Answer:
[tex]\huge\boxed{\sqrt{25^{3}}}[/tex]
Step-by-step explanation:
When we have a number to a fraction power, we need to note that
It's the same as taking the denominator root of the base to the numerator powerBasically, for example, [tex]5^{\frac{1}{2}}[/tex] is the same as [tex]\sqrt{5}[/tex] since the numerator is 1 ([tex]5^1 = 5[/tex]) and the denominator is 2 ([tex]\sqrt{5}[/tex]).
Applying this same logic to [tex]25^{\frac{3}{2}}[/tex] -
[tex]25^{3}[/tex]
[tex]\sqrt{25^3}[/tex]
Hope this helped!
Answer:
Step-by-step explanation:
25 3/2 If n is a positive integer that is greater than x and a is a real number or a factor, then a x n = n
√ a x
. a
x n
= n
√ a x Use the rule to convert
25 3 2 to a radical, where a = 25
, x = 3 and, n = 2 .
√25 3
The result can be shown in multiple forms.
Exact Form: √25 3
Decimal Form:
125
A city issues 3-digit license plates for motorized scooters. The digits 0-9 are chosen at random by a computer program. What is the probability that a license plate issued meets each set of criteria
The probability of a license plate meeting all the given criteria is approximately 0.0000126, or [tex]1.26 x 10^{-5[/tex].
Given that: A city issues 3-digit license plates and digits are 0 to 9.
Having all different digits:
To calculate this probability, use the same approach as before:
Number of favourable outcomes = 10 × 9 × 8
Total number of possible outcomes = 10 × 10 × 10
Probability = (Number of favourable outcomes) / (Total number of possible outcomes)
Probability = (10 × 9 × 8) / (10 × 10 × 10)
Probability = 720 / 1000
Probability = 0.72 (*)
Having at least one even digit:
So, the license plate must have all odd digits (1, 3, 5, 7, or 9).
Number of favourable outcomes = 5 × 5 × 5
Total number of possible outcomes = 10 × 10 × 10
Probability = (5 × 5 × 5) / (10 × 10 × 10)
Probability = 125 / 1000
Probability = 0.125 (1)
Now, the probability of having at least one even digit is the complement of the above probability:
Probability of having at least one even digit = 1 - 0.125
Probability = 0.875 (2)
Having the digits in ascending or descending order:
Ascending: 012, 123, 234, 345, 456, 567, 678, 789
Descending: 987, 876, 765, 654, 543, 432, 321, 210
Total favourable outcomes = 8 + 8
Total favourable outcomes = 16
Probability = 16 / 1000
Probability = 0.016 (3)
Having a specific digit in a specific position:
Let's say want the digit 7 to be in the first position.
Number of favourable outcomes = 1
Total number of possible outcomes = 10 × 10
Probability = 1 / 100
Probability = 0.01 (4)
Now, to find the probability of all criteria being met simultaneously, multiply the individual probabilities:
Probability of meeting all criteria = Probability (1) × Probability (2) × Probability (3) × Probability (4)× Probability (*)
Probability of meeting all criteria = 0.125 × 0.875 × 0.016 × 0.01 × 0.72
Probability ≈ 0.0000126
Hence, the probability of a license plate meeting all the given criteria is approximately 0.0000126.
Learn more about Probability here:
https://brainly.com/question/32117953
#SPJ12
To solve 5/7 - 2/n = 1/21
Answer:
-2/n=1/21-5/7
-2/n= -2/3
cross multiple
-2×3=n×-2
-6/-2=-2n/-2
n=3
Find the output, y, when the input, , is -1.
Y =
Answer:
To find output add 1.5 to every input number. Hopefully this helps
Step-by-step explanation:
Please help easy math equation. Make sure it give the answer first then explain why. Don't lie
1 + 33x = 12
What is X
Please Help me
Answer:
1+33x=12
-1 -1
33x=11
33 33
x=0.3
:)
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
Work out the total amount of money in the account at the end of 3 years.
Give your answer to the nearest rupee.
Answer:
There will be 20 914 rupees in the amount at the end of 3 years.
Step-by-step explanation:
The amount of rupes after t years in compound interest is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
This means that [tex]A(0) = 20000, r = 0.015[/tex]. So
[tex]A(t) = A(0)(1+r)^{t}[/tex]
[tex]A(t) = 20000(1+0.015)^{t}[/tex]
[tex]A(t) = 20000(1.015)^{t}[/tex]
Work out the total amount of money in the account at the end of 3 years.
This is A(3). So
[tex]A(3) = 20000(1.015)^{3} = 20913.6[/tex]
Rounding to the nearest rupee.
There will be 20 914 rupees in the amount at the end of 3 years.
A bag containing 20 disks numbered 1-20 what is the probability you will pick a disk with the numbers 1,2,3,4,5?
If a – 2 = -12, then a = ______.
Answer:
a= -10
Step-by-step explanation:
To do this you would need to isolate a, or make a stand alone on its side of the equation
a-2=-12 Original equation
a-2+2 = -12+2 Isolating the variable(adding the 2 will cancel the -2 on the left side of the equation)
a= -12+2 Simplification
a= -10 The answer!!!
I hope this helps!!!
what is thecommon factor of 12and24
Answer:
12
Step-by-step explanation:
12 can go in both 12 and 24 without a remainder
Find the angle of elevation if the building is 653 feet tall and the observer is 150 feet from the building. Round to the nearest tenth of a degree
Answer:
Angle of elevation = 77.1°
Step-by-step explanation:
The formula to solve for angle if elevation is given below as:
tan θ = Opposite/ Adjacent
Where
Opposite = Height of the building = 653 ft
Adjacent = Distance from the building = 150 ft
θ = Angle of Elevation = ?
Hence:
tan θ = 653ft/150ft
θ = arc tan (653ft/150ft)
= 77.063069956°
Approximately to the nearest tenth = 77.1°
What is 8x+6+2+12x simplify
Answer:
20x+8
Step-by-step explanation:
Make x the subject of the formula 7 + x = t
Answer:
x = t-7Step-by-step explanation:
[tex]7 + x = t[/tex]
Move 7 to the right side.
Note : That when a number crosses an equality sign , the sign changes.
[tex]x = t - 7[/tex]
Answer:
x=t-7
Step-by-step explanation:
To make x the subject of the formula 7 + x = t
What we mean is that we want x to stand alone.
So if we want x to stand alone then we will subtract both sides by 7 to make the x stand alone.
-7+7+x=t-7
x = t - 7
So now the final answer becomes;
x = t - 7
2. The table below shows the results of an experiment that relates the height at which a ball is dropped, x, to the height of its first bounce, y.
Drop Height (x) (cm) Bounce Height (y) (cm)
100 26
90 23
80 21
70 18
60 16
Answer:
90 , 23 is the answer
Step-by-step explanation:
HELP NOW PLS FAST!!!!!!!!!!!!
Answer:
(-1, 8)
x = -1 y = 8
Step-by-step explanation:
Jill spent 12% of her money on a book. After buying the book, she had $120.12. How much money did Jill have before buying the book?
Answer:
Jill had $136.50 before buying the book.
Step-by-step explanation:
Let x be the total amount that Jill had
Then 12% of x is 0.12x
Jill was left with $120.12 after buying the book
Subtracting the cost of book from the total amount will given us the remaining amount.
Which means
[tex]x - 0.12x = 120.12\\0.88x = 120.12\\x = \frac{120.12}{0.88} \\x = 136.50[/tex]
Hence,
Jill had $136.50 before buying the book.
If there are 2 boys In a class of 15 what is the ratio of boys to girls in the class
A 15/2
B 13/2
C 2/15
D 2/13
The answer would be ratio D 2:13
A blueprint of an apartment is shown below. What is the actual length of the longest wall in the living room in feet? 0.5 inch : 6 feet Living Room Bedroom Bath 1.5 in.
Answer:
36 feet long.
Step-by-step explanation:
If the longest wall in the living room is referring to the side that I have drawn over in white and red in the attached image, or if it is the leftmost wall, then that wall is 36 feet long. For every half inch, it is 6 feet, so because there are 6 'half inches' in 3, you multiply 6 feet by the 6 half inches there are, and get 36. There are simpler ways to solve it but I can't take a picture of my work, so I hope this helps. Good luck.
The actual length of the longest wall in the living room is 36 feet.
The blueprint is a scale drawing of the apartment. A scale drawing is a smaller diagram of a large image. A scale drawing is reduced by constant dimensions.
Looking at the given image, the longest wall is 3 inches.
The length of the longest wall in the apartment : (3 in x 6) / 0.5
=18 / 0.5
= 36 feet
To learn more about scale drawings, please check: brainly.com/question/980463
The scatter plot shows a correlation between the number of participants and the year of
the snowboarding competition.
The line of regression models that correlation.
Enter a number to complete each statement.
Answers:
In 2003, there were 32 ...
The model predicts ... 40 ...
... 8 below what the model predicted
In 2003, there were 32 ...
-> We find the x-axis of 2003 and look up until we hit the line, then we find the y-coordinate for that point
-> 32
The model predicts ... 40 ...
-> The green 8 with an arrow shows the prediction
-> 40 - 8 = 32
-> 40
... 8 below what the model predicted
-> The green 8 shows the difference in the prediction and the actual participation
-> 8
I need help with this please. :) thanks
Answer:
d. V = π(x^3 + 90x^2 + 2,400x + 20,000)
Step-by-step explanation:
volume of cylinder = πr^2h
We have r = x + 20; h = x + 50
V = π(x + 20)^2(x + 50)
V = π(x^2 + 40x + 400)(x + 50)
V = π(x^3 + 50x^2 + 40x^2 + 2000x + 400x + 20,000)
V = π(x^3 + 90x^2 + 2,400x + 20,000)
Which expression represents the prime factorization of 48?
F 3 x 23
G 4 x 9
H 34 x 2
J 24 x 3
Answer: 2^4 x 3 or J
Step-by-step explanation:
percent decrease in the value of the car
Answer:
Donde esta el foto
Step-by-step explanation:
translation: how do we answer the mf question without context
Answer:
45% value looked it up
Step-by-step explanation:
byéeeee
Ammar hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. 4
How many miles of trail does Ammar hike per hour?
Answer:
.42 mph
Step-by-step explanation:
The problem tells us theres 2.75/1.15 miles/hour. And we want to know x/1 miles/hour. To do this you cross-multiply using whats been referee to as the butterfly method. So take 2.75*x=1.15*1. Then you simplify and get 2.75x=1.15. To get x along you must divide which leaves you with. X=.4182(rounded). So you can go .42 miles per hour.
62÷4=? R ? What is the remainder for 62÷4=? R ? All im asking for is just the remainder.
Answer:
The remainder is 2.
Step-by-step explanation:
Answer:
= 15 R 2
= 15 2/4
= 15 1/2
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8x+1+7x+4 whats the answer.
Hey there!
8x + 1 + 7x + 4
COMBINE your LIKE TERMS
(8x + 7x) + (1 + 4)
8x + 7x = 15x
1 + 4 = 5
Answer: 15x + 5 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
15 + 5x
Step-by-step explanation:
8x + 1 + 7x + 4
All that you need to do is combine like terms which means that you need to put together (either add or subtract) the numbers that are similar...so the numbers with the numbers, and the variables with the variables...
8x + 7x and 1 + 4
15x + 5
And you cannot do anything else because it is in its simplest form.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Many factors need to be considered when buying a car, including style, color, gas mileage, and cost. Examine these choices and determine which represents a compound event.
Answer:
the compound event is between the gas mileage and the cost.
Step-by-step explanation:
The better the gas mileage, the less gas you will have to buy overtime
Answer:
choosing among three color choices and between an automatic or manual transmission
Step-by-step explanation:
Solve 5x +30
10x. Identify the solution and an extraneous solution.
Answer:
X=6
Step-by-step explanation:
Difference(s) between volume and surface area
Answer:
Step-by-step explanation:
Surface area is the sum of the areas of all the faces of the solid figure. Finding surface area of solid figure is like finding how much wrapping paper that is required to cover the solid; it is the area of the outside faces of a box. ... Volume is the amount of space inside of the solid figure.
The exponent equivalent of 20 x 20 x 20 is
Answer:
20 to the 5th power
Step-by-step explanation:
I need help on question 1
Answer:
1873
Step-by-step explanation:
i am pretty sure i had this question on a test before so i am pretty sure it is 1873 and i got it right
11x - 21 = 56
What is X
Answer:
x = 7
Step-by-step explanation:
56 + 21 = 77 divided by 11 = 7
May i please get the brainiest