Answer:
14
Step-by-step explanation:
Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4
According to indices;
[tex]a^{m/n} = (\sqrt[n]{a}) ^m[/tex]
Applying this to the question
[tex]64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32[/tex]
Similarly
[tex]27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\[/tex]
Also;
[tex]81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27[/tex]
Substitute inti the original equation
64^5/6 + 27^2/3 - 81^3/4
= 32 + 9- 27
= 41 - 27
= 14
Hence the required answer is 14
A. What is the perimeter of the rectangle?
B. What is the area of the rectangle?
Answer:
A) perimeter = 3 + 3 + 8 + 8 = 22 units
B) area = 3 x 8 = 24 units²
Step-by-step explanation:
Find the value of d, the length of the diagonal across the square. If
necessary, round your answer to 2 decimal places.
20 points pls help!
Answer:
28.28
Step-by-step explanation:
The diagonal of a square is [tex]\sqrt{2}[/tex] times the length of a side of the square.
So the diagonal of your square is 20[tex]\sqrt{2}[/tex] = 28.28
At the store, Craig bought 2 staplers and 4 pads of paper for $24. On
another day, he bought 3 staplers and 3 pads of paper for $21. How
much does each a stapler and a pad of paper cost?
Answer:
Step-by-step explanation:
2x+4y+24
3x+3y=21
A woman is looking up at a bird perched on top of a tree. Her line of sight to the bird is at an angle of elevation of 44°. If the woman’s eyes are 5 feet off the ground and she is 17 feet away from tree, how far up the tree is the bird perched?
Group of answer choices
A. 17.6 ft
B.16.4 ft
C. 21.4 ft
D. 22.6 ft
Answer:
21.4
Step-by-step explanation:
Use the Quotient Rule to Simplify. *
need help asap pls
Step-by-step explanation:
[tex] \frac{ {8}^{8} }{ {8}^{3} } \\ = {8}^{8 - 3} \\ = {8}^{5} [/tex]
PLEASE HELP ! me last question
Answer:
So sorry but I have no idea, also have a great weekend!
Tyler will dog sit for a fee of $16 then $4 for each hour, Katie will dog sit for a fee of $12 then $6 per hour. After how many hours (x) will Tyler and Katie charge the same amount (y)?
can you tell me the steps to follow in order to solve this plz.
Answer:
4 hours
Step-by-step explanation:
Because 12 by 8 =96$ and 16 by 6 is equal to 96 too
HELP ME PLEASE DUE NOW 4. From last night to this
morning, the temperature
rose 18°F. The temperature
this morning was 54°F.
Let
tequal the temperature last
night. Write and solve an
equation for the
temperature last night.
Answer:
36 degrees
Step-by-step explanation:
Ok so wouldnt you have to subtract 54 minus 18? and if so then
Which value of x satisfies the inequality below?
13< x
Answer:
20
Step-by-step explanation:
since the sign is pointing to the "greater number"
any number over 13 is fine
The value of x can be 14, 15, .... and so on.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
13< x
So, we have to choose the value which are greater than 13.
The value of x cannot be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.
Thus, the value of x can be satisfies by 14, 15, .... and so on.
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2. If all the letters in the word ENVELOPE are randomly rearranged, what is the probability the letters will
spell the word ENVELOPE?
A.
3/28
B.
1/720
c.
1/1120
D.
1/6720
The probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
If all the letters in the word ENVELOPE are randomly rearranged,
As we know, a permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
From the definition of the permutation and combination we can calculate the total number of arrangements:
E :: 3
N :: 1
V :: 1
L :: 1
O :: 1
P :: 1
The arrangement Letters:
E,L,N,O,P,V
Total Number of Letters:
8
Total Number of Unique Letters:
6
Total arrangements = 8!/3!
Total arrangements = 8×7×6×5×4
Arrangements = 6720
Total number of outcomes = 6720
Number of favorable outcomes = 1
Probability = 1/6720
Thus, the probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.
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solve the linear equations elimination -2x+3y= 7 5x+8y= -2
Answer:
x=-2, y= 1
Step-by-step explanation:
Given data
-2x+3y= 7 --------------1
5x+8y= -2--------------2
Multiply 1 by 5 and 2 by 2 and add
-2x+3y= 7 X 5
5x+8y= -2 X 2
-10x+15y= 35
10x+16y= -4
0x+31y= 31
31y= 31
y= 31/31
y= 1
put y= 1 in eqn 1
-2x+3y= 7
-2x+3(1)= 7
-2x+3=7
-2x= 7-3
-2x= 4
x=- 4/2
x= -2
PLEASE HELP. NO LINKS. (LINKS WILL BE REPORTED.) NEED REAL EXPLANATION ALONG WITH THE CORRECT ANSWER CHOICE OR CHOICES.
Answer:
False true true true
Step-by-step explanation:
So sorry for the rough sketch but that is how it will reflect
Evaluate 6 + x when x = 3.
Answer:
6 + x = 9
Step-by-step explanation:
We know that x = 3, and that we need to add x (which equals 3) to 6.
So, all we need to do is add 6 + 3.
6 + x = 9
We know this because for the expression 6 + x, we replace x with it's given value, which is 3.
⬇
6 + 3 = 9
please help me w this!!!!!!!!
Answer:
Angle KJL
Step-by-step explanation:
Right Triangle Square
Answer:
It's KJL
Step-by-step explanation:
Like u can see the red thingy is 90°.
please answer this one if you could
johns dinner costs $52.30. Sales tax is 6.5% and he wants to leave a 20% tip for the waitress. what is the total cost for johns meal ???????
Answer:
The total cost for john's meal would be $66.84
Step-by-step explanation:
6.5% of 52.30 = 3.3995
52.30 plus 3.3995 = 55.6995
20% of 55.6995 = 11.14$
55.6995 + 11.14 = $66.84
How long is the wire that supports the tree?
5.6 ft
3.3 ft
Answer:
6.5 ft
Step-by-step explanation:
You must use Pythagoras theorem, which is a² + b² = c², then square root c to get answer
if 5.6 = a and 3.3 = b
5.6²+3.3²=42.25(=c²)
42.25 = c²
square root both sides
6.5 = c
Answer:
6.5 ft.
Step-by-step explanation:
To find this you can use the Pythagorean Theorem. [tex]a^2+b^2=c^2[/tex]
[tex]5.6^2 + 3.3^2=C^2[/tex]
31.36+10.89=[tex]C^2[/tex]
42.25=[tex]C^2[/tex]
NOW you have to square root both sides of the equation
[tex]\sqrt{42.25} = \sqrt{C^2}[/tex]
You square root both sides so you can get ride of the exponent on C
So, your answer is 6.5=C
hope this helps :)
p.s. for further questions, [tex]c^2[/tex], is always the opposite side of the right angle. :)
what the lateral area is of this rectangular prism
I asked this question ten times and haven’t gotten a serious answer pls just tell me
Answer:
1410
Step-by-step explanation:
Perimeter of base * by height.
94*15
1410
which one is it?? is it true or false..
Answer:
true
Step-by-step explanation:
i think its helpbrainliest pls
find the distance between -2 1/4 and 1 1/2
Please help!!!!!!!!!
Answer:
2
Step-by-step explanation:
The radical rule : [tex]\sqrt[3]{2^{3} }[/tex] = 2 when the number inside is greater than or equal to 0
Hello (^v^) can someone help me with this question?
Answer:sorry
Step-by-step explanation: i need points
Which function or functions have a slope equal to the slope of Function 1?
Answer:
function 2 only
Step-by-step explanation:
The Function that have a slope have 1 is Function 1.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
From function 1, the slope is
Slope = (0-2)/ (1- 3)
Slope = (-2)/ (-2)
Slope = 1
Now, for function 2 the slope is
Slope = 2
and, for Function 3 the slope is
Slope = 0
and, For function 4 the slope is
Slope = 3/2
Thus, Slope of function 1 have slope 1.
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HELPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEE
Answer:
angle KJG = angle FGJ (by alternateinteriorangle)
Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions, and spoke 270 more words in Polish than in Hungarian.
How long did Sakura speak in Hungarian, and how long did she speak in Polish?
Sakura spoke for _____ minutes in Hungarian and for _____ minutes in Polish.
You earn $102 for doing 12 hours of yard work. Your friend earns $120 working at a store for 15 hours.
a. Who earns more per hour?
b. What would you earn in if you did 15 hours of yard work, paid at the same hourly rate?
Answer:
You earn more per hour and you would get $127.50
Step-by-step explanation:
You can find how much money you get per hour by dividing! 102 divided by 12 is 8.5 and 120 divided by 15 is 8 so you get more!
What is the range for the graph shown? A) -3 ≤ y ≤ 2 B) -3 and 2 C) -3 ≤ y ≤ 3 D) -2 ≤ y ≤ 3
CAN SOMEONE HELP ME, ILL GIVE BRAINIES AND PLEASE NO LINKS
A business owner receives a $5,000 loan with 13%
interest,charged at
the end of each year.
Write an expression to represent the amount owed, in dollars, after the
given number of years of making no payments.
1. after 1 year
2. after 2 years
3. after tyears
Answer:
Step-by-step explanation:
Given;
Loan = $5,000
Interest rate = 13% charged at the end of each year
Question 1. Expression to represent the amount owed, in dollars, after;
a. After 1 year.
Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * 1 year )
= 5650
b. After 2 years.
Owed amount = Loan + accrued interest
= $5000 + ( 13% * $5000 * 2 years )
= $6300
c. After t years
Owed amount = Loan + accrued interest= $5000 + ( 13% * $5000 * t years )= $5000 + $650t
Question 2. Explain how to convince someone that your expression for t years is correct.
Amount owned= borrowed amount + accrued interest
Accrued interest = Interest rate per year * Loan amount * time in years ( for simple interest case )
Loan amount = $5000
Time = t years
Interest rate = 13% per year
Accrued interest = 13% * $5000 *t years= $650t
Amount owned will therefore be; = Loan amount + Accrued interest
= $5000 + $650t
Find the value of a when x=10 a=5x(squared)/2
Answer:
a = 5(10²)/2
a = 5(100)/2
a = 250
Debbie McAdams paid 6% interest on a $14,500 loan balance. Jan Burke paid $12,480 interest on a $97,500 loan. Based on 1 year
a. What was the amount of interest paid by Debbie?
Interest paid by Debbie
b. What was the interest rate paid by Jan? (Round your answer to the nearesi tenth percent.)
Interest rate paid by Jan
c. Debbie and Jan are both in the 28% tax bracket. Since the interest is deductible, how much would Debbie and Jan each save in
taxes? (Round your answers to the nearest cent.)
Debbie
Jan
Save in taxes
Answer:
C
Step-by-step explanation: