Can someone help me please

How are ROC (rate of change) and slope related AND different

Mrrafil [7]

Answer:

Rate of change and slope is the same since they are both terms of every rate, but rate of change can be said in any terms as in exponential and linear, etc. While slopes are only for linear equations.

Step-by-step explanation:

Hope this helps :)

8 0

3 years ago

Help!!!!!!!!!!!!!!!!

kaheart [24]

Answer:

$\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

Step-by-step explanation:

First, simplify each term:

$\sin\left(\dfrac{\pi}{2}+\alpha\right)=\cos \alpha\\ \\\cos \left(\dfrac{\pi}{2}+\alpha\right)=-\sin \alpha\\ \\\cos \left(\alpha-\dfrac{3\pi}{2}\right)=-\sin \alpha\\ \\\sin \left(\dfrac{3\pi}{2}+\alpha\right)=-\cos \alpha$

Then given expression is equivalent to

$\cos ^3\alpha+(-\sin \alpha)^3-(-\sin \alpha)+(-\cos \alpha)\\ \\=\cos ^3\alpha-\sin^3 \alpha+\sin \alpha-\cos \alpha\\ \\=(\cos\alpha-\sin\alpha)(\cos^2\alpha+\cos\alpha\sin\alpha+\sin^2\alpha)-(\cos\alpha-\sin\alpha)\\ \\=(\cos\alpha-\sin\alpha)(1+\cos\alpha\sin\alpha-1)\ \ [\cos^2\alpha+\sin^2\alpha=1]\\ \\=\cos\alpha\sin\alpha(\cos\alpha-\sin\alpha)$

6 0

3 years ago

In degree measure, the angles pi/3,pi/4 , and pi/2 are respectively: A. 60, 45, 90 B. 30, 45, 90 C. 45, 60, 90 D. 60, 30, 90 (al

aev [14]

<span>Solution :- The value of pi expressed in radians and its equivalent degree is = 180 degree Hence, the value of pi/3 = 180/ 3 = 60 deg similarly, the value of pi/3 = 180/4= 45 deg similarly, the value of pi/2= 180/2= 90 deg Ans :- The angles of pi/3, pi/4, pi/ 4 is = 60, 45, 90 degree respectively. Hence the right option is answer is A.</span>

8 0

3 years ago

Read 2 more answers

Michael has finished 25% of an art project that has taken him a total of 4 hours so far. If he continues to work at the same rat

guapka [62]

It will take him 16 hours because 25 is 1/4 of 100% so 4 times 4 is 16. So 16 is your answer :)

5 0

3 years ago

Read 2 more answers

Faleye Consulting is deciding which of two computer systems to purchase. It can purchase state-of-the-art equipment (System A) f

klemol [59]

If Faleye Consulting’s WACC is 10% and both “projects” can be repeated indefinitely, the system that should be chosen is <u>System A</u>, and its EAA is <u>$2,866.91</u>.

<h3>What is the EAA of a project?</h3>

The EAA of a project is the Equivalent Annual Annuity. The EAA can be determined using the following formula.

EAA = r x NPV1 - (1 + r)-n

Where the EAA = Equivalent Annual Annuity

r = interest rate per period

n = project duration

NPV = Net present value of project

We can also compute the EAA by using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

System A System B

After-tax cost $19,000 $13,000

After-tax cash flows $6,000 $6,000

Equipment duration 6 years 3 years

WACC = 10%

Annuity factor 4.355 2.487

Present value of cash flows $26,130 $14,922 ($6,000 x 2.487)

NPV $7,130 $1,922 ($14,922 - $13,000)

EAA (an online calculator) $2,866.91 $800.966

Thus, using the EAA rule, the computer system that should be chosen is System A because it has a higher EAA than System B.

Learn more about the equivalent annual annuity at brainly.com/question/20566589

4 0

3 years ago