Step-by-step explanation:
Given [tex]\frac{x*x^{-2} }{x^{13}}[/tex]
= [tex]\frac{x*x^{-2} }{x^{13}} = \frac{x^{-1} }{x^{13}}[/tex]
According to the Negative Exponent Rule, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Therefore, [tex]\frac{x^{-1} }{x^{13}} = \frac{1}{x^{1}*x^{13}} = \frac{1}{x^{13+1}}= \frac{1}{x^{14}}[/tex]
In other words, [tex]x^{-1}[/tex] became positive because of the Negative Exponent Rule. Once you bring [tex]x^{-1}[/tex] down towards the denominator, you're essentially removing its negativity and turning its exponent into a positive value. Once that takes place, then you could apply the Product Rule of Exponents onto the exponents in the denominator, where it states, [tex]a^{m}a^{n} = a^{m+n}[/tex].
Please mark my answers as the Brainliest if you find my explanations helpful :)
You paint 1/3 of a wall in 1/4 of an hour. At that rate, how long will it take you to paint one wall?
Answer:
45 minutes
Step-by-step explanation:
1/4 of an hour is equal to 15 minutes
15 * 3 = 45
The answer is 45 minutes
It takes you 45 minutes to paint one wall.
please help :(. i don’t know how to do this
A dairy needs 357 gallons of milk containing 5% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 1% butterfat must be used to obtain the desired 357 gallons?
9514 1404 393
Answer:
238 gallons 7%119 gallons 1%Step-by-step explanation:
Let h represent the number of gallons of high butterfat content milk. Then 357-h will be the number of gallons of 1% milk. The total amount of butterfat in the mix is ...
0.07h +0.01(357 -h) = 0.05(357)
0.06h = 14.28 . . . . . . . . . . subtract 3.57, collect terms
h = 238 . . . . . . . . . . divide by 0.06
357-h = 357 -238 = 119
238 gallons of 7% and 119 gallons of 1% are needed.
how much of the circle is shaded 1/3 3/7
Answer:
876
Step-by-step explanation:
2 3 - 3 / 23- sa
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is units because translations length.
The first box is 20 and the second box is preserve
Answer:
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is 20 units because translations do not change the length.
please helpppppppppppppppppppp
Answer:
I got c
Step-by-step explanation:
18 minus plus 5 plus 7 is -30 so it dont represent zero
Answer:
C
Step-by-step explanation:
Which of the following is true given that - 2/5 < 1/3
A.
is to the right of 1/3 on a horizontal number line
B.
is at the same place as 1/3 on a horizontal number line
C.
is to the left of 1/3 on a horizontal number line
D.
is the opposite of 1/3 on a horizontal number line
Answer:
C
Step-by-step explanation:
Is to the left of 1/3 on a horizontal number line.
ILL GIVE BRAINLY, HELP IF YOU ARE INTERESTED. THANK YOU
Answer:
First box is 7x + 21, because when you distribute, you are multiplying the term on the outside of the paranthesis with the term(s) on the inside of the paranthesis.
Second box is 21 + 7x, because the communitive property is basically the same except the terms may be flipped. (Nothing else is different, all terms and signs stay the same, and has the same product/answer.)
Step-by-step explanation:
Hope this makes sense.
Please tell me if I'm wrong :)
Answer:
wrong you for the points you bozzo
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
[tex]y = x + \pi[/tex]
Step-by-step explanation:
We need to find the slope of the line tangent to y at [tex]x=-\pi[/tex] and we can do that by calculating the derivative of y at that point. We know that
[tex]y'(x) = \dfrac{d}{dx}(\tan{x}) = \sec^2{x}[/tex]
and
[tex]y'(-\pi) = \sec^2(-\pi) = 1[/tex]
To find the equation of the tangent line, we know that the line passes through the point [tex](-\pi, 0)[/tex] so we can write the slope-intercept form of the line's equation as
[tex]0 = (-\pi) + b \Rightarrow b = \pi[/tex]
Therefore, the equation of the line tangent to the point [tex]x = -\pi[/tex] is
[tex]y = x + \pi[/tex]
The graph of the two functions is shown above.
In the playing card deck below what is the chance of pulling 2 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the decimal
Answer:
.049774
12/52 x 11/51 = .04977376
All of the following are steps your group should follow to be effective, except: a. Identify and define the problem. b. Analyze the problem. c. Discuss one solution. d. Take action. Please select the best answer from the choices provided A B C D
Answer:
C) Discuss one solution.
Step-by-step explanation:
There could be more than one solution, so it's best to discuss all of the solutions and decide which is best ^^
I also got it right on Edge :)
Eleanor has £50. Trevor takes £y. Write an expression for how much Eleanor has got left.
Answer:
50-y
Step-by-step explanation:
Hope this helps :).
100 points and brainleist to whoever gets these right
Answer:
the answer is 8 that is
4/1/2
4÷1/2
4×2/1=
8
Answer:
#14/(1/2) = 4*2 = 8#2(12.034) + 5/8 = 12.034 + 0.625 = 12.659#3(2/3)/(1/6) = (2/3)*6 = 4#4(3.406) + 3 4/7 = 3.406 + 3.571 = 6.977 (4/7 is rounded to the nearest thousandths)#53/5 = Rational0 = Whole & Integer & Rational -25/5 = -5 = Whole & Integer & RationalCan someone help me please thank you :)
Answer:
a
Step-by-step explanation:
i need help with this
Answer:
I love you baby
Step-by-step explanation:
I love you baby to quit all night I love you baby
Write a quadratic equation in STANDARD FORM given the roots:
1, 1/2
Answer:
f(x) = 2x^2 - 3x + 1
Step-by-step explanation:
The root 1 is associated with the factor (x - 1).
The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)
The quadratic in question is f(x) = (x - 1)(2x - 1). To write this in standard form, perform the indicated multiplication:
f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1
Nicole has a pack of playing cards & she chooses a card at random. what is the probability that she picks an ace?
Give your answer as a fraction in its lowest form
Answer:
1/13 (1 in 13)
Step-by-step explanation:
so, there's 4 aces in a standard deck of 52 cards.
so far, we can see this as 4/52 (4 in 52)
these are both divisible by 2, lets go ahead and simplify that to 2/26
still divisible by 2. this then becomes 1 /13
so, she has a 1/13 (1 in 13) chance to get an ace.
Given the diagram, complete the two-column proof and
solve for x.
Answer:
x=7
Step-by-step explanation:
11x+57=15x+29 [Alternate exterior angles]
57-29=15x-11x
28/4=x
7=x
Answer:
Nnnnnnnnnnnnnnn
7x =x
Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink
Answer:
a
Step-by-step explanation:
wht not
Write an equation of the line perpendicular to the given line that contains P.
P(5,-3); y=1/3x+4
Answer:
P(y,x)=P
y = 1/3x + 4
Step-by-step explanation:
My dinner cost $24.15 plus tip. I paid $28.98 total. What tip percentage did I leave?
Answer:
24.12+28.90
Step-by-step explanation:
4 + (8 + 4)3power -5
Answer:
i dont know what you want but exact form is 983/243
decimal form is 4.04526748
mixed form 4 [tex]\frac{11}{243}[/tex]
Step-by-step explanation:
Each week Christian earns $X fixing bicycles and receives $10 as his allowance to find how much he will earn in total over two weeks Christian calculate the following X +10+ X +10 what is another way Christian can calculate how much he will earn in total over the two weeks drag and drop the equivalent expression in the box
Answer:
B
Step-by-step explanation:
Can someone help me with this plzzzzzz
Math
1. What is 1 1/2 + 3/4
Answer:
2 1/4
Step-by-step explanation:
First, for adding, subtracting, and comparing fractions, it is good to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators = LCM ⇒ (2, 4) = 4. We should do = three halfs + three quarters = nine quarters. Thus, 2 1/4 or 2.25 is the answer.
1 1/2 + 3/4 = 9/8 = 2 1/4 or 2.25
Feel free to rephrase this in your own words! Hope this helps!
Write the equation of the line that passes through the points (-3, -3) and (8,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}[/tex]
Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.
2.57 mi/hr= how many m/min? Simplify your answer, round to the nearest tenth. Thanks.
Answer is 68.9 m/min.
Step-by-step explanation :-Let's convert the units. To do this, we need to cancel the original units to get the units we want. We achieve this the following way :-
[tex]2.57 \frac{mi}{hr} \times \frac{1069.34 \: m}{1 \: mi} \times \frac{1 \: hr}{60 \: min} [/tex]
[tex] =>68.9 \: \frac{m}{min} [/tex]
Therefore, 2.57 mi/hr is the same as 68.9 m/min .
✍️ By Benjemin ☺️
what is the sum of the infinite geometric sequence 2,-1,1/2,1/4,...?
with solution
The common ratio with the range
−
1<r< 1
the formula is
S=a11−r
We will use this formula because,
r=12
Sum
S=a11−r=21−12=4
God bless....I hope the explanation is useful...
please help me out
find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)
Answer:
(-19,15)
Step-by-step explanation:
A collection of coins is worth $4.40 and is made up of nickels and dimes. If there are 75 coins total, how many dimes are in the collection?
Answer:
5.00
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
the nickels can add up to 60 nickels for 3$. then, i just started adding dimes until i get to $1.30 out of the remaining $1.40 (because we subtracted $3 from 60 nickels). we now have 73 coins. two more nickels adds 0.10, which finally gets us to the missing 1.40.
this probably didn't make sense, but I'm 98% sure its right.