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BigorU [14]
3 years ago
12

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

e Example 9.
log6 10
Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

1.2850

Step-by-step explanation:

Using the change of base formula,

Log 10 to base 6 = Log 10 ÷ Log 6

Log 10 = 1

Log 6 = 0.7782

Log 10 ÷ Log 6 = 1 ÷ 0.7782 = 1.2850

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Juan has 18 fish that he needs to put into tanks. each tank can hold 3 fish. his father gave him 2 fish tanks, and his mother ga
Ksenya-84 [330]

Answer:

He needs 1 more fish tank.

Step-by-step explanation:

18 / 3 = X    (X equals the number of fish tanks he needs)

2 + 3 = 5 fish tanks

5 x 3 = 15 fish

18 -15 = 3

Since 5 fish tanks can hold 15 fish he will need 6 fish tanks to hold his 18 fish.  He will need 1 more fish tank.


5 0
3 years ago
Jim rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 76 cents for each mile dri
dalvyx [7]

Answer:

287 miles

Step-by-step explanation:

The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.

We can represent the amount he will pay for rent with the equation below:

C = 17.99 + 0.76m

where m = number of miles driven

Jim paid $236.11, therefore:

236.11 = 17.99 + 0.76m

0.76m = 236.11 - 17.99

0.76m =218.12

m = 218.12 / 0.76 = 287 miles

Jim drove 287 miles.

5 0
3 years ago
What is the value of the expression 2 superscript 5?<br> 10<br> 25<br> 32<br> 64
Varvara68 [4.7K]
32, that’s just 2 to the fifth power so 2*2*2*2*2
3 0
2 years ago
Read 2 more answers
Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch
astraxan [27]

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

7 cups of  apples = 4 Batches

        x cups of apples = 1 Batch

STEP 2  Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches  X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

8 0
3 years ago
Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or co
Zepler [3.9K]

Answer:

Permutation is used.

No. of arrangements = 1260

Step-by-step explanation:

Permutation is used for choosing & arrangement of  'r' out of 'n' objects, when sequence is important.

Total no. of alphabets in CORRECT = 7

C is repeated twice, R is repeated twice

So, Total No. of arrangements =   <u>7 !</u>

                                                   (2!)(2!)

= 5040 / 4

= 1260

5 0
3 years ago
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