Rewrite the expression with rational exponents as a radical expression by extending the properties of the integer exponents
Answers
Answer:
C
Step-by-step explanation:
[tex]\frac{y^{3/4} }{y^{1/2} }[/tex] Original expression
[tex]y^{\frac{3}{4}-\frac{1}{2} }[/tex] Division Property of Exponents
[tex]y^{\frac{3}{4}-\frac{2}{4} }[/tex] Find a common denominator (4)
[tex]y^{\frac{1}{4} }[/tex] Simplify
[tex]\sqrt[4]{y}[/tex] Rewrite as a radical expression (an exponent of 1/4 is equivalent to the 4th root of the expression)
Related Questions
Please hurry
What is the solution?
Answers
Answer:
no solution
Step-by-step explanation:
I tried to solve this by doing the square root of [tex]x^{2} +49[/tex], which is x+7. x+7≠x+5
A train moves at a constant speed of 60 miles per hour for 2 hours. It stops for 30 minutes to allow for the herd of cows to cross. It resumes moving at 30 miles per hour for the remaining one hour until it reaches its destination. Write using only numbers separated by commas the amount of distance traveled by 0 hours, 2 hours, 2.5 hours, and 3.5 hours in that order. Example answer format: 1, 3, 5, 7, 9 1,3,5,7,9 Be consistent with your spacing. Either put a space after each comma or put no spacing at all.
Answers
Answer:
0 , 120 , 120 , 150
Step-by-step explanation:
Lets consider in step by step
For Time = 0 hours
At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0
For Time = 2 hours
The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.
For Time = 2.5 hours
The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.
For Time = 3.5 hours
After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.
Total Distance covered = 120+30 = 150 miles
can someone please help me understand ?
Answers
Answer:
A: 12cm
B: 90 degrees
C: 60 degrees
Step-by-step explanation:
A. Measure of GH is 1/4 of perimeter of 48 cm
48/4=12
a is 12cm
B. in a rhombus, diagonals are perpendicular,
FH and EG are perpendicular
So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees
thus measure of angle EJF is 90 degrees
C.
First lets find the measure of EJF
Since all the inner angles of the triangle add up to 180 degrees,
we can make an equation:
60+90+x=180
150+x=180
x=30
angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,
Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors
Thus EHJ=30 and GHJ=30
30+30=60
EHG = 60
so answer is 60 degrees
Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 3, 5, 9, 15, 23, 33, _____
Answers
Answer:
a) 45
The sequence 3 , 5, 9 , 15 , 23 , 33 , 45
Step-by-step explanation:
Given The sequence 3 , 5, 9 , 15 , 23 , 33
First term = 3
Add 2 of first term
Second term = 3 +2 = 5
Add 4 of second term
Third term = 5 + 4 = 9
Add 6 of Third term
Fourth term = 9 + 6 = 15
Add 8 of fourth term
fifth term = 15 + 8 = 23
Add 10 of fifth term
sixth term = 23 + 10 = 33
Add 12 of sixth term
seventh term = 33 +12 = 45
Final answer:-
Now the sequence 3, 5, 9, 15, 23, 33, __45___
Which expressions are equivalent to x + 2y + x + 2x+2y+x+2x, plus, 2, y, plus, x, plus, 2 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2(x+y+1)2(x+y+1)2, left parenthesis, x, plus, y, plus, 1, right parenthesis (Choice B) B 2x + 4y +42x+4y+42, x, plus, 4, y, plus, 4 (Choice C) C None of the above
Answers
Answer:
A. 2(x+y+1)
Step-by-step explanation:
The expression is
x+2y+x+2
Collect like terms
x+x+2y+2
Add like terms
2x+2y+2
Factorise the expression
2(x+y+1)
Answer:
(A) - 2(x+y+1)
Step-by-step explanation:
you're welcome
(this will be right if ur on kahn:)
A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Answers
Answer:
A)The probability of randomly selecting a score less than X=51 is 0.3085
B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Step-by-step explanation:
Mean =[tex]\mu = 54[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?
Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51-54}{6}[/tex]
Z=-0.5
Refer the Z table for p value
So, P(x<51)=0.3085
So,the probability of randomly selecting a score less than X=51 is 0.3085
B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]
Z=-1
Refer the Z table for p value
So, P(x<51)=0.1587
So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]
Z=-3
Refer the Z table for p value
So, P(x<51)=0.0013
So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
What is the tangent ratio for ∠A?
Answers
Answer:
1/2
Step-by-step explanation:
A town map has a scale of 2cm:0.5km what is the actual distance for a walk measured at 9cm on the map?
Answers
Answer: 2.25 km
Step-by-step explanation:
2 cm = 0.5 km
9 cm = (9 x 0.5)/2
= 2.25 km
Answer:
2.25 km
Step-by-step explanation:
Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map
2cm=0.5km9cm=?
(9cm×0.5km)÷2cm4.5km(cm)÷2cm2.25 kmNOTE: since the cm are the same they will cancel each other out in the division stage
Please help!
A bus traveled 120 miles on a highway in 2 1/2 hours. If the bus traveled at a constant speed, what was the speed of the bus in miles per hour?
Answers
Answer:
48 miles per hour
Step-by-step explanation:
Take the miles and divide by the time to get miles per hour
120 miles / 2.5 hours
48 miles per hour
Answer:
the bus is going 48 mile per hour
Step-by-step explanation:
The polygon below is a regular octagon
Calculate the sides of the angles x and y.
Answers
Answer:
x = 135 y = 45
Step-by-step explanation:
The sum of the measure of interior angles can be found by equation
(n - 2) x 180 n is the number of sides
(8 - 2)180 = 1080
Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.
1080 / 8 = 135
x = 135 degrees
We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.
360 - 2(135) = 90
The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.
90 / 2 = 45
y = 45 degrees.
135 45 Answer:
Step-by-step explanation:
please, someone, answer this asap; mean median mode and range:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
22
12
26
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
19
19.5
20
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
24
38
26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
12
24
38
5) the mode represents the number that appears the least *
True
False
6) To calculate the range we use the highest and lowest number ? *
True
False
7) Average is another word for *
mode
range
mean
median
8) the range indicates the middle number ? *
True
False
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
highest minus lowest
number that appears the most
10) A data set with two modes is known as *
no modes
bimodal
multimodal
Answers
Answer:
1) 22
2) 19.5
3) 26
4) 12
5) False
6) True
7) Mean
8) False
9) Add all the numbers and divide by the total number of numbers
10) Bimodal
Step-by-step explanation:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
To calculate mean you add all the numbers up and divide by the total number of numbers.
[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
For median, arrange the numbers from lowest to largest
12, 12, 15, 24, 31, 38
use (n+1) / 2 to figure out which value is the median
(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)
(15+24) / 2 = 19.5
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
Range is max value - min value
38 is max and 12 is min
38 - 12 = 26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
Mode is the value that appears most frequently
In this case 12 appears 2 times, therefore it is the mode
5) the mode represents the number that appears the least *
False, mode is the number that appears the most
6) To calculate the range we use the highest and lowest number ? *
True
7) Average is another word for *
mean
8) the range indicates the middle number ? *
False, range is the max value - min value
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
10) A data set with two modes is known as *
bimodal
___________________________________
hey!!
Given data=24,31,12,38,12,15summation fX=132
N(total no.of items)=6
Now,
Mean=summation FX/N
=132/6
=22
2. Arranging the data in ascending order
= 12,12,15,24,31,38
N=6
Median=(N+1/2)th item
= (6+1/2) th item
=(7/2)th item
=3.5 th item
Again,
median=3 rd item + 4th item/2
=15+24/2
= 39/2
=19.5
3.Range= highest score- lowest score
=38- 12
=26
4. Mode= 12 because it has more frequency.
______________________________________
Answers:2219.5 26 12FalseTrueMeanFalseadd the numbers and divide by the total number of numbers bimodalHope it helps...Good luck on your assignment
________________________________
Solve the following equation for x.
7x-3y=-13
Answers
Answer:
x = 3/7y - 13/7
Step-by-step explanation:
7x-3y=-13
+3y +3y Add 3y to both sides
7x = 3y - 13 Divide both sides by 7
x = 3/7y - 13/7
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
S,wow,w,
The table below shows the survey results for six randomly selected frogs from a pond.
Gender Length, cm Weight, grams
F 8.5 22.7
F 7 19.3
M 9 25.2
M 6 18.1
F 8 22.1
M 11 23.6
F, female; M, male.
This data set contains
three variables, two of which are categorical
three variables, all of which are categorical
three variables, one of which is categorical
three variables, none of which are categorical
Answers
Answer:
This data set contains three variables, one of which is categorical
Step-by-step explanation:
The three variables are: Gender, Length and Weight
A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values. In this example, the only categorical variable is Gender, because it can only take two possible values, female (F) or male (M). The other two variables are not categorical because they have to be measured, and their values are not fixed.
The enrollment at the 21st Century High School increased from 700
students to 1,200 students over a period of 5 years. What is the
percent increase in enrollment? Round off to the nearest percent.
Answers
Answer:
71% = P
Step-by-step explanation:
500/700 = P/100
500(100) =700p
50,000/700 = 700p/700
P=71%
The percent increase in enrollment is, 71.43%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.
Now,
Increased students = 1200 - 700
= 500
Hence, The increased percent is,
⇒ 500 / 700 × 100
⇒ 71.43%
Learn more about the percent visit:
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Raj paid $5.04 for 6 cookies. Heath paid $4.00 for 5 cookies. Which of the following statements is true?
Raj paid less per cookie.
Heath paid less per cookie.
Raj and Heath paid the same per cookie.
Answers
Answer: Raj paid less per cookie
Step-by-step explanation:
Answer:
Heath paid 4 cents less then raj did per cookie so it would be the second one.
Step-by-step explanation:
help plz!
Find the width of a cereal box that has a volume of 6,860 cm3 and is 35 cm long and 28 cm high.
Answers
Answer:
The width is 7 cm
Step-by-step explanation:
The volume of a cereal box is
V = l*w*h
6860 = 35 * w * 28
6860 =980 w
Divide each side by 980
6860/980 = w
7 = w
Answer:
35*28=6,860
980 = 6,860
divide by 980 to both side
_980__ = _6,860_
980 980
x = 7
Step-by-step explanation:
Pleasee help I am being timed
Answers
Answer:
A: 33.5
B: 24.5
Step-by-step explanation:
Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.
Step-by-step explanation:
Please help with the question below
Answers
Answer:
Not a solution.
Step-by-step explanation:
2=-3/4(3)+3
2=-9/4+3
2 does not equal 3/4.
Therefore, it is not a solution.
Answer:
False
Step-by-step explanation:
Just plug it in.
[tex]2 = -\frac{3}{4}*3 + 3[/tex]
2 = -2.25 + 3
2 ≠ 0.75
It is not equal so it's false.
Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answers
Answer:
Well ,lets see∉ if you add theose numbers togetherФ it maybe it he answe ris 4=67 *64 ---4 67x54 5xe4t4 6x
1. Using the figure below, what is the measure of angle ABE?
Answers
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
please mark me brainliest :)
Help meee with this...............
Answers
Answer:
6
Step-by-step explanation:
3x2
I WILL GIVE BRAINLIEST AND THANKS
Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.
Mean
B.
Interquartile range
C.
Median
D.
Mean Absolute Deviation (MAD)
E.
Range
Answers
20. Rewrite the following expression as a fraction times the variable.
-8a/9
Answers
Answer:
-8a times 1/9
Step-by-step explanation:
This can be thought of as -8a/1 times 1/9. (1/9 is the reciprocal of 9, so were just pulling the fraction apart)
The expression is as fraction times the variable is (-8/9)a.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
As per the given,-8a/9
The variable in the above fraction is a.
Thus, (-8/9)a will be the representation in terms of the product of constant and variable.
Hence "The expression is as fraction times the variable is (-8/9)a".
For more about fractions,
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Please help! Read the question down below!
Answers
that leaves us with —-> 1 trip and 2 buckets
24 ( minus ) 30 = 6
3 ( times ) 2 = 6 ——> 1 trip and 2 buckets
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.
Answers
Answer:
The angle of depression is found.
θ = 26.56°
Step-by-step explanation:
Let point A be the entrance of a Deli.
Let point C be the location of camera.
Let point B be the horizontal distance from entrance to the camera.
It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.
Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.
Using tan θ
[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]
17. Five time as many girls as boys went to the dance. The total of 120 students went to
the dance.
a. If b represents the number of boys and g represents the number of girls, use
the numbers, variables, and symbols shown below to construct a system of
equations to model this situation. Some of the numbers, variables, and
operations will be used more than once and some will not be used at all.
b
g
+
10
3
4
1
5
120
2.
Answers
Answer:
[tex]b+g=120[/tex]
[tex]b+5b=120[/tex]
Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.
[tex]b+g=120[/tex]
The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:
[tex]g=5b\\[/tex]
Insert it in the previous equation to get
[tex]b+5b=120[/tex]
let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5
Answers
Answer:
g(5)=17
Step-by-step explanation:
g(x)=3x+2
Let x = 5
g(5) = 3*5+2
= 15+2
= 17
Answer:
17
Step-by-step explanation:
Just substitute 5 into the position of X
- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.
Answers
Answer:
x = 10
Step-by-step explanation:
Since B is the midpoint of segment AC, then AB = BC.
AB = BC
3x - 8 = x + 12
2x - 8 = 12
2x = 20
x = 10
As per the given information, the value of x is 10. For understanding, check the calculations provided below.
MidpointA midpoint is a point that divides a line into two parts equally.
In the given diagram,
B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.
When a midpoint B divides equally then AB = BC
Given that,
AB = 3x-8 and BC = x+12
B is the midpoint of line segment AC.
So,
AB = BC
Substitute the expression and solve for x
AB = BC
3x-8=x+12
Subtract x,
⇒ 3x-x-8 = x-x+12
⇒ 2x-8=12
Add 8
⇒ 2x = 12+8
⇒ 2x = 20
divide by 2
∵ x = 10
Thus, the value of x is 10.
Learn more information about 'Midpoint' here:
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randomly selecting two grape juice boxes without replacement
Answers
Step-by-step explanation:
1/2 on the first round, then 1 on the second. When you have 2 juice boxes on the first round, there is a 50/50 (reduce to 1/2) chance that you will get one or the other. But after one is chosen, there is one left, because there is no replacement, and it is guarantied that the one will be picked. 100/100 or 1.
Answer:
I am answering to this question: There are 15 cherry, 17 grape, and 14 orange juice boxes in the cooler. Find the probability of randomly selecting two grape juice boxes without replacement.
Step-by-step explanation:
136/1035
plz mark brainliest if this is the question.
