Teach me how to ''write each rational number in a form a/b where a and b are integers
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Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over time. She observed that the population loses \dfrac{1}{18} 18 1 start fraction, 1, divided by, 18, end fraction of its size every 222 months. The population of foxes can be modeled by a function, PPP, which depends on the amount of time, ttt (in months). When Alyssa began the study, she observed that there were 185{,}000185,000185, comma, 000 foxes in the Arctic circle. Write a function that models the population of the foxes ttt months since the beginning of Alyssa's study.
Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many photos could be in each row?
(3x²y³)(-5xy^{4}z)When multiplying the variables, do you multiply the x by the x next to the y^{4}z, and the y with the y^{4}? I asked my teacher this question for a similar problem and he said not to. When I asked my dad for help with this problem, he said that you do and the answer is -15x^{3}y^{7}z. Which method is correct?
- 18 < - 3x + 9 < 12
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a*2 + b = 26;
a*(-4) + b = -16;
then, a*6 = 42 => a = 7 => b = 26 -14 => b = 12;
from table, 7*9 + 12 = 63 + 12 = 75, correct;
7*(-8) + 12 = -56 + 12 = -44, correct;
slope = ( -44 + 16) / ( -8 + 4) = ( - 28) / (-4) = 7 = a;
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Answer:
The correct answer is 2.
Step-by-step explanation:
Given y is directly proportional to x raised to the power n.
⇒ y
⇒ y = p × with p being the constant of proportion.
Let y be the area of a square of side x meters.
Therefore y = square meters.
Now according to the given problem, comparing both the above mentioned equation we get the value of n equal to 2.
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Answer:
2005
Step-by-step explanation:
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The solution is, the triangle is an isosceles triangle.
What is Triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Here, we have,
To solve this problem we simply need to find the lengths of each side of the triangle.
To do this, we use the distance formula: √(x1-x2)^2+(y1-y2)^2.
Using points J and K, we find that the length of JK is
√(3-4)^2+(-1-(-4))^2
=√(-1)^2+(3)^2
=√1+9
=√10.
Then we do the same for JL and KL.
JL is √(3-1)^2+(-1-(-3))^2
=√(2)^2+(2)^2
=√4+4
=√8.
KL is √(4-1)^2+(-4-(-3)^2)
=√(3)^2+(-1)^2
=√9+1
=√10.
Now we have all three sides of the triangle: √10, √8, and √10.
Check for any similarities: you have two sides of √10.
Because there are two sides of the triangle of the same length, the triangle is an isosceles triangle.
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324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.
What is product?
In mathematics, a product is the outcome of multiplying two or more numbers together.
The outcome of multiplication is a product, or a factor, which is an expression that specifies the objects (numbers or variables) to be multiplied.
For instance, the result of multiplying 2 and 5 together is 10, or the product. Math requires a lot of multiplication.
Explanation:
Since, 324 is exactly three times 108,
324 = 3 x 108.
Therefore,
324 x 4 = (3 x 108) x 4
324 x 4 = 3 x (108 x 4)
Solving,
108 x 4 = 432
therefore,
324 x 4 = 3 x 432
324 x 4 = 1296.
As, shown above we can use the product of 108 and 4 to find the product of 324 and 4.
Thus, you multiply the product of 108*4 by thee to get 324*4
Therefore, 324 is exactly three times 108. Thus, the product of 324 and 4 is exactly three times the product of 108 and 4.
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Answer:
Step-by-step explanation:
The original selling price of the pair of socks is $8. The pair of socks is on sale for 15%. The new selling price of the pair of socks would be the original price - 15% off the original price. It becomes
8 - (15/100 × 8) = 8 - 0.15×8 = 8 - 1.2 = $6.8
if the sales tax rate is 8%, it means that the total cost of the socks would be the new selling price + 8% of the new selling price. It becomes
Total cost of the pair of socks
= 6.8 + (8/100×6.8) = 6.8 + 0.08×6.8 = 6.8 + 0.544 = $7.344