Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.​

Determine Whether Each Equation Is True Or False. In Case You Find A "False" Equation, Explain Why Is

Answers

Answer 1

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]

[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]

Thus, the equation is TRUE.

(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]

[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]

Thus, the equation is FALSE.

(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]

[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]

Thus, the equation is FALSE.

(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]

[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]

Thus, the equation is TRUE.

(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]

[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]

Thus, the equation is FALSE.


Related Questions

Been stuck on this for hours, it's the Law of Sines. 25 POINTS!!

Answers

Answer:

Step-by-step explanation:

(Sin27) / 11 = (sin x) / 15

cross multiply

15 sin27 = 11 sin x

keep in calculator as you divide 15sin27 by 11.

sin x = .6190779542

do sin ^ -1 (.6190779542) (It’s a key on the calculator.)

x = 38.25*

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

According to the equation you are give, ...

  sin(x)/15 = sin(27°)/11

Multiplying by 15 gives you ...

  sin(x) = 15·sin(27°)/11 ≈ 0.619078

The inverse sine function is used to find the angle x. It may show as sin⁻¹ on your calculator.

  x = arcsin(0.619078)

  x ≈ 38.2°

_____

Additional comment

x is shown in the figure as an acute angle, so that is the value we have chosen. The other angle that has sin(x) = 0.619078 is the supplement of this, or 141.8°. The two solutions are shown in the 2nd and 3rd attachments.

Can somebody plz answer this math problem correctly thanks!

WILL MARK BRAINLIEST :D

Answers

Answer:

Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake

Stephen scored a .84 or an 84%

I hope this helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

Stephen: 21

Ellen: 20

Blake: 20

Step-by-step explanation:

If youre looking for more in depth answers:

Stephen received a 21 / 25 (84%)

Ellen received a 20 / 25 (80%)

Black received a 20 / 25 (80%)

You are working alone and your shift is due to be over at 6 PM. The individual who is scheduled
to begin working at 6 PM does not show up. What do you do?

Answers

stay because you getting more hours

A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?

Answers

Asgeblaoaoahavsanalao

Simplify (3x – 5) + (5x + 1).

Answers

Answer:

(-2x - 6)

Step-by-step explanation:

The given expression is ( 3x - 5 ) - ( 5x + 1 )

We have to simplify the given expression

First we will open the bracket having negative notation outside.

( 3x - 5 ) - 5x - 1

3x - 5 - 5x - 1

Now we will collect the similar terms together.

3x - 5x - 5 -1

-2x - 6

So the simplified form of the expression is (-2x - 6)

Answer:

8x - 4

Step-by-step explanation:

queifnsldnalbdejsjsbsjas

Pls can any one help me with question two pls
Someone kind answered question one for me soo can u pls answer question two for me plssss

Answers

Answer:

b is the correct answer

David earns a 4% commission for all the furniture he sells. If David sales were 187500 what was the dollar amount of his commission?

Answers

Answer:195000

Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales

Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?

Answers

Answer:

See Below

Step-by-step explanation:

Total no of students = 24

No of boys = 10

So, no of girls = 24 - 10 = 14

Ratio of boys to girls = 10/14 = 5/7 = 5 : 7

So the ratio of boys to girls should be 5 : 7 and not 5 : 12

A color printer prints 29 pages in 12 minutes.
How many minutes does it take per page?

Answers

Answer:

b b

Step-by-step explanation:v gv g

ok so 29 pages in 12 minutes

divide 29 by 12

29/12= 2.4 pages a minute

but for a single page divide it by 60 (60 seconds in a minute)

2.4/60= .04 pages a second

now we divide 1 page by it

the answer is 25 seconds a page

I need some help with MORE math if you could answer that would be great.

Answers

Answer:

bbbbbb

Step-by-step explanation:

:)

Answer:

D. [tex]\frac{81}{m^{7}}[/tex]

Step-by-step explanation:

[tex](3m^{-4})^{3}(3m^{5})[/tex]

[tex]\frac{81m^{5}}{m^{12}}[/tex]

[tex]\frac{81}{m^{7}}[/tex]

Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr. Rachal used 236. How many more experiments do they do with the tool? How many tools are left?

Answers

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = [tex]\frac{386}{6}[/tex]

                                               = 64[tex]\frac{1}{3}[/tex]

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = [tex]\frac{236}{8}[/tex]

                                                = 29[tex]\frac{1}{2}[/tex]

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64[tex]\frac{1}{3}[/tex])

                                 = 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29[tex]\frac{1}{2}[/tex])

                                  = 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

                                                            = 178

Number of tools left after Dr Rachal's experiments = 564 - 236

                                                            = 328

You are give 3 sticks .Make 4 out of them without breaking...how will do this?​

Answers

Answer:

take the sticks and make the number 4 out of them

Step-by-step explanation:

Ay can anybody please help me with this question !

Answers

Answer: a = 45°

Step-by-step explanation:

The measure of∠PSR is given: 90°

Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.  

The total of all angles in a triangle is 180. So subtract 90, then divide by 2.

180-90 = 90

90/2 = 45

a = 45°

If "b" is supposed to be the measure of ∠SRQ, that is 15°  The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15

Help!!! Which graph represents the system of inequalities

Answers

Answer:

A

Step-by-step explanation:

This can be seen becuase if y is greater it will be shaded above the line. If y is less than then it will be shaded under the liner.

Answer:

A

Step-by-step explanation:

Select all the correct systems of equations.
Which systems of equations have infinite solutions?

Answers

Answer:

y = 14 - 2x

6x + 3y = 42

2x + y = 17

-6x = 3y - 51

Step-by-step explanation:

The following system of linear equations have infinite solutions:

y = 14 - 2x

6x + 3y = 42

2x + y = 17

-6x = 3y - 51

Please help! 2nd time asking!

Answers

Answer:

4

Step-by-step explanation:

Function 1 is moving at a constant rate meaning it has the rate of change of 0/1 or 0.

Function 2 says y is 4x meaning that the rate of change is 4/1 or 4.

0 - 4= I-4I or 4

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Answers

Answer: C :>

Step-by-step explanation:

Answer:

the answer is number 3

need a quick answer please

Answers

Answer:

5

Step-by-step explanation:

The answer would be 62 if it requires another 32 and explanation
Bababoey

Helpppppppppppppphxhxhxhxhx

Answers

Answer:

C  [tex]\frac{48}{70}[/tex]

Step-by-step explanation:

Option C - [tex]\frac{48}{70}[/tex] is incorrect because when multiplying the numerator and denominator of the fraction [tex]\frac{7}{10}[/tex] by 7, you’re suppose to get [tex]\frac{49}{70}[/tex].

Brainliest to correct answer

Answers

Answer:

No, zack will finish first.

Step-by-step explanation:

I would rather not write it out but zack should finish first

What is a good reasoner this help plz.

SO I copied an answer for my school and I accidentally copied "hope this helped" and she is wondering why I put that... PLZ HELP :/

Answers

Answer: I pushed the wrong button on my computer I apologize.

Step-by-step explanation: That's the best I got.

Answer:

say that you meant to say "hope this is correct" but accidentally put that

Step-by-step explanation:

Which matrix represents the total expected?
O A.
[20
24
20
8
2201
264
220
88
B.
200
240
200
80
E.
[240]
288
240
96
C.
(210)
250
210
90

Answers

Answer: the answer is B

Step-by-step explanation:

You add the A,B,C numbers together for the soda for example,

Cola: 70(A) + 30(B) + 100(C) = 200

Now you just continue that for the other sodas hope this helps :)

resolve into factors (4a+b)(4a-b)​

Answers

Answer : [tex]16^a - b^2[/tex]

[tex](4a + b) (4a - b )[/tex]

[tex]= (4a + b) (4a - b )[/tex]

[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]

[tex]= 16^a - 4ab + 4ab - b^2[/tex]

[tex]= 16^a - b^2[/tex]

The answer would be 16^a-b^2

Find the perimeter of the triangle.​

Answers

Answer:

39

Step-by-step explanation:

Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:

21 - x = 2x -3

add 3 to both sides

24 - x = 2x

add x to both sides

24 = 3x

divide by 3

8 = x

Now input 7 into the equations:

21 - x = 21 - 8 = 13

2(8) - 3 = 16 - 3 = 13

x + 5 = 8 + 5 = 13

Now add: 13 + 13 + 13 = 26 + 13 = 39

Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway

So just a simple: 13(3) = 39

Are these good notes on math?
Quarter 2 Lesson 4: Scientific Notation

All Vocabulary words learned in 2020
A base is the number being used as a factor in an exponential expression.
An exponent is the number that shows how many times a base is used as a factor.
An equation is a statement that tells you two expressions are equivalent.
A cube root is any number that is multiplied together three times to get the original number.
A perfect cube is the product of an integer multiplied together three times.
A repeating decimal is a decimal that never ends but instead repeats the same digit or group of digits over and over.
A terminating decimal is a decimal that ends, or terminates.
An irrational number is a number that cannot be expressed as the quotient of two integers. The decimal never terminates or repeats.
A rational number is a number that can be expressed as the quotient of two integers.
A power of ten is a number that can be written as a product of tens.
Scientific Notation is a way to express a number as the product of a number greater than or equal to 1 but less than 10 and a power of ten.
A function is a relationship between an independent variable,x, and a dependent variable,y, where each value of x (imput) has one and only one value of y (output)

Answers

Answer:

yes

Step-by-step explanation:

it sounds good to me

Need help ASAP !!!!!!!!

Answers

Answer:

b 1 1/7

Step-by-step explanation:

pretty sure its B 1 1/7

Answer is B
1 1/7 hope it helps

please help timed
Match the reasons with the statements.

GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms

2. x2 + 8x + 12 = 0 Distributive Postulate

3. (x + 6)(x + 2) = 0 Zero product postulate

4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality

5. x = -6 or x = -2 Given

Answers

Answer:

Step-by-step explanation:

Start by combining like terms like 2x, 2x, and 6x to get 10x + 12= 0. thats  a start

angle a= 6x-5 degrees angle b=4x+45 degrees

Answers

Answer:

180

Step-by-step explanation:

Answer: the correct answer is 125°

Step-by-step explanation: i just had to get it wrong so i could get it right

i will mark you as brianilest The school band sold T-shirts to raise money for an upcoming trip. The band sold 400 T-shirts on Saturday and on Sunday, it will sell 30 percent of that amount. Which statements are true about the number of T-shirts that the band will sell on Sunday? check that all apply A. the answer will be less than 400 because 30 is less than 100 B. The answer will be greater than 400 because 300 percent is greater than 100 C. (100)(4)=400 so 30 (4) is the number of T-shirts the band will sell on Sunday. D. The band will sell 430 T-shirts on Sunday or E. The band will sell 120 T-shirts on Sunday.

Answers

Answer:

A and E

Step-by-step explanation:

A is correct because if you have less than 100 percent of something then the value will be less than the original value.

E is correct because 30 percent of 400 is 120 so the band will sell 120 t-shirts on Sunday.

The drama club at NAMS sells hot chocolate and coffee at the high school football games. At the last game, they had sales of $200. They need to keep track of how many of each type drink was sold so that they can make predictions for future sales. Monica knows that they used 275 cups that night. If the hot chocolate sells for 75 cents and coffee sells for 50 cents, how much of each type of drink were sold?

Answers

Answer:

Coffee = 25

Hot Chocolate = 250

Step-by-step explanation:

Coffee: c

Hot Chocolate: h

0.75h + 0.50c = 200

h + c = 275

h + c = 275

h = 275 - c

0.75h + 0.50c = 200

0.75(275 - c) + 0.5c = 200

206.25 - 0.75c + 0.5c = 200

-0.25c = -6.25

-0.25c/-0.25 = -6.25/-0.25

c = 25

0.75h + 0.5(25) = 200

0.75h + 12.5 = 200

0.75h = 200 - 12.5

0.75h = 187.5

0.75h/0.75 = 187.5

h = 250

Check: c = 25; h = 250

0.75h + 0.50c = 200

h + c = 275

0.75(250) + 0.5(25) = 200

187.5 + 12.5 = 200

200 = 200

h + c = 275

250 + 25 = 275

275 = 275

The drama club sold 250 hot chocolates and 25 coffee drinks.

Equation

Equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of hot chocolate and y represent the number of coffee. From the question the equation are:

x + y = 275   (1)0.75x + 0.5y = 200 (2)

From both equations:

x = 250, y = 25

The drama club sold 250 hot chocolates and 25 coffee drinks.

Find out more on Equation at: https://brainly.com/question/13763238

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