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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Prove which of the following side lengths represents a right triangle?
A 3, 5, 8
B 9, 12, 15
C 3, 4, √14
D 1, 2, 3
Help plz
(-4 + 3i)(-12 + 6i)
Simplify expression
Answer:
=30−60i
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
what kind of figurative language is stanza 86?
86. Is heard the tramp of his steed as he rides.
All you need is on the photo
Answer:
a = 2
b = 3
c = -20
Step-by-step explanation:
5, 80, 1280, 20480, 327680, ...
Answer:
It's multiplying by 16 every time... so the next answer is 5242880
Step-by-step explanation:
327680 x 16 = 5242880
Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto
Answer: x boletos de adulto
2x boletos de estudiante
x+2x=288
3x=288
x=288/3
x=96
adulto =96
estudiante 2*96=192
96+192=288
Step-by-step explanation: 96 y 192
order these number (smallest to largest)
35.6 0.356 35.63 3.65 356.06 356.6
Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation:
please help meeeeeeeeeeesssssssssssss
Answer:
384 cm^3
Step-by-step explanation:
(16 times 4) times 6 = 384 :D
write 134 in decimals
Answer:
1.34
Step-by-step explanation:
what are the zeroz of f ? HELPP‼️‼️‼️‼️
Answer:
HEYY OK SO THE ANSWER IS D
Step-by-step explanation:
1/3 AND 3/2
In an aquarium, there are 15 clownfish and 30 starfish. What is the ratio of starfish to clownfish?
Answer:
1:2
Step-by-step explanation:
1 clownfish for every 2 starfish.
Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches
Answer:
C. 8 inchesStep-by-step explanation:
Note. The original question is attached.
Solution:
Scale factor is 1/2 and the corresponding side has a length of 16 inches.
The value of x is:
x = 1/2*16 = 8 inchesCorrect option is C
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
38 is what percent of 84 (to the nearest percent)?
Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
Answer:
45%
Step-by-step explanation:
84÷100=0.84
38÷0.84=45.24 rounded that is 45%
Exercise 1.6.3: Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square..
Answer:
a) Эx ∈ R ⊇ x³ = 2
b) ∀x ∈ R, x² ≥ 0
c) Эx ∈ R ⊇ x³ = x
d) ∀x ∈ R, x ≤ x²
Step-by-step explanation:
Given the data in the question;
let us first go through some symbols and their possible meanings;
Э ⇒ there exists
∀ ⇒ for all
∈ ⇒ belongs to or set membership or element of the set
⊇ ⇒ such that
now;
a) There is a number whose cube is equal to 2
let x represent the number; so
Эx ∈ R ⊇ x³ = 2
b) The square of every number is at least 0
x² ≥ 0, ∀x ∈ R
∀x ∈ R, x² ≥ 0
c) There is a number that is equal to its square
Эx ∈ R ⊇ x³ = x
d) Every number is less than or equal to its square.
x ≤ x², ∀x ∈ R
∀x ∈ R, x ≤ x²
What percent of 75 is 21?
Simplify 42/56 i am gonna need to show work so i dont fail
Answer:
42/56 = 3/4
Step-by-step explanation:
Answer:
The simplified fraction is [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Simplifying Fractions
A given fraction [tex]\frac{a}{b}[/tex] can be simplified if a and b have common factors, i.e. if they can be evenly divided by at least one equal number.
The fraction is:
[tex]\frac{42}{56}[/tex]
We'll simplify it by 2 since both numbers are even:
[tex]\frac{42}{56}=\frac{21}{28}[/tex]
The next prime common factor is 7. Dividing by 7:
[tex]\frac{42}{56}=\frac{21}{28}=\frac{3}{4}[/tex]
Thus, the simplified fraction is [tex]\frac{3}{4}[/tex]
What is the perimeter of the triangle
Answer:
perimeter=sum of all side=2x-5+(-7x+8)+3x=2x-5-7x+8+3x=3-2x
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
O (-3,-0.90)
O(-2.5, -0.75)
O(4.5, 1.35)
O (8, 2.40)
I need the answer mate
Answer:
d
Step-by-step explanation:
The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.
We can check each ordered pair given to see if it satisfies this equation:
For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.
This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.
For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.
Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.
For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.
This satisfies the equation and the fee is positive, so this is a viable solution.
For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.
This satisfies the equation and the fee is positive, so this is also a viable solution.
Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).
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I need help on this iready question
Answer:
the sun and the dream
Step-by-step explanation:
because in dreams you can see the sun
A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
4^3/2-2^3*6+8(-1)^10
Answer:
-24
Step-by-step explanation:
What is the area of Rectangle PQRS in the xy-coordinate plane below?
Answer:
Area of Rectangle PQRS = 12
Step-by-step explanation:
P.S - The exact question is -
Given -
P = (2, 2)
Q = (6, 2)
R = (6, 5)
S = (2, 5)
The graph is as follows :
As we know that Area of Rectangle = Length × Breadth
Here Length of Rectangle = PQ
Breadth of Rectangle = PS
⇒ Area of Rectangle PQRS = PQ×PS = 4×3 = 12
Solve the inequality
Answer: Hi there, the answer should be the third option v < -8.
The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.
Answer:
the answer would be 49
Step-by-step explanation:
they need to sell 49 to get their money back and make the 400 dollar goal
The measure of angle MPO is 72 degrees, find the measure of angle PMN
Answer:
Where is the picture?
Step-by-step explanation:
N/A
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
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Please help this is the last question I need I don't get it
400 hope this helps!
May I have brainliest please? :D
A magazine publisher is informed that 72% of subscribers last year did not renew their subscriptions. This publisher wants to randomly survey 8% of these past subscribers asking the reason why they did not renew their subscriptions. All of last year's subscribers who did not renew their subscriptions are known collectively as what
Answer:
Sampling frame
Explanation:
A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.
Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy
Answer:
The large sample n = 117.07
Step-by-step explanation:
Step(i):-
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
Step(ii):-
The Marginal error is determined by
M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]
√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]
squaring on both sides , we get
n = 117.07
Final answer:-
The large sample n = 117.07
