Does (4, 3) make the equation y=3x true?
Answer:
no
Step-by-step explanation:
y = 3x
Replace x with 4. replace y with 3.
3 = 3 × 4
3 = 12
Since 3 = 12 is a false statement, the answer is "no."
Answer: no
Answer:
no
Given linear equation is y=3x
x is independent and y is dependent variable.
Let's assign some values to x and find the corresponding values of y
x 1 2 −1 −2
y 3 6 −3 −6
So, the ordered pair of values of (x,y) are (1,3),(2,6),(−1,−3),(−2,−6)
Let's plot these points on a graph and then we get the above graph image
We get the slope as m=3 and it passes through (0,0).
Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.)
f(t) =
t, 0 ≤ t < 1
2 − t, t ≥ 1
L{f(t)} =
The Laplace transform is a mathematical technique used to convert a function of time, f(t), into a function of a complex variable, s. The transform is defined by an integral that takes the function f(t) and transforms it into the function F(s) defined by:
We can use the definition of Laplace transform to find L{f(t)}:
L{f(t)} = ∫₀^∞ e^(-st) * f(t) dt
For 0 ≤ t < 1, f(t) = t, so we have:
L{f(t)} = ∫₀¹ e^(-st) * t dt
Integrating by parts with u = t and dv/dt = e^(-st), we get:
L{f(t)} = [-te^(-st)/s]₀¹ + ∫₀¹ e^(-st)/s dt
= [-te^(-st)/s]₀¹ + [-e^(-st)/(s^2)]₀¹
= [e^(-s) - 1 + s]/(s^2)
For t ≥ 1, f(t) = 2 - t, so we have:
L{f(t)} = ∫₁^∞ e^(-st) * (2 - t) dt
Integrating by parts with u = 2 - t and dv/dt = e^(-st), we get:
L{f(t)} = [(2 - t)*e^(-st)/s]₁^∞ - ∫₁^∞ (-e^(-st)/s) dt
= [(2 - e^(-s))/s] - [e^(-s)/s^2]
Therefore, the Laplace transform of f(t) is:
L{f(t)} = [e^(-s) - 1 + s]/(s^2) for 0 ≤ t < 1
= [(2 - e^(-s))/s] - [e^(-s)/s^2] for t ≥ 1
Note: The square brackets [] indicate the limits of integration.
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Which graph shows the line y = 2x + 3?
Answer: Graph D
Step-by-step explanation:
The slope is 2
x goes after the slope in graph functions
The line goes through 3 on the y-axis so that’s where + 3 comes in.
2x + 3
Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?
Answer:
Step-by-step explanation:
Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?
THIS IS THE COMPLETE QUESTION BELOW;
1. Explain how you calculate the net force in any direction on the box.
2. Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?
3. What force could be applied to the box to make the net force in the horizontal direction zero? Explain.
4. Suppose a force of 25 N to the right is added to the box. What will be the net force to the right?
CHECK THE ATTACHMENT FOR THE FIQURE.
1)since the given horizontal forces are acting on the box at opposite direction then
NET FORCE= (100- 50)N
= 50N( this is because the 100N and 50N acting Horizontally will cancel each other, then the remaining force is 50N.
✓Since, the two vertical forces also acted on the box in opposite direction, then
NET FORCE= (25 25)N
= 0N
Note: horizontal forces are one acting from right to left and vice versa, while vertical forces are ones acting from up to down and vice versa.
HENCE, NET FORCE = 50N + 0N= 50N
2) since the net vertical force was 0N, if
15N force is added then we still have NET FORCE OF 15N
3) if force of 50N is applied to horizontal forces moving from left to right then NET HORIZONTAL FORCES= 0N
4) since, the net force for the box is 50N, if Horizontal force of 25N is added moving left to right then NET FORCE = 25N for whole box.
consider the equation y+4=-1/2(x+8)
The equation of the line in standard form is x + 2y = -16
What are linear equations?Linear equations are the set of equations that have constant slopes or gradient
How to put the equation of a line into standard form?From the question, we have the following equation that can be used in our computation:
y+4=-1/2(x+8)
Rewrite the above equation properly
So, we have the following representation
y + 4 = -1/2(x + 8)
Multiply through the equation by -2
So, we have the following equation
-2(y + 4) = -1/2(x + 8) * -2
Evaluate the products
-2y - 8 = x + 8
To rewrite as standard form is to make the variable stand alone
So, we have
-x -2y = 8 + 8
Evaluate the like terms
So, we have the following representation
-x -2y = 16
Multiply through by -1
x + 2y = -16
Hence, the equation is x + 2y = -16
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Possible question
consider the equation y+4=-1/2(x+8)
Put the equation of a line into standard form
$131,701. 32 is what percent of $790,207. 91?
To find the percentage, we can use the following formula:
Percentage = (Part / Whole) * 100
So, $131,701.32 is approximately 16.67% of $790,207.91.
In this case, the part is $131,701.32 and the whole is $790,207.91.
Percentage = ($131,701.32 / $790,207.91) * 100
Calculating the value:
Percentage ≈ 0.1667 * 100
Percentage ≈ 16.67%
Therefore, $131,701.32 is approximately 16.67% of $790,207.91.
Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:
Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%
So, $131,701.32 is approximately 16.67% of $790,207.91.
If you have any further questions, feel free to ask!
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Of the possible outcomes in the sample space, how many times does the event of rolling a multiple of two occur?
Answer:
dont know you know
Step-by-step explanation:
maybe try ask some one else i dont know
Answer:
The event of rolling a multiple of two occurs three times: rolling a two, four, or six.
Step-by-step explanation:
Plato/edmentum sample answer
Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. This week, she posted 1/3 of the remaining fliers. How many fliers has she still not posted?
The number of fliers that she has still not broadcasted will be 48 fliers.
What is Algebra?Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.
Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,
⇒ (1 - 1/5) x 90
⇒ (4/5) x 90
⇒ 72 fliers
This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,
⇒ (1 - 1/3) x 72
⇒ (2/3) x 72
⇒ 48 fliers
The number of fliers that she has still not broadcasted will be 48 fliers.
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For this season in baseball, Joseph hit approximately 2 out of every 5 at bats. If he was up at bat 1,000 times this season, estimate the number of hits he had.
Answer:
I estimate he hit 400 bats.
Step-by-step explanation:
I am going to set up a ratio to solve.
Joseph hits about 2 out of every 5 bats, and we want to find out the number of hits we had if he was up to bat 1,000 times.
\(\frac{2}{5} = \frac{x}{1000}\)
Cross multiply to solve.
2(1000) = 5(x)
2000 = 5x
Divide by 5 on both sides.
X = 400
I estimate he hit 400 bats.
A triangle has two sides measuring 8. 5 cm and 15 cm. What are the least and greatest whole number possibilities for the third side? enter your answers in the boxes.
The least whole number possibility for the third side is 8 cm. The greatest whole number possibility for the third side is 22 cm.
A triangle is a three-sided polygon. It is a geometric shape that has three edges and three vertices. Triangles can be classified based on their side lengths (such as equilateral, isosceles, or scalene) or based on the angles between their sides (such as acute, right, or obtuse). Triangles are a fundamental shape in geometry and are used in many branches of mathematics and physics. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Using this rule, we can find the possible range of values for the third side of the triangle.
The least possible length of the third side would be:
8.5cm + 15cm - 15cm = 8.5cm
The greatest possible length of the third side would be:
(8.5cm + 15cm) - 1cm = 22.5cm
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Solve for x. Figures are not necessarily drawn to scale.
Check the picture below.
\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)
the central limit theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small.a. trueb. false
According to Central Limit Theorem, Given Statement is false.
What exactly is Central Limit Theorem?
According to the central limit theorem, as long as the sample size is high enough, the sampling distribution of the mean will always be normally distributed.
This approach selects random samples of the population from a large population and estimates the mean. The sampling distribution of the mean will be normal regardless of whether the population has a normal, Poisson, binomial, or other distribution.
Now,
As The Central Limit Theorem states that the mean is always normallly
distributed.
so, the statement that the central limit theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small is false.
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What is the solution set of |-x| = -10?
(10)
7-10)
{-10, 10)
no solution
Answer:
{-10, 10)
Step-by-step explanation:
| | - means to only take the number inside, not the sign
x=-10 or 10
Answer:
i dont understand what you want me to answer
Step-by-step explanation:
What is the measure of each side?....please help
Answer:
Just do (2x-3)+(x-5)+(x)=180°
Step-by-step explanation:
It is sum of angles of triangle
sorry it took so long i was struggling on this question but heres the answer i go on the measurement on each side.
2x³ +13x³+15x
hope that helped you out ,also please mark me me brainiest and follow me:)
Help!
Is the data skewed or symmetric?
Answer:
i believe it is skewed. sorry if its wrong
Step-by-step explanation:
PLEASE HELP URGENT ILL HELP YOU PLEASE
Answer:
jes what are they doing to you
Step-by-step explanation:
find the value of x
The population of a city decreases by 4.3% per year. If this year's population is pp, which expression represents next year's population?
The population of a city decreases by 4.3% per year. If this year's population is pp, then (100 - 4.3)% of this year's population would be left in the next year's population.
A city's population shrinks by 4.3% yearly. If the population of this year is pp, then the population of the following year would consist of (100 - 4.3%)% of the current population. Explanation:If this year's population is pp, then the population of the city will be (100 - 4.3)% of this year's population for the next year.Therefore, the expression that represents the next year's population ispp × (100% - 4.3%) = pp × 95.7%Alternatively, another expression that represents the next year's population ispp - 4.3/100 × pp = pp - 0.043pp = 0.957ppThus, the answer is pp × (100% - 4.3%) = pp × 95.7% or pp - 4.3/100 × pp = pp - 0.043pp = 0.957pp.
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use appendix table 5 and linear interpolation (if necessary) to approximate the critical value 0.15,10.value t0.15,10. (use decimal notation. give your answer to four decimal places.)
The approximate critical value t0.15,10 using linear interpolation is 1.8162.
Using Appendix Table 5, we need to approximate the critical value t0.15,10. For this, we'll use linear interpolation.
First, locate the values in the table nearest to the desired critical value. In this case, we have t0.15,12 and t0.15,9. According to the table, these values are 1.7823 and 1.8331, respectively.
Now, we'll apply linear interpolation. Here's the formula:
t0.15,10 = t0.15,9 + (10 - 9) * (t0.15,12 - t0.15,9) / (12 - 9)
t0.15,10 = 1.8331 + (1) * (1.7823 - 1.8331) / (3)
t0.15,10 = 1.8331 + (-0.0508) / 3
t0.15,10 = 1.8331 - 0.0169
t0.15,10 ≈ 1.8162
So, the approximate critical value t0.15,10 using linear interpolation is 1.8162.
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450 kid and chaperone total go to a field trip to the zoo. Each bu hold 80 paenger; how many bue will be needed to tranport all the paenger?
With 450 kids and chaperone there are 451 passengers to be transported, Using simple unitary method, The answer is 6 buses.
What do you mean by unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
What do you mean by arithmetic operators?The arithmetic operator is used to carry out mathematical operations on the provided operands, including addition, subtraction, multiplication, division, and modulus.
total members to be transported = 451
each bus hold = 80
Number of bus needed = 451/80 = 5.63
So, We need 6 buses in total.
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If Jenny had one apple and she added another apple to the basket how many apples would she have
Answer:
2 apples
Step-by-step explanation:
It is because she had 1 apple then she added another which made it 2.
Use the law of sines to find the length of side c
Answer:
B. 44.93
Step-by-step explanation:
The law of sines states
\(\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}\)
where a, b and c are the 3 sides of the triangle and A is the angle opposite side a, B the angle opposite side b and C the angle opposite side c
In this particular problem we have
side a = 44, angle A = 46.7
side c = ? , angle C = 48
So 44/sin(46.7) = c/sin(48) or by multiplying both sides by sin(48)
c = sin(48) * 44/sin(46.7) = 44.92937 which is 44.93 rounded to 2 decimal places
Where on the position graph is the
velocity negative?
А)
B
E
t
Remember, velocity = slope of the position graph.
A. from C to E
B. from B to D
C. only from C to D
D. nowhere
Explanation:
As the hint suggests, the velocity corresponds to the slope of the tangent line. As the curve goes downhill, when moving left to right, the tangent slopes will be negative.
In short, the downhill motion indicates we have negative velocity. This occurs on the portion from B to D on the curve. You can think of it like a rollercoaster. When going from D to F is when the curve goes uphill again and we have positive velocity.
Positive velocity = object is speeding up
Negative velocity = object is slowing down
if f(x) = 3x -8, find f(6)
Answer:
f(6) = 3×6 - 8 = 10Step-by-step explanation:
To understand this, you have to take the f(6) as a x-value(input) and it will give output as 10.First multiply 6 by 3 and subtract 8 from it.I am sure that this helps ☺️❤️Please mark me as the brainliestAnswer:
The answer is 10
Step-by-step explanation:
f(x) = 3x - 8; f(6)
f(6) = 3(6) - 8
f(6) = 18 - 8
f(6) = 10
Thus, The answer is 10
-TheUnknownScientist 72
Which of the following is the inverse of the statement, "If i listen to this song, then it will get stuck in my head"?
If it gets stuck in my head, then i listened to the song.
Find the condition that one root of x² + sx+F= 0 May be
Five times the other
Let α be one root of the quadratic equation x² + sx + F = 0. If β is the other root, then we have: Therefore, the condition is that the sum of roots of the quadratic equation x² + sx + F = 0 must be zero.
Let α be one root of the quadratic equation x² + sx + F = 0. If β is the other root, then we have:
α + β = -s (sum of roots)
αβ = F (product of roots)
We are given that α is five times β, i.e., α = 5β. Substituting this in the first equation, we get:
5β + β = -s
6β = -s
β = -s/6
Using this value of β, we can find the corresponding value of α:
α = 5β = -5s/6
So, the condition for one root to be five times the other is:
α = 5β or -5s/6 = 5(-s/6)
s = 0
Therefore, the condition is that the sum of roots of the quadratic equation x² + sx + F = 0 must be zero.
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What is the greatest common factor of 6x^2+18x-36
Answer:
6
Step-by-step explanation:
suppose act composite scores are normally distributed with a mean of 21.3 and a standard deviation of 5.3 . a university plans to admit students whose scores are in the top 45% . what is the minimum score required for admission? round your answer to the nearest tenth, if necessary.
To find the z-score corresponding to the 55th percentile. This z-score is approximately 0.13. The minimum score required for admission is approximately 22.0.
To determine the minimum score required for admission, we need to consider that ACT composite scores are normally distributed with a mean (µ) of 21.3 and a standard deviation (σ) of 5.3. The university plans to admit students in the top 45%, which means that we need to find the cutoff score corresponding to the 55th percentile (since 100% - 45% = 55%).
Using a standard normal distribution table or a calculator with a built-in function, we can find the z-score corresponding to the 55th percentile. This z-score is approximately 0.13.
Now, we'll use the z-score formula to find the minimum score required for admission:
X = µ + (z * σ)
Where X is the minimum score, µ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values:
X = 21.3 + (0.13 * 5.3)
X ≈ 21.3 + 0.689 = 21.989
Rounding the score to the nearest tenth, the minimum score required for admission is approximately 22.0.
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in a circle of radius 3.4 cm, what is the length of the arc opposite a central angle that measures 46 degrees?
The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.
What is circle?
The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.
in a circle of radius 3.4 cm
central angle that measures 46 degrees
length of arc = (46/360) * 2π*3.4
=2.72cm
Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm
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Which of the following represents the translation of M(8,−2) along vector <−5, 1> and its reflection across the y-axis?
Answer:
M (8, −2) → M ′(3, −1) → M ″(−3, −1)
Step-by-step explanation: