Answers
125 = 5³, and the given expression reduces to
[tex]\left(\sqrt{125}\right)^{\frac13}\cdot\left(\sqrt[3]{125}\right)^{\frac12}=\left(125^{\frac12}\right)^{\frac13}\cdot\left(125^{\frac13}\right)^{\frac12}=125^{\frac16}\cdot125^{\frac16}=125^{\frac13}[/tex]
so it has a value of 5.
Now:
• the first choice is equivalent, since 625 = 25², so
[tex]\dfrac{\sqrt[3]{625}}{5^{\frac13}}=\dfrac{25^{\frac23}}{5^{\frac13}}=\dfrac{5^{\frac43}}{5^{\frac13}}=5[/tex]
• the second choice is not equivalent, since
[tex]5 \cdot 25^{\frac13} = 5 \cdot 5^{\frac23} = 5^{\frac43}[/tex]
• the third choice is also equivalent, since
[tex]\dfrac{\left(\sqrt[4]{5}\right)^7}{125^{\frac14}}=\dfrac{5^{\frac74}}{5^{\frac34}}=5[/tex]
• the fourth choice is also equivalent, since
[tex]\dfrac{5^{\frac12}\cdot25^{\frac13}}{\sqrt[6]{5}}=\dfrac{5^{\frac12}\cdot5^{\frac23}}{5^{\frac16}}=\dfrac{5^{\frac76}}{5^{\frac16}}=5[/tex]
Related Questions
please help due in 2 min
and I can't get another one wrong
Answers
Answer:
True
Step-by-step explanation:
Both functions are straight lines. This means they will continue in both directions forever. So the both have a range and domain of all real numbers. Linear functions commonly have range and domains of all real numbers.
What is the slope?
WILL MARK BRAINLIEST!! !!
(picture included ^^^^)
Answers
Answer:
answer 3
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
slope is rise over run
point at (0,-4) and (2,1)
PLEASE ANSWER 25 points!!!!!! I will also give a brainiest if you answer it right!!!!!!!
Describe a situation in the real world, where at least three types of science would be used to solve a problem. Use details to support your answer.
Answers
Answer:
Running
There are many different types of science that go into running, including the following:
Psychology (think you can/can't do it, how tired you are, how much further you can go/how much further you think you can go, dissociating and distracting, associating and motivating, etc.)
Physiology (how fit one is, training, etc.)
Nutrition (food/drinks that are put into one's body, vitamins, etc.)
Physics ("The greater the force Fx, the greater the horizontal running velocity, and the longer the arc length, hence the faster the runner will run. Arm swinging is an important part of running. It serves to stabilize the body" - Real World Physics Problems (.com))
Newton's Three Laws (gravity, inertia, friction, net force exerted, equal and opposite reactions, etc.)
Biology (Chemical balance in your blood)
And more!
And remember: everything connects with something else, for example, nutrition can connect with all of the things on this list (yes, even phycology and physics). Hope this helps! :-)
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the value for x into the second equation: 3. Solve for y: 4. Substitute y into either original equation: 5. Write the solution as an ordered pair: x = 7 – 3y 2(7 – 3y) + 4y = 8 14 – 6y + 4y = 8 14 – 2y = 8 –2y = –6 y = 3 x + 3(3) = 7
Answers
Answer:
(-2,3)
Step-by-step explanation:
the mass, m, of an object varies directly as the cube of its length, l. m=72 when l=2. Find m when l=5.
Answers
Answer:
M=180 when L=5
Step-by-step explanation:
If m is 72 when mass is 2 then 2.5×2 =5 and so m when 2.5×72=180 :)
how to write "360.124" in expanded and exponential form
Answers
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
Exponential form- 300+60+1/10+2/100+4/1000
Expanded form- 300+60+1/10+2/100+4/1000 or Three hundred sixty and one two four.
At Kennedy High School, the probability that a student takes Technology and Spanish is
0.087. The probability that a student takes Technology is 0.68. What is the approximate
probability that a student takes Spanish given that the student is taking Technology?
Answers
0.13
Explanation:
P(B|A) = P(A and B) / P(B)
P(spanish|Technology) = 0.087/0.68 = 0.1279 ~ 0.13
The probability that a student takes Spanish given that the student is taking Technology is; 0.13
To solve this, we need to understand Baye's theorem of conditional probability which is;
P(A|B) = P(AB)/P(B)
Where;
P(A|B) is the probability of A given that B is true
P(AB) is probability of A & B
P(B) is probability of B
We are given;
P(A student takes technology) = 0.68
P(student takes both technology and Spanish) = 0.087
Applying Baye's theorem, we have;
P(that a student takes Spanish given that the student is taking Technology) = 0.087/0.68
P(that a student takes Spanish given that the student is taking Technology) = 0.13
Read more at; https://brainly.com/question/15289416
Find the required annual interest rate, to the nearest tenth of a percent, for $ 1170 to grow to $ 1708
if interest is compounded quarterly for 6 years.
A) 6.4%
B) 1.6%
C) 3.2%
D) 7.9%
Answers
Answer:
Step-by-step explanation:
The formula you need for this is
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex]
where A(t) is the final amount after the compounding is done, P is the initial investment, r is the interest rate in decimal form, n is the number of times per year that the money is compounded, and t is the time in years. Filling in accordingly:
[tex]1708=1170(1+\frac{r}{4})^{(4)(6)}[/tex]
First things first. Simplify by division and then multiply the n by the t to get the exponent:
Divide 1708 by 1170 to get the equation:
[tex]1.45982906=(1+\frac{r}{4})^{24}[/tex]
Undo the 24th power by taking the 24th root of both sides to get:
[tex]1.015888202=1+\frac{r}{4}[/tex] Now subtract 1 from both sides to get
[tex].0158882024=\frac{r}{4}[/tex] Multiply both sides by 4 to finish it off and get that
r = .0635528 but since we want the percentage, we move the decimal 2 places to the right and round to r = 6.4% which is choice A.
The Sundown Parking Garage charges $5.00 to park a car . What is the total charge for parking a car for 4 hours in this garage?
Answers
Answer:
20 dollars
Step-by-step explanation:
5.00 x 4 = 20
because it’s $5 for 1 hour then you multiply by 4 to get to 4 hours and 5x4=20
Which number line shows the solution to 11x + 14 <-8
Answers
Answer:
The answer is D
Step-by-step explanation:
I did it on edg
Scientists notice structural similarities between fossils of a land animal and an aquatic organism. They know the similarities are not a result of the two organisms having to adapt to similar environments. What can they attribute the structural similarities to?
convergent evolution
common ancestry
transitional evolution
similar mating habits.
Answers
Answer: B common ancestry
Step-by-step explanation: .
Answer: B.
Step-by-step explanation:
2343566777765x646778009886554
Will Mark As BRAINLIEST
Answers
Answer:
1.5157675e+27
Step-by-step explanation:
Answer:
1.5157675e+27
Step-by-step explanation:
hopefully, you know what that number is
I need help with solving this problem please!!! I will give brainliest if correct
Answers
Answer:
Congruent angles
Step-by-step explanation:
The 2 angles are Corresponding angles and are congruent
Beth enlarged the triangle below by a scale of 5.
A triangle with a base of 4 centimeters and height of 3.5 centimeters.
She found the area of the enlarged triangle. Her work is shown below.
One-half (4) (3.5) (5) = 35 centimeters squared
What was Beth’s error?
Answers
Answer: She should have multiply each of the sides the scale value before multiplying to find the area.
Step-by-step explanation:
They are two sides to the triangle which is the base and the height and each side have a different length so you will have to first multiply each side length by the scale value to find the new length of the enlarged triangle.
base: 4 *5 = 20
height : 3.5 * 5 = 17.5
Now since the base is 20 cm and the height is 17.5 cm you will use the area of a triangle formula to solve for the area.
A = 1/2* b * h
A = 1/2 * 20 * 17.5
A = 10* 17.5
A = 175
or she could have multiply 35 which is the number he obtained by another 5 to find the area.
Answer:
c i think not sure sorry
Step-by-step explanation:
Find the midpoint of each line segment with the given endpoints: (2,0) and (-2,4)
Answers
Answer:
(0,2)
Step-by-step explanation:
Jeff is shopping for a new T-shirt at a clothing store. The graph shows the total price for the shirts depending on how many T-shirts Jeff buys. What is the price of seven T-shirts?
Answers
Answer:
$63 is the answer to this problem
How many 3/8's are in 6?
Answers
Answer:
That is 6 divided by 3/8, better written as
6
--
1
====
3
--
8
Invert the 3/8 and then multiply:
6 8
-- * ---
1 3
Reduce 6/3: 6/3 = 2
Then you have 2(8), or 16 (answer)
Answer:
There are 16 3/8's in 6
Step-by-step explanation:
6/1 divided by 3/8
Invert the 3/8 and then multiply
6/1 times 8/3
Reduce 6/3: 6/3 = 2
answer: 16
WILL MARK BRAINLIEST FOR CORRECT ANSWER!!
Find an expression which represents the difference when (9x-10y) is subtracted from (-8x-8y) in simplest terms.
Basically what is (9x-10y)-(-8x-8y)?
Answers
Brainliest is always appreciated
2(4x - 1)+ 1 = 2x + 6x – 2
How many solutions do you get when you solve ?
Answers
Answer:
Step-by-step explanation:
2(4x-1)+1=2x+6x-2
8x-2+1=2x+6x-2
8x-1=8x-2
No solution
James paid an initial fee of $6.00 for a movie rental service. Each time he rents a movie he is charged $2.00. Sarah uses a different movie rental service that charges based on the equation y = 3x + 4, where y is the total cost and x is the number of movies rented. At what point are the prices of the two services the same?
Answers
Answer:We'll call the number of movies you rent \begin{align*}x\end{align*} and the total cost of renting movies for a year \begin{align*}y\end{align*}. ... pay per year and the rental fee is the dollar amount you pay when you rent a movie. ... The lines cross because the price of rental per movie is different for the two ...
can i get brainliest now
Step-by-step explanation:
Answer:
The prices of the two services are the same when two movies have been rented
Step-by-step explanation:
We can figure out at what point the two services cost the same by using the y=mx+c formula
James:
y=2x+6
Sarah:
y=3x+4
We then figure out at what point are the two services the same by making the equations equal each other and then solve from their
3x+4=2x+6
3x+4-2x=2x+6-2x
x+4-4=6-4
x=2
Therefore the price of the two services are the same when 2 movies have been rented
what is the LCM of 6,4,10
Answers
6 has a factor of 2 and 3
4 has a factor of 2
10 has a factor of 2 and 5
The LCM = 60
Answer:
60
Step-by-step explanation:
The LCM is the lowest common multiple, this means the smallest number that 6, 4 and 10 can go into without giving a decimal number, so they give an integer.
Here's a trick, use prime factorizationPrime factorization means, write a number as the result of the multiplication of prime numbers prime numbers are numbers with only two factors, 1 and itselfSo the prime factorization of 6, 4 and 10 is6 = 2 x 3 4 = 2 x 210 = 2 x 5For each prime factor, find where it occurs most often as a factor and write it that many times in a new list. So 2 occurs most often as a factor of 4, so we use two 2s3 occurs most often as a factor of 6, so we use one 35 occurs most often as a factor of 10, so we use one 5Then multiply this new list of numbers 2 x 2 x 3 x 5 = 60 that's how you quickly get the LCMLeda is grouping 895 dimes into rolls of 10 dimes. How many rolls will she have? How many extra dimes will there be?
A. 8 rolls, 5 extra dimes
B. 40 rolls, 5 extra dimes
C. 89 rolls, 5 extra dimes
D. 800 rolls, 9 extra dimes
Answers
c. 89 rolls 5 extra dimes
The pet store has sold 5 dogs to every 2 cats during the month of September. If the pet store sold a total of 35 dogs and cats during the
month of September how many dogs did they sell?
Answers
Answer:
28
Step-by-step explain:
sold 5 dogs to every 2 cats
35-5-2=28
35 - 5 = 30
30-2=28
2 cats5 dogsThe track is 3/5 of a mile long. If Tyrone jogged around it twice, how far did he run?
Answers
He ran for 6/5 miles long.
What is multiplication?In maths, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem.
Given that, Tyrone run on a 3/5 long track for twice.
3/5*2 = 6/5
Hence, He ran for 6/5 miles long.
For more references on multiplication, click;
https://brainly.com/question/5992872
#SPJ2
??please help me solve
Answers
Answer:
y = -4x - 6
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: Slope: -4
Point: (-2, 2)
To write an equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). Since we were given the value of the slope, all we have to do now is find b. To do this, input the given values of m and the point into the equation and solve for b:
y = mx + b
2 = -4(-2) + b
2 = 8 + b
-6 = b
The y-intercept is -6.
Now that we know the slope and the y-intercept, we can write the equation:
y = -4x - 6
DESCRIBE PRINCIPAL ROOTS AND TELLS WHETHER THEY ARE RATIONAL OR IRRATIONAL?
TANONG MO SA NANAY MO NANG NASAGUTAN MO BRUH
Answers
Answer:
The principal roots are rational numbers
Step-by-step explanation:
Principal roots :
The principal root is determine if the radicand is a perfect n t h power of a number then the root is rational.
Therefore the principal root is a rational number
Examples of a principal root
a) √4 = 2
b) [tex]\sqrt{0.81} =0.9[/tex]
c) [tex]\sqrt{\frac{9}{36} } = \frac{\sqrt{9} }{36} = \frac{3}{6} = \frac{1}{2}[/tex]
A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides
Answers
Answer:
Look at the picture
Step-by-step explanation:
For 0 rise it would just be eight dollars
Which of the following statements must be true to prove that lines p and q are parallel?
Question 16 options:
A)
∠4 ≅ ∠6
B)
∠1 ≅ ∠7
C)
∠2 ≅ ∠7
D)
∠1 ≅ ∠4
Answers
Answer:
B.
Step-by-step explanation:
sorry if it didn't work
Answer:
B
Step-by-step explanation:
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!
9x-99≥18x
Answers
Answer:
x≤−11
Step-by-step explanation:
−99≥18x−9x
−99≥9x
−
9
99
≥x
−11≥x
x≤−11
6s-4=8 (2+ 0.25s)
solve for s
Answers
Answer:
s=5
Step-by-step explanation:
6s-4=16+2s
6s=20+2s
4s=20
s=5
Answer:
S=5
Step-by-step explanation: