simplify
[tex]( \sqrt{5} )( \sqrt[3]{5} )[/tex]
a. 5 5/6
b. 5 1/6
c. 5 2/3
d. 5 7/6​

Answers

Answer 1

Answer:

[tex]A.5^{\frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\(\sqrt{5})(\sqrt[3]{5})\\To\ simplify\ the\ given\ expression\ we\ may\ use\ the\ following\ two\\ 'Laws\ Of\ Exponents'.\\1.\sqrt[n]{a}=a^{\frac{1}{n}}\\2.m^a*m^b=m^{(a+b)}\\With\ these\ two\ equations\ we\ can\ proceed\ with\ our\ problem:\\Hence\ following\ Law\ 1,\\\sqrt{5}=5^{\frac{1}{2}} \\\sqrt[3]{5}=5^{\frac{1}{3}}\\Hence,\\\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Hence,\\5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Now,\ by\ using\ Law\ 2,\\[/tex]

[tex]5^{(\frac{1}{2}+\frac{1}{3})}\\=5^{(\frac{3+2}{6})}\\=5^{\frac{5}{6}}\\[/tex]


Related Questions

write and solve an equation to find the number.
The perimeter of a patio is 64 feet. The length (L) is 10 feet longer than the width (W). What is the width of the patio?

Answers

9514 1404 393

Answer:

  11 feet

Step-by-step explanation:

Let L and W represent the length and width of the patio. Then ...

  L = W + 10

  P = 2(L + W)

Substituting for the known values, we have ...

  64 = 2((W +10) +W)

  64 = 4W +20 . . . . simplify

  44 = 4W . . . . . . . . subtract 20

  11 = W . . . . . . . . . . divide by 4

The width of the patio is 11 feet.

what is | -5 | + 7​

Answers

Answer: 12

Step-by-step explanation:

Find the shortest distance from point A to the given line.

y = 3x +1 ; A (3,0)

What is the shortest distance from point A to the line?

Answers

Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]

In question (1):

[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 600 + 240 \\\\= 840[/tex]

In question (2):

[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]

The 3 question is incomplete, that's why it can't be solved.

Answer pls question in the picture

Answers

Hi !

I’m sorry I won’t be doing the solving for you because it should be easy but I will give you the logic in case you don’t know how to solve them...

Please look at the picture below

According to the theorem we know that DE is:

DE = 1/2 ( BC)

Solve for X then find the values.

Note: remember that if you want to make your life easy multiply both side by 2 to get rid of the 1/2.

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.

Answers

Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice


Help? I would appreciate it

Answers

Answer:

$6.50 per candle

Step-by-step explanation:

19.50 / 3 = 6.50

Answer:

$6.50

Step-by-step explanation:

$19.50 divided 3 is 6.50

Tricia drove 102 miles on three gallons of gas. How far can she drive on seven gallons of gas ?



Carli can walk 40 dogs in 8 hours how many dogs can she walk in 12 hours ?

Answers

Answer:

1. 255 miles

2. 60 dogs

If m∠13=2x-3 and m∠15=71°, find the value of x.
Show work please

Answers

The value of x is 37

Here 13 & 15 are corresponding angles , so they are equal [ 13 = 15 ]

As per the question ,

⇒ 2x - 3 = 71°

⇒ 2x = 71 + 3

⇒ 2x = 74

⇒ x = 74 ÷ 2

x = 37

Hence , x = 37

What is the discriminate?

Answers

so it’s basically asking for the difference

8) Choose which postulate proves the triangles congruent. *



A) SAS
B) SSS
C) AAS
D) ASA
E) HL

Answers

E done this before be safe

area of a square field is 1600 square metre. find the cost of boundary wall if the rate of per metre is Rs. 500​

Answers

Answer:

Rs. 20,000

Step-by-step explanation:

the boundary wall will act as a perimeter.

the perimeter of a square field is 4S( S = side)

S x S = area

S2 = area

S =

square root of S2= square root of area

square root of S2 = S

S = square root of area

S = square root of 1600

S = 40m

perimeter = 4 x S

                 = 4 x 40

                 = 160m

1m = rs. 500

40m = 40m x rs.500

                     1m

=Rs. 20,000

Find the range of the function y=3/4x+17 when the domain is {-12, -4, 8}.

Answers

Answer:

77

Step-by-step explanation:

The range of the given function y=3/4x+17 is {8, 13.4}

What is domain and range ?

The bis the set of possible input values, and the range is the set of all possible output values of the graph.

The given equation is :

y=3/4x+17

the domain of the function = {-12, -4, 8}

Now, for x = -12 :

y = 3/4 (-12) + 17

y = -9 + 17

y = 8

Now, for x = -4.8 :

y = 3/4 (-4.8) + 17

y = -3.6 + 17

y = 13.4

Therefore, the range of the given function is {8, 13.4}

Learn more about the domain and range  here:

brainly.com/question/15164206

#SPJ2

50 POINTS HELPPPPPPPPPPP

Answers

P( Sports U Work) = 0.75

Answer:

p(Sports U Work)=1/4

Step-by-step explanation:

13+2/20

15/20

3/4

4/4-3/4=1/4

1/4

If this helps please mark as brainliest

Select the correct answer from each drop-down menu.
Aerial's grandmother gave her $5,500.00 to save for her college education. She went to the bank to open a savings account. The bank told her they had two options available.

Account A will pay 5.5% simple interest until the account is closed.

Account B will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open. When the initial account is closed, the bonus account will be closed as well and the money from the two accounts will be combined.

If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account
is the better choice earning her
more.

Answers

If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account B is the better choice earning her $41.25 more.

Find the missing side:
Which is the right one

Answers

Answer:

D , drinking coffee

Step-by-step explanation:

hope this helps you somehow

Did i do it correctly? if no please give the explanation and answer! :):):)

Answers

Answer:

yeah man good job im proud

Step-by-step explanation:

Answer:

You did a very good jod

Step-by-step explanation:

Hope this helped have an amazing day!

Median of 40,2,31,15,29,16 and X is 21. then X= ?​

Answers

Answer:

Let us arrange this data in ascending order.

2, 15, 16, 29, 31, 40.

x has to be in the middle if it is the median.

So it becomes 2, 15, 16, x, 29, 31, 40.

There are seven numbers. The median is the 4th one.

The median is given as 21.

So x = 21.

HOPE IT HELPS YOU, PLS MARK IT AS THE BRAINLIEST :D

Determine if x=2 is a solution.

Answers

Answer:

Do you have a picture for the problem that you want to be solved?

1) Slope =-1, y-intercept = 0
3.
1
A) y =
B) y=-1
4
4
ID) -
1
C) y = -x
D) y = -x +
4

Answers

Answer:

1. C       2.D       3.D        4.A

Step-by-step explanation:

The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.

The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.

The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.

And the fourth one is A because there is no slope, so y would just equal 3.

What is the opposite of 6.6

-6.8
6.8

Answers

Answer:

-6.6

Step-by-step explanation:

I don't really understand the question but I believe it is correct.

have a good day

6.7 is the answer u welcome

525 people visited the mall today and 68% of these people made a purchase. How many people made a purchase?
Group of answer choices

Answers

357 people made a purchase

The number of people made a purchase: 357

What is the percentage?

A number can be expressed as a fraction of 100 using a percentage. It is frequently used, particularly in financial and statistical contexts, to depict ratios and proportions in a more practical and intelligible way. For instance, 50% denotes 50 out of 100, or half of a specified amount. It is represented by the letter "%".

To find out how many people made a purchase, we need to multiply the total number of visitors by the percentage of visitors who made a purchase.

Number of people who made a purchase = Total number of visitors × Percentage of visitors who made a purchase.

Percentage can be converted to a decimal by dividing by 100.

Number of people who made a purchase = 525 × (68/100)

Number of people who made a purchase = 357

Therefore, 357 people made a purchase.

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ3

The delivery charge and daily rate to lease a construction crane are listed below for two companies.
High Top Cranes charges $744 for delivery and $3,290 per day.
Big Lift Equipment charges $1,428 for delivery and $3,214 per day.
If Builder's Construction Company leases a crane for 11 days, which leasing company has a lower total cost?

Answers

Answer: Big Lift Equipment

Step-by-step explanation:

From the question,

High Top Cranes charges $744 for delivery and $3,290 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $744 + $3290(11)

= $744 + $36190

= $36934

Big Lift Equipment charges $1,428 for delivery and $3,214 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $1428 + $3214(11)

= $1428 + $35354

= $36782

Based on the calculations, Big Lift Equipment has a lower cost

HELP PLEASE
given the relation y=x^2 +3 if the input is 4 what is the output

Answers

Answer:

19

Step-by-step explanation:

x = 4

y = 4^2 + 3 = 16 +3 = 19

The average teenager spends 2.9 hours a day watching television. How much time do they spend each week watching television?

Answers

Answer:They spend 8 hours

Step-by-step explanation:2.9 times 3

SOLVE THISSS (3x+6)/3=-1

Answers

Answer:

x = −3 TRUSSSSSSTTTT MEE

Step-by-step explanation:

THE PERSON ABOVE ME SAID -3

HELP ILL GIVE BRAINLIEST AND LOTS OF POINTS
Use the formula d = rt to find the distance, rate, or time
24. r = 5, t = 12

25. d = 24, t = 8

Answers

Answer:

24) 60,   25) 3

Step-by-step explanation:

d=r*t

5*12=60

24) 60

d=r*t

to find rate:

d/t=r

24/8=3

25) 3

Maria tenia 6.500kg de patatas. Las envaso en sacos de 25kg y los puso a la venta a 30$ cada uno. Vendio la mitad de los sacos a ese precio y el resto los vendio todos a 2$ menos cada saco. ¿ Cuanto dinero obtuvo?

Answers

Responder:

$ 7540

Explicación paso a paso:

Dado que:

Kilogramos totales de papa = 6500

Número de kilogramos por paquete = 25

Precio por paquete = $ 30

La mitad se vendió a $ 30

El resto se vende a ($ 30 - $ 2)

Número total de paquetes de 25 kg:

6500 kg / 25 kg = 260 paquetes

Por lo tanto, paquete total = 260 paquetes

La mitad se vende a $ 30:

(260/2) * 30

130 * $ 30 = $ 3900

Resto vendido a $ 28:

(260 - 130) * $ 28

130 * $ 28 = $ 3640

Cantidad total realizada:

$ (3640 + 3900) = $ 7540

Jackie wants to purchase a class ring. She found the same ring for $225 at three different stores. The discounts the stores are offering are shown in the table below.

Jewelry Stores

Store Discount
1 25%
2 $25
3 1/3

Which statement about the sales price of the ring is true?
A. Store 1 and Store 2 have the same sales price of $200.
B. Store 3 has the best sales price of $150.
C. Store 1 has the best sales price of $168.75.
D. Store 3 has the best sales price of $75.00.

Answers

Answer:

A

Step-by-step explanation:

im not sure tho

2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm

Answers

D. 92

34+34=68
12+12=24
68+24=92
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