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)
Use an area model to find the quotient: 132 ÷ 3 = ________.
Answer:
44
Step-by-step explanation:
f(x)=1/2(x-2)(x+3)^3
Answer:y=
1
2
x4+
7
2
x3+
9
2
x2+
−27
2
x−27
Step-by-step explanation:
What is equivalent to -2/5x=-4
A. -20
B. 1
C. -10
D. -8
E. X= -8/5
Answer:
10
Step-by-step explanation:
Multiply each side by the reciprocal, -5/2
x = -4 * -5/2
x = 20/2
x = 10
help me with this pls
Answer:
-49
Step-by-step explanation:
Make sure you understand the difference between
-3² and (-3)²
-3² means square 3, then take its opposite. -3² is the same as -(3²) = -9
(-3)² means square the number -3, which means that (-3)² = (-3) × (-3) = 9
Ok, now we can start. Use the correct order of operations.
-3² + (2 - 6)(10) =
= -9 + (-4)(10)
= -9 + (-40)
= -9 - 40
= -49
So the answer is all of that
Answer:
What's the question?
Step-by-step explanation:
The m1 is twice m3. The m2 is 20 more than the m3 find m4. See picture for full problem. Please and thank you!
Answer:
Step-by-step explanation:
The world population is about 7.8 billion people now and the population grows at an annual rate of 1.1%. What will the population be in 2031?
Answer:
8.58 billion people
Step-by-step explanation:
7.8
1.1
78
78
858 place the decimal where it should be to get 8.58
if m angle 2 =70, find m angle 6
m angle 6= 210
I'm not sure about this question
PLEASE NO LINKS AND NO NEGATIVITY
Can you help this is a lot. I don't really get it
Answer:
country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5
why you take my profile picture hello.....
I want a picture of magnitic force and electric force
Answer:
Step-by-step explanation:
123
which is an equation of the line that goes through the points (-4,7) and (-4,11)
Answer:
it's a answer!!
Step-by-step explanation:
ITS AN ANSWER BECAUSE IT CAN BE! THATS WHY! BLAH BLAH BLAH! I do not say blah blah blah
rationalize the denominator 4√2/4√5
Answer:
answer given in the phot
Solve the following compound inequality: 4 less-than-or-equal-to x + 4 less-than-or-equal-to 12.
Answer:
Step-by-step explanation:
A. x mayor que 5
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3. 5 feet from the base of a wall?.
The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.
Using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the other two legs
The ladder length represent the hypotenuse sides
The distance of the ladder to the base of the wall is one of the leg.
The height on the wall the 15 ft ladder reach is the other leg
Therefore,
a² = 15² - 3.5²
a² = 225 - 12.25
a = √212.75
a = 14.5859521458
a ≈ 14.6 feet
learn more on Pythagoras theorem: https://brainly.com/question/13734303?referrer=searchResults
Answer:
C
Step-by-step explanation:
just took the test trust cuties
y=2x squared +4x-1 . help me
Answer:
y = 9/8 for part one of solving y in this equation .
Step-by-step explanation:
Answer:
x= (√2y+6/2)-1
Step-by-step explanation:
Swap sides so that all variable terms are on the left hand side.
2x^2+4x−1=y
Subtract y from both sides.
2x^2 +4x−1−y=0
Using quadratics formula:
x=-4±√4²-4*2(y-1)/2*2
x= −4±2√ 2y+6/4
Next solve the equation by using either ± = subtraction or addition
I am using ± = addition. This means I add -4 to 2. From there I simplify equation.
x= (√2y+6/2)-1
Not sure if this means to find x, but I think this is what it would be.
What principal will amount to 20,790 in 2 years at the simple interest of 5% per annum?
Answer:
18900
Step-by-step explanation:
I Can't Believe There Still Work It's Christmas Break
Can no one really help me? I've posted a question worth 50 points and people who are just in it for the points keep responding...I need help this is literally very important to my grade and no one is helping me please help
Answer:
repost so i can see
Step-by-step explanation:
repost so i can seee
Answer:
wheres the answer???
Step-by-step explanation:
cant find the answer thats all
Given pr // st. pr = 7 cm. ts = 3cm tq = 5cm what the length of pt
The question is an illustration of parallel lines, and equivalent ratios
The length of pt is 11.7 cm
Given that:
[tex]pr = 7cm[/tex]
[tex]ts =3cm[/tex]
[tex]tq = 5cm[/tex]
This means that:
[tex]pr : ts = pt : tq[/tex]
Substitute values for pr, ts and tq
[tex]7cm : 3cm =pt : 5cm[/tex]
Express the ratios as fractions
[tex]\frac{7cm }{ 3cm }= \frac{pt}{5cm }[/tex]
Cancel out the common units
[tex]\frac{7}{ 3}= \frac{pt}{5cm }[/tex]
Cross multiply
[tex]3pt = 35cm[/tex]
Divide both sides by 3
[tex]pt = 11.7cm[/tex]
Hence, the length of pt is 11.7 cm
Read more about equivalent ratios at:
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please help me, please and thank youuu! :D
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2 , then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
What is the value of the digit in the hundred thousands place?
61,889,248
A. 60,000,000
B. 800,000
c. 100,000
D. 80,000
Answer:
C
Step-by-step explanation:
1.
In a proportional relationship between the variables x and y, which of the following
expressions would be constant?
(1) x + y
(3) xy
(2) y-x
(4)Y/x
Yes
Answer:
y/x
Step-by-step explanation:
If x is proportional to y, then:
y = kx, where k is a constant
This can be rearranged to give:
k = y/x
As mentioned, k is a constant, therefore, the answer is y/x
what’s an perpendicular equation of a line to y=-2/7x+9 that passes through the point (4,-6)
Answer:
has no prison pits as melatarea
Please help me with this
Answer:
A and F
Step-by-step explanation:
I need help please I’ll give you five stars!
Jenny received a $30.50 gift card for a photo center. She used it to buy prints that cost 20 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
b=−30.50-0.20x
What is the remaining balance on the card if Jenny bought 30 prints?
The remaining balance on the card is $24.50.
The balance on the card after buying the prints is the value of the gift card less the total cost of the prints
Balance = value of the gift card - total cost of the prints
Total cost of the prints = cost per print x number of prints bought
0.20 x 30 = $6
Balance = $30.50 - $6 = $24.50
To learn more about the total purchase price of an item, please check: . https://brainly.com/question/25717996
Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
There are
ways to arrange the 8 blocks.
Can someone please take the time out of they’re day and help me and with this question
Answer:
see explanation
Step-by-step explanation:
(a)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line
m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50
The line crosses the y- axis at (0, 100 ) ⇒ c = 100
y = 50x + 100 ← equation of line
where y is monthly savings and x the time in months
(b)
Slope is the monthly deposit , that is $50 per month
The y- intercept indicates the original amount in her account , that is $100
A typical tip at a restaurant is 18% of the total bill. If the bill is $60, what would the typical tip be?
The typical tip would be $_________.
Describe how modern entertainment has begun to reflect the changing makeup of families in America.
It should be noted that modern entertainment has played a vital role in shaping African culture and homes.
Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.
Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.
Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.
Learn more about entertainment on:
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