Answer:
(a) the number of 100W light bulbs is 11
(b) the daily cost of 2000 kW is $4,800
Step-by-step explanation:
charge of energy consumption up to 20 kWh = $0.05/kWh
charge of energy consumption above 20 kWh = $0.10/kWh
(a) number of 100 W light bulbs that can be run continuously for less than $10 per week
Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)
= 16.8 kWh
Charge associated with this consumption = $0.05/kWh
let the number of 100 W light bulbs = n
[tex]n(\frac{\$ 0.05}{kWh} \times 16.8 kWh) = \$10\\\\n(0.84) = 10\\\\n = \frac{10}{0.84} \\\\n = 11.9[/tex]
Since 0.9 is not a whole number, the number of 100 W light bulbs is 11.
(b) if 2000 kW is used continuously
total energy consumption = 2000 kW x 24 h = 48,000 kWh
The daily cost is calculated as;
[tex]= \frac{\$0.10 }{kWh} \ \times \ 48,000 kWh\\\\= \$ 4,800[/tex]
A particular electric utility charges customers different rates depending on their daily rate of energy consumption :
(a) the number of 100W light bulbs is 11
(b) the daily cost of 2000 kW is $4,800
"Energy Consumption"Given :
Charge of energy consumption up to 20 kWh = $0.05/kWh
Charge of energy consumption above 20 kWh = $0.10/kWh(
Part a)
Number of 100 W light bulbs that can be run continuously for less than $10 per week
Total energy consumed by 100 W in 1 week = (0.1 kW) x (7 x 24 h)Total energy consumed by 100 W in 1 week = 16.8 kWhCharge associated with this consumption = $0.05/kWh
Let the number of 100 W light bulbs = n[tex]n\left(\frac{\$0.05}{kWh}\cdot16.8kWh\right)=\$10\\n\left(0.84\right)=10\\n=\frac{10}{0.84}\\n=11.9[/tex]
Since 0.9 is not a whole number.
Thus, the number of 100 W light bulbs is 11.
Part b)
2000 kW is used continuously
Total energy consumption = 2000 kW x 24 h
Total energy consumption = 48,000 kWh
The daily cost is calculated by:
[tex]\frac{\$0.10}{kWh}\cdot48000\ kWh
Daily cost=\$4800[/tex]
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Evaluate log6 base 10+ log45 base 10 - log27 base 10
Answer:
The correct answer is B.
Explanation:
log106 + log1045 - log1027
log10
6
×
45
27
= log102 x 5
log1010 = 1
Step-by-step explanation:
To solve the problem we must know about the properties of logarithms.
What are the Properties of logarithms?There are four basic properties of logarithms:
[tex]\rm log_aU+ log_aV = log_a(UV)[/tex][tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex][tex]\rm log_aU^n = n\ log_aU[/tex][tex]\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]The solution to the problem is 1.
Given to us
[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]
Evaluation of the Logarithmic expressionTo solve the problem we will use the [tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex] and [tex]\rm log_aU+ log_aV = log_a(UV)[/tex] properties of logarithms, thus the solution to the problem can be calculated as shown below,
[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]
[tex]=\rm {log_{10}(6\times 45)}-{log_{10}27}[/tex]
[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]
[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]
[tex]=\rm log_{10}10[/tex]
[tex]=1[/tex]
Hence, the solution to the problem is 1.
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tara has a large box of dog treats that weighs 6.6 pounds. she uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats.
Answer:
11
Step-by-step explanation:
6.6/0.6 = 66/6 = 11
List the cofficient in the following expression 3x+4+a+6y
Answer:
it's 3 in 3x and 6 in 6y I think but im not sure i haven't done this in a while
1 A baby gains 11 pounds in its first year of life. The baby gained 44 pounds during the first four months and 3 in its second four months. How much did the baby gain in the last four months? 0 3a pounds o 35pounds O 4 pounds O 5 pounds
Answer: 3 1/4 pounds
HHEEELPPP me PLEASEE ill mark you brainlyyy
Describe how the volume of a triangular prism and a triangular pyramid with the same dimensions are related.
Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
volume of the prism is three times the volume of the pyramid with the same dimensions.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Volume of a triangular prism = area of base triangle × length of the prism
The volume of a triangular pyramid = (1/3) × Base Area × Height
The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.
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In the accompanying diagram, CD EF, AB is a transversal, m DGH = 2x , and m FHB = 5x - 51. Find the measure, in degress, of BHE??
Answer:17
Step-by-step explanation:
2x=5x−51
−3x=−51
x=
3
51
x=17
The number of boys at CMS is 56% of the total number of students. If there are 1050 students, how many are boys?
Answer:
558
Step-by-step explanation:
Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?
Answer:
5m^2
Step-by-step explanation:
Given data
Length of board= 2.50m
Width of board= 2m
The cover need should have the same area as the board
Area= Length*Width
Area= 2.5*2
Area=5m^2
Hence the area of the cover is 5m^2
The line shown the line of best fit. The slope should and the y-intercept should
the line shown ISN'T the line of best fit. The slope should INCREASE and the y-intercept should REGRESS.
The line shown is not the line of best fit. The slope should increase and the y-intercept should regress.
We have given the graph of the regression line.
What is the graph of the regression line?
Regression lines can be used as a way of visually depicting the relationship between the independent (x) and dependent (y) variables in the graph.
A straight line depicts a linear trend in the data
Therefore, from the graph, we can conclude that,
The line shown is not the line of best fit.
The slope should increase and the y-intercept should regress.
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Dave receives 10% commission on his first $5000 in sales and receives 20% commission on any sales beyond the first $5000. If dave sells $7000 this month, what will Dave’s commission be for the month?
Answer:
Step-by-step explanation:
it a
Dave’s commission be for the month for sales worth $7000 is $900.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Dave receives 10% commission on his first $5000 and receives 20% commission on any sales beyond the first $5000.
He made sales worth $7000 this month,
Therefore, For the first $5000 he receives,
= (10/100)×5000.
= $500.
And for the rest (7000 - 5000) = $2000 he receives,
= (20/100)×2000.
= $400.
So, In total, he received (500 + 400) = $900
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what law of exponent is shown by (4³)⁴ = 4¹²
I can't simplify
5-2(-4x+10)-5x
Answer:
5-2(-4x+10)-5x----open brackets and multiply
5+8x-20-5x----combine like terms
8x-5x+5-20
3x-15
3(x-5)
Answer:
Simplified : 3x - 15
Step-by-step explanation:
5 - 2(-4x + 10) - 5x
5 + 8x - 20 - 5x
5 + 3x - 20
3x - 15
Which of the following is the midpoint between (8, 1) and (-2, -5)?
(2, -1)
(2, -2)
(3, -1)
(3, -2)
Step-by-step explanation:
2,-1
if it helps you then please make me brainliest
Directions: Please choose ONE (you may answer all if you would like) question. Make sure to EXPLAIN your work. NO EXPLANATION=NO FULL CREDIT
Is the table proportional? Explain why or why
not.
If it is proportional, what is the constant of
proportionality?
What is the equation?
Answer:
Is the table proportional? Explain why or why not
Step-by-step explanation:
No, because all the ratios of y to x are not equal.
The circumference of a circle is 137 m. Find its diameter, in meters.
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
Complete the missing parts of the table for the following function when y=3^x
Answer:
hey there
Step-by-step explanation:
look, i'm not here to answer it, if anything i'm here bc i need ur help. My mom put me in Arron Academy too, but i started a bit later then everybody else, i started in October, and i rlly think i'm rlly behind bc school is about to finish and it says i"m only 33 percent done with geometry... Can you please text me back, my email is
how to Find the product of 68 x 37
Answer:
our answer will be: 68 x 37 = 2516. To find any product in the future on your own, just remember that ...
Step-by-step explanation:
Answer:
2516
Step-by-step explanation:
multiply 7 by 8 and carry the 5
68
x 37
6
multiply 7 by 6 and add the carried 5
68
x 37
476
multiply 3 by 8 and carry the 2 but skip a space directly under 6 when you write it bc there's 2 digits
68
x 37
476
4
multiply 3 by 6 and add the carried 2
68
x 37
476
+ 204 now add
2516
what is 3,600 divided by 4
Answer:
900
Step-by-step explanation:
Noah is a lawyer last year he made 92,000 is he has to pay 22% in income tax what is the amount of income tax he needs to pay
Answer:
i have no idea
Step-by-step explanation:
Can someone please answer this I am in need of help? NOW
Answer:
3 and 4
Step-by-step explanation:
a complemantary angle is 2 angles that equal 90* so 3 and 4
How do you graph y=−x−2.
3.) AI 65 kom hr. Alfred can reach home in 50 minutes. At what speed should he drive his car
so that he can reach home 10 minutes earlier?
Answer:
He should drive his car at a speed of 81.25 kilometers per hour.
Step-by-step explanation:
With a velocity of 65 kilometers per hour, he reaches home in 50 minutes. What speed he needs to reach home 10 minutes earlier, that is, in 50 - 10 = 40 minutes?
To solve this, we use the relation between inverse proportion variables(as the velocity increases, time needed decreases), that is, a rule of three with line multiplication, instead of cross. So
65 kilometers per hour - 50 minutes
x kilometers per hour - 40 minutes
So
[tex]40x = 65*50[/tex]
[tex]x = \frac{65*50}{40}[/tex]
[tex]x = 81.25[/tex]
He should drive his car at a speed of 81.25 kilometers per hour.
Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
______ cm
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The length (s) of an arc of a circle of radius r and angle θ is ...
s = rθ . . . . where θ is in radians
For your values, the arc length is ...
s = (2.6 cm)(2.5 radians) = 6.5 cm
The length of the subtended arc is 6.5 cm.
At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answer:
33dollors if I'm not mistakin
2 ÷ 24.42 = ?
......
.
....
Answer:
12.21
Step-by-step explanation:
Given f(x)= 5x®, what is the domain? O 5
Answer:
all real numbers (D)
the range is y>= 0 (option B)
Step-by-step explanation:
the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0
hope this helps and you have a very nice day !! :)
I NEED HELP AND QUICK.
Answer:
D (30)
Step-by-step explanation:
PLZ HELP FAST how much will it cost to pump one litre of fuel in to the tank what is the unit rate
Answer:
87 unit rate
Step-by-step explanation:
und frau und
milller
Answer:
87
Step-by-step explanation:
what is 4(5a+b)−9a+3 Simplified
Answer:
11a+4b+3
Step-by-step explanation: