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Sonja [21]
4 years ago
13

shift y=5 (square root x)+ 3 horizontally 2 units to the right and stretch by a factor of 3.( stretch vertically about the fixed

y= 3 line)
Mathematics
1 answer:
cricket20 [7]4 years ago
6 0
Its two units to the right and stretch by a factor of three

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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y
Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y

2. Solve for y in the second equation and substitute it into the first one.Then, you have:

y=\frac{64}{x^{2}}  \\ SA=x^{2} +4x(\frac{64}{x^{2}})

3. Now, derivate:

SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0

4. When you solve for x, you obtain:

2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}}  \\ x=5.03

5. Now, you must calculate y:

y=\frac{64}{(5.03)^{2}} \\ y=2.52

Therefore, the dimensions are:

The sides of the base of the tank: 5.03 feet

The height of the tank: 2.52 feet

8 0
3 years ago
Barb signed up for an art club. She had to pay $50 to sign up for the club and
aleksandrvk [35]
5 weeks she went to the club.
8 0
3 years ago
One day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in
astra-53 [7]

Answer:

258 fruits.

Step-by-step explanation:

We have been given that one day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in the afternoon.

So the fruits sold in the afternoon will be 5/6 of 258.

\text{The number of fruits sold in afternoon}=\frac{5}{6}\times 258

\text{The number of fruits sold in afternoon}=5\times 43

\text{The number of fruits sold in afternoon}=215.

Further, we are told that the number of fruits sold in the next afternoon increased by 20% compared to the number of fruits sold in the afternoon the previous day.

So the number of fruits sold in the next afternoon will be:

\text{The number of fruits sold in next afternoon}=215+(\frac{20}{100}\times 215)

\text{The number of fruits sold in next afternoon}=215+(0.20\times 215)

\text{The number of fruits sold in next afternoon}=215+43

\text{The number of fruits sold in next afternoon}=258

Therefore, 258 fruits were sold in the afternoon the next day.

4 0
3 years ago
How can i take picture my home work for ask you?
Yakvenalex [24]

Answer:

Most people tend to screen shot

Step-by-step explanation:

8 0
4 years ago
Complete the table for the given rule. Rule: y= 3x
Ratling [72]

Answer:

x=5

y=30

x=15

Step-by-step explanation:

y=3x=15, then x=15/3, x=5

x=10, then y=3x=3*10=30

y=3x=45, then x=45/3, x=15

6 0
3 years ago
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