Which expression(s) are equivalent to (5^1/8•5^3/8)^3?O 5 2/3O 5 9/8O 5^3O 5^9

Answers

Answer 1

The last expression is equivalent to √5³.

What equation contains an expression?

The equal to sign (=) is the best indicator of whether a given problem is an equation or an expression because it indicates that the problem is an equation.

                    It is only an expression if there isn't an equal to (=) sign present. It contains data that is used to demonstrate value, such as numbers, variables, and operators.

                   \(= ( 5^{1/8} * 5^{3/8} )\)

                   \(= ( 5^{1/8} * 5^{3/8} ) \\= 5^{(1/8 + 3/8)}\)

                    \(= 5^{4/8}\)

                    \(= 5^{(1/2)}\)

                   \(= [5^{(1/2)}]^{3}\)

    Because of the "Power of a power property"

                                    = \(5^{3/2}\)

The last expression is equivalent to √5³.

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Related Questions

Determine if the given set is a subspace of P₂. Justify your answer.
The set of all polynomials of the form p(t) = at², where a is in R.
Choose the correct answer below.
OA. The set is a subspace of P₂. The set contains the zero vector of P₂, the set is closed under vector addition, and the set is closed under multiplication on the left by mx2 matrices where m is any positive integer.
OB. The set is a subspace of P₂. The set contains the zero vector of P₂, the set is closed under vector addition, and the set is closed under multiplication by scalars.
OC. The set is not a subspace of P₂. The set is not closed under multiplication by scalars when the scalar is not an integer.
OD. The set is not a subspace of P₂. The set does not contain the zero vector of P₂

Answers

OB. The set is a subspace of P₂. The set contains the zero vector of P₂, the set is closed under vector addition, and the set is closed under multiplication by scalars.

To show this, we need to verify the three conditions for a set to be a subspace:

The set contains the zero vector: The zero vector of P₂ is 0t² = 0, which is in the set since any real number multiplied by 0 is 0.

The set is closed under vector addition: Let p(t) = at² and q(t) = bt² be two polynomials in the set. Then p(t) + q(t) = (a +

Identify the parent function and designee the transformations.

Identify the parent function and designee the transformations.

Answers

A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family.

What is the parent function equation?A family of functions' simplest version of an equation is a parent function. Parent functions come in a variety of forms, including: linear processes f(x)=x f(x)=x, where the function's degree is 1 and it symbolises a straight line.The simplest function that nonetheless complies with a certain type of function's specification is a parent function. For instance, y = x would be the parent function when considering the linear functions that make up a family of functions. The most basic linear function is this one.y=x in a linear function. Quadratic Functions with Parabolas: y=x Cubic functions for polynomial functions: y=x. Fundamental Value Functions.

Find the attachment answer

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Identify the parent function and designee the transformations.

I need help with social studies, math, science and Creative Expressions

Answers

Answer:

Ohhk mate

kindly let us know what help u need

Answer:

ok? so what the question?

Step-by-step explanation:

does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?

Answers

Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.

What is eccentricity?

In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.

Here,

In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.

As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.

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HELP PLEASE HELP ILL GIVE POINTS AND 5 STARSSSS

HELP PLEASE HELP ILL GIVE POINTS AND 5 STARSSSS

Answers

Answer:

6 days

Step-by-step explanation:

1,800 x 2 (1,800 times two six hour shifts) = 3600

18,600/3600 = 5.1....

Its over 5 days and you can't have 5.1 of a day so you have to go with 6

Andy has $123in his checking account. if andy has $7 less than 4 times the amount that rachel has in her account, what is the amount of money in rachels account?

Answers

Answer:

Balance in Rachel account  = $37.75

Step-by-step explanation:

Given:

Balance in Andy checking account = $123

Balance in Andy checking account = 4[Balance in Rachel account - 7]

Find:

Balance in Rachel account

Computation:

Assume;

Balance in Rachel account  = a

So,

Balance in Andy checking account = 4[a - 7]

123 = 4[a - 7]

123 = 4a - 28

4a = 151

a = 37.75

Balance in Rachel account  = $37.75

there are 8 pairs of black socks and 4 pairs of white socks in a drawer. how likely is it that you would randomly pick a black pair of socks

Answers

Answer: I would pick black socks too because there are 8 pair of black socks with 4 pairs of white socks and 8 is > greater than 4.

Okay, so...

If there are 8 black socks + 4 white socks, then it = 12 socks totall. the fract Would Be 8/12 but if you simplify it, its 4/6, if you simplify it one more time you final answer is.....

You will have a 2/3 chance of picking a black sock.

need help what is this

need help what is this

Answers

Answer:

2nd option

Step-by-step explanation:

Substitute the values of x from the domain into f(x) for range

f(2) = 2³ + 1 = 8 + 1 = 9

f(3) = 3³ + 1 = 27 + 1 = 28

f(4) = 4³ + 1 = 64 + 1 = 65

range is {9, 28, 65 }

Answer:

hwhiwbshs bengshhwwvvw

Step-by-step explanation:

One angle measures 150°, and another angle measures (2k + 88)°. If the angles are vertical angles, determine the value of k.

Answers

Answer:

k = 31

Step-by-step explanation:

if+the+correlation+between+two+variables+is+.496,+how+much+of+the+variance+has+not+been+accounted+for?++a.+24.6%++b.+49.6%++c.+50.4%++d.+75.4%

Answers

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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explain how you can put the principles of distributed practice, the spacing effect, and the testing effect to use in studying for the ap test.

Answers

Utilizing these principles, you can improve your retention and recall of information, ultimately leading to better performance on the AP test.

To effectively study for the AP test, it's crucial to utilize the principles of distributed practice, the spacing effect, and the testing effect. Distributed practice refers to spreading out your study sessions over a longer period of time rather than cramming all your studying in one sitting. The spacing effect suggests that information is better retained when it's learned in intervals rather than all at once. Additionally, the testing effect states that taking practice tests and quizzing yourself on the material helps improve retention and recall.

To apply these principles, you could create a study schedule that allows for frequent but shorter study sessions, rather than trying to study for hours on end. Take practice tests and quizzes regularly to reinforce the material, and give yourself ample time between each practice test to review and reflect on what you got wrong. You could also try different study techniques, such as flashcards or summarizing material in your own words, to mix up your studying and keep it engaging.


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If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?

Answers

Answer:

350 hours

Step-by-step explanation:

12/6 = 2
700/2 = 350
There are double the amount of workers so it is half the time.

The front of an A-frame cottage has the shape of an isosceles triangle. It stands 28 feet high and is 18 feet wide at its base. What is the angle of elevation of its roof? (Round your answer to two decimal places.)

Answers

9514 1404 393

Answer:

  72.18°

Step-by-step explanation:

The altitude of the front is 28 ft. It cuts the base in half, so the other leg of the right triangle is (18 ft)/2 = 9 ft. You know the tangent relation is ...

  Tan = Opposite/Adjacent

The angle of interest has opposite side 28 ft and adjacent side 9 ft, so we have ...

  tan(elevation angle) = (28 ft)/(9 ft)

  elevation angle = arctan(28/9)

  elevation angle ≈ 72.18°

quick! A cone has a volume of 1356.48 cubic centimeters and a height of 16 centimeters. What is its radius?

Answers

Answer:

≈9

Step-by-step explanation:

V= πr^2(h/3)

1356.48= πr^2(16/3)

r= 8.99 or about 9

On her way to visit her parent ,Jennifer drives 265 miles in 5 hours what is her average
rate of speed in miles per hour

Answers

Answer:

53 mph

Step-by-step explanation:

Answer: She would be going 53 mph

Step-by-step explanation:

you take 265 and divide it by the 5 hours

leaving you with 53 mph

Is the following data an example of linear function?

Is the following data an example of linear function?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

because A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate

Which graph shows y=⌊x⌋+2?

Answers

There is no graph... how are we supposed to help

Given the graph below, locate the points of the reflection over the x-axis.

Given the graph below, locate the points of the reflection over the x-axis.

Answers

Answer:

Answer:

A: (1,3)

A': (1,-3)

---

B: (5,1)

B': (5,-1)

---

C: (-2,2)

C': (-2,-2)

---

D: (-5,4)

D': (-5,-4)

The reflection of the given points over the x-axis is:

(-5, -4), (-2, -2), (1, -3), (5, -1)

What is Coordinate Geometry?

By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given data:

We are given a graph, and we have to find the reflection of the points in the graph over the y-axis.

From the graph given, the points are as as follows:

Let's assume the points as A, B, C and D

A = (-5, 4)

B = (-2, 2)

C = (1, 3)

D = (5, 1)

The reflection over the x-axis are as follows:

A' = (-5, -4)

B' = (-2, -2)

C' = (1, -3)

D' = (5, -1)

Hence, the reflection of the given points over the x-axis is:

(-5, -4), (-2, -2), (1, -3), (5, -1)

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Evaluate x4 + 4x3 - 2x2 + 11x - 6 for x = 3

Answers

Step-by-step explanation:

\(f(x) = {x}^{4} + 4 {x}^{3} - 2 {x}^{2} + 11x - 6\)

\(f(3) = {3}^{4} + 4. {3}^{3} - 2. {3}^{2} + 11.3 - 6\)

\(f(3) = 81 + 4.27 - 2.9 + 33 - 6\)

\(f(3) = 81 + 108 - 18 + 33 - 6\)

\(f(3) = 198\)

Answer:

198

Step-by-step explanation:

x4 + 4x3 - 2x2 + 11x - 6 for x = 3

3^4 + 4 * 3^3 - 2 * 3^2 + 11 * 3 - 6 =

81 + 4 * 27 - 2 * 9 + 11 * 3 - 6 =

81 + 108 - 18 + 33 - 6 =

198

i need help with this

i need help with this

Answers

Answer:

30 square cm

Step-by-step explanation:

Key skills needed are: Triangle similarity, multiplication, proportions, subtraction

1) We first find that Triangle BCD is similar to triangle ACE. This is because they both have 1 right angle, and both share Angle BCD. Therefore, the other two angles are also the same measure.

2) Based on the statement above, 6/9 = 8/CE (CE just means the length of CE)

3) Solve this by cross multiplying -

\( \frac{6}{9} = \frac{8}{ce} \)

This means that 6(CE) = 8(9)

4) Multiply it out: 6(CE) = 72

5) Divide by 6 and get CE = 12 cm.

6) Then use base time height to find the area of both triangles.

7) For triangle BCD: 6(8)/2 = 6(4) = 24 square centimeters

8) For Triangle ACE: 9(12)/2 = 9(6) = 54 square cm

9) To find the area of ABDE, you would subtract the are of triangle ACE by the area of triangle BCD

10) This is 54 - 24 = 30 square cm.

Hope you understood and have a nice day!! :D

An item is regularly priced at $95. It is on sale for 80% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

Answer:

76??

Step-by-step explanation:

95×0.20=19

95-19=76

yx +2 +6-x. if x = 4, and y = 6

Answers

Step-by-step explanation:

x = 4

y = 6

= yx + 2 + 6 - x

= 6 × 4 + 2 + 6 - 4

= 24 + 2 + 6 - 4

= 32- 4

= 28

\(...\)

☘☘☘...

Hi ~

﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌

♕ E x p l a n a t i o n : -

\(\bold{= \: 6 \: ^. \: 4 \: + \: 2 \: + \: 6 \: - \: 4}\)

\(\bold{6 \: ^. \: 4 \: + \: 2 \: + \: 6 \: - \: 4 \: = 28}\)

\(\bold{= 28}\)

Hope It Helps...

\(\textsc{Answer:}\)

TheAestheticGirl

What is the least common denominator of 5/9 and 1/3

Answers

Answer:

3 is the least common denominator

A television station claims that the amount of advertising per hour of broadcast time has an average of 16 minutes and a standard deviation equal to 1.4 minutes. You watch the station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 8 minutes. Calculate the z-score for this amount of advertising time. Group of answer choices

Answers

Answer:

-4.29

Step-by-step explanation:

The computation of the z score is shown below:

data provided in the question

Average minutes = 16 minutes

Standard deviation = 1.4 minutes

Amount of advertising time = 8 minutes

Based on the above information, the z score is

\(= \frac{x-m}{\sigma} \\\\ = \frac{8-14}{\1.4} \\\\ = \frac{-6}{1.4}\)

= -4.29

Hence, the z score is -4.29. It is come by considering the above formula

PLEASE. HELP. ME.
Find the slope and equation, Select all.
that apply
b. Slope is zero
c. Slope is undefined

PLEASE. HELP. ME.Find the slope and equation, Select all.that applyb. Slope is zeroc. Slope is undefined

Answers

Answer:

C

Step-by-step explanation:

Because as it says the slope is unidentified well.....it is

gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 25 feet high?

Answers

Below is the answer

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gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. it forms a pile in

Show that the process X(t):=e t/2
cos(W(t)),0≤t≤T, is a martingale w.r.t. any filtration for Brownian motion and represent it as an Itô process on any time interval [0,T],T>0.

Answers

A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

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The measure of an exterior angle of a regular polygon is 45 degrees name then shape of the polygon

Answers

Given

Exterior angle of a regular polygon = 45 degree.

Find

Name of the shape of polygon

Explanation

As we know that sum of exterior angle of exterior angle is 360 degree.

given each angle = 45 degree

so,

number of sides of regular polygon =

\(\begin{gathered} \frac{360\degree}{45\degree} \\ \\ 8 \end{gathered}\)

number of sides = 8

Final Answer

The shape of the regular polygon = octagon

What is the maximum value of the transformed function, y = -3cos (2x - 8) + 5
A. 3 units
B. 5 units
C. 8 units
D. 11 units

Answers

Answer:

C. 8 units.

Step-by-step explanation:

The maximum value of the cosine ( cos) function is 1

So, for y = 3cos(2x - 8) + 5

Maximum value  is 3 *1 + 5 = 8.

y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.

(L2) A(n) _____ circle is a circle that is contained within a polygon so that the circle intersects each side of the polygon at exactly one point.

Answers

(L2) A(n) inscribed circle is a circle that is contained within a polygon so that the circle intersects each side of the polygon at exactly one point.

An inscribed circle is also known as an incircle, and it is the largest circle that can be inscribed inside a polygon. In a polygon, if all sides are of equal length and all angles are of equal measure, then the inscribed circle will be a regular circle. The center of the inscribed circle is called the incenter, and it is the point of concurrency of the angle bisectors of the polygon. The incenter is equidistant from all sides of the polygon, and the radius of the inscribed circle is equal to the distance between the incenter and any side of the polygon.

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The product of two consecutive odd integers is 35 . If is the smallest of the integers, write an equation in terms of that describes the situation, and then find all such pairs of integers. The equation that describes the situation is The positive set of integers is The negative set of integers is solve pls brainliest Triangle ABC represents a scale model of a tabletop. Triangle DEF represents the actual tabletop. How does in the actual table compare to angle B in the scale model?A. The two angles are congruent because angles B and C are congruent.B. Angle F is 1.5 times the measure of angle B.C. The two angles are congruent because each measures 55.D. 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