Answer:
The light bulb will consume 600 watts in one day.
Step-by-step explanation:
Let us suppose the light bulb is continuously ON.
As a light bulb consumes 2700 watts an hour in 4 days and 12 hours.
4 days and 12 hours = 96 hours + 12 hours = 108 hours
So, a light bulb consumes 2700 watts in 108 hours.
Hence,
A light bulb consuming the watts per hour will be: 2700/108 = 25 watts
As a light bulb consumes 25 watts in one hour, there are 24 hours in a day.
Light bulb consuming total no of watts in a day = 25 × 24 = 600 watts
Therefore, the light bulb will consume 600 watts in one day.
2ND METHOD
4 days and 12 hours = 4.5 days
Total no of watts cosumed by a light bulb in 4.5 days = 2700 watts
so
Total number watts consumed in a day = 2700 / 4.5 = 600 watts.
Therefore, the light bulb will consume 600 watts in one day
A 25% tip was paid on a $30 meal.what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
If sin tetha=root3/2, what is cos tetha?
Answer:
The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
sin²Ф + cos²Ф = 1sin²Ф = 1 - cos²Фcos²Ф = 1 - sin²Ф∵ sin Ф = [tex]\frac{\sqrt{3}}{2}[/tex]
∴ sin²Ф = [tex](\frac{\sqrt{3}}{2})^{2}[/tex]
∴ sin²Ф = [tex]\frac{3}{4}[/tex]
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - [tex]\frac{3}{4}[/tex]
∴ cos²Ф = [tex]\frac{1}{4}[/tex]
→ Take square root for both sides
∴ cos Ф = ± [tex]\frac{1}{2}[/tex]
∴ The value of cos Ф is ± [tex]\frac{1}{2}[/tex]
HELP HELP
Yesterday,
5
of the 64 students in a contest gave their speeches. How many students gave their speeches?
8
Hannah has a aquarium with 25 Liter of water in it.How many milliliters of water are in the aquarium
Answer:
25000
Step-by-step explanation:
25 * 1000 = 25000
25000 milliliters
Convert 25 liters to milliliters
Which equation represents table 1
Which equation represents table 2
Which equation represents table 3
Which equation represents table 4
Which equation represents table 5
Answer:
1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x
Step-by-step explanation:
Answer:do yo use I’ll need help
Step-by-step explanation:
Heights were measured for a random sample of 10 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 46 centimeters and 7 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 45 centimeters? Use the 0.05 level of significance.
Answer:
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
Step-by-step explanation:
Step( i ):-
Heights were measured for a random sample of 10 plants
Size of the sample 'n' = 10
Mean of the sample (x⁻ ) = 46 centimeters
Standard deviation of the sample (s) = 7 centimeters
Mean of the Population ( μ ) = 45
Step(ii):-
Null Hypothesis :H₀:( μ ) = 45
Alternative Hypothesis : H₁: μ ) ≠ 45
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{46-45}{\frac{7}{\sqrt{10} } }[/tex]
t = 0.452
Degrees of freedom
γ = n-1 = 10 -1 = 9
t₀.₀₅ = 2.2621
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
A band expects to put 16 songs on their next CD. The band writes and records 12.5% more songs than they expect to put on the CD. During the editing process,50 % of the songs are removed. How many songs will there be on the final CD?
The first 3 terms of n+7
Answer:
First 3 terms of the sequence are:
8,9,10
Step-by-step explanation:
The nth term of a sequence is n+7 .
We have to find the first three terms of the sequence
First term(n=1) = 1+7 =8
Second term(n=2) = 2+7 =9
Third term(n=3) = 3+7 =10
Hence, first 3 terms of the sequence are:
8,9,10
What are the coordinates of the point on the directed line segment from
(-6, -10) to (9, 2) that partitions the segment into a ratio of 1 to 2?
Answer:
The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)
Step-by-step explanation:
Given that:
(x1,y1) = (-6,-10)
(x2,y2) = (9,2)
If a point (x,y) divides a line into ratio m:n, the coordinates can be found out by the formula
[tex](x,y) = (\frac{nx_1+mx_2}{m+n} , \frac{ny_1+my_2}{m+n})[/tex]
As given ratio is: 1:2
so m= 1
n = 2
Putting the values in the formula we get
[tex]= (\frac{(2)(-6)+(1)(9)}{1+2} , \frac{(2)(-10)+(1)(2)}{1+2})\\=(\frac{-12+9}{3} , \frac{-20+2}{3})\\=(\frac{-3}{3} , \frac{-18}{3})\\=(-1,-6)[/tex]
Hence,
The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)
How much is 1+1?
A 2
B 1
C 3
D 0
Answer:
2
Step-by-step explanation:
Driving 85 miles in 5/6 of an hour.How many miles per hour?
Which inequality relates BC and XY?
Answer:
BC>XY
Step-by-step explanation:
BCs angle is less than XYs angle
After eating at your favorite restaurant, you know that the bill before tax is
$52.60 and that the sales tax rate is 6%. How much will you pay in taxes for
this meal?
Answer:
$3.16
Step-by-step explanation:
6% x $52.60 = $3.16 (2dp)
Topic: Percentage
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
Select the correct answer. What is the factored form of 24y5 + 3y?? A. 3y2(2y- 1)(4y2 + 2y + 1) B. 3y2(2y + 1)(4y2 - 2y + 1) C. (2y + 1)2(4y2 - 2y+ 1) D. (2y-1)2(4y2 + 2y + 1)
Answer
3y^2\left(2y\:+\:1\right)\left(4y^2\:-\:2y\:+\:1\right)
Step-by-step-explanation
Answer:
I think the answer is b the person who answered may have worded it weird but from trying to read it it looks like b so
Indicate whether the lines are parallel, perpendicular, or neither. Justify your answer. y=52x-3 and 2y= -5x
-4 2x+8y= -24and 48y = -12x-144
2x-7y= -56and 7x+2y=8
Valerie bought a coat at a winter half-price sale. A sales tax of $6.24 was added to the sale price, bringing the cost of the coat to $84.24. Which of the following equations would give the original price ( p ) of the coat?
Answer:
84.24 - 6.24 = p
Step-by-step explanation:
All changes saved
4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250
Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.
How many 1/6 patties be made with 1/2 pound of hamburger meat
Answer:
3
Step-by-step explanation:
(1/2) / (1/6)
(1/2) * (6/1) = 6/2 = 3
what is volume and how is it measured?
Answer: Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. ... Volume is often quantified numerically using the SI derived unit, the cubic metre.
Step-by-step explanation:
SI unit: Cubic metre
Other units: Litre, fluid ounce, gallon, quart, pint, ...
In SI base units: 1 m3
Dimension: L3
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three altitudes of the same triangle
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three perpendicular bisectors of the same triangle.
Answer:
1.[tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
2.[tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
Step-by-step explanation:
A(−3, 0), B(0, 6), and C(4, 6)
using the midpoint formula: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] we can find all of their midpoint which is necessary to complete question 1 and 2
Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)
Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
You would get -6, 6/5, and 6/11.
Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of [tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]
For question 2,
The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by [tex]-\frac{1}{slope}[/tex]. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of [tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]
I hope that helped with your question!! :)
Also I'm an RSM student too and I didn't know how to do them before so I searched it up.
Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options. Triangles A B R and A C R share side A R. Angles A B R and A C R are right angles. Sides A B and A C are congruent. Sides B R and C R are congruent. HL SAS SSS ASA AAS
Answer:
A. HL
B. SAS
C. SSS
May I have brainliest please? :)
The triangles can be proved congruent by HL, SSS, and SAS congruence, the correct option is A, B, and C.
What is a Right Angled Triangle?A right triangle is a triangle in which the measure of one of the angles is 90 degrees.
The triangle given is are triangles ABR and ACR
They share a common side AR
∠ABR = ∠ACR = 90 degree.
AB ≅ AC
BR ≅ CR
The triangles can be proved congruent by,
HL- Height Length congruence for a right-angle triangle
SSS - All the sides are equal and,
SAS - The two sides and the included angle is equal.
Your question seems incomplete, the complete question is attached with the answer.
To know more about Right Angled Triangle
https://brainly.com/question/3770177
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19 × 0.38 =
i need this answer now it is important.
Answer:
7.22
Step-by-step explanation:
Use a calculator
Answer:
19 x 0.38 = 7.22
Step-by-step explanation:
if the number you are multiplying by is smaller than 1, it's always smaller than the beginning number.
May I have brainliest please? :)
Find the slope of the linear function.
Step-by-step explanation:
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Please answer 4x + 10 = 30
Answer:
x=5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+10=30
Step 1: Subtract 10 from both sides.
4x+10−10=30−10
4x=20
Step 2: Divide both sides by 4.
4x /4 = 20/4
x=5
The value of x that satisfies the equation 4x + 10 = 30 is x = 5.
Here,
To solve the equation 4x + 10 = 30,
we want to find the value of x that makes the equation true.
Step 1: Isolate the variable term.
First, we want to get rid of the constant term 10 on the left side of the equation.
We can do this by subtracting 10 from both sides of the equation:
4x + 10 - 10 = 30 - 10
Simplifying:
4x = 20
Step 2: Solve for x.
Next, we want to isolate the variable x on one side of the equation.
Since 4 is multiplied by x, we can undo this by dividing both sides of the equation by 4:
4x / 4 = 20 / 4
Simplifying:
x = 5
Step 3: Check the solution.
To verify that our solution is correct, we can substitute the value of x back into the original equation:
4x + 10 = 30
Substitute x = 5:
4(5) + 10 = 30
Simplifying:
20 + 10 = 30
30 = 30
Since both sides are equal, our solution x = 5 is correct.
Therefore, the value of x that satisfies the equation 4x + 10 = 30 is x = 5.
To learn more on equation click:
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Need help please I dont understand!
Answer:
Third option is the correct answer
Step-by-step explanation:
[tex] f(x) = 2x^2 - 4x[/tex] is the correct answer.
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
Answer:
£1.44
Step-by-step explanation:
11.52/8=1.44
:)
Answer:
I think the answer is $1.44 each necklaces
Step-by-step explanation:
We know the total amount is $11.52 and there were 8 candy necklaces, so you divide 11.52 by 8 and that gives you 1.44
How do you find
the rate of change of a function?
Answer:
xfghzfgfrxeshixeah
Step-by-step explanation:
LG's SSL looks sl lid
ffffddfrgrghhhhhhmedeeeeffff
What is the solution for x in the equation? -4 + 5x - 7 = 10 + 3x - 2
Answer:
x = 9.5
x = 9 1/2
x = 19/2
All answers are the same, just different ways of denoting it.
Step-by-step explanation:
-4 + 5x - 7 = 10 + 3x - 2
Simplify both sides, by combining like terms
-4 + 5x - 7 = 10 + 3x - 2
-11 + 5x = 8 + 3x
Inverse operations
-11 + 5x = 8 + 3x
+11 +11
5x = 19 + 3x
-3x -3x
2x = 19
/2 /2
x = 9.5
HELP ME OUT REAL FAST WITH THE CORRECT ANSWER WILL MAKE BRAINLIST
Answer:
1
Step-by-step explanation:
Answer:
B. 1
Step-by-step explanation:
The quotient will have 1 decimal place because one of the numbers in the calculation has one decimal place, and the answer is only allowed to be as exact as the numbers used in the equation.
To make sure the answer is correct, we can do the math:
170.8/14 = 12.2
12.2 only has one decimal place, so answer choice B is correct.
Hope this helps :)