2. A solar lease customer built up an excess of 6,500 kilowatt hours (kwh) during the summer using his solar
panels. When he turned his electric heat on, the excess began to be used up at a rate of 50 kilowatt hours
per day.
(a) If E represents the excess left and d represents (b) How much of the excess will be left after one
the number of days since the heat has been month (use a month length of 30 days)?
turned on, write an equation for E in terms of d.
(c) If the heat will need to be turned on for 5 months, will the excess be enough to last through this time
period? Justify your answer.

Answers

Answer 1

9514 1404 393

Answer:

  a)  E = 6500 -50d

  b)  5000 kWh

  c)  the excess will last only 130 days, not enough for 5 months

Step-by-step explanation:

Given:

  starting excess (E): 6500 kWh

  usage: 50 kWh/day (d)

Find:

  a) E(d)

  b) E(30)

  c) E(150)

Solution:

a) The exces is linearly decreasing with the number of days, so we have ...

  E(d) = 6500 -50d

__

b) After 30 days, the excess remaining is ...

  E(30) = 6500 -50(30) = 5000 . . . . kWh after 30 days

__

c) After 150 days, the excess remaining would be ...

  E(150) = 6500 -50(150) = 6500 -7500 = -1000 . . . . 150 days is beyond the capacity of the system

The supply is not enough to last for 5 months.


Related Questions

I need help. I can't figure this question out.

Answers

-30a5b+12a4b3+16a3b2-4a2b4-2ab3

Gab is able to serve 9 serving of penne pasta to 16 people. How many servings does he have to make for a party of 80 people ​

Answers

45 servings for 80 people
45 servings
80 people

Juanita works in a bakery. She uses 10 eggs to make 3 cakes, 16 eggs to make 5 cakes, and 25 eggs to make 8 cakes. What rule does Juanita follow when she bakes cakes?


A. c = 3e + 4

B. e = c + 7

C. e = 3c + 1

D. c = 3e + 2

Answers

Answer:

ur answr is C)e = 3c + 1

Step-by-step explanation:

if u take ur number of cakes times 3 and add one, you get the rite amount of eggs each time.

Hope this helps!! Pls mark me brainliest!!

how many solutions does the quadratic have? 2x^2+3x-5​

Answers

Answer:

2 solutions

Step-by-step explanation:

Given

2x² + 3x - 5 ( to solve the quadratic equate it to zero )

2x² + 3x - 5 = 0 ← in standard form

(2x + 5)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]

x - 1 = 0 ⇒ x = 1

The 2 solutions are x = - [tex]\frac{5}{2}[/tex] , x = 1

Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock collection? 2 possible ways
3 possible ways
5 possible ways
6 possible way

Answers

Answer:

6 possible ways

Step-by-step explanation:

18 divided by 6=3

This means each line will get 3 rocks


Find the volume of the sphere. Round to the nearest tenth.
r = 2

Answers

V ≈ 33.51

plug in the radius for the formula of a sphere which is V=(4/3)(π)(r^3)

An equation of a line through (11, 12) which is perpendicular to the line y=3x+1 has slope: ____Blank____
and y -intercept at
____Blank____

Answers

Answer:

the slope is 3 and 1 and the y intercept is 1 and 1

Step-by-step explanation:

How do you find x when y =2

Answers

Answer:

u got to let us see the question too... we can't find x just like that-

The average temperature in Lincoln in July is 85 degrees. Last Wednesday, it was 90 degrees. Today it was 15 degrees cooler than last Wednesday. What was the temperature today?

Answers

Answer:

[tex]75^{\circ}\text{F}[/tex]

Step-by-step explanation:

Last Wednesday it was 90 degrees Fahrenheit.

Today it is 15 degrees Fahrenheit colder than it was last Wednesday.

So, today's temperature will be the difference of the temperatures of last Wednesday's and today's temperature. We have to find the difference as it is colder today means it is a lower temperature than last Wednesday's.

[tex]90-15=75^{\circ}\text{F}[/tex]

Today's temperature is [tex]75^{\circ}\text{F}[/tex]

A store at the mall was closing. Everything in the store was 75% off. If you
wanted to buy a $200 jacket, how much did it actually cost you?

Answers

Answer:

50 dollars

Step-by-step explanation:

if everything was 75% off then you are only paying 25% of the original price. so 200 multiplied by 0.25( which is the same as multiplying my 25/100 or 1/4)=50

Answer:

$267

Step-by-step explanation:

75%=200

1%=2.67

100%=267

Have a nice Day , I would appreciate it if you could mark my answer brainliest

A store sells a 1/1/4 pound package of turkey for $9 whats the unit price of the turkey in the package

Answers

Answer:

$7.20

Step-by-step explanation:

The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!

Plzz help meeee quickkk!!!

Answers

Answer:

[tex]D.x=35[/tex]

Step-by-step explanation:

[tex]As\ we\ observe\ that,\ all\ sides\ of\ the\ triangle\ are\ marked\ equal,\ the\ triangle\\ provided\ is\ equilateral.\\This\ implies\ that\ all\ the\ angles\ of\ an\ equilateral\ triangle\ are\ equal\ and\\ measure\ 60\ degree.[Through\ Angle\ Sum\ Property]\\Hence,\\(2x-10)=60\\2x-10+10=60+10[Adding\ 10\ to\ both\ the\ sides]\\2x=70[Simplifying]\\x=\frac{70}{2}[Dividing]\\x=35[Finding\ the\ value\ of\ x]\\[/tex]

Translate the inequality and solve. Three times a number is less than or equal to six.​

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.

Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?

Answers

Answer:

[tex]A_4[/tex]

Step-by-step explanation:

The cost of the e-readers and the subscription of their services are

[tex]A_1(t)=5t+350[/tex]

[tex]A_2(t)=10t+250[/tex]

[tex]A_3(t)=499[/tex]

[tex]A_4(t)=15t+179[/tex]

The functions are of the form

[tex]A(t)=mt+c[/tex]

Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.

So, 15 dollars is the highest subscription cost which is of the 4th e-reader.

Hence [tex]A_4[/tex] has the highest subscription cost.

Can any kind soul help me​

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

M∩N' is the set of numbers divisible by 3 that are not even. In the range [25, 40], those numbers are {27, 33, 39}. There are 3 members of the set.

What is the slope of the line 4x - 8y = 16 ?*

Answers

Step-by-step explanation:

4x - 8y = 16

8y = 4x - 16

y = 0.5x - 2

Hence the slope is 0.5.

Answer:

1/2

Step-by-step explanation:

Slope from a standard form equation is [tex]-\frac{A}{B}[/tex].

A is 4 and B is -8.

[tex]-\frac{A}{B}=\frac{-4}{-8}= \boxed{\frac{1}{2}}[/tex]

Hope this helps.

Find an
equation for the perpendicular bisector of the line segment
whose endpoints (7,9) and (-1,3).
are

Answers

Step-by-step explanation:

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

any more help just ask :)

substitute ×=3in the following equation to find y
5y - 2x=9​

Answers

Answer:

y=3

Step-by-step explanation:

5y-2(3)=9

5y-6=9

+6       +6

5y=15

/5    /5

y=3

An average American child aged 0-2 years old has about 915 minutes of screen time in 5 days. 6 times the difference between a child aged 0-2 years (915) and a child aged 3-5 years (X) is the same as the sum of 100 and a child aged 3-5 years (X). How much screen time does an average child (x) have?​

Answers

Answer:

For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.

Step-by-step explanation:

For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.

Write y – 3 = 23 (x – 2) in standard form. PLEASE HELP BEST ANSWER AND EXPLANATION WILL GET BRAINLIEST!!

Answers

Answer:

23x -y = 43

Step-by-step explanation:

in slope intercept form, we have y=mx+b where m=slope, b= y intercept

first let's simplify the expression 23(x-2)

y-3 = 23x - 23*2

y-3 = 23x - 46

now add 3 to both sides to move numbers to the right hand side

y -3 +3 = 23x -46 +3

y = 23x - 43

convert to standard form by having x and y on one side, numbers on the other.

add 43 to both sides

y+43 = 23x

subtract y from both sides

43 = 23x - y

please give thanks by clicking the heart button :)

PLS HELP LOL, t is the value of the expression −100÷25? Enter your answer as an integer in the box.

Answers

Answer:

4

Step-by-step explanation:

100 divided by 25=4

Answer:

-4 as the answer but as an integer maybe 0-4?

Step-by-step explanation:

Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Answers

Answer:

 y= -3/4x - 4

Step-by-step explanation:

To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.

Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.

y=-3/4x+b

Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify

                           -1= 3 + b    subtract 3 for both sides

                           -4=b

         substitue -4 for b.   Now you have    y= -3/4x - 4    this is your answer.

I can't afford to fail right now!

THE QUESTION IS: Paul and Seth know that one point on a line is (4, 2) and the slope of the line is −5. Each student wrote a different equation relating x and y.

A. Do the two equations represent the same line? Construct a mathematical argument to support your answer.

Answers

Answer:

Screenshot

Step-by-step explanation:

Answer:

Yes they represent the same line

Step-by-step explanation:

-5x+20=y-2 ( Seth equation simplified)

-5x+22=y ( Seth equation isolate y)

Paul equation =  Seth equation


Can you please help me

Answers

Answer:

F (I think)

Step-by-step explanation:

2/3 is 0.66 (forever), 65%, 5/8 is .625, and 0.6 (0.600)

Hopefully, this helps :D

Answer:

the answer should be f

Step-by-step explanation:

jrbrbhrferfeerjfklebiviebvewb bpqib iqbepib phqb ehb piqebj f hbwflvfuyfe

Answers

Answer:

Ghjurdvbjkhffgjiojjjggdtj

Step-by-step explanation:

Prove that Tan x + Cos x = 1 /Sin x .Cos x​

Answers

Answer:

tanx + cotx =  [tex]\frac{1}{sinxcosx}[/tex]

Step-by-step explanation:

Explanation

Take R.H.S   = [tex]\frac{1}{sinxcosx}[/tex]

            =      [tex]\frac{sin^{2}x+cos^{2}x }{sinxcosx}[/tex]

          =      [tex]\frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}[/tex]

        = [tex]\frac{sinx}{cosx} + \frac{cosx}{sinx}[/tex]

        = tanx + cotx

tanx + cotx =  [tex]\frac{1}{sinxcosx}[/tex]

             

Find the equation of the linear function represented by the table below in slope-intercept form

Answers

Answer:

Y = 3x - 1

Step-by-step explanation:

Sorry it’s late but hope this helps. Pls give brainliest.

A minor league baseball team has a member's club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How many tickets will it take for the cost to be the same?

Answers

Answer:

2 tickets

Step-by-step explanation:

because if a no member ticket is 6 dollars than than two 3 dollar tickets will equal 6 dollars

Solve
4x+3/7+2=x+5/2​

Answers

Answer:

x= 1/42

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x+3/7+2=x+5/2

combine like terms (2 and 3/7)

4x+17/7=x+5/2

Step 2: Subtract x from both sides.

4x-x+17/7=x-x+5/2

3x+17/7=5/2

Step 3: Subtract 17/7 from both sides.

3x+17/7−17/7=5/2-17/7

3x=1/14

Step 4: Divide both sides by 3.

3x/3=1/14/3

1/14 * 1/3 = 1/42

x=1/42

What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.

Answers

Given:

Consider the below figure attached with this question.

To find:

The perimeter of the polygon UVWXYZ.

Solution:

All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.

From the figure it is clear that,

UV = 9 units

VW = 2 units

WX = 3 units

XY = 3 units

YZ = 6 units

ZU = 5 units

Now, perimeter is the sum of all the sides.

[tex]Perimeter=UV+VW+WX+XY+YZ+ZU[/tex]

[tex]Perimeter=9+2+3+3+6+5[/tex]

[tex]Perimeter=28[/tex]

Therefore, the perimeter of UVWXYZ is 28 units.

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