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3951.

What is the coefficient of the variable in the expression 6 - 4x - 8 + 2? 6,2, -4, -8

Answer» What is the coefficient of the variable in the expression 6 - 4x - 8 + 2?

Solution:

3952.

What is the measure of an angle in parallel lines?

Answer» The angle between parallel lines is either undefined or 0 or 180 degrees.

We will use the concept of angle to find the measure of an angle in parallel lines.

3953.

When the coordinates (1, 1), (2, 3), (5, 3), and (4, 1) are joined, which shape is formed?

Answer» When the coordinates (1, 1), (2, 3), (5, 3), and (4, 1) are joined, which shape is formed?

Solution:

3954.

13/4 as aMixed Number

Answer» 13/4 as a mixed number will be written as 3 ¼.

A mixed number is a fraction that contains a whole and a fraction. It is obtainedwhen the numerator and denominator of animproper fraction are divided and is written as Quotient (Remainder/Divisor).

3955.

The LCMof two numbers is 2516 and the square root of their HCFis 2, find the product of the two numbers

Answer» Theproduct of the two numbers, whose LCM is2516 and the square root of their HCFis 2 is 1064.

Lets us see how to solve it.

3956.

What do we call the number we are divided into?

Answer» The numbers in the division are called Dividend, Divisor, Quotient, and Remainder.

We will see the parts of a division problem.

3957.

Line AB contains points A (1, 2) and B (-2, 6). The slope of line AB is___. Zero, Undefined, Positive, Negative

Answer» Line AB contains points A (1, 2) and B (-2, 6). The slope of line AB is___.

Solution:

3958.

What is the sine of C if triangle ABC has b = 3, c = 7, and angle B = 15°?

Answer» What is the sine of C if triangle ABC has b = 3, c = 7, and angle B = 15°?

Solution:

3959.

What is the average rate of change of f(x) = -2x + 1 from x = -5 to x = 1 -10, -2, -5,10

Answer» What is the average rate of change of f(x) = -2x + 1 from x = -5 to x = 1?

Solution:

3960.

Solve the following equation: 28 ÷ 7 + 2 × 3 = ?

Answer» 10

We will use the concept of BODMAS to find the solution to the above expression

3961.

Name each polygon given below

Answer» The polygons are named based on its number of sides

A polygonis a closed two-dimensional figure, that comprises three or more straight lines.

3962.

11/6 as aMixed Number

Answer» 11/6 as a mixed number can be written as 1 ⅚.

A mixed number is a fractional number consisting of a whole and a fraction. Improper fractions can be written as mixed numbers. Mixed numbers are written as Quotient (Remainder/Divisor)

3963.

Suppose y = 2e-4x is the solution to the initial value problem y′ + ky = 0, y(0) = y₀. Find the value of y₀.

Answer» Suppose y = 2e-4xis the solution to the initial value problem y′ + ky = 0, y(0) = y₀. Find the value of y0.

Solution:

3964.

A number x is 4 less than three times another number y. If their sum is increased by 5, the result is 25. Find both the numbers.

Answer» The two numbers are 14 and 6.

Let's create equations in two variables and then solve them.

3965.

3z -2 3 9 -2 3

Answer» The values of u, x, y, z in the given matrix equation are 2, 5 / 3, 11 and 3 respectively.

Matrix calculations are different from regular calculations of scalar numbers hence,a set of matrix rules are followed to solve these questions.

3966.

3 9 y-3 = 3 9 8

Answer» The values of u, x, y, z in the given matrix equation are 2, 5 / 3, 11 and 3 respectively.

Matrix calculations are different from regular calculations of scalar numbers hence,a set of matrix rules are followed to solve these questions.

3967.

3x-3 2 3 2 u 3

Answer» The values of u, x, y, z in the given matrix equation are 2, 5 / 3, 11 and 3 respectively.

Matrix calculations are different from regular calculations of scalar numbers hence,a set of matrix rules are followed to solve these questions.

3968.

Solve for u, x, y, and z in the given matrix equation.

Answer» The values of u, x, y, z in the given matrix equation are 2, 5 / 3, 11 and 3 respectively.

Matrix calculations are different from regular calculations of scalar numbers hence,a set of matrix rules are followed to solve these questions.

3969.

Find the radian measure of the central angle of a circle of radius 80 kilometers that intercepts an arc length of 160 kilometers?

Answer» Find the radian measure of the central angle of a circle of radius 80 kilometers that intercepts an arc length of 160 kilometers?

Solution:

3970.

What do you mean by reflexive, transitive, and symmetric relation? Explain with some suitable examples.

Answer» What do you mean by reflexive, transitive, and symmetric relation? Explain with some suitable examples.

Solution:

3971.

What is the volume of the cube if its surface area is 2400 cm2?

Answer» What is the volume of the cube if its surface area is 2400 cm2?

Solution:

3972.

How to express 10to the power of 7?

Answer» 10to the power of 7can be expressed as 107= 10× 10× 10× 10× 10× 10× 10= 10000000.

Powers or exponents are defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times.

3973.

The series 2 + 4 + 8 + 16 + 32 + . . . is?

Answer» The 2 + 4 + 8 + 16 + 32 + . . .series is a geometric sequence or a geometric progression (G.P.’s).

A number series is a set of numbers that followsa particular pattern throughout the series.

3974.

ii) 540

Answer» The prime factorization of the numbers 100 and 540 in the exponential form is 100 = 22× 52and 500 = 22 × 33 × 5.

We will be using the concept of prime factors to solve this.

3975.

i) 100

Answer» The prime factorization of the numbers 100 and 540 in the exponential form is 100 = 22× 52and 500 = 22 × 33 × 5.

We will be using the concept of prime factors to solve this.

3976.

Express the prime factorizationof the numbers in exponential form

Answer» The prime factorization of the numbers 100 and 540 in the exponential form is 100 = 22× 52and 500 = 22 × 33 × 5.

We will be using the concept of prime factors to solve this.

3977.

How many degrees is equal to 1 radian?

Answer» 1 radian =57.295779513082320876degrees

Radian and degree are two units used to measure angles.

3978.

Use the equation and type the ordered-pairs. y = 2 x.

Answer» Using the equation y = 2x, some ordered pairs are as follows (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).

An ordered pair is in the form of ( x, y )that describes a particular location in a coordinate plane where, the first number represents x axisand second represents y axis.

3979.

What is the solution to the following system of equations? y = x2 + 10x + 11,y = x2 + x -7

Answer» What is the solution to the following system of equations?
y = x2+ 10x + 11,y = x² + x -7

Solution:

3980.

Using the proportional method, solve for x in this ratio: 2 : x :: 4 : 2

Answer» The solution of 2 : x :: 4 : 2by proportional method is x = 1.

The given question is based on ratios and proportions.

3981.

What is the HCF of 399and 437 by division method?

Answer» HCF of 399and 437is 19

The largest possible number which divides the given numbers exactly without leaving any remainder is called theHCF (Highest Common Factor).

3982.

To convert 5 to a fraction, what would the denominator be?

Answer» The denominator to convert 5 to a fraction is 1.

We will use the concept of fractions in order to convert 5 to a fraction.

3983.

What is a quadratic function with only the two real zeros given? x = -4 and x = -1 y = x4 + 5x3 + 5x2 + 5x + 4 y = x4 - 5x3 - 5x2 - 5x - 4 y = -x4 + 5x3 + 5x2 + 5x + 4 y = x4 + 5x3 + 5x2 + 5x - 5

Answer» What is a quadratic function with only the two real zeros given? x = -4 and x = -1

Solution:

3984.

Graph the line with slope m = 7 passing through the point (2, 9).

Answer» The equation of the line with slope m = 7 and point (2, 9) is y = 7x - 5.

Straight lines can be represented in the cartesian plane in the form of linear equations of a certain value of the slope. These are obtained by point-slope, two-point forms, and many other techniques depending on the given information.

3985.

How many tangents to the circle can be constructed through point P?

Answer» Depending upon the location of point P, 0, 1 or 2 tangents are possible from a single point to the circle.

There can be 3 possibilities to this problem, depending upon the location of the point.

3986.

Solve the given differential equation by undetermined coefficients. y'' - y' + 1/4 y = 4 + ex/2

Answer» Solve the given differential equation by undetermined coefficients. y'' - y' + 1/4 y = 4 + ex/2

Solution:

3987.

An acute angle θ is in a right triangle with sin θ = eight ninths. What is the value of cot θ?

Answer» An acute angle θ is in a right triangle with sin θ = eight ninths. What is the value of cot θ?

Solution:

3988.

Find all polar coordinates of point p where p = ordered pair 1 comma pi divided by 3.

Answer» Find all polar coordinates of point p where p = ordered pair 1 comma pi divided by 3.

Solution:

3989.

LCM of two numbers is 14 times their HCF, sum of LCM and HCF is 600. If one number is 280. What is the other number?

Answer» If the LCM of two numbers is 14 times their HCF, the sum of LCM and HCF is 600 and If one number is 280, then the other number is 80.

To find the other number, follow the steps mentioned below.

3990.

Convert 0.6into a fraction.

Answer» Fractional form of 0.6is 3/5

A fraction can be a portionor section of any quantity out of a whole.

3991.

Select one of the factors of 5x2 + 7x + 2. (5x - 2),(x + 2),(5x + 1),None of the above

Answer» Select one of the factors of 5x2 + 7x + 2.

Solution:

3992.

An acute angle θ is in a right triangle with sinθ = 6/7. What is the value of cotθ?

Answer» An acute angle θ is in a right triangle with sinθ = 6/7. What is the value of cotθ?

Solution:

3993.

If a polynomial function f(x) has roots 0, 4, and 3 + √11 , what must also be a root of f(x)?

Answer» If a polynomial function f(x) has roots 0, 4, and 3 +√11 , what must also be a root of f(x)?

Solution:

3994.

How Much is a Quart?

Answer» A quart is 1/4th a gallon.

Quart is used to measure volume.

3995.

4 Percent as a fraction in simplest form

Answer» 4%as a fraction in simplest form is 1/25

Percent means per hundred or for every hundred. We represent it as %.

3996.

How do you write 3½ as an improper fraction?

Answer» The improper fraction representation of 3½is 7/2.

Improper fractionis atype of fraction where the numerator is greater than or equal to the denominator.

3997.

Find a positive angle less than 2π that is coterminal with: 465°,27π/4

Answer» Find a positive angle less than 2π that is coterminal with:
465∘,27π/4

Solution:

3998.

Solve for x: 3x + 4y = 85 ; 6x + 7y = 20

Answer» Solving for x in 3x + 4y = 85 ; 6x + 7y = 20 we have x = -515/3

Linear equations in two variables are in the form of ax + by + c = 0 where a, b, c are real numbers and a, b ≠0.

3999.

How many Liters in a Quart?

Answer» There are 0.946353 liters in 1 US quart.

To measure volume or capacity we use units like quarts and liters.

4000.

A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?

Answer» A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?

Solution: