1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
3 years ago
15

Simplest radical form​

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

Step-by-step explanation:

A(7,1), B(5,-6)

(AB)² = (-6-1)² + (5-7)² = 53

AB = √53

You might be interested in
In a single growing season at the smith family orchard, the average yield per apple tree is 150 apples when the number of trees
Mariana [72]

Answer:

100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

Step-by-step explanation:

<u>Functions </u>

Expressing some quantities in terms of other(s) comes in handy to understand the behavior of the situations often modeled by those functions.

Our problem tells us about the smith family orchard, where the average yield per apple tree is 150 apples when the number of trees per acre is 100 (or less). But the average yield per tree decreases when more than 100 trees are planted. The rate of decrease is 1 for each additional tree is planted

Let's call x the number of trees planted per acre in a single growing season. We have two conditions when modeling:  when x is less than 100, the average yield per apple tree (Ay) is (fixed) 150.

Ay(x)=150\ ,\ x\leqslant 100

When x is more than 100:

Ay(x)=150-x\ ,\ 100< x\leqslant 150

The upper limit is 150 because it would mean the Average yield is zero and no apples are to be harvested

Part 1

We are asked what happens if the number of trees per acre was doubled, but we don't know what the original number was. Let's make it x=60

If x=60, then we must use the first function, and

Ay(60)=150

The yield per acre will be 150*60=9000 apples

If we doubled x to 120, we would have to use the second function

Ay(120)=150-x=30

The yield per acre will be 30*120=3600 apples

Note that doubling the number of trees would make the production decrease

If we started with x=30, then  

Ay(30)=150, and we would have 150*30=4500 apples per acre

We already know that for x=60 (the double of 30), our production will be 9000 apples per acre

This shows us that in some cases, increasing the number of trees is beneficial and in other cases, it is not

Part 2

The total yield is computed as

Y(x)=x.Ay(x)

This function will be different depending on the value of x

Y(x)=150x\ ,\ x\leqslant 100

Y(x)=150x-x^2\ ,\ 100< x\leqslant 150

To find the maximum total yield we take the first derivative

Y'(x)=150\ ,\ x\leqslant 100

Y'(x)=150-2x\ ,\ 100< x\leqslant 150

The first expression has no variable, so the total yield must be evaluated in the endpoints

Y(0)=0

Y(100)=15000

Now, the second expression contains variable, it will be set to 0 to find the critical point

150-2x=0

x=75

x is outside of the boundaries, we cannot find the maximum in this interval

Answer: 100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

7 0
3 years ago
Which fraction is closer to 0 than 1​
scoundrel [369]

Answer:

5/12

Step-by-step explanation:

Since 1/2 is the same distance from zero and one, we can use it to judge whether a fraction is closer to 0 or 1.

Since 5/8 is greater than 4/8 which is 1/2, it is closer to 1.

Since 8/10 is greater than 5/10 which is 1/2, it is closer to 1.

Since 5/12 is less than 6/12 which is 1/2, it is closer to 0.

So our answer is C. 5/12

3 0
3 years ago
Help me. Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.
igor_vitrenko [27]

Answer:

the correct answers are 22 and 8

7 0
3 years ago
Read 2 more answers
What is this answer???
wlad13 [49]

Answer:

∠ ABC = 116°

Step-by-step explanation:

Since the angles are supplementary, they sum to 180° , that is

8x - 36 + 4x - 12 = 180

12x - 48 = 180 ( add 48 to both sides )

12x = 228 ( divide both sides by 12 )

x = 19

Then

∠ ABC = 8x - 36 = 8(19) - 36 = 152 - 36 = 116°

5 0
3 years ago
You have to find the slope and y intercept of the table.<br><br>​
stepladder [879]

Answer:

slope=-1.1/500

y-intercept=212.0

Step-by-step explanation:

the y-intercept is always the number next to x, on the y side.

the boiling point is going down by 1.1

8 0
3 years ago
Other questions:
  • Evaluate the expression.........
    9·1 answer
  • Lee scored 25 points in yesterday's game. That was 3 more than twice the number of points Alex scored.
    12·2 answers
  • All of the following are examples of repeating decimal numbers except _____.
    10·2 answers
  • Ayana bought a container of peanuts she gave one fourth of it to one sister one third to another sister and she kept the rest fo
    7·1 answer
  • The amount of mass transported via a pipe over a period of time can be computed as M = t2 t1 Q(t)c(t) dt where M = mass (mg), t1
    6·1 answer
  • Question is in picture.
    8·2 answers
  • Help, with an explanation please
    14·2 answers
  • . A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based
    5·1 answer
  • The price of Stock A at 9 A.M. was ​$12.63. Since​ then, the price has been increasing at the rate of ​$0.08 each hour. At noon
    12·1 answer
  • 1. Edna bought an RTW dress for Php575.00 at 20% discount. What was<br> the original price?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!