9514 1404 393
Answer:
2.41×10^14 miles
Step-by-step explanation:
The distance usually associated with a light-year is about 6 trillion miles. More precisely, it is about 5.879×10^12 miles. Then 41 light-years is 41 times that distance, or ...
41 light-years = 41(5.879×10^12 miles) ≈ 2.41×10^14 miles
_____
You can figure the length of a light-year from the speed of light and the length of a year. The speed of light is about 186,282.4 miles per second. The number of seconds in a day is 86,400, and the number of days in a year averages 365.2425. Multiplying these values gets you to 5.878664e12 miles per year. The number used above is reasonable for most purposes. At astronomical distances, it is difficult to measure precisely.
0.05 is 1/10 value of what number
Answer:
1/2=x
0.5
Step-by-step explanation:
x will be the number
5/100=(1/10)x
5/10=x
1/2=x
1/2=0.5
A fish population, p, can be represented by the equation p = 800 . 1/2 where t is time in years since the beginning of 2015. What was the fish population at the beginning of 2012? A. 100 B. 800 C. 2,400 D. 6,400
Answer:
D. 6,400
Step-by-step explanation:
I got it right
The fish population at the beginning of 2012 is 100.
GivenA fish population, p, can be represented by the equation;
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]
Where t is time in years since the beginning of 2015.
How to determine the population at the beginning of 2012?The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.
The difference between year 2015 and 2012 is;
t = 2015 - 2012 = 3
Substitute the value of t in the equation
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]
Hence, the fish population at the beginning of 2012 is 100.
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The water level in a storage tank is 14 feet. Water
is released at a constant rate until the tank is
empty. The graph below shows the water level (y)
in the tank, as a function of time (x).
which of these equations represents the relationship between time and the water level?
A. Y= -2x+14
B. Y= -2x-14
C. Y= 2x +14
D. Y=2x-14
equations represent the relationship between time and the water level is A. Y= -2x+14
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, The water level in a storage tank is 14 feet. Water is released at a constant rate until the tank is empty. The graph below shows the water level (y) in the tank, as a function of time (x).
Since at strat x =0, the value of y = 14 and at end y=0 the value of x is 7 hours.
The slope-intercept form of the equation of a line
y=mx+b,
where m is the slope
b is the y-intercept(where x is 0)
since, slope = (y - y')/(x -x')
In our case,
m = (14 /-7
m = -2
and b = 14
thus,
equation of line will be:
y = -2x + 14
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I need help with this question.
|y + 4| < 1 solve
Answer:
-5<y<-3
Step-by-step explanation:
Which describes the graph of y=(x-5)^2 -4
Answer:
Use semi-log paper for plotting Y = log y instead of y against x.
The graph is the straight line Y = (log 2) x + log 5.
Explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.
Step-by-step explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y
Answer:
Opens up with a vertex at (5,-4)
Step-by-step explanation:
What’s the highest common multiple?
Answer:
HCF = 90
Step-by-Step explanation:
2 × 3⁴× 5 = 810
2³× 3²× 5²= 1800
Find the prime factorization of 810
810 = 2 × 3 × 3 × 3 × 3 × 5
Find the prime factorization of 1800
1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5
To find the HCF, multiply all the prime factors common to both numbers:
Therefore, HCF = 2 × 3 × 3 × 5
HCF = 90
Please just do whatever you can
Please help!! Will Mark brainliest!!
HELP PLSSS ASAPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:I think it’s 75
Step-by-step explanation:
A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
What number would go in the blank? (3 • 5) • 2 = 3• C • 2)
Answer:
its 5
Step-by-step explanation:
Lisa wants to glue decorative paper onto the block. What is the total surface area that Lisa would need to cover?
A community orchestra is losing money. They have always sold tickets for
$12, but they decide to increase the price by $3. For their next concert, they
sell 200 tickets at the increased price.
Select the expression representing the amount of money earned from ticket
sales.
Answer:
$3,000
Step-by-step explanation:
you add $3 to $12 and that's $15.so,know you multi..15 by 200.
Solve the inequality:
u^2 > 8u + 33
Answer:
u<−3 or u>11
Step-by-step explanation:
u2=8u+33
u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)
u2−8u−33=0
(u+3)(u−11)=0(Factor left side of equation)
u+3=0 or u−11=0(Set factors equal to 0)
u=−3 or u=11
which ordered pair is the solution to y=x+2/5
Answer: (2, 2 )
Step-by-step explanation:
Plug the x and y-values into the given equation. If it makes a true statement, then it is a solution.
y = x +
(0,0) → 0 = 0 + FALSE
(1, ) → = 1 + FALSE
(2, 2 ) → 2 = 2 + TRUE
Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW
X= -2
Explanation: the photos are in order :)
Answer:
x = -2
Step-by-step explanation:
3/5 +3/10x = 4/5 + 2/5x
Step 1. Change every fraction into the same denominator
6/10 + 3/10 x = 8/10 + 4/10x
Step 2. Subtract 3/10x
6/10 = 8/10 + 1/10x
Step 3. Subtract 8/10
-2/10 = 1/10x
x = -2
Two families go to the theatre the Smith family of three adults and four children pay £67 the Jones family of five adults and six children pay £106 work out the cost of an adult ticket and the cost of a child ticket in your working at a stand for an adult ticket and C stand for child ticket
Answer: adult = $11
Child = $8.5
Step-by-step explanation:
Let the cost of an adult ticket be a
Let the cost of child ticket be c.
From the question,
3a + 4c = $67 ....... i
5a + 6c = $106 ...... ii
Multiply equation I by 5
Multiply equation ii by 3
15a + 20c = $335
- 15a + 18c = $318
2c = $17
C = $17/2 = $8.5
Put the value of c into
3a + 4c = $67
3a + 4($8.5) = $67
3a + $34 = $67
3a = $67 - $34
3a = $33
a = $11
Cost of adult ticket = $11
cost of child ticket = $8.5
Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw
distance formula help
Answer:
[tex](0,-1)[/tex]
Step-by-step explanation:
[tex](x^{2} -x^{1} )(y^{2} -y^{1} )[/tex]- the formula
[tex](-1 - -1) = 0[/tex]
[tex](-8 - -7) =-1[/tex]
So, the answer is:
[tex](0,-1)[/tex]
or
[tex]0=-1[/tex]
^
this is the swiggly line
how do you factor p^2-5p-36
Your answer will be:
(p - 9) (p + 4) in factored form.
PLZ HELP List all the possible numbers of pennies that Gigi could have in order to have her pennies into rectangular array with more than one row or column and she has a remainder (in this case leftover pennies). Remember she must have between 10 and 30 pennies total.
Answer:
If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:
2 x 5 or 5 x 2 (10 pennies in total)2 x 6 or 6 x 2 (12 pennies in total)2 x 7 or 7 x 2 (14 pennies in total)2 x 8 or 8 x 2 (16 pennies in total)2 x 9 or 9 x 2 (18 pennies in total)2 x 10 or 10 x 2 (20 pennies in total)2 x 11 or 11 x 2 (22 pennies in total)2 x 12 or 12 x 2 (24 pennies in total)2 x 13 or 13 x 2 (26 pennies in total)2 x 14 or 14 x 2 (28 pennies in total)2 x 15 or 15 x 2 (30 pennies in total)3 x 4 or 4 x 3 (12 pennies in total)3 x 5 or 5 x 3 (15 pennies in total)3 x 6 or 6 x 3 (18 pennies in total) 3 x 7 or 7 x 3 (21 pennies in total)3 x 8 or 8 x 3 (24 pennies in total)3 x 9 or 9 x 3 (27 pennies in total)3 x 10 or 10 x 3 (30 pennies in total)4 x 4 (16 pennies in total)4 x 5 or 5 x 4 (20 pennies in total)4 x 6 or 6 x 4 (24 pennies in total)4 x 7 or 7 x 4 (28 pennies in total)5 x 5 (25 pennies in total)5 x 6 or 6 x 5 (30 pennies in total)Usually, when Elena makes bird food, she mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same.
Group of answer choices
3 cups of seeds and 5 tablespoons of syrup
2 cups of seeds and 3 tablespoons of syrup
5 cups of seeds and 2 tablespoons of syrup
3 cups of seeds and 2 tablespoons of syrup
MATH
6TH GRADE
GIVING AWAY FREE BRAINLIEST
Answer:
3 cups of seeds and 2 tablespoons of syrup
Step-by-step explanation:
Compare the ratios to the original one (9:6) see what is equal. In order, they are:
3:5
2:3
5:2
3:2
Look!
3:2 is equal to 9:6 because:
9 ÷ 3 = 3
and
6 ÷ 3 = 2
Hope this helped!
Answer:
thanks for the free points britt
Step-by-step explanation:
The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.
Answer:
The radius of the track is 32 meters
Step-by-step explanation:
Circumference
The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.
Given a circle of radius r, the circumference of the circle can be calculated as follows:
[tex]L=2\pi r[/tex]
If we already know the length of the circle, we can solve the above expression for r:
[tex]\displaystyle r=\frac{L}{2\pi}[/tex]
The distance given around a circular running track is L=200 m, thus:
[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]
Rounding to the nearest meter:
r= 32 meters
The radius of the track is 32 meters
1 1/6 ÷ 2 1/3 Multiplying and dividing mixed numbers
Answer:
7/6x3/7===21/42=== 1/2
Step-by-step explanation:
rachelle can walk 2.5 miles in 40 minutes. at this rate how far
can she walk in an hour
Answer:
She could walk 3.75 miles in an hour.
graph y=1/2x+2 please explain
Answer:
Step-by-step explanation:
y=1/2x+2
1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases
so the slope increase 1/2 +2
The graph of y=1/2x+2 is shown in figure below
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Given;
y=1/2x+2
Here, 1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases;
Hence, the slope increase 1/2 +2
The graph of the given function;
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If 2KL=KL+MN, then KL=MN
Choose the definition, theorem, or postulate that justifies the statement.
A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality
Answer:
a. subtraction property of equality
Step-by-step explanation:
I need help ASAP!!!!
Answer:
3x-x+2=4
Step-by-step explanation:
Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?
Answer:
5mph faster
Step-by-step explanation:
Kayla is going 48 mph because 144/3 is 48
Kendra is going 53mph because 224/4 is 53
53-48=5
8 miles/hour Kendra drives faster than Kayla.
Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.
We need to find out how much faster Kendra drive on average.
How to calculate the speed?The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Now, the speed of Kayla=144/3 = 48 miles/hour
The speed of Kendra=224/4 = 56 miles/hour
So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.
Therefore, 8 miles/hour Kendra drives faster than Kayla.
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An art museum had 275,760 visitors last year. The museum was open every day of the year except for 5 holidays. How many visitors did the museum have each day, on average?
Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766
Step-by-step explanation: