Copy the problems on to your paper. Use your notes as reference.
Simplify each of the following:
Answers
Answer:
1. x⁴³/³⁵
2. 1/x⁶
3. x⁴/2
Step-by-step explanation:
1. ⁷√x³. ⁵√x⁴
The above expression can be simplified as follow:
Recall:
ᵐ√aⁿ = aⁿ/ᵐ
⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵
Therefore,
⁷√x³. ⁵√x⁴ = x⁴³/³⁵
2. x¯³ / x⁵x¯²
The above expression can be simplified as follow:
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³
Thus,
x¯³ / x⁵x¯² = x¯³ / x³
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
x¯³ / x³ = x¯³ ¯ ³ = x¯⁶
Recall
a¯ⁿ = 1/aⁿ
x¯⁶ = 1/x⁶
Therefore,
x¯³ / x⁵x¯² = 1/x⁶
3. 5(x⁴)³ / 10x⁸
The above expression can be simplified as follow:
Recall:
(aⁿ)ᵐ = aⁿ×ᵐ
5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2
Therefore,
5(x⁴)³ / 10x⁸ = x⁴/2
Related Questions
Please help as much as you can :)
Answers
9514 1404 393
Answer:
(x, y) = (3, 7)
Step-by-step explanation:
If you divide the second equation by 2, it becomes ...
-x +2y = 11
Adding this to the first equation gives you the value of y:
(x -y) +(-x +2y) = (-4) +(11)
y = 7 . . . . . . . . simplify
The first equation can be rearranged to give an expression for x:
x = y -4
x = 7 -4 = 3
Then the solution is seen to be (x, y) = (3, 7).
__
Personally, I like a graphing calculator for a quick and easy solution to many linear systems. (If the solutions are non-integers, it may not be so helpful.)
Presley's lemonade recipe uses 4 scoops of lemonade powder for every 2 1/2 cups of water. Presley uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should she use?
Answers
(i got the question correct on a test)
20/6 = x/36, what is the value of x?
Answers
Answer:
[tex]x = 20 \times 36 \div 6 \\ = 20 \times 6 \\ = 120[/tex]
Hope it helps
The circle graph shows the
number of votes received by each candidate during a
school election. Find the percent of students who voted
for the indicated candidate. (See Exploration 1, p. 247.)
10. Candidate A
11. Candidate B
12. Candidate C
Answers
Answer:
36%
Step-by-step explanation:
54/150=p/100
(150 comes from all of the numbers combined from the chart)
Do the math
150b=5400
divide both sides by 150
which gets you 36
just add the percentage
36%
Which graph represents the function f(x) = 4/x ?
Answers
Answer:
Check image
Step-by-step explanation:
The graph of the function f (x) = 4/x is shown in figure.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 4 / x
Now, We can draw the function f (x) = 4 / x.
Hence, The graph of the function f (x) = 4/x is shown in figure.
Learn more about the function visit:
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According to a survey, 61% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded.
(a) Find the probability that exactly 39 of the murders were cleared.
(b) Find the probability that between 36 and 38 of the murders, inclusive, were cleared.
(c) Would it be unusual if fewer than 20 of the murders were cleared? Why or why not?
Answers
Answer:
B
Step-by-step explanation:
I don't know if this is right but give it a like pls it would really make me happy.
PLZ HELP ME!!!! I'LL GIVE U EXTRA POINTS IF ITS RIGHT
Answers
Trisha has two boxes of marbles
Answers
Answer:
Trisha has two boxes of marbles than
to find probability
use formula
probability =no.of given marble/total no of marble
...............
The ratio of 1/7 to 1/5 is equal to 100 to ...?
A. 20/7
B. 20
C. 35
D. 100
E. 140
Answers
Answer:
Step-by-step explanation:
1/7:1:5=100:x
700(1/7):700(1/5)=100:x
100:700/5=100:x
100:140=100:x
x=140
What is the value of min the figure below? In this diagram, AABD - ABCD.
A. 336
B. 78
C. 126
D. 624
E. 52
F. 178
Answers
Answer: correct answer is C
Step-by-step explanation:
The value of m in the figure is √126.
Option C is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
ΔABD is similar to ΔBCD.
This means,
The corresponding sides ratio is equal.
AB/BC = BD/CD = AD/BD
AB/m = BD/7 = 11/BD
Now,
BD/7 = 11/BD
BD² = 77
BD = √77
Now,
ΔBDC
BC² = CD² + BD²
m² = 7² + 77
m² = 49 + 77
m² = 126
m = √126
Thus,
The value of m in the figure is √126.
Learn more about triangles here:
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Solve 2x – 5 = 7 ?
Please help !
Answers
Answer:
6
Step-by-step explanation:
1st step add 5 on both sides
2x=12
2nd step divide 2 on both sides
then you get.....
x=6
answer
x=6
Hello everyone, I just wanted to ask where are you from and what time is it in your country. For example, I'm from Lithuania and my current time is 22:57.
Answers
Answer:
Cool
Step-by-step explanation:
I'm from Puerto Rico and it is 57:08
Pls me me plsss help and show work
Answers
Answer:
Here ya go!
Step-by-step explanation:
What is the value of x?
5
c
6
b
4.2
d
x
a
Answers
Answer:
its b
Step-by-step explanation:
7x2vault3 6 squere-79=4.2
15℅ of 6th grade teachers give homework over the holiday break. If 12 teachers give homework, how many total 6th grade teachers are there? Please show your work
Answers
Answer:
12
Step-by-step explanation:
Its a trick question, 15% of 6th grade teachers give HW, but there are 12 teachers. its not gonna be 15% of 12, because you would also get a fraction of a teacher.
PLEASE HELP!! PLEASEEEE
Answers
Answer:
42
Step-by-step explanation:
BAC=90
BAD=48
DAC=BAC- BAD
=90-48
=42
Help pls show work if needed!!
Answers
Answer:
False
True
True
true
Step-by-step explanation:
65x+105=y
Substitute 6 for x to find the cost for 6 classes
65(6)+105=y
390+105=y
495=y
Kaitlin bought a sofa on sale for $468. This price was 35% less than the original price.
What was the original price?
Answers
Answer:
720
Step-by-step explanation:
468 = 65% of the original price
So,
468÷ 0.65 = 720 $. Just to be sure 720*0.35 = 468
I need help on the first top row please help!!
Answers
what is the capacity in litres of a rectangular tin that measures 20m by 20cm by 10cm
Answers
Answer:
0.4 liters
Step-by-step explanation:
Volume: length x width x height
Volume: 20 x 20 x 10
Volume: 400 cm cubed
1 cubic cm = 0.001 liters
400 cm cubed = 0.4 liters
Juan ran of a mile 2/5 every 4/7 of an hour. Find Juan’s rate in miles per hour
Answers
Answer:
Juan runs 7/10 of a mile every hour
Step-by-step explanation:
First find out how much he ran every 1/7 of an hour
2/5 x 1/4 = 4/7 x 1/4
1/10 = 1/7
1/10 x 7 = 1/7 x 7
7/10 = 1
5/9 (f – 32) when f = 50
Answers
Hope it’s right best luck with your studying
Answer:
10
Step-by-step explanation:
5/9(50-32)
5/9(18)
5/9×18=10
Hope this helps! :)
Jeremy has 9 roses. One-third of the roses are white. How many roses are white?
Answers
Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.
This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan
Answers
Answer:
The correct answer is B. Financial analysis.
Step-by-step explanation:
Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.
Answer:
B.
Step-by-step explanation:
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the following system of equations in the coordinate plane. Use the Mark Feature tool to indicate the solution to the system on
the graph.
33 - 2y = -12
y = 4 +1
Drawing Tools
Click on a tool to begin drawing
Undo
Reset
Select
Mark Feature
+
A
10
Line
6
Pre-Ala 7 Inequ....pdf
Show A
Answers
y=4x+1
3x-2(4x+1)= -12
3x-8x-2= -12
-5x=-12+2
-5x=-10
x= -10/-5
x=2
y=4x+1
y=4•2+1
y=8+1
y=9
(x,y) = (2,9)
The solution to the system of equations is (2,9)
The system of equations is given as:
3x - 2y = -12
y = 4x + 1
Start by plotting the graphs of 3x - 2y = -12 and y = 4x + 1
From the graph (see attachment), the point of intersection of both lines is:
(x,y) = (2,9)
Hence, the solution to the system of equations is (2,9)
Read more about system of equations at:
https://brainly.com/question/14323743
Which of the following terms best describes the relationship between /W and /X ( Answer as soon as possible please)
Answers
Answer:
B. Same-side interior angles
Step-by-step explanation:
Angle w and angle x lie on the same side of the transversal that cut across the two parallel lines, and are also within the two parallel lines. They are therefore regarded as same-side interior angles. Same-side interior angles are supplementary.
Joe has $300 in the bank right now and saves $25 per month. Leah has $150 in the bank right now, but she is able to save $35 per month. How long will it take them to have the same anount of money saved?
Answers
Answer:
15 months
Step-by-step explanation:
300+25x=150×35x
150=10x
x=15
3/7 as a percentage (closest as possible)
Answers
Answer:
your answer will be 42.857143%
what does 1+1=pls tell
Answers
Answer:
its 11
Step-by-step explanation:
.....…............
what is the percent change for 45 to 8
Answers
Hope I helped