An office is divided into 8 cubicles. How many of the cubicles are carpeted if only 1/4 of the cubicles are carpeted?

Is "8.313313331..." a rational or irrational number

Snowcat [4.5K]

Answer:

Irrational

Step-by-step explanation:

Repeating decimals are rational. Nonrepeating are irrational.

This is a nonrepeating decimal. First you have one 3, then two 3s, then three 3s. It's not a repeating pattern. So it's an irrational number.

7 0

1 year ago

Rewrite each expression as a product of two or quotient of two powers

Paul [167]

Answer:

The product is $5^{40}*3^{70}$

Step-by-step explanation:

To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:

$(\frac{5^8*3^7}{5^4})^{10}\\(\frac{5^8}{5^4}*3^7)^{10}\\(5^4*3^7)^{10}\\5^{40}*3^{70}$

6 0

1 year ago

A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were m

aalyn [17]

This question is incomplete. Below is the complete question:

A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were made. At the end of an 8 year period, the balance in the account was $13231.30. what is the amount of the initial deposit?

Answer: The initial deposit is $10,001

Step-by-step explanation:

To solve this we need to utilize the continuous compounding interest formula:-

Fv = Pv × e^(i × t)

Where, Fv = the future value

Pv = present value

i = the interest rate

t = the time in years

e = a mathematical constant that is usually approximated by 2.7183

In this case, the Fv = 13,231.30

i = 3.5% or 0.035

t = 8 years

e = 2.7183

Pv = ? (The unknown variable).

13,231.30 = Pv × [2.7183^(0.035 × 8)]

13,231.30 = Pv × [2.7183^(0.28)]

13,231.30 = Pv × 1.323

Pv = 13,231.30/1.323

Pv = $10000.98

= $10,001

Therefore the initial deposit is $10,001

8 0

1 year ago

Can someone help me on question 14. Please show steps

zavuch27 [327]

Answer:

$0.5a+7.5b^2$

Step-by-step explanation:

$4b^2+3.5a-2a+3.5b^2-a$

Group similar terms together:

$3.5a-2a-a+4b^2+3.5b^2$

Add the term $b^2$ :

$3.5a-2a-a+7.5b^2$

Subtract the term a:

$0.5a+7.5b^2$

5 0

1 year ago

A. Find x. The figure is not drawn to scale.

blondinia [14]

Based on the given figure above, we can conclude that the triangle is an isosceles triangle. By definition, an isosceles triangle is a triangle that has at least two equal sides. Since this is an isosceles triangle, 8x-10 =6x. Now we can solve for x. So,
8x-10 =6x
8x-6x = 10
2x =10
x= 5.
Therefore, the value of x in the figure is 5. Hope this is the answer that you are looking for.

3 0

1 year ago