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dusya [7]
2 years ago
11

YEAR 9 MATHS PLEASE HLEP A café owner records the average monthly temperature and the monthly sales of soup over a year. The ave

rage monthly temperature for the next month is predicted to be 7°C. Use the graph to estimate the sales of soup that month.

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
4 0

Answer:

480.

Step-by-step explanation:

We would need to draw the line of best fit through these point.

An estimate would be about 480.

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The third choice will work
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2 years ago
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The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
Crazy boy [7]

Answer:

n(A) = n_1A^k

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

\frac{dn}{dA} = k\frac{n}{A}

This differential equation can be solved by the method of separable variables like this:

\frac{dn}{n} = k\frac{dA}{A} with what you get:

\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}

ln|n| = kln|A|+C. Taking exponentials on both sides of the equation:

e^{ln|n|} = e^{ln|A|^{k}+C}

n(A) = e^{C}A^{k}

how do you have to n (1) = n_1, then

n(A) = n_1A^k

8 0
2 years ago
Which value represents |7.8|?
nika2105 [10]
Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.
8 0
2 years ago
The infield of a baseball field is a square
AnnZ [28]

Answer:

  106.1 ft/s

Step-by-step explanation:

You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.

The speed is the ratio of distance to time:

  speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.

_____

In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:

  d² = 1² + 1²

  d² = 2

  d = √2

Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.

7 0
2 years ago
The function f(x) = 1/2 x + 3/2 is used to complete this table.
Mrac [35]

Answer:

a) f(-1/2)  = -2 is NOT TRUE.

b)  f(0)  =3/2 is  TRUE.

c)   f(1)  = -1 is NOT TRUE.

d)   f(2)  = 1 is NOT TRUE.

e)   f(4)  = 7/2  is  TRUE.

Step-by-step explanation:

Here, the given function is  f(x) = (\frac{1}{2}) x+\frac{3}{2}

Now, checking for each values for the given function:

a) Putting x  = (-1/2):

 f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2}   = \frac{-1}{4}  + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4}  = (\frac{5}{4} )

and (5/4) ≠  -2

Hence, f(-1/2)  = -2 is NOT TRUE.

b)Putting x  = 0 :

f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )

Hence, f(0)  =3/2 is  TRUE.

c) Putting x  = 1:

f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2}   = \frac{1}{2}  + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2}  = (\frac{4}{2} )   = 2\implies 2   \neq -1

Hence, f(1)  = -1 is NOT TRUE.

d)Putting x  = 2:  

f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2}   = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2}  = (\frac{5}{2} )

and (5/2) ≠  1

Hence, f(2)  = 1 is NOT TRUE.

e)Putting x  = 4:

 f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2}   = 2  + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2}  = (\frac{7}{2} )

Hence, f(4)  = 7/2  is  TRUE.

4 0
2 years ago
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