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3 years ago

The range of y= 2/3 sin x for pi < x < 3pi/2 is ___?

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

Answer:

-2/3 < y < 0

Step-by-step explanation:

y = Asin(x)

Edit*

There's a node (y=0) at pi for sine wave. At 3/2pi will be the min. So range goes from -2/3 to 0

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Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly

Effectus [21]

Solution-

The price of the snow thrower = $1980

He must pay a 10% down-payment and the rest at a $116 monthly payment for 18 months.

A. How much is the down payment

Down payment amount is, 10% of $1980, i.e

$=1980\times \dfrac{10}{100}=\dfrac{1980}{10}=\$198$

B. What is the total amount of the monthly payments

A monthly payment of $116 for 18 months, i.e

$=116\times 18=\$2088$

C. How much did Jean pay for the snow thrower on the installment plan

It is the sum of down-payment and total monthly payments, i.e

$=198+2088=\$2286$

D. What is the total finance charge

It the difference between the original price and the amount paid by Jean, i.e

$=2286-1980=\$306$

E. If Jean models her payment plan as an arithmetic sequence, give the first term a1 and the common ratio d

As he paid the down-payment of $198 and then a constant monthly payment of $116, so

The first term = 198

common difference = 116

The A.P. series will be, 198, 314, 430, 546, 662,.................., 2286

4 0

3 years ago

0.10 x 37.7 explain please

kodGreya [7K]

Answer: The answer is 3.77.

Explanation: Since 0.10 is 10 times smaller than 1, we know that if we divide 37.7 by 10, we will get the same answer as 0.10 x 37.7.

5 0

2 years ago

Can someone please help me?

DaniilM [7]

Answer:

Equal to

Sam base_same haight

Req...=base.Haight

Parall...=base.Haight

5 0

2 years ago

Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5

topjm [15]

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

6 0

3 years ago

Which expressions are equivalent to the one below. Check all that apply. 16^x

madam [21]

$A.\ 4^x\cdot4^x=4^{x+x}=4^{2x}\qquad\text{used}\ a^n\cdot a^m=a^{n+m}\\\\B.\ 4^{2x}=(4^2)^x=16^x\qquad\text{used}\ (a^n)^m=a^{nm}\\\\C.\ 4^2\cdot4^x=4^{2+x}\\\\D.\ (4\cdot4)^x=16^x\\\\E.\ 4\cdot4^{2x}=4^{1+2x}\\\\F.\ 4\cdot4^x=4^{1+x}\\\\Answer:\ \boxed{B.\ and\ D.}$

3 0

3 years ago