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3 years ago

What happens to the value of f(x)=log4x as x approaches 0 from the right

Mathematics

2 answers:

marissa [1.9K]3 years ago

7 0

Answer:

f(x) approaches negative infinity

Step-by-step explanation:

SpyIntel [72]3 years ago

3 0

The value of any log function approaches negative infinity as the argument approaches zero from above.

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Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up

Nostrana [21]

Answer:

(a) Equation: $T_n = 11.25 - 1.25n$

(b) 7.5 gallons

Step-by-step explanation:

Given

Current Gas = 10 gallon

Every Hour = -1.25 gallon

Solving for (a): An equation for the scenario

This question represents an Arithmetic Progression and will be solved using the following formula:

$T_n = a + (n - 1)d$

Where

$a = 10$

$d = -1.25$

Substitute these values in the formula

$T_n = 10 + (n - 1) * -1.25$

$T_n = 10 -1.25n +1.25$

Collect Like Terms

$T_n = 10 + 1.25 - 1.25n$

$T_n = 11.25 - 1.25n$

Solving for (b): In this case, n - 3

Substitute 3 for n in $T_n = 11.25 - 1.25n$

$T_3 = 11.25 - 1.25 * 3$

$T_3 = 11.25 - 3.75$

$T_3 = 7.5$

<em>7.5 gallon of gas left</em>

6 0

3 years ago

A master student is planning to take a qualifying exam in the coming summer. She has three chances. The first one is in June. If

Soloha48 [4]

Answer:

Step-by-step explanation:

Given

$P_1=$ Probability of clearing exam in 1 st attempt=0.5

$P_2=$ Probability of clearing exam in 2 nd attempt=0.7

$P_3=$ Probability of clearing exam in 3 rd attempt=0.8

Probability that she passes the exam $=P(1 st\ attempt)+P(1\ fail)\cdot P(2\ pass)+P(1\ fail)\cdot P(2\ fail)\cdot P(3 rd pass)$

$P=0.5+0.5\times 0.7+0.5\times 0.3\times 0.8=0.97$

(b)P(Pass qualification on 2nd try|passes qualification)

P(Pass qualification on 2nd try|passes qualification) $=\frac{P(fail\ on\ 1 )\cdot P(pass\ in\ 2nd)}{P(passes)}$

P(Pass qualification on 2nd try|passes qualification) $=\frac{0.5\times 0.7}{0.97}=0.3608$

5 0

3 years ago

Captain Sparrow and his pirate crew dug up several gold coins. They are dividing the coins amongst themselves so that each perso

Dahasolnce [82]

Answer: 150 coins

Step-by-step explanation: let the number of captain Sparrow and the crew = c

The number of gold = g

This mean each person will get g/c

If there were four fewer pirates, then each person would get 10 more coins means

g/(c - 4) = g/ c+ 10

cg = (c-4)(g+10c) ....... (1)

However, if there were 50 fewer coins, then each person would get 5 fewer coins.

(g - 50)/c = g/c - 5

g - 50 = g - 5c

5c = 50

c = 10

Substitute c in equation 1

cg = (c-4)(g+10c) ....... (1)

10g = (10 - 4)(g + 10×10)

10g = 6× (g + 100)

10g = 6g + 600

4g = 600

g = 150 gold coin.

Therefore they dig up 150 gold coin

5 0

3 years ago

Jonah has a large collection of marbles he notices that if he borrows five marbles from a from a friend he can arrange the marbl

olga nikolaevna [1]

Answer:

The remainder is 8

Step-by-step explanation:

Let Jonah's Marble=x

If he arranges x marbles into y rows of 13 each, and there are remainders(R)

Then:

x/13=y+(R/13).....(I)

If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1

New Total Marbles=x+5

(x+5)/13=y+1.....(ii)

x+5=13(y+1)

x=13y+13-5

x=13y+8

From (I)

x=13y+R

Comparing the values of x derived from (I) and (ii)

13y+R=13y+8

Therefore the Remainder, R= 8

5 0

3 years ago

Help please..........

dem82 [27]

Answer:

Step-by-step explanation:

x is greater then -2

3 0

3 years ago