A battery is charged The percentage of the battery that is charged as a fiction of time (in minutes) is graphed. At what rate is the battery charged
Answers
Answer:
the battery rate is 6.5
Step-by-step explanation:
Answer:
2 percent per minute
Step-by-step explanation:
The rate at which the battery was charged is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line. Two points whose coordinates are clearly visible from the graph are (0,40) and (5,50). Now, to find the slope, let's take the ratio of the corresponding differences in the y-values and the x-values: 50-40/5-0=10/5=2. The slope of the line is 2, which means the battery was charged at a rate of 2 percent per minute.
Related Questions
for a ride on a rental scooter, alonzo paid a fee to start the scooter plus cents per minute of the ride. the total bill for alonzo's ride was . for how many minutes did alonzo ride the scooter?
Answers
Alonzo rode the scooter for 44 minutes.
Let the fee to start the scooter be F, and let the cost per minute of the ride be C. We are given that Alonzo's total bill for the ride is T. With this knowledge, we can construct the following equation:
T = F + Cm
where m is the number of minutes Alonzo rode the scooter. We want to solve for m.
To find m, we may rewrite the equation as follows:
m = (T - F)/C
Therefore, the number of minutes Alonzo rode the scooter is (T - F)/C.
For example, let's say the fee to start the scooter is $2.50, and the cost per minute of the ride is $0.15. If Alonzo's total bill for the ride was $9.20, then we can plug these values into the equation above to find the number of minutes Alonzo rode the scooter:
m = (T - F)/C = (9.20 - 2.50)/0.15 = 44
Therefore, Alonzo rode the scooter for 44 minutes.
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Explain how to factor a polynomial completely. Pick two of the following
polynomials to help explain how to completely factor.
.x5x³
3x²75
3x³y+4xªy — 5x²y
x³-125
Be sure to reference GCF, Difference of Squares, Sum of Cubes, or Difference of
Cubes in your answers.
|
Answers
To factor a polynomial completely, we want to rewrite it as a product of simpler expressions. Here are some common techniques to factor polynomials:
Greatest Common Factor (GCF): Factor out the greatest common factor of all the terms in the polynomial. For example, to factor 3x² + 9x, we can factor out 3x to get 3x(x + 3).
Difference of Squares: If the polynomial is in the form a² - b², it can be factored as (a + b)(a - b). For example, x² - 9 can be factored as (x + 3)(x - 3).
Sum of Cubes: If the polynomial is in the form a³ + b³, it can be factored as (a + b)(a² - ab + b²). For example, x³ + 8 can be factored as (x + 2)(x² - 2x + 4).
Difference of Cubes: If the polynomial is in the form a³ - b³, it can be factored as (a - b)(a² + ab + b²). For example, x³ - 1 can be factored as (x - 1)(x² + x + 1).
Let's use two of the given polynomials to demonstrate how to factor them completely:
To factor x³ - 125, we can use the difference of cubes formula: x³ - 125 = (x - 5)(x² + 5x + 25). So the polynomial is factored completely into two binomials.
To factor 3x³y + 4x²y - 5x²y, we can first factor out the common factor of x²y: 3x³y + 4x²y - 5x²y = x²y(3x + 4 - 5) = x²y(3x - 1). So the polynomial is factored completely into one binomial and one monomial.
A random sample of computer users were asked which browser they primarily relied on for surfing the Internet and whether this browser was installed on a desktop or laptop computer. The following contingency table shows these results. Browser Desktop Laptop Internet Explorer 18 56 Firefox 7 37 Chrome 24 77 Safari 3 18 Other 3 7 a) The probability that a randomly selected person from this sample used the Internet Explorer or the Chrome browser is b) The probability that a randomly selected person from this sample used the Internet Explorer and the Firefox browser is c) The probability that a randomly selected person from this sample used the Safari browser or used a laptop computer is d) The probability that a randomly selected person from this sample used the Chrome browser and used a laptop computer is e) Given that the randomly selected computer used the Chrome browser, the probability that the computer was a laptop is
Answers
a)The probability that a randomly selected person from this sample used the Internet Explorer or the Chrome browser is0.42
b) The probability that a randomly selected person from this sample used the Internet Explorer and the Firefox browser is :0.03
c)The probability that a randomly selected person from this sample used the Safari browser or used a laptop computer is :0.86
d) The probability that a randomly selected person from this sample used the Chrome browser and used a laptop computer is :0.32
e)the probability that the computer was a laptop is: 0.76.
a) The probability that a randomly selected person from this sample used the Internet Explorer or the Chrome browser is :
P(Internet Explorer or Chrome) = P(Internet Explorer) + P(Chrome)= (18+24)/(18+56+7+37+24+77+3+18+3+7)= 0.42
b) The probability that a randomly selected person from this sample used the Internet Explorer and the Firefox browser is :
P(Internet Explorer and Firefox) = 7/(18+56+7+37+24+77+3+18+3+7)= 0.03
c) The probability that a randomly selected person from this sample used the Safari browser or used a laptop computer is :P(Safari or Laptop) = P(Safari) + P(Laptop) - P(Safari and Laptop)= (3+56+37+77+18)/(18+56+7+37+24+77+3+18+3+7) = 0.86
d) The probability that a randomly selected person from this sample used the Chrome browser and used a laptop computer is :P(Chrome and Laptop) = 77/(18+56+7+37+24+77+3+18+3+7) = 0.32
e) Given that the randomly selected computer used the Chrome browser, the probability that the computer was a laptop is:P(Laptop|Chrome) = P(Laptop and Chrome) / P(Chrome)= 77 / (24+77) = 0.76
Hence, the required probabilities are: a) 0.42, b) 0.03, c) 0.86, d) 0.32 and e) 0.76.
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When an integer is subtracted from 5 times the next consecutive odd integer, the difference is 38. Find the value of the greater integer
Answers
The value of the greater integer is 9
What is an integer?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero
From the question, we were told that;
An integer is subtracted from 5 times the next consecutive odd integer, the difference is 38
Represent the integer with x
So, we have the following representation
x is subtracted from 5 times the (x + 2), the difference is 38
When represented as an equation, we have
5(x + 2) -x = 38
Open the brackets
5x + 10 - x = 38
Evaluating the like terms
4x = 28
Divide both sides of the equation by 4
x = 7
The next odd integer is x + 2
So, we have x + 2 = 7 + 2
Evaluating x + 2 = 9
Hence, the solution is 9
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which of these collections of subsets are partitions of {1, 2, 3, 4, 5, 6}? a) {1, 2}, {2, 3, 4}, {4, 5, 6} b) {1}, {2, 3, 6}, {4}, {5} c) {2, 4, 6}, {1, 3, 5} d) {1, 4, 5}, {2, 6}
Answers
The collections of subsets that are partitions of {1, 2, 3, 4, 5, 6} are options (b) and (c).
Among the given options, collections (b) and (c) are partitions of the set {1, 2, 3, 4, 5, 6}. In option (b), the subsets {1}, {2, 3, 6}, {4}, and {5} form a partition since each element of the set belongs to exactly one subset.
Similarly, in option (c), the subsets {2, 4, 6} and {1, 3, 5} form a partition as each element is assigned to exactly one subset. On the other hand, options (a) and (d) do not satisfy the criteria of being a partition.
A partition of a set is a collection of subsets that satisfies two conditions: The subsets are non-empty. Every element in the original set belongs to exactly one subset in the collection. Let's analyze each option to determine if it is a partition of {1, 2, 3, 4, 5, 6}:
a) {1, 2}, {2, 3, 4}, {4, 5, 6}
This option does not form a partition since the element 2 belongs to both the subsets {1, 2} and {2, 3, 4}. So, option (a) is not a partition.
b) {1}, {2, 3, 6}, {4}, {5}
This option forms a partition. Each element belongs to exactly one subset, and the subsets are non-empty. So, option (b) is a partition.
c) {2, 4, 6}, {1, 3, 5}
This option forms a partition. Each element belongs to exactly one subset, and the subsets are non-empty. So, option (c) is a partition.
d) {1, 4, 5}, {2, 6}
This option does not form a partition since the elements 2 and 6 do not belong to any subset in this collection. So, option (d) is not a partition.
Therefore, the collections of subsets that are partitions of {1, 2, 3, 4, 5, 6} are options (b) and (c).
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Please help ASAP please give both answers :)
Answers
Answer:
Step-by-step explanation:
If we want to share £5 to the ratio of 1/3 we should follow this steps :
our ratio is 1/3 so we should add 1 and 3 together to find the total number of parts : 1+3=4 divide the total amount by the number of parts : 5/4 = 1.25 multiply each number in the ratio by 1.25 : 1.25*1=1.25 and 1.25*3=3.75the answer is 1.25 and 3.75
It was obvious from the beginning that the answer would be the last one since ut had two numbers
following the same steps you get again in the second question :6 ; 14
Can someone solve this problem for me?
Answers
The value of x is 125 degrees and y is equal to 75 degrees
To solve this problem, we have to use some theorems on angles.
Sum of AnglesThe sum of angles in a triangle is equal to 180 degrees.
Let the unknow side be represented by z
\(50+75+z=180\\125+z=180\\z=180-125\\z=55\)
Using the value of angle z, we can solve for x.
x + z = 180 degree
Reason: Angles on a straight line is equal to 180 degrees
\(z+x=180\\55=x=180\\x=180-55\\x=125^0\)
The value of x is equal to 125 degrees
From this, we can solve for angle y.
Angle y = 75 degrees
Reason; alternate angles are equal to each other.
from the calculations above, the values of the unknown are
x = 125 degreesy = 75 degreesLearn more on theorems of angles here;
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suppose a jar contains 9 red marbles and 14 blue marbles. if you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. answer should be in fractional form.
Answers
The probability that both are red should be 0.1423.
The possibility of picking up x number of balls among n number of balls is ⁿCₓ.
jar contains 9 red marbles and 14 blue marbles. Total number of marbles are 23.
favorable cases of picking two red marbles among 9 red marbles is ⁹C₂
And the total possible cases of picking two marbles among 23 marbles is ²³C₂
Therefore, the probability of picking both red marbles are = ( no. Of favorable cases/no. Of possible cases) = ( ⁹C₂ )/( ²³C₂ ) = 36/253 = 0.1423.
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The system of equations has .
Answers
Answer:
A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.
Answers
Answer:
1/2
Step-by-step explanation:
We know the total amount of marbles in the bag, 6. Now, we need to make a fraction, there are 3 blue marbles, so our fraction is 3/6. This can be simplified to 1/2.
The required probability of the blue marble in the bag is 1 / 3.
Given that,
A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random, what is the probability that it is blue is to be determined.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
Total number of marble in the bag = 6
Total number of blue marble in the bag = 2
Probability of the blue marble in the bag = 2 / 6 = 1 / 3
Thus, the required probability of the blue marble in the bag is 1 / 3.
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Find the volume of the cone.
Either enter an exact answer in terms of or use 3.14 for T.
6
10
units 3
Answers
Answer:5
Step-by-step explanation:
Because
Which describes all possible values of f(x) in the function f(x) = √x/2? All real numbers all real numbers except for 0 all positive real numbers and 0 all negative real numbers and 0
Answers
Answer:
all positive real numbers and 0
Step-by-step explanation:
The function has a square root in the x value, so this function can't have negative values, because a negative value of x would give a complex number for f(x), and positive values of x gives positive values of f(x).
The function f(x) can be zero, if the value of x is zero:
\(f(0) = \sqrt{0} /2 = 0/2 = 0\)
So the function f(x) can only have positive values and the value 0.
Correct option: "all positive real numbers and 0"
the quotient of 30 and the sum of 5 and 7 as numerical expression
Answers
The quotient of 30 and the sum of 5 and 7 as a numerical expression can be represented as follows 30 ÷ (5 + 7) = 30 ÷ 12 = 2.5 Therefore, the numerical expression is 30 ÷ (5 + 7), which simplifies to 2.5 as shown above. response and does not meet the requirement of being.
The quotient of 30 and the sum of 5 and 7 as a numerical expression can be represented as follows:30 ÷ (5 + 7) Multiplication, division, addition, and subtraction are the four basic mathematical operations. Parentheses are often used in numerical expressions to indicate the order of operations, also known as the order of precedence. According to the order of operations, the addition of 5 and 7 must be done first, followed by division.
The expression is evaluated as follows:30 ÷ (5 + 7) = 30 ÷ 12 = 2.5 Therefore, the numerical expression is 30 ÷ (5 + 7), which simplifies to 2.5 as shown above. response and does not meet the requirement of being, The quotient of 30 and the sum of 5 and 7 as a numerical expression can be represented as follows:30 ÷ (5 + 7) Multiplication, division, addition, and subtraction are the four basic mathematical operations. Parentheses are often used in numerical expressions to indicate the order of operations, also known as the order of precedence. According to the order of operations, the addition of 5 and 7 must be done first, followed by division. Therefore, the numerical expression is 30 ÷ (5 + 7), which simplifies to 2.5 as shown above.
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Arianys is driving to a concert and needs to pay for parking. There is
an automatic fee of $11 just to enter the parking lot, and when she
leaves the lot, she will have to pay an additional $3 for every hour she
had her car in the lot. How much total money would Arianys have to
pay for parking if she left her car in the lot for 4 hours? How much
would Arianys have to pay if she left her car in the lot for t hours?
Cost of parking for 4 hours:
Cost of parking for t hours:
Pls help me
Answers
Answer:
c = 3t + 11
t = time in the lot
c = total cost
4 hours the cost will be $23
Step-by-step explanation:
Cost for 4 hours.
c = 3t + 11
c = 3(4) + 11
c = 12 + 11
c= $23
Then when she leaves the lot shes gonna have to pay $3 every hour she stays there
So if she stays there for 4 hours and getting charged $3 every hour that means in 4 hours she is going to pay $12
So the enter fee + the amount of money over time is going to equal $23
So the answer would be 23$
A group of volunteers tagged and released 29 owls as part of a research project. Later, the researchers counted 902 owls, 11 of which had tags. To the nearest whole number, what is the best estimate for the owl population?
Answers
The best estimate for the owl population is 2,378.
The population of the owl can be estimated using the concept of proportion. Proportion refers to a mathematical comparison between two numbers. According to the concept, if two sets of given numbers are increasing or decreasing in the same ratio, hence the ratios are said to be directly proportional to each other.
Based on the provided information, 29 owls are tagged and released as part of a research project. Assume that the total number of owl populations is x. At the later time, researchers counted 902 owls and found the 11 were tag. Hence, there are 18 tagged owls which are not accounted for. Assuming that the proportional of tagged owls to number of owls counted applies to the remaining population, the total number of owls can be best estimated as:
x = (902/11)*29 = 2,378
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Julie has 400 books to sell.
Each book is Fiction or Non-fiction.
The ratio of the number of Fiction books to the number of Non-fiction books is 15:10.
Each book has a normal price of £10.
Julie reduces the price of all the Non-fiction books to half price.
Julie sells all 400 books.
Work out the total amount of money Julie will receive.
yall im done mathematics aint my thing.
Answers
The answer u should date me <3
I love you I’m ur biggest fan ;)
A car travels 15 km in 13 minutes. What is its average speed in km/h?
Answers
Answer:
69.45 km/hStep-by-step explanation:
Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)Conclusion:
Therefore, the speed is 69.45 km/h (Approximate)Hoped this helped.
if carl's gpa is 2.2, his gpa has a z-score of [ select ] , and he has a higher gpa than approximately [ select ] of other students at uta. next
Answers
Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.
To determine Carl's z-score, we need to know the mean and standard deviation of GPAs at UTA. Without this information, we cannot calculate the z-score. However, we can still determine the percentage of other students at UTA who have a lower GPA than Carl. We can use a standard normal distribution table to find this percentage, assuming that GPAs at UTA are approximately normally distributed.
First, we need to calculate the z-score corresponding to Carl's GPA of 2.2. Assuming a mean GPA of 3.0 and a standard deviation of 0.5, we can use the formula: z = (x - μ) / σ
where x is Carl's GPA, μ is the mean GPA, and σ is the standard deviation. Plugging in the values, we get:
z = (2.2 - 3.0) / 0.5 = -1.6
Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.
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Mark can type 20 words a minute. How many words can be typed in 7.5mins
Answers
Answer:
150 words
Step-by-step explanation:
1 minute = 20 words
7.5 minutes = 20 x 7.5 = 150 words
For numbers 5 - 6, fill in the boxes for the area method, and then put a check mark next to the correct answer.
(5 points per question: 1 point for each blank and 1 point for the correct answer). 5. Fill in the blanks within the area model for (4a - 2b)(12a + 6b) and then put a check next to the answer after simplifying (combining like terms).
4a
Answers
Answer: 12a + 6b
-2b
-8ab
Check: 48a^2 - 24b^2
Step-by-step explanation:
In ABC, angle A = 30 degree , angle b=45 degree find the angle c
Answers
Answer:
95 degrees
Step-by-step explanation:
in a triangle angles add up to 180 degrees.
a + b + c = 180
30 + 45 + c = 180
85 + c = 180
c= 180 - 85
c= 95 degrees
Piper and her friend Hunter are going to a carnival that has games and rides. Piper played 5 games and went on 7 rides and spent a total of $43.75. Hunter played 10 games and went on 2 rides and spent a total of $27.50. Determine the cost of each game and the cost of each ride.
Answers
Answer:
game: $1.75ride: $5.00Step-by-step explanation:
You want to know the cost of each game and each ride if 5 games and 7 rides cost $43.75 while 10 games and 2 rides cost $27.50.
SetupWe can let g and r represent the cost of a game and the cost of a ride, respectively. Then the two purchases can be described by ...
5g +7r = 43.75
10g +2r = 27.50
SolutionA system of linear equations like this is easily solved by reducing the augmented matrix of coefficients to row-echelon form. Many calculators and web tools are available for the purpose. The attachment shows the result of using a calculator app.
It tells us the price of a game is $1.75, and the price of a ride is $5.00.
EliminationUsing the elimination method of solving the system we can eliminate 'g' by subtracting the second equation from twice the first:
2(5g +7r) -(10g +2r) = 2(43.75) -(27.50)
12r = 60 . . . . . . . simplify
r = 5 . . . . . . . . . divide by 12
10g +2(5) =27.50 . . . . . substitute for r in the second equation
10g = 17.50 . . . . . . . . . subtract 10
g = 1.75 . . . . . . . . . . . divide by 10
The cost of each game is $1.75; the cost of each ride is $5.00.
suppose that the radius of convergence of the power series cn xn is r. what is the radius of convergence of the power series cn x9n ?
Answers
The radius of convergence of the power series $\sum_{n=0}^\infty c_n x^n$ is $r$. To find the radius of convergence of the power series $\sum_{n=0}^\infty c_n x^{9n}$, we can rewrite the series as $\sum_{n=0}^\infty c_n (x^9)^n$.
Letting $y = x^9$, we obtain the power series $\sum_{n=0}^\infty c_n y^n$, which has the same coefficients as the original series. By the ratio test, the series $\sum_{n=0}^\infty c_n y^n$ has radius of convergence $R' = r^9$. Therefore, the radius of convergence of the power series $\sum_{n=0}^\infty c_n x^{9n}$ is $r^9$.
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9. A toy was marked $236. After allowing a discount of 8% on the toy, find
the sale price of the toy.
Answers
Answer:
$217.12
Step-by-step explanation:
Please help
marking brain list
Answers
which two fractions are equivalent to whole numbers? 1/2. 2/6. 4/8. 5/5. 7/8. 10/1.
Answers
In order to find the fractions that are equivalent to whole numbers, we can convert each fraction to its decimal form.
So we have that:
\(\begin{gathered} \frac{1}{2}=0.5 \\ \\ \frac{2}{6}=0.333\ldots \\ \\ \frac{4}{8}=0.5 \\ \\ \frac{5}{5}=1 \\ \\ \frac{7}{8}=0.875 \\ \\ \frac{10}{1}=10 \end{gathered}\)So the fractions that are equivalent to whole numbers are 5/5 and 10/1.
Helpp I will mark brainliestttt
Answers
Answer:
25
Step-by-step explanation:
.45x25+10.00= 21.25
.65x25+5.00=21.25
i need help ill give brainleyst
Answers
Second one
Sixth one
Fourth one
Sorry if I am wrong
You need to mix 40lbs of mortar. Each pound of mortar mix requires 0.4 liters if water.How many liters of water do you need?
Answers
Answer:
16 liters of water is needed for the 40lbs of mortar
Step-by-step explanation:
40*0.4=16
Where 40 is the lbs of moarter, and 0.4 is the amount of liters per pound, meaning the answer is 16 liters of water for 40 pounds.
Work Shown:
1 pound of mortar : 0.4 liters of water
40*(1 pound of mortar) : 40*(0.4 liters of water)
40 pounds of mortar : 16 liters of water
Ella is testing out a new studying method and wants to know if it works. She decides to compare her spelling test scores from last week and this week. On last week's test, Ella spelled 16 out of the 20 words correctly. On this week's test, she spelled 13 out of the 15 words correctly. On which test did Ella get a higher ratio of correctly spelled words to total words?
Answers
Answer:
The test where Ella got 13/15 has the higher ratio of correctly spelled words to total words.
Step-by-step explanation:
On the last week's test, Ella got a 16/20, which equates to 80% correctly spelled words compared to total words. On this week's test, she got a 13/15, which equates to 86.6% correctly spelled words compared to total words. Since 86.6 > 80, the test where Ella got a 13/15 has the higher ratio.