Other Math Answers

Suppose the length of a spring varies with respect to a weight attached to it. If the length of a spring is 6 cm when a weight of 1 kg is attached and 9 cm when a weight of 3 kg is attached, then which of the following statements is true?

Mario has decided to make party baskets for the fund raiser. balloons are sold in bags of 10, and there are 8 candy bars in a package. How many of each should he buy so there are an equal number of balloons , horns , and candy bars in each basket?

USE DE MOIVRE'S THEOREM TO EVALUATE (SQUARE ROOT OF 3 MINUS 1)^5. EXPRESS YOUR ANSWER IN THE STANDARD FORM A+BI

SPHERICAL TRIGONOMETRY

1. solve for the three vertices of a spherical triangle ABC if the sides measures a=68degree48', b=53degree15' and c=46degree30'.
2. solve for these right spherical triangle with parts side c=69degree25' and angle B=63degree25' note that this is a right spherical triangle. (HINT: use the Napier's circle to determine what can be solved first by the given parameters.)
3. solve for the area of the spherical triangle in problem 1 and 2 if the sphere has a radius of 30m.
4. *show solution*

Leah Papa’s working hours for one whole week (from Monday – Saturday) is 

8, 9.5, 8.5, 10, 8, and 11 respectively. Represent the data of her overtime with the 

use of a table and a graph.

use Stokes theorem evaluate ∮A.dr, where A=y²i+x²j+z²k and C is boundary of the part of the plane x+y+z=1 like in the first octant

U=u(x1,x2)=(x1+2)^2(x2+3)3

find the marginal utility of each commodity

This refers to the characteristics of math language that it uses symbols to express more. A. Precise C. Complex

B. Concise D. Powerful

___2. Which of the following expressions is NOT equivalent to the group? A. 1+ 1+ 1+ 1+ 1 + 1 C. 39 + 45 – 78

B. { | n = 3} D. 23

___3. Translate the expression “twice of k less than four”

A. 2k – 4 C. 4 – 2k

B. 2k < 4 D. k2 - 4

___4. Which of the following is the mathematical sentence for a2+ b2= c2? A. the Pythagorean Theorem

B. The sum of squares of a and b is equal to the square of c

C. The squares of a, b, and c

D. Twice the sum of a and b is equal to twice of c

The standard deviation of heights for students in a school is 0.81. A random sample of 50 students is taken, and the standard deviation of heights of the sample is 0.96. A researcher in charge of the study believes the standard deviation of heights for the school is greater than 0.81.

a) State the null and alternative hypotheses.

b) State the degree of freedom.

c) What can you conclude at the 5% significance level?

3.  Jim works in a concession stand three nights a week for 22 weeks. He is allowed to have one free drink, the second drink at half price, and the third at full price. Jim averages three 50-cent drinks each time he works, but does not pay for any. How much money is he not paying per week?  (a) __________ For four weeks?  (b) __________ For 22 weeks?  (c) ________