Which of these choices show a pair of equivalent expressions? Check all that
apply.
A. (481)5 and 815/4
B. 67/2 and (VG)
C. 52/3 and (15)3
O D. 75/7 and (77)5
Answers
Given:
The pair of expressions in the options.
To find:
The pairs which show a pair of equivalent expressions.
Solution:
Property of exponent:
[tex](\sqrt[n]{x})^m=x^{\frac{m}{n}}[/tex]
In option A,
[tex](\sqrt[4]{81})^5=81^{\frac{5}{4}}[/tex]
So, option A is correct.
In option B,
[tex]6^{\frac{7}{2}}=(\sqrt[2]{6})^7[/tex]
[tex]6^{\frac{7}{2}}=(\sqrt{6})^7[/tex]
So, option B is correct.
In option C,
[tex]5^{\frac{2}{3}}=(\sqrt[3]{5})^2[/tex]
[tex]5^{\frac{2}{3}}\neq (\sqrt{5})^3[/tex]
So, option C is incorrect.
In option D,
[tex]7^{\frac{5}{7}}=(\sqrt[7]{7})^5[/tex]
[tex]7^{\frac{5}{7}}\neq (\sqrt{7})^5[/tex]
So, option D is incorrect.
Answer:it’s a and b
Step-by-step explanation:
did the test
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Answer: The test is conducted with an electromagnetic or vacuum release mechanism which releases a soccer ball from a height of 2 meters. From that the height of the rebound is measured by recording the sound of the first and second bounce. The time between the first and second bounce is measured. Also During a collision, some of the ball's energy is converted into heat. As no energy is added to the ball, the ball bounces back with less kinetic energy and cannot reach quite the same height. ... It reaches way higher than from the height it was released.
Hope this helps have a awesome day/night❤️✨Step-by-step explanation:
Find the measure for angle A.
A. 75
B. 60
C. 30
D. 38
Answers
So the last two add up to 90
x+37+x+67=180 SPOE and CLT
-37 -67 -37
-67
2x=76
———-
2
X=38
180 = 90 + x + 37 + x + 67
180 = 194 + 2x
180 - 194 = 2x
-14 = 2x
-14/2 = 2x/2
-7 = x
substitute x for (-7)
∠A = x + 37
∠A = (-7) + 37
∠A = 30°
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Answer:
Step-by-step explanation:
The two horizontal line segments are the parallel sides of the trapezoid.
∠1 and ∠2 are corresponding angles of a transversal across parallel lines, so
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E
D
Р
B
O
1 - Orange
2 - Green
3- Blue
Ο Ο
4 - Purple
O
None
Answers
Answer: None
Step-by-step explanation:
angle APD would suggest that P is the vertex (where the rays of the angle originate) and A and D would be the rays that extend outward from the vertex forming an angle. This angle is not marked on the diagram.
Misty surveyed 200 students and asked their favorite type of music. The results showed that 18 students picked rock music as their favorite. What percentage of students in
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Answer
A. 0.09%
B.996
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Answer:the third one
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
These numbers are common multiples of ________.
6, 12, 18, 36
A) 2 and 4
B) 2 and 3
C) 3 and 4
D) 4 and 6
Answers
From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
What are common multiples?
Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.
To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:
6 = 2 x 3
12 = [tex]2^2[/tex] x 3
18 = 2 x [tex]3^2[/tex]
36 = [tex]2^2[/tex] x [tex]3^2[/tex]
To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...
Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
To learn more about Common multiples from given link.
https://brainly.com/question/30060162
#SPJ1
A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is the
probability that it will land on yellow all 3 times?
Answers
Answer:
33.3%
Step-by-step explanation:
100 divided by 3 is 33.3
-2 (x - 3) + 6 = - (x + 5)
Solve for x and SHOW WORK please :)
Answers
Answer:
x=17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
-2x+6+6=-x-5
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I ned to no what es 5 + 6 for my kindergardin
Answers
Answer:
11
Step-by-step explanation:
5+6=11
Have a great day!!!
What values of x and y satisfy the system of equations shown below?
3x − 2y = 13 9x − 4y = 35
(3,2)
(2,3)
(3,−2)
(−2,3)
Plz help with this, it's only for 10 points, Don't give me the wrong answer and steal my points or i will report!
Answers
Answer:
the correct values are ( 3, -2)
Answer:
(3,-2)
Step-by-step explanation:
x=13/3+2/3y
9x-4y=35
9(13/3+2/3y)-4y=35
y=-2
x=13/3+2/3×(-2)
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Answers
Answer:
15
Step-by-step explanation:
Given
Hypotenuse (h) = 17 cm
perpendicular (p) = 8 cm
base (b) = ?
we know by using Pythagoras theorem
b = √h² - p²
= √ 17² - 8²
= √ 225
= 15 cm
or
YZ = 15 cm
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Multiply and simplify. Plz show work!
(3x − 2)(5x^2 − 7x + 2)
Answers
Answer:
15^3−31^2+20−4
Step-by-step explanation:
Distribute
(3−2)(5^2−7+2)
3(5^2−7+2)−2(5^2−7+2)
Distribute
3(52−7+2)−2(5^2−7+2)
15^3−21^2+6−2(5^2−7x+2)
Distribute
15^3−21^2+6−2(5^2−7+2)
15^3−21^2+6−10^2+14−4
Combine like terms
15^3−21^2+6−10^2+14−4
15^3−31^2+6+14−4
Combine like terms
15^3−31^2+6+14−4
15^3−31^2+20−4
Solution
15^3−31^2+20−4
the cost of 5 cans of dog food is 4.35. how much do 11 cans of dog food cost
Answers
É só vc ir somando até 11.
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
If cosθ = 8/17 then find tanθ . *
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Answers
Answer:
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Explain why the relation represented by each equation is or is not linear.
a. y=2+3x
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Answers
Answer:
A, b, c, y are linear becouse every value of domain has one value in range
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
21.P
22.Q
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Answer:
x = sqrt(147)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +7^2 = 14^2
x^2 +49 = 196
Subtract 49 from each side
x^2 = 147
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sqrt(x^2) = sqrt(147)
x = sqrt(147)
Answer:
[tex]7\sqrt{3}[/tex] or 12.12
Step-by-step explanation:
The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.
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Cube
Answer
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a group of students are booked to go on a sports tour. The total cost of theA tour is $18000. write an expression in x for the amount that each learner must pay
Answers
Answer:
x+y=18000
Step-by-step explanation:
x= ammount of students
y= number of days or places going to
In a circle, if you connect the edge of diameter and a point on the circumference, it forms a right triangle.
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Answers
Answer:
always true
Step-by-step explanation:
What is the slope of a vertical line?
What is the slope of a horizontal line?
Answers
Answer:
The slope of a vertical line is undefined. The slope of a horizontal line is 0
Step-by-step explanation:
Slope is rise/run
and the rise of a horizontal line is zero since it neither increases nor decreases; therefore, the slope is zero. while a vertical line has undefined slope since it does not run horizontally because division by zero is an undefined operation.
A group of students stood in a circle to play a game. The circle had a diameter of 15 meters. Which measurement is closest to the circumference of the circle in meters?
Answers
Answer: 47cm
Step-by-step explanation:
Thw circumference of a circle is given as: = 2πr or πd
where
π = 3.142
d = diameter = 15 meters
Circumference = πd = 3.142 × 15
= 47.13 cm
= 47cm
The residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 7 to 4 if there were 3672 no votes what was the total number of votes
Answers
Answer: 10,098 votes
Step-by-step explanation:
The ratio is 7 : 4 which means that for every 7 yes votes, there were 4 no votes.
To find the total votes, add the ratios:
= 7 + 4
= 11
4/11 are the no votes out of the total. Assuming the total is x, the formula is:
4/11x = 3,672
x = 3,672 / 4/11
x = 10,098 votes