select all the expressions that are equivalent to 16^5/2

Select All The Expressions That Are Equivalent To 16^5/2

Answers

Answer 1

Answer:

A, C, E

Step-by-step explanation:

[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]

A. 4^5 = 1024   Yes

B. 8^5    No

C. 4^5    Yes

D. [tex] 16^{\frac{2}{5}} [/tex]    No

E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex]   Yes

F. [tex] 16^{\frac{11}{2}} [/tex]   No


Related Questions

5 < -5(3x-7) Solve the inequality.

Answers

Answer:

x<2

Step-by-step explanation:

5<-5(3x-7)

divide by 5

1<-3x+7

3x<7-1

3x<6

x<2

please explain thourougly thanks!

Answers

Answer:

There are 2 x-intercepts

Step-by-step explanation:

The equation has 2 x variables, so the graph would have 2 x -intercepts.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use the discriminant method, we have to find discriminant of the given quadratic function, if discriminant is greater than 0, then it has two intercepts, if it is equal to 0, then it has 1 intercepts and if it is smaller than 0, then it has no x intercepts.

[tex]\qquad \sf  \dashrightarrow \:D = {b}^{2} - 4ac[/tex]

where, a, b and c are coefficients of x², x and constant term. D = discriminant

[tex]\qquad \sf  \dashrightarrow \:D = {( - 30)}^{2} - 4(22 \times 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 4(22 )[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 900 - 88[/tex]

[tex]\qquad \sf  \dashrightarrow \:D = 812[/tex]

Discriminant is greater than 0, hence it has two x - intercepts.

If a trapezoid has bases with lengths of 10 cm and 20 cm, and the height is 12 cm, what is the area
of the trapezoid?

Answers

Answer:

180

((10 + 20/2) * 12 = 180

Step-by-step explanation:

Step-by-step explanation:

Given;

b = 10cm

a = 20cm

h = 12cm

Area of trapezoid = 1/2 *h*(a+b)

                               = 1/2 *12* ( 20+10)

                               = 180cm^2  

How many terms are in the following expression? x2+7x-13

Answers

Answer:

There are 3 terms

Step-by-step explanation:

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?

Answers

Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

Answer Choices (Multiple Choice)-
A. 6240+t<=8000
B. 8000>=6240t
C. 6240+5t<=8000
D. 8000+6240<=5t
E. 8000-6240>=5t

Answers

Answer:

c,e, d

Step-by-step explanation:

c,e,d is the correct to me

Find the area of the shaded region

Answers

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

what are the features of the function f(x) = 2^x -1 graphed below

Answers

I believe it's right two down one

What is the product of -1−1 and-8−8?

Answers

Answer:

32

Step-by-step explanation:

Consider the line 3x+8y= 1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

slope of a line parallel to this line= -3/8

slope of a line perpendicular to this line= 8/3

Step-by-step explanation:

The general equation of a line in terms of a and b is:

y=ax+b  where a=slope

in order to get the slope of the line we have to write its equation as the form shown above:

3x+8y=1

8y= -3x+1

y= (-3/8)x+(1/8)

so slope= -3/8

Parallel lines have equal slopes

⇒ slope of parallel line= -3/8

The slope of the line perpendicular to another line is the opposite reciprocal of the original line's slope. This means that we have to exchange the numerater by the denomenator and multiply the obtained number by a negative sign:

⇒ slope of perpendicular line= -(-8/3) = 8/3

please help me if you can tysm! :))))​

Answers

9.9 is your final answer

Answer:

9.9

Is the answer to the question

Find the volume of the figure below.

Answers

Answer:

a

Step-by-step explanation:

Volume = πr2h

= π×3.52×5

= 61.25π

= 192.42255003237 centimeters3

and

Volume = 7×5×12 = 420 feet3

so,

192.4+420= 612.4 cm^3

Evaluate −30 ÷ −6. ghvfhv

Answers

Answer:

5

Step-by-step explanation:

used a cal

Answer:

5

Step-by-step explanation:

-30 / -6 = 5

-6 * x = -30

(drop the negatives)

30 / 6 = 5

-6 * 5 = -30

Prove: An even times an even is
an even.

Answers

Answer: 4

Step-by-step explanation:

i just guessed and it was right, sorry i don't have a better explanation than that

Santa seated his guests so that X number of people sat at each of Y number of tables. Mrs. Claus placed Y number of people at each table, but she had X number of tables. Compare the number of guests Santa and Mrs. Claus were able to seat. ​

Answers

Answer:

  they are the same

Step-by-step explanation:

The number of guests seated were, in each case, ...

  (guests per table) × (number of tables)

__

For Santa, this product is ...

  X × Y

For Mrs. Claus, this product is ...

  Y × X

The commutative property of multiplication tells you that ...

  XY = YX

The numbers of guests were the same.

The solution set of the system of inequalities below forms a triangle on the coordinate plane. What are the vertices of the triangle?
a.
(0,10), (3,4), (8,14)
c.
(-20,0),(1,0),(8/14)
b.
(0,0), (8,0), (8,14)
d.
(0,10),(3,4),(6,10)

Answers

i think its a but i may be rong if i am just know i tryed my vary best and that i am super sorry

Tell which value of the variable is the solution of the equation.

30 = 6w​

w = 3​, 5​, 6​, 8

Answers

Answer:

w = 5

Step-by-step explanation:

6w/6 = 30/6

= 5

A punch bowl contained 2 liters of soda, 1 liter of orange juice

Answers

The total would be 3 liters

Write a congruence statement for the pair of triangles shown.

Answers

Answer:

Triangle UTS is congruent to Triangle RST.

Step-by-step explanation:

When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!

Please help me with this!

What is the distance between ( − 2 , − 4 ) and ( 5 , 7 ) ? Use the distance formula, d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .

4.24
6.32
10.25
13.03

Answers

Answer:

13.03

Step-by-step explanation:

Suppose ( x₁ , y₁ ) =  ( − 2 , − 4 )  and  (x₂ , y₂ ) = (5 , 7)

In the formula  :  d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]

Just replace x₁ by -2

       replace y₁ by -4

       replace x₂ by 5 

       replace y₂ by 7

We get ,

d = √ [( 5− (-2) )² + ( 7 − (-4) )²]

Then

d = √ [(7 )² + ( 11 )²]

d = √ [49 + 121]

d = √ [170]

  ≈ 13.03


A small movie theater sells children's tickets for $4 each and adult tickets for $10 each for an animated
movie. The theater sells a total of $388 in ticket sales.
(a) If c represents the number of children's (b) Show that c= 52 and a =18 is a solution to
tickets sold and a represents the number of
this equation (not system).
adult tickets sold, write an equation that
models the information shown above.
C) Show that after multiplying both sides of the
equation in (a) by 2, c=52 and a=18 is
still a solution to this equation.
(d) How can you interpret multiplying both sides
of the equation by 2 in letter (a) in terms of
ticket prices and total ticket sales?

Answers

Answer:

b) Show that c= 52 and a =18 is a solution to

tickets sold and a represents the number of

this equation (not system).

Linear equation that models the given equation is 4c + 10a = 388 where c is the number of children ticket sold and a is the number of adult ticket sold. c = 52 and a = 18 is a solution to the linear equation. Multiplying a constant on both sides of the equation won't affect its solutions.

What is linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Let number of children ticket sold be c.

Let number of adult ticket sold be a.

Cost of one children ticket = $4.

Cost of one adult ticket = $10.

Total sales = $388

Linear equation that models the above equation: 4c + 10a = 388

Checking if a = 18 and c = 52 is a solution of the equation. It can be done by substituting the values.

LHS: 4c + 10a = 4*52 + 10*18 = 388

RHS: 388

Hence, c = 52 and a = 18 is a solution to the linear equation.

Multiplying 2 to both sides of the equation:

2(4c + 10a) = 2(388)

8c + 20a = 776

Substituting c = 52 and a = 18.

8(52) + 20(18) = 776

c = 52 and a = 18 is still a solution to the linear equation.

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ2

$9,000 is invested in a stock that loses 3%/yr on average. What is its worth after 6 years? Value:​

Answers

It would be worth $7496.75 after 6 years

I NEED HELP ASAP !!!!!!!

Answers

Answer:

  $42,782.40

Step-by-step explanation:

You want to know how much more Glados paid than Shaq on a 30-year mortgage if their monthly payments were $755.99 and $637.15, respectively.

Added amount

Each month, Glados paid this amount more:

  $755.99 -637.15 = $118.84

Over the 360-month life of the 30-year loan, this excess amount adds up to ...

  360 × $118.84 = $42,782.40

Glados pays $42,782.40 more than Shaq for the same loan amount.

<95141404393>

Betty's bedroom is 18ft
long and 25 ft wide. She
wants to install the
hardwood flooring. The
cost is $6.00 per square
foot. How much is the
total cost for room
flooring?

Answers

Answer:

You'll need to find the area first.

18ft x 25ft= 450ft

Area is 450ft.

Area divided by $6.00 = 75

The total cost is $75 dollar for the whole room flooring.

HELPPPPP LOOK AT PICTURES. I'LL GIVE BRAINLIEST!!!!

Answers

Answer:

[tex](D)\ d(r)=7\times (0,75)^2[/tex]

Step-by-step explanation:

[tex]r=0.75\ \ \ \ \ d_1=7\times 0.75\ \ \ \ \ d_2=0.75d_1=7\times 0.75^2[/tex]

[tex]so\ at\ 1\le r\le 7[/tex]

[tex]d(y)=7x(0,75)^2[/tex]

I hope this helps you

:)

Jeffrey is looking at a map of his town to help him get from his school to the library. If 1 inch is equal to 9 miles, and the distance on the map is 1/4
inch, how far is it to the library?

Answers

Answer:

2.25 miles

Step-by-step explanation:

1/4 of 9 is 2.25

Answer:

2.25 miles away

Step-by-step explanation:

first make 1/4 a percent

second set up a proportion

then solve the proportion and then you get 2.25 and add a label

The radius of a circle can be found by dividing the circumference of the circle by 6. 28 What is the radius of a circle that has a circumference of 17. 27 feet

Answers

Answer:

2.75 feet

Step-by-step explanation:

I did the problem with the given instructions, but it really should be 2.74 feet. Instead of dividing the circumference by 6.28, you should divide the circumference by pi, then by two.

Hope this helps! :)

- Chris deposited $435 in a new account at his bank.
• The bank pays 1.7% interest compounded annually on this account.
• Chris makes no additional deposits or withdrawals.
How much interest will the account have earned at the end of 10 years?

Answers

Answer:

END OF EACH YEAR

-1 442.395

-2 449.91

-3 457.56

-4 465.34

-5 473.25

-6 481.29

-7 489.481

-8 497.80

-9 506.26

-10 514.87

however, how much INTEREST

514.87-435=

79.8

The smith family wants to fence their yard. the yard is 96 meters and 52 meters wide. how much fencing will they need?

Answers

Well, if it is 96 meters long (im guessing thats what you meant) and 52 meters wide, you would need 4,992 meters of fencing

Line A is perpendicular to Line B.
If the slope of Line A is 3
what is the slope of Line B?

Answers

Answer:

- 1/3

Step-by-step explanation:

m = slope of a line

Perpindicular slope = - 1/m

 = - 1/3

Let slope of that line be m

We know product of slopes of two perpendicular line=-1

3m=-1m=-1/3
Other Questions
What is the value of n when 2/3 of n equals 42? a revolution around the sun take longer than a rotation of the earths on its axis true or false ? Proving circles are similar: Choose any of the transformations that would be a step in proving that Circle A is similar to Circle C. Select ALL that apply.A.Reflect A over the line y=xB.Translate C (x+5,y-4)C.Dilate A by 3/2D.Dilate C by 3/2E.Translate A by (x-5, y+4) Why must males inherit colorblindness from their mothers. Vhat objects make up Earth's solar system? Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044. Match each amendment to the right(s) it protects.1.Fourth Amendment2.Sixth Amendment3.First Amendment4.Second AmendmentA.right to bear armsB.rights of people accused of crimesC.freedom of religionD.protection against unreasonable search and seizure Please help The diagram below shows a square prism. The plane ABC is inside theprism, and M is the midpoint of the base diagonal BC. MD. = square root 18b Hence find, correct to the nearest degree, the angle that the plane ABCmakes with the base of the prism. Diagram is attached below. How has Bilbo changed from the beginning of the novel to now? Use quotes from the novel tosupport your writing. State the reason why K = MGiven:KLMN is a parallelogram. What is the formula for calculating pH?O A. pOH= [H*] [OH -]B. pH = -log[OH-]C. pH = -log[H+]D. pH = log[ht] Can someone please help me? My Brainly isn't working correctly and I need help. I can't see the home page... all I can see is in the pic... Please help me!!! Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years If 2.00 grams of zinc are added to an excess of hydrochloric acid,what is the volume, in liters, of hydrogen gas is produced? Question 6 of 10Which two reactions are faster than the others?A. Iron metal reacts with oxygen in air to form rust.B. Black powder in fireworks burns explosively to produce gasesand white lightc. Lead nitrate and potassium iodide react to form a yellowprecipitate.D. Silver tarnishes in air that contains hydrogen sulfide. The Importance of ImaginationEsha ChhabraEXTENDED-RESPONSE ACTIVITY Author's InfluencesDIRECTIONS: Complete the following activity as either a written response or a group discussion.RI.6.6 Determine an author's point of view or purpose in a text and explain how it isconveyed in the text.1. Explain the author's point of view in the text.Determine the author's point of view, or position, in the reflective essay"The Importance of Imagination." What does she think about the importance of imagination in adults?Then, explain how the author develops her point of view in the text. In your response, include theinfluences she discusses as evidence to support your position.Use these guidelines in your writing or discussion. Consider the role of creativity and imagination in the author's own life. What, overall, does the author believe about the importance of imagination in adults? Identify the influences the author mentions as being important in forming her ideas aboutimagination. Describe how the author develops, or builds, her ideas in the text.TIP FOR WRITTEN RESPONSECheck your writing for run-on sentences and fragments.TIP FOR DISCUSSIONThink about the ideas the discussion is about beforehand. Reread the selection in advance if necessary. True or false in addition, people harnesses the power of renewable resources. Such as wind and water What was one purpose of the Great Society programs begun under President Johnson? why doesn't the dead sea and the fresh water sea never mix? Explain with own answers. Please answer. I need it to be right.