By simplifying given statement we got that if the quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex] then n is equal to [tex]1.5\times10^{-18}[/tex]
What is quotient?Result obtained after division is called quotient
Here given that "The quotient of 8. 4 times 10 Superscript 9 and a number n results in 5. 6 times 10 Superscript 27"
We can write it as
The quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex]
we can write it as
[tex]\frac{8.4\times10^ 9}{n} =5. 6\times 10 ^{27}[/tex]
Now we can simplify it as
[tex]n= \frac{8.4\times10^ 9}{5. 6\times 10 ^{27}} \\\\n= \frac{8.4}{5.6} \times\frac{10^9}{10^27} \\\\n= 1.5\times 10^{-18}[/tex]
By simplifying given statement we got that if the quotient of [tex]8.4\times10^ 9[/tex] and a number n results in [tex]5. 6\times 10 ^{27}[/tex] then n is equal to [tex]1.5\times10^{-18}[/tex]
To learn more about quotient visit :https://brainly.com/question/673545
Andrew was taking a math quiz. There was a question on the quiz that had the
expression 8x – 9 – 12x + 5. Andrew's teacher told the class there was a typo
and the expression was supposed to have one set of parentheses in it.
-
1. Where could you put parentheses in 8x – 9 – 12x + 5 to make a new
expression that is still equivalent to the original expression? How do you know
that your new expression is equivalent?
2.
-
Where could you put parentheses in 8x - 9 - 12x + 5 to make a new
expression that is not equivalent to the original expression? List as many
different answers as you can.
Answer:
‐4(x+1)
Step-by-step explanation:
8x‐12x‐9+4
‐4x‐4
take common
‐4(x+1)
Tell whether (-4, 3) is a solution of the system of linear inequalities.
Explanation:
Refer to the diagram below. The point (-4,3) marked in red is outside the blue shaded region. So it doesn't make both inequalities true, and therefore not considered a solution.
In contrast, a point like (-5,1) is a solution as it is in the shaded region.
Put another way, the set of all solution points must be below both the solid line and the dashed line. Points can be on the solid line, but must be adjacent to the blue shaded region. The fact (-4,3) is on the solid line doesn't count because its not below the dashed line.
Find each missing measure, PLS help me my last question, i have like 7 pages of math to get done tonight pls help me with this ONE problem!!!!!
Answer:
m1: 35
m2: 77
m3:49
m4:77
m5:62
m6: 28
Step-by-step explanation:
So basically u can figure out that the angle opposite the 103deg thing is also 103. 360-2(103) = 154. Then 154/2 = 77 and u can work out the rest from there. good luck with the rest of the problems.
If you you give sally 26 apple and take 13 apples away. How much apples would Sally have left? PLS HELP!!!!!!!!!
Answer:
she'd have 13 left hope this helps:)
if amount is 7,500, time is 2years and rate is 10% then find principal?
Answer:
Principal = $9,152.93
Step-by-step explanation:
A = $9,152.93
A = P + I where
P (principal) = $7,500.00
I (interest) = $1,652.93
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 7,500.00(1 + 0.1/12)(12)(2)
A = 7,500.00(1 + 0.008333333)(24)
A = $9,152.93
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $7,500.00 at a rate of 10% per year compounded 12 times per year over 2 years is $9,152.93.
An ad says that 6 lemons cost $1.86. What will 8 lemons cost?
Answer: 2.48
Step-by-step explanation:
We have the ad that shows:
6 lemons for .....................1.86 dollars
8 lemons..............................?
the cost for 8 lemons= (8*1.86)/6=2.48
of course we can use another method,
1.86/6=0.31 cents for 1 lemon
8*0.31=2.48 and we get the same answer
Answer:
$2.48
Step-by-step explanation:
1.86/6=0.31 which is the cost for 1 lemon. 0.31*8=2.48 which is for 8 lemons.
Which is the most efficient method substitution or elimination or graphing to solve the system of equation. Explain why the method you pick is the is the most efficient. 5x + 3y = 6 and -4x -3y = -3
Answer:
see explanation
Step-by-step explanation:
5x + 3y = 6 → (1)
- 4x - 3y = - 3 → (2)
the most efficient method here would be elimination.
add (1) and (2) term by term to eliminate y
x + 0 = 3
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (1)
5(3) + 3y = 6
15 + 3y = 6 ( subtract 15 from both sides )
3y = - 9 ( divide both sides by 3 )
y = - 3
solution is (3, - 3 )
Answer:
[tex](3,-3)[/tex]
Step-by-step explanation:
[tex]5x + 3y = 6[/tex]
The most efficient method for this equation is elimination.
[tex]x + 0 = 3[/tex]
[tex]5(3) + 3y = 6[/tex]
Substitute x = 3 into any of the equation and solve for y.
[tex]5(3) + 3y = 6[/tex]
[tex]15 + 3y = 6[/tex]
[tex]-15 -15[/tex]
[tex]3y = - 9[/tex]
[tex]\frac{3y}{3}=\frac{-9}{3}[/tex]
[tex]y=-3[/tex]
[tex](3,-3)[/tex]
can someone help me pls. I will mark you branliest
Answer:
106
Step-by-step explanation:
Answer: 106
hope this helps my guy
Step-by-step explanation:
How many different 2-digit numbers can be formed with no digit repeated by using the digits 6, 1, 2, or 4?
Answer:
12
Step-by-step explanation:
61 62 64 16 12 14 26 21 24 46 41 and 42
Graph the function. Then identify the domain and range of the function.
f(x)=3/8x^2
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid y
values. Use the graph to find the range.
Interval Notation:
[0,∞)
Set-Builder Notation:
{y|y≥0}
Determine the domain and range.
Domain: (−∞,∞),{x|x∈R}
Range: [0,∞),{y|y≥0}
What is the sum of the first 67 consecutive odd numbers
odd numbers are numbers which are divisible by 3,5,7 etc.....odd numbers between 60 and 70 are 63 65 67 and 69 the sum is 264
What is the remainder when dividing the sum (2001 + 2002 + 2003 + 2004 + 2005) by 2004?
Answer:
4.99750499002
Step-by-step explanation:
Answer:
1984
Step-by-step explanation:
(2001 + 2002 + 2003 + 2004 + 2005) by 2004
10015/2004
4 remainder 1984
Hope this helps!
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 : 24
please help (AP Calc AB) will mark brainliest! image provided
Answer:
So I think your answer is Zero
I think it will help you.
PLS HELP ME WITH THIS
You spend half of your allowance on Monday.
On Tuesday, you spend half of what is left.
Then on Wednesday, you spend half of what remains.
What fraction of your allowance do you have left? Choose the most reasonable answer.
Answer:
Assuming you want to know what fraction of the original amount you have.
a = allowance
(1/2)a = what have left after Monday
(1/2(1/2)a = what you have after Tuesday
(1/2)(1/2)(1/2)a = what you have after Wednesday.
Doing the multiplication.
(1/8)a = what you have left.
You have 1/8 of what you had at the start.
Hope this help u
Answer:
1/8 i think
Step-by-step explanation:
Need help on this question ASAP pleasee and thanks!
Answer:
Sorry but I don't know the answer too this question
Please help really quick I really need some help with this question
Answer:
first two are right because the scatterplots align well with both graphs in the direction described
Step-by-step explanation:
If y varies directly w x and y = -12 when x = 6 find x when y = -4
In an election between two candidates, the winner received 65% of the 15,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser?
Answer:The winner recieved 4,500 more votes than the loser
Step-by-step explanation:
Answer:
5,250
Step-by-step explanation:
The first step is to set up a porportion like this one
[tex]\frac{?}{15,000} \frac{65}{100}[/tex]
Next, you cross multiply and divide. 15,000 times 65 is 975,000
Then divide this by 100 which is 9750. This is the number of votes the winning candidate received. Subtract this number from 15,000 to get 5,250. Hope this helps!
100 points!!!! Whatbis the simplest form of x4y7/3√x10y4
Answer:
The last one.
Step-by-step explanation:
Answer:
y^5 cubed root x^2 y^2
Step-by-step explanation:
edge 2023
Solve: 4 In x=2 In 25
Ox=5
O x = 25
O x = 625
•
•
•
• it’s A =5
•
•
•
Second part is
• it’s B =6
Answer:
x = 5Step-by-step explanation:
Solve the equation in steps as below4 ln x = 2 ln 252 ln x = ln 252 ln x = ln 5²2 ln x = 2 ln 5ln x = ln 5x = 53. A Salesman Sold
$65,100 in bikes.
He eared a 20%
Commission. How
much did he earn?
Answer:
13020
Step-by-step explanation:
Given the rectangle below, find the measure of
Answer:
I don't know honestly sorry
Step-by-step explanation:
I tried
please help ASAP!!!!!
Answer:
that would be 26
Step-by-step explanation:
you got this!
Graph the function f(x) = – 4(x + 4)2 square + 7.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.
Graph attached
Answer:
vertex = (-4, 7)
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
Step-by-step explanation:
Given function: [tex]f(x) = -4(x + 4)^2 + 7[/tex]
Vertex form of a quadratic function: [tex]f(x)=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
From inspection, we can see that the given function is in vertex form.
h = -4 and k = 7
Therefore, the vertex is at (-4, 7)
As [tex]a[/tex] is negative, the parabola will open downwards.
When graphing functions, it is useful to determine the axis intercepts.
The curve will intercept the y-axis when x = 0.
Substituting x = 0 into the function:
[tex]f(0) = -4(0 + 4)^2 + 7=-57[/tex]
Therefore, the y-intercept is at (0, -57)
**cannot plot this on the given graph area as it is out of range**
The curve will intercept the x-axis when y = 0.
Setting the function to 0 and solving for x:
[tex]-4(x + 4)^2 + 7=0[/tex]
[tex]\implies -4(x + 4)^2=-7[/tex]
[tex]\implies (x + 4)^2=\dfrac74[/tex]
[tex]\implies x+4=\pm\sqrt{\dfrac74}[/tex]
[tex]\implies x=-4\pm\dfrac{\sqrt{7}}{2}[/tex]
Therefore, the x-intercepts are at (-2.7, 0) and (-5.3, 0) to 1 dp.
Finally, input values of x either sides of the x-intercepts for further plot points:
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
The formula below gives the monthly payment m needed to pay off a loan of P dollars atr
percent annual interest over N months, Which of the following gives P in terms of m, r, and N?
Answer:
This day is going to be perfect
The kind of day of which I dreamed since I was small
Everypony will gather round
Say I look lovely in my gown
What they don't know is that I have fooled them all
Step-by-step explanation:
If three folders cost $2.91 help us determine how much is two floders
solve by factoring x^2 + 6x = -9 Hint: this is a double root
the answer isn't +/-15
Answer:
x = -3, -3
Step-by-step explanation:
[tex] {x}^{2} + 6x = - 9 \\ \\ \implies \: {x}^{2} + 6x + 9 = 0 \\ \\ \implies \: {x}^{2} + 3x + 3x+ 9 = 0 \\ \\ \implies \: x(x + 3) + 3(x + 3) = 0 \\ \\ \implies \: (x + 3)(x + 3) = 0\\ \\ \implies \: x + 3 = 0 \: \: or \: \: x + 3 = 0 \\ \\ \implies \: x = - 3 \: \: or \: \: x = - 3 \\ \\ \implies \: x = - 3, \: \: - 3[/tex]
Classify/name the shape based on the number of sides and markings.
Hint: Two Words
List the potential solutions to 2 ln x = 4 ln 2 from least to greatest. X = and x =.
Answer:
x=-4 and x=4
Step-by-step explanation:
solution to equation is 4