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Arte-miy333 [17]
2 years ago
11

1. Nick framed a square painting that was 30 centimeters long on each side with a decorative strip. He wants to surround a

Mathematics
2 answers:
MaRussiya [10]2 years ago
8 0
The smallest possible radius is 6.2cm.
Vikki [24]2 years ago
6 0

Answer:

60

Step-by-step explanation:

30 + 30 = 60

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27. Jacob collects hats. He has 6 hats already and collects 2
Alex_Xolod [135]
It’ll take 13 weeks.
7 0
2 years ago
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
a 2-yard By 3-yard plot of land has an area of 6 square yards. what is the area in square feet. hint convert the original measur
ehidna [41]
1 yard = 3 feet 
2 yards = 6 feet 
3 yards = 9 feet 

area= L(W) 

6(9)= 54 square ft
The plot of land has an area of 54 square feet. 


8 0
3 years ago
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(05.01 LC)*PLEASE ANSWER 20 POINTS +BRANLIEST PLEASEEE!!!
Bess [88]
C) 1/25 for every 1 it goes up 25. therefore 1/25! hope I helped!!! brainliest would be much appreciated because I am trying to rank up!!!
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3 years ago
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Plzzzzzzzzzzz help someone!!
Morgarella [4.7K]

Answer:

B) Isolate the variable through inverse operations

Step-by-step explanation:

In order to get the value of y, we need to get y by itself. Since y is being multiplied by the coefficient 7, dividing both sides by 7 gets us y=10, so B is the right choice.

7 0
2 years ago
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