MATHEMATICS HIGH SCHOOL

Which pair of radicals is a pair of like radicals?
(See image) thanks!

Answers

Answer 1

Answer:

The pair of radicals that is a like pair is $7√(3)$ and $9 √(3)$

Option C is correct

For two radicals to be similar, they must contain the same number in the root operator.

Two like radicals are in the form:

$a√(b)$ and $c √(b)$

Since $a√(b)$ and $c √(b)$ are like terms, arithmetic operations such as addition, subtraction, multiplication, and division can be carried out on them

Considering the options given, only $7√(3)$ and $9 √(3)$ are in the form $a√(b)$ and $c √(b)$ because they have equal value inside the root operator.

Therefore, the pair of radicals that is a like pair is $7√(3)$ and $9 √(3)$

Learn more here: brainly.com/question/3253643

Answer 2

Answer:

Answer:

I just finished taking this test and I just wanted to confirm for all you humans out there, that FencingParry4 is correct! (yay! wooo! celebra-ate!) the answer is indeed 7√3 and 9√3 Great job fencing!

Step-by-step explanation:

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If 48 is added to one-third of a number, the triple of the number is the result. What is the number?

Answers

Until we know what it is, let's call the number ' M ', for 'Mystery number'.

      The number . . . . M
   The triple of the number . . . 3M
   One third of the number . . . . M/3
48 added to one third of the number. . . . M/3 + 48 .

You said that 48 added to one third of the number makes triple the number,
so I can write
    M/3 + 48 = 3M
and the rest is easy.

Multiply each side by 3 : M + 144 = 9M

Subtract M from each side: 144 = 8M

Divide each side by 8 : 18 = M

Check:

   Is M/3 + 48 equal to 3M ?

   (18/3) + 48 ? = ? 3(18)

   6    + 48 ? = ? 54

54 = 54

   yay !

If x > y and y > z, then x > z. This describes which ordinal scale preference? A. Asymmetry B. Transitivity C. Negative transitivity D. None of the above

Answers

Answer:

Step-by-step explanation:

Final answer:

The given statement 'If x > y and y > z, then x > z' describes the concept of transitivity in ordinal scales.

Explanation:

The given statement 'If x > y and y > z, then x > z' describes the concept of transitivity in ordinal scales. Transitivity is the property that allows us to compare elements in a set based on their relationships with other elements. In this case, if x is greater than y and y is greater than z, then we can conclude that x is also greater than z.

Learn more about Transitivity here:

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If water ﬂows into a rectangular tank at the rate of 6 cubic feet per minute, how long willit take to ﬁll the tank, which measures 18''x 32'' x 27''

Answers

v=lwh for a rectangle
18*32*27=v
v=15,552in^3
15,552/12=1296ft^3 converts feet to inches
6*6*6=216ft^3 this is how much is filled up in a minute
1296/216=6 minutes.

the volume of a rectuangular prism is length×width×height

in this case, the volume will be 18×32×27 = 15,552 cubic inches.

water flows in by cubic feet, so we'll need to either transformthe volume of the tank to feet, or the volume of water flow to inches. in this case, it will make our life easier if we turn the tank valume into feet. 15,552 inches is exactly 1296 feet.

water flows in 6 cubic feet per minute, so we calculate that 1,296 ÷ 6 = 216

water will be flowing in for 3 hours and 36 minutes thusly.

Lila lives in a house that is 12 meters below sea level. Lila goes to school every day, which is 6 meters above sea level. How many meters does Lila travel, in altitude, when going from home to school?

Answers

Answer:

18 meters

Step-by-step explanation:

12 + 6 = 8

Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously. Approximately how many years will it take to reach a balance of $500?

Answers

Answer:

The time taken to reach the balance is approximately 13 years.

Step-by-step explanation:

Given : Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously.

To find : How many years will it take to reach a balance of $500?

Solution :

The formula of compounded continuously is

$A=Pe^(rt)$

Where, A is the amount A=$500

P is the principal P=$350

r is the interest rate r=2.8%=0.028

t is the time in year.

Substitute the values in the formula,

$500=350* e^(0.028* t)$

$(500)/(350)=e^(0.028* t)$

$1.42=e^(0.028* t)$

Taking log both side,

$\ln 1.42=0.028* t$

$0.356=0.028* t$

$t=(0.356)/(0.028)$

$t=12.71$

The time taken to reach the balance is approximately 13 years.

You use the formula
A= Pe^rt for continuously compounded interest.
500=350e^(.028*t)
Divide both sides by 350
(10/7)=e^(.028t)
Take the natural log of both sides to clear the e.
Ln (10/7)=.028t
Divide both sides by .028
Ln (10/7)/.028 =t
12.75 years

What is slope (what does it mean) for anyone who answers they will get a brainliest

Answers

slope basically directs how steep a line is. it’s formula is rise/run of y2-y1/x2-x1

Answer:

rise over run

One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Step-by-step explanation:

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