How do I find the correct variable for N? (It won't be negative I think)

Answers

Answer 1

Answer:

Answer:

$25$

Step-by-step explanation:

$\mathrm{For\ the\ set\ to\ be\ the\ sets\ of\ natural\ numbers,\ (n)/(5)\ and\ √(n+144)\ must\ be\ a}\n\mathrm{positive\ integer.}\n\mathrm{√(n+144)\ is\ a\ natural\ number\ when\ (n+144)\ is\ a\ perfect\ square.}\n\mathrm{And\ (n)/(5)\ is\ a\ natural\ number\ if\ and\ only\ if\ n\ is\ exactly\ divisible\ by\ 5.}\n\mathrm{So\ we\ need\ to\ find\ the\ smallest\ positive\ integer\ which\ would\ make\ both\ of\ these}\n\mathrm{cases\ true.}$

$\mathrm{Now\ we\ know\ that\ 144\ is\ a\ perfect\ square.\ The\ most\ closed\ perfect\ square\ to}\n\mathrm{144\ are\ 121\ and\ 169.}\n\mathrm{We\ are\ taking\ these\ closest\ perfect\ squares\ to\ 144\ because\ we\ want\ the\ value\ of}\n\mathrm{n\ to\ be\ as\ small\ as\ possible.}\n\mathrm{Now\ if\ (n+144)=121,\ n=23\ (which\ is\ not\ divisible\ by\ 5).}\n\mathrm{if\ (n+144)=169,\ n=25(which\ is\ divisible\ by\ 5).}$

$\mathrm{Notice,\ when\ n=25,\ 34+n,\ (n)/(5)\ and\ √(n+144)\ are\ all\ natural\ numbers.}\n\therefore\ \mathrm{n}=25.$

Related Questions

Consider the following food chain: Plants are eaten by grasshoppers, which are eaten by mice, which are eaten by snakes. What would happen to the other members of the food chain if the plant population was wiped out?
a. The populations of grasshoppers, mice, and snakes would increase.
b. The populations of grasshoppers and mice would increase, while the population of snakes would decrease.
c. The populations of grasshoppers would decrease, while the population of mice and snakes would increase.
d. the number of plants will increase, the number of grasshoppers will increase, the number of snakes will increase

Answers

Answer;

-The populations of grasshoppers, mice, and snakes would decrease.

Explanation;

-The food web or a food chain describes the series of relationships that occur between predators and prey in an ecosystem.

-Several types of life forms form the food web. Green plants that can make their own food through photosynthesis are the web's producers. They form the bottom of the chain. Animals that get food from other animals and plants are consumers. Decomposers feed off dead plants and animals because decomposers cannot make their own food.

-If producers were removed in a food chain then, all the other animals in the food web would die too, because their food supplies would have died out. The populations of the consumers would fall as the population of the producer fell.

Answer:

Step-by-step explanation:

9. When graphing, what does the y intercept describe? *The place where the line or curve crosses, or touches, the x axis

The place where a line or gurve crosses, or touches, the y axis

O I don't know.

Answers

Answer:

Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.

6b − 1 ≤ 41 or 2b + 1 ≥ 11

Answers

Answer:

b $\leq$ 7 or b $\geq$ 5

Step-by-step explanation:

6b-1 $\leq$ 41 or 2b+1 $\geq$ 11

+1 to both sides to get 6b $\leq$ 42

then divide both sides by 6 to get b $\leq$ 7

then for the other side you -1 by both sides to get 2b $\geq$ 10

then divide both sides by 2 to get b $\geq$ 5

then your final answer would be b $\leq$ 7 or b $\geq$ 5.

Blueberries contain sugars like glucose. What is the source of carbon for the glucose in blueberries? A. Carbon atoms in fertilizer
B. Carbon dioxide gas in air
C. Carbon dissolved in water
D. Carbon molecules in the soil

Answers

B. Carbon dioxide gas in air

Solve this question? 7x - 3x +7 =3 (x - 4)+20

Answers

x=1

To solve this you start by adding like terms on the left side and doing the distributive property and adding like terms on the right. This would get you
4x+7=3x+8

Then you minus 3x on both sides getting
x+7=8

Then subtract 7 from both sides getting x=1.

7x - 3x + 7 = 3 ( x - 4 ) +20
⇔ 4x + 7 = 3x - 12 + 20
⇔ 4x - 3x = 8 - 7
⇔ x = 1

Helpppppppp will give brainliest!

Answers

I am pretty sure it’s d

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