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Shtirlitz [24]
3 years ago
14

The first house lot was 250 feet by 300 feet and the second house lot was 350 feet by 400 feet. The cost per square foot to purc

hase a lot was $5. How much is the total purchase price for buying both lots?
$
Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0
The first lot is (250 x 300) x 5  = 375,000
The second lot is (350 x 400) x 5 = 700,000
375,000 + 700,000 = $1,075,000
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Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11
White raven [17]

Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for f(x)=x^2-3x-10 from x = 4 to x = 6

The formula used to find average rate of change is:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Where b = 6 and x = 4

Finding f(6):

f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8

Finding f(4):

f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6

Now Putting values:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

  • brainly.com/question/3071107
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  • brainly.com/question/2485860

#learnwithBrainly

8 0
2 years ago
Can someone help me with these
Trava [24]
Short answer
For 6: 72 ft^2
For 7: 650 m^2

Six
The base is a square. It's measurement is s = 4
Base = 4^2 
Base = 16 ft^2

One triangle 
A = 1/2 * b * h
A = 1/2 * 4 * 7
A = 14 tt^2

Four triangles
A = 4 * 14
A = 56 ft^2

Total Area = 56 + 16 = 72 ft^2
Answer 72 square feet

Seven
Triangles
Area of 1 triangle = 1/2 * 10 * 13
Area of 1 triangle = 65


Area of 6 triangles
Area of 6 triangles = 6 * area of 1 triangle
Area of 6 triangles = 390

Base
As near as I can tell, the base is a hexagon. It's using a rather out of the way method of drawing it. I will assume it is a regular hexagon. The area of a regular hexagon is 3 sqrt(3)/2 * S^2 where s is the side of the hexagon.

Area = 3sqrt(3)/2 s^2
s = 10
Area = 3sqrt(3)/2 10^2
Area = 5.1962 * 100 /2
Area = 259.81

Total area
Total area = area of the base + area of the triangles
Total area = 259.81 + 390
Total area (rounded ) = 650

Answer C <<<< answer 

I'll do one more in this batch and then you'll need to repost again.

Eight

If you draw two diagonals on the base of the figure, the intersection point will meet the base of the height. Read that a couple of times.
Join the intersection to the midpoint of the length of the square bottom.  You should get 3.5

x is found by using the pythagorean theorem.
h = 6
s = 3.5
x = ????

x^2 = 6^2 + 3.5^2
x^2 = 36 + 12.25
x^2 = 48.25
x = sqrt(48.25)
x = 6.95 

C <<<< answer

 


8 0
3 years ago
What would the circumference be of a circle if the radius is 3 units
MAVERICK [17]

If we have a circle with a radius of 3 we need to find the diameter of the circle.  Remember radius is half of the diameter.  So, the diameter is 6 units.

Use the circumference formula: C=3.14D

C=3.14(6)

C=18.84 units

7 0
3 years ago
Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of suppl
andrey2020 [161]

Answer:

True

Step-by-step explanation:

3 0
2 years ago
Is (1,-3) is a solution of the equation 8p-2q=14?
PSYCHO15rus [73]

Answer: YES

<u>Step-by-step explanation:</u>

  8p - 2q = 14

8(1) - 2(-3) = 14

8   -    -6   = 14

 8    +   6  = 14

       14      = 14

            TRUE

8 0
3 years ago
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