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2 years ago

Solve for y 2y= -3x + 4

Mathematics

1 answer:

Margaret [11]2 years ago

5 0

Answer:

y = -1/3x + 2

Step-by-step explanation:

Divide everything by 2

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Given: a||b, and c||d, m∠4=45° Find: the measures of angles 1, 2, and 3

Sophie [7]

Answer:

<2=45 degrees

Step-by-step explanation:

7 0

3 years ago

3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l

sergeinik [125]

Answer: 3. The correct option is: A) 3.57 decibels.

6. The correct option is: B) $ln(\frac{x^2}{c^5})$ 

Step-by-step explanation:

3. Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So, $I_{0}= 100$ and $I= 44$

Using the formula $L= 10log(\frac{I}{I_{0}})$ , we will get.....

$L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57$

(Rounded to the nearest hundredth)

So, the loudness would be reduced by 3.57 decibels.

6. Given expression is: $2ln(x) - 5ln(c)$

First applying the property $m*log(x)= log(x^m)$ , we will get.....

$ln(x^2)-ln(c^5)$

Now using the formula, $log(a)-log(b)= log(\frac{a}{b})$ , we will get....

$ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})$

Thus, the answer as a single natural logarithm is $ln(\frac{x^2}{c^5})$

8 0

3 years ago

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles 14 red marbles

Zinaida [17]

The probability of drawing both without replacing either is :

14/41 * 12/40 = 7/41 * 3/5 = 21/205

The probability of drawing both WITH replacement is:

14/41 * 12/41 = 168/ 1681

7 0

3 years ago

Which graph is an example of a function? A) B) C) D)

Mama L [17]

The only example I saw was example B

3 0

3 years ago

Read 2 more answers

The cost, £C, of hiring a lorry to travel n miles is given by

zysi [14]

Part A:
C= a + bn

Make the two equations out of the words:
82 = a + b100 * 2.5 = 205 = a + b250
157 = a+ b250

Subtract the two,
205 = a + b250
- ( 157 = a + b250)
48 = a

Find b by substituting in a:
82 = a + b100
82 = 48 + b100
34 = b100
b = 0.34
Answer for part a: a = 48 , b = 0.34

Part B:
C = a +bn <- when n = 300 , put in a and b, then solve
C = 48 + 0.34(300)
C = 48 + 102
C = 150

Cost when hiring a lorry to travel 300 miles is 150 pounds

7 0

3 years ago

Read 2 more answers