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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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Harrizon [31]

Answer:

0.68L per dispenser

Step-by-step explanation:

Big bottle contain 213L of soap.

Big bottle will fill 312 dispensers.

This means 1 each dispenser can take 213/312 litres = 0.68L per dispenser.

3 0
2 years ago
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Ribbon is only sold by the spool. A spool contains 25 yards of ribbon. Shannon needs 58 yards of ribbon to wrap all the presents
ella [17]

Answer:

\boxed{\text{3 spools}}

Step-by-step explanation:

\text{1 spool =25 yd}\\\text{Spools needed } = \text{58 yd} \times \dfrac{\text{1 spool}}{\text{25 yd}} = \text{2.32 spools}\\\\\text{However, Shannon can't buy part of a spool. She must $\textbf{round up}$ to the next integer.}\\\text{Shannon must buy $\boxed{\textbf{3 spools}}$ of ribbon}

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2 years ago
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Jameson has $4,300 in credit card debt with 14% interest that he wants to pay off in 24 months. He will need to make monthly pay
neonofarm [45]

Answer:

The answer to this question can be defined as follows:

net paid interest = $ 655. 04

Total cost = $ 4955.04

Step-by-step explanation:

Given values:

loan amount = $ 4,300

monthly payment = $ 206.46

interest rate = 14 %

Time = 2 years

Solution:

yearly payment = one month amount × 12

1 year payment = $ 206.46 × 12

1 year payment =  $2477.52

because Time is 2 year then payment is = $2477.52 *2

2 year payment = $ 4955.04

net interest paid  = total payment - loan amount

                            = $ 4955.04 - $4300

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total  cost = $ 4955.04

net paid interest = $ 655.04

4 0
2 years ago
A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4
Tomtit [17]

This question is incomplete

Complete Question

A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?

A.1.7 x 10⁴ milliliters

B.3.58 x 10⁴ milliliters

C.3.74 x 10⁴ milliliters

D.3.9 x 10⁴ milliliters

Answer:

C. 3.74 x 10⁴ milliliters

Step-by-step explanation:

The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water

This equals to:

2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.

Hence:

2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water

= (2.8 × 10⁴) + (9.4 × 10³)

= 37400

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Therefore, option C is correct

4 0
2 years ago
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Svet_ta [14]

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

    The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

4 0
2 years ago
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