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The distance from P to Q is four times the distance from Q to R. The distance from p to r is 120 metres. What is the distance from Q to R?
General
5 months ago
A motorboat takes 3 hours to travel 144 km going upstream. The trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? Rate of the boat still in water: Rate of the current:
General
5 months ago
You have four resistors, each of which has a resistance r. it is possible to connect these four together so that the equivalent resistance of the combination is also r. how many ways can you do it? there is more than one way.
General
5 months ago
A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how much greater is the circumference of the complex crater than the simple impact crater?
General
5 months ago
PLEASE HELP ME WITH THISTHANK U SOO MUCH:)
General
5 months ago
Solve 2x3 + x2 - 15x completely by factoring.
General
5 months ago
How do you know if two line segments are perpendicular? A. The slope of one is the negative of the slope of the other. B. Their slopes are reciprocals. C. Their slopes are negative reciprocals. D. Their slopes are equal.
General
5 months ago
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 20 in.
General
5 months ago
The polynomial x 3 + 5x 2 - 57x -189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions? ( Hint: The height is greater than the depth.)A. height: 19 in. depth: 7 in.B. height: 19 in. depth: 5 inC. height: 21 in. depth: 5 in.D. height: 21 in. depth: 7 in.
General
5 months ago
Charles begins finding the volume of a trapezoidal prism using the formula a = (b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2
General
5 months ago
A pentagon has angle measures of 102°, 100°, 115° and 110°. What must the fifth angle measure?
General
5 months ago
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park explain you reasoning.
General
5 months ago
Roselyn wants to drive her car at a speed of 60 miles per hour for 1.251, point, 25 hours. Her car has a fuel efficiency of 15 miles per gallon. How many gallons of fuel does Roselyn need for her journey? Choose 1 answer: Choose 1 answer: A 2.52, point, 5 gallons B 3.1.25, point, 125 gallons C 0.20, point, 2 gallons D 5 gallons
General
5 months ago
Charlotte's annual salary is 29,354 dollars. She is hoping to win the World Lottery which has a grand prize of 6,156,782,221 dollars. Approximately how many times as large is the World Lottery's grand prize as Charlotte's annual salary?
General
5 months ago
PLEASE HELP8.08, part 211. Find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9). A) y squared over 45 minus x squared over 36 = 1B) y squared over 81 minus x squared over 36 = 1C) y squared over 36 minus x squared over 81 = 1D) y squared over 36 minus x squared over 45 = 112. Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± 1 divided by 4. x.A) y squared over 16 minus x squared over 64 = 1B) y squared over 16 minus x squared over 256 = 1C) y squared over 256 minus x squared over 16 = 1D) y squared over 64 minus x squared over 4 = 113. Eliminate the parameter.x = t - 3, y = t2 + 5 A) y = x2 + 6x + 14B) y = x2 - 14C) y = x2 - 6x - 14D) y = x2 + 1414. Find the rectangular coordinates of the point with the polar coordinates. ordered pair 3 comma 2 pi divided by 3A) ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2B) ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2C) ordered pair negative 3 divided by 2 comma 3 divided by 2D) ordered pair 3 divided by 2 comma negative 3 divided by 215. Find all polar coordinates of point P where P = negative pi divided by 6 . A) (1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ)B) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ)C) (1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π)D) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π)16. Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°. A) (4 square root 2 , 135°), (-4 square root 2 , 315°)B) (4 square root 2 , 45°), (-4 square root 2 , 225°)C) (4 square root 2 , 315°), (-4 square root 2 , 135°)D) (4 square root 2 , 225°), (-4 square root 2 , 45°)17. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.a circular graph with an inner loop on the left[-5, 5] by [-5, 5] (5 points)A) r = 3 + 2 cos θB) r = 2 + 3 cos θC) r = 2 + 2 cos θD) r = 4 + cos θ18. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = -2 + 3 cos θ A) No symmetryB) y-axis onlyC) x-axis onlyD) Origin only19. A railroad tunnel is shaped like a semiellipse, as shown below.A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.The height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. Find an equation for the ellipse. 20. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = 2 cos 3θ
General
5 months ago
a cylindrical container can hold about 1,256 cubic inches of water.the diameter of the cylinder is 10 inches long.approximate the height of the cylinder to the nearest inch.use 3.14 to approximate the value for piA.16B.80C.40D.4
General
5 months ago
Form a seven-letter word by mixing up the letters in the word FIXTURE.How many ways can you do this if no vowel is isolated between two consonants?
General
5 months ago
What are the zeros of the quadratic function f(x) = 8x2 – 16x – 15? x = –1 – and x = –1 + x = –1 – and x = –1 + x = 1 – and x = 1 + x = 1 – and x = 1 +
General
5 months ago
If f(x)= 1/3x and g(x)=3x, then what are g * f (x) and g*f(1/2)1. 1/x, 22. 1/x, 1/2 3. x, 1/24. 1/9x, 1/18
General
5 months ago
The graphs below have the same shape. What is the equation of the blue
General
5 months ago
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