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igomit [66]
3 years ago
11

Aidan has $65 in his bank account. His brother Michael also has a bank account. They want to calculate the amount of money in bo

th accounts combined. What variable is needed to calculate their combined total?
Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

m, the amount of money in Michael's bank account

t, the total between the two bank accounts

the equation could be 65+m= t

hope this helps :)

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If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharma
Savatey [412]

Answer:

a) The slope of the graph of c is 8.34.

b) The dosage for a newborn is 8.34mg.

Step-by-step explanation:

A first order function in the following format

c(a) = ba + d

Has slope b.

The appropriate dosage c is a function of the age a.

In this problem, we have that:

c(a) = 0.0417D(a + 1)

Suppose the dosage for an adult is 200 mg. This means that D = 200

So

c(a) = 0.0417*200(a + 1)

c(a) = 8.34a + 8.34

(a) Find the slope of the graph of c.

The slope of the graph of c is 8.34.

(b) What is the dosage for a newborn? (Round your answer to two decimal places.)

A newborn has age a = 0. So this is c(0).

c(a) = 8.34a + 8.34

c(0) = 8.34*0 + 8.34 = 8.34

The dosage for a newborn is 8.34mg.

8 0
3 years ago
If the sine ratio is given, then how can sin 0/2 be determined?
pogonyaev

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

\sin( \frac{ \alpha }{2} )  =  \sqrt{ \frac{1   -  \cos(a) }{2} }

Example.

\sin( \alpha )  =  \frac{ \sqrt{3} }{2}

We must find

\sin( \frac{ \alpha }{2} )

First, use the Pythagorean identity

\sin {}^{2} ( \alpha )  +  \cos {}^{2} ( \alpha )  = 1

( \frac{ \sqrt{3} }{2} ) {}^{2}  +  \cos {}^{2} (a)  = 1

\frac{3}{4}  +  \cos {}^{2} (a)  = 1

\cos {}^{2} (a)  =   \frac{1}{4}

\cos( \alpha )  =  \frac{1}{2}

Now use the half angle identiy

\sin( \frac{ \alpha }{2} )  =  \sqrt{ \frac{1 -  \cos( \alpha ) }{2} }

=  \frac{ \sqrt{1 -  \frac{1}{2} } }{ \sqrt{2} }

=  \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }

=  \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }  \times  \frac{ \sqrt{2} }{ \sqrt{2} }  =  \frac{ \sqrt{1} }{ \sqrt{4} }  =  \frac{1}{2}

So the answer for our example is 1/2

8 0
2 years ago
What is the factor in this equation? 3+(4r + y)
zlopas [31]
The factors are 3 and (4r+y)

Hope this helps :)
8 0
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On her way to visit her parents,Jennifer drives 265 miles in 5 hours.What is her average rate of speed in miles per hour ?
aleksandrvk [35]

Answer: The average rate of speed in miles per hour that Jennifer was going is 53 miles per hour. 265/5=53



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Answer: B

The rotation will go back to the place where the trapezoid started
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