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AlexFokin [52]
2 years ago
15

5c represents which part of

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
4 0

Answer:

it represents the term of the equation

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
After driving 152 ​km, 4/5 of a trip is completed. How long is the total​ trip? How many more kilometers must be driven to compl
nikitadnepr [17]

Answer:

1. Total Trip Distance = 190 kilometers

2. To complete the trip, 38 more kilometers left


Step-by-step explanation:

1.

Let total trip be x kilometers.

So we can say

<em>"152 is \frac{4}{5} of total" --- this into equation is:</em>

152=\frac{4}{5}x\\x=\frac{152}{\frac{4}{5}}\\x=190


Total trip is 190 km.


2.

Since already driven 152, to complete 190, you have to drive  190-152=38 kilometers more.

So, 38 more kilometers to complete the trip.

7 0
3 years ago
Read 2 more answers
Find the range of f(x)=3(4)^x
Lyrx [107]

Answer:

The range is (-3,∞)

Step-by-step explanation:

There is no specific range so it is infinite.

Hope I could help, if I was correct I hope you can consider marking me as brainliest! :D

5 0
2 years ago
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $5. On Saturday, Rob earned $84 babysitting.
Bond [772]

He saved 30 dollars through babysitting. My math is:

84 / 14 = 6

6 x 5 = 30

I hope this helps!

3 0
3 years ago
What is x/13-5=25/26
Juliette [100K]

\frac{x}{13} -5=\frac{25}{26}    Add 5 on both sides

\frac{x}{13}=\frac{25}{26}+5    Make the denominators the same

\frac{x}{13}=\frac{25}{26}+\frac{130}{26}

\frac{x}{13}=\frac{155}{26}    Multiply 13 on both sides

(13)\frac{x}{13}=(13)\frac{155}{26}

x=\frac{2015}{26}

x=\frac{155}{2}  

4 0
3 years ago
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