Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per n seconds
- Need to solve for n
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
[tex]\frac{1.86 * 10^5}{1}[/tex] = [tex]\frac{5.062 * 10^1^3}{n}[/tex]
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
n × (1.86 × 10^5) = 5.062 × 10^13
4. Solve for n by isolating the variable and dividing.
[tex]\frac{n (1.86 * 10^5)}{1.86 * 10^5}[/tex] = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = 2.72 × 10^8 (Make sure to include the unit, seconds)
The number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.
We need to find out how many seconds it takes light to travel from Sirius to Earth.
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Let the number of seconds it takes light to travel from Sirius to Earth be n seconds
Now, the proportion=[tex]\frac{1.86\times10^{5}}{1} =\frac{5.062\times10^{13}}{n}[/tex]
⇒[tex]n=\frac{5.062\times10^{13}}{1.86\times10^{5}}[/tex]
⇒[tex]n=2.72\times10^{13-5}=2.72\times10^{8}[/tex]
Therefore, the number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
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Is this true or false? 0 < -2
Answer:
this is false
Step-by-step explanation:
-2 is accually greater than 2
so, for this to be correct it would have to be:
[tex]0 > - 2[/tex]
Put these numbers in order from least to greatest.
3 4/5 3 3/4 3.5
Answer:
3/4, 4/5, 3, 3, 3.5
Answer:
3.5,3 3/4,3 4/5
Step-by-step explanation:
7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy
Express 236% as a mixed number in simplest form
Answer:
2[tex]\frac{9}{25}[/tex]
Step-by-step explanation:
The sum of two times a number (x) is less than 19
Answer:
ANSWER
Let one number = x
other number = 2x-3
(x+2x−3)+7=37
3x = 33
x = 11
∴ The two number are 11 and 19
please help I'm literally about to cry I just need the answers
Answer:
a. han did not divide -10x by 4
b. y intercept:5, x intercept:2
Step-by-step explanation:x
reason for b: you can graph y=-[tex]\frac{5}{2}[/tex]x+5 to get the y and x intercept
Michael's car can travel 25 miles on one gallon of gas. The cost of gas is $3.75 per gallon. Which equation could calculate the total cost of gas, y, based on the number of miles traveled, x
Can anybody help meeeeeeeeeeee
Answer:
yeah I Wii help you to your problem
Answer:
ok ques
Step-by-step explanation:
What is the sum of ? × ? + ? =297
Answer:
145 x 2 + 7 = 297
- I hope this helps have a great night!
Answer:
297 is the sum.
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297 are the solutions to the "?"
Step-by-step explanation:
Well, the sum of a number is the answer of something when doing addition, so technically, this is already revealed.
If you meant what numbers the question marks represent, then this could be a number of answers. However, the easiest solutions would be:
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297
Hope this helps! :)
Plz help with question
Answer:
1
Step-by-step explanation:
in an equilateral triangle all the sides are equal
Guys please help me with this?!
Answer:
X = 41
y = 7.22
Step-by-step explanation:
help pls my math teacher is rude
Answer:
2.25 or 2 1/4 pounds
Step-by-step explanation:
if you add them all up (I converted them to decimals when adding) you get 13.5 or 13 1/2 if your using fractions, then you divide that by 6 because thats how many jars there are and you get 2.25 or 2 1/4
Right triangle FGH has midsegments of 15,36, and 39 centimeters given that area of a triangle is represented by the formula A=1/2bh determine the area of triangle FGH
A.180cm2
B.1080cm2
C.1170cm2
D.2160cm2
Answer:
Step-by-step explanation:
according to the midsegment theorem, a midsegment of a triangle is parallel to a side of a triangle and its length is 1/2 length of the side.
1/2FG= 15, SO FG=30,
1/2 GH=36 SO GH=72
AREA = 1/2(72*30)=1080 CM^2
Answer:
1/2(72*30)=1080 CM^2
Step-by-step explanation:
don't rember how i got it, just remeber having this question on my work.
Help please. Thank you.
Answer:
Look at m H it’s a right triangle 90°
Step-by-step explanation:
The equation Y= -8x + 1,000
Answer:
-8
Step-by-step explanation:
search up this website for the steps:
symbolab is the website
Answer:
That is a false equation
Step-by-step explanation:
The negative can't coninspire with the final result. There is no answer It is invalid. Your in collage. Lay off the parties and learn the basic functions of math
7.8
7.2
7.99
7.141 greatest to least ?
in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.
7.990, 7.800, 7.200, 7.141.
HELP PLS DUE IN 10 MIN PLS
Samuel orders four DVDs from an online music store. Each DVD costs $9.91. He has a 25% discount code,
and sales tax is 6.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of Samuel's order is sl
Answer:
The total cost is $32.40
Step-by-step explanation:
9.91 x 4 = 39.64
25% of 39.64 is 9.91
39.64 - 9.91 = 29.73
6.75% of 39.64 is 2.67
29.73 + 2.67 = 32.40
In the accompanying diagram of ABC, AB = 6, BC = 8, and AC = 12. Points X, Y, and Z are midpoints of AB, BC, and AC, respectively. Find the perimeter of quadrilateral XYCZ.
Answer:
cb
Step-by-step explanation:
solve y (1/2)y+6=(3/4)y–4
Answer:
Y = 40
Step-by-step explanation:
Change 1/2 to 2/4
2/4 y + 6 = 3/4y - 4
subtract 2/4y
6 = 1/4y -4
add 4
10 = 1/4y
multiply by 4 to get fraction to 1y or y
y = 40
4x + y = 0
y-intercept
Submit
how do i solve
- 4 - 4x = -8
Answer:
x=1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
I hope this helps. In this case -4+-4x is -8 so then u know it's 1 because 2 negatives equals a negative and 4+4 is 8 all I did was change change the subtraction to addition if that make sense khan academy has some good video on integers.
What is this! I will mark u as branilyst
Solve for y: 18x + 3y = 24
Answer: y=8-6x
Step-by-step explanation:
A meteorologist predicted that there would be 1.0 inches of rainfall from a storm. Instead, there were 2.2 inches of rainfall. Which statements are true?
a
The prediction was off 35%
b
The percent error of the prediction was about 55%.
c
If the percent error should be less than 20%, the prediction was acceptable.
d
The difference between the predicted and the actual rainfall was 1.2 inches
Answer:
pls write the question clearly
Step-by-step explanation:
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The statements that is true: B. The percent error of the prediction was about 55%.
D. Difference between the predicted and actual rainfall was 1.2 inches.
What is the percentage error?Percentage error can be calculated using this formula;
Percentage error = Actual value observed - Expected value /Expected value
The Percentage error is;
= 2.2 - 1.0 / 2.2
Percentage error = 1.2 /2.2
Percentage error = 0.545 × 100
Percentage error = 55% (Approximately)
Since Difference between the predicted and actual rainfall;
Difference = Actual rainfall - Predicted rainfall
Difference = 2.2 -1.2
Difference = 1.2 inches.
Hence the correct statement is option B and D.
Learn more about percentage error;
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1) In the given ABC; AB = BC and BD =
BC and BD = CD. Find the value
of a°, bº and cº.
Answer:
a = b = c = 45°
Step-by-step explanation:
[tex]In\: \triangle BDC, \\\\
BD = CD.... (given) \\\\
\therefore m\angle DBC =m\angle DCB\\(By\: isosceles \:\triangle\: property) \\
\therefore a\degree = b\degree.... (1)\\\\
m\angle BDC= 90\degree \\\\
\because m\angle BDC + a\degree + b\degree=180\degree \\\\
90\degree+ a\degree + a\degree=180\degree\\ [from \: equation \: (1)]\\\\
2a\degree=180\degree -90\degree\\
2a\degree= 90\degree\\\\
\therefore a\degree=\frac{ 90\degree}{2} \\\\
\huge\purple {\boxed {\therefore a\degree=45\degree}} \\\\
\implies \huge\red {\boxed { b\degree=45\degree}} \\\\
In\: \triangle ABC, \\\\
AB = BC.... (given) \\\\
\therefore m\angle BAC =m\angle BCA\\(By\: isosceles \:\triangle\: property) \\
\therefore c\degree = b\degree\\\\
\because b\degree=45\degree \\\\
\implies \huge\orange {\boxed { b\degree=45\degree}} [[/tex]
Five more than three times a number is 131. Find the number.
Sheila can pay her hotel bill in Euros (€) or Pounds (£).
The bill was €425 or £365 when the exchange rate was £1 = €1.14.
In which currency was the bill cheaper?
Show all your working.
Answer:
£365 is cheaper than €425.
Step-by-step explanation:
We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.
€425 or £365
£365 = €(365 * 1.14)
£365 = €416.10
€425 > €416.10
£365 is cheaper than €425.
can you show me how to work out the problem
Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merlot is $400, and profit per acre of Cabernet is $300. The number of hours of labor available is 3200. Each acre of Merlot requires 20 hr of labor, and each acre of Cabernet requires 10 hr of labor. Determine how the land should be divided between Merlot and Cabernet in order to maximize profit.
Jennifer needs 3 cups of sugar, 4 cups of flour, and one cup of brown sugar for a recipe she is making.
What is the ratio of brown sugar to sugar?
Answer:
the ratio is 1:3 for brown sugar to sugar