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vivado [14]
3 years ago
6

Which expression is equivalent to i 233? a)1 b)–1 c)i d)–i

Mathematics
2 answers:
Aneli [31]3 years ago
5 0

We have to find the value of the expression i^{233}

We know that the below values.

i^2=-1\\i^4=1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4

i^{233}=(i^4)^{58}\cdot i

Now, we know that i^4=1

Hence, we have

i^{233}=(1)^{58}\cdot i

i^{233}=1\cdot i

i^{233}=i

C is the correct option.

Alinara [238K]3 years ago
5 0
Choice c) I is the answer
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Write the equation you would use to find x, then solve for x.
goldfiish [28.3K]

Answer:

x + 6x+10   + x+2 = 180

x = 21

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x + 6x+10   + x+2 = 180

Combine like terms

8x + 12 = 180

Subtract 12 from each side

8x+12-12 = 180-12

8x =168

Divide each side by 8

8x/8 = 168/8

x =21

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Answer:

Step-by-step explanation:

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3 0
3 years ago
The population of Preston is 89,000 and is decreasing by 1.8% each year. Write a formula that models the population as a functio
Fiesta28 [93]

Answer:

P=89,000e^{-.018t}

Step-by-step explanation:

I used this equation formula and just input the numbers given:

P=P_{o}e^{rt}

Where

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r = rate of growth

t = time

Hope this helps!

6 0
3 years ago
1. Calculate the area of the circle having the following radius (r) or diameter (d) (π= 3.14) (a) Radius (r) = 3 cm (b) Diameter
Marat540 [252]

The area of circle having radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².

Given the radius and diamtere are (a) Radius (r) = 3 cm (b) Diameter (d) = 5 cm (c) Radius (r) = 8 ft. (d) Diameter (d) = 12 cm (f) Diameter (d) = 20 km (g) Diameter (d) = 15 mm (i) Radius (r) = 16 yd​.

We will calculate the area of circle by using the formula A=πr² or π(d/2)².

(a) Radius (r)=3cm

The area of circle is

Area=π(3)²

Area =9π

Here, π=3.14, we get

Area =9×3.14

Area=28.27cm²

(b) Diameter (d)=5cm

The area of circle is

Area=π(5/2)²

Area =π(2.5)²

Area=6.25π

Here, π=3.14, we get

Area =6.25×3.14

Area=19.63cm²

(c) Radius (r)=8 ft

The area of circle is

Area=π(8)²

Area =64π

Here, π=3.14, we get

Area =64×3.14

Area=201.06ft²

(d) Diameter (d)=12cm

The area of circle is

Area=π(12/2)²

Area =36π

Here, π=3.14, we get

Area =36×3.14

Area=113.1cm²

(e) Diameter (d)=20km

The area of circle is

Area=π(20/2)²

Area =100π

Here, π=3.14, we get

Area =100×3.14

Area=314.16km²

(f) Diameter (d)=15mm

The area of circle is

Area=π(15/2)²

Area =56.25π

Here, π=3.14, we get

Area =56.25×3.14

Area=176.71mm²

(g) Radius (r)=16yd

The area of circle is

Area=π(16)²

Area =256π

Here, π=3.14, we get

Area =256×3.14

Area=804.25yd²

Hence, the area of circle having radius and diameter is  radius 3cm is 28.27 cm², diameter 5cm is 19.63 cm², radius 8 ft is 201.06 ft², diameter is 113.1 cm², diameter 20 km is 314.16 km², diameter 15 mm is 176.71 mm² and radius 16 yd is 804.25 yd².

Learn more about the area of circle from here brainly.com/question/17096708

#SPJ9

3 0
1 year ago
I . Given events A and B, If P(A)= .2 and P(B)=.4 and P(A and B)=.1, are events A and B dependent or independent. You must justi
Fittoniya [83]

Answer:

No

def of independent is P(A)*P(B) = P(A and B)

.2*.4 = .08 thus dependent

Step-by-step explanation:

5 0
3 years ago
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