Answer:
Carlos=8x
Step-by-step explanation:
b=Ben
b=2x
c=Carlos
c=8x
Hailey is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let
C
C represent the total cost of using a computer for
t
t minutes at the internet cafe. A graph of
C
C is shown below. Write an equation for
C
C then state the
y
y-intercept of the graph and determine its interpretation in the context of the problem.
Answer:
y intercept would be 8, and this value shows the minimum wage or charge for using the computer, no matter what time you use it.
Question 8 (2 points) Saved
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Passes a horizontal line test.
Passes vertical line test.
No repeating x values,
No repeating y values.
Answer: passes a horizontal AND vertical line test✅; no repeating x values✅
Step-by-step explanation:
To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.
Lastly, it can be a function if it has repeating y values.
A rectangular room has an area of 460460 square feet. The length of the room is 33 feet more than the width of the room. Find the length and width of the room, in feet, and separate them with a comma.
The length and width of the room are approximately 48.22 feet and 15.22 feet, respectively. We can write this as (48.22, 15.22).
What is length and width?Length and width are two dimensions that are commonly used to describe the size of a two-dimensional object, such as a rectangle, a piece of paper, or a room.Length typically refers to the longer dimension of an object, while width refers to the shorter dimension. In the case of a rectangle, the length is the longer side of the rectangle, and the width is the shorter side.
For example, if a rectangle has a length of 8 inches and a width of 5 inches, we can say that the dimensions of the rectangle are 8 inches (length) by 5 inches (width).
In the given question,
Let's denote the width of the room as x. Then, according to the problem, the length of the room is 33 feet more than the width, which means the length is x + 33.
We know that the area of the rectangular room is 460 square feet. We can set up an equation using the formula for the area of a rectangle:
Area = length × width
Substituting the expressions we have for length and width, we get:
460 = (x + 33) × x
Expanding the right side, we get:
\(460 = x^2 + 33x\)
Rearranging and setting the equation equal to zero, we get:
\(x^2 + 33x - 460 = 0\)
We can solve this quadratic equation using the quadratic formula:
\(x = (-33 ± √(33^2 - 4*1(-460)) / (2×1)\)
Simplifying under the square root, we get:
\(x = (-33 ± √(33^2 + 4×460×1)) / 2\)
\(x = (-33 ± √19849) / 2\)
\(x ≈ 15.22 or x ≈ -48.22\)
Since the width of the room cannot be negative, we can ignore the negative solution. Therefore, the width of the room is approximately 15.22 feet.
Using the expression we found for the length of the room, we get:
Length = width + 33 = 15.22 + 33 ≈ 48.22 feet.
Therefore, the length and width of the room are approximately 48.22 feet and 15.22 feet, respectively. We can write this as (48.22, 15.22).
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A random sample of 1000 oranges showed that the mean amount of juice per orange was 8.2 fluid ounces, with a standard deviation of 1.1 fluid ounces.
(a) Determine the z-score, to the nearest hundredth, of an orange that produced 6,4 fluid ounces of juice.
(b) The 2-score for one orange was 3.11. How much juice was produced by this orange? Round to the nearest tenth of a fluid ounce.
(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64
(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63
(a) Calculating the values of the z-score 6.4 fluid ounceFrom the question, we have the following parameters that can be used in our computation:
Mean = 8.2
Standard deviation = 1.1
The values of the z-scores is calculated as
z = (z - Mean)/Standard deviation
So, we have
z = (z - 8.2)/1.1
When the score is 6.4, we have
z = (6.4 - 8.2)/1.1
Evaluate
z = -1.64
(b) Calculating the values of the z-scores 3.11 fluid ounceRecall that
z = (z - Mean)/Standard deviation
So when the score is 3.11, we have
z = (3.11 - 8.2)/1.1
Evaluate the expression
z = -4.63
Hence, the values of the z-scores are -1.64 and -4.63
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Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
this isn’t a question but to everyone who’s actually good at math thank you so much for taking the time to answer these questions.
Answerurdsrd d e
Step-by-step explanation:
Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?
Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.
To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:
A = \(Pe^(^r^t^)\)
where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:
640 = \(Pe^(^0^.^0^3^5^*^9^)\)
640 = Pe^0.315
P =\(640/e^0^.^3^1^5\)
P = 432.43
Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.
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Find the derivative :y = (x+3)/(2x+1)
given that
\(y=\frac{x+3}{2x+1}\)Differentiating we get
\(\begin{gathered} \frac{dy}{dx}=\frac{(2x+1)-2(x+3)_{}}{(2x+1)^2} \\ =\frac{2x+1-2x-6}{(2x+1)^2} \\ =\frac{-5}{(2x+1)^2} \end{gathered}\)Please Help!! 10 points!!
Answer: This is true. For example, 3 is a multiple of 3. And zero is not a multiple of 3. When added together, 3 is still a multiple of 3.
Step-by-step explanation:
Which graph is defined by the function given below?
y = (x - 5)(x-5)
Answer: The graph for this quadratic function has an x intercept of 5 and a y intercept of 25.
Step-by-step explanation: The picture of the graph is attached below.
(I don't know if this is what you're looking for but hope it helps!)
2. Solve the system of equations: *S 2x – 4y = 201x=4x = 4=
EXPLANATION
Since we have the system of equations:
(1) 2x - 4y = 20
(2) x = 4
Plugging in x=4 into (1):
2*4 - 4y = 20
Multiplying numbers:
8 - 4y = 20
Subtracting -8 to both sides:
-4y = 20 -8
Subtracting numbers:
-4y = 12
Dividing both sides by -4:
y = 12 / -4
Simplifying:
y = -3
The solution to the system of equations is (x,y) = (4,-3)
Jorge earns $3.25 every time he does dishes. He does the dishes 2 times each week.
In the first box, enter an equation that represents the amount of money, m, Jorge earns doing dishes for any
number of weeks, w.
In the second box, enter the fewest number of whole weeks Jorge needs to work to buy a $70 video game.
{Please Help on math!}
Answer:
First Box Solution: 6.5w = m
Second Box Solution: 11 weeks
Step-by-step explanation:
For one week of washing the dishes he makes 6.5 dollars. 3.25*2 = 6.5 dollars per week. So "w" amount of weeks * 6.5 dollars per week = m- total money. Now we need to divide 70 by 6.5
70/1*2/13 = 140/13 =10 10/13 weeks
It takes 10 10/13 weeks to get 70 dollars but we can round it up to 11 weeks in total.
Should Jenna buy the smart phone at top quality or big value? support your answer with a mathematical evidence. Assume that getting the lowest price is Jenna's only consideration.?
Let the price of the item be t as stated in the question.
This means if Top quality is selling them at 15% off the list price, then the new price can be represented as;
(A)
\(\begin{gathered} Price=t-discount \\ \text{Price}=t-(t\times0.15) \\ \text{Price}=t-0.15t---(1) \\ \text{The second expression that can be used to }represent\text{ the discounted price is;} \\ \text{Price}=(t-0.15t) \\ \text{Price}=0.85t---(2) \end{gathered}\)(B)
Equation 1 shows the original list price less the discounted amount (which is 15 percent times the list price, t). The result is the price now paid eventually
Equation 2 shows the percentage of the list price that would be paid by Jenna after deducting the discount, which means she would be paying 85 percent of the list price (that is 0.85)
(C)
A smartphone on sale at 1/4 off its list price, would also mean its being sold at a discount of 25%. One-quarters of 100 percent would be 25, hence the smartphone is at 25% off the list price.
However, where the phone is being sold at 75% of its list price means, the list price now has 25% taken off. That is, the price at Big Value is
\(\begin{gathered} \text{Price}=0.75t \\ \text{Discount=t-0.75t} \\ \text{Discount}=0.25 \end{gathered}\)That means the discount at Big value is 25% (or 0.25)
The discount at Top Quality is 25% (0.25 or 1/4)
Jenna can buy at either of the store. Since she is already at Top Quality, she can just go ahead and buy it right there
A dinner mint costs 85¢ and a toffee costs 73¢. What is the cost of both sweets rounded to the nearest dollar?
Answer:
85 rounded to the nearest dollar would be $1. 73 rounded to the nearest dollar would also be $1
Step-by-step explanation:
These points are linear.
Find the slope.
x -2 -1 0 1 2
y -7 0 7 14 21
Answer:
7
Step-by-step explanation:
use the equation y2 - y1/ x2 - x1 to find the slope
-7 - 0/-2 - (-1)
-7/-1
7
y = 7x + b
if you want to check we have to find the y-intercept
(i can also show how to find it if you want :D)
Point C is on line segment BD. Given BD=2x, CD=8, and BC=x determine the numerical length of BD.
Answer:
BD = 16
Step-by-step explanation:
It is given that, C is on the line segment BD. BD = 2x, CD = 8 and BC = x
We need to find the value of BD.
BD = BC + CD
Putting all the values,
2x = x + 8
taking like terms
x = 8
Put the value of x in BD.
BD = 2(8)
BD = 16
Hence, the length of BD = 16
Find the perimeter of the figure shown above with aside length 5 unit
The perimeter of the figure with side length of 5 units is 50 units
How to determine the perimeter of the figureFrom the question, we have the following parameters that can be used in our computation:
Shape = rectangle
Smaller shapes = squares
Side lengths = 5 units
The perimeter of the figure is calculated as
Perimeter = Number of visible sides * Side length of the square shape
In this case, we have
Number of visible sides = 10
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 10 * 5
Evaluate the products
Perimeter = 50 units
Hence, the perimeter is 50 units
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What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answer:
5
Step-by-step explanation:
Islamic Question That I Need Asap:
Enumerate The Recommendations Of Prophet Muhammad (PBUH) From The Hadeeth Below
“O boy! I will instruct you in some matters. Be mindful of Allah, and He will protect you. Be mindful of Allah, and He will be ever with you. If you beg, beg of Him alone; and if you need assistance, supplicate to Allah alone for help. And remember that if all the people gather to benefit you, they will not be able to benefit you except that which Allah had foreordained for you; and if all of them gather to harm you, they will not be able to afflict you with anything other than that which Allah had predestined against you. The pens had been lifted and the ink had dried up.
Answer:
\(thank \: you\)
the mean of 100 nummerical observations is 51.82
If the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that mean of 100 nummerical observations is 51.82
We need to find the sum of all the observations
The formula to find mean is mean=Sum of observations/ Number of observation
From given mean=51.82
Number of observations =100
Let us take x as sum of all 100 numbers
So 51.82=x/100
Now apply cross multiplication
x=51.82×100
x=5182
Hence, if the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.
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Write 480,000 in scientific notation.
Answer:
4.8 x10^5
Step-by-step explanation:
4.8 x10^5 is the answer. Just move the decimal around.
A garden is to designed with a rectangular part in the middle with two semi-circles on the ends.
The dimensions of the rectangular portion are 18.4 feet long and 8.6 feet wide.
a) What is the area of one semi-circle at one end?
b) What is the area of the garden?
c) Find the area in square metres.
Given statement solution is :- a) The area of one semi-circle at one end is 58.09 square feet.
b) The area of the garden is 274.42 square feet.
c) The area in square metres is approximately 58.09 square feet.
The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.
Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.
Now we can calculate the area of the semi-circle:
A = (π * 4.3²) / 2
A ≈ 58.09 square feet
b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.
Area of the rectangular portion = length * width
Area of the rectangular portion = 18.4 feet * 8.6 feet
Area of the rectangular portion ≈ 158.24 square feet
Area of the two semi-circles = 2 * (area of one semi-circle)
Area of the two semi-circles ≈ 2 * 58.09 square feet
Area of the two semi-circles ≈ 116.18 square feet
Total area of the garden = area of the rectangular portion + area of the two semi-circles
Total area of the garden ≈ 158.24 square feet + 116.18 square feet
Total area of the garden ≈ 274.42 square feet
c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.
Area in square meters = Total area of the garden * (0.3048)²
Area in square meters ≈ 274.42 square feet * 0.3048²
Area in square meters ≈ 25.49 square meters
Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
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15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
Which of these is a simplified form of the equation 6Y +4 equals 8+ 2Y plus 2Y
the simplified form of the equation 6Y + 4 = 8 + 2Y + 2Y is Y = 2.
How to solve the question ?
To simplify the equation 6Y + 4 = 8 + 2Y + 2Y, we can combine like terms. Like terms are terms that have the same variable and the same exponent. In this case, we have two terms with Y as the variable, so we can combine them.
First, let's add the 2Y terms on the right side of the equation: 6Y + 4 = 8 + 4Y
Next, we can subtract 4Y from both sides of the equation to isolate the variable on one side: 6Y - 4Y + 4 = 8
Simplifying further, we can combine the Y terms: 2Y + 4 = 8
Finally, we can subtract 4 from both sides to isolate the variable: 2Y = 4
And we can solve for Y by dividing both sides by 2: Y = 2
Therefore, the simplified form of the equation 6Y + 4 = 8 + 2Y + 2Y is Y = 2.
In summary, to simplify an equation, we want to combine like terms and isolate the variable on one side of the equation. Once we have the variable on one side, we can solve for its value.
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Which statement is true about the solution to ?
The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer: correct
Step-by-step explanation: The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.
Answer: There are no real number solutions to this equation.
Im finding missng angles for a parallel lines worksheet and it gave me the first one but i cant find the rest the first one was 65 degrees
Answer:
...
Step-by-step explanation:
Plzz help me well mark brainliest if correct,.......???!!!
Answer:
im pretty sure is 3 but it says 2 but just pick 3
Answer:
1
Step-by-step explanation:
Depending on what number has the most Xs above it, that will be the answer. The question is slanted so, it's hard to tell between 1 and 3, but, if I had to guess, then 1.
Find the simple interest The simple interest is $ (Round to the nearest cent as needed) Principal Rate Time in Months $10000 4% 3
Given :
Principal = P = $10000
Rate = r = 4% = 0.04
Time = t = 3 months = 3/12 year = 1/4 year
The simple interest = I :
\(I=P\cdot r\cdot t=10000\cdot0.04\cdot\frac{1}{4}=10000\cdot0.01=100\)So, the answer is : the simple interest = $100