A quotient of 8.4×10^9 and a number n results in 5.6×10^27 what is the value of n

Answers

Answer 1

Translated to notation, this question is asking you to solve for n when:

[tex] \frac{8.4\times10^9}{n}=5.6\times10^{27} [/tex]

A good first step would be to multiply both sides by n, cancelling out the n in the denominator on the left side and leaving you with:

[tex]8.4\times10^9=(5.6\times10^{27})n[/tex]

And of course, to get n by itself from here, you simply divide both sides by [tex]5.6\times10^{27}[/tex]:

[tex]n= \frac{8.4\times10^9}{5.6\times10^{27}} [/tex]

Related Questions

The type of a parameter whose type is omitted in a function definition is

Answers

The answer is forgetting to return a value from a function that is supposed to return a value is a compilation error.

The sum of three consecutive integers is 267. What is the largest integer?

Answers

middle number = 267 / 3 = 89

88 + 89 +90 = 267

largest number = 90

A person must score in the upper 2% of the population on an iq test to qualify for membership in mensa, the international high-iq society (us airways attache, september 2000). there are 110,000 mensa members in 100 countries throughout the world (mensa international website, january 8, 2013). if iq scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for mensa (to the nearest whole number)?

Answers

135 Using a standard normal table, you can look up the number of standard deviations for the 98% value which will be 2.054. Then multiply this number by the standard deviations and add that to the mean to get the desired value. So 2.054 * 15 + 100 = 130.81 Rounding to the nearest whole number gives you 131.

Final answer:

To qualify for Mensa, a person must have an IQ score in the top 2% of the population. Using the normal distribution with a mean of 100 and standard deviation of 15, the minimum qualifying IQ score is approximately 131.

Explanation:

To qualify for Mensa, an individual must have an IQ score within the top 2 percent of the population. Given that the IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, we can use the Z-score formula to find the corresponding IQ score.

The Z-score that corresponds to the top 2 percent can be found using a standard normal distribution table or a calculator with inverse normal function. The Z-score for the 98th percentile is approximately 2.05. We can then use the Z-score formula:

Z = (X - Mean) / Standard Deviation

Substituting the values we have:

2.05 = (X - 100) / 15

Solving for X gives us:

X = 2.05 * 15 + 100

X = 130.75

Therefore, the minimum IQ score required to qualify for Mensa, to the nearest whole number, is 131.

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The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $ 6$6 per pound with some Orange Pekoe tea that sells for $ 4$4 per pound to get 600600 pounds of the new blend. The selling price of the new blend is to be $ 4.50$4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?

Answers

Final answer:

To find the quantities of Earl Grey and Orange Pekoe tea needed to make a 600-pound blend that sells for $4.50 per pound, we use the mixture price formula, leading to a linear equation representing the total cost of blending these teas.

Explanation:

The manager wants to blend Earl Grey tea ($6 per pound) and Orange Pekoe tea ($4 per pound) to produce 600 pounds of a new blend selling for $4.50 per pound without affecting revenue. To determine the required pounds of each tea, we can use the mixture price formula: total cost = (quantity of Earl Grey × price of Earl Grey) + (quantity of Orange Pekoe × price of Orange Pekoe). Since the total pounds are given as 600, let the quantity of Earl Grey be x pounds and Orange Pekoe (600 - x) pounds. The equation becomes $4.50 × 600 = $6 × x + $4 × (600-x). Solving this equation gives us the quantities of Earl Grey and Orange Pekoe required.

Write each expression as the product of two factors 2x1+(1+7)+(7x2)

Answers

The expression as the product of two factors is (1 + 7)(2 + 1).

What is termed as the product of the factors?A factor is a number which divides another number by itself and leaves no remainder. In other words, so unless multiplying two whole numbers yields a product, the numbers being multiplied are factors of a product because the product is divisible by them.Factors can be found using two methods: multiplication and division. Furthermore, rules of divisibility could be applied.

For the given question, the expression is;

= 2x1 + (1+7) + (7x2)

First, search for numbers that share a factor.

Consider the factors (2 x 1) and (7 x 2); this same common factor is two, so we factor.

= (2 x 1) + (7 x 2) + (1 +7)

Taking 2 common from first two numbers.

= 2 (1 + 7 ) + (1 + 7)

Now, take (1+7) common from both.

= (1 + 7)(2 + 1)

Thus, the expression as the product of two factors is (1 + 7)(2 + 1).

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Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?

Answers

D = rt; r = t/d; t = d/r

t = d/r
t = 280/70
t = 4 hours

Chad bought a box of raisins. he gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. what fraction did he keep?

Answers

Greetings!

This can be solved by creating a simple equation.
[tex]1/4+1/6+x=1[/tex]

Solve for x.
[tex]1/4+1/6+x=1[/tex]
Find the LCM.
[tex]3/12+2/12+x=1[/tex]
[tex]5/12+x=1[/tex]
Add -5/12 to both sides.
[tex](5/12+x)+(-5/12)=(1)+(-5/12)[/tex]
Simplify.
[tex]x=1/1-5/12[/tex]
Find the LCM.
[tex]x=12/12-5/12[/tex]
[tex]x=7/12[/tex]

He kept 7/12 of the raisins for himself.

Hope this helps.
-Benjamin

Use the slope formula to find the slope of the line passing through the given points. (–4, 7) and (0, 8)

Answers

the first picture is for (-4, 7) and the second picture is for (0, 8)

Hi there!

Step-by-step explanation:

[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{8-7}{0-(-4)}=\frac{1}{4}[/tex]

Final answer is 1/4.

Slope is 1/4.

Hope this helps!

Thanks!

-Charlie

Have a nice day! :)

Jessica's lab is 12 times as long as her hamster. Her hamster is 4.16 inches long. How long is her lab?

Answers

This is easy! You just have to multiply 12 by 4.16. And 12*4.16= 49.92. Which means Jessica's lab is 49.92 inches long.

Key words - times

all you have to do is multiply 4.16 by 12, which is
49.92

Jessica's lab is 49.92 inches long

i hope this helps!!

the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?

Answers

well, first off, let's find what is the slope of BC

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) B&({{ 2}}\quad ,&{{ -3}})\quad % (c,d) C&({{ 10}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2} \\\\\\ \cfrac{4}{8}\implies \cfrac{1}{2}[/tex]

now, a line perpendicular to that one, will have a negative reciprocal slope, thus

[tex]\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\ slope=\cfrac{1}{{{ 2}}}\qquad negative\implies -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}[/tex]

now, we know the slope "m" of AB is -2 then, thus

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ a}}\quad ,&{{ 3}})\quad % (c,d) B&({{ 2}}\quad ,&{{ -3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2} \\\\\\ \cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a \\\\\\ -1=a[/tex]

The value of a is -1

What do perpendicular lines have a slope of?

Perpendicular lines have slopes that are negative reciprocals of each other. The given line's slope is 5, which means that the slope of the opposite line must be its negative reciprocal.

Conclusion: The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that is the slope of the line is -1/m.

let the slope of line AB is m1 and the slope of line BC be m2

m1= 3+3/a-2 = 6/a-2

m2=1+2/10-2 = 1/2

m1 * m2 = -1

6/a-2 * 1/2 = -1

3 = -a+2

a = -1

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what are the coordinates of a p;point on the unit circle if the angle formed by the positive x axis and the radius is 60 degrees

Answers

The diagram attached shows the graph described. Remember that the radius of the Unit Circle is 1. The In the corner of the diagram, we have the special right triangle 30-60-90 degrees, and its unit length ratios.

Using the ratios, we know that the side opposite the 30° angle (the x-axis) will be 1/2 the hypotenuse 1, which is 1/2. This means our x-coordinate is 1/2.

We also see that the side opposite the 60° angle will be the other leg, times √2. This means it will be (1/2) * √2 = √(2)/2. This is the y-coordinate.

Therefore, the coordinates of the point on the unit circle are (1/2, √(2)/2).

4- T = 3 (T-1)-5

A. 3
B. 6
C. No solution
D. Identity

If you can explain this to me I would really love that.

Answers

First lets expand it
next we subtract 3T - 3 - 5 so it can be 3T - 8
next we add T to both sides
next we subtract 3T - 8 + T so it can be 4T - 8
next we add 8 to both sides
next we add 4 + 8 so it can be 12
then we divide both sides by 4
and lastly we reduce the fraction 12/4 and we have our answer.

Answer: A) T = 3

Hi there!

To solve this equation, you need to first use the Distributive Property on the right side.

4 - t = 3t - 3 - 5

Now, add like terms.

4 - t = 3t - 8

Then, move terms to their own sides.

(4 - 4) - t = 3t + (-8 - 4)

(-t - 3t) = (3t - 3t) - 12

-4t = -12

Now, divide both sides by -4.

-4t / -4 = -12 / -4

t = 3

The answer is A. 3.

Hope this helps.

What is the minimum number of degrees that a hexagram can be rotated so that it is carried onto itself?

Answers

The minimum number of degrees that a hexagram can be rotated so that it is carried onto itself is 60 degrees.

60 degresss is the answer

7,080,267 written in expanded form

Answers

if you know the definition of expand (to increase or make bigger)
then this will be easy.

when ever it asks for expanded for that means your answer has to be bigger than the number your given.

for your question:
you have 7,080,267

so u first do the biggest value which is the first 7 on the left.
and then work your way down to the smallest which would be 7 on the right.

7000000
000000
80000
0000
200
60
7
that is the numbers expanded

but now u have to write it in the fom so you just add a + after each number

7000000+000000+80000+0000+200+60+7
you can shorten it by removing the numbers with no value:
7000000+80000+200+60+7

Final answer:

The number 7,080,267 in expanded form is written as the sum of each digit multiplied by its place value: 7,000,000 + 80,000 + 800 + 200 + 60 + 7.

Explanation:

To write the number 7,080,267 in expanded form, we break it down into each digit's place value and represent it as the sum of each digit multiplied by its place value.

The expanded form of 7,080,267 is:

7,000,000 + 80,000 + 800 + 200 + 60 + 7

This shows that there are seven millions, eighty thousands, eight hundreds, two hundreds, six tens, and seven ones.

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PLEASE HELP ASAP!!I WILL GIVE BRAINLIEST AND 5 STARS AND HEART AND PROFILE COMMENT (4 QUESTIONS)!!!!

Identify the corresponding word problem given the equation: x + 5 = 15
A) Billy is ten years older than his sister, Jenny. If Billy is 15 years old,
how old is Jenny?
B) Billy is five years older than his sister, Jenny. If Jenny is 15 years old,
how old is Jenny?
C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
how old is Jenny?
D) Billy is fifteen years older than his sister, Jenny. If Billy is 20 years old,
how old is Jenny?

Identify the corresponding word problem given the inequality: x ≤ 4.50
A) The price of diesel has been less than $4.50 for the last month.
B) The price of diesel has been more than $4.50 for the last month.
C) The price of diesel has been no more than $4.50 for the last month.
D) The price of diesel has been no less than $4.50 for the last month.

Identify the corresponding word problem given the equation: x - 9.2 = 12.8
A) Nick ran 9.2 miles less than Perry last week. If Nick ran 22 miles, how many miles did Perry run?
B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
C) Perry ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?
D) Nick ran 9.2 miles less than Perry last week. If Nick ran 12.8 miles, how many miles did Perry run?

Identify the corresponding word problem given the equation: x + 12.50 = 55.75
A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
B) For mowing the neighbor's yard, Jessy was paid $55.75. If he now has $12.50, how much money did he have before?
C) For mowing the neighbor's yard, Jessy was paid $43.25. If he now has $55.75, how much money did he have before?
D) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $68.25, how much money did he have before?

Answers

Identify the corresponding word problem given the equation: x + 5 = 15
C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
Jenny is x = 15 - 5 = 10
Jenny is 10 years old
----------------------

Identify the corresponding word problem given the inequality: x ≤ 4.50
C) The price of diesel has been no more than $4.50 for the last month.
---------------------

Identify the corresponding word problem given the equation: x - 9.2 = 12.8
B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
x = 12.8 + 9.2 = 22
Perry ran 22 miles

----------------------
Identify the corresponding word problem given the equation: x + 12.50 = 55.75
A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
x = 55.75 - 12.50 = 43.25

Before he had $43.25

Find then selling price per liter of a mixture made from 70 L of cranberry juice which cost $1.20 per liter and 130 L of apple juice which cost $0.80 per liter

Answers

[tex]\bf \begin{array}{lccclll} &\stackrel{liters}{amount}&\stackrel{\$/liter}{price}&\stackrel{total}{cost}\\ &------&------&------\\ Cranberry&70&1.20&84\\ Apple&130&0.80&104\\ ------&------&------&------\\ mixture&200&&188 \end{array}\\\\ -------------------------------\\\\ \cfrac{\stackrel{\$}{188}}{\stackrel{liters}{200}}\implies \cfrac{47}{50}\approx 0.94\frac{\$}{liter}[/tex]

Which coin have a diameter with a 5 in a hundredths place

Answers

in inches it would be a quarter and a penny

Use compatible numbers to estimate the quotient 5821/71?

Answers

Divide 5821 by 71

Round the number to the nearest hundred

5821 ÷ 71 → 5800 ÷ 70

Calculate mentally.

58 ÷ 7=8.2

Estimated quotient = 8

a cylinder has a volume of 83 in3 and is 10 in. tall what is the radius of the cylinder in inches use 3.14 and round to the nearest 10th

Answers

check the picture below.

Need help with problem, been stuck on it for a while

Answers

well, if you look at the picture, the "radius" is 1/4, so r = 1/4.

[tex]\bf \textit{diameter of a circle}\\\\ d= 2r\qquad \boxed{r=\frac{1}{4}}\implies d=2\cdot \cfrac{1}{4}\implies d=\cfrac{1}{2}\\\\ -------------------------------\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \boxed{r=\frac{1}{4}~,~\pi =\cfrac{22}{7}}\implies C=2\left( \frac{22}{7} \right)\left( \frac{1}{4} \right) \\\\\\ C=\cfrac{2\cdot 22\cdot 1}{7\cdot 4}\implies C=\cfrac{11}{7}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \boxed{r=\frac{1}{4}~,~\pi =\cfrac{22}{7}}\implies A=\left( \frac{22}{7} \right)\left( \frac{1}{4} \right)^2 \\\\\\ A=\cfrac{22}{7}\cdot \cfrac{1^2}{4^2}\implies A=\cfrac{22}{7}\cdot \cfrac{1}{16}\implies A=\cfrac{11}{56}[/tex]

Whats between 0.4 and 0.5

Answers

There are infinitely many numbers between 0.4 and 0.5, but I'd imagine what you're asking is "what number is halfway between 0.4 and 0.5?"

Remember that trailing zeroes (the zeroes after the end of a decimal fraction) don't alter the number itself, so we can also write 0.4 and 0.5 as 0.40 and 0.50, 40 hundredths and 50 hundredths. Since 45 is halfway between 40 and 50, it makes sense that 45 hundredths - 0.45 in decimal form - is halfway between 40 and 50 hundredths.

The numbers between 0.4 and 0.5 are 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, and 0.49.

Used the concept of the number system states that

A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.

Here, the two numbers are 0.4 and 0.5

So, all the numbers that are between 0.4 and 0.5 are,

0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49

Therefore, the numbers are 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, and 0.49.

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Use the formula for interest. P= $250 r= 7.2% Y= 15 A= ?

Answers

Can you please give the formula?

Answer:

value of A is $520

Step-by-step explanation:

Calculate the amount 'A' by using formula:-

A = P ( 1 + r * Y )

Where A is amount, P is principle , r is rate of interest and Y is time in years

Now, put the given values in A = P ( 1 + r * Y ) to get the value of A.

Since, P= $250, r= 7.2% and Y= 15

r = 7.2% so r = 0.072

A = P ( 1 + r * Y )

A = $250 ( 1 +0.072 * 15 )

A = $250 ( 1 + 1.08 )

A = $250 ( 2.08 )

A = $520

Hence, value of A is $520

HELP ME Look at pics

Answers

9x^2 - 12y^2 - 11x, the last answer, number 4

combine all the like terms

8x^2 + x^2 = 9x^2

-9y^2 - 3y^2 = -12y^2

-4x-7x = -11x

so you have 9x^2 -12y^2-11x

Answer id the last one

0.00000002 in scientific notation

Answers

Your answer is: 2⋅10^−8

Please mark Brainliest!

2*10^-8

I'm pretty sure that's right

A cyclist rides his bike at a rate of 21 miles per hour. What is this rate in miles per minute? How many miles will the cyclist travel in 2 minutes? Do not round your answers.

Answers

5 days ago, hope this still helps though!

Alright 21 miles per hour. We know that there are 60 minutes in an hour. So this is basically saying 21 miles per 60 minutes. To find the rate for miles per minute, you divide 21 by 60 which is 0.35.

In one minute the cyclist rides 0.35 miles
In two minutes the cyclist rides 0.7 miles

Consider the solid s described below. the base of s is the region enclosed by the parabola y = 5 - 5x2 and the x-axis. cross-sections perpendicular to the x-axis are isosceles triangles with height equal to the base. find the volume v of this solid.

Answers

Final answer:

To find the volume of the solid described, we can use the formula for the volume of a cylinder and integrate the cross-sectional area. The cross-sectional area is the base of the solid, and in this case, it is given by (25 - 50x^2 + 25x^4).

Explanation:

The solid described in the question has a base in the shape of the region enclosed by the parabola y = 5 - 5x^2 and the x-axis. The cross-sections perpendicular to the x-axis are isosceles triangles with a height equal to the base.

To find the volume of the solid, we can use the formula for the volume of a cylinder. The cross-sectional area of each triangle is the base times the height, and the height of the triangle is also the base. So, the cross-sectional area is A = (5 - 5x^2)(5 - 5x^2) = (25 - 50x^2 + 25x^4).

The volume of the solid is then given by integrating the cross-sectional area from the x-values that define the base of the solid. So, V = ∫(25 - 50x^2 + 25x^4)dx.

WILL GIVE BRAINEST
which description matches the function that represents by the values in this table?

Answers

D. exponential growth

Hiya :)

d. exponential growth

Have a great day!!!

Hope this helped!!

:)))))

10x + 16 ≥ 6x + 20 what is the answer to this

Answers

10x + 16 ≥ 6x + 20
Subtract both sides by 16
10x ≥ 6x + 4
Subtract both sides by 6x
4x ≥ 4
Divide both sides by 4
x ≥ 1
Have an awesome day! :)

Answer:

The solution of given inequality is x ≥1.

Step-by-step explanation:

The given inequality is

[tex]10x+16\geq 6x+20[/tex]

We need to separate the variable terms to solve the above inequality.

Subtract 6x and 16 from both sides to separate the variables on left side.

[tex]10x+16-6x-16\geq 6x+20-6x-16[/tex]

On combining like terms we get

[tex](10x-6x)+(16-16)\geq (6x-6x)+(20-16)[/tex]

[tex]4x\geq 4[/tex]

Divide both sides by 4.

[tex]x\geq \frac{4}{4}[/tex]

[tex]x\geq 1[/tex]

Therefore the solution of given inequality is x ≥1.

brian irons 2/9 of his shirt in 3 3/5 minutes. how much of his shirt does he iron each minute

Answers

[tex]\bf \begin{array}{ccll} shirt&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{2}{9}&3\frac{3}{5}\\\\ s&1 \end{array}\implies \cfrac{\frac{2}{9}}{s}=\cfrac{3\frac{3}{5}}{1}\implies \cfrac{\frac{2}{9}}{\frac{s}{1}}=\cfrac{\frac{3\cdot 5+3}{5}}{\frac{1}{1}}\implies \cfrac{2}{9}\cdot \cfrac{1}{s}=\cfrac{\frac{18}{5}}{\frac{1}{1}} \\\\\\ \cfrac{2}{9s}=\cfrac{18}{5}\implies 10=162s\implies \cfrac{10}{162}=s\implies \cfrac{5}{81}=s[/tex]

the perimeter of a rectangle is 24 centimeters. It's length is 9 centimeters. find the width

Answers

9+9 is 18 24-18 is 6 6 divided by 2 is 3 so the width is 3 centimeters

it is 15 because you subtract 24 with 9 and that gets you 15 and me as a brainilist plz

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