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EleoNora [17]
2 years ago
9

The record low temp in Fargo, ND is -37*F. The record high is 109*F. What is the difference in the record high and the record lo

w temperatures?
Mathematics
1 answer:
yuradex [85]2 years ago
6 0

Answer:

109 - -37 = 146

Step-by-step explanation:

since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.

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Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol
nordsb [41]

The ODE has an equilibrium point at

\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba

We want y=2 to be an unstable equilibrium solution - in other words, we want all solutions with initial condition y(t_0)=c for c near 2 to diverge from y=2 - so -dfrac ba=2.

Divergence from y=2 would require that for y>2, any solution is increasing, and for y, and solution is decreasing. In order for that to happen, we need

\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba

if y>2, and

\dfrac{\mathrm dy}{\mathrm dt}=ay+b

if y.

Now we just pick a,b to satisfy these conditions. An easy choice is a=1, which forces b=-2, so that one possible ODE would be

\dfrac{\mathrm dy}{\mathrm dt}=y-2

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0
3 years ago
What is 0.875 written as a number name?
Ainat [17]

Answer:

How to write out number 0.875: eight hundred seventy-five thousandths

Step-by-step explanation:

6 0
4 years ago
41 is 163 added to y
fomenos

Answer:

y + 163 = 41

Step-by-step explanation:

I think you are correct. It should be y + 163 = 41

3 0
3 years ago
Which item is NOT printed on the bottom of a check?
FromTheMoon [43]

Answer: d. Date

Step-by-step explanation:

Some of the information printed on the bottom of a check include the check number which is typically a security measure that is used in the identification of payment so as to prevent fraud.

The routing number also informs the bank where the funds for the check can be found.

The account number informs the person that collects the check about the account that the money is coming from.

We should note that the date is at the top of the check and one has to fill it himself or herself before giving the check to the recipient.

6 0
3 years ago
Find the primary solution of cosθ=−0.3<br><br> ⁡
Agata [3.3K]

The solution of cos θ = −0.3 is θ = 107.45760312 degrees

<em><u>Solution:</u></em>

Given that we have to find the primary solution of cos \theta = -0.3

To solve this equation, you must find the unknown (theta)

cos \theta = -0.3

Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta

\theta = arccos (-0.3)

We know that arccos (-0.3) = 107.45760312 degrees

[ If you reference a unit circle or use a calculator ]

\theta = 107.45760312^{\circ}

Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees

4 0
3 years ago
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