Answers
Answer:
Solving the expression [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]
Option D is correct option.
Step-by-step explanation:
We need to solve the expression: [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex]
We know that
[tex]\sqrt[3]{x}=x^{\frac{1}{3}[/tex] and [tex]\sqrt[5]{x}=x^{\frac{1}{5}[/tex]
Using above rule:
[tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }\\=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}[/tex]
Now, we know the exponent rule if bases are same and divided then exponents are subtracted i.e: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Using the exponent rule
[tex]=7^{\frac{1}{3}-\frac{1}{5} }\\Simplifying\:exponents\\=7^{\frac{5-3}{15}}\\=7^{\frac{1*5-1*3}{15}}\\=7^{\frac{2}{15}}[/tex]
So, solving the expression [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]
Option D is correct option.
Related Questions
Write ✓-49 as an imaginary number using i.
Answers
explanation: √-1 is i because a negative square root is imaginary. you can take out the negative from the inside of the square root and replace it with i on the outside. that leaves you with √49, which is 7, and that gives you 7i
plzzzzzzzz help
The regular price of a coat is $35.25. During a sale, the coat rang up for $19.99. What was the percent off of the coat during the sale? (5 points)
a
The sale was for a 43% decrease.
b
The sale was for a 76% increase.
c
The sale was for a 76% decrease.
d
The sale was for a 43% increase.
Answers
Answer:
a
The sale was for a 43% decrease.
Step-by-step explanation:
The computation of the percent off of the coat during the sale is shown below:
Regular price is $35.25
And, in the sale the price is $19.99
So, the percent off would be
= ($35.25 - $19.99) ÷ ($19.99)
= 43% decrease
hence, the percent off of the coat during the sale is 43% decrease
Therefore the correct option is a.
And, all the other options are incorrect
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 + n . What does the variable n in the expression represent?
Answers
Answer:
n = The number of can collected after lunch
Step-by-step explanation:
Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling.
From the question, the told number rod cans collected before lunch = n
We are told that :
At the end of the day, the total number of cans collected can be represented by the expression 173 + n .
The total number of cans = Number of cans collected before lunch + Number of cans collected after Lunch
Hence:
173 + n = 173 + Number of cans collected after Lunch
Therefore, the variable n = Number of cans collected after Lunch
What is the slop of a line that passes through (2,10) and (1,6)
Answers
Answer:
4
Step-by-step explanation:
Slope is x2-y2/ x1-y1
So, its 6-10/1-2
or, -4/-1
Or 4.
Hope this helps you!
#Team Rainbows.
Answer:
4.
Step-by-step explanation:
The slope = (difference in y coordinates) / (corresponding difference in the x coordinates)
= (10-6)/ (2-1)
= 4 / 1
= 4.
A student records the sexes and breeds of a dog in animal shelter. Which kind of data is the student recording
Answers
Answer:
sexes and breeds duh
Step-by-step explanation:
Answer:
data of the dogs
Step-by-step explanation:
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation? 2y = x – 4.5 y = y equals StartFraction 2 over 3 EndFraction x minus 3.x – 3 6y = 6x – 27 y = y equals StartFraction 3 over 2 EndFraction x minus 4.5.x – 4.5
Answers
Answer:
B is correct
Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line
3y = 2x - 9...divide by 3
y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions
Answer:
the answer is B).
Step-by-step explanation:
someone deleted my answer:(
What is the equation of the line that passes through the point (3,5) and has a slope
of 2?
Answers
Answer:
y-5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
Answer:
y=2x-1
Step-by-step explanation:
trust me, it's that
Help I forgot! How do you find slope? I have the change, but need the slope!
Answers
Answer:
(y2 - y1)/(x2-x1)
Step-by-step explanation:
if you have 2 points (x1,x2) and (y1,y2), just plug it in the formula for slope m
m = (y2 - y1)/(x2-x1)
Me and my daughter are having a disagreement on this question, I would appreciate the help.
Answers
Answer:
(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5
5(2t + 1) + (-7t + 28)= 3t+33
(-9/2t +3) + (7/4t + 33) = -11/4c+56
3 (3t-4) - (2t + 10)= 7t -22
Sooo Sorry that it took soooo long! Hope this helps!!!
Happy holidays!!
rewrite as as whole number 40/5
Answers
Answer:
8
Step-by-step explanation:
Just do 40 divided by 5.
I need help ASAP pic below
Answers
Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
All of the following are equivalent, except _____.
(8 + 3)x
11x²
11x
8x + 3x
hellllllllllllppppppppppp
Answers
Explanation:
Choice A combines to 11x since the 8+3 simplifies to 11.
Choice D is a very similar story. Think of having 8 boxes, which we denote in shorthand as 8x. Then adding on 3 more boxes leads to adding on 3x. Having 8 boxes plus another 3 boxes gives 8+3 = 11 boxes total. So that's why 8x+3x = 11x. Alternatively, we can factor out the x to say 8x+3x = (8+3)x.
This shows choices A,C, and D are equivalent expressions. Choice B is the odd one out.
What is 3(2x-6)-11=4(x-3)+6
Answers
Answer:
[tex]x=11.5[/tex]
Step-by-step explanation:
Answer:
the answer is x=23/2 I think you can simplify that
45 points I will give BRAINLIEST! I give stars to! First place gets Brainlest, 5 stars, and a heart! Second place gets 4 stars and a heart! But it has to be right or you won't get anything.
Write the percent as a fraction in simplest form and as a decimal. 23.5%
The fraction is
The decimal is
Answers
Answer:
Fraction: 47/200
Decimal: 0.235
Step-by-step explanation:
Answer:
fraction is 47/200
decimal is 0.235
Step-by-step explanation:
sorry i forgot to add a couple numbers i was in a rush
HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent
1. from 60 to 48
2. from 180 to 108
3. from 64 to 24
4. from 6.5 to 4.8
5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.
Answers
Answer:
Hey, ill do like 2 and you can do the rest
percent decrease or change is
new-old over old
So like #1
1) 60 is old, 48 is new
so 48-60=-12
now over old which is 60
-12/60
-1/5
20 percent decrease
2) 180 is old, 108 is new
108-180=-72
-72/180
40 percent decrease
Step-by-step explanation:
Sumalee and Scott each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Sumalee spent $93 on 6 daylilies and 3 pots of ivy. Scott spent
$196 on 13 daylilies and 6 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.
Answers
Answer:
The cost of one daylily is $10 and the cost of one pot of ivy is $11
Step-by-step explanation:
To solve the question we will form a system of equations
Assume that the cost of 1 daylily is x and the cost of 1 pot of ivy is y
∵ Sumalee spent $93 on 6 daylilies and 3 pots of ivy
→ Multiply x by 6, y by 3, then add the products and equate the sum by 93
∴ 6x + 3y = 93 ⇒ (1)
∵ Scott spent $196 on 13 daylilies and 6 pots of ivy
→ Multiply x by 13, y by 6, then add the products and equate the sum by 196
∴ 13x + 6y = 196 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by -2
∵ -2(6x) + -2(3y) = -2(93)
∴ -12x - 6y = -186 ⇒ (3)
→ Add equations (2) and (3)
∵ (13x + -12x) + (6y + -6y) = (196 + - 186)
∴ x + 0 = 10
∴ x = 10
→ Substitute the value of x in equation (1) to find the value of y
∵ 6(10) + 3y = 93
∴ 60 + 3y = 93
→ Subtract 60 from both sides
∵ 60 - 60 + 3y = 93 - 60
∴ 3y = 33
→ Divide both sides by 3
∴ y = 11
∴ The cost of one daylily is $10 and the cost of one pot of ivy is $11
Covert the equations from standard form to slope intercept form y=-3 and x=-6
Answers
Answer:
y = -3x + 0
and
y = -6x + 0
Step-by-step explanation:
I think this is correct we're currently working on slope in my class.
What is a 217 for the sequence -10,-7, -4,-1, ...
Answers
Answer:
a(217)=638
Step-by-step explanation:
a(n) = a +(n-1)d
a=-1
d=-7+10=-4+7=3
a(n) = -10 +(n-1)3
a(217) = -10 +(217-1)3
= -10+648
=638
hope this helps
someone please help me. show your work for brainliest.
find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0
Answers
Answer:
Attached file
Step-by-step explanation:
(x-2)= - 1/4(x-8) what does x equal?
Answers
Answer:
16/5 or 3 1/5 i think
Step-by-step explanation:
Answer:
x = 16/5.
As a decimal this would be x = 3.2.
Step-by-step explanation:
On the right, distribute the -1/4 to the (x - 8). Do this by multiplying -1/4 to each term in the parenthesis. Then, solve for x by combining like terms.
Armoni took a quiz. On her quiz, she got a 95%. If there were 20 questions on the quiz, how many did Armoni get correct?
Answers
Answer:
19 questions right
Step-by-step explanation:
95% > .95
.95 * 20 = 19
Armoni got 19 questions correct
hope it helps!
Find the value of x in the
following parallelogram:
2x - 1
11
7
x = [?]
Answers
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
See attachment for complete question
From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.
Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:
[tex]2x - 1= 7[/tex]
Add 1 to both sides
[tex]2x - 1 + 1 = 7 + 1[/tex]
[tex]2x = 8[/tex]
Divide through by 2
[tex]x = 4[/tex]
Please show steps on how you simplified it
Answers
Answer:
4(3^2)
3^2=9
4(9)= 36
Answer:
4(3•3)
4(9)
36
Step-by-step explanation:
3 to the second power is equal to 3•3, which is equal to 9
Then you do 4 times 9, equals to 36
Determine the function rule for the following input/output table.
inputs
2
3
4
5
6
outputs
21
31
41
51
61
Answers
Answer:
Every time the input goes up by 1 the output increases by 10.
Step-by-step explanation:
least common multiple of 12 and 3
Answers
Answer:
Answer is 12
12x1=12
3x4=12
Step-by-step explanation:
Its the least number.
Answer:
It is exactly 12
Step-by-step explanation:
I hope this helped you
Can i get branliest and heart please
Thanks!
I’ll give brainliest
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $55 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answers
What are the zeros of the function defined by 2x^2 - 9x + 4?
O A. -1/2, -4
O B. -1/2, 4
OC. 1/2, -4
O D. 1/2, 4
Answers
20%= ?/50. What is the question mark?
7/4
7/1
10/4
3/2
Answers
Answer:
10/4
Step-by-step explanation:
Pamela is 5 years younger than Jiri. The sum of their ages is 55. What is Jiro's age?
Answers
Answer:
ummm i firgit
Step-by-step explanation:
I forgot bc well I am dum
Answer:
The answer is 30
Step-by-step explanation:
j+j-5=55
2j=60
=30
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider DU charges AED10 per month plus an activation fee of AED20. A second cellphone provider ETISALAT charges AED11 per month plus an activation fee of AED15. For what number of months is the cost of either cellphone provider the same?
Answers
Answer:
5 months
Step-by-step explanation:
One cellphone provider charges AED10 per month plus an activation fee of AED20.
If I used the services of this cellphone provider for x months, total charges for the services,
y = 10x + 20 --------(1)
Similarly, charges for the second cellphone provider for x months of uses will be,
y = 11x + 15 -------(2)
Input-output table for equation (1)
x 1 2 3 4 5
y 30 40 50 60 70
Input output table for equation (2)
x 1 2 3 4 5
y 26 37 48 59 70
From these tables, we find (5, 70) is a common point for both.
It reveals that after the uses of 5 months charges for both the cellphone providers will be same (y = $70)