Answer:
Step-by-step explanation:
The goal in scientific notation is to express a value in terms of a number that contains a single unit before the decimal point.
Examples:
10000: 1.0 x 10^4
23456: 2.3456x10^4
In both cases, the x10^4 is telling us to multiply the first number by 10,000. 10^4 is the same as 10x10x10x10 = 10,000
The justification for scientific notation is that is makes expression large and small numbers much easier, as well as reduces errors due to an incorrectly placed decimal.
An example: Divide 2500000000 by 5000. That would normally require setting up a long-hand division problem that not only wastes paper and pencil, but is also prone to decimal point errors.
Do the same problem with scientific notation:
Count the places you want to move the decimal point backwards to just beyond the 5 in 2500000000. It takes nine steps to move the decimal point to between the 2 and 5: 2.5 followed by 8 zeros. That's a total of next steps to go in front of the 5. This is written 2.5 x 10^9
5000 is represented by 5.0x10^4
Now when we divide the same numbers, but in scientific format, it is easier to see the answer:
(2.5x10^9)/(5.0x10^4)
2.5/5 = 0.5
10^9/10^4 = 10^5 [The exponents are subtracted when dividing with exponents: 9-4 = 5]
Put them together to find the final answer: 0.5x10^5
Then move the decimal point one spot to the right and reduce the exponent by 1:
5.0x10^4
------
Add exponents when multiplying: 10^3 x 10^5 = 10^8 (3+5=8)
Subtract when dividing: 10^7/10^2 = 10^5 (7-2=5)
Multiply when there is an exponent raised to another exponent: (10^4)^3 = 10^12 (4x3 = 12)
what is the solution to this equation 4x -6 + 2x =18
Answer:
x=12
Step-by-step explanation:
4x-6+2x=18
2x-6=18
2x=24
x=12
A motorcycle can run 108km in 2h20mn Find the average speed
Answer:
do it got a picture
on the edge2020
Step-by-step explanation:
A nursery has 15 bags of topsoil. Each planter holds 1/8 of a bag.
How many planters can be filled with the topsoil?
Enter your answer in the box.
|__| planters
MUST HAVE:
*Show work*
Answer:
120 planters can be filled with topsoil.
Step-by-step explanation:
Since each planter can hold 1/8th of a bag of topsoil, this means that one bag of topsoil can fill up 8 planters.
15 x 8 = 120, so this means that 120 planters can be filled with topsoil.
:)
Please help! IXL math problem
Answer:
224, 755
Step-by-step explanation:
you first have to find the differnce between 177 and 47 which equals to 133.
so you have to do 94+133
and 885-133
PLEASE HELP
Solve for x
Answer:
you get 32
Step-by-step explanation:
How would I simplify radical expressions?
[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]
5m - 2 represents the statement two less than five times a number
Answer:
yes
Step-by-step explanation:
Find 3 other points for this equation ( please help!! ) not bots.
Answer:
(0,6), (1,7), (2,8)
Step-by-step explanation:
A set of 3 consecutive integers has a sum of 15. Which integers are they?
The answer is 4+5+6=15.Hope that helps. :)
Answer:
Step-by-step explanation:
Let the first number be x,
The second number (since it is consecutive) will be = x + 1
The third number (since it is right after the second) = (x+1) + 1 = x + 2
x + x + 1 + x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3 = 4
If the first number = 4,
Second number will be = 5 [(x+1) = 4+1]
Third number will be = 6 [(x+2) = 4 + 2]
Please help me with this
A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
V = 87.92 cubic cm
Step-by-step explanation:
V(cyl) = πr²h
V = 3.14(2²)(7)
V = 87.92
pls help me with math asap pls no links thx
Answer:
8
Step-by-step explanation:
Divide 192 by 24 and you'll get 8 classes per grade as the answer
Answer:
8 classes
Step-by-step explanation:
To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g (x) = x-5/2 to determine if f(x) and g(x) are inverse of each other.
Answer:
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and to determine if f(x) and g(x) are inverses of each other?
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
a diver is 19 meters below the surface of the water.use an interger to represent how far the diver will need to travel to reacg the surface'
Answer:
19 meters
Step-by-step explanation:
if he goes straight up at 90 degreed to the surface of water, it would be 19 metres
Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat
Can someone help me with 45 ?
Answer:
h⁰ = 84⁰
f⁰ = 132⁰
g⁰ = 28⁰
Step-by-step explanation:
As we know that sum of all the angles in a triangle is 180⁰, so,
h⁰ + 48⁰ + 48⁰ = 180⁰
h⁰ = 84⁰
Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.
48⁰ + f⁰ = 180⁰
f⁰ = 132⁰
Again, g⁰ can be founded the same way as h⁰.
20⁰ + 132⁰ + g⁰ = 180⁰
g⁰ = 28⁰
HOPE IT HELPS :)
Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%
Answer:
62.5 %
Step-by-step explanation:
you have to subtract 32-12, which equals 20
then divide 20 by the original amount (20/32)
20/32= .625, then you have to multiply to get the final answer...hope this helped!
Can someone please give me the (Answers) to this? ... please ...
Answer:
Step-by-step explanation:
Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
[tex]24*24*10*10*10*9=5184000[/tex]
See more about possibilites at brainly.com/question/488013
Pablo has $5,483 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much will he have in 3 years?
(compound interest formu)
Answer:
$6347.26Step-by-step explanation:
Given:
Initial amount P = 5483Interest rate r = 5% or 0.05Compound number n = 1Time t = 3 yearsFind the total amount in 3 years:
[tex]A = P(1+r/n)^{nt}[/tex][tex]A = 5483*(1+0.05/1)^{1*3}=5483*(1.05)^3 = 6347.26[/tex]Here we've been given,
Principal amount (p) = $5843 Compound number (n) = 1 Rate of Interest (r) = 5% = 5 × 1/100 = 0.05 Time (t) = 3 years A = ?The standard formula for Compound interest (C.P) is given by,
[tex]:\implies\tt{A = p( { \frac{1 + r}{n} )}^{n \times t} } \\ \\ \\ :\implies\tt{A = 5483( { \frac{1 + 0.05}{1}) }^{1 \times 3} } \\ \\ \\ :\implies\tt{A = 5483 \times {1.05}^{3} } \\ \\ \\ :\implies\tt{A = 6347.26}[/tex]
Select the correct answer.
Simplify the following expression.
Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit
Plan Two: $12 for each gym visit.
Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
Answer:
aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit
Step-by-step explanation:
A= (4,-1)
B= (0,-5)
which one is right ,two answer choices.
Answer:
A
Step-by-step explanation:
Your bank account starts with $1550 and every month $50 is automatically deducted for the cable bill. You want to know how long, x, it would take your account to drop below $0. How many months would it take for your account to drop BELOW $0?
Step-by-step explanation:
C(x) = 1550 - 50x
With C(x) the cash you have every month (x).
Now we solve:
1550 - 50x < 0
So it becomes:
50x > 1550
x > 31
The 32nd month you'll be broke.
what is the answer, i need help
Answer: C 1/2mL LMN= mL LMO
Step-by-step explanation: because 2/76 is 38 C is the right answer
Plz help fast I will mark Brainlyist
Answer:
-4 -2 1 the top are 2/6 -2/8
Step-by-step explanation:
I don't know if that's right but yea hope that helps
Need help Now please
on High School geometry a is altitude, if it doesn’t show on the picture
Answer:
1. Altitude
2. Median
3. Angle bisector
4. Perpendicular bisector
A water cooler holds 1536 ounces of water each water bottle holds 16 ounces how many water bottles can be filled from the water cooler
Answer:
96 water bottles
Step-by-step explanation:
1536/16 = 96
The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.
Please explain also
Answer:
Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)
1 hectare = $36
$486 = 13.5 hectares
13.5 hectares = 1/2 × b × h
To get b × h, you use the reverse of the formula. Hence:
13.5 = 1/2 × b × h
13.5 ÷ 1/2 = b × h
= 27
27 is b × h.
The question states that the base is three times the height. Hence:
b = 3u
h = 1u
b × h = 27
= 3u × 1u
Thus, we need to find one value which is three times the other, in order to get a product of 27.
Factors of 27:
1 × 27
3 × 9
9 is three times of 3. Thus, the base is 9, while the height is 3.
please help ASAP! What is the area of this figure?
Answer:
The answer is 75ft. Hope this helps.