negative 56. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph. A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? 112 154 224 252
General
4 months ago
Tanica drew a line of best fit on a scatterplot, as shown below. The equation of the line is y=-1.02x+7.09 Using the line, she predicted that when the value of x is 0.5, the value of y will be approximately 7.6. What was her mistake? A.She drew the line of best fit incorrectly.B.She used the line of best fit to predict y for an incorrect value of x. C.She forgot the minus sign before the first term on the right side of the equation when she predicted y. D.She plugged 0.5 into the equation for y instead of x and actually predicted x instead of y.
General
4 months ago
A scale model of a giant robot is 24 centimeters high, with an arm length of 12 centimeters.The height of the real robot is 6 meters. What is the arm length of the real robot?Enter your answer, in simplest form, in the box.Sorry I'm asking so many questions this is hard =(
General
4 months ago
Find the similarity ratio and the ratio of the perimeters of two regular octagons with areas of 18 in2 and 50 in2.
General
4 months ago
Prism A is similar to Prism B. The volume of Prism A is 4320 cm3.What is the volume of Prism B?A.) 34,560 cm3B.) 2160 cm3C.) 1080 cm3D.) 540 cm3
General
4 months ago
What is the equation of the plane that contains the triangle shown in the diagram *answers in question*
General
4 months ago
Please help me!Which of the following options is a Pythagorean Identity? A. (sin(x) - cos(x))^2 = 1 + 2sin(x)cos(x)B. (sin(x) - cos (x))^2 = 1C. (sin(x) - cos (x))^2 = 1 - 2sin(x)cos(x)D. sin^2(x) - cos^2(x) = 1
General
4 months ago
Clara estimates that the length of a hiking trail is 5.75 kilometers. She later learns that its actual length is 6.25 kilometers.What is the percent error in Clara's estimate, to the nearest tenth of a percent?A. 7.7%B. 8.0%C. 11.0%D. 11.5%I think it is D. 11.5%, but I am not sure.
General
4 months ago
30 POINTS !!!!!!!!!!! When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each axis on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables? Could you graph an equation containing more than four variables? Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 1? What would happen to the graph if all the x-values were increased by 1? What would happen to the graph if all the y-values were multiplied by 2 or by 1/2? Explain
General
4 months ago
1. What is the most precise name for quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), and D(5,2)?a. parallelogramb. rhombusc. quadrilaterald. rectangle 2. What is the most precise term for quadrilateral ABCD with vertices A(3,1), B(4,5), C(7,5), and D(7,2)?a. kiteb. squarec. rhombus d. parallelogram 3. Find the sum of the measures of exterior angels, one at each vertex, of an octagon. a. 180 degreesb. 360 degreesc. 1080 degrees d. 1440 degrees
General
4 months ago
Which facts are true for the graph of the function below? Check all that apply. F(x) = log0.125 x
General
4 months ago
The perimeter of quadrilateral JKLM is 90 centimeters. Which is the length of side Kl?
General
4 months ago
Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink are contained in 6 full cans?How many cubic inches of drink are in 6 full cans?
General
4 months ago
1. If the sum of the interior angles of a polygon is 540 degrees, then how many sides does the polygon have?a. 5b. 6c. 7d. 8 2. What is the measure of one angle in a regular 16-gon?a. 2,520 degrees b. 202.5 degrees c. 157.5 degreesd. 78.75 degrees 3. The measure of each exterior angle of a regular pentagon is______ the measure of each exterior angle of a regular nonagon. a. greater than b. less than c. equal to
General
4 months ago
Was the United States justified in going to war against Mexico in 1846?Write a paragraph please!
General
4 months ago
What is the net price equivalent rate of 9/15/18? A. .36427 B. .63573 C. .36573 D. .63427
General
4 months ago
Organic foods in local stores are typically more expensive than conventional foods. The table below compares recent organic and conventional prices per pound for carrots and apples. Use the table to answer the questions. Do the organic prices vary directly with the conventional prices? If so, identify k. Does the total cost of organic apples vary directly with the number of pounds of organic apples purchased? If so, identify k.
General
4 months ago
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