Answers
Answer:
[tex]=5^{\frac{5}{6} }[/tex]
Step-by-step explanation:
[tex](\sqrt{5} )(\sqrt[3]{5} )=(5^{\frac{1}{2} } )(5^{\frac{1}{3} } )=5^{\frac{1}{2}+\frac{1}{3} } =5^{\frac{5}{6} }[/tex]
Hope this helps
Step-by-step explanation:
any root of a number can be written as fraction in the exponent of that number.
so, here, the square root of 5 is 5^1/2.
and the cubic root of 5 is 5^1/3.
what happens, when we multiply the same base number with exponents ?
a^n × a^m = a^(n+m)
and so we get here
5^1/2 × 5^1/3 = 5^(1/2 + 1/3)
how do we add fractions with different denominators ?
we bring them to the same denominator, usually by using the smallest (or least) common multiple of the existing denominators, which is 6 for 2 and 3.
so,
1/2 + 1/3 = 3/6 + 2/6 = 5/6
therefore, the simplified solution is
5^5/6
the first answer option is correct.
Related Questions
if y varies directly as x, and y = 3 when x = 9, how will you find x when y = 36?
Answers
Answer:
(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Step-by-step explanation:
12. Suppose n is an integer. Select all statements below that are true:
O n2+ n is always an even integer
O n2+ n is always an even integer when n is even
O n2+ n is always an evet integer when n is odd
O n2+ n is never an even integer when n is odd
O n2+n is is never an even integer
O n2+ n is sometimes an even integer
Answers
Answer:
True statements
n is always an even integer when n is evenn is never an even integer when n is oddn is sometimes an even integerStep-by-step explanation:
Integer: a whole number that can be positive, negative, or zeroe.g. ...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 ...
True statements
n is always an even integer when n is evenn is never an even integer when n is oddn is sometimes an even integercan someone help me with this problem pls!
Answers
Answer:
blank 3 = 152
blank 4 = 240
blank 5 = 480
Step-by-step explanation:
6×80=(3×8)+3×_
480=24+3x
3x= 480-24
x = 480-24/3
x=152
Which number is an irrational number?
a) -22/9
B) -radical 3
C) 2.55
D) radical 16
Answers
Answer:
B
Step-by-step explanation:
A, C, and D are rational numbers. For D,
[tex] \sqrt{16} = 4[/tex]
Answer:
I believe the answer is B
A tv cost £800 plus VAT at 20%. What is the total cost of the tv
Answers
Answer:
£960
Step-by-step explanation:
100%=£800
20% of £800= 800/100 x 20 = £160
£800+VAT=120%= £800+£160=960
please the question is in the screenshot
Answers
What is the area?
4 mm
6 mm
6 mm
Answers
If AS = 20 and BS = 5, what is the measure of AC? Round to the nearest hundredth. Show all your work.
Answers
Answer:
When a radius and a tangent meet it us always 90 degrees therefore as is the hypotenuse and the length of a radius in a circle stays constant finding ac is easy as you use pythagoras theorem
C2-a2=b2
[tex] \sqrt{20 ^{2} } - 5^{2} [/tex]
=19.36
20
When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve _____.
Answers
Answer:
less than or equal to the test statistic.
Step-by-step explanation:
Can someone check my answers?
Answers
Answer:
givenvertical angle congruenceAA similarity theoremStep-by-step explanation:
1. ∠C ≅ ∠E . . . . given
2. ∠ABC ≅ ∠DBE . . . . vertical angle congruence theorem
3. ΔABC ~ ΔDBE . . . . AA similarity theorem
_____
When showing similarity of triangles with no marked sides, theorems that involve sides (SSS, SAS, AAS) do not apply. The only theorem you can invoke is the AA similarity theorem.
A proof generally begins by restating those things that are "given," that form the basis for the rest of the proof. Here, the arcs on the diagram show that angles C and E are congruent. That is "given."
A shirt at the store is being offered at a 5% discount. If the original price of the shirt is x, which answer choice shows an expression that represents the discounted price of the shirt?
1. 0.95x
2. 1.05x
3. 0.05x
4. x + 0.05
Answers
Answer:
1. 0.95x
Step-by-step explanation:
The amount of the discount is 0.05x, so the discounted price is ...
x - 0.05x = x(1 -0.05) = 0.95x
Distributive Property to multiply 3x(x+5)
Answers
Answer: 3x^2+15x
Step-by-step explanation:
3x(x+5)
(x * x = x^2 and x * a number = a coefficent)
= 3x^2+15x
Answer: [tex]3x^{2}[/tex]+15x
Step-by-step explanation: 3x(x+5) then you distribute the 2x to all numbers in the parentheses leaving [tex]3x^{2}[/tex]+15x which is already simplified
Drag and drop the terms to match each segment from this figure with its correct description.
Put if each segment is either Radius or Diameter
DE
FA
CF
EA
Answers
From the circle with center A, DE and CF are diameter while FA and EA are radius.
CircleA circle is the locus of a point such that the distance from the fixed point known as the center is constant.
A segment is a line that touches two points on the edge of a circle. Diameter is a line segment that passes the center of the circle while the radius is half of the diameter.
From the circle with center A, DE and CF are diameter while FA and EA are radius.
Find out more on Circle at: https://brainly.com/question/24375372
Answer:
DE=diamter
FA=Radious
AC=Radious
CF=Diameter
EA=Radious
Step-by-step explanation:
All correct i took test
Please help??!?!??? Bplease
Answers
Answer:
radical 7<14÷5
bcoz radical 7 is 2.645
and 14÷5 is 2.8
Lee recorded the number of push ups he did each each day for six days his data are listed below 68,41,58,75,48,40 what are the mean and the median of lees data set
Hleppppp please
Answers
Answer:
mean : 55; median : 53
Step-by-step explanation:
Given inputs: 68, 41, 58, 75, 48, 40
total numbers of input = 6
total value = 68 + 41 + 58 + 75 + 48 + 40 = 330
Mean → total value / total numbers of input = 330 / 6
= 55
arrange in increasing order: 40, 41, 48, 58, 68, 75
we can see that the median is between, 48 and 58,
so median → (48+58)/2 → 53
To convert a temperature measured in degrees Fahrenheit to degrees Celsius, there is a formula
C=5/9(F-32)
where C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit.
If a temperature is 113`F, what is that temperature measured in Celsius?
Answers
Answer:
113`F= 46.11° Celsius
Step-by-step explanation:
(Celsius°C × 9/5) + 32 = Fahrenheit
(Celsius°C × 9/5) + 32 = 113
(Celsius°C × 9/5) = 113 - 32
(Celsius°C × 9/5) = 83
Celsius = 5(83)/9
Celsius = 46.11° Celsius
[tex]\\ \tt\hookrightarrow C=5/9(F-32)[/tex]
[tex]\\ \tt\hookrightarrow C=5/9(113-32)[/tex]
[tex]\\ \tt\hookrightarrow C=5/9(81)[/tex]
[tex]\\ \tt\hookrightarrow C=5(9)[/tex]
[tex]\\ \tt\hookrightarrow C=45°C[/tex]
If a stadium pays $11,000 for labor and $7,000 for parking, what would the stadium's parking revenue have to be if the stadium is hoping parking labor is 6% of parking revenue?
Answers
Answer:
183,333
Step-by-step explanation:
does somebody know the answer to this?
Answers
j- 120 degrees
k- 38 degrees
For j...
The formula to find the total interior angle measurement for one angle is [tex]\frac{(x-2)180}{2}[/tex]. "x" is the number of angles. So in this case [tex]\frac{(6-2)180}{2}[/tex].
For k...
opposite vertical angles are equal, so the measurement provided will be the same for k.
B
с
8x - 7
H
7x + 2
E
10x - 1
к
A
D
What is the length of AD ?
AD =
Answers
Answer:
Step-by-step explanation:
55
2) Father earns Rs 21,600 in a month. He spends 15% of his earning on the education of his children and 25% on food. a (i) Find his total expense on education and food. (ii) How much does he save in a month ? (iii) How much does he save in 1 year ? (iv) If he spends 80% of his annual saving to buy a piece of land, What is the cost of the land ?
Answers
Answer:
a) i) Rs 8,640
ii) Rs 12,960
iii) Rs 155,520
iv) Rs 124,416
Step-by-step explanation:
Salary = Rs 21,600 per month
a) i)
Percentage of salary spent on education = 15%
⇒ 15% of 21600 = 0.15 x 21600 = 3240
Percentage of salary spent on food = 25%
⇒ 25% of 21600 = 0.25 x 21600 = 5400
Therefore, total monthly expenses = 3240 + 5400 = 8640
ii) Monthly savings = monthly salary - monthly expenses
= 21600 - 8640
= 12960
iii) 1 year savings = monthly savings x 12
= 12960 x 12
= 155520
iv) 80% of savings = 0.8 x 155520 = 124416
Natasha is a regional manager for a chain of supermarkets. She has been tasked with researching the weekly sales records of two branch locations over the past month, which she must present to her board of directors. She was able to assemble the relevant information in the table below, but it is scrambled and hard to read. Sales are listed in thousands of dollars. Week 4 1 1 3 4 2 3 2 Sales 16. 3 17. 8 23. 1 15. 2 20. 2 23. 4 22. 9 17. 6 Branch North South North South South North North South In order to make the data more readable, Natasha has decided to put it into a graph. Which of the following graphs accurately matches the information in the table? I. A bar graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23. Week 1 North, 23. 1; week 2 north, 23. 4; week 3 north, 22. 9; week 4 north, 16. 3. Week 1 south, 17. 8; week 2 south, 17. 6; week 3 south, 15. 2; week 4 south, 20. 2. II. A line graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. III. A graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. Points are plotted all over the graph. IV. A pie chart titled Sales (dollars times 1,000). North 1, 16. 3; North 2, 17. 8; North 3, 23. 1; North 4, 15. 2; South 1, 20. 2; South 2, 23. 4; South 3, 22. 9; South 4, 17. 6. A. I b. II c. III d. IV.
Answers
The graph which accurately matches Natasha's data for chain of supermarkets is bar graph.
How to read the data from the table?Table is a way to represent the data of the two or more variable.
To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Natasha was able to assemble the relevant information in the table below,
Sales listed in thousands of dollars.
Week - 4 1 1 3 4 2 3 2
Sales- 16.3 17.8 23.1 15.2 20.2 23.4 22.9 17.6
Branch- North South North South South North North South
To show the sales with respect to the time period, the best data chart is the bar graph. In a bar graph, the height of the bars is proportional to the data value it posses.
Here , for the sales by the Natasha the bar graph should be used as, the bar graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23.
Week 1 North, 23. 1; week 2 north, 23. 4; week 3 north, 22. 9; week 4 north, 16. 3. Week 1 south, 17. 8; week 2 south, 17. 6; week 3 south, 15. 2; week 4 south, 20. 2.
Hence, the graph which accurately matches Natasha's data for chain of supermarkets is bar graph.
Learn more about the data table here;
https://brainly.com/question/15602982
Answer: A. I
Step-by-step explanation:
its on edge 2022 and the answer they gave made me get it wrong. its A :)
Jessica uses a food delivery service to order dinner. She paid $27.44 for dinner, which included the cost of the food and a delivery
fee, which was 12% of the cost of the food
What was the cost of Jessica's dinner before the delivery fee?
Enter your answer in the box
Answers
Answer:
3.29
Step-by-step explanation:
Turn 12% to 0.12.
Multiply 27.44 times 0.12.
Answer:
$24.50
Step-by-step explanation:
Total cost = food cost + (food cost x 12%)
27.44 = x + (x • 0.12)
(rearrange and distribute)
1x + 0.12x = 27.44
(solve for x)
1.12x = 27.44
x = 27.44 / 1.12 = 24.50
Original food cost is $24.50
a triangle has an area of 63 square inches. if the height s 9 inches. what is the length of the base
Answers
Answer:
14 = b or b = 14
Step-by-step explanation:
Area of a triangle: 1/2*b*h
Area = 1/2*b*h
63 = 1/2*b*9
63 = 9/2b
2(63 = 9/2b)
126 = 9b
/9 /9
14 = b or b = 14
Check:
63 = 1/2*b*9
63 = 1/2*14*9
63 = 7 * 9
63 = 63
Hope this helps!
You will do it reversed
So you will do 63*2
Which is 126 and then you will do 126/9
Which is 14
The length is 14.
Check your work
A=b*h/2
63=9*14/2
63=126/2
63=63
Felicia has a garden in the shape of a parallelogram as shown.
What is the area of her garden?
72 ft
75 ft
92 ft
96 ft
Answers
Answer:
72 ft
Step-by-step explanation:
i got this question correct
Frances gets 6 paychecks in 12 weeks.How many paychecks dose she get in 52 weeks
Answers
Please like and brainiest
Answer:
26.
Step-by-step explanation:
6 paychecks in 12 weeks is 1 paycheck every 2 weeks.
52 divided by 2 is 26. She gets 26 paychecks in 52 weeks.
What is the slope of -5,6 and -9,-6
Answers
Answer:
0
Step-by-step explanation:
picture
What is the equation of the non-proportional relationship given by the table below?
x y
3 76
6 70
9 64
12 58
15 52
y=2x+76
y=-2x+82
y=-2x-76
y=2x-82
Answers
Answer:
i like cheese and GAN rubik's cubes
get one at TheCubicle.com
free 2-3 day shipping unlike amazon
Step-by-step explanation:
Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's quarters and dimes is $69, how many times did he have
Answers
Aaron the car wash owner had 228 quarters and 120 dimes.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of quarters and y represent the number of dimes. Hence:
x = 90% of y + y
x = (0.9y) + y
x - 1.9y = 0 (1)
Also:
0.25x + 0.1y = 69 (2)
From both equations:
x = 228, y = 120
Aaron the car wash owner had 228 quarters and 120 dimes.
Find out more on Equation at: https://brainly.com/question/13763238
HELP ASAP!!!
3 2/5 + 5 1/5 + 2 4/5
Answers
Answer:
See below.
Step-by-step explanation:
3 2/5 as a mixed fraction is 17/5.
5 1/5 as a mixed fraction is 26/5.
2 4/5 as a mixed fraction is 14/5.
So, the expression is 17/5 + 26/5 - 14/5, or C.
-hope it helps
What is the first step in solving the equation? 7 (x - 3) = 15+ x
a. Distribute by multiplying 7 by the terms in the parentheses
b. Multiply by 7 on both sides of the equation
c. Add 3 to both sides of the equation
d. Subtract x from both sides of the equation
Answers
Answer:
The first step is A, distributing and multiplying 7 to the x and -3 in the parentheses
Step-by-step explanation:
It’s kind of hard to offer and explanation for this, so sry!
(Please award brainliest if possible!)
Answer:
(a).
Step-by-step explanation:
7 is outside the parentheses and needs to be distributed to x and -3 before trying to isolate the x.