Answers
The correct answer is: " [tex]j^(^-^4^)[/tex] "; or; write as: " [tex]j^{-4}[/tex] ".
_______
Step-by-step explanation:
Given: " [tex]\frac{j}{j^4* j}[/tex] " ; assuming: " [tex]j\neq 0[/tex] " ;
_______
We are asked to express the correct answer (i.e. simplying the expression in a specific manner): "as a single term, without a denominator."
_______
As such, we can cancel out the "j" in the numerator, to "1" ; and cancel out the "j" in the denominator; to "1" ; since: " j ÷ j = 1 " ;
→ And we can rewrite the expression as:
" [tex]\frac{1}{j^{4}* 1 }[/tex] " ;
= " [tex]\frac{1}{j^4}[/tex] " ;
_______
Now, note the following property of exponents:
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" [tex]x[/tex]⁽⁻ⁿ⁾ = [tex]\frac{1}{x^n}[/tex] " ; {" [tex]x\neq 0[/tex] "} ;
_______
Likewise:
" [tex]\frac{1}{j^4}[/tex] ⇔ " [tex]j^(^-^4^)[/tex] " ; which is the correct answer:
→ " [tex]\frac{1}{j^4} = j^{-4}[/tex] " .
_______
Hope this is helpful to you!
_______
Hi! I will help you with a smile! :)
Recall the Properties of Exponents:[tex]\bold{a^{m} *a^n =a^{m+n}}[/tex]Now, let's use this property to solve our problem:[tex]\displaystyle\frac{j}{j^{4} *j}[/tex][tex]\displaystyle\frac{j}{j^{4+1} }[/tex][tex]\displaystyle\frac{j}{j^{5} }[/tex]Now, here comes the 2nd Property of Exponents:[tex]\displaystyle\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]Let's use this property to solve our problem:[tex]\displaystyle\frac{j}{j^{5} } =j^{1-5}[/tex]Think of j as j to the first power.Now, subtract the exponents:[tex]\bold{j^{-4}}[/tex]Answer:
[tex]\huge\boxed{j^{-4} }}\checkmark[/tex]
Hope it helps.
Please comment if you have any doubts.
Answered by
[tex]\fbox{PeacefulNature}[/tex]
[tex]\text{Enjoy Your Day, Evening, or Night!}[/tex]
Related Questions
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer: A
Step-by-step explanation:
Divide top and bottom by 4
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The simplest form of the fraction is simply finding a common number to divide both the numerator and denominator by.
4/8 , we can divide both sides by 4 since it's possible to do so.
[tex]\frac{4/4}{8/4}[/tex]
[[tex]\frac{1}{2}[/tex]]
A. is the simplest form
someone can help me for all the question ?
Answers
Answer:
1. 5
2. 3 adult tickets; 2 child tickets
3. See below
Step-by-step explanation:
1.
2 adult tickets cost 2 × $12 = $24
Subtract $24 from $64:
$64 - $24 = $40
Divide $40 by $8:
$40 ÷ $8 = 5
Answer: 5 child tickets
2.
x = number of adult tickets
y = number of child tickets
The total number of tickets is 5, so the first equation is:
x + y = 5
The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:
12x + 8y = 52
The system of equation is:
x + y = 5
12x + 8y = 52
Let's solve it by substitution.
Solve the first equation for x.
x = 5 - y
Now we substitute x in the second equation by 5 - y.
12(5 - y) + 8y = 52
Distribute:
60 - 12y + 8y = 52
Combine like terms on the left side:
-4y + 60 = 52
Subtract 60 from both sides:
-4y = -8
Divide both sides by 4.
y = 2
Substitute y = 2 in the first original equation and solve for x.
x + y = 5
x + 2 = 5
x = 3
Answer: 3 adult tickets; 2 child tickets
3.
The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.
We can also show his claim is false using a system of equations.
x + y = 7
12x + 8y = 71
Use substitution.
x = 7 - y
12(7 - y) + 8y = 71
84 - 12y + 8y = 71
84 - 4y = 71
-4y = -13
y = 3.25
This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.
What is the equation of the line of best fit that Pat drew?
OA.
y = -51 + 3
OB.
y = -5.7 + 7
O C.
Y =
* + 3
-Br
y = -x + 7
OD.
Answers
Answer:
B) y = -5x + 7
Step-by-step explanation:
Pick 2 points on the line: (10, 5) and (15, 4)
slope = change in y ÷ change in x = (15 - 10) ÷ (4 - 5) = -5
from inspection, the y-intercept is (0, 7)
Therefore, using slope-intercept formula: y = mx + b
(where m is the slope and b is the y-intercept)
y = -5x + 7
Write 5y^3 without exponents.
Answers
Answer:
can be written as without exponent.
Given:
To find:
Write the given expression without exponent.
Solution:
Formula to be used:
Step 1:
Write the expanded form of given expression.
Step 2:
simplify
or
125×y×y×y without exponent.
Answer:
5 × y × y × y
Step-by-step explanation:
5y³ ( only y is being cubed with 5 a multiplier ) , so
= 5 × y × y × y
in the diagram below, the value of y must be
Answers
Answer:
y = 45°
Step-by-step explanation:
4 sides = 360°
(2y+1)° + y° + 112° + 112° = 360°
2y + y = 360 - 112 - 112 - 1
3y = 135
y = 135÷3
= 45°
HELP I GIVE BRAINYEST The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A=8x -10^\circ}∠A=8x−10
∘
start color #11accd, angle, A, equals, 8, x, minus, 10, degrees, end color #11accd \qquad \green{\angle B=3x + 90^\circ}∠B=3x+90
∘
start color #28ae7b, angle, B, equals, 3, x, plus, 90, degrees, end color #28ae7b
Answers
Answer:
B = 150
Step-by-step explanation:
Since angles A and B are opposite interior angles, they are congruent.
8x - 10 = 3x + 90
8x - 3x = 90 + 10
5x = 100
x = 20
Now that we have the value of x, we have to solve for angle B.
B = 3x + 90
B = 3*20 + 90
B = 60 + 90
B = 150
Answer: the right answer on khan academy is 150° (with PROOF)
For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the apprentice. If together they were $213, how much did he esrn
Answers
Answer: (with explanation) (ANSWER AT THE BOTTOM)
et P = number of hours that the plumber worked.
let H = number of hours that the helper worked.
since the plumber worked 3 more hours than the helper, the equation for hours worked is
P = H + 3
-----
since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.
this equation is
(28*P) + (15*H) = 213 dollars
-----
both get the same answer.
-----
-----
substitute for P in the money equation since P is the same as H + 3.
equation becomes
(28*(H+3)) + (15*H) = 213
solve for H.
28*H + 28*3 + 15*H = 213
43*H + 84 = 213
43*H = 129
H = 3
-----
if H = 3, then P = 6 because P = H + 3.
-----
6*28 + 3*15 = 213 so your answer is
Plumber works 6 hoursHelper works 3 hours.now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.
let's do the Plumber first
28x6=168
now the helper
15x3=45
---------
now to check if that was the right answer, let's add them up...
168+45=213
so, our answer is right.
-----------------
The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.Answer:
mark other guy brainly, his answer is right, and he truly deserves it, he got expert verified
Step-by-step explanation:
please help I will give brainlyest
Answers
Answer:
See below.
Step-by-step explanation:
The answer is D. M and O are congruent, but that is not an option, so the focus goes towards M and N. M and N are similar, but are not congruent.
-hope it helps
Answer:
M and N are similar but not congruent.
Step-by-step explanation:
4(n+6)+3n is greater than or equal to 3n-4
Answers
Answer:
7n+24 is greater than that 3n-4
Step-by-step explanation:
First Distributive Property
4(n+6)+3n
Combine like terms
4n +24+3n
7n+ 24
Explanation
7n+24 is greater than that 3n-4
This is very urgent please help!
Answers
1/8; 0.2; 13/26; 3/5; 7/8; 1.09; 1.19; 1.5; 1.9
(a) A retailer bought a compact disc form a manufacturer for $20. In addition to that he paid a 15% value-added tax. If he sold the disc to a custmer for $26, calculate the cash profit he made. (use this question for question below)
(b) The manufacturer later increased the price of the compact disc by 20%. At the same time, the value- added tax was increased to 25%.
( use for below question answer: $30) ^^^^
(i) If the retailer made the same cash profit as before,calculate the price a customer had to pay for a disc.
Answers
Answer:
$23
Step by step explanation
Solve for p: p/10 = 7.2/36
Answers
Can someone help me with this please
Answers
Answer:
medium: 16large: 18Step-by-step explanation:
Using the variable definitions shown, the two given relations are ...
11 +x +y = 45 . . . . . . 45 total orders
x = y -2 . . . . . . . . . . 2 fewer medium orders than large
__
Using the second equation, we can substitute for x in the first equation to solve this system:
11 +(y -2) +y = 45
2y = 36 . . . . . . . . . . collect terms and subtract 9 from both sides
y = 18 . . . . . . . . . . . divide both sides by 2
x = 18 -2 = 16 . . . . use the second equation to find the value of x
16 people ordered medium, and 18 people ordered large coffees.
Hay algo que, aunque te pertenezca, la gente siempre lo utiliza más que tú. ¿Qué es?
Answers
Answer:
Respuesta: tu nombre (Answer: your name)
Step-by-step explanation:
Please help I will give Brainliest.
Answers
Answer:
$21,600
Step-by-step explanation:
h(x) = 5000 · (1.08)^4
5000 · 4.32
h(x)= 21,600
Answer:
$6802.44
Step-by-step explanation:
We will replace x with 4.
h(4) = 5000 · (1.08)^4
Use a calculator from here if you don't want stress.
1.08 x 1.08 x 1.08 x 1.08 = 1.36048896
1.36048896 x 5000 = 6802.4448
Since we are looking at the cost, we will approximate to the nearest hundredth.
6802.4448 ≈ 6802.44
The cost is $6802.44.
what is this equation 6x-4y=18 and -x-6y=7
Answers
Step-by-step explanation:
here you have answer.....
I need help. I will give 15 points for the answer.
Answers
Answer:
a) because all the angles of both of the triangle of equal and help by angle angle similarity criteria we can say that ∆ABCis similar to ∆PQRb) since ∆ABC~ ∆PQR[tex] \frac{ab}{ac} = \frac{pq}{pr} [/tex][tex] \frac{6}{ac } = \frac{18}{27} \\ ac = \frac{6 \times 27}{18 } \\ ac = 9cm[/tex]Hope it helps you<3Korey and lan are arguing about how to find the perimeter of a rectangle. Korey says you should add the length and the width and then multiply the sum by 2. Ian says you should double both length and width and then add them together who is correct
Answers
Answer:
They are both right
Step-by-step explanation:
This is because you can do it either way.
For example, if you had a rectangle with the side length 10 and a width 5,
-Korey: you could add them to get 15 and them double them to get 30
or
-Ian: double both (5*2=10 and 10*2=20) and then add and 10+20 = 30
So they are the same
in a all-area track meet 271 sprinters enter a 200-meter dash competition. the track has 7 lanes so only 7 sprinters can compete at a time. at the end of each race, the six non-winners are eliminated, and the winner will compete again in later race. How many races are needed to determine the champion sprinter?
Answers
The number of races needed to determine the champion sprinter = 39 races.
Calculation of number of racesThe number of sprinters = 271
The number of sprinters per race= 7
The area to be covered for each race = 200m
For every race covered, a champion is selected and the rest is eliminated.
Therefore, to determine the remaining champion from 271 sprinters,
271/ 7 = 38.7
Which is approximately 39 races.
Learn more about meter here:
https://brainly.com/question/25092270
What does the random variable for a binomial experiment of n trials measure?.
Answers
Answer:
What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.
Step-by-step explanation:
Please help will give most Brainly
Answers
I need a SIMPLE definition of the addition property of equality, subtraction property of equality, multiplication property of equality, and division property of equality.
Answers
Subtraction property of equality: tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
Write an equation of a line that is perpendicular to the line whose equation is
2y = 3x – 10 and passes through (–6, 1).
Answers
Answer:
point-slope form: [tex]y-1=\frac{-2}{3}(x+6)[/tex]
y-intercept form: [tex]y=\frac{-2}{3}x-3[/tex]
Step-by-step explanation:
hope this helps :)
find X
15x and 8x-2
i will give brainliest
Answers
Answer:
x = 4
Step-by-step explanation:
15x + 8x -2 = 90
23x - 2 = 90
23x = 90+2
23x = 92
92/23 = 4
check answer:
4 x 15 = 60
4 x 8 = 32
32-2=30
60+30=90
Answer:x=4
Step-by-step explanation: we know,
90 + 8x-2+15x=180
90+23x-2=180
88+23x=180
23x=180-88
x=92/23
x=4
divide 20000 in the ratio in the 5:4:1
Answers
Answer:
5+4+1=10
20000/10=2000
5x2000:4x2000:1x2000
10000:8000:2000
As the height of the cylinder increases, its volume decreases.
Which is the independent variable?
height or volume
Answers
Answer:
height is independent
Step-by-step explanation:
as you change the height, the volume changes accordingly.
Problem shown on the picture
Answers
Step-by-step explanation:
please answer those Questions Mathematics
There is a rectangle. The long side is 8.2cm the short side is 3.6cm. Find the area. (Include units)
Answers
Answer:
29.52cm sqauared
Step-by-step explanation:
length x width = area of rectangle
Answer: 29.52cm2
Step-by-step explanation:
8.2 times 3.6=...
what are the domain and range of f(x)=2(x-8)-10
Answers
Answer:
Domain: All real numbers
Range: f(x) ≥ - 10
Step-by-step explanation:
I had the same test. Completed it and got it right.
Sorry for the lack of explanation, I can't put it into words at the moment.
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answers
Answer:
m∠3 = 55°
Step-by-step explanation:
m∠1 = m∠4 (parallel lines with same angle)
m∠2 = m∠3 (parallel lines with same angle)
apply whole angle measure equals to 360°
11x -7 + 5x - 5 + 11x -7 + 5x - 5 = 360
32x -24° = 360°
32x = 384°
x = 12°
Therefore
m∠3 = 5x - 5
m∠3 = 5(12) - 5
m∠3 = 55°
[tex]\\ \tt\hookrightarrow 11x-7+5x-5=180[/tex]
[tex]\\ \tt\hookrightarrow 16x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 16x=192[/tex]
[tex]\\ \tt\hookrightarrow x=12[/tex]
<3=<2=5(12)-5=60-5=55°