Answer: D
Step-by-step explanation:
Quotient means division
Choose the correct sign to compare the two fractions. Use the models to help. 1/3 shaded part of a column and the other column 5/6 shaded of a column
Answer: greater than or <
Step-by-step explanation:
It’s < on edgen. For the comparing unlike fractions using models section.
The expression for the income of an amusement park is given, where x is the entry price: 96. - 4c? Aside from free entry, what entry price will result in no income? O S4 0 $12 0 $24 O $96
The income of the amusement park is a function of the price of the ticket
The entry price that will result in no income is $24
How to determine the entry price that results in no incomeThe expression for the income is given as:
\(96x - 4x^2\)
When the income is 0, we have the following equation
\(96x - 4x^2 = 0\)
Factor out 4x
\(4x(24 - x) = 0\)
Split the equation
4x = 0 or 24 - x = 0
Solve for x
x = 0 or x = 24
This means that, the entry price that will result in no income is $24
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14.75x - 2.3 = 5.25x + 45.2
Colin deposited $1,230 in an account that pays 3.19% simple interest for three years.a. What will the interest be for the three years?
b. What will be the new balance after three years?
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1230\\ r=rate\to 3.19\%\to \frac{3.19}{100}\dotfill &0.0319\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 1230[1+(0.0319)(3)] \implies \stackrel{balance}{\boxed{A \approx 1347.71}}~\hfill \underset{interest}{\stackrel{1347.71~~ - ~~1230}{\boxed{117.71}}}\)
what is 115.376 rounded to the nearest ones and tens. show how you did it with a number line?
The decimal number 115.376 rounded to the nearest ones and tens will be 115 and 120, respectively.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The decimal number is given below.
⇒ 115.376
Round the number to the nearest ones will be given as,
115.376 ≈ 115.4
115.4 ≈ 115
Round the number to the nearest tens will be given as,
115.376 ≈ 115.4
115.4 ≈ 115
115 ≈ 120
The decimal number 115.376 is adjusted to the closest ones and tens will be 115 and 120, individually.
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if the area of a rectangle is 12n12-30n6 168n3 and the length of a rectangle is 6n3, what is the width
The width of the rectangle is 2n^9 - 5n^3 + 28.
To find the width of the rectangle, we need to use the formula for the area of a rectangle:
Area = Length x Width
We are given that the area of the rectangle is:
12n^12 - 30n^6 + 168n^3
And we know that the length of the rectangle is:
6n³
So we can plug these values into the formula and solve for the width:
Area = Length x Width
12n^12 - 30n^6 + 168n^3 = 6n^3 x Width
Dividing both sides by 6n^3:
2n^9 - 5n^3 + 28 = Width
Therefore, the width of the rectangle is 2n^9 - 5n^3 + 28.
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Which method is best for root finding?
Answer:
on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.
a bag contains 8 green marbles, 12 red marbles, and 16 blue marbles. what is the probability that a person reaches into the bag and randomly selects a green marble? enter your answer in the box as a fraction in simplest form.
On solving the provided question, we can say that the probability of both = 4/9*1/3 or 4/27
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
18 marbles = 8 are blue and 6 are red .
probability a blue marble = 8/18 = 4/9.
probability of getting a red marble i=6/18 = 1/3.
probability of both = 4/9*1/3 or 4/27
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1/2x+5=-2/3x+1/2
Solve for x
\(\frac{1}{2}x +5 = -\frac{2}{3} x +\frac{1}{2} \\\frac{1}{2} x + \frac{2}{3} x = \frac{1}{2}-5\\ \frac{7}{6} x=-\frac{9}{2} \\x=-\frac{54}{14} =-\frac{27}{7}\)
Hope that helped!
●●●●●●●●●●●●●●●●●●●●●●●●
\(\small\boxed{\sf{\sf\red{{\: x = \sf\ \:{{\: \frac{ - 27}{7} }}}}}}\)
●●●●●●●●●●●●●●●●●●●●●●●●
Step 1: Add 2/3x to both sides.
Step 2: Subtract 5 from both sides.
\( \frac{7}{6} x + 5 - 5 = \frac{1}{2} - 5\)
Step 3: Multiply both sides by 6/7.
\(( \frac{6}{7} )*( \frac{7}{6} x) = (\frac{6}{7} )*( \frac{ - 9}{2} )\)
So thr answer is
x=-27/7Use the following circle to solve for x
We know that the product of lengths of the same chord is equal to the product of the other chord intersecting it.. So;
\( \purple{ \mathfrak{x \times 6 = 12 \times 5}}\)
\( \large \purple{ \mathfrak{x = \frac{12 \times 5}{6}}}\)
\( \large \purple{ \mathfrak{x = \frac{ \cancel{12} \times 5}{ \cancel6}}}\)
\( \large \purple{ \mathfrak{x = 2 \times 5}}\)
\( \large \boxed{ \red{ \mathfrak{x =10}}}\)
1) m2 = 3x - 6
120 X
2.
A) 12
C) -11
B) 10
D) 6
Answer:
A
Step-by-step explanation:
Since the 2 legs are congruent then the triangle is isosceles and therefore the base angles are congruent, that is
∠ 2 = \(\frac{180-120}{2}\) = \(\frac{60}{2}\) = 30° , thus
3x - 6 = 30 ( add 6 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12 → A
What roles did militias play in the American Revolution? Your answer:
Hey there! I'm happy to help!
A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.
I hope that this helps! Have a wonderful day! :D
What is the quotient? 8)48
Answer: 6
Step-by-step explanation: 8 x 6 = 48, so therefore 8)48 would be 6.
Answer:
8 / 48
Step-by-step explanation:
quotient = 0
remainder = 8
Brainiest please
which of the following is a factor of 12x2 − 4x − 1?
To find the factors of the expression 12x^2 - 4x - 1, we can use the factor theorem. The factor theorem states that if a polynomial expression evaluates to zero when a certain value is substituted for the variable, then that value is a factor of the polynomial.
To determine if a certain value is a factor of the expression, we can use synthetic division. Synthetic division involves dividing the polynomial expression by the possible factor to check if the remainder is zero. If the remainder is zero, then the value is a factor.
Let's start by checking if x = 1 is a factor of the expression:
1 | 12 - 4 - 1
| 12 8
|____________
12 8 7
Since the remainder is not zero, x = 1 is not a factor of the expression.
Next, let's check if x = -1 is a factor of the expression:
-1 | 12 - 4 - 1
| -12 16
|____________
12 -16 15
Again, the remainder is not zero, so x = -1 is not a factor of the expression.
Now, let's check if x = 2 is a factor of the expression:
2 | 12 - 4 - 1
| 24 40
|____________
12 20 39
Once again, the remainder is not zero, so x = 2 is not a factor of the expression.
Finally, let's check if x = -2 is a factor of the expression:
-2 | 12 - 4 - 1
| -24 56
|____________
12 -28 55
As we can see, the remainder is not zero, so x = -2 is not a factor of the expression.
After checking all the possible factors, we can conclude that none of the values tested (1, -1, 2, -2) are factors of the expression 12x^2 - 4x - 1.
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Which point will going to be in y=-4+6
Answer: (-4,22)
I got this by solving the equation on a graph.
what is the independent value
What is the slope of (-9,4) (-12,8)?
Answer: -5/3
Step-by-step explanation:
Answer: m = -4/3
Step-by-step explanation:
If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .
-2- 3(7-k) =-4(2k-1)
Answer:
k=27/11
Step-by-step explanation:
An identification code is composed of three characters. the first character is the letters a or b, followed by a 2, 4, or 6, and ending with either the letters y or z. how many possible codes exist?
There are 12 possible codes that exist.
To find how many possible codes exist:
As an output, you will have three characters in total. Let us represent our unknown as XXX here.We have two options for the first X: A and B. It can only be one of those two options.We will have three options for the second X: 2, 4, and 6. Only one of those three possibilities is possible.Following the pattern, the third X has only two options: Y or Z. There are two options.In this case, the rule is that each set of possibilities is multiplied together (in this case, the two from the first X, the three from the second X, and the two from the third X).So, 2×3×2 = 12, which gives us 12 possible codes.Therefore, there are 12 possible codes that exist.
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Perry's school is due west of his house and due south of his friend Sasha's house. The
distance between the school and Sasha's house is 6 miles and the straight-line distance
between Perry's house and Sasha's house is 10 miles. How far is Perry's house from school?
Answer:
8 miles
Step-by-step explanation:
You can think of it as a triangle, which will look like the picture at the bottom.
You're trying to find the missing length, and to do that you can use the Pythagorean theorem.
That would be:
\(6^{2} + x^{2} =10^{2}\)
Then, solving:
\(36 + x^{2} =100\\x^{2} = 64\\x = 8\)
Therefore, the answer is 8 miles
Solve 2(1 - x) > 2x
Answer:
x < 1/2
Step-by-step explanation:
2(1-x) > 2x
2-2x > 2x
2 > 4x
1/2 > x
Answer:
x<1/2
Step By Step Explanation
Let's solve your inequality step-by-step.
2(1−x)>2x
Step 1: Simplify both sides of the inequality.
−2x+2>2x
Step 2: Subtract 2x from both sides.
−2x+2−2x>2x−2x
−4x+2>0
Step 3: Subtract 2 from both sides.
−4x+2−2>0−2
−4x>−2
Step 4: Divide both sides by -4.
-4x/2>-2/4
x<1/2
The top of building A is 418 feet high. This is about 3 times as high as the top of building B.
About how high is the top of building B?
Answer:
139.33 feet
Step-by-step explanation:
Building A = 418 feet
Building B = 1/3A
So we take 418 times 1/3 = 139.33 feet
So, building B is about 139.33 feet high!
Please answer this I am having trouble with it
Answer:
Step-by-step explanation:
To find KLR, we subtract MLR from KLM. We get left with 2x+14=KLR. With this, we can see that 36 degrees = 2x+14.
Now you just solve.
You earned a 90% on a science test. You answered 36 questions correctly. How
many questions were on the test? (Use a proportion or the Percent Equation to
find the answer.) *
Answer:
4
Step-by-step explanation:
because it is- its so obv
What is the y-intercept, b, of the following linear equation? y = 2x+4 b=
Answer:
4
Step-by-step explanation:
you can use the formula y=mx+b where b is 4
fred can mow a lawn in 90 minutes. melissa can mow the same lawn in 30 minutes. how long does it take for both fred and melissa to mow the lawn if they are working together? express your answer as a reduced fraction.
It would take them 9/10 of an hour to mow the lawn together.
To solve the problem, we can use the formula:
time = work / rate
Let's first find the rates of Fred and Melissa. Fred can mow the lawn in 90 minutes, so his rate is:
1 lawn / 90 minutes = 1/90 lawns per minute
Similarly, Melissa's rate is:
1 lawn / 30 minutes = 1/30 lawns per minute
When they work together, their rates add up:
rate together = rate of Fred + rate of Melissa
rate together = 1/90 + 1/30
rate together = 1/54 lawns per minute
Now we can use the formula to find the time it takes for them to mow the lawn together:
time = work / rate
time = 1 lawn / (1/54 lawns per minute)
time = 54 minutes
Therefore, it would take Fred and Melissa 54 minutes to mow the lawn if they worked together. This can be expressed as the reduced fraction 9/10.
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answer these questions please
The difference in the two figure's areas is 96 square units.
The height of the horse trough is 4 feet.
How to find the difference in the two figure's areas?No. 11
The area of Figure A is:
A = l * w = 12 * 8 = 96 square units
The area of Figure B is:
B = l * w = 16 * 12 = 192 square units
The difference in the two figure's areas is:
B - A = 192 - 96 = 96 square units
Therefore, the difference in the two figure's areas is 96 square units.
No. 12
We are given that the base area is 24 square feet, and the volume is 96 cubic feet.
Volume = base area * height
96 = 24 * height
height = 96/24
height = 4 feet
Therefore, the height of the horse trough is 4 feet.
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Answer:...............
Step-by-step explanation:
...................
A retail establishment closes each evening. If the establishment is open from 9 am to 5 pm, the objective of a simulation might be to estimate some measure of the
quality of customer service over the period beginning at 9 am and ending when the last customer who entered before the doors closed 5 pm has been served.
What type of model is the above model according to the output analysis?
According to the output analysis, the model presented above is of Discrete-event simulation (DES) type.
What is Discrete-event simulation (DES)?
Discrete-event simulation (DES) is indeed a type of computer-based simulation where events occur at specific points in time. In DES, a system's behavior is modeled by specifying the sequence of events that occur during the system's lifespan.
In a discrete-event simulation, the state of the system changes only when events occur, rather than continuously evolving over time. Events represent significant occurrences or activities within the system, such as customer arrivals, service completions, or resource allocations. Each event is associated with a specific time or occurrence point, and the simulation progresses by processing events in chronological order.
DES is particularly useful for modeling complex systems where the timing of events and their interactions play a crucial role. It allows for capturing the dynamic nature of the system, simulating the flow of entities (such as customers, vehicles, or messages) through the system, and observing the effects of event sequencing and resource allocation on system performance.
By simulating the system and observing the events and their consequences, DES enables analysts to evaluate different scenarios, study the impact of various parameters, and optimize system design or operation. It provides insights into system performance measures, such as throughput, waiting times, resource utilization, or customer satisfaction.
Overall, discrete-event simulation is a powerful technique for modeling and analyzing complex systems with discrete changes, events, and interactions over time.
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The model above is known as a discrete-event simulation model according to the output analysis.
A discrete event simulation is a type of computer-based modeling where a series of discrete events in a system are simulated.
In such models, the system under consideration evolves through a series of discrete events that are instantaneous.
For example, in the retail establishment model, each customer arriving at the store would be considered a separate, discrete event.
The simulation would model the sequence of events that occur between the time the store opens at 9 am and when the last customer leaves before closing time at 5 pm.
The objective of the simulation would be to estimate some measure of the quality of customer service during this time period.
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A car travels for 3 h at an average speed of 65 km/h. How far does
the car travel.
Answer:
195 km
Step-by-step explanation:
65 km/h x 3 h =
Answer:
195 km
Step-by-step explanation:
Time = 3hr
Speed = 65 km/hr
Distance = Speed x Time
Distance = 65 x 3
= 195 km
Determine whether the function f(x) = 8(0.61)^x shows exponential growth or decay