Just need help with this simple math question


Answer 1
Answer: 2(n-4) = 2n - 8 .........distributive property
Answer 2
Answer: the answer is 2n - 8
you are distributing 2 into n and 4 so 2 times n is 2n and 2 times 4 is 8

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7+16y=;1/4 solution or no solution?



the answer is, Y= -27/64

Which expression is the additive inverse of 25?


Answer:it’s actually very simple it’s A.

Step-by-step explanation: anything that is below one is negative that’s how I got my answer.

Answer:the answer is A

Step-by-step explanation:i did the test

A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken. The correct set of hypotheses is:________. a. H0: μ ≠ 80 Ha: μ = 80b. H0: μ 80 Ha: μ > 80c. H0: μ < 80 Ha: μ > 80d. H0: μ 80 Ha: μ < 80


The correct set of hypotheses for the sample in July is H0: μ ≠ 80 Ha: μ = 80.

What is the null and alternative hypothesis?

The null hypothesis H0 which is also known as the default hypothesis states that there is no relationship between the population parameters.  The alternative hypothesis (H1 ) states that there is a relationship between the population parameters.

To learn more about the null hypothesis, please check: brainly.com/question/4454077


u <= 80

u > 80

Step-by-step explanation:

The happiest would be

Null hypothesis: u <= 80

Alternative hypothesis: u > 80

Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4ta. plane
b. hyperbolic paraboloid
c circular paraboloid
d.circular cylinder
e. elliptic cylinder


Following are the calculation to the given equation:

Given vector equation:  

\to r(s, t)= (s \sin 4t,s^2, s \cos 4t)

The corresponding parametric equations for the given surface is given by,  

x=s \sin 4t\n\n y =s^2\n\n z=s \cos 4t

For any point (x,y,z) we have that,  

x^2+z^2 = (s \sin 4t)^2 +(s \cos 4t)^2

            = s^2 \sin^2 4t +s^2 \cos^2  4t  \n\n= s^2 (\sin^2 4t+cos^2 4t) \n\n= s^2 (1) \n\n=s^2\n\n=y \n

So, after eliminating the parameters, we get, x^2 +z^2 = y

Therefore, the answer is "Option c".

Learn more:


Final answer:

The surface represented by the given vector equation r(s, t) = s sin 4t, s2, s cos 4t is a circular cylinder. This can be inferred from the structure of the equation and the characteristics of the represented shapes.


The surface represented by the given vector equation,

r(s, t) = s sin 4t, s2, s cos 4t

, is a type of cylindrical surface due to the structure of the equation. This can be identified by the s terms being tied to sin/cos functions and an independent s^2 term. This shows that the s variable is acting as a 'driver' of the shape, while t coordinates the rotation. Owing to the periodic sin and cos functions in the vector equation, the surface does not lie in a single plane, ruling out the option of a plane. It also does not exhibit features of a paraboloid or hyperbolic paraboloid. Hence, it's shown that the vector equation represents a

circular cylinder


Learn more about Vector Equations here:



What is the length of material in yards delivered by a roll with a speed of 290 rpm and a diameter of 46 mm? (Note: assume the roll turns for 90 seconds.)



The length of material is 68.7 yards.

Step-by-step explanation:

If the material is delivered in a roll, we can calculate how many material is delivered by turn (one rotation). In one turn it delivers (π*D) of material, its perimeter.

If the diameter is 46 mm, in one turn the material delivered is

m=(\pi*D)=3.14*46mm=144.44 mm/rev

As we know the rotational speed, we can calculate the amount of material delivered by unit of time:

m=144.44 (mm)/(rev)*290(rev)/(min)=  41,887.6(mm)/(min)

If the roll turns for 90 seconds (or 1.5 min) we can calculate


As we need the result in yards, we can convert (1 yard=914.4 mm)

m=62,831.4mm*(1yard)/(914.4mm) =68.7 \,yards

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 25%, and the final exam is worth 29%. Compute the weighted average for the following scores: 60 on the lab, 81 on the first major test, 69 on the second major test, and 79 on the final exam. Enter your answer as a whole number.



Weighted\ Average =  73

Step-by-step explanation:


Lab = 21\%

Tests = 25\%

Exam = 29\%

Lab\ Score = 60

First\ Test = 81

Second\ Test = 69

Exam = 79


The weighted average

To do this, we simply multiply each score by the corresponding worth.


Weighted\ Average =  Lab\ worth * Lab\ score + Tests\ worth * Tests\ score.....

So, we have:

Weighted\ Average =  21\% * 60 + 25\% * 81 + 25\% * 69 + 29\% * 79

Using a calculator, we have:

Weighted\ Average =  73.01

Weighted\ Average =  73 --- approximated

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