Mathematics High School

Select all of the expressions that are equivalent to 16 5/2

Answers

Answer 1

Answer:

Step-by-step explanation:

C and E are corre6

Answer 2

The expressions that are equivalent to 16^(5/2) is 16^(5/2) is 4^(5), √16^(5), 16^(2 + 1/2), 16^(2) 6^(1/2).

What is an exponent?

An exponent is a number or letter written above and to the right of a mathematical expression called the base. The exponent of a number says how many times to use that number in a multiplication.

Now the given expression is,

16^(5/2)

Since 4^2 = 16

Therefore we can write,

16^(5/2) = (4^2)^(5/2)

Using the exponent property,

a^b^(c) = a^(bc)

⇒ (4^2)^(5/2) = 4^{2*(5/2)}

⇒ (4^2)^(5/2) = 4^(5)

Thus,

16^(5/2) = 4^(5)

Now, Using the exponent property,

{a^(b)}^(c) = a^(bc)

Also, 16^(5/2) = 16^{5(1/2)}

⇒ 16^(5/2) = {16^(1/2)}^5

∵ 16^(1/2) = √16

⇒ 16^(5/2) = √16^(5)

Now, Using the exponent property,

a^(b)^(c) = a^{(b)(c)}

Also, 16^(5/2) = 16^(2 + 1/2)

Using the exponent property,

a^(b).a^(c) = a^{(b + c)}

16^(2 + 1/2) = 16^(2) 6^(1/2)

⇒ 16^(5/2) = 16^(2) 6^(1/2)

The expressions that are equivalent to 16^(5/2) is 4^(5), √16^(5), 16^(2 + 1/2), 16^(2) 6^(1/2).

To learn more about exponent:

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Related Questions

The radius of the circle on a basketball court is 6 ft. What are the approximate circumference and area of the circle?

Answers

ANSWER:

Circumference= 37.7

Area= 113.1

Is there an y-intercept? I will mark brainliest

Answers

No it doesn’t cross the y intercept

Fred's high school played 14 football games this year. The team won most of their games. They were defeated during 2 games. How many games did they win?

Answers

Answer:

Step-by-step explanation:

10. Determine if the triangles are congruent.

Answers

It is SAS, side angle side

Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
water does Jason use after watering his garden for 3 minutes?

Answers

Answer:

8.25 Gallons

Step-by-step explanation:

2.75 gallons * 3 minutes = 8.25 gallons

What is the inverse of f(x) = 1x+2?

Answers

For this specific equation the answer is x - 2

Kenny types 280 words. How long did he
type for?
A.4
B. 5
C.6
D. 7

Answers

A. 4

Brainly want 20 words ✋

HEEEEEEEEEEEEEEEEEEEEEEELP 20 POINTS

Answers

What does the answer have to be??

can someone help me please

Answers

9514 1404 393

Answer:

(a) 25°

Step-by-step explanation:

The angle marked 93° is the average of the arcs intercepted by the secant lines.

(161° +AD)/2 = 93°

161° +AD = 186° . . . . . multiply by 2

AD = 25° . . . . . . . . . . .subtract 161°

Round the number 42.763 to 1 decimal place.

What’s the answer

Answers

Answer:

42.763 to the nearest tenth is 42.8

The nearest 1 decimal place for 42.763 is 45.000. I rounded .763 to 1. Then I added 42 and 1 together and got 43. Lastly i turned 43 into 45 because that closer to 43 then 40.

Chicago Avenue is parallel to Ontario Street what is the relationship between angles five and seven?

Answers

Answer:

they are corresponding angles

How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third digit is not 5 or 8

Answers

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

I don’t get this quest can someone help

Answers

Answer:

1.25%w

Step-by-step explanation:

I can't Explain It In Words So ima add an equation. 0.3 divided by 24 =0.0125

0.0125 x 100 = 1.25

1.25 x the number of weeks she works out. (unknown)

Calculate the slope between the points 4, 9 and 5, 1

Answers

Answer:

-8

Step-by-step explanation:

Answer:

9,4 and 1,5

Step-by-step explanation:

there

Find KLM
Pretty sure its 86 but just double checking FOR A FRIEND

Answers

Answer:

Yes im also sure that it is 86 degrees!

Step-by-step explanation:

Hope it helped ✨

The sum of two numbers is 36. The difference of the numbers is 14. What are the numbers? Write your answer as an ordered pair with no
spaces and in this order (smaller number, larger number)

Answers

Answer:

(11,25)

Step-by-step explanation:

36-14 = 22

22/2= 11

11+14 = 25

Answer:

11 and 25

Step-by-step explanation:

The two numbers we'll call x and y. Let's set up equations to model the situation:

x+y=38

x-y=14

Solving the second one for x,

x=y+14

Plug this into the first equation for x and get:

(y+14)+y=36

2y+14=36

2y=36-14

2y=22

y=11

x-y=14

x-11=14

x=14+11

x=25

solve for x write your answer as a proper fraction or as a whole or mixed number

2/5(5x-3)+3/5=4x-1/5

Answers

Answer:

x=-1/5

Step-by-step explanation:

[tex]\frac{2}{5} (5x-3)+\frac{3}{5} =4x-\frac{1}{5}[/tex]

Multiply both sides by 5:

2(5x-3)+3=20x-1

Distribute:

10x-6+3=20x-1

Simplify Like-Terms:

10x-3=20x-1

Add 3 to both sides:

10x=20x+2

Subtract 10x from both sides:

0=10x+2

Subtract 2 from both sides:

10x=-2

Divide by 10:

x=-2/10

x=-1/5

Look at the two circles below. They share a center point. The larger circlehas a radius of 10 inches. The distance between the smaller circle and the larger circle is 2 inches. Which best represents the shaded area between the two circles?

A138 square inches
138 square inches

B36 square inches
36 square inches

C515 square inches
515 square inches

D314 square inches
314 square inches

Answers

B is the answer to the question

Need the steps and answer!

Answers

Answer:

(4,0)

Step-by-step explanation:

add the 2 equations together

6x = 24

x=4

put x into the first equation

16+3y=16

y=0

Find the x- and y-intercepts of the function. please explain help asap please
I meed help this is my second time posting this question

Answers

x intercept: -2
y intercept: 2

Kristen is making accessories for the soccer team. She uses 595.56 inches of fabric on headbands for 39 players and 3 coaches. She also uses 343.59 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

22.99 inches

Step-by-step explanation:

According to problem, given data are as follows:

Fabric used for headband = 595.56 inches

Number of headbands made = 39 + 3 = 42

So, Fabric used per headband = 595.56 ÷ 42 = 14.18 inches per headband

Similarly, Fabric used for wristband = 343.59 inches

Number of wristbands made = 39

So, Fabric used per wristband = 343.59 ÷ 39 = 8.81 inches per wristband

So, Fabric used for each player = 14.18 inches + 8.81 inches

= 22.99 inches

Which expression is equivalent to 4/9(2n – 3)?

Answers

Answer:

8/9n - 1 1/3

Step-by-step explanation:

Pretty easy if u know Spanish- but I don't so help

Answers

Answer:

1- Sandra

2- compañera

3- tarea

4- hacer los

Step-by-step explanation:

i just came up with a conversation about hw between them

no entiendo la pregunta. que necesitas escribir?

por favor, dices mas.

Lol im not very good at spanish either i hope this makes sense

help plz solve these equations by completing the square

x square + 12x =1

Answers

Answer:

x = - 6 ± [tex]\sqrt{37}[/tex]

Step-by-step explanation:

Given

x² + 12x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(6)x + 36 = 1 + 36

(x + 6)² = 37 ( take the square root of both sides )

x + 6 = ± [tex]\sqrt{37}[/tex] ( subtract 6 from both sides )

x = - 6 ± [tex]\sqrt{37}[/tex] ← exact solutions

Tanvi’s town voted on a new speed limit. Of the votes received, 20 were in favor of the new speed limit and 80 were opposed. What percentage of the votes were in favor of the new speed limit?

Answers

it would be 20%

20 + 80 = 100

20 / 100 = 0.2

HELP PLS!!!
What is the correct graph of the equation, y = -2x - 6

Answers

The answer is D
This is because the -6 represents the y-intercept and D is the only one where it passes through -6

Answer:

-6

x+y= 16

y=-x-6

and so the y- is -6

Melanie earns average tips of 18% while waiting tables. If her sales one night were $730.84, what did she make in tips?

Answers

Answer:

131.5512....I think

Step-by-step explanation:

730.84×0.18

6. Determine the line of reflection of the following.

Answers

Answer:

Step-by-step explanation:

Answer:

the correct answer is ×=-3

When a principal amount, P, is invested at an annual interest rate,r, and compounded n times per
year, the amount accumulated in the account after t years can be found with the equation:
A = P(1+ :)"
Javier invested $2,350 in a savings account for 5 years with a rate of 1.75% compounded every six
months. In this situation, what is n?

Answers

Answer:

Step-by-step explanation:

A = P( 1+r/n) ^ (nt)

P is the amount invested

r is the rate

n is the number of times per year the interest is compounded

t is the number of years

every 6 months is twice a year

so n is 2

Answer:

Step-by-step explanation:

10+50+60=500

Simplify the expression
10x-4-7x-3

Answers

Answer:

3 x − 7

Step-by-step explanation:

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