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ruslelena [56]
1 year ago
12

What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot?

Mathematics
2 answers:
Crank1 year ago
8 0

Answer:

<h2>B. 4 StartRoot 2 EndRoot i </h2>

Step-by-step explanation:

Given the surd function √-2 and √-18, we are to fund the sum of both values.

Taking the sum:

= √-2 + √-18

= (√2 * √-1)+ (√18 *√-1)

from complex numbers, √-1) = i

The expression becomes

= √2 i+ √18 i

= √2 i+ √9*2 i

= √2 i+ 3√2 i

= 4 √2 i

= √-2 + √-18 = 4 √2 i

The result is 4 StartRoot 2 EndRoot i

Nimfa-mama [501]1 year ago
3 0

Answer:

its b

Step-by-step explanation:

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Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m
Dovator [93]

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

8 0
2 years ago
Read 2 more answers
Terry invested money in a biotech stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of da
strojnjashka [21]

Answer:

The average rate of change is 1.275

Step-by-step explanation:

The average rate of change of f(x) from x=a to x=b is given by:

\frac{f(b)-f(a)}{b-a}

The money Terry invested is modeled by the function f(x)=0.01(2)^x where x represents number of days.

The average rate of change from day 2 to day 10 is given by:

\frac{f(10)-f(2)}{10-2}

f(10)=0.01(2)^{10}=10.24

f(2)=0.01(2)^{2}=0.04

The average rate of change becomes:

\frac{10.24-0.04}{8}

=\frac{10.2}{8}=1.275

3 0
2 years ago
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Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. How many loads of laundr
Crank

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

 Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = 2\frac{1}{2} =\frac{2*2+1}{2} =\frac{5}{2} scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

 Price of detergent box = 19.99 $

 Price he paying for each load = Total price/ Number of loads

                                                   = 19.99/78

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5 0
1 year ago
For a particular clothing store, a marketing firm finds that 16% of $10-off coupons delivered by mail are redeemed. Suppose six
stich3 [128]

Answer:

The expected number of coupon  is E(X) = 1.6

Step-by-step explanation:

From the question we are told that

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  The sample size is  n =  10

Generally the expected number of coupons that will be redeemed is mathematically represented as

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=>       E(X) = 10 * 0.16

=>       E(X) = 1.6

4 0
1 year ago
A basketball backboard set that sold for $79 is discounted 15% what is the sale price
Sliva [168]
Just divide 79 dollars to 15.0
5 0
1 year ago
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