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ValentinkaMS [17]

2 years ago

10

A jar contains 5.4 liters of juice. The ratio of liters to milliliters is 1 : 1,000. How many milliliters of juice does the jar

contain?

1 answer:

Oliga [24]2 years ago

7 0

5,400 milliliters of juice

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The perimeter of an inceles triangle is 21 meters. The length of one

sdas [7]

Answer:

The sides are 6, 6 and 9

Step-by-step explanation:

Isosoles triangles have two sides the same length, s

Here the third side is 3 meters longer (s + 3)

therefor the perimeter is

s + s + (s + 3) = 21

Combine like terms

3s + 3 = 21

Subtract 3 from both sides

3s = 18

Divide both sides by 3

s = 6

s + 3 = 9

The sides are 6, 6 and 9

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1 year ago

Write in word form: (24-8) ÷ 2

Vadim26 [7]

Answer:

twenty-four and eight tenths divide by two

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2 years ago

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Given the exponential equation 3* = 243, what is the logarithmic form of the equation in base 10? (5 points)

Andrej [43]

Answer:

$x = \frac{log\ 243}{log\ 3}$

Step-by-step explanation:

Given

$3^x = 243$

Required

Express as a logarithm

$3^x = 243$

Take log of both sides

$log\ 3^x = log\ 243$

Apply the following law of logarithm

$log\ a^b = b\ log\ a$

So, the expression becomes:

$log\ 3^x = log\ 243$

$x\ log\ 3 = log\ 243$

Divide both sides by log 3

$\frac{x\ log\ 3}{log\ 3} = \frac{log\ 243}{log\ 3}$

$x = \frac{log\ 243}{log\ 3}$

Hence, the expression in base 10 is:

$x = \frac{log\ 243}{log\ 3}$ or $x = \frac{log_{10}\ 243}{log_{10}\ 3}$

3 0

2 years ago

(5 Marks) 2. Given below are the graphs of: y = -x +1 and y=* 1 -2 -3 2.1. State the rule that represents: (a) A: (b) B:

ZanzabumX [31]

Yes they work how they work to they work

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2 years ago

Break downs occur on a 20-years-old car with rate λ= 0.5 breakdowns/week. The owner of the car is planning to have a trip on his

KengaRu [80]

Answer: There is probability of 0.367 that there will be no breakdown on his car in the trip.

Step-by-step explanation:

Since we have given that

Mean (λ) = 0.5 breakdown per week

Number of weeks the owner of the car is planning to have a trip on his car for = 2 weeks

So, mean for 2 weeks would be

$0.5\times 2=1.0$

We need to find the probability that there will be no breakdown on his car in the trip.

Probability that there will be no breakdown on his car in the trip is given by

P(X=0) is given by

$\dfrac{e^{-\lambda}\lambda^k}{k!}\\\\=\dfrac{e^{-1}1^0}{0!}\\\\=0.367$

Hence, there is probability of 0.367 that there will be no breakdown on his car in the trip.

7 0

2 years ago