Answer:
x=4
Step-by-step explanation:
Just need someone to clarify things with me!
As I was solving this equation, I got:
x^-2
-------
x^10
I moved x^-2 down with x^10
So in x^-2's place, I placed a positive 1.
1
----------------------
x^10 times x^-2
The radical rule here is to pretty much subtract ahead. However, this extremely smart person said something like if I move a negative number to the denominator, it becomes positive. However, in this case, x^-2 stays the same.
Anyone explain here??
Answer:
[tex]\frac{1}{x^{12} }[/tex]
Step-by-step explanation:
Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]
The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1: [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]
Then, you'll have to work on the denominator:
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]
Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:
[tex](x^{-5})^{2} = x^{-10}[/tex]
Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]
At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]
So the denominator now becomes:
[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]
Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:
[tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]
Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]
A decimal that is 1/10 of 3.0
Mr.jones filled his swimming pool with water
then go and swimand enjoy your holiday
side length of a cube with a volume of 614cm
Answer:
just get the cube root of 614
What 2 numbers have a total of 34 and a difference of 8?
Answer:
21 and 13
Step-by-step explanation:
I am super confused about my stats homework. Every time I get the question wrong, it gives me a new set of numbers. Help!
An amount increased by 10% to 517.
What was the original amount?
Answer:
470
Step-by-step explanation:
x is the amount that represents 100 %
517 amount that represents 100%+10% increase = 110%
x = (517 *100) / 110 = 470 is the original amount
3 out of 100 is what percentage?
A 3%
B 30%
C 18%
D 100%
Answer:A 3%
Step-by-step explanation:
Equivalent fractions
Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.
Step-by-step explanation: Hope this help. hit me up if u need some more help
Answer:
1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48
2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24
3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12
4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36
5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27
Step-by-step explanation:
The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.
For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.
Hopes this helps you!
Mr. Korhonen use 1/8 of a cup of laundry detergent when he does a load wash how many cups will have need to do 4 loads
The list shows the thicknesses of several different types of art paper.
Thickness
(cm)
0.004
0.007
0.011
0.011
0.012
0.020
0.200
0.214
What is the range of this set of data?
O A. 0.055
OB. 0.210
OC. 0.214
OD. 0.218
O E. 0.498
Y
Answer:
B. 0.210
Step-by-step explanation:
Range is the minimum value subtracted from the maximum value. In this case 0.004 is the smallest value and 0.214 is the largest.
Range = 0.214 - 0.004 = 0.210 = B
The range set of the given data is 0.21.
The given data sets are,
0.004
0.007
0.011
0.011
0.012
0.020
0.200
0.214
We know that,
In statistics, the range is the difference between the highest and lowest values for a given data collection.
For instance,
if the given data set is 2,5,8,10,3, the range is 10 - 2 = 8.
As a result, the range can also be defined as the difference between the highest and lowest observations.
The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.
Now to find the range set pf the given data,
Subtract minimum value to maximum value
Since maximum value = 0.214
And minimum value = 0.004
Then range set = 0.214 - 0.004
= 0.21
Thus, range of set ⇒ 0.21
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26 is 38% of what number
Answer:
68.42105263157895
Step-by-step explanation:
Answer:
68.42
Step-by-step explanation:
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
We have that, how long it will take for Liu to catch Mariel is mathematically given as
t=3.076s
From the question we are told
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
Generally the equation for the Average speed is mathematically given as
[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]
Therefore
How long it will take for Liu to catch Mariel is mathematically given as
[tex]t=\frac{20}{6.5}[/tex]
t=3.076s
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At what values of the variable a is the value of the expression a (a + 5) greater than the value of the expression a (a - 4)?
Answer:
every number that is less than -1
Step-by-step explanation:
what is the value of the function when x = 0?
Answer:
f(0) = -2.
Step-by-step explanation:
This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0. Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.
Therefore, the value of the function when x = 0 is: f(0) = -2.
What is 56 divided by 98
Answer:
0.571428571
Step-by-step explanation:
Simply go into a calculator app and say 56/98
Question 10 of 10
Simplify 43.45
A. 168
B. 16.15
C. 48
O O
D. 415
SUBMIT
Answer:
C
Step-by-step explanation:
4^3 x 4^5 =4^8
You add the exponents together because they have the same base and it's multiplication sum.
Find a10, for the geometric sequence an = 3(4)^n-1.
A. 262,144
B. 786,432
C. 1,048,579
D. 3,145,728
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km/h slower than the other. If the two cyclists are 120 kilometers apart after 2 hours, what is the rate of each cyclist?
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
HELLLPPPPP PLSSSSSS
Why do you have to use the quadratic formula for the following instead of factoring?
x^2 - 12x - 20 = 0
Answer:
There are no factor that you can find that when two factors are multiply together your get a product of -20 and when you add then you get -12
Step-by-step explanation:
7x^2-4+6x^3-4x-x^4 in standard form?
Answer:
-x^4 + 6x^3 + 7x^2 -4x -4
Step-by-step explanation:
Convert to - 5/8 to its decimal form using long division. If your answer is a repeating decimal, make sure your decimal goes 5 place values after the decimal or the sequence of numbers that repeat if it is more that five decimal places after the decimal. *
Answer: 5/8 as a decimal is expressed as 0.625.
Hope it helps!
What is the Gcf of the number below
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
The list of factors is 2, 3, 5, 7. The list of common factors is 2, 3, 5. The lowest exponents on those factor are ...
2^2 × 3^1 × 5^1 = 60
The GCF of 720 and 2100 is 60.
_____
Additional comment
You can verify this using Euclid's method of finding the GCF.
2100/720 = 2 r 660
720/660 = 1 r 60
660/60 = 11 r 0 . . . . 60 is the GCF
Find the remainder from the division. If it is zero, the divisor is the GCF. If it is non-zero, replace the largest number with the remainder, and repeat.
for questions 4 use the graph provided.
PLEASE HELP.
Step-by-step explanation:
according to the drawing:
the first domain : -1≤ x ≤ 0
the second domain : 0< x < oo
the total domain : [-1, oo)
the first range : 0 ≤ y ≤ 1
the second range : -1< y < oo
the total range : [0, oo)
so, the correct answer is
a. Domain: [-1, oo) Range : [0, oo)
Domain:-
Set of x valuesHere
This is a piecewise function
So domain is
[-1,0]U(1,oo)[-1,oo)Range:-
Set of y valuesHere thats
[0,1]U[1,oo)[0,oo)what multiplies to get 27 but adds to get -1
Answer:
9×3
and
-26
Step-by-step explanation:
9×3=27
27+-26
Does the graph represent a function that has an inverse function
9514 1404 393
Answer:
No
Step-by-step explanation:
A horizontal line can be drawn that intersects the graph in more than one place. That means the graph fails the "horizontal line test" and does not have an inverse function.
(The horizontal line shown intersects in 3 places.)
Use the distributive property to write an equivalent expression to -4(p+ 4) that
has no grouping symbols.
please help
Answer:
-4p-16
Step-by-step explanation:
Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation. What is his net pay? Enter your answer rounded to the nearest cent, such as: $4253.64.
Patrick's net income will be equal to $1178.41.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation.
Patrick's net income will be calculated as below:-
26% of $1592.45 = 1592.45 x ( 26 / 100 ) = 414.037
Subtract the deduction from the gross amount:-
Net income = 1592.45 - 414.037 = $1178.41
Therefore, Patrick's net income will be equal to $1178.41.
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t=(m+b)x solve for x
Answer:
[tex]x=\frac{t}{m+b}[/tex]Step-by-step explanation:
T = (m + b)x
Divide both side by (m + b):
[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]
Cancel out (m + b) and you have your answer!
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