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].
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A parking lot is 400 yards long and 300 yards wide. If you make it 10 inches long, how wide should it be?
The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.
Answer:
Mean: 30 mL
Standard Deviation: 45mL
Step-by-step explanation:
Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54
Answer:
[tex]54[/tex]
Step-by-step explanation:
[tex] a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
what would the coordinates (10,-3) lie on?
what is 2,665 divided by 36 witha remainder?
74 R28
So sorry if its incorrect!
how do you solve the following equation?
10-s=34
Answer:
-24
Step-by-step explanation:
10-s=34
collect like terms
10-34=s
s=-24
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
X/4=-5/20
Algebra
Solve for x
Answer:
Algebra =
X/4 = -5/20
Simplify :
X/4 = -1/4
Of course, Will same x/4 = -1/4
Answer : X = -1x = -1
Step-by-step explanation:
[tex]\begin{aligned}\tt\frac{x}{4}&=\tt\frac{-5}{20}\\\tt 20x&=\tt -5\times 4\\\tt 20x&=\tt -20\\\tt x&=\tt -1\end{aligned}[/tex]
A tennis player hits a ball hard and 0.4 s later hears the echo sound from a wall. The speed of sound in air is 330 ms. How
?far away is the player from the wall
The distance traveled by the echo is used to determine the player's distance from the wall
The player's distance from the wall is 66 m.
Reason:
Known parameter;
The time after which the tennis player hears the echo of the ball, t = 0.4 s
The speed of sound in air, v = 330 m/s
The distance of the player from the wall = Required
Solution:
Let d, represent the distance of the player from the wall
An echo is the reflection the wave of the sound of hitting the ball that
travels to the wall and back
The distance traveled by the sound to the wall, d, and back, (d again), is 2·d
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Therefore;
[tex]The \ speed \ of \ the \ sound,\ v = \dfrac{2 \cdot d}{t}[/tex]Therefore;
[tex]330 = \dfrac{2 \cdot d}{0.4}[/tex]
330 × 0.4 = 2·d
[tex]d = \dfrac{330 \times 0.4}{2} = 66[/tex]
The distance of the player from the wall, d = 66 mLearn more here:
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Find the standard deviation of the given data rounded to the nearest hundredth.3, 4, 5, 7, 10, 12, 15
Answer:
4.140393356
Step-by-step explanation:
Mean = (3+4+5+7+10+12+15) / 7 = 8
Count = 7 numbers
Sum of the numbers = 56
Each number minus the mean =
(3-8=-5)(4-8=-4)(5-8=-3)(7-8=-1)(10-8=2)(12-8=4)(15-8=7)
Now square of each of these numbers:
25+16+9+1+4+16+49 = 120
Variance = 120/7 = 17.14285714
Standard deviation = square root of the variance
Sqrt 17.14285714 = 4.140393356
Solve using the square root method X2=25
Answer:
Square root =
remember :
[tex]\boxed {x^2 = \pm a}[/tex]
x² = ± a
x = ña
.
x = ñ25
x = ±5
• x = 5 and -5
one of the root of the quadratic equation x²-(4+p)x+12=0 is three time the other find the root of the equation
Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
Learn more about the quadratic equations:
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16 teams of hockey are playing. each team plays two matches against another team. how many matches are played
Answer:
240
Step-by-step explanation:
54 in. to 5ft write a ratio and fraction needs to be in lowest terms
Answer:
Step-by-step explanation:
54/5=10 4/5
A dairy needs 396
396
gallons of milk containing 6%
6
%
butterfat. How many gallons each of milk containing 8%
8
%
butterfat and milk containing 2%
2
%
butterfat must be used to obtain the desired 396
396
gallons?
Answer:
pop music of 90
What is 504,622 + 715,336?
Answer:
1,219,958
Step-by-step explanation: You add 2+6=8 + 10+3=13 + 19+3=22 + 26+5=31 + 31+1=32 + 5+7=13, add them all and its equal to 1,219,958.
SOMEONE HELP PLZ 20 POINTS
JUST NEED HELP IN THE LAST 4
Answer:
the last one is
four cubed plus 8 to the 4th power
4^3 + 8^4
4160
Step-by-step explanation:
Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?
Answer:
10 liters of 40% solution
10 liters of 10% solution
48 times 25 in distributive property
Answer:
1200
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST!!!!!Tell me pls but pls no files
Answer:
I think its A
Step-by-step explanation:
Somebody Help please !!!!!!
Answer:
The image is blocked
Step-by-step explanation:
HELPPP PLEASE I GIVE BRAINLIEST
Answer: 1/2
Step-by-step explanation:
55 is close to 50
99 is close to 100
55/99 is close to 50/100 = 1/2
Using a calculator, 55/99 = 0.556 approximately which rounds to 0.5 = 1/2
Answer:
1/2
Step-by-step explanation:
55/99 = 0.555
0 = 0
1/2 = 0.5
1 = 1
1 1/2 = 1.5
Hopefully this helps!
Brainliest please?
NO LINKS OR ASSESSMENT!!
Write a rule to describe each transformation. Part 5
Answer:
(x, y) → (x + 3, y + 6)Step-by-step explanation:
This is a translation up and right.
Compare the coordinates of corresponding points:
X(-5, -3) and X'(-2, 3)The difference of coordinates:
-2 - (-5) = 33 - (-3) = 6The rule:
(x, y) → (x + 3, y + 6)The Campbells are saving up to go on a family vacation in 5 years. They invest $2800
into an account with an annual interest rate of 1.46% compounded monthly. Assuming no withdrawals are made, how much money is in the Campbells' account after 5 years?
Answer:
look at the explanation 20,440
Step-by-step explanation:
so the invested 2,800 $ and the interest rate is 1.46 so first what I would do is 1.46 times 5 = 7.3 then 7.3 x 2,800 =20,440
so I think the answer is 20,440
not sure if this is correct but I gave it my all
or you could just do 2800 time 5 time 1.46
someone help me pls
the answer is 33 because 3+3=6*10-35+2
When you multiply or divide a positive and a negative number you get a _________
Answer:
You also have to pay attention to the signs when you multiply and divide. There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.
Step-by-step explanation:
a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?
******Please help me please help me help please help*****
Answer:
sorry
Step-by-step explanation:
sorry
1 gallon can of paint for $13.99 and 5 gallon bucket of paint for $67.45. Which one is cheaper
Answer:
the 5 gallon
67.45 ÷ 5= $13.49
SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!
Answer:
B. x=4
Step-by-step explanation: