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
Yanka [14]
3 years ago
12

Which of the following statements is true of the number 651.44

Mathematics
2 answers:
sleet_krkn [62]3 years ago
6 0

Answer:

b

Step-by-step explanation:

MAXImum [283]3 years ago
4 0

Answer:

B

Step-by-step explanation:

You might be interested in
Consider functions of the form f(x)=a^x for various values of a. In particular, choose a sequence of values of a that converges
sleet_krkn [62]

Answer:

A. As "a"⇒e, the function f(x)=aˣ tends to be its derivative.

Step-by-step explanation:

A. To show the stretched relation between the fact that "a"⇒e and the derivatives of the function, let´s differentiate f(x) without a value for "a" (leaving it as a constant):

f(x)=a^{x}\\ f'(x)=a^xln(a)

The process will help us to understand what is happening, at first we rewrite the function:

f(x)=a^x\\ f(x)=e^{ln(a^x)}\\ f(x)=e^{xln(a)}\\

And then, we use the chain rule to differentiate:

f'(x)=e^{xln(a)}ln(a)\\ f'(x)=a^xln(a)

Notice the only difference between f(x) and its derivative is the new factor ln(a). But we know  that ln(e)=1, this tell us that as "a"⇒e, ln(a)⇒1 (because ln(x) is a continuous function in (0,∞) ) and as a consequence f'(x)⇒f(x).

In the graph that is attached it´s shown that the functions follows this inequality (the segmented lines are the derivatives):

if a<e<b, then aˣln(a) < aˣ < eˣ < bˣ < bˣln(b)  (and below we explain why this happen)

Considering that ln(a) is a growing function and ln(e)=1, we have:

if a<e<b, then ln(a)< 1 <ln(b)

if a<e, then aˣln(a)<aˣ

if e<b, then bˣ<bˣln(b)

And because eˣ is defined to be the same as its derivative, the cases above results in the following

if a<e<b, then aˣ < eˣ < bˣ (because this function is also a growing function as "a" and "b" gets closer to e)

if a<e, then aˣln(a)<aˣ<eˣ ( f'(x)<f(x) )

if e<b, then eˣ<bˣ<bˣln(b) ( f(x)<f'(x) )

but as "a"⇒e, the difference between f(x) and f'(x) begin to decrease until it gets zero (when a=e)

3 0
3 years ago
What is the volume of the cylinder? Round to the nearest 10th.
nata0808 [166]

Answer:169.7

Step-by-step explanation:

To find the volume of a cylinder you can use the math formula πr^2H where r is the radius and H is the height. If you plug in the values you get π3^2(6) simplify 3^2 to get (9π)(6), you can multiply 9 by 6 to get 54 then multiply that by 3.1415 to get 169.65 which rounds to 169.7

6 0
3 years ago
Helppppppppppppppppp
frosja888 [35]

Answer:

B

Step-by-step explanation:

B, because -9.2 = -4.5, which is less than -4.12. Also, 17/4 = 4.25 is less than sqrt(20), which is 4.4721

6 0
2 years ago
Read 2 more answers
Kevin counts 75 chicks in the hen house. He also sees more chicks outside the hen house. How can Kevin count to find how many ch
stellarik [79]

What we know:

we know that there are <u>75</u> chicks in the hen house, we also know that in all there are 108 chicks

What we need to find:

we need to find out how many chicks were outside

Answer equation:

108 - 75 = 33

8 0
3 years ago
When someone is 50 m away and there is someone is 3m away how far apart are they?
ohaa [14]
78 m long
Correct answe for sure im not lying
4 0
3 years ago
Read 2 more answers
Other questions:
  • 9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2
    13·1 answer
  • Expand 3(z+3) please help me solve this
    9·1 answer
  • In Exercises 10–14, use the diagram to determine whether you can assume the<br> statement.
    8·1 answer
  • Mr. Parvey spilled some cement paint on his patio. Since he was going to paint the patio in checker board pattern,it was marked
    12·1 answer
  • (7/3,4/3),(-1/3,2/3)
    10·1 answer
  • How many gallons of a 70% antifreeze solution must be mixed with 60 gallons of 25% antifreeze to get a mixture that is 60% antif
    8·1 answer
  • A millimetre is ______meter(s)
    5·2 answers
  • How can i put the number 103,727,495 in expanded form
    15·1 answer
  • What is the prime factorization of -14x^4
    7·1 answer
  • How would you describe the pattern?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!