The national average utility cost is $270.48 per month. if the average electric bill is 44.9% of the total amount and the average utility cost for orlando, fl is $308.83, what would be the cost of a typical orlando electric bill and how would that compare with the national average? a. the typical orlando electric bill would be $138.66, which would be $17.21 more than the national average. b. the typical orlando electric bill would be $121.54, which would be $17.21 less than the national average. c. the typical orlando electric bill would be $138.66, which would be $76.64 more than the national average. d. the typical orlando electric bill would be $121.54, which would be $76.64 less than the national average.

Answer: 45

Step-by-step explanation:

The Median is the Middle # in the set.

I hope this helps!

7x + 4 = 46

7x = 46-4

7x = 42

x = 42/7

x = 6

THEREFORE, x = 6

HOPE IT HELPS :)

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of [tex]z=0-2i[/tex]. First, convert from Cartesian to polar form:

[tex]r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2[/tex]

[tex]\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}[/tex]

[tex]z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})[/tex]

Next, use the formula [tex]\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr][/tex] where [tex]\displaystyle k=0,1,2,...\:,n-1[/tex] to find the square roots:

When k=1

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr][/tex]

[tex]\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i[/tex]

When k=0

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i[/tex]

Thus, the square roots of -2i are 1-i and -1+i

Answer:

Step-by-step explanation:

The domain is the set of x-values in the ordered pairs.

So it is {0, 2, 5}

Yes it is a function as for each x value there is  1 y-value  (its a one-to-one function)

Answer:

6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40

Answer:

14/10 or 1 2/5

Step-by-step explanation:

Hey there!

In order to simplify this expression, we need to add the numerators and not the denominator since they are the same

14/10 is what you will get or this is also 1 2/5

Answer:

A.

[tex]1 \frac{2}{5} [/tex]

Explanation:

6/10 + 8/ 10 = 7/5

[tex] \frac{6}{10} + \frac{8}{10} = \frac{6 + 8}{10} = \frac{14}{10} = \frac{7}{5} = 1 \frac{2}{5} [/tex]

hope this helps.

Answer:

115.50

Step-by-step explanation:

you times and divide the numbersto get to yy

The one possible solution can be yy = 10 and xx = 5 .

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.

According to the question

Julia and her children went into a restaurant where ,

hamburgers (xx)= $7 each

tacos (yy) = $2.50 each.

Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.

i.e,    xx + yy ≥ 14  ----------------------------(1)

       7xx + 2.5yy ≤ 60 ----------------------(2)

from equation (1) and (2)  graph attached ...

solving both equation

multiplying equation (1) with -7

-7xx + -7yy ≤ -98 ----------------(3)

now adding equation (3) and (2)

-7xx + -7yy ≤ -98

7xx + 2.5yy ≤ 60

=   - 4.5yy ≤ -38

=    4.5yy ≥38

=     yy ≥ 8.4

now ,

yy        xx

9         5.35

10         5

11          4.64

Hence, one possible solution can be yy = 10 and xx = 5

To know more about inequality here :

https://brainly.com/question/25285332

# SPJ2

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

[tex]x=5\pm10i[/tex]

Step-by-step explanation:

[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]

Answer:

0.6

Step-by-step explanation:

I used 30 60 90 triangle.

Answer:

x = 52

Step-by-step explanation:

I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.

So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180

A + B = 180

2x + 76 = 180

2x = 104

x = 52

I hope this helps!

Answer: x=52

Step-by-step explanation:

uh i just knew

Step-by-step explanation:

I hope u are asking for average speed

average speed = total distance/total time

= 225/7.5

= 30 km/h or 30 km per hour

Answer:

As Per Provided Information

We have to determine the average speed of his car in kilometres per hour .

Using Formulae

[tex] \boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}[/tex]

On substituting the value we get

[tex]\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1} [/tex]

Therefore,

So your answer is A) 30 kph .

Answer:

Step-by-step explanation:

The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.

__

The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).

"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."

The rule y = -3 - x is an illustration of a linear equation

The points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)

The rule of the points is given as:

y = -3 - x

When x = 0, we have:

y = -3 - 0

y = -3

When x = 1, we have:

y = -3 - 1

y = -4

When x = 2, we have:

y = -3 - 2

y = -5

From the above computation, we have the following points

(0,-3), (1,-4) and (2,-5)

Hence, the points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)

Read more about coordinate planes at:

https://brainly.com/question/10737082

Answer:

f(4)=-10

x=0

Step-by-step explanation:

Answer: 4. A 5. C 6. D

Step-by-step explanation: that’s it!!!!!!!!!!

Answer:

The answer that makes sence to me is C (-3, 4)

Step-by-step explanation:

Answer:

60 times.

Step-by-step explanation:

Prob( of rolling  a 2) = 1/6

Prob( of rolling  a 3) = 1/6

So Prob( 2 or 3) = 1/6 + 1/6 = 1/3,

So the prediction is 1/3 * 180 = 60.

Answer:

88 inches

Step-by-step explanation:

Divide the shape into 2 shapes and add all side lengths.

20+8+8+16+12+24=88

Answer:

$13.52

Step-by-step explanation:

Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52

9(x+6)

Hope it helps.

Do comment if you have any query.

Answer:

x = 52

Step-by-step explanation:

49° is the vertical angle of the triangle.

-> measure of other angle of triangle = 49°

By exterior angle theorem:

x° + 49° = 101°

-> x° = 101° - 49°

-> x° = 52°

-> x = 52

Answer:

x = 5/2

y = -2

Step-by-step explanation:

(1+i)² (x+yi) = 4+5i

(1+2i+i²)(x+yi) = 4+5i

(1+2i-1)(x+yi) = 4+5i

2i(x+yi) = 4+5i

2i²y + 2xi = 4+5i

-2y + 2xi = 4 + 5i

By comparing both sides,

-2y = 4

y = -2,

2x = 5

x = 5/2

Step-by-step explanation:

-5(x + 4)² + 8 = -5(x² + 8x + 16) + 8 =

= -5x² - 40x - 80 + 8 = -5x² - 40x - 72

so, the third answer option must be correct, but you made a mistake there and forgot the "x" as factor of -40.

Answer:

7 people

Step-by-step explanation:

Given:

$272 total money for all friends

parking costs $7.75 for all

tickets cost $37.75 per person

Solution;

Take away the money for parking to see how much money we have left for tickets

272 - 7.72 = $ 264.25

We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for

264.25 / 37.75 = 7

If we have money for 7 tickets then 7 friends can go to the amusement park.

Answer:

b

Step-by-step explanation:

i hope this helped