The answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
1)
Liam's mass is 102.1.
To represent the decimal number in approximation we need to multiply the first digit by power of 10 by moving the decimal place.
i.e., decimal number 102.1 can be written as :
= 1.02 × 10² kg
because decimal place moved towards left by 2 places.
or
= 1 × 10² kg
2)
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg.
This can be written as :
= 5.97 × 10^24
or
= 6 × 10^24 kg
3)
The earth's mass is larger than Liam's mass by :
= [tex]\frac{6 * 10^{24}}{1*10^{2} }[/tex]
= 6 × [tex]\frac{10^{24} }{10^{2} }[/tex]
= 6 × [tex]10^{22}[/tex]
Therefore , the answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
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After writing a check mike had -$34.50 in his account, he deposited $20.00 how much did he have now?
Answer:
-$14.50
Step-by-step explanation:
This is easily solved on a calculator.
-34.50 + 20.00 = -14.50
Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup rate of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?
Answer:
$18.00
Step-by-step explanation:
8 x 1.25 = 10
8 + 10 = 18
Justin wants to buy a new pair of Jean's. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will just have to pay for the jeans?
Answer:oyoyoyohkyhiibjgi
Step-by-step explanation:
ykhitrjhithihtrnht
8. The number of dandelions growing on your lawn triples every 3 days. If your lawn started out
with 15 dandelions, how many dandelions would you have after 3 weeks?
Answer:
There will be 32805 dandelions after 3 weeks
Step-by-step explanation:
To determine number of dandelions after 3 weeks
1 week = 7 days
∴ 3 weeks = 3 × 7 days = 21 days
Hence, we will determine the number of dandelions after 21 days.
From the question,
The number of dandelions growing on the lawn triples every 3 days and if the lawn started out with 15 dandelions,
Then, After 3 days, there will be 3 × 15 dandelions = 45 dandelions
After 6 days, there will be 3 × 45 dandelions = 135 dandelions
After 9 days, there will be 3 × 135 dandelions = 405 dandelions
After 12 days, there will be 3 × 405 dandelions = 1215 dandelions
After 15 days, there will be 3 × 1215 dandelions = 3645 dandelions
After 18 days, there will be 3 × 3645 dandelions = 10935 dandelions
After 21 days, there will be 3 × 10935 dandelions = 32805 dandelions
Hence, there will be 32805 dandelions after 3 weeks.
Trapezoid ABCD is similar to trapezoid EFGH which OF THE FOLLOWING PROPORTIONS MUST BE TRUE ?
I just need a walkthrough or step by step process on how to get it so i can understand :)
Answer:
The answer and explanation is located in the screenshot.
Step-by-step explanation:
Hope this helped! And have a wonderful day!
Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 
Answer:
Hope it will help you
Step-by-step explanation:
Option BJonathan can buy 33 games.
What is equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend
Let he can buy x games, then the equation will be,
0.75x+10 = 35
0.75x = 25
x = 100/3 ≈ 33
Hence, Jonathan can buy 33 games.
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How much is 50 dollars
Answer:
50 dollars
Step-by-step explanation:
) B. Communicate Precisely LaTanya wants to place
a lamp halfway between the chairs at points C
and D. How can you find the point where the
lamp should go?
C
Hi, you've asked an incomplete question. I attached the missing caption that completes the question.
Explanation:
By looking closely at the caption we notice there are measuring coordinates along the margin of the caption. To find the middle of the chairs, take note of the total coordinate distances between points C and D;
For the vertical axis, the distance is 4For the horizontal axis, the distance is 2Substracting both differences in distances we get 2 (4-2) so at point (10, 7) we find the middle or halfway between the chairs at points C and D.
PLEASE HELP!! Serious answers only please!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Step-by-step explanation:
Use the distributive property to get rid of the brackets.
9i + 2*7 + 2*3i Use the multiplication property to simplify the imaginary terms
9i + 2*3i + 2*7 Do the same to the real term
9i + 6i + 14 Use the addition of like terms property
15i + 14 And that's your answer.
You may not like my terminology, but you have to remember that every text teaches this differently.
what is the value of x in 6x=54
Answer:
x=9
Step-by-step explanation:
6(9)=54
-3x=2x+19 solve pls
Answer:
-19/5
Step-by-step explanation:
2x+3x+19=0
5x=-19
x=-19/5
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 2/3 and y-intercept at (0,-2)?
O A. y = 2/3 x - 2
O B. y = -2/3x + 2
O c. y = -2x - 2/3
O D. y = -2/3 = x - 2
Step-by-step explanation:
A,
because we can use the formula y=mx+c
How many 5-digit positive integers are there all of whose digits are even?
a) 500
b)2500
c)3125
d)12500
e) 45000
Answer:
45,000
Step-by-step explanation: There are 45,000 5 digit positive integers whose didgit-sum is odd.
-9x - 5y = 26
4x -4y = -24
Answer:
(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-9x - 5y = 26
4x - 4y = -24
Step 2: Rewrite systems
4x - 4y = -24
Add 4y to both sides: 4x = 4y - 24Divide 4 on both sides: x = y - 6Step 3: Redefine systems
-9x - 5y = 26
x = y - 6
Step 4: Solve for y
Substitution
Substitute in x: -9(y - 6) - 5y = 26Distribute -9: -9y + 54 - 5y = 26Combine like terms: -14y + 54 = 26Isolate y term: -14y = -28Isolate y: y = 2Step 5: Solve for x
Define original equation: 4x - 4y = -24Substitute in y: 4x - 4(2) = -24Multiply: 4x - 8 = -24Add 8 to both sides: 4x = -16Divide 4 on both sides: x = -4Step 6: Graph
Check the solution set.
solve this mathematical problem
20W!4X 10w! 2=?
Answer:
this is just simplified
800w!^2
PLEASE HELP We have a line 3x+5y=20 what is the slope of the perpendicular line to this line
Answer: The slope is 3/5x
Step-by-step explanation:
Rewrite it
5y = -3x + 20
Divide by 5
y = -3/5x + 4
turn the slope into a positive
y = 3/5x
Which like is the Skew to RQ. (hint not MN)
What is -5+3
Lol had to had more things to post this but please answer my question
Answer:-2
Step-by-step explanation:
if you count from -5 and take away 3 it will give you -2
Answer:
-2
Step-by-step explanation:
- means taking away.
-5+3 means that your taking away -5 from 3.
3 is smaller than 5 though, which means that the awnser will be negative.
-5+3=-2
Hope this helps!
Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did the store sell in total
Answer:
63
Step-by-step explanation:
Answer:
Step-by-step explanation:so did u pass the edulastic test
The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?
Answer:
-7 degrees celsius
Step-by-step explanation:
12-19=-7
Answer:
-7
Step-by-step explanation:
12 - 19 = -7
For the formula x = 3y - z, what is the value of x when y = 4 and z = 1?
Answer:
here, x=3y-z then,
(substitute value of y and z)
x=3×4-1
=12-1
x=11ans
Over the interval [0, 2), what are the solutions to sin(2x) = 2cos(x)? Check all that apply,
Answer:
pi/2 and 3pi/2
Step-by-step explanation:
on edge
The required solutions to sin(2x) = 2cos(x) are the following as : [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The equation of trigonometry functions is given in the question:
sin(2x) = 2cos(x)
We have to determine the solution to the given trigonometry equation
As per the question, we have
⇒ sin(2x) = 2cos(x)
Rewrite the above trigonometry equation,
⇒ sin(2x) - 2cos(x) = 0
⇒ 2sin(x)cos(x) - 2cos(x) = 0
Common factor out from the equation,
⇒ 2cos(x)[sin(x) - 1] = 0
Solving each part separately
2cos(x) = 0 and sin(x) - 1 = 0
cos(x) = 0 and sin(x) = 1
[tex]\:x=\frac{\pi }{2}+2\pi n, and \:x=\frac{3\pi }{2}+2\pi n[/tex].
Thus, the required solutions to sin(2x) = 2cos(x) are the following: [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
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What is the slope of the line that passes through the points M (-3, 5) and N (1, 8)?
Answer:
the slope would be [tex]\frac{3}{4} x[/tex] and the y-intercept would be [tex]\frac{29}{4}[/tex]
Express in p/q form 0.125125125
Answer:
Step-by-step explanation:
Solution
0.125125125
Cut . Thus after cut . Count numbers then we get there is 9 numbers so divide it in form of 0 like
Thus after cutting . we get
125125125
___________
1000000000
It is in p/q form
Answer:
[tex]\frac{125}{999}[/tex]
Step-by-step explanation:
Create 2 equations with the repeating numbers 125 placed after the decimal point.
let x = 0.125125125 → (1) ← multiply both sides by 1000 )
1000x = 125.125125125 → (2)
Subtract (1) from (2), thus eliminating the repeating decimal
999x = 125 ( divide both sides by 999 )
x = [tex]\frac{125}{999}[/tex] ← in the form [tex]\frac{p}{q}[/tex]
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negativeWhat is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
The sign is positive.
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Therefore, the sign of the answer is positive.
Hope this helped!
Answer:
The sign is postive
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Bill Fold had $50. He
spent $16 on his favorite
book and $29 for games.
How much does he have
left?
Greg had to pay a 12% service charge for ordering two football tickets over the phone. If the tickets cost $84 before the service charge, how many dollars in total did Greg pay for the tickets?
Answer: 10.08
Step-by-step explanation:
PLEASE, I NEED HELP FAST!
n²-4-n-2 is equal to
A) (n-2)n
B) (n-2)(n+1)
C) (n+2)(n-3)
D) (n+2)n
And please write good explanation, not only the answer. Thank you!
best answer get brainly
Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?
Answer:
I would believe that it would be close 7 whatever is closest to seven bro
Answer:
12
Step-by-step explanation:
20%=2/5
2/5 is equivalent to 12/30
therefore 12 uniforms are medium