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RoseWind [281]
3 years ago
5

What’s 2/3 of 24 please

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0
"8 because 24 divided by 3 is 8. Have a great day!"
-Link

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Haley’s recipe calls for 4.5 cups of an ingredient. Her measuring bowl only has measurements marked in liters. Hayley knows that
yKpoI14uk [10]

Answer:

10.8 liters

Step-by-step explanation:

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I need help with the question please
Sophie [7]

Answer:

8

Step-by-step explanation:

Each month your hair grows .5 inches

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The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is
andreyandreev [35.5K]
In the year 2009 there were 3500 birds on an island. If the bird population is declining 2.2% per year it means that in the year 2014 we will have 3500*(1-0.022^{5})=3500*0.978 x^{5}= 3131.57 birds. 
The best prediction is that in the year 2014 the bird population will be 3132.
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Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive
Elena L [17]

Answer:

Constructive Proof

Step-by-step explanation:

Let x be a positive integer

x must be equal to sum of all positive integers exceeding it

i.e.

x = x + (x - 1) + ( x - 2) + ......... + 2 + 1

Equivalently,

x = ∑i (where i = 1 to x)

The property finite sum;

∑i (i = 1 to x) = x(x + 1)/2

So,

x = x(x + 1)/2 ------- Multiply both sides by 2

2 * x = 2 * x(x + 1)/2

2x = x(x + 1)

2x = x² + x ------- subtract 2x from both sides

2x - 2x = x² + x - 2x

0 = x² + x - 2x ----- Rearrange

x² + x - 2x = 0

x² - x = 0 ------ Factorise

x(x - 1) = 0

So,

x = 0 or x - 1 = 0

x = 0 or x = 1 + 0

x = 0 or x = 1

But x ≠ 0

So, x = 1

The statement is only true for x = 1

This makes sense because 1 is the only positive integer not exceeding 1

1 = 1

It is a Constructive Proof

A proof is constructive when we find an element for which the statement is true.

8 0
3 years ago
Which graph represents Y as a function of x?
sattari [20]

Answer:

D

Step-by-step explanation:

a "function" gives every x value exactly one y value.

A, B and C all have 2 or more y values for an x value.

use e.g. a pen and place it vertically (straight top-down, parallel to the y-axis) on the graphs.

how often does the pen intersect the function curve ?

that is what I am talking about.

if it is more than once, than the x value (the point on the x-axis), where you put your pen, has more than 1 y values.

and that is then not a function.

only D is a function. the pen intersects with the function curve only once, no matter where you put the vertical pen.

7 0
1 year ago
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