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:
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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%
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:
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How to solve 8.9 times 6
Answer:
53.4
Step-by-step explanation:
8.9 × 6 = 53.4
Hope it help !
6c = 2p – 10. write the equation in function notation, where c is the independent variable.
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)
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?
Answer:
because of the gravity of the earth
Answer:
5x+50
Step-by-step explanation:
Are quantity and amount are same thing, if no so tell the difference ?
no spam
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 !!!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.
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.
35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?
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%
Enter a number in the box so that the equation will have no solution.
Answer:
156
Step-by-step explanation:
Solve for C: C-9(greater than or equal too sign)9
Answer:
[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]
help with this pleased
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.
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
Find the area of shaded region
Answer:
Hope it will help you...
4 x 1/3 x 3/4 x 1/3 as a fraction or whole number
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.
HELPPPPPPPPPPPPPppPPPPPPPPPPpppp
36in rounded to the nearest tenth for circumference
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:
Quadrilateral T'R'A'M os rotated °S -goo about the origin.
Answer:
ang hirap naman plss answee
At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?
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 with my work
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.
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
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:)
Hey can u help me pls.
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
help me solve this please
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
explain why the area of the large rectangle is 2a + 3a + 4a
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
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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?
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
Complete the ordered pair so that it is a solution of 2/3 x+ y - 1 = 0.
(-6,?)
3
4
5
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
solve -7(4-x) + 4 is greater than or equal to -18 + 7x
Answer:
-7(4-x)≥-18+7x
-28+7x≥-18+7x
7x-7x≥-18+28
x≥10
Step-by-step explanation:
number 3 pls !!!!!!!!!!!!!!
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
How many centimeters equal 128.9 meters?.
*Enter you answer in the box*
|___| cm
PLEASE HELP!!!!!! This is very important to me PLEASE HELP ASAP and if you help me god bless you
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]
Please help answer this question also with explanation
helloo!!! please help me on this !!!!
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]
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