Answer:
1) [tex]5.8\times 10^7\text{ km}[/tex]
2) [tex]2.5\times 10^{-3}\text{ cm}[/tex]
Step-by-step explanation:
To put a value into scientific notation, we need to:
1) Move to decimal place such that our new value is between 1 and 10 and
2) Multiply by 10^n, where n is the amount of spaces moved. If we moved to the left, n is positive. If we move to the right, n is negative.
1)
We have:
[tex]58,000,000[/tex]
We can view this as:
[tex]58,000,000.0[/tex]
Our new value should be between 1 and 10.
58000000
So, let's move our decimal 7 places to the left. This gives us:
[tex]5.8000000[/tex]
Since we moved 7 to the left, we need to multiply by 10^7. Note that the 7 is positive. So:
[tex]=5.8000000\times 10^7[/tex]
We can remove the trailing zeros and add our unit:
[tex]=5.8\times 10^7\text{ km}[/tex]
2)
We have:
[tex]0.0025[/tex]
Our new value should be between 1 and 10. So, move the decimal places 3 units to the right. This yields:
[tex]2.5[/tex]
Since we moved 3 to the right, we need to multiply by 10^(-3). This time, note that our exponent is negative. So:
[tex]=2.5\times 10^{-3}[/tex]
Add our unit:
[tex]=2.5\times 10^{-3}\text{ cm}[/tex]
And we're done!
Step-by-step explanation:
1. 58,000,000 km
2. 0.0025 cm
write in scientific notation:
1)
it would be more easier to read a notation in every 3 decimal places like thousands, millions, billions, etc.
we have 58,000,000 (note where the comma is placed) count every 3 to the left. just multiply by 10^6.
= 58 x 10⁶ km
2) 0.0025 (move 3 decimal places to the right)
= 2.5 x 10⁻³ cm
10 points
3. Which equation below would help you to solve this problem: A new 12
month membership at Workout Nation costs $630. A registration fee of
$150 is paid up front, and the rest is paid monthly. How much do new
members pay each month?
150x + 12 = 630
150x + 12x = 630
150 + 12x = 630
630x + 12 = 150
Answer:
150+12x=630
Step-by-step explanation:
The x represents the amount of months and it is multiplied by 12 because each month costs 12$. 150 have to be paid up front and this added to the monthly fee is equal to 630$
-6(y + 15) = -3y + 6, what is y?
Answer: 28
Step-by-step explanation:
-6 times y and 15= -6y +90
-6y + 90= -3y + 6 ( 90 -6=84)
-6y + 84= -3y ( -3y + 6 = 3y)
84=3y (84 divided by 3=28)
Y=28
n^2- 5n +4=0 quadratic equation
Answer:
n = 1, 4
Step-by-step explanation:
Step 1: Write equation
n² - 5n + 4 = 0
Step 2: Solve for n
Factor: (n - 4)(n - 1) = 0
Find roots: n = 1, 4
Step 3: Check
Plug in n to verify if it's a solution.
1² - 5(1) + 4 = 0
1 - 5 + 4 = 0
-4 + 4 = 0
0 = 0
4² - 5(4) + 4 = 0
16 - 20 + 4 = 0
-4 + 4 = 0
0 = 0
heeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllpppppppppppppppppp
Answer:
x = 5Step-by-step explanation:
[tex]6 - 2x = 5x - 9x + 16[/tex]
Simplify
That's
[tex]6 - 2x = - 4x + 16[/tex]
Add 4x to both sides of the equation
[tex]6 - 2x + 4x = 4x - 4x + 16 \\ 6 + 2x = 16[/tex]
Subtract 6 from both sides of the equation
[tex]6 - 6 + 2x = 16 - 6 \\ 2x = 10[/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{10}{2} \\ [/tex]
We have the final answer as
x = 5Hope this helps you
What is the slope formula between (-5,2) and (1,-5)
Answer:
-1.16667
Step-by-step explanation:
The entered points belong to a decreasing, linear function.
Equation: y = -1.16667x - 3.83333.
The line y=4mx-8 and y=-8+3x are parallel find the value of m??
Step-by-step explanation:
parallel the slope of 2 equations are the same value
4m = 3
m = 3/4
which statement best describes (3x4)x6=3x(4x6)
Answer: the grouping of the factors is changed, but the product is the same
HELP PLEASE! 50 POINTS, BRAINLIEST FOR WHOEVER ANSWERS FIRST!
In the 2006 Winter Olympics in Torino, Italy, Russia won 7
fewer medals than Germany. The two countries won a total of
51 medals. How many medals did each country win?
Answer:
Russia won 22
Germany won 29
Step-by-step explanation:
We know Russia won 7 fewer than Germany.
We have to find the maximum number Germany can get, but Russia must have 7 less.
Germany can get 29 medals, with Russia getting 22.
Let's check:
22 + 29 = 51
Hope this helps!
How many seconds are in 5 years?
When adding numbers which way do you usually work
Step-by-step explanation:
start by adding together the numbers in the right hand column
answer the following
21 - 4x = 4x + 21
Answer:
0
Step-by-step explanation:
21 - 4x = 4x + 21
~Subtract 21 to both sides
-4x = 4x
~Divide -4 to both sides
x = -x
~Add 8 to both sides
2x = 0
~Divide 2 to both sides
x = 0
Best of Luck!
1. how is 2,010,000 written in scientific notation
2. how is 6,012,000 written in scientific notation?
Jenny walks 3/4 mile in 1/4 hour. At what rate is jenny traveling
Answer:
3 miles per hour
Step-by-step explanation:
3/4 mile = 0.75 mile
1/4 hr = 0.25 hr
0.75mile/0.25hr = 3 miles per hour
The formula K= 5/9 (F - 32) + 273.15 converts temperatures from degrees Fahrenheit F to Kelvin K.
Solve the formula for F
Answer:
[tex]F=\dfrac{9}{5}(K-273.15)+32[/tex]
Step-by-step explanation:
Undo the various operations done to F.
[tex]K=\dfrac{5}{9}(F-32)+273.15\quad\text{given}\\\\K-273.15=\dfrac{5}{9}(F-32)\quad\text{subtract 273.15}\\\\\dfrac{9}{5}(K-273.15)=F-32\quad\text{multiply by 9/5}\\\\\boxed{F=\dfrac{9}{5}(K-273.15)+32}\quad\text{add 32}[/tex]
True or False: (-8) + 9 = 9+ (-8)
Show your work to prove your answer.
Answer:
1
Step-by-step explanation:
-8 +9 = 1
9 + -8 = 1
answer = 1
Answer:
true
Step-by-step explanation:
(-8) + 9 = 9 + (-8)
solve both sides of the equation
-8 + 9 = 1
9 + (-8) is equivalent to 9-8 = 1
so,
1 = 1
this equation is true
hope this helps!! :)
Problem How many unique ways are there to arrange the letters in the
word CHRISTMAS?*
362,880
45,255
1
55,698
Answer:
There are 181,440 ways.
Step-by-step explanation:
Given the word CHRISTMAS
In the word "Christmas" there are 9 letters.
Also take note, the letter "s" is repeated twice.
Hence, the number of ways is given by; no of ways = n!/m!
Where, n = 9, m = 2
no of ways = 9 *8*7*6*5*4*2*1/2*1
no of ways = 9*8*7*6*5*4*3
no of ways = 181,440.
Therefore, the number of unique ways that the letters in the word can be arranged is 181,440.
find the 12th term of the arithmetic sequence 2a - b, 3a - 2b, 4a - 3b
Answer:
the 12th term of the arithmetic sequence would be 13a - 12b
Step-by-step explanation:
as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.
Answer:
13a - 12b
Step-by-step explanation:
That is what the 12th ter m of the arithmetic sequence is
Simplify i^41 (please help me)
Answer:
i
Step-by-step explanation:
Answer: Choice A) i
====================================================
Explanation:
Let's look at the pattern of powers of i
i^0 = 1i^1 = ii^2 = (sqrt(-1))^2 -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1We loop back to 1, and the process starts all over again. The cycle is 4 units long. Ie, the pattern repeats every 4 terms.
What this means is that we can use remainders to quickly figure out something like i^41 without having to use a calculator or tons of paper.
Dividing 41/4 leads to a quotient of 10 and a remainder of 1. We only care about the remainder. The remainder 1 means i^41 = i^1 = i
Note how 41 and 1 lead to the same remainder when we divide by 4.
find all missing variables and measures of each angle
Answer:
x= 18
10x=180
x=180/10
x=18
What are the next two numbers in this pattern?
2, –8, 32, –128, . . .
A 512, –2,048
B –224, 3,120
C –512, 2,048
D 224, –3,120
(Please Help ASAP)
Select all that apply.
A graph shows _____ in picture form.
[] variables
[] facts
[] color
[] statistics
[] sums
[] data
Answer: data, variables, and statistics
Step-by-step explanation: :)
lmk if this wrong, if it is, i'm so sorry
find the distance between the points (4,6) and (0,9)
Answer: The answer to this question is 5. The picture will explain
Plz help.
An escalator lifts people to the second floor of a building, 22ft above the first floor. The escalator rises at 30° angle.To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
r=44
Step-by-step explanation:
y=22 feet
sin 30= y/r
r=y/sin30
r=22/sin30
r=44 feet
someone help me with this equation ASAP its hard
Answer:
i think its A....................
Answer:
D
Step-by-step explanation:
Since its half a number then it would mean that it would be 1/2x. Not 5x bc you are just adding it to 1/2x
The value of the guitar has been found to be -80y + 800, where y is the number of years since it was released. a. By how much is the value of the guitar decreasing per year? b. How much was the initial value of the comic?
Answer:
B
Step-by-step explanation:
=729
2. Be Precise Suri solved the equation x2 = 49
and found that x=7. What error did Suri
make? © MP.6
What is the answer
Answer:
see below
Step-by-step explanation:
x^2 = 49
Take the square root of each side
sqrt(x^2) =± sqrt(49)
x = ±7
Suri failed to take into account the negative value of the square root
64 is 6623% of what number?
Answer:
6623% = 66.23
Now, we just multiply that decimal by 39 to get the final answer.
66.23 * 39 = 2582.97
6623% of 39 is 2582.97.
Hope that helped =)
Step-by-step explanation:
What is the coefficient in this equation 3x +9= -15
Answer:
3
Step-by-step explanation:
The coefficient is the number before the variable so 3 would be the coefficient in this equation.
Hope this helps!!!
5 less than a number is equivalent to 1 more than three times the number
Answer:
x-5=3x+1 (x=-3)
Step-by-step explanation:
5 less (_-5)
than a number (x)
is equivalent to (=)
1 more than (+1)
than three times the number (3x)
combine them all to get x-5=3x+1
extra:
add 5 to each side x=3x+6
subtract x from each side 0=2x+6
subtract 6 from each side -6=2x
divide each side by 2 -3=x
how do you find a slope from a table??
Answer:
Pick any point that has x and y together.
For example, 3 4
2 7
1 6
Here the two points which you will be picking is either 3 and 4, or 2 and 7 or 1 and 6.
Once you pick, use the formula: rise/run (which means y/x)
Using the same example above, let's just say that you picked 1 and 6. (remember the first column always represents x values whereas the second column always represent y values). You get the slope by 6/1 = 6.
Hope that helped!!
Mark brainliest!!
