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3 years ago

In Hawaii a volcano is about to explodel At 6:00 am a device placed inside the volcano

Mathematics

1 answer:

faust18 [17]3 years ago

4 0

Complete question :

In Hawaii a volcano is about to explodel At 6:00 am a device placed inside the volcano

measures the temperature at 69.5 degrees Celsius. Every 3 minutes the temperature

rises 1/5 a degree. If the Volcano explodes at 145.5 degrees Celsius how many hours do

they have to evacuate a nearby city?

Will Mark BRAINLIEST to the correct answer

Answer:

19 hours

Step-by-step explanation:

Given that:

Temperature of volcano at 6:00 am = 69.5°C

Average rise in temperature per 3 minute = 1/5

Hence, rise in temperature per minute = 0.0666666°C

Temperature at which volcano will explode = 145.5°C

Hence, change in temperature :

(145.5°C - 69.5°C) = 76°C

Hence, temperature will have to rise by 76°C

Rise in temperature / rate of temperature increase

= 76°C / 0.0666666°C

= 1140.0011 minutes

= 1140.0011 / 60

= 19.0000019 hours

= 19 hours

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What is the inverse of the function below? f(x) = 2^x + 6

Helen [10]

The inverse of this function would be f(x) = $\frac{Log(x - 6)}{Log2}$ .

You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.

f(x) = $2^{x}$ - 6 ----> Switch f(x) and x

x = $2^{f(x)}$ - 6 ----> Add 6 to both sides

x + 6 = $2^{f(x)}$ -----> Take the logarithm of both sides in order to get the f(x) out of the exponent

Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2

$\frac{Log(x + 6)}{Log2}$ = f(x) ----> And switch the order for formatting purposes.

f(x) = $\frac{Log(x + 6)}{Log2}$

And that would be your new inverse function.

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3 years ago

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4 years ago

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Marrisa added 1.56 and 13.47. She got 29.07. What mistake could Marrisa have made?

fomenos

She hadn't lined up the decimal points correctly.

Incorrect way:

13.47
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Correct way:

13.47
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3 years ago

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Will someone help me with 4 I don't understand it

Maurinko [17]

They are not equivalent expression because 3^2 is 9 since 3*3 is 9 but 3*2 is 6, so the expressions are not equivalent.

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4 years ago

PLEASE HURRY WILL MARK AS BRAINLIESTV

Alenkasestr [34]

Answer:

There are two inequalities that represent the total number of

balloons, b, they can purchase and not spend over their budgeted amount:

0.65b ≤ 70

0.65b + 225 ≤ 295

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Budget to plan the event = $ 295

Expenses on supplies so far = $ 225

Cost of each balloon = $ 0.65

2. Which of the following inequalities represents the total number of

balloons, b, they can purchase and not spend over their budgeted amount?

1. Let's find how much of the budget is still available:

Budget available = Budget to plan the event - Expenses on supplies so far

Budget available = 295 - 225

Budget available = $ 70

2. Let's find the inequality that represents the total number of

balloons, b, they can purchase and not spend over their budgeted amount.

Number of balloons ≤ Budget available/Cost of each balloon

Replacing with the values we know, we have:

b ≤ 70/0.65

0.65b ≤ 70

or we can write it also including the total budget this way:

Number of balloons ≤ Budget to plan the event - Expenses on supplies so far /Cost of each balloon

Replacing with the values we know, we have:

b ≤ (295 - 225)/0.65

0.65b ≤ 295 - 225

0.65b + 225 ≤ 295

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3 years ago