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Blababa [14]
2 years ago
6

Began with a temperature of -10 and ended after 8 minutes at a temperature of 0 which graph represents same relationship between

temperature y and time x
Mathematics
1 answer:
Alexus [3.1K]2 years ago
6 0
Answer: The temperature, y, increases 5/4 or 1.25 degrees per minute, x.


(0,-10) (8,0)

use y1-y2/x1-x2 to find the slope

-10-0/0-8

= -10/-8

= 5/4
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Explain how you would convert a measurement given in ounces into pints
Greeley [361]
8 ounces = 1cup
2 cups = 1 pint
So, 16 ounces = 2 cups = 1pint
16 ounces = 1 pint

If you have 8 ounces, you would have half a pint.
If you have 20 ounces:
20 ounces/16 ounces= 5/4
So, you'd have 1 1/4 or 1.25 pints
4 0
3 years ago
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
1. perpendicular to x - 6y = 2; (2, 4)
nordsb [41]

Answer:

all work is pictured and shown

7 0
2 years ago
a culture of bacteria doubles ever hour. If the colony contained 25 bacteria at noon, how many bacteria will the culture contain
Nastasia [14]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angl
arlik [135]

Answer:

58 degrees

Step-by-step explanation:

If angle 1 + angle 2 = 90 degrees, then:

(3x - 4) + (4x+10) = 90

Combine like terms:

(3x+4x) + (10-4) = 90

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

**Plug x back into angle 2 (This step is easy to forget!):

angle 2 = 4(12) + 10

angle 2 = 48 + 10

angle 2 = 58 degrees

4 0
2 years ago
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