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Diano4ka-milaya [45]
2 years ago
13

If f(x) = 1 – x, which value is equivalent to |f(i)|? options are:

Mathematics
2 answers:
g100num [7]2 years ago
5 0
We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ). Answer: <span>C. sqrt( 2 )</span>
sesenic [268]2 years ago
3 0
The answer is C, Hope this is helpful and you make a good grade

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Solve the rational equation quantity 3 times x minus 5 end quantity divided by 7 equals four sevenths. A: f(n) = f(n − 1) ⋅ 0.3
KengaRu [80]

Answer:

2.8 < x -0

Step-by-step explanation:

4 0
1 year ago
The number of bacteria in a petri dish on the first day was 113 cells. If the number of bacteria increase at a rate of 82% per d
Tresset [83]

Answer:

4107 cells

Step-by-step explanation:

From the question, we have the following values:

Day 1 : 113 cells

Number of cells increases by day by 82%

Hence,

Day 2

113 × 82% = 92.66cells

Hence, Total number of bacteria cells for Day 2 = 113 + 92.66 = 205.66cells

Day 3

205.66 × 82% = 168.6412 cells

Hence, Total number of bacteria cells for Day 3 = 168.6412 + 205.66 = 374.3012 cells

Day 4

374.3012 × 82% = 306.926984 cells

Hence, Total number of bacteria cells for Day 4 = 306.926984 + 374.3012 = 681.228184 cells

Day 5

681.228184 × 82% = 558.60711088 cells

Hence, Total number of bacteria cells for Day 5 = 558.60711088 + 681.228184 = 1239.8352949 cells

Day 6

1239.8352949 × 82% = 1016.6649418 cells

Hence, Total number of bacteria cells for Day 5 = 1016.6649418 + 1239.8352949 = 2256.5002367 cells

Day 7

2256.5002367 × 82% = 1850.3301941 cells

Hence, Total number of bacteria cells for Day 7 = 1850.3301941 + 2256.5002367 = 4106.8304308 cells

Approximately to nearest whole number, the total number of bacteria cells that would be present after 7 days = 4107 cells

3 0
1 year ago
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneaker
Korvikt [17]

Answer:

$25.00

Step-by-step explanation:

200-100=100

100/4=25

4 0
1 year ago
Read 2 more answers
Circular tracts of land with diameters 900 meters, 700 meters and 600 meters are tangent to each other externally. There are hou
Rudik [331]

Answer:

\alpha=69.28^o

\beta=61.26^o

\gamma=49.46^o

<em />A=227980.26\ m^2<em />

Step-by-step explanation:

<u>Triangle Solving</u>

If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.

The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are

x=450+350=800

y=450+300=750

z=350+300=650

The internal angles can be computed by using the cosine's law

x^2=y^2+z^2-2yzcos\alpha

y^2=x^2+z^2-2xzcos\beta

z^2=x^2+y^2-2xycos\gamma

Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:

\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}

\displaystyle cos\alpha=\frac{750^2+650^2-800^2}{2\cdot 750\cdot 650}

cos\alpha=0.3538

\alpha=69.28^o

Similarly

\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}

\displaystyle cos\beta=\frac{800^2+650^2-750^2}{2\cdot 800\cdot 650}

cos\beta=0.4808

\beta=61.26^o

The other angle is computed now

\displaystyle cos\gamma=\frac{x^2+y^2-z^2}{2xy}

\displaystyle cos\gamma=\frac{800^2+750^2-650^2}{2\cdot 800\cdot 750}

cos\gamma=0.65

\gamma=49.46^o

The area can be found by

\displaystyle A=\frac{1}{2}x.y.sin\gamma

\displaystyle A=\frac{1}{2}\cdot 800\cdot 750\cdot sin49.46^o

A=227980.26\ m^2

8 0
1 year ago
The Atlantic bluefin tuna is the largest and most endangered of the tuna species. They are found throughout the North Atlantic O
Maksim231197 [3]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

3 0
2 years ago
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