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3 years ago

Given that √3^n = 3^x/27^y. Express n in terms of x and y.

Mathematics

1 answer:

Radda [10]3 years ago

7 0

Answer:

Step-by-step explanation:

HEllo,

$(\sqrt{3})^n=3^{\frac{n}{2}}=\dfrac{3^x}{27^y}=3^x\times(3^3)^{-y}=3^{x-3y}\\\\\dfrac{n}{2}=x-3y\\\\\boxed{\sf \bf n= 2x-6y}$

Hope this helps

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The line plot below shows the number of juice boxes Leon drank on specific days. Which three dates did Leon drink ten juice boxe

swat32

<h3>Answer: Choice C</h3>

Explanation:

Each X on that chart represents 2 juice boxes.

On the following days

October 6
October 16
October 24

is when Leon drank 10 juice boxes (stack of 5*2 = 10 total)

3 0

2 years ago

you put $6,000 in an account the account of $1050 simple interest in 5 years was the annual interest rate

gizmo_the_mogwai [7]

Ending Balance with Simple Interest Formula

This can be determined by multiplying the $1000 original balance times [1+(10%)(3)], or times 1.30. Instead of using this alternative formula, the amount earned could be simply added to the original balance to find the ending balance.Answer:

Step-by-step explanation:

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3 years ago

Write your own explicit formula. List the first 4 terms and solve for the 10th term using the formula. (show your work)

Shalnov [3]

Answer:

See below.

Step-by-step explanation:

Formula:

$a_n = 3(n + 4)$

First term: n = 1

$a_1 = 3(1 + 4) = 15$

Second term: n = 2

$a_2 = 3(2 + 4) = 18$

Third term: n = 3

$a_3 = 3(3 + 4) = 21$

Fourth term: n = 4

$a_4 = 3(4 + 4) = 24$

Tenth term: n = 10

$a_{10} = 3(10 + 4) = 42$

4 0

3 years ago

Using the solubility curve, choose all of the statements that are correct.

irinina [24]

Answer:

See explanation below

Step-by-step explanation:

According to the solubility curve attached, let's analyze each sentence to see which one is correct:

"Solubility of NaCl is least affected by temperature"

True. as you can see in the curve, solubility of NaCl remains almost constant at any value of temperature, so in this case, it does not matter the temperature, the NaCl solubility will be the same.

"completely dissolve 60 g of KBr in 100 g of water at 20 °C"

True. As you can see in the graph, solubility of KBr begins at 60 g, so in 20 °C we have something dissolved there. Actually you have like 70 g dissolved there, so, this is true.

"The solubility of KNO3 is the least affected by changes in temperature"

False. The curve for KNO3 is exponencial, so, changes in temperature do actually affect the solubility.

"100 g of KBr will dissolve completely in 100 g of water at 75 °C"

False. According to the curve, 100 g dissolve when we reach more than 100 °C. At 75 °C only about 85 g of KBr is dissolved.

"if you mix 120 g of NaClO3 in 100 g of water at 10 °C, approximately 30 g will not dissolve"

True. In the graph we can clearly see that at 10 °C only about 90 g is being dissolved so, the rest of the mass is still there as mass.

6 0

3 years ago

If dB=4 and dc=6 find ad

Neporo4naja [7]

See the attached figure
DB = 4 and DC = 6 , We need to find AD

Using Euclid's theorem for the right triangle

∴ DB² = AD * DC

∴ 4² = AD * 6

∴ 6 AD = 16


∴ AD = 16/6 = 8/3 ≈ 2.67

7 0

3 years ago

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