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2501.

The sum of the first 30 terms of the sequence an = 6n + 5 is

Answer» The sum of the first 30 terms of the sequence an = 6n + 5 is

Solution:

2502.

Find an ordered pair (x y) that is a solution to the equation x-2y=2

Answer» Find an ordered pair (x y) that is a solution to the equation x-2y=2

Solution:

2503.

In parallelogram RSTU, SW = 4cm, WT = 6cm, RS = 5cm, and ST = 7cm?What is the length of line segment WU?

Answer» In parallelogram RSTU, SW = 4cm, WT = 6cm, RS = 5cm, and ST = 7cm?What is the length of line segment WU?

2504.

Find the slope and y-intercept of the line: ax - by = 0

Answer» Find the slope and y-intercept of the line: ax - by = 0

Solution:

2505.

If f(x) = 5x + 40, what is f(x) when x = -5?

Answer» If f(x) = 5x + 40, what is f(x) when x = -5?

Solution:

2506.

Simplify using the vertical method. (3k + 5)(2k2 - 5k - 3)

Answer» Simplify using the vertical method. (3k + 5)(2k2 - 5k - 3)

Solution:

2507.

What is the measure of a right angle and a straight angle?

Answer» The measure of a Right Angle and Straight Angle is 90 degrees and 180 degreesrespectively.

A right angle is an angle with a value equal to 90 degrees and astraight angle is an angle whose vertex point has a value of 180 degrees.

2508.

In the △PQR, PQ = 39in, PR = 17in, and the altitude PN = 15in. Find QR?

Answer» In the△PQR, PQ = 39in, PR = 17in, and the altitude PN = 15in. Find QR?

Solution:

2509.

Line segment ON is perpendicular to line segment ML, and PN = 10. What is the area of triangle MOL? 200 square units,250 square units,300 square units,500 square units

Answer» Line segment ON is perpendicular to line segment ML, and PN = 10. What is the area of triangle MOL?

 Area of triangle MOL

2510.

If f(x) = 2x2+1, what is f(x) when x = 3?

Answer» If f(x) = 2x2+ 1, what is f(x) when x = 3?

Solution:

2511.

How many cubic units is a box that is 3units high, 3units wide, and 2units deep?

Answer» How many cubic units is a box that is 3units high, 3units wide, and 2units deep?

Solution:

2512.

a) 45 degrees b) 90 degrees c) 135 degrees d) 180 degrees

Answer» (a) 45 degrees- Acute angle ; (b) 90 degrees - Right Angle (c) 135 degrees - Obtuse Angle (d) 180 degrees- Straight Angle

An angle is formed when two lines meet at a point.

2513.

Question: Classify Each One of the Following Angles as Right, Straight, Acute, Obtuse or Reflex

Answer» (a) 45 degrees- Acute angle ; (b) 90 degrees - Right Angle (c) 135 degrees - Obtuse Angle (d) 180 degrees- Straight Angle

An angle is formed when two lines meet at a point.

2514.

What is 2 to the power of 3 over 2 equal to?

Answer» What is 2 to the power of 3 over 2 equal to?

Solution:

2515.

The circumference of a circle is 5π cm. What is the area of the circle?

Answer» The circumference of a circle is 5π cm. What is the area of the circle?

Solution:

2516.

Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Answer» Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Solution:

2517.

Find the area of a rectangle with length of 6 inches and width of 2 feet.

Answer» Find the area of a rectangle with length of 6 inches and width of 2 feet.

Solution:

2518.

The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle?

Answer» The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle?

Solution:

2519.

Which equation can pair with x - y = -2 to create a consistent and dependent system? 6x + 2y = 15 -3x + 3y = 6 -8x - 3y = 2 4x - 4y = 6

Answer» Which equation can pair with x - y = -2 to create a consistent and dependent system?

Solution:

2520.

If x is Equal to 41 and y is Equal to 3, Then What is The Value of x - 9y?

Answer» If x is equal to 41 and y is equal to 3, then the value of x - 9y is 14.

To find the value of expression we need to put the values of the variable in the expression.

2521.

How Many Minutes Have Elapsed Between 1:30 PM and 4:45 PM?

Answer» 195 minuteshave elapsed between 1:30 PM and 4:45 PM

Let us count the elapsed time between 1:30 pm and 4:45 pm

2522.

If the length of one side of a square is 12.0m, what is the perimeter of the square?

Answer» If the length of one side of a square is 12.0m, what is the perimeter of the square?

Solution:

2523.

If two coins are tossed in the air, what is the probability that both coins will land on "heads"?

Answer» If two coins are tossed in the air, what is the probability that both coins will land on "heads"?

Solution:

2524.

The circumference of a circle is 3π in. What is the area of the circle?

Answer» The circumference of a circle is 3π in. What is the area of the circle?

Solution:

2525.

Find the volume of the sphere whose radius is 48cm, in terms of pi?

Answer» Thevolume of the sphere whose radius is 48cm is 147456π cubic cm.

Volumes are one of the most important topics in mathematics. They have many practical life applications which include applications in the field of engineering and medicines. Various shapes have various formulae of volumes.

2526.

Find the volume of the solid that lies under the plane 3x + 2y + z = 12, 3x + 2y + z = 12 and above the rectangle R = {(x, y) |0 ≤ x ≤1, - 3 ≤ y ≤ 4}

Answer» Find the volume of the solid that lies under the plane 3x + 2y + z = 12, 3x + 2y + z = 12 and above the rectangle R = {(x, y) |0 ≤ x ≤1, - 3 ≤ y ≤ 4}

Solution:

2527.

Find the standard form of the equation of the parabola with the given characteristics? Vertex: (-2, 1) Directrix: x = 1

Answer» Find the standard form of the equation of the parabola with the given characteristics? Vertex: (-2, 1) Directrix: x = 1

Solution:

2528.

What is the slope of the line represented by the equation y = -1/2x + 1/4

Answer» What is the slope of the line represented by the equation y = -1/2x + 1/4

Solution:

2529.

The sum of two numbers is 30. Their difference is 6. What are the numbers?

Answer» The sum of two numbers is 30. Their difference is 6. What are the numbers?

Solution:

2530.

Find an equation for the nth term of the arithmetic sequence. -1, 2, 5, 8, …

Answer» Find an equation for the nth term of the arithmetic sequence. -1, 2, 5, 8, …

Solution:

2531.

Read the numbers and decide what the next number should be. 11, 22, 13, 26, 15, 30, 17,?

Answer» Read the numbers and decide what the next number should be. 11, 22, 13, 26, 15, 30, 17,?

Solution:

2532.

Find the surface area of a prism with a square base that is 5cm by 5cm and is 10cm tall.

Answer» Find the surface area of a prism with a square base that is 5cm by 5cm and is 10cm tall.

Solution:

2533.

LineAB contains points A (1, 2) and B (-2, 6). the slope of line AB is?

Answer» LineAB contains points A (1, 2) and B (-2, 6). the slope of line AB is?

Solution:

2534.

In a baseball game, a batter hits the 0.150-kg ball straight back at the pitcher at 180 km/h . If the ball is traveling at 160 km/h just before it reaches the bat, what is the magnitude of the average force exerted by the bat on it if the collision lasts 5.0 ms?

Answer» In a baseball game, a batter hits the 0.150-kg ball straight back at the pitcher at 180 km/h . If the ball is traveling at 160 km/h just before it reaches the bat, what is the magnitude of the average force exerted by the bat on it if the collision lasts 5.0 ms?

Solution:

2535.

If event a and event b cannot occur at the same time then a and b are said to be?

Answer» If event a and event b cannot occur at the same time then a and b are said to be?

Solution:

2536.

Austin earns $18,000 per year. His earnings put him in the 15% tax rate. What is his tax owed?

Answer» Austin earns $18,000 per year. His earnings put him in the 15% tax rate. What is his tax owed?

Solution:

2537.

What is the angle θab between a⃗ and b⃗ ? Express your answer using one significant figure.

Answer» What is the angle θab between a⃗ and b⃗ ? Express your answer using one significant figure.

2538.

Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?

Answer» Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?

Solution:

2539.

Draw the graph of the function y = f(x) = 4/x between x = 1/2 and x = 4.

Answer» Draw the graph of the function y = f(x) = 4/x between x = 1/2 and x = 4.

Solution:

2540.

Which of the following is an equivalent form of the compound inequality. -44 > -2x - 8 ≥ -8? -2x - 8 > -44 and -2x - 8 ≥ -8. -2x > -44 and -8 ≥ -8. -2x - 8 < -44 and -2x - 8 ≤ -8. -2x - 8 < -44 and -2x - 8 ≥ -8.

Answer» Which of the following is an equivalent form of the compound inequality. -44 > -2x - 8 ≥ -8?

Solution:

2541.

Find the seventh term of the following sequence? 1.5, 3, 6, …

Answer» Find the seventh term of the following sequence? 1.5, 3, 6, …

Solution:

2542.

A circle is centered at (3, 8) and is tangent to the x-axis. Write its equation in standard form.

Answer» A circle is centered at (3, 8) and is tangent to the x-axis. Write its equation in standard form.

Solution:

2543.

Solve the triangle. a = 10, b = 23, C = 95°

Answer» Solve the triangle. a = 10, b = 23, C = 95°

Solution:

2544.

Find three positive numbers whose sum is 12 and the sum of whose squares is as small as possible.

Answer» Find three positive numbers whose sum is 12 and the sum of whose squares is as small as possible.

Solution:

2545.

What value of x is in the solution set of 2x -3 > 11 -5x? -3, 0, 2, 4

Answer» What value of x is in the solution set of 2x -3 > 11 -5x?

Solution:

2546.

Find a polynomial of degree n that has only the given zero(s).

Answer» The standard polynomial will be(x - a\(_1\)) (x - a\(_2\)) (x - a\(_3\)).......(x - a\(_n\)) with a\(_1\),...a\(_n\) as their zeroes.

We will use the concept of factors of the polynomial to find the polynomial.

2547.

For an angle θ with the point (16, -30) on its terminating side, what is the value of cosine?

Answer» For an angle θ with the point (16, -30) on its terminating side, what is the value of cosine?

Solution:

2548.

Solve the triangle. B = 36°, a = 42, c = 18

Answer» Solve the triangle. B = 36°, a = 42, c = 18

Solution:

2549.

The product of two consecutive positive integers is 1 more than their sum. Find the integers.

Answer» The product of two consecutive positive integers is 1 more than their sum. Find the integers.

Solution:

2550.

Find the distance between the points (3, 8) and (-1, 9).

Answer» The distance between the points, (3, 9) and (-1, 9) is √(17).

The distance can be easily calculated with the help of the distance formula.