Please please find the square root for this number √40 + 9 =

If the square root of p2 is an integer greater than 1, which of the following must be true? I. p2 has an odd number of positive

Grace [21]

Answer:

Option | and Option || is True

Step-by-step explanation:

Given:

If the square root of $p^{2}$ is an integer greater than 1,

Lets p = 2, 3, 4, 5, 6, 7..........

Solution:

Now we check all option for $p^{2}$

Option |.

$p^{2}$ has an odd number of positive factors.

Let $p=2$

The positive factor of $2^{2}=4=1,2,4$

Number of factor is 3

Let $p=3$

The positive factor of $3^{2}=9=1,3,9$

Number of factor is 3

So, $p^{2}$ has an odd number of positive factors.

Therefore, 1st option is true.

Option ||.

$p^{2}$ can be expressed as the product of an even number of positive prime factors

Let $p=2$

The positive factor of $2^{2}=4=1,2,4$

$4=2\times 2$

Let $p=3$

The positive factor of $3^{2}=9=1,3,9$

$9=3\times 3$

So, it is expressed as the product of an even number of positive prime factors,

Therefore, 2nd option is true.

Option |||.

p has an even number of positive factors

Let $p=2$

Positive factor of $2=1,2$

Number of factor is 2.

Let $p=4$

Positive factor of $4=1,2,4$

Number of factor is 3 that is odd

So, p has also odd number of positive factor.

Therefore, it is false.

Therefore, Option | and Option || is True.

Option ||| is false.

4 0

3 years ago

Maria wants to buy a pair of shoes for $32.50 and a shirt for $8.50. If the sales tax rate is 8.5%, what will be the amount of s

miv72 [106K]

Answer:

54.25

Step-by-step explanation:

3 0

2 years ago

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.

DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there. How many more hours does Liza have to drive?

Answer:

Liza need to drive 2 more hours to reach her sister house

Solution:

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

$\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240$

So Liza has covered 240 miles in 4 hours

Let us find the speed

The relation between distance and speed is given as:

$speed = \frac{distance}{time}$

$speed = \frac{240}{4} = 60$

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

$time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2$

Thus Liza need to drive 2 more hours to reach her sister house

4 0

3 years ago

What principal will amount to $3000 if invested at 3% interest compounded

MakcuM [25]

Answer: $2227.41

Step-by-step explanation:

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

4 0

3 years ago

Need help with these type of problems & if you answer could you explain

Nuetrik [128]

Answer:

c?

Step-by-step explanation:

6 0

2 years ago