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DENIUS [597]
3 years ago
14

Which choice is equivalent to the expression below? √-216

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0
The answer is b.6i/6
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car ​as the following utility​ function: ​U(X,Y)equals10Upper X squaredY where X is her consumption of​ Blu-ray disks with a pri
mr_godi [17]

Answer:

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

U(x,y)=10x^2y

Calculate marginal utility of good

Differentiate with respect of x and y.

MU_x=20xy

MU_y=10x^2

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10.

The ratio of marginal utility of good x to y is equal to the price ratio:

\frac{MU_x}{MU_y}=\frac{P_x}{P_y}

Substitute the respective values.

\frac{20xy}{10x^2}=\frac{40}{10}

\frac{2y}{x}=4

2y=4x

y=2x

She has ​$1800 with which to spend on the two goods.

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10. She has ​$1800 with which to spend on the two goods.

Therefore, 40x+10y=1800

4x+y=180

Substitute the value of y in above equation.

4x+2x=180

6x=180

x=30

Thus, y=60

She consumes 30 blue ray disk and 60 DVD respectively.

6 0
3 years ago
To covert 180 seconds to minutes, which proportion should you use?
myrzilka [38]
It would look like this: 60/1 min = x/180 sec
3 0
3 years ago
Read 2 more answers
Someone please help me asap. I’m confused and need help. Complete the table using the function n = 9b + 19
Mars2501 [29]

answer: you would just substitute all of the values you see for b into the equation where there's a b

5 0
3 years ago
Read 2 more answers
Melia put the $20 her Grandmother gave her for her tenth birthday into her piggy bank. Each week after that she added her $1.50
kondaur [170]
<h3>Answer: a) Equation y= 20+ 1.50n.</h3><h3>b) Melia have $644 to spend on her 18th birthday.</h3>

Step-by-step explanation: We are given that Melia put $20 initially in piggy bank.

Each week amount added in piggy bank = $1.50.

Let us assume total number of weeks be n Melia added amount in piggy bank and get y amount after n weeks.

a) Therefore, total amount after n weeks = Initial amount + 1.50 times n weeks.

y= 20+ 1.50n.

b) On 18th birthday, there would be total 8 years after 10th birthday.

And in 8 years there would be 52 × 8 = 416 weeks.

So, in order to find the total amount after 8 years or 416 weeks, we need to plug n= 416 in the equation we got in a part.

Therefore,

y = 20+ 1.50(416)

y = 20 + 624 = 644.

<h3>Therefore,  Melia have $644 to spend on her 18th birthday.</h3>

3 0
3 years ago
A box has dimensions of 4.0 cm by 8.5 cm by 2.0 cm. The volume of the box in mL is:
telo118 [61]
Answer: 68 mL

Step 1: Write volume formula

The formula for volume is often abbreviated into V=l×w×h. This stands for volume= length×width×height.

Step 2: Substitute numbers for answer in cm

To get the answer in cm, simply substitute the numbers into the equation. Then, you may simply multiple them to solve.
V=4.0 cm×8.5 cm×2.0 cm
V= 68 cm

Step 3: Add cubed symbol

Since this is referring to volume, you will need to add the cubed symbol to the end of your answer. This will appear as a number 3 above the cm on the right side.

Step 4: Convert to mL

This is a simple step once you understand the formula to convert. Luckily for us, cm cubed (cm3)= 1 mL. Because of this, the answer will remain as 68 mL


Hope this is right and it helps you!

7 0
3 years ago
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