Answer/Step-by-step explanation:
2. Using two pairs of values, (0, 59) and (2,000, 51),
3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,
y-intercept (b) = 59
4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in 
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5. Substitute x = 5,000 in .
At an altitude of 5,000 ft, temperature would be 39°F
Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
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b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
Answer:
92.75 cm^2
Step-by-step explanation:
Area of triangle ADC
= (1/2)×4.5×12 = 27
Area of triangle ACB
=(1/2)×12×5 = 30
Find AB using pythagoras theorem on triangle ABC:
AB^2 = 5^2 + 12^2 = 25 + 144
AB^2 = 169
AB = 13cm
Area of triangle AGB
= (1/2)×13×5.5 = 35.75
Total area = sum of the areas of the 3 triangles found above
= 27 + 30 + 35.75 = 92.75 cm^2
Answer:The height of the pharmacy area is 17 feet
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The pharmacy area is rectangular. The height of the pharmacy area becomes the width of the rectangle.
The area of the pharmacy area is given as 391 ft^2
The length of the pharmacy area is given 23 feet
Therefore
23 × h = 391
h = 391/23 = 17 feet
Increasing 50 by x% can be written as:
.................(1)
Decreasing 70 by x % can be represented by the expression:
...........(2)
Now we are given in the question that if we increase 50 by x% and 70 by x%, then the two values are equal.
so equating (1) and (2) , we get
bringing 0.01x to the left side:
taking 50 to the right side, subtracting it from 70
dividing both sides by 0.02
Answer x=2000
