1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MakcuM [25]
3 years ago
14

How would you write 3.5 x 10^5 in standard form ?

Mathematics
1 answer:
tangare [24]3 years ago
4 0
Your answer should be 350000
You might be interested in
Read the passage.
alexandr1967 [171]

Answer:

D sentence 5

Step-by-step explanation:

6 0
3 years ago
CALCULUS - Find the values of in the interval (0,2pi) where the tangent line to the graph of y = sinxcosx is
Rufina [12.5K]

Answer:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

Step-by-step explanation:

We want to find the values between the interval (0, 2π) where the tangent line to the graph of y=sin(x)cos(x) is horizontal.

Since the tangent line is horizontal, this means that our derivative at those points are 0.

So, first, let's find the derivative of our function.

y=\sin(x)\cos(x)

Take the derivative of both sides with respect to x:

\frac{d}{dx}[y]=\frac{d}{dx}[\sin(x)\cos(x)]

We need to use the product rule:

(uv)'=u'v+uv'

So, differentiate:

y'=\frac{d}{dx}[\sin(x)]\cos(x)+\sin(x)\frac{d}{dx}[\cos(x)]

Evaluate:

y'=(\cos(x))(\cos(x))+\sin(x)(-\sin(x))

Simplify:

y'=\cos^2(x)-\sin^2(x)

Since our tangent line is horizontal, the slope is 0. So, substitute 0 for y':

0=\cos^2(x)-\sin^2(x)

Now, let's solve for x. First, we can use the difference of two squares to obtain:

0=(\cos(x)-\sin(x))(\cos(x)+\sin(x))

Zero Product Property:

0=\cos(x)-\sin(x)\text{ or } 0=\cos(x)+\sin(x)

Solve for each case.

Case 1:

0=\cos(x)-\sin(x)

Add sin(x) to both sides:

\cos(x)=\sin(x)

To solve this, we can use the unit circle.

Recall at what points cosine equals sine.

This only happens twice: at π/4 (45°) and at 5π/4 (225°).

At both of these points, both cosine and sine equals √2/2 and -√2/2.

And between the intervals 0 and 2π, these are the only two times that happens.

Case II:

We have:

0=\cos(x)+\sin(x)

Subtract sine from both sides:

\cos(x)=-\sin(x)

Again, we can use the unit circle. Recall when cosine is the opposite of sine.

Like the previous one, this also happens at the 45°. However, this times, it happens at 3π/4 and 7π/4.

At 3π/4, cosine is -√2/2, and sine is √2/2. If we divide by a negative, we will see that cos(x)=-sin(x).

At 7π/4, cosine is √2/2, and sine is -√2/2, thus making our equation true.

Therefore, our solution set is:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

And we're done!

Edit: Small Mistake :)

5 0
2 years ago
Three parcels weigh 2 pounds. Two parcels weigh the same. The lightest weight is 5/8 pound lighter than the heaviest weight. How
tankabanditka [31]
Its D if you want to give it a shoot but im 75% sure is D hope you got it right. :)
4 0
2 years ago
Is 5 in the solution set x +3≥8
forsale [732]

Answer: Yes

Step-by-step explanation:

x>=8-3

x>=5

6 0
2 years ago
Factor 54+27 using the gcf What is the factored expression
vazorg [7]
With 9 being the GCF this is what i got <span>9*(6+3)</span>
3 0
3 years ago
Other questions:
  • GUYS PLEASE ANSWER! I'M DESPERATE! WILL MARK BRAINLIEST
    11·2 answers
  • A climber is on a hike.after 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is
    11·1 answer
  • A sweatshirt originally priced at 28.00 is on sale for 22.00 what is the percent of decrease rounded to the nearest whole number
    13·1 answer
  • 2, -4, 8, -16, . . . find the next two numbers in the pattern and describe the pattern.
    10·1 answer
  • If 35 student are in student council, and 60% are boys. How many girls are in student council?
    8·1 answer
  • Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
    13·2 answers
  • Find the midpoint of the segment with the following endpoints(-8,-6) and (2,-10)
    10·1 answer
  • Can someone help me with these questions I don’t know how to do them
    9·1 answer
  • Find the equation of the linear function represented by the table below in slope-
    5·2 answers
  • Math problem 8/3+(-9/4)​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!