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geniusboy [140]
2 years ago
15

Log(3y+2)-1=log(y-4) solve y​

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
8 0

\log_{10} (3y+2) - 1 =  \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6

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What is the volume of the prism that can be constructed from this net?<br><br><br> units3
kirza4 [7]
3×9=27
27×7=189 units³

I hope this helped!!!:)
4 0
3 years ago
Read 2 more answers
Find the shaded area of each figure, round your answer to one decimal place if necessary
Annette [7]
<h2>area of shaded portion = 49.5 yd²</h2><h2>____________________</h2>

<u>Step-by-step explanation:</u>

radius of circle = 5 yd ------ ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

height of triangle = 16 yd --- ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

base of triangle = 16 yd ----- ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

area of triangle = 1/2 × base × height

= 1/2 × 16 × 16

= 128 yd²

area of circle = π × radius²

= 3.14 × 5 × 5 --- ( π = 3.14 )

= 78.5 yd²

<h2>---------------------------------------</h2>

area of shaded portion = area of triangle - area of circle

area of shaded portion= 128 yd²-78.5 yd²

area of shaded portion = 49.5 yd²

<h2>--------------------------------------</h2><h2>PLEASE FOLLOW ME</h2>
8 0
2 years ago
A 6-sided die with sides numbered 1 through 6 is tossed. A penny is then tossed. If the penny comes up heads, the value of the d
Montano1993 [528]

Answer:

The probability that the outcome is less than 6 is 58.333%.

Step-by-step explanation:

Since a 6-sided die with sides numbered 1 through 6 is tossed, ya penny is then tossed, and if the penny comes up heads, the value of the die is multiplied by 2, but otherwise, the value of the die is left unchanged, to determine what is the probability that the outcome is less than 6 the following calculation must be performed:

(5/6 + 2/6) / 2 = X

(0.8333 + 0.0333) / 2 = X

1.1666666 / 2 = X

0.583333 = X

Therefore, the probability that the outcome is less than 6 is 58.333%.

5 0
2 years ago
Question 9 (1 point)
Likurg_2 [28]

Answer:

A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.

Step-by-step explanation:

Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.

So, from the given conditions we can write two different equations as

5x + 8y = 34.5 ............ (1) and

2x + 16y = 33 ............... (2)

Now, solving the equations (1) and (2) we get

2x + 2(34.5 - 5x) = 33

⇒ 8x = 36

⇒ x = $4.5

Again, from the equation (2) we can write

2(4.5) + 16y = 33

⇒ 16y = 24

⇒ y = $1.5

Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)

6 0
3 years ago
Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra
kodGreya [7K]

Answer:

C.

Step-by-step explanation:

Jack's rate = 28/2 = 14 boxes/hour

Walter's rate = 36/3 = 12 boxes/hour

Combined rate = 14 + 12

= 26 boxes/hour

26 = 65/t

26t = 65

3 0
3 years ago
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