A specific distance is approximately 63,500,00 mi. A fly is about 0.18 in. long ???

A) what is the distance written in scientific notation
B) what is the length of a fly written in scientific notation
C) change the distance to inches it would be 5.04×10 to the power of nine if we lined up the flies how many would it take to reach the distance in standard form and scientific notation.

Answers

Answer 1

Answer:


Step-by-step explanation:

a) Given that a specific distance is approximately 6350000 miles.

To write this in scientific notation.  We know that for writing in scientific notation we must writte the given number as a positive number less than 10 x product of powers of n.

Hence this number

6350000 = 6.35 x1000000 = [tex]6.35x10^6[/tex] miles

b) Length of a fly = 0.18 inches.

To write this in scientific notation.  We know that for writing in scientific notation we must writte the given number as a positive number less than 10 x product of powers of n.

so 0.18 = 1.8([tex]1.8(10^{-1}[/tex]

c) Given that distance = 5.04x10^9 inches

To line up number of flies required

= [tex]\frac{5.04x10^9}{0.18} = \frac{504x10^9}{18}=28(10^9)\\Answer is\\28(10^9)[/tex]

Answer 2
Final answer:

In this mathematical problem, the distance of 63,500,000 miles is written in scientific notation as 6.35 x 10^7. The length of a fly, 0.18 inches, is expressed in scientific notation as 1.8 x 10^-1. To find the number of flies to cover the distance, the distance is first converted to inches (5.04 x 10^9), which when divided by the length of a fly results in 2.8 x 10^10, meaning approximately 28,000,000,000 flies would be needed.

Explanation:

The student's question involves the use of scientific notation and unit conversion in Mathematics.

Firstly, the distance given as approximately 63,500,000 miles can be written in scientific notation as 6.35 x 10^7 miles. The number is changed to a number between 1 and 10 by moving the decimal point 7 places to the left, hence the exponent 7. Secondly, the length of the fly given as 0.18 inches can be written in scientific notation as 1.8 x 10^-1 inches. The decimal point is moved 1 place to the right resulting in an exponent of -1. Lastly, to find out how many flies it would take to reach the distance, we first need to convert the distance from miles to inches. It is given that the conversion is approximately 5.04 x 10^9 inches. So, if we divide this by the length of a fly, i.e., 1.8 x 10^-1 inches, we would arrive at approximately 2.8 x 10^10 flies in both standard form and scientific notation. That is, it would take about 28,000,000,000 flies to reach the mentioned distance.

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Related Questions

The shallowest section of an underground tunnel is -50 feet. The deepest section of the tunnel is -135 feet. How many feet below the shallowest section is the deepest section

A. -95 feet

B. - 185 feet

C. 85 feet

D. 195 feet

Answers

Answer:

The answer would be c)85 FEET

Step-by-step explanation:You start with the deepest section(-135) and add the shallowest point(50). the result is an 85 foot difference.


Answer:  c 85ft

Step-by-step explanation:

6(3c - 5d +6) using distributive property

Answers

Expanding, you get 6(3c) - 6(5d) + 6(6) = 18c - 30d +36


Answer:

18c - 30d +36

Step-by-step explanation:

6(3c - 5d +6)

When we use the distributive property, we distribute the 6 to all the terms inside the parentheses

6*3c - 6*5d +6*6

18c - 30d +36

Please help me!!!!! PLeASe Also I will be giving Brailiest

Answers

Answer:

x = 75

y = 105

Step-by-step explanation:

Remark

You can find y in two different ways.

One

You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or

Two

You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.

Solution

One

y = 60 + 45

y = 105                       Answer

Two

x + 60 + 45 = 180      All triangles have 180 degrees. Solve for x.

x + 105 = 180             Subtract 105 from both sides

x = 180 - 105              Combine

x = 75                         Find an equation that relates x and y

x + y = 180                 x and y are supplementary they add to 180

75 + y = 180               Subtract 75 from both sides.

y = 180 - 75                Combine

y = 105

is y=19x-5 proportional?

Answers

If x and y are proportional, then y : a = constant.

[tex]\dfrac{y}{x}=a\to y=ax[/tex] ← the equation

We have y = 19x - 5. It's not a proportional.

An electrician has $120 to spend on interior light fixtures. the wholesale price for 13-watt low-energy lamp is $4. The price for a high-energy lamp is $5. write an expression for how much the electrician spends for A units of the low-energy lamp and B units of the high-energy lamp.

complete the table for the electrician's purchase. assume that all of the $120 is spent

Answers

Final answer:

To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.

Explanation:

To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:

Cost of low-energy lamps: 4A

Cost of high-energy lamps: 5B

To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:

Total cost: 4A + 5B = 120

We can solve this equation to find the values of A and B.

What is the distance between the points (12,-8) and (-14,20)

Answers

Answer:

The approximate distance between the points is 38.2

Step-by-step explanation:

The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle.  The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)).  These two distances will form a right angle at (-14,-8).  The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse.  Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.

StepsDistance formula: [tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] , with (x₁,y₁) and (x₂,y₂) as coordinates.

So to find the distance between these two points, we are going to be plugging them into the Distance Formula and solving as such:

[tex]D=\sqrt{(12-(-14))^2+(-8-20)^2}\\D=\sqrt{(26)^2+(-28)^2}\\D=\sqrt{676+784}\\D=\sqrt{1460}[/tex]

Now, with this radical we can simplify it using the product rule of radicals (√ab = √a × √b) as such:

[tex]\sqrt{1460}=\sqrt{10*146}=\sqrt{5*2*2*73}=2*\sqrt{73*5}=2\sqrt{365}[/tex]

Answer:

In short:

Exact distance: √1460 or 2√365 unitsApproximate Distance (rounded to the hundreths): 38.21 units

Write a numerical or variable expression for the quantity: the number of seconds in m minutes

Answers

Final answer:

To find the number of seconds in m minutes, you can multiply m by 60. The numerical expression is 60m and the variable expression is 'm * 60.'

Explanation:

To write a numerical or variable expression for the quantity 'the number of seconds in m minutes,' we need to know the conversion rate between minutes and seconds. There are 60 seconds in 1 minute. So, to find the number of seconds in m minutes, we can multiply m by 60.

The numerical expression would be 60m.

The variable expression would be 'm * 60.'

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If (a, -8) is a solution to the equation -a = 4b - 7 what is a?

Answers

a { 4(-8)-7

a= 32-7

a = 39



so that is your answer

The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.

If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.

Substituting b = -8 into the equation gives us:

-a = 4(-8) - 7

-a = -32 - 7

-a = -39

Now, we can solve for 'a' by multiplying both sides by -1 to get:

a = 39

Therefore, the value of 'a' is 39.

A rectangle with vertices A(6, 0), K(0,0), L(0,9), and M(6, 9) is rotated around the x-axis. To the nearest tenth of a cubic unit, what is the volume of the resulting three-dimensional figure? Approximate as 3.14.

Answers

Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL.  From the given data

[tex]KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.[/tex]

The volume of the cylinder is

[tex]V_{cylinder}=\pi r^2\cdot H.[/tex]

Then

[tex]V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.[/tex]

The area of a rectangular mirror is 15 15/16 square feet. The width of the mirror is 3 3/4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit? Explain. _________ fit because the height is ______ feet.

Answers

Answer: The mirror will fit because the height of the mirror is 4 feet.


Step-by-step explanation:

we just divide 15 by 3 3/4 and get the answer of 4.

Final answer:

Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.

Explanation:

To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.

The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.

After performing the division, we get the height of the mirror to be approximately 4.25 feet.

Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.

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What is the solution to the system of equations?

y = x – 10

2x + y = 4

(–8, 6)
(–6, 16)
(6, –8)
(16, –6)

Answers

Answer:

The solution is the point (6,-8)

Step-by-step explanation:

we have that

The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]

[tex]y=(1/3)x-10[/tex] -----> equation A

[tex]2x+y=4[/tex] -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

[tex]2x+[(1/3)x-10]=4[/tex]

[tex](7/3)x=14[/tex]

[tex]x=6[/tex]

Find the value of y

[tex]y=(1/3)(6)-10=-8[/tex]

therefore

The solution is the point (6,-8)

Which of the following is a solution to the inequality 7-1/5x>0?

Answers

[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]

what is the value of x
enter your answer in the box

Answers

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60

    +3         +3

3x = 6x - 57

     - 6x

- 3x = -57

= 19

Answer:

x = 19

Step-by-step explanation:

[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)

[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]

which number, when placed in the box, will make the equation true?


[tex] {?}^{2} = \sqrt{64} [/tex]
A.
[tex] \sqrt{8} [/tex]
B.
[tex] \sqrt{32} [/tex]
C. 16

D. 32

Answers

[tex]\mathsf{\heartsuit\;\; (\sqrt{8})^2 = \sqrt{64}}\\\\\mathsf{\heartsuit\;\; [(8)^\frac{1}{2}]^2 = \sqrt{(8)^2}}\\\\\mathsf{\heartsuit\;\; (8)^\frac{2}{2} = [(8)^2]^\frac{1}{2}}\\\\\mathsf{\heartsuit\;\; 8 = [8]^\frac{2}{2}}\\\\\mathsf{\heartsuit\;\; 8 = 8}\\\\\mathsf{\heartsuit\;\; Option\;(A)\;is\;the\;Answer}[/tex]

The number which will make the equation true, when placed in the box is: A. √8.

How to solve for the unknown number?

In order to determine the unknown number, we would assign a variable (x) to the unknown number and then evaluate the resulting algebraic equation as follows:

x² = √64

x² = 8

Taking the square root of both sides, we have:

x = √8.

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this property says you can rewrite 3 x (4+5) as (3x4) +(3 x 5).

Answers

Answer:

distributive property

Step-by-step explanation:

Distributive property says that x(y + z) = (x*y) + (x *z)

The property used in the given expression is

Distributive property of multiplication over addition.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of multiplication over addition states that,

a(b + c) = a x b + a x c

Now,

3(4 + 5) = (3 x 4) + (3 x 5)

This is the Distributive property of multiplication over addition.

Thus,

The property of distributive multiplication over addition is used.

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Millie needs the average height of the plants she is buying to be at least 73 inches.She has selected three plants that are 70,71,and 72 inches tall. Write and solve an inequality that Millie could use to determine the possible heights of her fourth plant

Answers

(70+71+72+x)/4 is greater than or equal to 73

the average is all of the plants divided by the number of plants, which is 4. we don't know what the other plant has to be, so it is called x. The average has to be at least 73, so greater than or equal to 73
add them up to get (213 + x)/4 is greater than or equal to 73. then divide 213 and x separately by 4 to get 1/4x + 53.25 is greater than or equal to 73. subtract 53.25 from both sides to get 1/4x is greater than or equal to 19.75 then divide both sides by 1/4 to get x is greater than or equal to 79

Which values make this equation true?
(5x^7 y^2)(-4x^4 y^5)=-20x^a y^b

A.) a=11, b=7
B.) a=11, b=10
C.) a=28, b=7
D.) a=28, b=10

Answers

When multiplying terms with exponents, just add the exponents together.


You have x^7 and x^4, so 7 +4 = 11

Y^2 and Y^5 = 2+5 = 7

so it would be -20x^11 y^7


The answer is A.) a=11, b=7

Solve for y.
50/90-y=5/18

Answers

Answer:

y = 5/18

Step-by-step explanation:

50/90-y=5/18

Lets simplify our fractions

50/90 = 5/9  (divide top and bottom by 10)

5/9 - y = 5/18

Subtract 5/9 from each side

5/9 -5/9 -y = 5/18 - 5/9

-y = 5/18 - 5/9

We need to get a common denominator of 18

-y = 5/18 - 5/9 *2/2

-y = 5/18 -10/18

-y = -5/18

Multiply each side by -1

-1*-y = -5/18 * -1

y = 5/18


kristin spent &131 on shirts. Fancy shorts cost $28 and plain shorts cost $15. if she bought a total of 7 then how many of each kind did she buy?

Answers

Answer:

3 fancy shorts

4 plain

Step-by-step explanation:


By setting up equations for the total cost and the number of shorts purchased, we find that Kristin bought 2 fancy shorts at $28 each and 5 plain shorts at $15 each.

To solve the problem, let's denote the number of fancy shorts Kristin bought as F and the number of plain shorts as P. The problem gives us two conditions: Kristin spent a total of $131 on shorts, and she bought a total of 7 shorts. Fancy shorts cost $28 each, and plain shorts cost $15 each.

Now, we can set up two equations based on this information:

For the total cost: 28F + 15P = 131 (1)For the total number of shorts: F + P = 7 (2)

Using equation (2), we can express P as P = 7 - F and substitute this into equation (1) to solve for F:

28F + 15(7 - F) = 131

Simplify the equation:

28F + 105 - 15F = 131

13F = 26

F = 2

Now that we have the value for F, we can use it to find P:

P = 7 - F

P = 7 - 2

P = 5

Kristin bought 2 fancy shorts and 5 plain shorts.

Factor the expression over the complex numbers.

x2+25

Answers

[tex]Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\------------------------\\\\x^2+25=x^2+5^2=x^2-(-5^2)=x^2-(5i)^2\\\\\boxed{x^2+25=(x-5i)(x+5i)}[/tex]

Quincy is trying to estimate the height of a tree in his backyard. He measures the tree’s shadow as 12 ft. He stands near the tree and measures his own shadow as 3 ft. Quincy knows that he is about 5 ft tall. He estimates the height of the tree by following these steps

Answers

Answer:

The tree is 20 ft tall.

Step-by-step explanation:

We can use ratio's to solve this problem.   Take the height of the object over the shadow length.


5 ft                  x ft

----------- = ----------------

3ft                  12 ft


Using cross products

5*12 = 3*x

60 = 3x

Divide by 3 on each side

60/3 = 3x/3

20 =x

The tree is 20 ft tall.

sasha is reading a novel wth 427 pages. she has read 276 pages. what percentage has she read?

Answers

Final answer:

Sasha has read approximately 64.66% of the novel by dividing the number of pages she read (276) by the total number of pages (427), and then multiplying the result by 100.

Explanation:

To find out what percentage of the novel Sasha has read, we need to use the formula for percentage:
Percentage = (Part / Whole) × 100

Sasha has read 276 pages of a 427-page novel. So, in this case, the part is 276, and the whole is 427.

Now we calculate:

Divide the number of pages read by the total number of pages: 276 / 427.Multiply the result by 100 to get the percentage: (276 / 427) × 100.

Let's do the math:

276 divided by 427 is approximately 0.6466.Multiplying 0.6466 by 100 gives us approximately 64.66%.

Therefore, Sasha has read about 64.66% of the novel.

What is the value of x?

Answers

Answer:

The value of x is 68 degrees!

Step-by-step explanation:

In this question, we have an isosceles triangle because of Base Angles Theorem. The 2 sides are congruent, which means its an isosceles and that the Base angles are congruent. So far, we know that 2 angles are equal to 112 degrees. Due to Sum Angles Theorem, we can go 180-112 to get 68 degrees!

Answer:

x=68

Step-by-step explanation:

Since this is an isosceles triangle, the bottom two angles are the same value, 56 degrees.  The three angles of a triangle add to 180 degrees.

56+56+ x = 180

Combine like terms

112 +x = 180

Subtract 112 from each side

112-122 +x = 180 -112

x =68

What’s the area of this rounded to the nearest one’s place?

Answers

Answer:

I think I might be terribly wrong but 160,728 ft

Step-by-step explanation:


Answer:

503

Step-by-step explanation:

To find the area of a cirlce it is pi x 2 x the radius squared.

Since,this is a semi-circle you dived by 2 afterwards.

So [tex]\pi x 160 x 2 /2[/tex] is 502.857142857

Round that to the nearest one that is 503 ft squared.

The expression 50w+400 represents the amount of money Jenny has in her savings account after an unknown number of weeks. How much money does Jenny originally have in her savings account? Which part of the equation represents the amount of money she will put away each week? Explain your answers.

Answers

Answer:

400 originally, and 50 dollars a week from there!!

Step-by-step explanation:

Since the 50 is followed by the variable "w", and the w stands for week, we can believe that Jenny makes 50 dollars a week.

Because the 400 was in the her account to begin with, we know this is the amount she originally had!

which describes the angle measures of an equilateral triangle?

A) 30*,30*,30*
B) 60*,60*,60*
C) 90*,90*,90*

Answers

Answer:

B

Step-by-step explanation:

All sides have to be equal and add up to be 180 degrees therefore the answer would be 60 because 60 plus 60 plus 60 is 180.

Answer:

B

B is the only answer that adds to 180, the interior angle measures of a triangle.

Which table shows a proportional relationship?

Answers

the last table, I think.

Answer:

the answer is the last one

Step-by-step explanation:

i drew all the example and i would say that the last one came out having a proportional relationship.

tell me if i got it right!

makito answered 70 pecent of 30 test quedtions correctly how many questions did he answer correctly

Answers

Answer:

21

Step-by-step explanation:


The coordinates of point b

Answers

Answer:

(3, -1)  PLEASE GIVE BRAINLIEST

Step-by-step explanation:


3, -1




Give brainliest to the other person, they’re asking for it :)

Can someone help me with this sat question

Answers

This question is called a system. You should make it where the X or Y is opposite to the other. So, I will multiply the entire first equation by -3 and make it -3x-3y=0. Then, add this and the second equation together.

You should now have -5y=10. divide by -5. y=-2. Now, plug y in to find x.

x should equal 2. This means that your answer is B, (2,-2).

Answer:

2,-2

Step-by-step explanation:

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These foods also contain water and fiber, which provide additional benefits. Foods like lettuce, carrots, strawberries, beans, and broccoli can help improve skin, muscle, and digestive health. Studies also link fruits and vegetables to decreases in potential heart disease and cancers. Of course, these benefits come at a price. Freshly grown produce is more expensive to bring to the shelves than many ready-made snacks and meals. It also has a much shorter shelf life and therefore must be consumed quickly making it an unattractive choice for people who have little time to plan out their meals. Unfortunately, these downfalls often cause people to pass up the produce in favor of less healthy alternatives. Even so, it is recommended that people attempt to get produce on their plates at least once per meal. Whether it is as simple as a handful of berries on cereal, a side salad with pizza, or lettuce and tomato on a burger, produce can bring an otherwise subpar plate a much-needed jolt of nutrition. Clearly, eating nutrient rich foods from the produce section is an essential part of maintaining a healthy lifestyle and can hold promising benefits for humans. What is the connotative meaning of the word promising in the passage?A.Its suggests that the promises of researchers are often misleading and untrustworthyB.It suggests that the author has some doubts as to whether any benefits exist at allC.It suggests that the author is hopeful that produce will, indeed, yield health benefitsD.It suggests that the author is critical of the accuracy of the scientific research that has been conducted and whether it is full of empty promises. According to the article, what is one of the downfalls of fresh produce? A.It is extremely rare to find in natureB.It is too difficult for most people to prepareC.It is more expensive than more convenient, less healthy choicesD.It is linked to heart diseaseWhat is the purpose of the article?A.To show the tremendous expense associated with produceB.To inform the public of the benefits of eating fresh fruits and vegetablesC.To warn people of the dangers of a diet filled with highly processed foods and GMOsD.To remind people to finish freshly purchased produce before it has a chance to go bad Steam Workshop Downloader