Guys, Can you please help me with these questions

Guys, Can You Please Help Me With These Questions

Answers

Answer 1

Answer:

a) [tex]w^{13} x^{5} y^{6}[/tex]

b) [tex]\frac{x}{3y^{6} }[/tex]

Step-by-step explanation:

a) [tex](w^{2} xy^{3} )^{2}(w^{3}x )^{3}[/tex]

1. Distribute the second power (2) outside the first pair of parenthesis:

[tex](w^{2(2)} x^{2} y^{3(2)} )[/tex]

= [tex]w^{4} x^{2} y^{6} (w^{3}x )^{3}[/tex]

2. Distribute the third power (3) outside the second pair of parenthesis:

[tex](w^{3(3)} x^{3} )[/tex]

= [tex]w^{4} x^{2} y^{6} w^{9} x^{3}[/tex]

3. Combine like terms:

[tex]w^{13} x^{5} y^{6}[/tex]

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

b) [tex]\frac{2x^{2} y^{5} }{6xy^{11} }[/tex]

1. Factor the number 6 (= 2 · 3):

[tex]\frac{2x^{2} y^{5} }{2(3)xy^{11} }[/tex]

2. Cancel the common factor (2):

[tex]\frac{x^{2} y^{5} }{3xy^{11} }[/tex]

3. Cancel out [tex]xy^{5}[/tex] in the numerator an denominator:

[tex]\frac{x}{3y^{6} }[/tex]

hope this helps!


Related Questions

Find the original price given the total amount and tip rate. Total price 307.32 tip rate 20%

Answers

Answer:

  256.10

Step-by-step explanation:

You want the original price given the total amount is 307.32 and the tip rate is 20%.

Tip added

Adding a tip multiplies the original price by (1 +tip rate). We can divide the total amount by this factor to find the original price:

  307.32/(1+0.20) = 256.10

The original price was 256.10.

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Using ratios in right triangles

Answers

Answer:

Your answer should be A) 0.34.

Step-by-step explanation:

Look at the other 3 triangle above and compare it to the below triangle that only has 70°.

One of the triangles is similar to the triangle below that has 70°.

Using the Side Length value we get 3.4/10 = 0.34.

Performance-enhancing drugs affect an individual by which of the following?
A. Decrease an athlete's muscle mass and endurance.
B. Are legal in some sports.
C. Decrease an athlete's performance and energy levels.
D. Give performers an unfair advantage.

Answers

Answer:

Give performance an unfair advantage

There is a new candy on the scene! The Delicious Candy Company
wants you to create the packaging for the launch of this new candy.
On possible shape for the
container is a rectangular prism. This is a
standard shape for boxes. Place in the measurements that you think
would work best for the candy box.

Answers

The measurements that would work for the box is 10cm for the length, 15cm for the width and 5cm for the height.

What are the possible dimensions of the candy box?

The candy box has the shape of a rectangular prism. A rectangular prism is a is a three-dimensional shape with six faces, twelve sides and six verticies.

Volume = length x width x height

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Simplify the expression using the order of operations (12-8)^3-2*7+√36

Answers

Pull terms out from under the radical, assuming positive real numbers.

56

Have a good one :)

I need help on this assignment

Answers

Y.
The function shows one transformation, which is right one.
Original (parent) function would be √ X with the coordinates: (0,0), (1,1), (4,2), and so on. Looking at (1,1), it’s noticed that it’s now (2,1), which shows that the x has been affected due to the transformation of shifting right one unit.

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5 years, and standard deviation of 1.9 years.

If you randomly purchase one item, what is the probability it will last longer than 12 years?

Answers

Answer:

39.74 %

Step-by-step explanation:

12 years - 11.5  = .5 years

.5 / 1.9 = .2631 S.D   above the mean

  From z-score table this corresponds to .6026

          60.26 are BELOW this life span

             39.74 % are above 12 years

If you dont know the answer or get it wrong i will report​

Answers

I can only solve no.2

Step-by-step explanation:

CAB=ABC(ISCOSCELES TRIANGLE)

SO REPRESENT THEM BY X BECAUSE YOU DON'T KNOW THEM

THEIR SUM =180

SO,CAB+ABC+ACB=180

SUBSTITUTE THEIR VALUES

X+X+120=180

2X+120=180

2X=180-120

2X=60

[tex] \frac{2x}{2x} = \frac{60}{2 } [/tex]

cancel

so x is 30 degrees

Trust me

Please help me.. there is a image

Answers

Answer: 2 and 4

Step-by-step explanation: They both have 3 x's

Answer:

Okay the mode means the most repeating number.

So if you write this all out:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4

You can now see that 3 is the most repeating number.

So 3 is the mode.

Step-by-step explanation:

Hope this helps!

From your neighborhood softie :)

Find the surface area of the parallelogram-based prism. Note: the prism has two parallelogram bases and four rectangular sides.

Answers

Answer:

1548 unit^2

Step-by-step explanation:

The area each of the 2 bases

= width * height

=  17 * 12

= 204 unit^2

2 have area 408 unit^2

Area of the lateral rectangles = 2 * 13 * 19 = 494 unit^2

Area of the top and bottom  rectangles = 2 * 17 * 19 = 646 unit^2

Total surface area = 408 + 494 + 646

= 1548 unit^2.

From a height of 256 feet above a lake on a cliff, Mikaela throws a rock out over the lake. The height of
the rock + seconds after Mikaela throws it is represented by the equation H=-16t2 + 32+ + 256. To the nearest tenth
of a second, how long does it take the rock to reach the lake below? (Hint: replace h with 0)

Answers

The time taken by the rock to reach the lake below is 5.123 sec

t= 5.123 sec

What is quadratic equation?

A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex] where a, b are the coefficients, x is the variable, and c is the constant term.

It is given that,

H= [tex]-16t^{2} +32t+256[/tex], which represent the height of the rock

Also, we have given that the height of the cliff is 256 feet.

Now to find the time taken by the rock, take H=0

[tex]-16t^{2} +32t+256[/tex]=0

[tex]-16(t^{2} -2t-16) = 0[/tex]

[tex]t^{2} -2t-16 = 0[/tex]

Solve the above quadratic equation using Discriminant Method

[tex]t= \frac{-(b)\pm\sqrt{(b)^{2}- 4 *a*c } )}{2*a}[/tex]

From above equation, a=1, b=-2, c=-16

So,

[tex]t= \frac{-(-2)\pm\sqrt{(-2)^{2}- 4 *1*(-16) } )}{2*1}[/tex]

[tex]t= \frac{2\pm\sqrt{(4+64 } )}{2}[/tex]

[tex]t= \frac{2\pm\sqrt{(68 } )}{2}[/tex]

There will be two value one with positive [tex]t= -2+\sqrt{(68 } )[/tex] and another with negative [tex]t= -2-\sqrt{(68 } )[/tex]

We will neglect negative value because time can't be negative.

[tex]t= \frac{2+\sqrt{(68 } )}{2}[/tex]

[tex]t= \frac{2+8.246}{2}[/tex]

[tex]t= \frac{10.246}{2}[/tex]

t= 5.123 sec

The time taken by the rock to reach the lake below is t= 5.123 sec

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Which of the following is a valid conclusion ?

Answers

Answer:

interferances of the blood preser

Step-by-step explanation:

The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :

x=-3.5sin(π/2t+(5π)/4)

Find
a. maximum kinetic energy
b. maximum potential energy
c. maximum mechanical energy

Answers

To solve this problem, we have to write out the simple harmonic motion equation and then use the respective formula to solve. The maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.

Simple Harmonic Motion

The given equation of the simple harmonic motion is

[tex]x = 3.5sin(\frac{\pi}{2t} + \frac{5\pi}{4})\\[/tex]

Data;

ω = π/2k = 1.254N/m

Solving this

[tex]\frac{dx}{dt} = \theta = -3.5 * \frac{\pi}{2} cos (\frac{\pi }{2}t + \frac{5\pi}{4})\\[/tex]

Let's calculate the maximum velocity.

[tex]V_m = \frac{3.5\pi}{2}[/tex]

This is only possible when cos θ = -1

The maximum kinetic energy is

[tex]K_m = \frac{1}{2}mv_m^2 = \frac{1}{2}* \frac{500}{1000} * (\frac{7\pi}{4} )^2\\K_m = 7.56J[/tex]

The maximum kinetic energy is 7.56J

The maximum potential energy can be calculated as

[tex]\omega^2 = \frac{k}{m} \\k = \omega^2 m \\k = \frac{\pi^2}{4} * \frac{500}{1000}\\ k= 1.254 N/m[/tex]

Using the value of spring constant, we can find the maximum potential energy

[tex]P.E = \frac{1}{2}kx^2\\P.E = \frac{1}{2} * 1.234 * 3.5^2\\P.E = 7.56J[/tex]

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

[tex]ME = P.E + K.E\\ME = 7.56J[/tex]

The reason ME is equal to 7.56J is because when x is at maximum, v = 0 and makes kinetic energy equal to zero.

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.

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What is the least two common multiplication 2 and 5

Answers

LCM of 2 and 5 =10
The LCM of 2 and 5 is the smallest positive integer 10 that is divisible by both 2 and 5 without any remainder.

Find the slope pls help giving brainlest

Answers

Answer:

(3,-9)

Step-by-step explanation:

Please give brainliest please and good luck :)

What is the volume of a circular cake pan that measures 8 inches across and 2 inches high?

Answers

A circular cake pan that measures 8 inches across and 2 inches high. thus, the volume of a circular cake pan is 100.84 cubic inches.

What is the volume of the circular shape?

The volume of the circular shape can be calculated as the product of the area and the height.

Given; a circular cake pan that measures 8 inches across and 2 inches high.

The radius will be 4.

The area of the circle = [tex]\pi r^{2}[/tex]

[tex]\pi \times 4^2\\\\3.14\times 16\\\\50.24[/tex]

The volume of a circular cake pan = area x height

                                                     [tex]50.24 \times 2\\ \\100.48[/tex]

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A train travels at a speed of 140km per hour. How many kilometers does it travel in:

a)1 hours b)2 hours c)3 hours d)20 minutes

Answers

Answer:

140kilo in 1hr and 280kilo in 2hr and 420kilo in 3hr and 28kilo in 20 min.

find the area figure below​

Answers

Answer:

Area = 1

Step-by-step explanation:

I;ve attached my work below

Hope it helps, Let me know if you have any questions/concerns !

Have a nice rest of your day :)

Find the measures of all of the angles.

1. ∠ABC =
2. ∠BCA =
3. ∠CAB =

Answers

1 is 15
2 is 20
3 is 30

This are the measures of t he angles okay do this si said did use did si is the answer

Hi i need help with this math question

Answers

Answer: 40x

Step-by-step explanation: addion multiplcation and divion

Answer:

x = 6

Step-by-step explanation:

We note that the graph crosses the x- axis at the point (6 , 0)

Thus , g(6) = 0.

what is 12 is 15 % of what?

Answers

Answer:

15% of eighty is equal to twelve

Consider the equation One-fourth(x – 5) = (y – 2)2. What is the equation of the directrix?

Answers

Considering the parabolic equation, the equation for the directrix is given by x = 4.9375.

What is the equation of a parabola given it’s vertex?

The equation of a horizontal quadratic function, of vertex (h,k), is given by:

(y - k)^2 = 4p(x - h)

The directrix is given by:

x = h - p.

In this problem, the equation is given by:

(y - 2)² = 0.25(x - 5).

Hence h = 5, p = 0.25/4 = 0.0625, hence the directrix is:

x = h - p = 5 - 0.0625 = 4.9375.

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What is x if the volume of
the box is 70 in^3 ?

Answers

Answer:

12.25.

Step-by-step explanation:

1) the formula of the volume given in the condition is:

V=2*2/7*10x.

2) If V=70, then

2*2/7*10x=70, where x=12.25.

Answer:

(10x)(7/4)(2)=70

=10x=70/7/4/2

=10x=20

x=2

Answer: 2

Step-by-step explanation:

Below is a the data set for the amount of time spent on FaceTime. Calculate the mean, median, mode, and range. Be sure to show your work!

Sunday 65, Monday 250, Tuesday 75, Wednesday m 65, Thursday 45, Friday 77, Saturday 80.

Mean:

Median:

Mode:

Range:

Answers

Answer: Mean - 93.8571428571, round however you need to

Median - 75

Mode - 65

Range - 205

Step-by-step explanation: Order the numbers first. 45,65,65,75,77,80,250.

Find the mean. 45 + 65 + 65 + 75 + 77 + 80 + 250 is 657. Divide by 7 is 93.8571428571.

Median is middle. It is 75.

Mode is the most common. - 65

Range is the highest subtracted by the lowest. 250 - 45 is 205.

|x|=x^2+x-15 solve the absolute value equation

Answers

Answer:

[tex]x=\sqrt{15,} -5[/tex]

Step-by-step explanation:

What is the solution to this system of linear equations?
X - 3y = -2
X + 3y = 16
A. (7, 3)
B. (3, 7)
C. (-2, -3)
D. (-3, -2)

Answers

Answer:

x=7 and y=3

Step-by-step explanation:

Step: Solve x−3y=−2 for x:

x−3y=−2

x−3y+3y=−2+3y(Add 3y to both sides)

x=3y−2

Step: Substitute3y−2for x in x+3y=16:

x+3y=16

3y−2+3y=16

6y−2=16(Simplify both sides of the equation)

6y−2+2=16+2(Add 2 to both sides)

6y=18

6y

6

=

18

6

(Divide both sides by 6)

y=3

Step: Substitute3foryinx=3y−2:

x=3y−2

x=(3)(3)−2

x=7(Simplify both sides of the equation)

Answer:

x=7 and y=3

Answer:

Step-by-step explanation:

2x = 14

x = 7

7 + 3y = 16

3y = 9

y = 3

(7, 3)

answer is A

The first term in a sequence is 72. The pattern follows the rule add 31. What are the next four terms?

Answers

Answer: 103, 134, 165, 196

Step-by-step explanation:

Second term: 72+31 = 103

Third term: 103+31 = 134

Fourth term: 134+31 = 165

Fifth term: 165+31 = 196

48 IS WHAT % OF 90
I forgot how to do this can anyone help

Answers

Answer:

tobe specific, it is 53.33%, but if you want just a whole #, it is 53%

Answer:

53.33%

Step-by-step explanation:

or 53% if rounded to the nearest whole

Which expression is equivalent to the given expression? Assume the denominator does not equal zero

Answers

Answer:

Step-by-step explanation:

This question is based on the of expression. Therefore, the correct option is (A) that is, .

Given:

Expression :

We have to determined the expression is equivalent to the given expression.

According to the question,

It is given, to be assume that denominator does not equal zero.

Now by given expression, i.e.

Now, divide denominator by numerator we get,

Therefore, the correct option is (A) that is,

In a 30-60-90 triangle the long leg is half the hypotenuse.

Answers

And because we know that we cut the base of the equilateral triangle in half, we can see that the side opposite the 30° angle (the shortest side) of each of our 30-60-90 triangles is exactly half the length of the hypotenuse.
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