Answer:
2
Step-by-step explanation:
We have the equation
[tex]m^{5/6}(m^{1/6})^7=m^x[/tex]
The exponent rules to be used are
[tex]a^x\times a^y=a^{x+y}[/tex]
[tex](a^{x})^y=a^{xy}[/tex]
[tex]m^{5/6}(m)^{7/6}=m^x\\\Rightarrow m^{\dfrac{5}{6}+\dfrac{7}{6}}=m^x\\\Rightarrow m^{\dfrac{5+7}{6}}=m^x\\\Rightarrow m^{\dfrac{12}{6}}=m^x\\\Rightarrow m^{2}=m^x[/tex]
Comparing the exponents we get
[tex]x=2[/tex]
So, the value of [tex]x=2[/tex] makes the equation true.
after changing the amount of time he works Seth has begun earning a salary of $214,206 that is 5% less than before how much does Seth’s salary used to be
Answer:
seth's new old salary was $224,916
Step-by-step explanation:
You take 214,206 and multiply it by .05 which is 5%
you take the number u got from multiplying that and add it onto the existing "salary" which is $214,206 and 5% of 214,206 is 10,710. you then add that onto 214206 and u get ur answer. Hope this helped.
Angle question<><><><>><><><><>
ummmmmmmmmmmmm 143 degrees (sorry for the um i needed 20 characters)
give me brain plz.
Simplify -10(2r - 4)
Answer:
-20r + 40
Step-by-step explanation:
-10(2r - 4)
-20r +40
A cat food company sells its canned cat food to stores for $0.20 per can. One of the stores sells the can of cat food for $0.55. What percent markup did the store use?
If im wrong I apologize but I believe it is 0.33 percent more But what I did what subtract the to talk of store A from store B and that is what I got put -0.33 of needed.
If the probability of Bob passing a driving test is p and the probability he fails is 6p^2 what is the value of p?
We are given:
Probability of passing = p
Probability of Failing = 6p²
__________________________________________________________
Finding the value of 'p':
We know that the sum of the probabilities of an event occurring and not occurring is 1
So, Probability of passing + Probability of Failing = 1
p + 6p² = 1
6p² + p - 1 = 0
We can see that we now have a quadratic equation
Splitting the middle term:
6p² + 3p - 2p - 1 = 0
3p(2p + 1) - (2p + 1) = 0
(3p - 1)(2p + 1) = 0 [factoring out 2p + 1]
Now, we can either divide both sides by (3p-1) or by (2p + 1) and both the cases will give us different answers.
Dividing both sides by (3p - 1):
2p + 1 = 0/(3p-1)
2p + 1 = 0
p = -1/2
Dividing both sides by (2p+1):
(3p - 1) = 0 / (2p + 1)
3p - 1 = 0
p = 1/3
Now, we have 2 values of p: -1/2 and 1/3
Using the value: -1/2 will mean that the probabilities are negative
but we know that probabilities cannot be negative.
So, -1/2 is not a valid value for p
Therefore, the value of p is 1/3
A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble being replaced after each selection. What is the probability that at least 1 of the selected marbles is blue?
(StartFraction 12 Over 29 EndFraction) Superscript 4
(StartFraction 17 Over 29 EndFraction) Superscript 4
1 minus (StartFraction 12 Over 29 EndFraction) Superscript 4
1 minus (StartFraction 17 Over 29 EndFraction) Superscript 44
Answer:
D or 1-(17/29)^4
Step-by-step explanation:
This is because you need to figure out the probability that a selected marble is not blue, which is (17/29)^4. Then you can calculate the probability that one of them is blue by taking this number, and subtracting it from 1. This results in 1-(17/29)^4.
The probability that at least 1 of the selected marbles is blue is 1 - ([tex]\frac{17}{29}[/tex])⁴.
What is Probability?Probability in simple terms is the chance of getting an event. Probability of any event can be found by number of likely outcomes divided by the total number of outcomes.
Probability with replacement means the events are independent. That is, the probability of first event does not depend on the second event.
For two independent events A and B,
P(A and B) = P(A) × P(B)
In the question,
Number of red marbles = 11
Number of blue marbles = 12
Number of white marbles = 6
Total number of marbles = 29
Four marbles are selected with each marble being replaced after each selection.
We have to find the probability that at least 1 of the selected marbles is blue. For that, first we find the probability of no marbles are blue.
P(no marbles are blue) = P(red marbles or white marbles)
= Number of red and white marbles / total number
of marbles
= (11 + 6) / 29 = 17/29
P(no marbles are blue) for four takes = [tex]\frac{17}{29}[/tex] × [tex]\frac{17}{29}[/tex] × [tex]\frac{17}{29}[/tex] × [tex]\frac{17}{29}[/tex]
= ([tex]\frac{17}{29}[/tex])⁴
Total probability of a sample space is always 1.
So, the probability that at least 1 marble is blue = 1 - ([tex]\frac{17}{29}[/tex])⁴.
Hence the probability that at least 1 of the selected marbles is blue is 1 - ([tex]\frac{17}{29}[/tex])⁴.
To learn more about Probability, click :
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If -y-2x^3=Y^2 then find D^2y/dx^2 at the point (-1,-2) in simplest form
^^ the main problem i am having is when I have to use the quotient rule
Answer:
[tex]\frac{d^2y}{dx^2} = \frac{-4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringCalculus
Implicit Differentiation
The derivative of a constant is equal to 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
-y - 2x³ = y²
Rate of change of tangent line at point (-1, -2)
Step 2: Differentiate Pt. 1
Find 1st Derivative
Implicit Differentiation [Basic Power Rule]: [tex]-y'-6x^2=2yy'[/tex][Algebra] Isolate y' terms: [tex]-6x^2=2yy'+y'[/tex][Algebra] Factor y': [tex]-6x^2=y'(2y+1)[/tex][Algebra] Isolate y': [tex]\frac{-6x^2}{(2y+1)}=y'[/tex][Algebra] Rewrite: [tex]y' = \frac{-6x^2}{(2y+1)}[/tex]Step 3: Differentiate Pt. 2
Find 2nd Derivative
Differentiate [Quotient Rule/Basic Power Rule]: [tex]y'' = \frac{-12x(2y+1)+6x^2(2y')}{(2y+1)^2}[/tex][Derivative] Simplify: [tex]y'' = \frac{-24xy-12x+12x^2y'}{(2y+1)^2}[/tex][Derivative] Back-Substitute y': [tex]y'' = \frac{-24xy-12x+12x^2(\frac{-6x^2}{2y+1} )}{(2y+1)^2}[/tex][Derivative] Simplify: [tex]y'' = \frac{-24xy-12x-\frac{72x^4}{2y+1} }{(2y+1)^2}[/tex]Step 4: Find Slope at Given Point
[Algebra] Substitute in x and y: [tex]y''(-1,-2) = \frac{-24(-1)(-2)-12(-1)-\frac{72(-1)^4}{2(-2)+1} }{(2(-2)+1)^2}[/tex][Pre-Algebra] Exponents: [tex]y''(-1,-2) = \frac{-24(-1)(-2)-12(-1)-\frac{72(1)}{2(-2)+1} }{(2(-2)+1)^2}[/tex][Pre-Algebra] Multiply: [tex]y''(-1,-2) = \frac{-48+12-\frac{72}{-4+1} }{(-4+1)^2}[/tex][Pre-Algebra] Add: [tex]y''(-1,-2) = \frac{-36-\frac{72}{-3} }{(-3)^2}[/tex][Pre-Algebra] Exponents: [tex]y''(-1,-2) = \frac{-36-\frac{72}{-3} }{9}[/tex][Pre-Algebra] Divide: [tex]y''(-1,-2) = \frac{-36+24 }{9}[/tex][Pre-Algebra] Add: [tex]y''(-1,-2) = \frac{-12}{9}[/tex][Pre-Algebra] Simplify: [tex]y''(-1,-2) = \frac{-4}{3}[/tex]∠ = 150 and∠ = 80. Find ∠. The diagram is not to scale
Answer:
I don't see the diagram but if you're adding to 360 degrees than the answer is 90
Step-by-step explanation:
Can someone please help me with 5 and 6? :)
Step-by-step explanation:
5) 2 lines are perpendicular
slope of line 1 =3
slope of line 2= _1/3
6)perpendicular
Marta is making a quilt in the shape of a square. The length of one edge of the quilt is 2g^2h^3. What is the area of the quilt?
Answer:
(2g^2h^3)^(2g^2h^3) OR 4gg^4hh^9
Step-by-step explanation:
answer the following question
Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) x = 5
You can get this with a calculator if you need by using the log function.
[tex]log_{2} 32 = x[/tex]
x = 5
b) x = 4
According to the product rule of exponents: [tex]a^{x} * a^{y} = a^{x + y}[/tex]
So, x + 11 = 15 --> x = 4
please help me asap
Answer:
1.C
2.A
Step-by-step explanation:
Closed circle is =
Step-by-step explanation:
for number 1 the answer is the third line
for number 2 i believe the answer is the second line
hope it help
The sum of the digits of a two digit number is 9 When the digits are reversed the number increases by 9. Find the number.
Answer:45
Step-by-step explanation:
Let the unit place be ‘x'
Tenth place be y
The number is 10y+x
x+y = 9 (according to the condition) (1)
Digits are interchanged Unit place' y ‘& tenth place ‘ x'
New no is 10x +y
This is 9 more than the original number
10x+ y = 10y+x +9
10x-x+y-10y = 9
9x-9y= 9
x-y = 1 (dividing by 9) (2)
Adding the two equations
2x = 10
x= 5
Substituting the value of x in first equation
y = 4
The number is 45, the original number is 54 this is 9 more of the new number.
Ans :45
Solve system by Substitution
method, provide steps.
y = 5x - 18
-5x+6y = 17
Answer:
x=5
Step-by-step explanation:
-5x+6(5x-18)=17
-5x+30x-108=17
25x-108=17
25x=17+108
25x=125
x=5
Solve 9 > x + 15. Graph the solution.
Answer:
X + 15 < 9
x < 15 - 9
x < -6
Step-by-step explanation:
Hope you got it
100 points !!!!
Please help ASAP: What times 28,000 equals 4,410,483,661
Answer:
157517.273607
Step-by-step explanation:
Answer it 4410455661
Identify the function in this graph
Answer:
what's the graph?
Step-by-step explanation:
Please help me with this question
Answer:
First blank: 8 mph
Second Blank: 4 mph
Step-by-step explanation:
I'm not really that sure for the second blank but maybe-
Brainlest and points !!
Answer:
ok
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Evelyn spends 50% of his monthly budget on clothes and food.
(175 + 425)/1200 × 100
= 600/1200 × 100
= 50%
f(x)= x−41 −6. Find the inverse of f(x) and its domain.
Answer:
the answer is A
Simplify -8 - 7v +10 + 4v
Answer:
-74v
Step-by-step explanation:
uh-
I need help with my test please i have 4 minutes left
Answer:
$8466.15
Step-by-step explanation:
its 7330 * 0.155 which is 1136.15+7330 is 846.15
Hope this helps plz hit the crown :D
Answer:
$8,466.15
Step-by-step explanation:
so sorry i miscalculated!!
what angle is supplementary to angle 5
Answer:
Angle 5 and angle 6 are supplementary angles
Step-by-step explanation:
Angle 5 and 6 are both supplementary angles because angle 6 and 5 are linear pairs
What is the relationship between 3/4 and 9/12?
Answer:
timed by 3
Step-by-step explanation:
[tex]\frac{3}{4} x 3 \frac{9}{12}[/tex]
then you get 9/12
but 3/4 is simplified
Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sews at a constant rate. At this rate, how many dresses does Lucy sew in one hour?
Include fractions of dresses if applicable.
Answer:
16/21 dresses
Step-by-step explanation:
3/4 · k hours: 4/7 · k dresses for any constant k
If we want 1 hour, then k will need to be 4/3
4/3 × 4/3 hours: 4/7 × 4/3
1 hour = 16/21 dresses
2/9 of the students in a school are in sixth grade. How many sixth graders are there if the school has 27 students?
Answer: 5.999 or just 6
Step-by-step explanation: 2/9 of 27
Answer:
6 sixth graders
Step-by-step explanation:
2/9 of 27 = 6
Help I don’t know the answer
(3x^-4)6/9x^-12 can you please solve? I’ll give brainly
Answer:2
Step-by-step explanation:
if 3 student are absent from a class og 48
Answer:
whats the question
Step-by-step explanation:
Please! I'M IN A HURRY. 40 POINTS!
The graph of g is a vertical shrink of the graph if f. What can you say about the x-intercepts if the graphs of f and g. Is this always true? Explain.
Answer:ok ok your answer is...sample response!
g(x) = f(5x)
Step-by-step explanation:
We assume that "shrink by a factor of 1/5" means that horizontal distances on the graph of g(x) are 1/5 of those on the graph of f(x).
Dividing x by a dilation factor will cause horizontal dilation of a graph. Here, that factor is 1/5, so the desired function is ...
g(x) = f(x/(1/5))
g(x) = f(5x)
BRAINLIEST???
