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3 years ago

Write the following expressions as an exponential term with a single base (42^5)÷(2^3 1/16)

Mathematics

1 answer:

Schach [20]3 years ago

5 0

Answer:

2^8

Step-by-step explanation:

(4*2^5)÷(2^3 *1/16)

$\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8$

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motikmotik

Answer:

1st one is yes

Step-by-step explanation:

the other two im not sure about

4 0

3 years ago

Suppose A and B are dependent events. If P(A) = 0.5 and P(BIA) = 0.6, what is

klasskru [66]

If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.

<h3>Which pair of events are called independent events?</h3>

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

P(A ∩ B) = P(A)P(B)

Comparing it with chain rule will give

P(A|B) = P(A)

P(B|A) = P(B)

Suppose A and B are dependent events.

If P(A) = 0.5

Then P(A|B) will be

P(A|B) = P(A)

P(A|B) = 0.5

Then the correct option is B.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

4 0

2 years ago

A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?

cupoosta [38]

Length of a carton :

$= \frac{22}{3} \: feet$

Width of the carton :

$= \frac{11}{8} \: feet$

Height of the carton :

$= \frac{11}{5} \: feet$

Volume of the carton :

= Length × Width × Height

$= \frac{22}{3} \times \frac{11}{8} \times \frac{11}{5}$

$= \frac{2622}{120}$

$\color{hotpink} = 21.85 \: feet$

Therefore, the volume of the carton = 21.85 feet.

7 0

3 years ago

Use the frequency table to find the mean number of working TV sets in students' homes. (picture attached)

LenaWriter [7]

The correct option is : 2

<u><em>Explanation</em></u>

For finding the mean number of working TV sets, we need to <u>divide the total number of TV sets by the total frequency</u>.

Now for finding the total number of TV sets, first we will <u>multiply each number of TV sets by it's frequency and then sum up all the results</u>.

So, the total number of TV sets

$=(0*1)+(1*8)+(2*9)+(3*4)+(4*3) \\\\ =0+8+18+12+12=50$

and total frequency $=1+8+9+4+3= 25$

Thus, the mean number of working TV sets $= \frac{50}{25}=2$

5 0

3 years ago

A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?

zepelin [54]

Answer:

$2,753.79

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

P = $2,000
r = 3.25% = 0.0325
n = 1
t = 10

Substitute the given values into the formula and solve for A:

$\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}$

$\implies \sf A=2000(1.0325)^{10}$

$\implies \sf A=2753.788608...$

Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.

8 0

2 years ago

Write the following expressions as an exponential term with a single base (4*2^5)÷(2^3 *1/16)

Write the following expressions as an exponential term with a single base (42^5)÷(2^3 1/16)