math 3.3

29問 • 2年前

問題一覧

The equivalent of 9.5 x 10 to the 9 miles in yards.

1.6720 x10^13

Find the shortest distance from the point (1, 2) to the point on the circumference of the circle x^2 + y^2 +10x + 6y = - 30

5.81

A and B are independent events. The probability that event A occurs is 0.2 and the probability that A and B occur is 0.04. What is the probability that event B will occur?

0.20

The sum of the ages of a married couple and their four children is 40 years over the century mark. Ten years ago, the sum of the ages of the couple, the eldest child and the second child is 5 decades and 5 years less than the sum of all (the 6 of them): The father's age is ten times the age of the youngest, while the mother's age is 8 times that of the youngest. The difference between the age of the second child and the sum of the ages of the third and the last child is zero, while the difference between the first child and sum of the ages of the second and the last child is also zero. Find the age of the mother.

Re (1 -i)^(1 + i)

2.808

Im (1 - i)^(1 + i)

- 1.318

Find the 12th term of the harmonic progression 1, 1/3, 1/5

1/23

The equation of a line that intersects the x-axis at x = 4 and the y-axis at y=- 6 is:

3х - 2y = 12

Numbers like 12345, 13542, 53412 and 21435 are some of the 120 different arrangements that can be made from the digits 1, 2,3,4 and 5. If all - 120 arrangements are placed in numerical order, what will be the 87" number?

43215

Find the area of one arc of the cycloid, x = a(θ - sinθ), y= a(1 - cosθ)

3а^2 π

Area of hypocycloid, x= acos^3(θ); y = a sin^3(θ)

3π а^2/8

Find the area enclosed by r = 2a sinθ.

a^2 π

Find the area inside the cardiod r = a(1 + cos θ) and the arc r = a.

a^2 (5π/4 - 2)

Find the area enclosed by a four-leaved rose r = acos2θ.

0.5а^2 π

The perimeter of the triangle ABC is equal to 8 m. sinA: sinB: sinC = 3: 4: 5. Find the shortest side

Find the 8th term of the sequence, 1, 7, 19, 37, 61;

169

Find the largest prime factor of 111,111

Find the largest prime factor of the number 369,369. (Note: The following are the prime factors of 369,369 = 3(3)(7)(11)(13)(41)

Find the sum of the all numbers from 200 to 1000.

480,600

Find the sum of the odd numbers from 200 to 1000.

240,000

Find the sum of the even numbers from 200 to 1000.

240,600

The bases of a trapezoid are 18 cm and 32 cm long. Determine the length of the line segment which is parallel to the bases and divides the given trapezoids into two similar trapezoids.

An algebraic expression consisting only of one term is known as

monomial

The expression sin^2(x) + cos^2(x) + tan^2(x) - cot^2(x) - sec^2(x) + cso^2(x) is equal to

Given a 10-question test with 5 choices, only one of which is correct. A student is unprepared for the test and answered out of pure luck. What is the standard deviation of his correct answer?

1.265

Find the remainder if we divide 4y^3 + 18y^2 + 8y - 4 by (2y + 3).

The sides of a triangular lot are 130m, 180m, 190m. This lot is to be divided by a line bisecting the longest side and drawn from the opposite vertex. Find the length of the line.

125m

An array of mn quantities which represents a single number and is composed of elements in rows and columns is known as

determinant

If log 2 = x and log 3 = y, find log648 in terms of x and y.

(4x + y)/(x + y)

Math

Ashley Calica · 10問 · 2年前

Math