1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.
2. The amount of energy used in the house for the month is 731.634 KWh.
3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.
1. The rate of consumption of energy is measured in kilowatt-hour.
In the given question,
12 cent is paid per kilowatt-hour.
60 watts of light for 1 hour = 0.06 KWh
3 light bulbs of 60 Watts each for 1 hour = 3 x 0.06
= 0.18 KWh
But,
30 days = 30 x 24 hours
= 1440 hours
The total energy consumed for the month = 1440 x 0.18
= 259.20 KWh
The total cost for the month = 0.12 x 259.20
= $31.104
Thus, the total cost for the month is $31.104.
2. Charge per kilowatt-hour = $0.11
Total power bill = $80.48
So that,
Total cost on bill = amount charge per kilowatt x total energy consumed in KWh
Which implies;
$80.48 = $0.11 x total energy consumed in KWh
total energy consumed = [tex]\frac{80.48}{0.11}[/tex]
= 731.634 KWh
Therefore, the amount of energy used in the house for the month is 731.634 KWh.
3. Each length of the two end pieces = 2.6 feet each
Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;
the length of the remaining piece = 2.6 + 0.86
= 3.46
The length of the remaining piece = 3.46 feet
The length of the board to buy = 2.6 + 2.6 + 3.46
= 8.66
Thus, the length of the board to buy is 8.70 feet.
Related link: 1, 2. https://brainly.com/question/13988193
3. https://brainly.com/question/16046083
WILL GIVE BRAINLIEST PLS HELP
Answer:
Hello
Step-by-step explanation:
[tex]y=2x^2-12x+19\\=2(x^2-6x)+19\\=2(x^2-2*3*x+9)+19-18\\=2(x-3)^2+1\\\\Vertex\ is\ (3,1)\\\\Axis\ of\ symmetry\ is\ x=3\\\\y-intercept\ is \\\\y=2(0-3)^2+1=19\\[/tex]
HELPP!! ASAPPP!! PLEASEE
Answer:
The right option is definitely the first one
Hope this helps
Geometry, please answer question ASAP
Answer:
C.
Step-by-step explanation:
A concave polygon must have atleast an internal angle which is greater than other angles.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
Which of the following characteristics best describes the given function of f(x) = -2 ?
A) quadratic function
B) linear function, always increasing
C) linear, constant function
D) linear function, always decreasing
Answer:
C
Step-by-step explanation:
it is a constant function
PLS HELP ME FAST PLS !!!!!!!!!!!
Answer:
The Answer is P = (-2.5 , 1 )
Step-by-step explanation:
Let, the point is P(x,y)
then, [tex]x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}[/tex]
=>[tex]x=\frac{5*(-1)+ 3*(-5)}{5+3}[/tex]
∴[tex]x=-2.5[/tex]
Again, [tex]y=\frac{m_{1}y_{2}+ m_{2}y_{1}}{m_{1}+m_{2}}[/tex]
=>[tex]y=\frac{5*7+ 3*(-9)}{5+3}[/tex]
∴[tex]y=1[/tex]
Thus, P = (-2.5 , 1 )
The HCF of a and b is 1 find LCF of them
Answer:
The HCF of two numbers a and b is 1 What is their LCM
If HCF (a,b) = 1 then the LCM =ab
Step-by-step explanation:
The HCF of a and b is 1
here, as no common term can be found.
therefore, L.C.M = a×b or (ab)
how to solve 2x+5/6=x/18
3a + 2 = 20
5(b+1) = 10
3 (2y - 3) - 2y = y-3
2+ (2+4p) =6p
Please answer these questions with steps please!
Find the value of x. Round your answer to the nearest tenth.
7
sin 330
IX
Step-by-step explanation:
first u should write value of sin 330
sin 330 =-12
the nearest tenth 7 ×-12
HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12)
The combined radical is: [tex]- 26\sqrt{3}[/tex]
The radical is given as:
[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]
We start by expressing 12 as 4 * 3
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]
Split the radical
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]
Take square root of 4
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]
Combine like terms
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]
Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]
Read more about surd radicals at:
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after allowing 20% discount an article is sold for rs.672 levying 12% VAT, find its market price
The market price is Rs. 750 which was obtained by creating a mathematical relationship from the given parameters.
PERCENTAGE DISCOUNT = 20%
VAT LEVIED= 12%
PRICE SOLD = 672
Let the MARKET PRICE = m
Hence,
market price * (1 - discount) * (1 + VAT) = price sold
m * (1 - 20%) * (1 + 12%) = 672
m * (1 - 0.2) * (1 + 0.12) = 672
m * 0.8 * 1.12 = 672
0.896m = 672
m = 672 / 0.896
m = Rs. 750
Learn more :
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The Market Price of the product is RS. 750.
The Market Price is calculated by dividing the components associated to Discount, which is less than 1, and the Value Added Tax, which more than 1, to the Resulting Price.
[tex]c_{M} = \frac{c_{R}}{\left(1-\frac{r_{D}}{100} \right)\cdot \left(1+\frac{r_{T}}{100} \right)}[/tex] (1)
Where:
[tex]c_{M}[/tex] - Market price, in monetary units.
[tex]c_{R}[/tex] - Resulting price, in monetary units.
[tex]r_{D}[/tex] - Discount rate, in percentage.
[tex]r_{T}[/tex] - Tax rate, in percentage.
If we know that [tex]c_{R} = 672[/tex], [tex]r_{D} = 20[/tex] and [tex]r_{T} = 12[/tex], then the market price is:
[tex]c_{M} = \frac{672}{\left(1-\frac{20}{100} \right)\cdot \left(1+\frac{12}{100} \right)}[/tex]
[tex]c_{M} = 750[/tex]
The market price of the product is RS. 750.
the Marked price of a computer is rupees 30000 if it is sold after 20 percent discount and then 30% bat is levied on it find the price of the computer including vat.
if u don't know don't answer otherwise I will report u
Answer:
31200
Step-by-step explanation:
First, the starting price is 30000. We then must find the value after a 20% discount is applied. To do this, we can first convert 20% into a decimal value. That can be obtained by multiplying the percent by 1/100, so 20% * 1/100 = 0.2 . Therefore, the discount is 30000 * 0.2 = 6000 . Discounts work by subtracting the discount from the market price to get the final value, so we have
30000 - 6000 = 24000 as the value before tax.
Then, we can include the VAT, which is 30% of our new price. 30% as a decimal is 30 * 1/100 = 0.3, so we can find the tax of our product as 0.3 * 24000 = 7200. Taxes work by adding the taxed value on top of the price, so we can add 7200 to the value before tax to get 31200 as the final price including VAT
Find the measure of b.
Answer:
b = 55°
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended by the same arc, then
a = 0.5 × 110° = 55°
Angles on the circumference subtended by the same arc are congruent, so
b = a = 55°
7t + 6 + 3v + 6v
Hey can someone help ne
Answer:
7t + 6 + 9v
Step-by-step explanation:
7t + 6 + 3v + 6v (since 3v and 6v are like terms you will add them both.)
7t + 6 + 9v
Hope this helps, thank you :) !!
Answer:
7t+6+9v
Step-by-step explanation:
7t+6+3v+6v
7t has no opponent it is =7t
6 is on it own =6
3v+6v=9v,reason is 3v has an opponent which is 6v so addition of 3v and 6v is =9v
so ur ans. is =7t+6+9v
Determine the domain of the function.
a All real number except 11
b x > 11
c All real numbers
d x < 11
Answer:
i think its all real numbers
Step-by-step explanation:
i think!! im not so sure
Question 15
Last season Derek Jeter had 500 at bats and got 160 hits. What was Jeter's batting average?
Answer:
3.125 was Jeter's batting average
Step-by-Step Explanation:
Just divide his bat number with the total hits
So, ---> 500 at bats / 160 hits
500/160 = 3.125
2π(a-r)(a+r)+4 = 52π
Can someone solve this pleaseeeee
Answer:
a²-r²= 22
Step-by-step explanation:
2π(a-r)(a+r)+4 = 52π
=> 2π(a²-r²)+4= 52π
=> (a²-r²)+4 = 52π/2π
=> (a²-r²)+4 = 26
=> (a²-r²)= 26-4
=> a²-r²= 22
[tex]\sf{}[/tex]
Answer:
=> a²-r²= 22
Step-by-step explanation:
2π(a-r)(a+r)+4 = 52
=> 2π(a²-r²)+4= 52π
=> (a²-r²)+4 = 52π/2π
=> (a²-r²)+4 = 26
=> (a²-r²)= 26-4
=> a²-r²= 22
Which of the following is true about these similar triangles?
A. AB/BC = DE/DF
B. AB/BC = DE/EF
C. AB/BC = BC/DF
D/ AB/BC = BC/AB
Answer:
B
Step-by-step explanation:
You have to match up the corresponding sides in the 2 triangles
The sides you have to find are AB/BC
The side that corresponds to AB in triangle DEF is DE
The side that corresponds to BC is EF
A father's age now is three times the age that his son was 4 years ago. In 12 years, the father will be twice as old as his son. find their ages now.
Answer:
In this problem, we can assign X to the son’s age and Y to the father’s.
We know that a father is 3 times as old as his son.
Therefore, we can create the equation 3X=Y.
We must now create a second equation from the remaining information, being “In 12 years he will be twice as old as his son”. We know we can add 12 years, along with including 2X in the equation.
The equation that we can gather from this second piece of information will be Y=2X+12. This is because the father’s age, in 12 year’s time, will be twice that of the child.
Now we have our two equations:
Y=3X
Y=2X+12
Because both equations are set equal to the age of the father, we can use the substitution method to solve in terms of the son’s age, as follows:
3X = 2X+12
Now we subtract 2X from each side to isolate the variable:
X=12
The son’s age is therefore 12 years old. Should we plug that age back into our first equation, we get Y=3(12) or Y=36.
The father’s present age is 36, while the son’s present age is 12.
The current age of the father is 12, while the age of the son is 0.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let say,
X = age of sun
Y = age of father
Given that
A father's age now is three times the age that his son was 4 years ago
So,
Y = 3(X -4)
Y = 3X - 12
And In 12 years, the father will be twice as old as his son
Y + 12 = 2( X + 12 )
Y = 2X - 12
From booth equation
X = 0 and Y = -12 which is not practical so Y =12
For more about equation
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Which is the equation of a parabola with Vertex (0,0) and focus (0, 2)?
a. ya = 8x
c. x2 = 8
b. y2 = 4x
d. x2 = 4y
Answer:
So the equation of the parabola is x2=8y i don't really know
The sales tax in a major city is 8%. Find the total cost, including the tax charged on a purchase of $600.
Answer:
Step-by-step explanation:none
Answer: $648
Step-by-step explanation:
A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets of three groups can be made?
Please help…
Answer:
1 set of three groups can be made.
Step-by-step explanation:
With a total of 9 players split into 3 groups, set up an equation:
9 players ÷ 3 groups = 3 players per group
Careful with the question wording:
How many different sets of three groups can be made. only 1 set of three groups can be made.
What is the image point of (5, 1) after a translation right 5 units and down 2 units?
Submit Answer
PLS HELP ASAP
Answer:
(10,-1)
Step-by-step explanation:
A translation to the right is (x+5)
A translation down 2 is (y-2)
(5+5, 1-2)
(10,-1)
Answer:
(10, - 1 )
Step-by-step explanation:
A translation right 5 units means add 5 to the x- coordinate
A translation down 2 units means subtract 2 from the y- coordinate
(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )
1. Is the figure defined by points H, I, J, and Ka rhombus?
Answer: No
Step-by-step explanation:
Because in a rhombus all sides are equal.
In this opposite sides are equal and not all sides.
please click thanks and mark brainliest if you like :)
Answer:
no
Step-by-step explanation:
the definition of a rhombus is a quadrilateral with 4 equal sides so we just have to either prove all the sides are equal or that two or more sides are not equal.
to do this use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
HI=5 (it's a horizontal line so it's just |-8-(-3)|=5HK=[tex]\sqrt{(-8+9)^2+(8-2)^2}[/tex]=[tex]\sqrt{1+36}[/tex]=[tex]\sqrt{37}[/tex] it isn't equalHIJK is a parallelogram but not a rhombus
what are 5 expressions that are equivalent to 12x4 exponent
Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression
Please answer this
simplify too
Answer:
x^2-3x
pls mark me brainliest
Step-by-step explanation:
4x(x+2)-x(3x+5)
4x^2+8x-3x^2-5x
x^2-3x
Help anyone can help me do this question 3,I will mark brainlest.
Answer:
see explanation
Step-by-step explanation:
Calculate the slopes between pairs of the 3 points using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)
m = [tex]\frac{9-3}{-3-(-9)}[/tex] = [tex]\frac{6}{-3+9}[/tex] = [tex]\frac{6}{6}[/tex] = 1
Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)
m = [tex]\frac{9-1}{-3-5}[/tex] = [tex]\frac{8}{-8}[/tex] = - 1
If lines are perpendicular then the product of their slopes = - 1 , then
1 × - 1 = -1
Thus there is a right angle between the 2 lines
Then triangle is right- angled
In ATUV, Y is the centroid. If TY = 30, what is YW?
A.15
B.45
C.30
D.60
We know at centroid medians bisect each other in the ratio 2:1.
TY=30Let YW be x[tex]\\ \sf\longmapsto TY=2x[/tex]
[tex]\\ \sf\longmapsto 2x=30[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
Answer:
A
Step-by-step explanation:
On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then
YW = [tex]\frac{1}{2}[/tex] × TY = [tex]\frac{1}{2}[/tex] × 30 = 15
Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.
Use the graph to answer the questions.
Who is at the trail start at 9:00 a.m.?
✔ Andy
Who runs fastest?
When do Andy and Berta cross paths?
✔ 9:08 a.m.
Who is closest to the 1.5 mile mark after 6 minutes?
Berta
Answer:
Who is at the trail start at 9:00 a.m.?
Andy
Who runs fastest?
When do Andy and Berta cross paths?
9:08 a.m.
Who is closest to the 1.5 mile mark after 6 minutes?
Berta
Step-by-step explanation:
Answer: Andy, Caedin, 9:08 A.M. and Berta!
Step-by-step explanation: On Edge!!!!
write 9/10 as a percentage
Answer:
90%
Step-by-step explanation:
Percent means out of 100
9/10 *10/10
90/100
90%
