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Darina [25.2K]
3 years ago
5

$5 in a $10 general admission Night o f the Free with Sultos 10 show that Moderneature.com 1 3114111 ALLSTON NATIONAL THEATRE 9.

Solve for x: (Round answer to two decimal points.) 2(3x + 1) = 8 2(3x+1)^5 = 8
Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

0.1065

Step-by-step explanation:

Given :2(3x+1)^5=8

Solution :

2(3x+1)^5=8

(3x+1)^5=4

Taking natural log both sides

ln[(3x+1)^5]=ln 4

Property : ln (a^b)=bln(a)

5 ln(3x+1)=ln 4

ln(3x+1)=\frac{1}{5} ln 4

ln(3x+1)=\frac{1}{5} (1.3863)

ln(3x+1)=0.27726

e^{ln(3x+1)}=e^{0.27726}

Property : e^{ln x}=x

3x+1=1.3195

3x=0.3195

x=\frac{0.3195}{3}

x=0.1065

Hence the value of x is 0.1065

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Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. Kami pays $30 for 6 yards of landscaping fabri
vlabodo [156]

Answer: the price of 1 yard of chicken wire is $2

Step-by-step explanation:

Let x represent the cost of one yard of landscaping fabric.

Let y represent the cost of one yard of chicken wire.

Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. This means that

3x + 6y = 24 - - - - - - - - - - 1

Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. This means that

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Multiplying equation 1 by 6 and equation 2 by 3, it becomes

18x + 36y = 144

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3x = 24 - 12 = 12

x = 12/3 = 4

4 0
3 years ago
Read 2 more answers
Please help!posted picture of question
motikmotik
Answer:
5x⁴ + 5x³

Explanation:
We are given that:
f (x) = 5x³
g (x) = x + 1

Now, (f · g)(x) means that we will simply multiply the two functions as follows:
(f · g)(x) = f (x) · g (x)
(f · g)(x) = 5x³ (x + 1)
(f · g)(x) = 5x⁴ + 5x³

Hope this helps :)
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3 years ago
The definition of theorem? <br>​
charle [14.2K]

Answer:

In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.

Step-by-step explanation:

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3 years ago
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alexgriva [62]
<span>What is the quotient of 7035/15

469 is equivalent to 7035/15

because 7035/15=469</span>
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3 years ago
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alekssr [168]
#1 is wrong and #2 is correct
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