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3 years ago

Solve for n. n−10=5−4n

Mathematics

2 answers:

Alisiya [41]3 years ago

8 0

N = 3. Add 10 to both sides. Add 4n to both sides. Divide 4 from both sides.

Julli [10]3 years ago

5 0

N - 10 = 5 - 4n
+ 10 +10

n = 15 - 4n
+4n +4n

5n = 15

n = 3

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Vera_Pavlovna [14]

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3 years ago

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3 years ago

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The mass of a proton is approximately 1.67 x 10−24, and the mass of an electron is approximately 9.11 x 10−28. Find the approxim

nataly862011 [7]

Answer:

≈ 1833

Step-by-step explanation:

To find ratio of proton mass to electron mass, we have to divide.

The numbers are given in scientific notation.

Let a number be $a*10^b$ and another be $c*10^d$ , when we divide, we will follow the rule shown below:

$\frac{a*10^b}{c*10^d}=(\frac{a}{c}*10^{b-d})$

Now, we use the information given to find the ratio:

$\frac{1.67*10^{-24}}{9.11*10^{-28}}\\=(\frac{1.67}{9.11}*10^{-24--28})\\=0.1833*10^4$

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

$0.1833*10^4=1833$

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]

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3 years ago

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A: 1/2 inch B: 1 inch C: 2 inches D: 1/32 inch

mote1985 [20]

The expression of the height is

$a_n=8\cdot (\frac{1}{2})^{n-1}$

the index "n" is the numbers of times that the ball is down, to n=1 the height is 8 inches, to n=2 the height is 4 inches.

An when n=5, the height is

$a_5=8\cdot (\frac{1}{2})^{5-1}=8\cdot (\frac{1}{2})^4=\frac{1}{2} =0.5$

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3 years ago

45 units and is centered at

mariarad [96]

The correct question is:

A circle has a radius of 45 units and is centered at (-2.4, -4.8).

What is the equation of this circle?

Answer:

Equation of the circle is;

(x + 2.4)² + (y + 4.8)² = 2304

Step-by-step explanation:

The standard equation of a circle is;

(x - a)² + (y - b)² = r²

where;

(a,b) is the center of the circle and r is the radius of the circle

Now, from the question, the circle is centered at (-2.4, -4.8) and the radius is 45

Thus, plugging those values into the standard form of equation of a circle, we have;

(x - (-2.4))² + (y - (-4.8))² = 48²

This gives;

(x + 2.4)² + (y + 4.8)² = 2304

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3 years ago