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The temperature was -12 degrees in the morning and rose to a high of 27 degrees for the day. What was the increase in temperature for the day? 12 degrees 15 degrees 27 degrees 39 degrees

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

27 - -12 is 39, friend.

Answer 2

Answer:

Answer:

Step-by-step explanation:

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A linear function and a quadratic function both have a domain of all real numbers.True
False
?

Answers

Answer: True

Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.

true....
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You and a friend both leave the same restaurant to drive home. You are heading directly west at 30 miles per hour and he or she is heading directly south at 40 miles per hour. After half an hour, how fast (in mph) is the distance between you changing? Do not include units in your answer.

Answers

Answer:

Step-by-step explanation:

The distance between the friends is changing at the constant rate of 50 mph.

___

The equation for the distance in the westerly direction is ...

w = 30t . . . . . miles, where t is time in hours

The equation for the distance in the southerly direction is ...

s = 40t . . . . . miles, where t is time in hours

Then the total distance between the friends is ...

d = √((30t)² + (40t)²) = √(2500t²) = 50t . . . . miles, where t is time in hours

And the rate of change of distance is the derivative of this with respect to t:

dd/dt = 50 . . . . . . miles per hour

What is the probability that a randomly drawn hand of four cards contains all black cards or all face cards? The probability is 6 Round to four decimal places as needed.)

Answers

Answer: 0.05699

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of black cards = 26

Then , $\text{P(Black)}=(C(26,4))/(C(52,4))=0.00182842367\approx0.00183$

The total number of face cards = 12

Then , $\text{P(Face)}=(C(12,4))/(C(52,4))\approx0.05522$

The number of cards that are black and face cards = 6

Then , $\text{P(Black and Face )}=(C(6,4))/(C(52,4))\approx0.00006$

Then , the probability that a randomly drawn hand of four cards contains all black cards or all face cards is given by :-

$\text{P(Black or Face)}=\text{P(Black)+P(Face)-P(Black and Face)}\n\n\Rightarrow\ \text{P(Black or Face)}=0.00183+0.05522-0.00006\n\n\Rightarrow\ \text{P(Black or Face)}=0.05699$

50 POINTSTyrone rolls a standard number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 155 sixes. Find the experimental probability of rolling a six, based on Tyrone’s experiment. Round the answer to the nearest thousandth.

Answers

Answer:

Step-by-step explanation:

Unless I'm reading this incorrectly, he throws 155 6's.

There are 1000 throws altogether (according to the table)

So the experimental probability is 155/1000 = 0.155

The answer is B. It is a bit tricky to read.

Which is equivalent to the following expression (3m^2+2mn-n^2)+(m^2+4mn-n^2)

Answers

Based on the available information, the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

How the equivalent expression is determined?

To simplify the expression (3m² + 2mn - n²) + (m² + 4mn - n²), we can combine like terms.

Like terms have the same variables and the same exponents.

Let's group the like terms together:

(3m² + m²) + (2mn + 4mn) + (-n²- n²)

Combining like terms within each group, we get:

4m² + 6mn - 2n²

Therefore, in this case, it is concluded that the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

Learn more about Equivalent Expression here: brainly.com/question/2972832

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Answer:

4m² + 6mn - 2n²

Step-by-step explanation:

$(3m^2+2mn-n^2)+(m^2+4mn-n^2)\n\n=3m^2+2mn-n^2+m^2+4mn-n^2\qquad\text{combine like terms}\n\n=(3m^2+m^2)+(2mn+4mn)+(-n^2-n^2)\n\n=\boxed{4m^2+6mn-2n^2}$

how much 45% acid solution should be mixed with a 30% acid solution to make 450 ml of a 40% acid solution?

Answers

We do as follows:

let x = amount of 45% solution
y = amount of 30% solution

overall balance => x + y = 450
acid balance => .45x + .30y = .40(450)

Solving simultaneously, we will have:

x = 300 mL
y = 150 mL

This is assuming that partial molar properties does not affect the volume greatly. Hope this answers the question. Have a nice day.

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