Which of the following is a like radical to 3 x StartRoot 5 EndRoot?x (RootIndex 3 StartRoot 5 EndRoot)
StartRoot 5 y EndRoot
3 (RootIndex 3 StartRoot 5 x EndRoot)
y StartRoot 5 EndRoot

Answers

Answer 1
Answer:

Answer:

D

Step-by-step explanation:

Answer 2
Answer:

Final answer:

The like radical to the expression 3√5 is y√5, as both expressions have the square root index and the same radicand, which is 5.

Explanation:

The student is asking which radical expression is like the radical 3√5. Like radicals have the same index and radicand. The index is the degree of the root, and the radicand is the number under the radical sign. The expression 3√5 means 3 times the square root of 5, or in exponential form, 3 × 51/2. The like radical for 3√5 would also need to have a square root (index of 2) and the same radicand (5). Therefore, the like radical to 3√5 from the options provided would be y√5 because it has the same index (2) and radicand (5), only with a different coefficient (y instead of 3).

Additionally, expressing radicals as fractional exponents helps to identify like radicals. For example, using the property x² = √x we can understand that if we have the same base and exponent, we can consider the expressions to be like radicals. Hence, in this case, since both 3 and y are just coefficients, the root parts √5 are the same, making them like radicals.

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Which items are NOT substitute goods?apples and oranges
jars and sealable bags
an automobile and a dump truck
a slice of pizza and a hamburger

Answers

Um... a slice of pizza and a hamburger?
A slice of pizza and a hamburger

The table on the left is that of a linear function, and the one on the right is that of an exponential function. Can you tell which function has the higher rate of growth? How?

Answers

The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\n4&28&8\n5&35&16\n6&42&32\n7&49&64\n8&56&128\n9&63&256\end{array}

and you can see how the exponential growth is much faster than the linear one.

Jonah runs 3/5 mile on Sunday and 7/10 mile on Monday . He uses the model to find that he ran a total of 1 mile. What mistake does Jonah make? I NEED ANSWERS ASAP

Answers

Answer:

see below

Step-by-step explanation:

3/5 + 7/10

We did not get a common denominator

He added the numerators and got 10/10 = 1

He should get a common denominator

3/5 * 2/2   + 7/10

6/10 + 7/10

13/10

10/10 + 3/10

1  3/10 miles

Answer:

His mistake was adding the numerators together without converting the fractions to have a common denominator

Step-by-step explanation:

3/5 + 7/10

convert fractions to have common denominator

6/10 + 7/10 = 13/10

convert improper fraction to mixed number

1 3/10

He ran a total of 1.3 miles

12% of students of a class of 50 like blue
colour. How many children like blue colour?​

Answers

If 12% of students of a class of 50 like blue  colour, the number of children that like blue is 6

The number of students in the class = 50

12% of the total number of students like blue

Number of students that like blue colour = 12% of 50

Number of students that like blue colour = (12/100)  x  50

Number of students that like blue colour = 0.12  x  50

Number of students that like blue colour = 6

Therefore, if 12% of students of a class of 50 like blue  colour, the number of children that like blue is 6

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Answer:

6 children

Step-by-step explanation:

(12*50)/100

The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5.The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.

Answers

Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1

Since the above question says that the probability of Jonas winning the race is = 0.6

And the question says that the probability of Jonas losing the race is = 0.5

If we sum up the probabilities of winning and losing,

Probability = 0.4 + 0.5

= 0.9

Hence, the above situation is not possible because the probability must be = 1.

According to the phenomenon of Probability,

Let us consider two probabilities that are

The winning probability is given = x

The Losing probability is given =  y

So, x + y = 1 ( must be 1 )

Therefore, Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1

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Decide whether the following statement makes sense (or clearly true) or does not make sense (or is clearly false). Explain your reasoning. The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5. Choose the correct answer below.

A. The statement makes sense because it is true that the probability of Jonas not winning the race is

B. The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.

C. The statement makes sense because the probability of Jonas winning the race will always be between 0 and 1.

D. The statement does not make sense because the probability of Jonas winning the race cannot be greater than the probability of him not winning the race.

Select all the correct answers.Which of the following should be subtracted from a check register balance when comparing it with a bank statement?
ATM withdrawal fee
outstanding deposit
interest earned
NSF fee

Answers

Final answer:

When comparing a check register balance with a bank statement, you should subtract the ATM withdrawal fee and NSF fee, but not the interest earned.


Explanation:

  1. ATM withdrawal fee: This should be subtracted as it represents the amount of money you have withdrawn from the bank but is not reflected in the check register balance.
  2. NSF fee: This should be subtracted as it represents a fee charged for a bounced check, indicating a difference between the check register balance and the bank statement.
  3. Interest earned: This should not be subtracted as it represents additional money earned on the bank account and should be added to the check register balance.

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