MATHEMATICS HIGH SCHOOL

Which function is odd? Check all that apply.A. y = sec x
B. y = sin x
C. y = cot x
D. y = csc x

Answers

Answer 1
Answer: To know if the function is odd or even, we have to substitute x with -x. If the function remains positive, that would mean the function is even. If the function is negative then the function is odd. 

A. y = sec(x) is also equal to  1/cos(x). Substitute x with -x 
1/cos(-x) =1/cos(x) = sec(x) = y  (EVEN)

B. y = sin(x) Substitute x with -x 
sin(-x) = -sin(x) = -y (ODD)

C. y= cot(x)  is also equivalent to cos(x)/sin(x) Substitute x with -x
cos(-x) / sin(-x) = cos(x)/ (-sin (x)) = - cot(x) = -y (ODD)

D. y = csc(x) is also equivalent to 1 / sin(x) Substitute x with -x 
1/ sin(-x) = 1/ (-sin (x))=-csc(x) =-y (ODD)  ----------> odd
Answer 2
Answer:

Answer: y= cos x

y=sec x


Step-by-step explanation:

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Jamal discovers that the sum of Point B and Point C is zero. A number line with points A, blank, B, blank, 0, blank, C, D, blank. Which sentence is a correct statement about points B and C?

Answers

Answer:

The answer is B.

Step-by-step explanation:

B is two spaces to the left of the 0, and C is two spaces to the right of the the zero meaning B is the opposite of C.

If I am correct please mark me:)

Answer:

b

Step-by-step explanation:

Sam is 5 years old. His older brother, Tom, is three times as old as Sam. When Sam is 20, how old will Tom be?

Answers

Sam is 5
Tom is 3 times older so 3*5=15
The difference between them is 15-5=10 years
When Sam is 20 we add the difference 20+10=30, and we have Tom's age :)

una pieza de tela mide 15 metros de largo por 1.5 metros de ancho ¿cuánto mide la superficie de tela?​

Answers

Answer:

Largo = 15 m. Ancho= 1.5 m

The concrete company charges ​$130 for delivering less than yd Superscript 3 of concrete. For yd Superscript 3 and​ more, the charge is ​$​/yd Superscript 3 with a fraction of a yard charged as a fraction of ​$.65 Use function notation to write the charge as a function of the number x of cubic yards​ delivered, where 0x​10, and graph this function. Question content area bottom Part 1 Choose the correct function below.

Answers

Answer:

Step-by-step explanation:

To write the charge as a function of the number of cubic yards delivered, we can define two separate cases:

Case 1: For deliveries less than yd³, the charge is a flat fee of $130.

Case 2: For deliveries of yd³ or more, the charge is $/³, where a fraction of a yard is charged as a fraction of $0.65.

Let's use function notation to write the charge as a function of the number of cubic yards delivered, where 0 ≤ ≤ 10.

The function can be written as:

\[

() =

\begin{cases}

130 & \text{if } < \\

0.65(-) + \frac{}{} & \text{if } ≥ \\

\end{cases}

\]

Here, () represents the charge for cubic yards delivered, and is the threshold value in cubic yards where the charge changes.

To graph this function, we can plot points on a coordinate plane by choosing different values for and . The resulting graph will have two parts: a flat line representing the flat fee of $130 for < , and a linear line representing the variable charge of $/ for ≥ . The point where these two lines meet will be the threshold value (, 130).

Find the three geometric means between 15 and 1215.

Answers

Hello,

g_m(15,1215)=√(5*1215)=9√15≈77,942286340....
====================================

1. A quarry shaped like a cone has a height of 42 ft and a diameter of 48 ft.What is the volume of the quarry?
Use 3.14 to approximate pi, and express your final answer in hundredths.
-----ft3
2.
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make a cylinder with a radius of 16 cm.
What was the height of the cylinder?
Use 3.14 to approximate pi, and express your final answer in tenths.
------cm
3.
A cone-shaped container sits inside a larger cone. The inner cone has a height of 3 in. and a diameter of 6 in. The outer cone has the same diameter and is 15 in. tall. The extra space in the outer cone is filled with crushed ice to keep the contents of the inner cone cool.
What is the volume of crushed ice?
Use 3.14 to approximate pi, and express your final answer in hundredths.
------in3
4.Jade scooped sand from a completely filled cylinder using a cone-shaped container. The cylinder had a diameter of 12 in. and a height of 5 in., and was one-fourth full after she scooped one full scoop of sand.
What were the dimensions of the cone-shaped container? Use 3.14 to approximate pi.
A. h = 5 in.; r = 9 in.

B. h = 9.6 in.; r = 15 in.

C. h = 11.25 in.; r = 12 in

D. h = 15 in.; r = 6 in.

5.A cone-shaped container is filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm3 per hour.
How many hours will it take to drain all of the liquid?
Use 3.14 to approximate pi.
--------h

Answers

the volume of the quarry = 25320.96 cubic ft
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