Which conversions from scientific notation to standard notation are true? Check all that apply.
Answers
The correct conversion from scientific notation to standard notation are:
b) [tex]8.05\times 10^5[/tex]
e) [tex]7.09\times 10^{-6}[/tex]
Step-by-step explanation:We know that when we have a power of 10 as positive then the decimal is shifted to the right and if the power of 10 is negative then we shift the decimal to the left.
a)
[tex]1.71\times 10^3[/tex]
As the power of 10 is positive hence we shift the decimal to the right 3 places.
Hence, the conversion is:
[tex]1.71\times 10^3=1710[/tex]
b)
[tex]8.05\times 10^5[/tex]
Again the power of 10 is positive and hence we will shift the decimal 5 places to the right and the conversion is done as follows:
[tex]8.05\times 10^5=805000[/tex]
c)
[tex]2.4\times 10^4[/tex]
Since, the power of 10 is positive and hence we will shift the decimal 4 places to the right and we convert the number to standard notation as:
[tex]2.4\times 10^4=24000[/tex]
d)
[tex]8.25\times 10^{-3}[/tex]
Since, the power of 10 is negative and hence we will shift the decimal 3 places to the left and we convert the number to standard notation as:
[tex]8.25\times 10^{-3}=0.00825[/tex]
e)
[tex]7.09\times 10^{-6}[/tex]
Since, the power of 10 is negative and hence we will shift the decimal 8 places to the left.
Hence, we convert our number to standard notation:
[tex]7.09\times 10^{-8}=0.00000709[/tex]
It is accurate to convert scientific notation to standard notation in the following ways:
B [tex]8.05x10^5=805,000[/tex]
C [tex]2.4x10^4= -24,000[/tex]
E [tex]7.09x10^-^6=0.0000070[/tex]
To solve this problemFirstly, Let's evaluate each conversion one by one:
[tex]1.71x 10^3=0.00171[/tex]
This conversion is not true. The correct value of[tex]1.71x 10^3[/tex] is 1710.
[tex]8.05x10^5=805,000[/tex]
This conversion is true.
[tex]2.4x10^4= -24,000[/tex]
This conversion is true.
[tex]8.25x10^-^3=-8,250[/tex]
This conversion is not true. The correct value of [tex]8.25x 10^-^3[/tex] is 0.00825.
[tex]7.09x10^-^6=0.0000070[/tex]
This conversion is true.
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Related Questions
What is p−m ⋅ pn equal to?
Answers
= p²n - pnm
p−m ÷ n
The baker pays $0.80 per pound for sugar and $1.25 per pound for butter. Write an expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.
Answers
Answer:
$0.80x + $1.25y = z
Step-by-step explanation:
the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.
The total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
The baker pays $0.80 per pound for sugar
The baker pays $1.25 per pound for butter.
We need to write expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.
Let x be the pounds for sugar
x be the pounds for butter
20x+6y=Total
As x=0.80 and y=1.25
20(0.80)+6(1.25)
16+7.5
23.5
Hence, the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.
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The whole is 8. One part is 8. What is the other part? Tell how you know.
Answers
In an addition 8+x=8
x, the "other part" has to be 0 - this i means that the first part of 8 is 8 and the other is an "empty part"
Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how much has Carmen received in dividends?
Answers
so every year she gets $1092.42
so times that by 6 and the answer is $6554.52
Answer: $6554.52
Step-by-step explanation:
Total number of shares bought by Carmen =153
A constant yearly dividend paid by each share=$7.14
Thus, 153 shares pays yearly dividend =[tex]153\times7.14=\$1092.42[/tex]
After 6 years, total dividend received by Carmen=[tex]6\times1092.42=\$6,554.52[/tex]
Hence, The total dividend received by Carmen in 6 years = $6554.52
Seth is trying to find the unit price for a package of blank discs on sale at 10 for 5.49, his answer was $1.82 per disc is he correct?
Answers
I figured this out by dividing 5.49 by 10, and got $0.549 which rounds to $0.55.
If this is incorrect, I am sorry, but I am 99.9% sure that I am correct.
what rate is equivalent to 72/9
Answers
A rectangular tabletop has a length of 4 3/4 feet and an area of 11 7/8 square feet. What is the width of the table top?
Answers
If you can use a calculator just put 11.875/4.75 which gives you as your width 2.5.
If you can't then change them into irregular fractions so...
11 7/8 --> 95/8
4 3/4 --> 19/4
Then divide them
95/8 / 19/4
95/8 * 4/19
380/152= 2.5 or 2 1/2
Find the greatest number
0.9,0.91,9/10
Answers
0.91=0.91/1=9.1/10=91/100
9/10=90/100
90/100<91/100
the greatest is 91/100 or 0.91
What is the equation of the line that is parallel to y = -2x + 4 and goes through the point (1,7)
Answers
-----------------------
Work Shown:
The slope of the line y = -2x+4 is m = -2
Any line parallel to this line will also have a slope of m = -2
Parallel lines have equal slopes
Plug this slope, along with the given point (x1,y1) = (1,7) into the point slope formula. Then isolate y
y - y1 = m(x - x1)
y - 7 = -2(x - 1)
y - 7 = -2x + 2
y - 7 + 7 = -2x + 2 + 7
y = -2x + 9
Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair solutions to y = 2x} Which ordered pair satisfies A ∩ B?
Answers
Answer:
(0,0)
Step-by-step explanation:
We have,
U = { (x,y) : x,y belong to real numbers }
A = { (x,y) : (x,y) is a solution of y=x }
B = { (x,y) : (x,y) is a solution of y=2x }
We need to find the ordered pair (x,y) that belong to A[tex]\bigcap[/tex]B.
Let, (x,y) belong to A[tex]\bigcap[/tex]B
i.e. (x,y) belong to A and (x,y) belong to B
i.e. y = x and y = 2x
i.e. x = 2x
i.e. x = 0
Now, substitute x= 0 in any of the equation say y = x, we get y = 0.
Hence, the ordered pair satisfying A[tex]\bigcap[/tex]B is (0,0).
For a set U, The ordered pair satisfies A ∩ B is mathematically given as
x = 0, y = 0 (0,0)
Which ordered pair satisfies A ∩ B?Question Parameter(s):
U = {ordered pairs on a coordinate plane}
A = {ordered pair solutions to y = x}
B = {ordered pair solutions to y = 2x}
if (x,y) belongs to AnB
y = x and y = 2x
x = 0
In conclusion, subsituting we have
y = x and y = 2x
y = 0
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The highest score that is a record for a particular video game is 19,749 points. The lowest score on record for the same video game is 176 points. Which of the following inequalities best shows the range of scores recorded on the game?
Answers
They key is the less than or equal to sign.
Have a blessed day :)
The highest score that is a record for a particular video game is 19,749 points, and it means that the individual could get 19749 points or lower than that, so the inequality will be like this:
[tex]x \leq 19749[/tex]
Next, the lowest score on record for the same video game is 176 points, and it also means that the individual could get 176 points or lower, so the inequality will be:
[tex]x \geq 176[/tex].
Finally, we have the two inequality we want and let's combine them, to get:
[tex]176 \leq x \leq 19749[/tex]. As a result, D is your final answer. Hope it help!
True or False? The point-slope form of a line is y + y1 = m(x + x1), where m is the slope and (x1, y1) is a point on the line. It's false right?
Answers
Point-slope form is: y-y1=m(x-x1)
They used sums instead of differences...
Answer:
False
The correct point slope form passing through points (x1,y1) is [tex](y-y1)=m (x-x1)[/tex] .
Step-by-step explanation:
The formula for the point slope form passing through the point (a,b) is given by.
[tex](y-b)=m (x-a)[/tex]
Where m is the slope .
As given in the question.
m is the slope and (x1, y1) is a point on the line.
Thus the point slope form becomes
[tex](y-y1)=m (x-x1)[/tex]
Therefore the correct point slope form passing through points (x1,y1) is [tex](y-y1)=m (x-x1)[/tex] .
A flooring company ships 13x13 inch tile in boxes of 11 tiles each, on pallets containing 40 boxes (Check Work Required. Please Help)
A) How many square feet does each box contain?
B) How many square feet will a pallet of tile cover?
Answers
A) Each box contains 11 tiles, each of which covers 1.17 square feet.
So the area each box covers is 11*1.17 square feet=12.87 square feet
B) A pallet contains 40 boxes, each of which covers 12.87 square feet,
so one pallet covers 40*12.87 square feet=514.8 square feet.
Answer:
A) 12.87 square feet
B) 514.8 square feet.
"Exponents and Multiplication- Simplify. Your answer should only contain positive exponents." Please help quickly !!
Answers
The area of a triangle is 6 square feet. The base is 3 times its height. What is the base of the triangle?
Answers
Area=1/2 bh
6=1/2bh
12=bh
height is x, base 3x
12=3x^2
x^2=4
x=2
height = 2 feet
base = 3*2 = 6 feet
Please help!
The number line below represents which combined inequality?
number line with a closed circle on negative 2, shading to the left and a closed circle on 4, shading to the right
x greater than or equal to −2 or x less than or equal to 4
x greater than or equal to −2 and x less than or equal to 4
x less than or equal to −2 or x greater than or equal to 4
x less than or equal to −2 and x greater than or equal to 4
Answers
Answer:
C
Step-by-step explanation:
I just did it on edge 2021 :)
7.06) If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m? m < 9 m > 9 m ≤ 9 m ≥ 9
Answers
means m is less than 9
m<9
Hello,
The correct answer is A) m < 9
Hope this helps!!!! Happy Holidays!!!! (:
How do you do solve this question?
Answers
14 • 60 = 840
Since Jake bikes 210 per minute, you would need to divide the total number of miles that Dan has traveled in 14 minutes (840 miles) by the amount of miles Jake can travel in one minute (210).
840 ÷ 210 = 4 minutes
Answer: 4 minutes
PLEASE HELP!! 20 POINTS <33
Answers
A local hamburger shop sold a combined total of 646 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Answers
646-54 = 592
592/2 = 296
296+54 = 350
350+296 = 646
there were 350 hamburgers and 296 cheeseburgers sold
What are the steps for constructing a circumscribed circle for using only a compass and a straightedge?
Answers
Draw a perpendicular from the incenter to one of the sides. Mark the point of intersection with the side.
Set the distance between compass points to the distance between the point of intersection and the incenter. This is the radius of the circle
Construct the perpendicular bisector of another side
Where they cross is the center of the Circumscribed circle
Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!
A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot
Answers
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet
The height of the building from the top of the ladder is 12.6 ft
The situation forms a right angle triangle.
Right angle triangle:A right angle triangle is a triangle that has one of its sides as 90 degrees.
Therefore,
The length of the ladder is the hypotenuse side.
The bottom of the ladder distance from the base of the building is the adjacent side of the triangle. Therefore,
The height of the building from the top of the ladder is the opposite sides. Therefore, using Pythagoras theorem.
c² = a² + b²
14² - 6² = b²
b² = 196 - 36
b² = 160
b = √160
b = 12.6491106407
b = 12.6 ft
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I draw a card 50 times from a standard 52 deck and gets a heart 8 times what's the probability that I draw a heart on the next draw
Answers
To solve this problem, let us first define what probability is. By standard definition, probability is the ratio of how many times a selected event occurred over the total number of events which occurred. Hence:
Probability = number of times a selected event occurred / total number of events
In this case, our selected event is the drawing of a heart which occurred 8 times. While our total event is the total number of drawing of cards which occurred 50 times. Hence, the probability is:
Probability = 8 / 50
Probability = 4 / 25 = 0.16 = 16%
Therefore there is a 4/25 or 0.16 or 16% chance that the next draw will be a heart.
what is 7a + 10 = 2a
Answers
5a=-10
a=-10/2
a=-5
one of the comers of a cube is sliced off the resulting cross section will have a minimum of ? Sides ?
Answers
a corner of a cube connects 3 sides to each other,
then add the side of the cut
so it would have 4 sides
On her math quiz, Sandra lost 8 points for incorrect answers, but she gained 5 points for a bonus question. What is the sum of the points Sandra lost and gained?
Answers
[tex]5[/tex] gained
[tex](-8)+5=-(8-5) = -3[/tex]
Answer:
-3 points
The term that describes how long it takes a function to repeat its behavior is the _____
Answers
An arrow is shot upward with a velocity of 64 feet per second. Using the formula h(t)=64t-16t^2, how long after the arrow is released does it hit the ground?
Answers
-16t^2+64t=0 factor
-16t(t-4)=0, we know t>0 so
t=4 seconds.
Answer:
After the 4 second arrow is released, it will hit the ground.
Step-by-step explanation:
Consider the provided formula.
[tex]h(t)=64t-16t^2[/tex]
We need to find how long after the arrow is released does it hit the ground.
If the arrow hit the ground that means the value of h(t)=0.
Substitute the value of h(t)=0 and solve the equation as shown.
[tex]64t-16t^2=0[/tex]
[tex]16t(4-t)=0[/tex]
Now use zero product rule: If ab=0 then either a=0 or b=0
[tex]16t=0\ or\ 4-t=0[/tex]
[tex]t=0\ or\ -t=-4[/tex]
[tex]t=0\ or\ t=4[/tex]
Hence, after the 4 second arrow is released, it will hit the ground.
some kids like to ride their bikes to and from school let d be the distance in miles from a kid home to school write 2 expression to represent how far a kid travel by bike in 4 weeks
Answers
Expression 2; If you bike 3.25 miles home from school each day, using the same math shown in the previous expression, substituting 1.5 for 3.25. Using that math, you would bike 65 miles in 4 weeks.
Sarcastic conclusion; You and your friend both get quite the leg day just to get home from school!
How to solve: (looking for b)
y =mx+b