The expression \sqrt[3]{3}\cdot \sqrt[5]{3^6}
3

3


5

3
6


is equivalent to

Answers

Answer 1
3/6 because I got it right on the quiz and it was easy txt me if you need help
Answer 2

By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]

How to find equivalent value

To simplify the given expression,  combine the two radicals using the property of exponentiation.

First, simplify the expression inside the second radical:

√[5]{[tex]3^6[/tex]}

Since the index is 5,  rewrite the expression as:

[tex](3^6)^(1/5)[/tex]

Using the property of exponentiation, multiply the exponents:

[tex]3^(6/5)[/tex]

Now combine this result with the first radical:

[tex]3\sqrt3 * 3^(6/5)[/tex]

Since ∛3 can be written as [tex]3^(1/3)[/tex],  rewrite the expression as:

[tex]3^(1/3) * 3^(6/5)[/tex]

To multiply two numbers with the same base, add the exponents:

[tex]3^(1/3 + 6/5)[/tex]

To simplify further, we need a common denominator for the fractions:

[tex]3^(5/15 + 18/15)[/tex]

Combining the fractions:

[tex]3^(23/15)[/tex]

Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]

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Related Questions

In a camp, there were 500 solders. 60 more solders joined them. What percent of the earlier (original) number have joined?​

Answers

Answer:

89.2%

Step-by-step explanation:

Original number of soldiers=500

New number of soldiers=500+60=560

% of original number of soldiers=(500/560)x100=89.2%

F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8

Answers

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!

Universal Studios is looking to expand in Ontario. The new theme park will be located equidistant to
Newmarket, N (2,8), Markham, M (7,3) and Vaughan, V (-2, 0). Determine the location of the new
theme park if it is located at the point of intersection of the perpendicular bisectors.

Answers

Answer:  (2, 3)

===============================================

Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

----------------

Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

--------------------

In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

----------------------

At this point, we have the system of equations

[tex]\begin{cases}y = x+1\\y = -3x+9\end{cases}[/tex]

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

i needs help plzzzzzzzz​

Answers

pyramid = 9x8x9

rectangle = 7x8x9

total = (pyramid+ rectangle)

length x wide x hight

38 is the answer I did it on edge

Give the answer correct to one decimal place. [3
(ii)
Calculate the value of 7.2-13) ---


Answer with working steps:

Answers

Step-by-step explanation:

the answer is in the above image

1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).

Answers

Answer:

There is significant statistical evidence to suggest there is a difference between the groups

Step-by-step explanation:

The number of adolescents in the sample that were given a pamphlet, n₁ = 10

The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51

s₁² = 16

The number of adolescents in the sample that were given a video, n₂ = 10

The average score of those given a video, [tex]\bar x_2[/tex] = 46

s₂² = 20

The alpha level of the test, α = 0.05

H₀ = No difference

Hₐ = Difference between the groups

The test statistic for the difference in mean is given as follows;

[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]

Plugging in the values, gives;

[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]

The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18

The critical-t = 2.101

Therefore

Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference

Evaluate the function requested. Write your answer as a fraction in lowest terms. Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 39, adjacent A C is 36, Opposite B C is 15. Find tan A.

Answers

Answer:

tanA = [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]

Find mode.
Mathematics ClassX

Answers

Step-by-step explanation:

my answer is in the image and class width is 3

lcu- lower class boundary

Please solve the following equation. WILL MARK BRAINLIEST AND NO RUBBISH LINKS OR ANSWERS. Thank you!

38x-12y = (6+2n)x + (4-n)y​

Answers

Answer:

38 X -12y= (6+2n)x t(4-7) y

38 X-12y = 6 X +2nx + 4 y -7y

38x - 12 Y = 6x + 2nx -3y

32x -9y = 2nx

nx= 16x -4.5y

Answer:

n=16

Step-by-step explanation:

38=6+2n

2n=32

n=16

OR

-12=4-n

-n=-16

n=16

30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle’s name blank and write CNBD for “Cannot be determined” in place of the rule.

Answers

Step-by-step explanation:

∆COT is congruent with ∆NPA

by rule A.S.S (angles, sides, sides)

Answer:

△COT≅△NPA by SSA

Step-by-step explanation:

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What is the total price of 4 \frac{ 1}{2 }
2
1

pounds of apples this week at the grocery store?

Answers

Answer:

The new price for one pound of apples is $1.44

Step-by-step explanation:

A 10% discount from $1.60 is $0.16, which can be found by multiplying $1.60 by 0.10. To figure out the new price, use the equation: $1.60 - $0.16= $1.44

HELP ASAP< BRAINLIEST IF RIGHT

Answers

Answer:

Option B.

Step-by-step explanation:

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x)

Also, for definition, we usually define:

for K > 1, this is an "stretch" or "dilation"

for 0 < K < 1, this is a "contraction"

Here we have:

f(x) = ∛(x + 4)

We want to find an option that is a vertical stretch from this:

So we want something like:

g(x) = K*∛(x + 4)

With K > 1

Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.

Please please please please help me please

Answers

Answer:

the answer is c 123 m

bcoz perimeter of Pentagon is sum of 5 sides therefore 123/5 x. 5 = 123

Answer:

The third option; 123m

Step-by-step explanation:

The perimeter of a pentagon = 5S

5*123/5

Cancel the 5's

123m

Evaluate 2(x + 1) - 3 when x= 6.
A. 8
B. 5
c. 11
D. 10

Answers

2(x+1) -3
2(6+1) -3
2(7) -3
14 -3
11

ANSWER IS:
C 11

Answer:

11

Step-by-step explanation:

2(x + 1) - 3

Let x= 6

2(6+1) -3

Parentheses first

2(7) -3

Then multiply

14-3

Then subtract

11

Suppose y varies directly with x, and y = 45 when x = 3. What is the value of y when x = -6?

Answers

Answer:

y=-90

Step-by-step explanation:

y = kx

45 = k 3

k = 15

~~~~~~~~~~~~

y = 15*-6

y=-90

Answer:

36

We should write a formula for their relationship:

Y = x+42. <- this is what a direct varieation is I believe.

So, when x is -6, y is +42 aka 36

Find the volume of the solid. Round your answer to the nearest hundredth.

Answers

Answer: 27.6

Step-by-step explanation:

tan 36 = 1/x

x =1/ tan 36 x = 1.38 which is your apothem

area of pentagon = 5x2x1.38/2 = 6.9

now do 6.9 x 4 = 27.6

The volume of the solid is 27.52 cubic yards

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a pentagonal prism

The base length of prism is 2yd

The height of prism is 4 yd

Volume of pentagonal prism V = 1/4 √(5(5+2√5))a²h

a is the base length and h is height

V = 1/4 √(5(5+2√5))4×4

V=27.52

Hence, the volume of the solid is 27.52 cubic yards

To learn more on Three dimensional figure click:

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plzz helpppp.........​

Answers

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

Select how this number is read. 59.300 A. fifty-nine and three hundred thousandths B. fifty-nine and three hundredths C. five hundred ninety-three D. fifty-nine point three zero zero

Answers

Answer:

D

Step-by-step explanation:

D. Fifty-nine point three zero

In decimals, this idea of zeros that don't add value to a number can be extended to trailing zeros. A trailing zero is any zero that appears to the right of both the decimal point and every digit other than zero.

Of the five horses in a race, Alfie finished 3 lengths ahead of Charlie, flo finished 5 lengths ahead of dolly, Alfie finished 4 lengths behind Bobby and dolly finished 4 lengths behind Alfie. What is the finishing position of flo

Answers

Answer:

With the information provided, we have to assume it was Rob, in the order Rob, Henry, Charles, Dale.

However, we don't know if there were other people in the race that were not mentioned, so we can only say he came in first of those four people.

Un león, al ver correr un grupo de venados ¡exclamó!: "Adiós, mis cien venados", a lo cual los venados contestaron: "Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100". Cuántos venados van en el grupo? ( Utilice una ecuación de primer grado)

Answers

Answer:

Hay 56 venados en el grupo.

Step-by-step explanation:

En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:

"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"

[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]

[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]

[tex]\frac{7\cdot x}{4} = 99[/tex]

Donde [tex]x[/tex] es el número de venados.

[tex]x = 56.571[/tex]

Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:

[tex]x = 56[/tex]

Hay 56 venados en el grupo.

Given 1x) = 10-2x, find f(7).

Answers

Step-by-step explanation:

Given that,

f(x) = 10 - 2x

We are asked to calculate the value of f(7).

Substitute the value of x as 7 in the polynomial to find the value of f(7).

→ f(7) = 10 - 2(7)

→ f(7) = 10 - 14

f(7) = -4

Therefore, 4 is the required answer.

If a chair costs 734 dollars and I give it to my friend for 823 dollars how much is my profit as a percentage

Answers

Answer:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

Help on this anyone ?

Answers

Answer:

x = 77

Step-by-step explanation:

x and 103° are same- side interior angles and sum to 180° , then

x + 103 = 180 ( subtract 103 from both sides )

x = 77

What is the equation of the line graphed below? Y +1= -3(x-1)

Answers

Answer:

y=-3x+2

Step-by-step explanation:

distribute and simplify

the perimeter of a circular segment with a central angle of 144 degrees is 30 cm calculate the area of the segment to 2 decimal places​

Answers

Answer:

sorry

i

dont

know

how

to

do

it

Step-by-step explanation:

Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.

Answers

Answer:

12 hours

Step-by-step explanation:

Find 20% of 15 hours

15 * 20%

15 * .2

3

Subtract this because his hours are cut

15-3

12

13 subtracted from a number is at most 10

Answers

Step-by-step explanation:

[tex]13 - x \leqslant 10[/tex]

[tex]3 \leqslant x[/tex]

if 52% = 2600 what would 100% be

Answers

Answer:

5000

Step-by-step explanation:

[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]

The answer is 5000. Got it right on the test

Help y’all

Cross Sections of a Cone: Introduce possible cross sections of a cone. You need to show the shape of the cross section and how you cut the cone to get that shape. Please introduce at least THREE

Answers

i don’t know but, have an amazing day sorry couldn’t answer miss or sir

in circle p, which arc is a major arc?​

Answers

If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB

More

For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C

What is arc in a circle and what are its classifications?

For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.

For this case, there are 5 points, as A, B, C, D, and E.

Since no option is given, so let we take two points which are not on the ends of any diameter.

The points A and B are good enough.

So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.

A demonstration is given in the image attached below.

Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).

Learn more about major and minor arcs here:

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