Please help me with these questions. Thank you.

Please Help Me With These Questions. Thank You.

Answers

Answer 1

Answer:

36 x⁸y⁶

 √2/2

Step-by-step explanation:

Factor 1296 into its prime factors

           1296 = 24 • 34 

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

           1296 = 24 • 34 

No factors remain inside the root !!

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

           36 = 22 • 32 

At the end of this step the partly simplified SQRT looks like this:

         36 √(x¹⁶y¹²)

STEP2:Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

   (1) variables with no exponent stay inside the radical

(2) variables raised to power 1 or (-1) stay inside the radical

   (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

      √(x⁸)=x⁴

     √(x^-6)=x^-3

 

 Applying these rules to our case we find out that

      SQRT(x¹⁶y¹²) = x⁸y⁶

Combine both simplifications

      sqrt (1296x¹⁶y¹²) =  36 x⁸y⁶

Simplified Root : 36 x⁸y⁶ 

number 2)

3√2/3√4=

=3√2/3×2

=3√2/6

=3√2/6 ×3/3

=1√2/2

=√2/2


Related Questions

PLEASE ANSWER NUMBER 32!!!

Answers

Answer:

N < -3

Step-by-step explanation:

first off, simply, then subtract the 9s from both sides.

5n < -6 -9

Simplify -6 -9 to -15 , Which gives you

5n < -15

then, divide both sides by 5.

n < 15/5

Simplify 15/5 to 3, Which give you

N < -3

here is your answer.

N < -3

what is this please hurry it's a limited time test i'm counting on you guys

Answers

Answer:

see below-

Step-by-step explanation:

1st one- congruent

boxes- m1 and m2 , m2 and m3

2nd line- supplementary

m1 and m3

Find the smallest number. 8.9, 9.21, 9.73, 8.2

Answers

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.

Solve four and two fifths plus two and two thirds. (4 points)


six and one fifteenth

six and three fifteenths

seven and thirteen fifteenths

seven and one fifteenth

Answers

Seven one fifteenth

4 2/5 + 2 2/3 = 106/15 = 7 1/15

Answer:

7 1/15 ( mixed number )

Step-by-step explanation:

First, add...

4 + 2 = 6

Then as you can see you can't add when both denominators are not the same so multiply 5 and 3 and you get 15

Then do...

2/5 x 3/3 = 6/15

And...

2/3 x 5/5 = 10/15

Then add...

6/15 + 10/15 = 16/15

But this number is an improper fraction so the mixed number for it is...

1 1/15 + 6 = 7 1/15

So this gives us the final answer of 7 1/15 ( mixed number )

Pls, mark me the brainliest!!!!!!

88+36 is the same as ? + 34

Answers

Answer:

The answer would be 90.

Step-by-step explanation:

There are two ways to solve this problem.
Option 1:  See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)

Hey there!


88 + 36 VS ? + 34

88 + 36 VS x + 34

88 + 36 = x + 34

124 = x + 34

NEW EQUATION:

124 = x + 34

x + 34 = 124

SUBTRACT 34 to BOTH SIDES

x + 34 - 34 = 124 - 34

SIMPLIFY IT!
x = 124 - 34

x = 90


Therefore, the mystery number/answer is: 90


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.

How many unique random numbers need to be selected from the table of random digits?

3
400
800
1,200

Answers

The number of unique random numbers that need to be selected from the table of random digits will be A. 3.

What is a random number?

It should be noted that a random number simply means a number that occurs when it is impossible to predict it.

From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.

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an investment made in the stock market decreased at a rate of 1.2% per year for 25 years. what is the current value of the 100,000 dollar investment?

Answers

Answer:

73947.52

Step-by-step explanation:

the equation would be 100000 * (0.988)^25

since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.

can someone please help me solve these questions i need them for school

Answers

ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.

What are Perpendicular lines?

A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.

Lines EG and FG  are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD

Lines JK ≅ HL because they are both created by parallel lines JL and HI.

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The weekly incomes follow the normal probability distribution, with a mean of $1,000 and standard deviation of $100. What is the area under this normal curve (probability) between $840 and $1,200?

Answers

Answer:

0.922

Step-by-step explanation:

→ State the distribution

X ~ N ( 1000 , 100² )

→ State the required probability

p ( 840 < x < 1200)

→ Enter upper bound as 1200 and lower as 840 on the normal cumulative distribution

0.922

The students in Mr. Tate's art class painted landscapes showing the different seasons of the year. There were 7 paintings of winter, 5 paintings of spring, 8 paintings of summer, and 5 paintings of autumn.

What percent of the paintings were of summer?

Answers

Step-by-step explanation:

7+5+8+5=25 All the paintings

paintings of summer:8

8 of 25

25×4=100

8×4=32

paintings of summer:32%

please help meeee, will mark brainliest!!!

Answers

Answer:

see below

Step-by-step explanation:

If it decreases at  10.5 % per year then 89.5 % remains

Value =      y =  35 300 ( .895)^x

value when x = 5.5      y =  $ 19177.92

can someone help me ​

Answers

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

Answer = 49
Explanation: Combine all like-terms.

3s + 33 = 180

180 - 33 = 147

147/3 = 49

If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)?

Answers

Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.

How to find the domain of our function?

Here we have the function:

[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]

Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.

Is not the case of the square root, where the argument must only be positive.

With that in mind, we conclude that the domain is the set of all real numbers.

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Answer: C

Step-by-step explanation:

Edge 2023

Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25. which equation and solution
represents p, the number of pounds of strawberries ms. diaz buys?

Answers

Answer:

21.25=4.25p

Step-by-step explanation:

Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her

strawberries. one pound of strawberries costs $4.25.

1/5

The equation to represent the situation is 4.25p=21.25.

Ms. Diaz buys 5 pounds of strawberries.

What is equation?

A mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Mr. Diaz pays for strawberries = $21.25

price for one pounds = $4.25

Then,

Number of pounds * cost  = Total cost for strawberries.

p * 4.25 = 21.25

p = 21.25 / 4.25

p = 5

Hence, the equation that can represent 4.25p=21.25

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Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.

Answers

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.

360,000 is 40% of what number?

Answers

Answer:

900000

Step-by-step explanation:

the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.

A pattern has 4 blue triangles to every 310 yellow triangles. What is the ratio of yellow triangles to all triangles?

Answers

Answer:

blue to all triangles ratio: 1 : 78.5

Step-by-step

so first the total amount of triangles is 4 blue triangles to 314 total triangle or 4/314

you could just leave it like that or simplify it by dividing both sides by four getting 1 : 78.5

A cellular company offers a price of $16 for 200 minutes. Find the unit rate in cost per minute (Round to 2 decimal places) I WILL MARK AS BRAINLIEST

Answers

Price=$16Time=200min

Unit rate

Price/Time8/1000.08$/min

Answer:

$0.08 per minute

Step-by-step explanation:

Unit rate :

Total Price / Total Minutes$16 / 200 minutes$0.08 per minute

Need the answer for the following question...
[tex] \sqrt{155} \times \sqrt{155} [/tex]
If u get it right... u get... pts!!...​

Answers

Answer:

155

Step-by-step explanation:

Solution

[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.

E.g. [tex]\sqrt{x} ^2[/tex] would get us x as the answer.

Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].

Another way:

Let's take the number 16 as an example.The square root of 16 is four, so we can put it as: [tex]\sqrt{16} * \sqrt{16} =16[/tex], or [tex]4*4=16[/tex].This same method applies to the problem, so again, we can say the answer is 155.

Answer:

155.

Step-by-step explanation:

By the definition of a square root the answer is 155.


7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
14. [tex]h(x)=\int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4}+1} d z[/tex]

Answers

[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]

21 ice cream cones are sold at $4.02 each.

What is the total cost of these items?

Answers

Answer:

$84.42

Step-by-step explanation:

$4.02 x 21= $84.42

I hope this helps!!!

Answer:

YOU DO 4.02x21=84.42

Step-by-step explanation:

please help with question

Answers

Answer:

  65.8

Step-by-step explanation:

The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.

__

The relation is ...

  a/sin(A) = b/sin(B)

Solving for 'a' gives ...

  a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)

  a ≈ 65.8

h(t)=−(t−7)²+4

Write the smaller t first, and the larger t second.

smaller t=?

larger t=?


2) What is the vertex of the parabola?

(?,?)

Answers

Answer:

1.  smaller value of t = 5

   larger value of t = 9

2.  (7, 4)

Step-by-step explanation:

Given function:  [tex]h(t)=-(t-7)^2+4[/tex]

To find the zeros, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Therefore, the vertex of the given function is (7, 4)

PLEASE HELPPP i have no clue what to do

Answers

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

Triangle ABC is shown below. Using a compass and straightedge, construct the dilation of ABC centered at B with a scale factor of 2.

Answers

Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

What is scale factor?

A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.

In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.

In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

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a drawing of a room has a scale of 1 inch = 4 feet. if the actual dimensions of the room are 14 feet by 16 feet. what are the dimesnsions of the room o on the drawing

Answers

Answer:

3.5 inches by 4 inches

Step-by-step explanation:

The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?

Answers

Answer:

A. Horizontal Stretch and vertical shift down 4

Step-by-step explanation:

When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.

2 is greater than 1 so its a horizontal stretch.

When there is a number outside of the () then that number determines how high or how low you go depending on the sign.

Our number is -4 so we go down 4.

A cylinder has a height of 18 feet and a radius of 19 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.

Answers

Answer:

20403.72

Step-by-step explanation:

Height = h = 18 m

Radius = r = 19 m

Volume of cylinder:

[tex]=\pi r^2h[/tex]

[tex]=(3.14)(19)^2(18)[/tex]

[tex]=(3.14)(361)(18)[/tex]

[tex]=20403.72[/tex] [tex]m^3[/tex]

_____________________

Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) four-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)

Answers

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

Volume of composite object

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

For the outer sphere:

V = 4/3π(20)³

For the inner sphere:

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

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Answer:

D

Step-by-step explanation:

HURRY ITS DUE TODAY!!!

A living room measures 24 feet long and 14 feet wide. A scale drawing is made using a scale factor of 118.

What is the length of the living room in the scale drawing?

Drag and drop a number to correctly complete the statement.

The length of the living room in the scale drawing is Response area ft.

options: 7/9, 4/3, 19/9.

Answers

Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?

[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]

Hence, the length of the living room in the scale drawing is of 4/3 ft.

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Answer:

The guy above is right its 4/3

Step-by-step explanation:

Hope this helped!!!

Please correct me if i'm wrong! :D

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