Consider the expression 103 x 0.006. a) What is the exponent in the power of 10? [ Select ] b) How many factors of 10 are in 103? [ Select ] c) How do your answers to the last two questions relate to one another? [ Select ] d) What is the value of 103 x 0.006? [ Select ]
Solution :
Given that the expression is :
[tex]$10^3 \times 0.006$[/tex]
This can be written as,
[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]
[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]
[tex]$\Rightarrow 10^0 \times 6$[/tex]
a). Therefore the exponent in the power of 10
= 0
b). Factors of 10 in [tex]$10^3$[/tex]
= 10 x 10 x 10
= 1000
= [tex]$10^3$[/tex]
So there are 3 factors of 10 in [tex]$10^3$[/tex]
c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.
But in part a), we are finding exponent in the power of 10 in the expression which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.
d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.
Look at this angle, what are the sides?
Answer:
Both of the arrowed ones are the sides
32. Exercise Ahmit gets
exercise on the weekend by
working around the house.
On Saturday, he worked for
3 hours mowing the lawn and
raking leaves; He burned
885 Calories.
a. Write a system of
equations that can be used
to describe the amount
of time Ahmit worked and
the number of Calories
he burned by mowing
and raking
b. Determine how much time Ahmit spent on mowing and raking.
Answer:
X: time mowing lawn (325 Cal/hour)
Y:time raking leaves (275 Cal/hour)
325X + 275Y = 885
3 - X = Y
(1.2 hours mowing the lawn, 1.8 hours raking leaves)
Step-by-step explanation:
you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.
Which triangles are similar A or b? I need help.
Answer:
A!
Step-by-step explanation:
Pleaseee I need help
Answer:
(48-8xy)-(3xy-10)
Step-by-step explanation:
Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan less time. They've been told that they'll spend their entire 4-hour shifts next Saturday stocking shelves. If their average speeds are consistent, who will likely stock more shelves next Saturday?
HELP!
Answer:
Reagan
Explanation:
Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.
Hope this helps :)
Please help! I think of a number, I double it, and then add 3. The result is 19. Write this in the form of an equation and then solve the equation to find the number I was thinking of.
Answer:
8
Step-by-step explanation:
Y×2+3=19
19-3=16
16÷2=8
You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.
I Need Help ASAP!!!
Answer:f(x) in order from left to right= -20, 5, 10, 15, 30 i.) -.06 ii.)-40
Step-by-step explanation: f(x) is the answer of 5 times whatever x is, so when it’s telling you what x is all you have to is multiply it by the number next to x which in this case is 5. after doing that you get the answers above. for i.) it’s telling you the answer which is -3, so you divide that by 5 getting -.06. In ii.) it gives you x which is -8 so you plug that in giving you -40.
Find the slope of each line.
the green shape is a dilation of the black shape.what is the scale factor of the dilation?
Answer: 5
Step-by-step explanation:
Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]
Given: Black triangle ( original) having perpendicular with length 4 units. [2 blocks above and 2 boxes below the x-axis ]
Green triangle ( image) having corresponding side as 20 units [10 blocks above and 10 boxes below the x-axis ].
Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]
Hence, the scale factor of the dilation = 5
Evaluate f(x)=x-5 when x=-5,x=0,and x=5
Answer:
f(x) = x - 5
f(-5) = -5 - 5
= -10
f(0) = 0 - 5
= -5
f(5) = 5 - 5
= 5
Hope this helps!
whats the geometric mean of 1/2 and 8
Answer:
4
Step-by-step explanation:
1/2 of 8 is 4
A truck moves 3 km in 30 min and and returns at same distance in 20 min find average speed
Answer:
Step-by-step explanation:
the truck mover 3 km one way, 3 km back, so he moves 6 km
one way the truck needs 30 min, on the way back 20 min
so we have 6 km in 50 min
v=distance/time
v one way=3km/30 min=0.1 km/min
v on the way back=3 km/20min=0.15 km/min
v average =0.1+0.15=0.125 km/min
or 7.5 km/hour
Kayla can write 415 pages in 10 minutes. At this rate, how many pages could Kayla write in 30 minutes?
Answer:
1245
Step-by-step explanation:
You have to multiply 415 and 3, since 10 x 3 = 30
415 x 3 = 1245
Answer:
She can write 1245 pages in 30 mins.
Step-by-step explanation:
If 10*3= 30 then multiply 415 by 3 or add 415 3 times and you will get your answer. Hope this helped you!! Give brainliest.
Of the four choices given, which two, when written as a system, have a solution of (-4,5)?
Answer:
The answer is A. The first one.
I hope this helps. ;)
Answer:
It is A on edge 2020
Step-by-step explanation:
what is 3/5 divided by 1/2 as a reduced fraction
Which range contains the value of sqrt(25-4+16)?
A. Between 6.0and 6.2
B. Between 6.9 and 7.1
C. Between 2.1 and 2.3
D. Between 18.4 and 18.6
Answer:
I wanna say C. But I'm not exactly sure.
Step-by-step explanation:
I hope it's right :(
Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?
(I mark Brainlist)
A. y = 9.5x + 22.5
B. y =22.5 + 9.5
C. y = 9.5x - 22.5
D. y = 22.5x - 9.5
Answer:
C or A
Step-by-step explanation:
I think that it is most likely C but you could try A to
What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}
3 Answers: x = 0, x = 1, or x = 2
==================================================
Explanation:
The relation
{(0, 5) (1, 5) (2, 6) (x, 7)}
has points with x coordinates of: 0, 1, 2, and x.
If we repeated any of the x values listed so far, then we will not have a function.
So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.
This means that if x = 0, 1, or 2, then we won't have a function.
Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).
If 7 pounds cost $5.46, find the cost of 3 pounds.
Answer:
$2.19
Step-by-step explanation:
7 divided by 3 is 2.5
5.46 divided by 2.5 is 2.184
round it and get 2.19
please help me answer this ASAP if u view it then u'll see the question properly
[tex] \frac{1 + \sqrt{3} }{ \sqrt{12} } [/tex]
i will give brainliest answer if it the correct answers
Answer:
1/6 sqrt(3) + 1/2
Step-by-step explanation:
(1 + sqrt(3))
------------------
sqrt(12)
Multiply the top and bottom by sqrt(12)
(1 + sqrt(3)) * sqrt(12)
------------------
sqrt(12)*sqrt(12)
sqrt(12) + sqrt(3) * sqrt(12)
------------------
12
Simplify
sqrt(4)sqrt(3) + 6
------------------------
12
2 sqrt(3) +6
--------------------
12
1/6 sqrt(3) + 1/2
Question 6: please help me out here :(((
Answer:
m∠1 = 106
Step-by-step explanation:
Given: m∠5 = 106
Vertical angles are congruent
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Therefore: m∠1 = 106
Please help me on this
Answer:
PAGE 1
8.) d
9.) b
PAGE 2
6.) b
7.) d
PAGE 3
4.) c
5.) a
PAGE 4
1.) c
2.) c
3.) a
PAGE 5
10.) b
11.) d
Step-by-step explanation:
PAGE 1
8.) x - 20 + x + 10 = 180 (collect like terms)
2x - 10 = 180 (add 10 on both sides)
2x = 190 (divide by 2 on both sides)
x = 95
9.) 2y + y = 180 (collect like terms)
3y = 180 (divide by 3 on both sides)
y = 60
x = y ----> x = 60
PAGE 2
6.) 16x - 6 = 90 (add 6 on both sides)
16x = 96 (divide by 16 on both sides)
x = 6
7.) 5x + 30 = 7x (subtract 5x on both sides)
30 = 2x (divide by 2 on both sides)
15 = x
PAGE 3
4.) <8 and <16 are corresponding angles
5.) 180 - 130 = 50
PAGE 4
1.) HD and GE are skew lines
2.) AC, EG, and BD are parallel to FH
3.) EF, GH, and BF are perpendicular to FH
PAGE 5
10.) | and || only are the only ones correct
11.) l || m, by the Converse of the Consecutive Interior Angles Theorem.
b/c the two angles equal 180 together and one angle is on line l and the other is on line m. This shows they're parallel.
Hope this helps ya!!
A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.
Answer:
You have a 25% chance on landing on any of the colors
Step-by-step explanation:
You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer
Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
here, we have,
In this problem,
You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow
there are four colors in the spinner
if you divide the number of colors (4) and divide it by 100
you will get 25 and that is your answer
Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.
More can be learned about sample spaces at brainly.com/question/25861936
#SPJ3
Choose the number that is 5 more than a square number.
21
34
35
65
76
Answer:
21
Step-by-step explanation:
this requires practical assumption.
take 9 for example
5 more than 9 means 9 - 5 = 4
4 is a square number
21 = 21 - 5 = 16
16 is a square number
34 = 34 - 5 = 29
29 is not a square number
35 = 35 - 5 = 30
30 is not a square number
65 = 65 - 5 = 60
60 is not a square number
76 = 76 - 5 = 71
71 is not a square number
what is 7.0893 as a decimal but in word form.
Answer:
seven and eight hundred ninety-three ten-thousandths
Step-by-step explanation:
I can’t solve or bring myself to understand it :/ I’m having difficulties
Answer:
x = 50
Step-by-step explanation:
Since the output is 0, x^2 is 2500 but written differently.
Just take the square root of 2500, which is 50.
50^2 = 2500
2500 - 2500 = 0
geometry help please :)
Answer:
Medium to Line AC
Altitude to Line AC
Bisector of Angle B
Perpendicular bisector of Line AC
Step-by-step explanation:
We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.
#teamtrees #WAP (Water And Plant)
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up
Answer:
2 rows of 41
Step-by-step explanation:
i had the same question
The number of possible ways can the chairs be lined up is 2 rows of 41.
Given that,
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows.Based on the above information, the calculation is as follows:
[tex]= 2 \times 41[/tex]
= 82 chairs
Here 2 denotes the rows.
Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.
Learn more: brainly.com/question/13549064
Gina tracks the low temperatures for a city over six days. Identify the days colder than -1.75°F.
Answer:
Its Monday and Tuesday
Step-by-step explanation:
Answer:
Monday and Tuesday
Step-by-step explanation:
"Days colder than -1.75 F."
Note that in negative numbers the greater negative number contains a lesser value:
Tuesday: -1.9 F < -1.75 F
Monday: -2.5 F < -1.75 F