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4vir4ik [10]
2 years ago
15

Evaluate log4 0.25 ?

Mathematics
1 answer:
Vsevolod [243]2 years ago
8 0

Answer:

-1

Step-by-step explanation:

Recall that 0.25 = 1/4, and that 1/4 = 1/[4^(-1)  Notice that 4 is the base of this log system.

Then log4 0.25 = log4(1/4) = log4(4^(-1) ) = -1 (answer)

Check:  Does 4^(-1) = 0.25?  Yes

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Jill charges an hourly rate for babysitting one or two children. Kara charges a lower hourly
rodikova [14]

<u>Options</u>

Which statement is true:

a) Jill will make less money if they each work 4 hours.

b) Jill's hourly rate is $3 more than kara's.

c) Kara charges $14 and hour for babysitting two children.

d) Kara's fee for the second child is $5.

Answer:

(D)Kara's fee for the second child is $5.

Step-by-step explanation:

\left|\begin{array}{c|c|c}$Time(hr)&$Jill: Cost for Two Children& $Kara: Cost for Two Children\\-----&------&-----\\1&11&14=9+5\\2&22&23=9(2)+5\\3&33&32=9(3)+5\end{array}\right|

From the table above,

Jill Charges an hourly rate of $11

Kara charges an hourly rate of $9 and an additional $5 charge for more than one child. Therefore, the statement that is true is Option D.

Kara's fee for the second child is $5.

All other options are incorrect.

<u>Check</u>

Option A: In four hours, Jill will make $44 while Kara will make $41

Option B: Jill's hourly rate is $2 more than Kara's, NOT $3.

Option C: Kara charges $9 an hour, NOT $14.

7 0
2 years ago
In a certain kingdom, the demand function for rye bread was q = 381 − 3p and the supply function was q = 5 + 7p, where p is the
beks73 [17]

Answer:

  8 zlotys

Step-by-step explanation:

At Z32 per loaf, the demand will be ...

  q = 381 -3(32) = 285 . . . . loaves

In order to produce 285 loaves, bakers must enjoy a price of ...

  285 = 5 +7p

  280/7 = p = 40 . . . . . zlotys per loaf

Since the loaves are sold for Z32, and bakers are expecting to be paid Z40, the subsidy they receive must be ...

  Z40 -Z32 = Z8

The subsidy per loaf would have to be 8 zlotys.

8 0
2 years ago
Simplify to create an equivalent expression. 8−4(−x+5)
larisa [96]
First you distribute...
8 + 4x - 20
Then you simplify...
4x - 12
Done
4 0
2 years ago
Read 2 more answers
four friends contributed the sum of money to a charitable organization in the ratio 1:3:5:7. if the largest amount contrebuted i
suter [353]

9514 1404 393

Answer:

  birr 80

Step-by-step explanation:

The total number of ratio units is 1+3+5+7 = 16. The largest amount is represented by 7 ratio units, so is 7/16 of the total. The total contributed is ...

  16/7 × (birr 35) = birr 80

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Two vehicles, each moving from a point in a straight line away from each other at an angle, are 150 feet apart after 6 second. B
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