Answer:
1 light year \approx 6.02 \times 10^4 astronomical unit
Step-by-step explanation:
ratio
[tex]=\frac{9.5 \times 10^{12}}{1.5 \times 10^8}\\=\frac{19}{3} \times 10^{12-8}\\\approx 6.01666 \times 10^4 \\\approx 6.02 \times 10^4[/tex]
The number of times that 1 light year is greater than 1 astronomical unit in scientific notification is; 6.33 × 10⁴
We are given;
1 light year = 9.5 × 10^(12) km
1 astronomical unit = 1.5 × 10^(8) km
Thus to find out how many times greater 1 light year is than 1 astronomical unit in scientific notation, we will divide 1 light year by 1 astronomical unit.
This gives;
(9.5 × 10^(12))/(1.5 × 10^(8))
>> (9.5/1.5) × 10^(12 - 8)
>> 6.33 × 10⁴
Read more about scientific notation at; https://brainly.com/question/5565320
The ratio of boys to girls at Compton is 5:6. If there
are 384 girls, how many boys are there at Compton?
Answer:
Step-by-step explanation:
5:6
6=384
5=
5×384÷6=320
Boys =302
PLEASE HELP ASAP Hi! Please help me guys!!! This is difficult for me.. :c ~Why might a solution to an inequality not be reasonable? Give an example or a counterexample. Thanks! (I'll give brainly!!)
Answer:
When the solution is negative
Step-by-step explanation:
One example, let's say you are buying pens and each pen cost 3 dollars and you cannot spend more than 15 dollars, how many pens can you buy?
The inequality would be 3x < 15, so any negative solution is not reasonable because you cannot buy negative pens. The same goes for most real-world problems dealing with time, money, or distance.
5х - 7 = 6x - 3
What is the answer/steps?
Steps to solve:
5x - 7 = 6x - 3
~Add 7 to both sides
5x = 6x + 4
~Subtract 6x to both sides
-x = 4
~Divide -1 to both sides
x = -4
Best of Luck!
A lawyer has an annual income of $142,500. The income tax she has to pay is 15%. What is the amount of income tax in dollars and cents that the lawyer has to pay?
Answer:
21,375
Step-by-step explanation:
142,500 multiplied by 15 % is your answer. at least I hope
True or False: To multiply fractions, you must have common denominators.
Answer:
False.
Step-by-step explanation:
You don't need common denominators to multiply fractions. You can multiply both the numerator and denominator of each fraction normally.
Simple interest is given by the formula A = P + Prt. Where A is the balance of the
account after t years, and P is the starting principal invested at an annual percentage rate
of r, expressed as a decimal.
Noah is investing money into a savings account that pays 3% simple interest, and plans
to leave it there for 10 years. Determine what Noah needs to deposit now in order to
have a balance of $20,000 in his savings account after 10 years.
Noah will have to invest $
now in order to have a balance of
$20,000 in his savings account after 10 years. Round your answer to the nearest dollar.
Answer:
$10,679
Step-by-step explanation:
Answer:
$645.20
Step-by-step explanation:
simplify each expression.
1:4+6(8)
2:2.7+3.6×4.5
3:17-[(3+2)×2]
4:4×3^2+2
5:6×(3+2)÷15
6:40÷5(2)
Answer:
1. 80
2. 18.9
3. 7
4. 146
5. 2
6. 4
Step-by-step explanation:
1. 6+4=10
10×8=80
2. 3.6×4.5= 16.2
16.2+2.7= 18.9
3. 3+2=5
5×2= 10
17-10=7
4. 4×3=12^2
12×12=144
144+2= 146
5. 3+2=5
5×6=30
30÷15=2
6. 5×2= 10
40÷10=4
Slope:-2;y intercept: 3
Answer:
y = -2x + 3
Step-by-step explanation:
Hope this helps!
Show work answer quick will give thank you's etc.
Answer:
f(3) = -11
Step-by-step explanation:
f(3) means you sub the value that is inside into x
f(3) = -3(3) - 2
= -9 - 2
= -11
1 sack of flour contains 18 cups. It takes 3 cups of flour to make a batch of cookies. How many batches of cookies can you make with TWO sacks of flour? Identifiey the lead coefficient and the constant term of the following.
Answer:
12
Step-by-step explanation:
18x2=36
36/3=12
Solve the equation for the variable.
[tex] \frac{1}{4} x - 2 = - 6 + \frac{5}{12} x[/tex]
x = [?]
can someone explain to me what's a perfect square???? and how to solve them
in in math in mathematics a square number or a perfect square is an integer of a square integer
Captionless Image
(1/3,0)
(0,-2)
(0, 1/3)
(-2,0)
Answer:
not getting your question
Question 3
(-4)² =
How can I solve this
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {( - 4)}^{2} }[/tex]
[tex] \longrightarrow{ \sf{( - 4) \times ( - 4)}}[/tex]
Multiplying or dividing a negative integer by a negative integer gives a positive integer.
[tex] \longrightarrow{ \sf{16}}[/tex]
Hope I helped!
Best regards! :D
Puzzle 1 - Distributive Property Directions: Rewrite the expression 24x - 12 using the distributive property? Find eight equivalent expressions.
Answer:
2 (6 + 6)
Step-by-step explanation:
2 (6 + 6) is an expression.
Answer:
The answer would 6.5
Step-by-step explanation:
Because when you use the dirstibutive property thats what the total is
Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
-4x^2 + 2x – 5(1 + x)
Answer:
the answer is -4x^2-3x-5
what are congruent angles written as?
Answer:
Congruent angles are two or more angles that have the same measure. In simple words, they have the same number of degrees. It's important to note that the length of the angles' edges or the direction of the angles has no effect on their congruency. As long as their measure is equal, the angles are considered congruent.
Step-by-step explanation:
hope this helps!
Answer:
Look at the attachment below: that is the congruence symbol.
Suppose you want to write Angle A is congruent to Angle B, then you would write it like this :
∠A ≅ ∠B
Or if you want to write Angle F is congruent to Angle Y, then you would write it like this:
∠F≅∠Y
Hope this helps!
Write an equation slope-intercept form of each line described. SLOPE 2, Y INTERCEPT 3
SLOPE 3, Y INTERCEPT -7
The goal of solving an equation is to find the value of the _______. *
Answer:
Unknown
Step-by-step explanation:
at a dog shelter a, 26-pound bag of dog food will feed 40 dogs. how many dogs would you expect to feed with a 13-pound bag dog food? input only whole number
Answer:
26÷13=2
13 is half of 26
40÷2=20
13 pound bag of dog food will feed 20 dogs.
wut is the answer of 4-1/3x=8 step by step
Answer:
[tex]\frac{4-1}{3x}=8/3x\\ 4-1=24x\\24x=3/24\\x=\frac{1}{8}[/tex]
Step-by-step explanation:
What are the solutions to the equation below?
x to the power of 2 minus 3 x minus 10 equal 18
Answer:
If I understand correctly your question:
X to 1st power = -4, x to 2nd power= 7
Step-by-step explanation:
Solve for x. Make sure to show all your work. 21=3(x+6)
Answer:
1 is correct answer
Step-by-step explanation:
[tex]21 = 3(x + 6) \\ 21 = 3x + 18 \\ 21 - 18 = 3x \\ 3 = 3x \\ x = \frac{3}{3} \\ x = 1[/tex]
hope it helped you:)
What is the solution to the equation 6x+2-9-1?
X--3
X-1
X-1
X-3
Step-by-step explanation:
6x+2-9-1=0
6x+2-10=0
6x-8=0
6x=8
x=8/6
x=1.3
Elizabeth started a chess club in her school. In the first week she recruited two members for the club. From the second week, each new member recruited in the previous week recruited two new members each. How many members are there in the club after 7 weeks including Elizabeth?
Answer:
i saw my name but i think the anwerser i the third one
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Enter the number in scientific notation. 9,140,000
Step-by-step explanation:
[tex] \huge \: 9,140,000 = 9.14 \times {10}^{6} [/tex]
How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?
Answer:
2 integers (2 and -2)Step-by-step explanation:
Given the inequality (x²– 4)(x² – 10) < 0, we are to find the number of integers that satisfies the inequality
From (x²– 4)(x² – 10) < 0, (x²– 4)< 0 and (x² – 10) < 0
For (x²– 4)< 0;
x²<4
take the square root of both sides;
√x²<√4
x < ±2
x<2 and x<-2
Similarly for (x²– 10)< 0;
x²<10
take the square root of both sides;
√x²<±√10
x < ±√10
x<√10 and x<-√10
Note that √10 is not an integer but an irrational number. An integer should be a negative or positive whole number. Therefore the amount of integers that satisfies the equation is 2 i.e 2 and -2
Answer:
B - 2
Step-by-step explanation:
Edg2020
Answer 7+3(2g-6)=-29
Answer:
g = -3
Step-by-step explanation:
Distribute the 3
[tex]7+(6g-18)=-29[/tex]
Simplify
[tex]6g - 11 = -29[/tex]
Add 11 to both sides
[tex]6g = -18[/tex]
Divide by 6 on both sides
[tex]g= -3[/tex]
Use a number line to add the following: 14 + (-11)
Add.
Adding a negative number is the same as subtracting a positive number.
14 + (-11) = 14 - 11
We start at the point 14 on a number line.
Since we are subtracting, we are going to left -11 units on the number line.
We will land on the point "3"
Best of Luck!
A car travels at a constant speed of 30.0 m/s for 0.8 hr. Find the total distance traveled in km
Answer:
0.8 hr = 0.8*3600 seconds = 2880 seconds
d = 30*2880 meters = 8640 meters
d = 8.64 km
Step-by-step explanation:
hope this helps
The total distance traveled in km is 86.4 km
From the question,
We are to determine the total distance traveled in km.
First, we will determine the distance traveled in m.
Distance traveled can be calculated using the formula
Distance = Speed × Time
From the given information,
Speed = 30.0 m/s
Time = 0.8 hr = 0.8 × 60 × 60 s
Time = 2880 s
Putting the parameters into the formula, we get
Distance = 30.0 × 2880
Distance = 86400 m
Now, we will convert from meters (m) to kilometers (km)
NOTE: 1000 m = 1km
If 1000 m = 1km
Then,
86400 m will be [tex]\frac{86400}{1000}[/tex] km
[tex]\frac{86400}{1000} =[/tex] 86.4 km
Hence, the total distance traveled in km is 86.4 km
Learn more on calculating distance here: https://brainly.com/question/11934786