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hichkok12 [17]
1 year ago
7

The temperature was -20.5°F at 5 A.M. and rose 5 degrees per hour for the next 5 hours. Melissa says the temperature at 10 A.M.

was -5.5°F. Which statement identifies Melissa’s error and the correct answer?
Mathematics
1 answer:
Natali5045456 [20]1 year ago
6 0
It would be 1.5 degrees in 5 hours
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A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at t
gayaneshka [121]

Answer:

the mathematical model is : -\frac{1}{A}= kt  - \frac{1}{50}

Step-by-step explanation:

Given that:

Let A(t) to be the amount of oil in the barrel at time t.

However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.

Then,

\frac{dA}{dt}  \ \alpha \ A^2

\frac{dA}{dt}= KA^2

Initially the 100 -gallon barrel is half-full of oil

So, A(0) = 100/2 = 50

\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50

The variable is now being separated as:

\frac{dA}{A^2}=kdl

Taking integral of both sides; we have:

\int\limits\frac{dA}{A^2}=\int\limits \ kdt

-\frac{1}{A}= kt +C

However; since A(0) = 50; Then

t = 0  ; A =50 in the above equation

-\frac{1}{50}= 0 +C

C = - \frac{1}{50}

Thus; the mathematical model is : -\frac{1}{A}= kt  - \frac{1}{50}

8 0
2 years ago
You earn 13.76/hr part-time and work 10hrs/wk. your deductions are FICA(7.65%), federal tax withholding (9.8%) and state tax wit
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$25.94      (To You)
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4 0
2 years ago
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Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a
Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

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Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

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Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

6 0
2 years ago
which of the diagram below represents the contrapositive of the statement if it is an equilateral triangle,then it is an isoscel
GalinKa [24]

Answer:Contrapositive of a Statement , if A then B, states that, if not B ,then not A.

In the statement given:

A= A triangle is Equilateral

B=then the triangle is Isosceles.

So,→→Contrapositive of the statement, If A, then B will be ,not B,then Not A

Not B= The triangle is not Isosceles

Then ,Not A= the triangle is not equilateral.

→→Figure A, matches with "Contrapositive of the statement “if it is an equilateral triangle, then it is an isosceles triangle”

=

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1 year ago
Two water tanks release water at the same time. • Water tank A holds 6,000 gallons of water and water is released from this tank
Ksenya-84 [330]

Answer:

Step-by-step explanation:

its A

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