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2 years ago

11

The series 6 + 6 + 6+ 6 + 6 +

2 answers:

HACTEHA [7]2 years ago

8 0

Answer:

23

Step-by-step explanation:

Alexandra [31]2 years ago

6 0

Do you mean 6 to the 5th power. or is there another 6, if so then it would be 6 to the 6th power.

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For what value of a does (1/7)^3a+3=343^a-1

NemiM [27]

Answer:

a=0

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2 years ago

Perform the indicated operations. Write the answer in standard form, a+bi.<br> 5-3i / -2-9i

Vsevolod [243]

$\huge \boxed{\mathfrak{Answer} \downarrow}$

$\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\$

Multiply both numerator and denominator of $\sf \frac{5-3i}{-2-9i} \\$ by the complex conjugate of the denominator, -2+9i.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\$

Multiplication can be transformed into difference of squares using the rule: $\sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$ .

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\$

By definition, i² is -1. Calculate the denominator.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\$

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

$\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\$

Do the multiplications in $\sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right)$ .

$\large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\$

Combine the real and imaginary parts in -10+45i+6i+27.

$\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\$

Do the additions in $\sf-10+27+\left(45+6\right)i$ .

$\large \bf Re(\frac{17+51i}{85}) \\$

Divide 17+51i by 85 to get $\sf\frac{1}{5}+\frac{3}{5}i \\$ .

$\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\$

The real part of $\sf \frac{1}{5}+\frac{3}{5}i \\$ is $\sf \frac{1}{5} \\$ .

$\large \boxed{\bf\frac{1}{5} = 0.2} \\$

3 0

2 years ago

PLEASE HELP AND EXPLAIN THIS ALSO GRAPH PLS<br> the answer choices are -6, -4, 6, 4

liubo4ka [24]

$\sf \: (x,y) = ( - 4, - 6)$

$\rule{300pt}{3pt}$

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4 0

2 years ago

A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must b

Yuki888 [10]

Answer:

5 gallons of water must be added.

10 gallons to start with

adding 'x' gallons of water final volume = 10 + x

.9 (10) = amount of vinegar

.1(10) = amount of water

amount of vinegar before and after water addition is constant

.9(10) = .6(10+x)

9 = 6 + .6x

3 = .6x

x = 5 gallons of water to be added

(i truly hope i helped you

8 0

2 years ago

Functions<br> F(1) if f(x)=x+3

ratelena [41]

Answer:

the ewser is 4

Step-by-step explanation:

sence x=1 1+3 =4

5 0

3 years ago