1. Daily cost of keeping the bulb lit for 5 hours is 5 cents.
2. Switching to an LED bulb could save $13.50 in a year.
What is costs of running a 100-watt light bulb?Power consumed by the 100-watt bulb in 5 hours is:
= 100 watts x 5 hours
= 500 watt-hours
= 0.5 kilowatt-hours
The cost of electricity for 0.5 kilowatt-hours at a rate of 10 cents per kilowatt-hour is:
= 0.5 kWh x 10 cents/kWh
= 5 cents
b. The power consumed by the 26-watt LED bulb over 5 hours is:
= 26 watts x 5 hours
= 130 watt-hours
= 0.13 kilowatt-hours
The cost of electricity for 0.13 kilowatt-hours at a rate of 10 cents per kilowatt-hour is:
= 0.13 kWh x 10 cents/kWh
= 1.3 cents
Annual savings is:
= (Daily cost 100-watt bulb - Daily cost LED bulb) * 365 days
= (5 cents - 1.3 cents) x 365 days
= $13.50.
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There are 200 kids in the 7th grade at smith middle school. If 25% of them purchase a school t-shirt that costs $20, how much money did the 7th grade spend on t-shirts?
Answer:
$1,000.
Step-by-step explanation:
200 kids divided by 25% or 4 = 50 then 50 x 20 = 1,000.
Is y = 2x^3+5 a linear function
Answer:
No
Step-by-step explanation:
No, y = 2x^3 + 5 is not a linear function. A linear function is a function that can be written in the form y = mx + b, where m and b are constants and x is the independent variable.
In the function y = 2x^3 + 5, we have a cubic term (x^3), which means that the function is not linear. The graph of a cubic function will have a curved shape, unlike a linear function, which will always be a straight line.
how to get the greatest common factor of 152,171 and 57
To find the greatest common factor (GCF) of three numbers, you can use the prime factorization method:
1. Find the prime factorization of each number:
- 152 = 2^3 * 19
- 171 = 3 * 3 * 19
- 57 = 3 * 19
2. Identify the common prime factors: 19 is the only common prime factor.
3. Multiply the common prime factors together: 19.
Therefore, the greatest common factor of 152, 171 and 57 is 19.
what fractional part of 70 is 28
The fractional part of 70/28 is 35/14 i.e., 2.5
Percentage:
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100
28 of 70 can be written as:
=> [tex]\frac{28}{70}[/tex]
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
[tex]\frac{28}{70}[/tex] × [tex]\frac{100}{100}[/tex]
=> (28 × 100) /70 ×[tex]\frac{1}{100}[/tex]
=> 40/100
Therefore, the answer is 40%
The fractional part of 70/28 is 35/14 i.e., 2.5
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Helpppp this is for geometry
The correct statements regarding the transformations are given as follows:
FG and F'G' have the same length.<G and <G' have the same measure.What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.For the transformation 1, we have a reflection, which keeps both the side lengths and the angle measure constant, just changing the orientation of the figure.
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1. Lana completed 22 of the puzzles in
her puzzle book. There are 10 puzzles
remaining. What percent of the puzzle
has she completed?
Answer:
Lana has completed 22 out of 32 puzzles in her book. To find the percentage of the puzzle she has completed, divide the number of puzzles she has completed by the total number of puzzles in the book and multiply by 100.
22/32 x 100 = 68.75%
Lana has completed 68.75% of the puzzles in her book.
Answer:
Lana has completed 68.75% of the puzzles in her puzzle book.
Step-by-step explanation:
Lana has completed a total of 22 puzzles and there are 10 puzzles remaining, so the total number of puzzles in the book is:22 + 10 = 32To find the percentage of puzzles Lana has completed, we can use the following formula:percentage = (completed puzzles / total puzzles) x 100%Substituting the values, we get:percentage = (22 / 32) x 100%
percentage = 0.6875 x 100%
percentage = 68.75%Therefore, Lana has completed 68.75% of the puzzles in her puzzle book.
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
PLEASE HELP Polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3). Determine the image vertices of K′L′M′N′ if the preimage is rotated 270° clockwise.
K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)
K′(0, 0), L′(−2, −5), M′(−5, 5), N′(−3, 0)
K′(0, 0), L′(−5, −2), M′(5, −5), N′(3, 0)
K′(0, 0), L′(−5, −2), M′(−5, −5), N′(0, 3)
Answer:
K′(0, 0), L′(−2, 5), M′(5, 5), N′(−3, 0)
Step-by-step explanation:
To rotate a point $(x,y)$ by $270^{\circ}$ clockwise, we first swap the $x$ and $y$ coordinates and then negate the new $y$ coordinate.
Using this, we can find the image vertices of the given polygon as follows:
For vertex K(0, 0), we have $(0,0) \rightarrow (0,0)$. So K′ is at the origin.
For vertex L(5, 2), we have $(5,2) \rightarrow (2,-5)$. So L′ is at (-2, 5).
For vertex M(5, -5), we have $(5,-5) \rightarrow (5,5)$. So M′ is at (5, 5).
For vertex N(0, -3), we have $(0,-3) \rightarrow (-3,0)$. So N′ is at (-3, 0).
Therefore, the image vertices of the polygon KLMN after a $270^{\circ}$ clockwise rotation are K′(0, 0), L′(−2, 5), M′(5, 5), and N′(−3, 0).
Thus, the correct option is:
K′(0, 0), L′(−2, 5), M′(5, 5), N′(−3, 0)
A car is driving on a road with a velocity of 20 − 10t miles per hour,
where t is the time in hours since the car started driving. What is the total distance
travelled by the car between times t = 0 and t = 3? Show work.
a. 5mi
b. 10mi
c. 15mi
d. 20mi
e. 25mi
The total distance traveled by the car between t = 0 and t = 3 is given as follows:
c. 15 mi.
How to obtain the total distance?The velocity function is given as follows:
v(t) = 20 - 10t.
The distance function is the integral of the velocity function, hence it is given as follows:
d(t) = 20t - 5t².
The distance at t = 0 is given as follows:
d(0) = 20(0) - 5(0)²
d(0) = 0.
The distance at t = 3 is given as follows:
d(3) = 20(3) - 5(3)²
d(3) = 15.
Hence the total distance is given as follows:
15 - 0 = 15 mi.
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jashon will spin this spinner 150 times how many times should he expect to land on a 3
Okay, let's break this down step-by-step:
* The spinner has 5 equal sections, numbered 1 through 5.
* Each section represents a 1 in 5 chance of landing on a particular number.
* The spinner has a 3 section.
* Jashon will spin the spinner 150 times.
So, to calculate the expected number of times a 3 will come up:
* There is 1 section for the number 3 out of the 5 total sections.
* So the probability of landing on the 3 section is 1/5 = 0.2
* In 150 spins, the probability of landing on 3 will be 0.2 multiplied by 150 spins.
* So 0.2 * 150 = 30
Therefore, if Jashon spins the spinner 150 times, he can expect the number 3 to come up approximately 30 times.
Let me know if you have any other questions!
Graph the function f(x)=3x2–6x+2.
Plot the vertex. Then plot another point on the parabola
The graph of the function f(x) with vertex (1, 2) and another point (0, 2) is shown below.
Consider a function f(x) = 3x² - 6x + 2
We know that the graph of quadratic function is a parabola.
We graph the function f(x)
The graph of function f(x) is shown below.
From the graph of f(x), we can observe that the vertex of parabola is (1, 2)
For x = 0 the value of the function f(x) would be,
f(x) = 3x² - 6x + 2
f(0) = 3(0)² - 6(0) + 2
f(0) = 0 - 0 + 2
f(0) = 2
This means that the y-intercept of f(x) is (0, 2)
Therefore, the reuired graph of the function f(x) is shown below.
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after the school carnival there were 20 apples left over eight students shared these apples equally how many apples did each student receive
Answer:
They would have gotten 2 full apples each. There would be 4 left over. If they decided to split those 4 apples, they would have gotten 2 1/2 apples each.
Step-by-step explanation:
20 ÷ 8 = 16 R 4
16 ÷ 8 = 2 (the full apples they got each_)
4 x 2 = 8 (split the 4 apples in half to make 8)
Therefore, each student would have gotten 2 full apples and 1/2 of an apple.
The product of p is and -8 is less than 24
The statement The product of p is and -8 is less than 24 as an expression is -8p < 24
Writing the statement as an expression
From the question, we have the following parameters that can be used in our computation:
The statement represented as
The product of p is and -8 is less than 24
Less than is represented using the symbol <
So, we have
The product of p is and -8 is less than 24: The product of p is and -8 is < 24
Represent products as *
So, we have
The product of p is and -8 is less than 24: -8p < 24
Hence, the expression is -8p < 24
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What fraction does each part represent? Drag the tiles to make a fraction that represents each part of Alexi's circle. 1 2 5 6 8
Answer:
To represent each part of Alexi's circle as a fraction, we need to determine the total number of parts in the circle and the number of parts represented by each tile.
Adding up the number of tiles, we get:
1 + 2 + 5 + 6 + 8 = 22
So there are a total of 22 parts in Alexi's circle.
To find the fraction represented by each tile, we can divide the number of parts represented by the tile by the total number of parts in the circle.
Starting with the first tile, which represents 1 part, the fraction it represents is:
1/22
Moving to the second tile, which represents 2 parts, the fraction it represents is:
2/22 = 1/11
Continuing in the same way for the remaining tiles, we get:
The tile representing 5 parts represents the fraction 5/22The tile representing 6 parts represents the fraction 6/22, which simplifies to 3/11The tile representing 8 parts represents the fraction 8/22, which simplifies to 4/11So the fractions represented by each part of Alexi's circle are
1/221/115/223/114/11Need help don’t get it
Answer:
[tex] \frac{210}{360} = \frac{7}{12} [/tex]
This figure represents 7/12 of the circle.
What's the next form?
Answer:
I think it's 3
Step-by-step explanation:
it's skipping 2 after every three
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
PLS HELP ME RNNNNNNNNN
i) There is no solution for x when y<0.
ii) When y>0, the solutions for x are x=4 and x=0.
iii) When y=0, the solutions for x are x=4 and x=0
To use a graph to find the value of x for the given values of y in the equation y=-|x-2|+2, we can follow these steps:
i) When y<0:
The graph of y=-|x-2|+2 is below the x-axis when y<0. Therefore, there is no solution for x when y<0, because there is no point on the graph that has a negative y-coordinate.
ii) When y>0:
The graph of y=-|x-2|+2 intersects the x-axis at two points when y>0. To find the x-coordinates of these points, we can set y=0 in the equation y=-|x-2|+2 and solve for x, as shown in the previous answer.
The x-intercepts are at (4,0) and (0,0), which means that the graph crosses the x-axis at x=4 and x=0 when y>0.
iii) When y=0:
To find the x-coordinate(s) of the point(s) where the graph intersects the x-axis (i.e., where y=0), we can look at the x-intercepts that we found in part ii) above. The x-coordinate(s) of the point(s) where the graph intersects the x-axis are x=4 and x=0, so the solutions for x when y=0 are x=4 and x=0.
Therefore, i) There is no solution for x when y<0.
ii) When y>0, the solutions for x are x=4 and x=0.
iii) When y=0, the solutions for x are x=4 and x=0 (the x-intercepts).
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Find a quadratic equation which has solutions x=9+9square root of 13and x=9-9square roof of 13. Write the quadratic form in the simplest standard form x^2+bx+c
We can write the quadratic in standard form as:
y = x² -18x - 1053
How to find the quadratic equation?For a quadratic equation whose solutions are:
x = x₁
x = x₂
We can write it as:
y = (x - x₁)*(x - x₂)
Here the solutions are:
x = 9 + 9√13
x = 9 - 9√13
Then we can write the quadratic as:
y = (x - 9 - 9√13)*(x - 9 + 9√13)
Expanding that:
y = x² -18x - 81*13
y = x² -18x - 1053
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2 Construct an x chart. Answer the questions associated with each given data set.
The overall mean of data set is 49.57. Option D
How do we find the over all mean of a data set?The overall mean is all the sums of the means divided by the total number of set in the table.
All the mean in the table are 42. 75 + 51. 75 + 50.00 + 49.50 + 51.25 + 47.25 + 50.75 + 47.75 + 56.50 + 47.50 + 38.75 + 49.25 + 57.00 + 48.75 + 54.75 = 743.5
We see that there are 15 data set.
mean = 743.5/ 15
Overall mean = 49.57
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x − 9 ≥ −6
solve the inequality
Answer: x ≥ 3
Step-by-step explanation:
in the diagram at the right, the length of a square is (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded regions, in square units?
[tex] {(3x + 7)}^{2} - ((2x + 5) \times x) [/tex]
[tex] = 7 {x}^{2} - 5x + 49[/tex]
Which one of these tables are proportional? Show your work.
Answer:
Table B is proportional since y = 1.5x:
4.5 ÷ 3 = 1.5
7.5 ÷ 5 = 1.5
10.5 ÷ 7 = 1.5
This is for the following two questions.
A couple plans to retire in 35 years. At that time, they would like to have enough money in an account so that they can receive a $6,000 every month end for the next 25 years. The account earns 8% APR compounded monthly and will continue to do so until there is a zero balance in the account.
To achieve this goal, how much money does the couple need to have in this account by the time they retire?
If they have not saved any money yet, how much does the couple need to deposit each month end until they retire?
The couple needs to deposit about $554.49 each month end until they retire to reach their goal.
How to solveTo find the monthly deposit needed, we'll use the future value of an ordinary annuity formula:
FV = PMT * [((1 + r)^n - 1) / r]
We already know the future value (FV) as $953,776.53, and we want to solve for PMT, the monthly deposit:
PMT = FV / [((1 + r)^n - 1) / r]
We'll use the same r (0.08/12) and a new n (35 * 12) for the 35 years until retirement:
PMT = 953776.53 / [((1 + 0.08/12)^(35*12) - 1) / (0.08/12)]
PMT ≈ 554.49
Thus, the couple needs to deposit about $554.49 each month end until they retire to reach their goal.
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Write an equation then find the value of y when x =16. Show all work.
The equation can be y = 3x + 7, evaluating it in x = 16 we will get:
y = 55
How to write and evaluate an equation?We can write a linear equation, which is the simplest type of equations.
For example, let's define:
y = 3x + 7
Now the evaluation.
We want to find the value of y when x = 16. To do so, we need to evaluate the equation in x = 16, that means replacing the variable x by the number, then we will get.
y = 3*16 + 7
y = 55
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In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a dog given that they have a cat?
The probability that a student has a dog given that they have a cat is 2/5.
To find the probability that a student has a dog given that they have a cat, we need to use conditional probability. We can use the formula:
P(Dog | Cat) = P(Dog and Cat) / P(Cat)
where P(Dog and Cat) is the probability that a student has both a dog and a cat, and P(Cat) is the probability that a student has a cat.
From the given data table, we can see that there are a total of 25 students in the class, and 15 of them have a cat. Of the 15 students with a cat, 6 also have a dog. Therefore, P(Dog and Cat) = 6/25 and P(Cat) = 15/25.
Substituting these values into the formula, we get:
P(Dog | Cat) = (6/25) / (15/25) = 6/15 = 2/5
Therefore, the probability that a student has a dog given that they have a cat is 2/5 or 0.4.
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7cm=_____ m
Customary metric units
Answer:
7 cm is equal to 0.07 m.
To convert centimeters to meters, you need to divide the number of centimeters by 100, since there are 100 centimeters in a meter.
So, 7 cm / 100 = 0.07 m.
Chris and Monique have equal-sized cookie cakes
cut into 8 equal slices. Chris gave away
3 slices Monique gave away 4 slices. Select
numbers and symbols from the box to write a
comparison for the fractions of cake Chris and
Monique each gave away.
Monique gave away a greater fraction of cake than Chris.
How to explain the fractionWe can represent the fraction of cake Chris gave away as 3/8, and the fraction of cake Monique gave away as 4/8 (which can be simplified to 1/2)
3/8 ______ 1/2
In order to compare the fractions, we can convert them to have a common denominator. The smallest common multiple of 8 and 2 is 8, so we can write:
3/8 = 3/8
1/2 = 4/8
Now we can fill in the symbol to complete the comparison:
3/8 < 1/2
Therefore, Monique gave away a greater fraction of cake than Chris.
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what's 253 divided by 4 and pls show work!
Answer:
253 divided by 4 is 63.25.
Here's the work:
```
4) 253.00
24
---
13
12
---
13
12
---
1
```
Therefore, the answer is 63.25.
Find a quadratic equation which has solutions x=7 and x=-9. Write the quadratic form in the simplest standard form x^2+bx+c=0
Answer: x^2+2x-63
Step-by-step explanation:
Quadratic Equation = x^2-(Sum of Solution)x+(Product of Solution)
=x^2-(7-9)+(7*(-9))
=x^2+2x-63
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