1. Which of the following is equivalent to x5/2?
1
(1)
5x
2
(3) Vr
2x
(2)
(4) Vx?

Answers

Answer 1

Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression

can be found using the rules of indices.

[tex]\displaystyle \underline{x^{\frac{5}{2} } \ is \ equivalent \ to \ x^2 \cdot\sqrt{x}}[/tex]

Reasons:

The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]

Required:

To find the equivalent expression

Solution:

According to the rules of indices, we have;

[tex]a^{n + m} = a^n \times a^m[/tex]

[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

Therefore, the above expression can be expanded as follows;

[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]

[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]

Which gives;

[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]

Therefore;

[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]

Learn more about the rules of indices here:

https://brainly.com/question/8959311


Related Questions

How to solve 8.9 times 6

Answers

Answer:

53.4

Step-by-step explanation:

8.9 × 6 = 53.4

Hope it help !

An ice cream cup has 3 scoops of chocolate, 4 scoops of vanillas and 3 scoops of butter scotch ice cream. What is the probability that if you randomly sampled the ice cream that you will taste chocolate or vanilla ice cream?

Answers

Answer:

7 out of 10

Step-by-step explanation:

if you have 10 in the cup then you add

4 vanilla 3 chocolate = 7

and add all scoops together and you get 10

so your probability would be 7 out of 10

another way to say it is

the probability of getting chocolate or vanilla ice cream from the cup would be 7 out of 10

How many centimeters equal 128.9 meters?.

*Enter you answer in the box*

|___| cm

Answers

12890 centimeters

Hope this helped :)

Complete the ordered pair so that it is a solution of 2/3 x+ y - 1 = 0.

(-6,?)


3

4

5​

Answers

Answer:

i think y = 5 is answer

Step-by-step explanation:

good luck

Answer:

(-6, 5).

Step-by-step explanation:

2/3x+y-1=0

2/3(-6)+y-1=0

-12/3+y-1=0

-4+y-1=0

-4-1+y=0

-5+y=0

y=0-(-5)

y=0+5

y=5

35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?

Answers

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

Are quantity and amount are same thing, if no so tell the difference ?

no spam ​

Answers

Answer:

No

Amount should be used when you're talking about a singular noun that CAN'T be measured. ... –Quantity should be used for an inanimate, single or plural noun that CAN be counted or measured.

Step-by-step explanation:

Hope this helps you !!!

At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?

Answers

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies


Please help answer this question also with explanation

Answers

You would have to calculate the percent first.
Add the total number of students
3420+4680= 8100 students TOTAL

Then you would divide the amount of students by the total

3420 part time/8100 students total = .42 or 42%

4680 full time/8100 total = .58 or 58%

Then you multiply the percentages by 90

(90)(.58)= 52.2

(90)(.42)= 37.8

Rounded

52 full time and 38 part time students

help with this pleased

Answers

Answer:

Kite A ascends to a height of 36 feet

Step-by-step explanation:

21 + 15 = 36

Answer:

Kite A is now at 36 feet.

Step-by-step explanation:

Ascend means go up, so adding 15 to 21 gives you your answer.

4 x 1/3 x 3/4 x 1/3 as a fraction or whole number

Answers

Answer:

Step-by-step explanation:

To multiply fractions just multiply top × top × top × top ( and write it on top) Then multiply bottom × bottom × bottom × bottom. Whenever you can reduce or simplify the result, make sure you do that too. Since the whole entire problem is all times-ing (and dividing bc fraction bar is just dividing) you could "cancel" numbers that are in the top and bottom that are the same. See image.

6c = 2p – 10. write the equation in function notation, where c is the independent variable.

Answers

Answer:

  p(c) = 3c +5

Step-by-step explanation:

Effectively, you want to solve for p.

  6c = 2p -10

  6c +10 = 2p

  3c +5 = p

  p(c) = 3c +5 . . . . function notation (p is a function of c)

The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?

A: y = 1/3 x - 3
B: y = 1/3 x + 9
C: y = 1/3 x - 9
D: y = 1/3 x + 3

Answers

Pretty sure it’s D yeah okay yes I’m sure now

Fifty people are standing in line for a ride. Every three minutes, 20 people get on the ride, but 35 more people get in line. After one hour, how many people are in line?

Answers

Answer:

because of the gravity of the earth

Answer:

5x+50

Step-by-step explanation:

explain why the area of the large rectangle is 2a + 3a + 4a

Answers

Answer:

The area of the large rectangle = the sum of the areas of the three smaller rectangles

areas of the smaller rectangles are : 2a, 3a, and 4a respectively

Therefore the area of the lage rectangle = 2a + 3a + 4a

The sum of the area of all the rectangles will be 2a + 3a + 4a.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

The dimensions of the rectangle are 2 by a, 3 by a, and 4 by a.

The area first rectangle is given as,

⇒ 2 × a

⇒ 2a

The area second rectangle is given as,

⇒ 3 × a

⇒ 3a

The area third rectangle is given as,

⇒ 4 × a

⇒ 4a

The total area of the rectangle will be given as,

A = 2a + 3a + 4a

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ2

PLEASE HELP!!!!!! This is very important to me PLEASE HELP ASAP and if you help me god bless you

Answers

Answer:

try the 3rd one

Step-by-step explanation:

if it's not right then i'm sorry

Answer:

Below!

Step-by-step explanation:

The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Enter a number in the box so that the equation will have no solution.

Answers

Answer:

156

Step-by-step explanation:

Hey can u help me pls.

Answers

Answer:

15 dots

Step-by-step explanation:

formula :: 1/2 x n ( n +1 )

fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot

fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots

......

fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots

Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

A uniform density curve is at y = StartFraction 1 Over 20 EndFraction.

Company policy requires employees to be less than 12 minutes late for work. What percentage of the time will Oliver meet company policy?

6.7%
10%
60%
90%

Answers

Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

Learn more about percentage on:

https://brainly.com/question/24304697

Find the area of shaded region​

Answers

first, find the area of the rectangle shape: 7cm x 7cm = 49 cm^2

then, find the area of the two half circles, which makes a full circle. the formula to use is (pi)(r^2).
plug in 3.5 cm as the radius (need to divide diameter, 7 cm, by 2): (pi)(3.5^2) = 12.25pi = 38.48 cm^2

49 cm^2 - 38.48 cm^2 = 10.52 cm^2

area of shaded region: 10.52 cm^2

Answer:

Hope it will help you...

36in rounded to the nearest tenth for circumference

Answers

Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Solution steps:

Step 1: Locate and underline the tens place () and look to digit to the right (6):

36

Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.

In short: 36 rounded to the nearest tens is 40.

Step-by-step explanation:

helloo!!! please help me on this !!!!

Answers

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

[tex]\mathfrak{10x - 18 = 8x} [/tex]

[tex]\mathfrak{10x - 8x = 18} [/tex]

[tex]\mathfrak{2x = 18} [/tex]

[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]

[tex]\underline{\mathfrak{x = 9}} [/tex]

Measure of ∠R :

[tex]\mathfrak{8x} [/tex]

[tex]\mathfrak{8(9)} [/tex]

[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]

 ღ ꪑ꠸᥅ꫀꪊ

number 3 pls !!!!!!!!!!!!!!

Answers

Answer:

9

Step-by-step explanation:

ED: DC = 3:1

AB : BC = 3:1

AB: 3 = 9

Answer:

AB = 9

Step-by-step explanation:

Tale's theorem

[tex]\frac{12}{4} =\frac{AB}{3}[/tex]

[tex]AB=\frac{(12)(3)}{4} =\frac{36}{4} =9[/tex]

Hope this helps

help me solve this please

Answers

Answer:

[tex] \sqrt{8} [/tex]

Step-by-step explanation:

an

irrational number can only be written in the form with never ending,non-repeatinng digits after the decimal comma

please help with my work​

Answers

Answer:

F

Step-by-step explanation:

Domain is all x values that the graph passes through. Therefore, it starts at x=0 and ends at x=230 with no breaks so the domain is anywhere between 0 and 230.

solve -7(4-x) + 4 is greater than or equal to -18 + 7x

Answers

Answer:

-7(4-x)≥-18+7x

-28+7x≥-18+7x

7x-7x≥-18+28

x≥10

Step-by-step explanation:

HELPPPPPPPPPPPPPppPPPPPPPPPPpppp

Answers

-5


A negative [-] times a positive [+] is a negative [-]
A negative [-] times a negative [-] is a positive [+]
A positive [+] and a positive [+] is a positive [+]

Since the quotient is a positive [+] 35, that means there had to have been two negatives [-] to make a positive. The answer is -5
ANSWER = -5

WORK:
35/ 7 = 5
~ Remember to add negative (-)
So the answer is -5

Sherry is making a snack mix for a school field trip.
HELP
The recipe shows the amount of each ingredient needed to make 6 bags.
3 cups granola
1 cup raisins
1.5 cups almonds
0.5 cup cranberries
0.75 cup chocolate chips
Complete each statement to adjust the ingredients for each new situation if Sherry uses this recipe.

To make 18 bags of snack mix, Sherry needs _ cups of almonds.

Sherry needs 6 cups of granola to make _ bags of the snack mix.

If Sherry uses 1 cup of cranberries, she will need to use _ cups of raisins.

The recipe will make _ bags of the snack mix if Sherry uses only 1 cup of granola.

Answers

Answer:

4.5 cups, 12 bags

Step-by-step explanation:

Each batch makes 6 bags, so if she makes 18 bags she needs 3 times as many cups of almonds, 1.5 x 3 = 4.5

If she uses 6 cups of granola she is using twice as much so she could make 12 bags.

Quadrilateral T'R'A'M os rotated °S -goo about the origin.​

Answers

Answer:

ang hirap naman plss answee

What is a ratio? Can you give a real world example of a ratio and the 3 different ways to write that ratio. pls i need alot of help my parents dont help me and i do online school WILL be marked as brainlyist

Answers

Answer:

2:3

2 to 3

or a fraction bar

Step-by-step explanation:

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

3 different ways you can write that ratio-

1)  4 to 3

2)  4:3

3)  4/3 (fraction)

Step-by-step explanation:

hope this helped:)

Solve for C: C-9(greater than or equal too sign)9

Answers

Answer:

[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]

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