Answer:
Around 2.23606798
Step-by-step explanation:
5 is not a perfect square. The only best option would be to insert it to a calculator, which would be 2.236 rounded to the nearest thousandth.
Choose all of the options below that are graphs of quadratic functions.
The graphs of quadratic functions are:
B, D, and F.
Which ones are graphs of quadratic functions?The graph of a quadratic function is a parabola. This is, a shape like an "U", such that the arms extend as it goes up/down.
From the given options, the ones that are parabolas are:
B: We can see a parabola that opens downwards.
C: We can see a parabola that opens upwards.
F: we can see a parabola that opens upwards.
So these 3 are the correct options.
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Your parents have said that you can invite four friends to a game. The price of the tickets is listed below. If you purchase your tickets before May 30th, you will receive a 10% discount. Today is May 10th.
Tickets Sold Ticket Price
1 ticket $30 total
2 tickets $55 total
4 tickets $105 total
What is the cost of 5 tickets when purchased after May 30th? _
What is the cost of 5 tickets when purchased before May 30th?_
Answer:
5 tickets after may 30th would be $135.
5 tickets before may 30th would be $121.50
Step-by-step explanation:
If you buy the 4 tickets + the one ticket you would get $135 for after may 30th then multiply that by .1 to get 121.5 for before may 30th with the 10% off.
Write the equation of the line that is parallel to
y = 3x + 4 and passes through point (-2, 4).
y = 3x - 2
y = 3x + 8
y = 3x + 10
Answer:
y = 3x + 10
Step-by-step explanation:
Parallel lines have the same slope, so the line will have a slope of 3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
4 = 3(-2) + b
4 = -6 + b
10 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = 3x + 10
So, the equation of the line is y = 3x + 10
This graph appeared in a local newspaper after a recent election.
Roberts Wins by Wide Margin
Do you agree with the message in the graph title? Why or why not?
a.No, the three candidates were only separated by a margin of about 2%.
b.Yes, Roberts had twice as many votes as Johnson and four times as many as Gomez.
c.No, newspapers are always slanted towards the candidate they favor.
d.Yes, the bar for Roberts is a lot taller than the bars for Johnson and Gomez.
Please select the best answer from the choices provided
>>>>>THE ANSWER IS A<<<<<<
The correct statement regarding the message in the graph title is of:
a. No, the three candidates were only separated by a margin of about 2%.
What is shown on the bar graph?The bar graph shows the number of votes obtained by each candidate, which are listed as follows:
Candidate Johnson: 940 votes.Candidate Roberts: 980 votes.Candidate Gomez: 920 votes.These amounts of votes where quite close, however the bar graph has a bad scale, giving the idea that Roberts got about the double number of votes as Johnson and four times as Gomez.
This bad scale is also used to insert the word wide into the text of the article. However, due to the low absolute difference in the number of votes between these candidates, this work is not correct, and hence, option a is correct.
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It takes Cynthia 9 hours to proof a chapter of Hawkes Learning Systems' Introductory Algebra book and it takes Phillip 6 hours. How long would it take them working together
Step-by-step explanation:
C rate = 1 chapter / 9 hr = 1/ 9 chap/hr
P rate = 1/6
together :
1 chapter / ( c rate + p rate) = 1 /( 1/9 + 1/6) = 1/ ( 2/18 + 3/18) = 1/ (5/18) =
18/5 hr = 3 3/5 hr
It would take Cynthia and Phillip 3.6 hours working together to proof a chapter of Hawkes Learning Systems' Introductory Algebra book.
To find out how long it would take Cynthia and Phillip working together to proof a chapter of Hawkes Learning Systems' Introductory Algebra book, we can use the work formula:
Work = Rate × Time
First, we'll find the individual rates for Cynthia and Phillip:
- \(Cynthia's rate:\frac{1 chapter}{9 hours}\)
- \(Phillip's rate:\frac{1 chapter}{6 hours}\)
Now, we'll add their rates together to find their combined rate:
\(Combined rate = \frac{1}{9} + \frac{1}{6}\)
To add these fractions, we need a common denominator, which is 18:
\(Combined rate = \frac{2}{18} + \frac{3}{18}=\frac{5}{18}\)
Now, we'll use the work formula to find the time it would take for them to complete the proofreading together. Since they're working on 1 chapter, we can set Work equal to 1:
\(1 = \frac{5}{18} (time)\)
Next, we'll solve for Time:
\(Time = 1 (\frac{5}{18})\)
\(Time=1 (\frac{18}{5})\)
\(Time = \frac{18}{5} = 3.6 hours\)
So, it would take Cynthia and Phillip 3.6 hours working together to proof a chapter of Hawkes Learning Systems' Introductory Algebra book.
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13) maths equations answer??.. .
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\( \frac{3x}{x - 2} = 7 \\ \)
Multiply sides by ( x - 2 )
\((x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ \)
Simplification
\(3x = 7x - 14\)
Subtract sides 7x
\( - 7x + 3x = - 7x + 7x - 14\)
Simplification
\( - 4x = - 14\)
Negatives simpliflies
\(4x = 14\)
Divide sides by 4
\( \frac{4x}{4} = \frac{14}{4} \\ \)
\(x = \frac{7}{2} \\ \)
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Answer:
x = \(\frac{7}{2}\)
Step-by-step explanation:
Given
\(\frac{3x}{x-2}\) = 7 ( multiply both sides by x - 2 )
3x = 7(x - 2) ← distribute
3x = 7x - 14 ( subtract 3x from both sides )
0 = 4x - 14 ( add 14 to both sides )
14 = 4x ( divide both sides by 4 )
\(\frac{14}{4}\) = x , that is
x = \(\frac{7}{2}\)
5- Observá el cartel y resolvé calculando el m.C.M entre las cantidades. FRECUENCIA A Mar del Plata, cada 2 horas A Necochea , cada 4 horas A San Clemente, cada 6 horas a) Si acaba de partir un micro a cada destino, ¿cuántas horas pasarán para que vuelvan a salir tres micros al mismo tiempo?
Respuesta:
12 horas
Explicación paso a paso:
Dado que :
A Mar del Plata = cada 2 horas
A Necochea = cada 4 horas
A San Clemente = cada 6 horas
Número de horas que tardarán los 3 autobuses en salir al mismo tiempo, si ambos salieron ahora;
Tome el mínimo común múltiplo de los 3 autobuses:
Múltiplos de:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
4: 4, 8, 12, 16, 20, 24, 28, 32
6: 6, 12, 18, 24, 30, 36, 42
El mínimo común múltiplo de 2 horas, 4 horas y 6 horas es 12;
Por lo tanto, los 3 autobuses saldrán a la misma hora en las próximas 12 horas:
Please answer the following question for 85 points.
Answer:
188.4 cm²
Step-by-step explanation:
Surface area of rectangles :-
A = 15cm * 5 cm * 2 A = 150 cm²Surface area of triangles :-
A = 2 * 1/2 * 4cm * 4.6 cm A = 18.4 cm²Surface area of middle rectangle :-
A = 4cm * 5cm A = 20 cm²Total Area :-
A = ( 150 + 18.4 + 20 ) cm²A = 188.4 cm²Answer:
Solution given:
Total surface area of triangular prism=
area of two triangle +2*area of rectangle+area of base
=2*½*4*4.6+2*15*5+15*4
=228.4cm²
The area of triangular prism=228.4cm²
What is the relationship between mass and energy?
A. Mass does not effect energy
B. The greater the object's mass, the more energy it will have
C. The greater the object's mass, the less energy it will have
D. The greater the object's energy, the more mass it will have
The correct answer is D. The greater the object's energy, the more mass it will have.
According to Einstein's theory of relativity and the famous equation
E = mc²
energy is E and mass is m are interrelated.
The equation states that energy is equal to mass times the speed of light squared. This equation implies that energy and mass are interchangeable and that mass can be converted into energy and vice versa. Therefore, the greater the energy of an object, the more mass it will have, and vice versa.
The correct answer is D. i.e. The greater the object's energy, the more mass it will have.
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Determine whether it is possible to find values of L > 0 so that the given boundary-value problem has precisely one nontrivial solution, more than one solution, no solution, and the trivial solution.
To determine the solutions to the given boundary-value problem, we must first analyze the values of L. If L is greater than 0, then we can use Sturm-Liouville theory to solve the problem.
If L is chosen in such a way that the boundary-value problem has a unique solution, then we have precisely one nontrivial solution. However, if L is chosen so that there are multiple solutions, we have more than one solution.
If L is chosen in such a way that the boundary-value problem has no solution, then there are no solutions, including the trivial solution. The trivial solution is the solution where all the unknowns are set to zero.
Therefore, it is possible to find values of L > 0 so that the given boundary-value problem has precisely one nontrivial solution, more than one solution, no solution, and the trivial solution depending on how L is chosen.
Involving values of L > 0, boundary-value problems, and nontrivial solutions. To determine whether it is possible to find values of L > 0 so that the given boundary-value problem has precisely one nontrivial solution, more than one solution, no solution, and the trivial solution, follow these steps:
1. Identify the boundary-value problem in question. This typically involves a differential equation and boundary conditions.
2. Analyze the boundary conditions and the differential equation to see if there is a possibility of finding values of L > 0 that satisfy the problem.
3. Determine if there is a trivial solution, which typically corresponds to a zero solution, where all the components of the solution are zero.
4. Check for the existence of nontrivial solutions. This may involve solving the differential equation for particular values of L > 0 and applying the boundary conditions.
5. Compare the results from steps 3 and 4 to determine if there is precisely one nontrivial solution, more than one solution, no solution, or only the trivial solution.
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2/3 : 1 in its simplest form
Answer:
2 : 3
Step-by-step explanation:
You need to show the ratio using the smallest whole numbers possible.
Multiply both numbers by 3.
2/3 : 1
2/3 × 3 : 1 × 3
2 : 3
Let Pij = the production of product i in period j. To specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units, we need to add which pair of constraints?
P52-P42 <= 80; P42-P52 <= 80
None of the other above.
P24 - P25 <= 80; P25-P24 >= 80
O P24 - P25 >= 80; P25-P24 >= 80
P24 - P25 <= 80; P25-P24 <= 80
The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.
Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.
Therefore, we can write the following inequalities:
P24 - P25 <= 80
This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.
P25-P24 <= 80
This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.
Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.
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y=3x-2
y=2x-5
how to solve this math problem
Answer:
x = -3
y = -11
Step-by-step explanation:
You want to substitute one of the y's
3x - 2 = 2x - 5
+2 +2
3x = 2x - 3
-2x -2x
x = -3
now that you have x, you need to substitute the x to get y
y = 3x - 2
y = 3(-3) - 2
y = -9 - 2
y = -11
or
y=2x-5
y = 2(-3) - 5
y = -6 - 5
y = -11
*they will both be the same no matter which equation you use
Hope this helped!
A rectangular toolbox has a length of 20 inches, The width of the toolbox is 7 inches and it's height is 7.5 inches. How much metal would be needed to make the toolbox?
ok
I'll calculate the surface area to answer your question.
Area of the base and top = 2x20x7 = 280 in^2
Area of the frontal and behind faces = 2 x 7x7.5 = 105 in^2
Area of the left and right faces = 2x20x7.5 = 300 in^2
Total area = 280 + 105 + 300
= 685 in^2
The amount of wood needed is 685 in^2
the total cost of a laptop computer is $1278.24. The local sales tax rate is 7.6% what is the retail price?
Answer:
x = 1187.96
Step-by-step explanation:
Let x = price before tax
tax = x* 7.6%
tax = .076x
The cost of the computer is price before tax plus tax
cost = x + .076x
cost = 1.076x
1278.24 = 1.076x
Divide each side by 1.076
1278.24/1.076 = 1.076x/1.076
x=1187.9553
Rounding to the nearest cent
x = 1187.96
… I hope this help you
A gardener took 300 watermelons to market and sold three quarters of them, for $2.30 each. The rest was sold for $1.90. Calculate the total amount of money received by the gardener.
Answer:
660$
Step-by-step explanation:
3/4 x 300 = 225
225 x 2.30= 517.5
300-225= 75
75 x 1.90= 142.5
142.5$ + 517.5$= 660$
Answer:
$660
Step-by-step explanation:
3/4×300=225
225×$2.30=$517.5
300-225=75
75×$1.90=$142.5
$517.5+$142.5=$660
Order numbers from least to greatest: 4 3/4, -2 1/2, -8/3, 9/2
Answer:
-8/3 < -2 1/2 < 9/2 < 4 3/4
Step-by-step explanation:
-2.667 < -2.5 < 4.5 < 4.75
34.7 divided by 4 HELP ME PLZZZZZ
Answer:
347/40
Step-by-step explanation:
34.7/4 = 34 7/10 / 4
= 347/10 / 4
= 347/40
how do i solve this question?
Answer:
D
Step-by-step explanation:
On Wednesday, the temperature dropped and average of 4 per hour. Which integer represents the change in temperature from 10:00 am to 2:00 pm
Answer:
-16
Step-by-step explanation:
The integer that represents the change in temperature from 10:00 am to 2:00 pm is 16.
What is rate of change?The rate of change of variable {say (y)} with respect to {say (x)} is given by -
r = Δy/Δx
or
r = (y₂ - y₁)/(x₂ - x₁)
Given is that on wednesday, the temperature dropped at an average of 4°C/hr.
Now, from 10:00 am to 2:00 pm, there are 4 hours. So, there will be a drop of 16°C from 10:00 am to 2:00 pm.
Therefore, the integer that represents the change in temperature from 10:00 am to 2:00 pm is 16.
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What is 1 637,984 to the nearest whole number
Convert 4/7 to 42nds
Answer:
24... I hoped dis helped.
Explain how the sample you collect can affect your understanding of a population.
Use the word representative in your response.
The sample we collect plays a cruciThe sample we collect can significantly affect our understanding of a population,
especially when it comes to making generalizations or drawing conclusions about the entire population based on the sample data. The key aspect in this regard is whether the sample is representative of the population.
A representative sample is one that accurately reflects the characteristics, diversity, and distribution of the population from which it is drawn. When our sample is representative, we can have greater confidence in generalizing the findings from the sample to the larger population. However, if our sample is not representative, our understanding of the population may be biased or limited.
In the provided example, the given data represents different age groups and their reported time spent with friends per day. If we were to collect a sample from this population, it would be crucial to ensure that the sample includes individuals from each age group in proportion to their representation in the population. This would help ensure that our sample accurately reflects the age distribution of the population.
If our sample is not representative, it may lead to inaccurate conclusions. For instance, if we only surveyed individuals from the age group 55-64 and ignored the other age groups, our understanding of the population's time spent with friends would be limited to that specific age group. We wouldn't be able to generalize our findings to the entire population because we would have missed important variations in behavior across other age groups.
To improve the representativeness of our sample, we could use random sampling techniques, such as simple random sampling or stratified sampling, to ensure that individuals from all age groups are included in the sample. By doing so, we can enhance our understanding of the population as a whole and make more accurate inferences.
In conclusion, the sample we collect plays a crucial role in shaping our understanding of a population. A representative sample enables us to make valid generalizations and draw reliable conclusions about the entire population. It ensures that the characteristics and diversity of the population are properly reflected in the sample, allowing for more accurate insights and informed decision-making.al role in shaping our understanding of a population
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Dan have 12 books on his shelf that he has not read yet.There are seven novel and five biographies.He wants to take 4 books with him on vacation.What is the probability that he randomly select two novels and 2 biographies?
Using combination, the probability that he randomly selects two novels and biographies is 0.42
What is the probability that he randomly selects two novels and two biographies?We can find the probability in this problem by using combinatorics
The total number of ways to select two novels from the seven available is given by the combination formula: C(7, 2) = 7! / (2! * (7-2)!) = 21.
Similarly, the total number of ways to select two biographies from the five available is: C(5, 2) = 5! / (2! * (5-2)!) = 10.
The total number of ways to select any four books from the 12 available is: C(12, 4) = 12! / (4! * (12-4)!) = 495.
Therefore, the probability of selecting two novels and two biographies is: (21 * 10) / 495 = 0.4242 (rounded to four decimal places) or approximately 42.42%.
So, the probability that Dan randomly selects two novels and two biographies from his collection of 12 books is approximately 42.42%.
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ly| ≤3
Are the lines on graph at 3 and -3 also part of the answer?
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
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To the nearest hundredth, what is the volume of the sphere? (Use 3.14 for л.) 48 mm mm ³
Answer:
Step-by-step explanation:
Volume of Sphere =4/3л\(r^{3}\) = (4/3)*3.14*48*48*48 = 463011 \(mm^{3}\) =46300
CAN YOU PLEASE HELPPPPP!!!!!!!!! PLSSS
Answer:
y= -3/8x + 1
Step-by-step explanation:
-4 = x1
5 = y1
y-y1=m(x-x1)
y-5 = -3/8(x-(-4)
y-5 = -3/8x + -3/2
+5 +5
y= -3/8x + 1
y = -3/8x + 3.5
I suggest you check this by graphing the two equations on the Desmos graphing calculator first just to make sure. Hope this helps, have a good day.
0.76 = ____%
0.76 = ____%
Answer: 76%
Step-by-step explanation:
Answer: 76%
Step-by-step explanation:
If you know the value of sin(30°), which of the following can you calculate directly through using the half angle formula?
cos(30°)
sin(45°)
sin(15°)
sin(60°)
Answer:
cos(30)
Step-by-step explanation:
Answer:
sin(15)
Step-by-step explanation:
Find the minimum value of the parabola y = x2 + x- 11/2
The minimum value of the parabola for the equation y = x² + x - 11/2 is equal to -23/4.
Parabola equation is equal to,
y = x² + x - 11/2
Vertex of the parabola is equal to,
By using the formula for the x-coordinate of the vertex,
x = -b/2a
where a is the coefficient of the x² term,
And b is the coefficient of the x term.
Here,
a = 1 and b = 1
Vertex of the parabola is equal to,
x
= -1/(2×1)
= -1/2
This implies,
The corresponding y-coordinate of the vertex,
Substitute this value of x into the equation for y we have,
y = (-1/2)² + (-1/2) - 11/2
⇒ y = 1/4 - 1/2 - 11/2
⇒ y =( 1 -2 -22 ) /4
⇒ y = -23/4
Therefore, the minimum value of the parabola y = x^2 + x - 11/2 is -23/4 and it occurs when x = -1/2.
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