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3 years ago

I need an explanation please

Mathematics

1 answer:

nevsk [136]3 years ago

3 0

<h3>Answer: 2n - 2</h3>

===================================================

Explanation:

The $n^2$ terms cancel out because

$n^2 + (-n^2) = n^2 - n^2 = 0n^2 = 0$

The n terms combine to

5n + (-3n) = 5n - 3n = 2n

Lastly, the constants combine to

-6 + 4 = -2

Overall we have 2n - 2 as the simplified result.

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A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati

IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

brainly.com/question/26315885

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4 0

2 years ago

What is the mass of a 7.91cm3 piece of lead having a density of 11.34g/cm

Viktor [21]

Answer:

89.6994g

Step-by-step explanation:

M = DV

= 11.34g/cm^3 * 7.91cm^3

= 89.6994g

Hope this helps!

8 0

3 years ago

There are 10 true-false questions and 20 multiple choice questions from which to choose a five-question quiz how many ways can t

beks73 [17]

Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

To Find:

How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways $=(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})$

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

3 0

3 years ago

What is cos K<br> a) 25/7<br> b) 25/24<br> c) 7/25<br> d) 24/25

AVprozaik [17]

Answer: d)

Step-by-step explanation:

7 is the opposite

25 is the hypotenuse

24 is the adjacent

if u refer back to SOH CAH TOA

cos = adj divided by the hyp

cos K = 24/25

*please make sure to double check for yourself or get another person to look it over just incase*

8 0

3 years ago

Help help help pls pls

olganol [36]

Answer:

see explanation

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 3 ) → (- 3, 3 )

(3, 4 ) → (- 4, 3 )

(5, 3 ) → (- 3, 5 )

4 0

3 years ago

I need an explanation please​

I need an explanation please