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Elena L [17]
2 years ago
11

The water rate in a village in westchester county is $3.74 per 100 cubic feet used. What is the water bill if the resident uses

800 cubic feet?
Mathematics
1 answer:
Nookie1986 [14]2 years ago
3 0

Answer:

$29.92

Step-by-step explanation:

For every 100 cubic feet, $3.74 is charged

If a resident uses 800 cubic feet, then we multiply the rate by 8 since 800 is 8 times 100.

3.74 x 8 = 29.92

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Answer must be in fraction form
Damm [24]

Answer:

-7/18

Step-by-step explanation:

To multiply fractions, you just multiply the top number by the top number and the bottom number by the bottom number. Also, you have to watch the sign.

In this case, we have a positive fraction multiplied by a negative fraction, meaning that our answer must be negative.

So we have- 2x7 / 4x9.

This is simplified to be- 14/36, or 7/18.

However, the answer is actually -7/18, since the number must be negative.

Let me know if this helps.

8 0
2 years ago
Benjamin has to wear a uniform to school. His uniform is made up of tan or blue pants and a blue or white collared shirt. Benjam
oee [108]

Explanation:

As his uniform is made up of tan or blue pants and a blue or white collared shirt.

So, there are possibly four combinations which are as follows:

  • tan pants/blue shirt
  • tan pants/white shirt
  • blue pants/blue shirt
  • blue pants/white shirt

As Benjamin carries an extra piece of white shirt. So, he has a little bit better than 25% chance of wearing his favorite combination.

So,

  • Probability of getting tan pants = 2/4 = 1/2
  • Probability of getting white shirt = 3/5

The probability of getting both can be computed by simply multiplying 2/4 and 3/5.

So,

  • Probability of getting both = 1/2 × 3/5 = 3/10 ⇒ 30%

<em>Keywords: probability, chance</em>

<em> Learn more about from /brainly.com/question/14382310</em>

<em> #learnwithBrainly</em>

3 0
3 years ago
What is (2-2i√3)4 equivalent to?
maxonik [38]

a. (2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

b. (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

To answer the question, we need to know what complex numbers are

<h3>What are complex numbers?</h3>

Complex numbers are numbers of the form z = x + iy

<h3>a. Complex numbers in polar form</h3>

Complex numbers in polar form z = r(cosθ + isinθ) where

  • r = √(x² + y²) and
  • θ = tan⁻¹(y/x)

Given that z = (2 - 2i√3)⁴ =

So,

  • x = 2 and
  • y = -2√3

So, converting to polar form

r = √(x² + y²)

= √[2² + (-2√3)²]

= √[4 + 4(3)]

= √[4 + 12]

= √16

= 4

θ = tan⁻¹(y/x)

θ = tan⁻¹(-2√3/2)

θ = tan⁻¹(-√3)

θ = -π/3

So, z = r(cosθ + isinθ)

= 4(cos(-π/3) + isin(-π/3))

<h3>Powers of complex numbers</h3>

A complex number z raised to power n is zⁿ = rⁿ(cosnθ + isin(nθ)]

z⁴ = (2 - 2i√3)⁴

= r⁴(cos4θ + isin4θ)

= 4⁴(cos(4 × -π/3) + isin(4 × -π/3))

= 256(cos(-4π/3) + isin(-4π/3))

= 256cis(-4π/3)

(2 - 2i√3)⁴ in polar form is 256(cos(-4π/3) + isin(-4π/3)) = 256cis(-4π/3)

<h3>b. Complex numbers in rectangular form</h3>

The complex number z =  r(cosθ + isinθ) in rectangular form is z = x + iy where

  • x =  rcosθ and
  • y =  rsinθ

Given that z⁴ = 256(cos(-4π/3) + isin(-4π/3)) in rectangular form,

x = rcosθ

= 256(cos(-4π/3)

= 256cos(-4 × 60°)

= 256cos(-240)

= 256cos(240)

= 256 × -1/2

= -128

y =  rsinθ

= 256sin(-4π/3)

= 256sin(-4 × 60°)

= 256sin(-240)

= -256sin240

= -256 × -√3/2

= 128√3

So, z⁴ = x + iy

= -128 + 128√3

So, (2 - 2i√3)⁴ in rectangular form is -128 + 128√3

Learn more about complex numbers in polar form here:

brainly.com/question/9678010

#SPJ1

7 0
1 year ago
Please help! I dont wanna beg
lesantik [10]
Volume = Length x Width x Height

V= 7.5 ft x 4.2 ft x w fr

The width is 2 as listed.

V= 7.5ft x 4.2ft x 2ft
V=63
6 0
3 years ago
There was 145 children that went to the park today and 60% of the children were boys. How many of the children were girls at the
Irina18 [472]

First find 60% of 145 =

60% of 45 equals 87.

Now subtract 87 from 145.

145 - 87 = 58

So there were 58 girls.

7 0
3 years ago
Read 2 more answers
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