Answer:
0.333 < 1.03
Step-by-step explanation:
1.03 is greater than 0.333.
In fraction form, 1.03 is [tex]1\frac{3}{100}[/tex].
While 0.333 is [tex]\frac{33}{100}[/tex], which is a third of 1.
Therefore, 0.333 < 1.03.
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds? (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)
9514 1404 393
Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The quantity is found by multiplying the rate by the time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The least-precise contributor to the calculation has 2 significant digits, so we need to round the result to 2 significant digits.
__
B) A fine human hair is more than 40×10^-3 mm in diameter, so the distance 1.435×10^-3 mm is completely unreasonable for railroad track spacing. The space between rails is closer to 1.4 meters. So 1.435×10^3 mm is a better measurement.
Maria made 143 for 11 hours of work. At the same rate, how much would she make for 7 hours of work?
Answer:
She would make 91
Step-by-step explanation:
By which rule are these triangles congruent?
Answer:
S, S, S
Step-by-step explanation:
What are the terms in the expression 2d + 7 + 5f?
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answer: 2d, 7, and 5f
Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."
Let r = .05 be the reserve rate. Which of the following is the money multiplier?
Answer:
1/0.05
Step-by-step explanation:
The formula for the money multiplier is :
1/ Reserve rate
If is wrong i'm sorry
Answer:
1/0.05
Step-by-step explanation:
Just did test
******Please help me help please help me ******
9514 1404 393
Answer:
y = 8
Step-by-step explanation:
If the variation is direct, any multiplier of the x-value will also multiply the y-value.
old value × -1 = new value
x: 4 × -1 = -4
y: -8 × -1 = 8
The new value of y is 8.
HELP PLSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
I need help in that too :(
Answer:
1 true
2true
3 false
4 false
Step-by-step explanation:
PLEASE HELP
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
B. Anna's route is about the same length as Alex's route, but he will get home first because he is driving.
C. Alex's route is about the same length as Anna's route, but his stop for pizza allows Anna to get home about 30 minutes
before him
D. Alex's route is about 4 miles longer than Anna's route, but his stop for pizza allows Anna to get home just minutes before him
Answer:
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
Step-by-step explanation:
Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths
how to solve 700/2,5 with steps please
Henry draws triangle FGH. Then, he translates that triangle to create triangle F'G'H'. The distance from F to F' is 4 centimeters. What is the length of sides GG'? a. 2 cm b. 3 cm c. 4 cm d. 6 cm
The length of sides GG' when the distance from FF' is 4 cm is also 4 cm.
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
When you perform translations, you slide a figure left or right, up or down. This means that, in the coordinate plane, the coordinates for the vertices of the figure will change.
It is given that Henry translates the ΔFGH to create ΔF'G'H'.
FF' = 4cm.
Translation is a rigid transformation. In translation, every point of the object must be moved by same distance and in the same direction.
In other words the distance between corresponding points are same.
GG' =?
Since G and G' are corresponding points, so
GG' = FF'
GG' = 4 cm
The length of GG' is 4 centimeters.
Hence, When the distance from FF' is 4 cm, the length of sides GG' is similarly 4 cm. so option C is the correct answer.
To learn more about Translation
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What is P55 ? 5 25 1 120
Answer:
120
Step-by-step explanation:
I took the test
HELP MME WITH THIS PLEASE
Answer:
0.84
Step-by-step explanation:
21/25 is equal to 0.84.
Hopefully this helps!
Brainliest please?
A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1
Answer:
3
Step-by-step explanation:
27300 * (1-6.1%)^n = 22100,
n∈(3,4)
when n = 3,≈22603;
when n = 4,≈21224;
so choose n = 3.
Therefore, it takes car to depreciate to this amount is [tex]3[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].
So, the equation is
[tex]27300(1-6.1)^n=22100\\\\[/tex]
when [tex]n[/tex] belongs to [tex](3,4)[/tex]
when [tex]n=3\\[/tex]
The equation would be
[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]
When
[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]
So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].
Hence, it takes car to depreciate to this amount is [tex]3[/tex].
To know more about the simplification
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Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.
Answer:
Alonso can use 2.1 gigabytes while staying within his budget.
Step-by-step explanation:
53.50 + 3x = 59.80
3x = 59.80 - 53.50
3x = 6.3
x = 6.3 ÷ 3
x = 2.1
Alonso can use 2.1 gigabytes while staying within his budget.
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?
The number of order of each aircraft is an illustration of simultaneous equations.
You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
To do this, we make use of the following representations:
A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9sFrom the question, we have the following equations
[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers
[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes
[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget
Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]
[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]
[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]
[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]
[tex]\mathbf{435B + 405C = 5850}[/tex]
Divide through by 15
[tex]\mathbf{29B + 27C = 390}[/tex]
Make C the subject
[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]
[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]
[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]
[tex]\mathbf{325B + 365C =4950 }[/tex]
Divide through by 5
[tex]\mathbf{65B + 73C =990}[/tex]
Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]
Multiply through by 27
[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]
[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]
Collect like terms
[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]
[tex]\mathbf{-362B =-1740}[/tex]
Solve for B
[tex]\mathbf{B =\frac{1740}{362}}[/tex]
[tex]\mathbf{B =5}[/tex] --- approximated
Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]
[tex]\mathbf{C = \frac{245}{27}}}[/tex]
[tex]\mathbf{C = 9}[/tex] --- approximated
Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
So, we have:
[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]
[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]
[tex]\mathbf{A = 7}[/tex]
Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
Read more about simultaneous equations at:
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Select the correct answer.
24c^6 - 32c^4
Which expression is equivalent to
8c^3 ? Assume that the denominator does not equal zero.
Answer:
B: [tex]c(3c^2-4)[/tex]
Step-by-step explanation:
1. Substitute [tex]1[/tex] for c: [tex](24^6-32^4)/(8^3)[/tex]
2. Solve substitution: [tex]-1[/tex]
3. Compare [tex]-1[/tex] to calculated answers when [tex]c=1[/tex]
4. [tex]c(3c^2-4)[/tex] when [tex]c=1[/tex] is [tex]-1[/tex]
VWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40
This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]
Good luck
What’s the equation of the horizontal asymptote
By inspection, the equation for the horizontal asymptote is y = -3.
Which of the following equations represent linear functions?
Answer:
a
Step-by-step explanation:
a linear function have a shape of y=ax+b
y=8x-3 is linear where a=8 and b=-3
Answer: y = 4(2x) - 3
Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.
one number is 6 more than the other number. also, 7 times the smaller number is equal to 6 times the larger number. find the two numbers.
Answer:
x = 36; y = 42
Step-by-step explanation:
x+6 = y
7x = 6y
7x = 6(x+6)
7x = 6x+36
-6x -6x
x = 36
_________
y = 36+6
y = 42
_________
8+4 =17+5
identify and explain the error made by the leaner
Answer:
let the value of x
Step-by-step explanation:
x=8+4=17+5
x=12=22x=22/12
x=1.8334
Ordering numbers with positive exponents
Order the expressions by choosing >, <, or = .
Answer:
1 >
2 <
3 >
Step-by-step explanation:
I think so sorry if wrong :(
Which expression is equivalent to -19-11?
Answer:
uh lol can i get sum more context
Step-by-step explanation:
Louise had 425 marbles. She sold them in bags of 25. How many bags of
marbles did Louise have to sell? ?
Answer: 17 bags
Step-by-step explanation:
425/25= 17
PLEASE HELP - VERY EASY MATH AND EASY 18 POINTS.....
Suppose you have a choice to receive $100 per day or 1 cent on day one, 2 cents on day two, 4 cents to day 3 on so on...
a) In how many days will both options end up paying about the same amount in total?
Answer: JK ITS IMPOSSIBLE BOIIII yeah it is the pennies even with the 1 penny at the beginin dun work ive tried smashing calculator about this many times 2147483649 and it doesnt work out so yeah f
Answer: It's not possible
Step-by-step explanation:
please help.... fast
Answer:
Napakadali lang sagutin nyan pre basic mangiba naman dapat Ang sagot ay SAS hopefully all
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume
Answer:
3000000cm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
HELP HURRY SUBTRACTION
Answer:
408, 250, and 4055 hope this helps
Answer this math problem
[tex]\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155[/tex]
w=1[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495[/tex]
[tex]\\ \sf{:}\dashrightarrow 2+2495=2498[/tex]
Help marking brainliest for who is right
Answer:
-4,-3 2/3, -1 2/3, -1/2, 2/3, 5 1/2
Step-by-step explanation:
