Answer: 9.7 seconds
Step-by-step explanation:
\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)
How many times do the graphs of the equations y = 2x + 4 and y = −x + 4 intersect?
Answer: They both intersect once.
Step-by-step explanation: Solving for x, we get:
3x = 0
x = 0
Now we can substitute x = 0 into either equation to find the y-coordinate:
y = 2(0) + 4 = 4
So the two lines intersect at the point (0,4).
Therefore, the graphs of the equations y = 2x + 4 and y = −x + 4 intersect once.
Answer:
It intersects once.
Step-by-step explanation:
To plot y = 2x + 4, you start at the y-intercept which is 4. Then you go up 2 times, and to the right once.
To plot y = -x + 4, you start at the y-intercept which is also at 4. Then you go down once and to the right one time.
The graph will intersect at (0, 4).
There is a light pole that casts a shadow that is 75 feet. At the same time, there is a stop sign that is 8 feet tall and casts a shadow that is 12 feet. How tall is the light pole? If necessary, round your answer to the nearest tenth.
Answer: Therefore, the height of the light pole is 50 feet.
Step-by-step explanation:
We can use proportions to solve the problem.
Let h be the height of the light pole.
Then, we have:
h / 75 = 8 / 12
To solve for h, we can cross-multiply:
12h = 75 * 8
h = (75 * 8) / 12
h = 50
How many time Martha must measure 1/4 cup of blueberries to have enough for the fruit salad ?
Answer:
youre a rude person who doesnt deserve an answer
Step-by-step explanation:
measuring the entire population is usually preferred over measuring a sample from the population.
T/F
The given statement "Measuring the entire population is usually preferred over measuring a sample from the population" is False because measuring the entire population is often impractical or impossible.
When dealing with large populations, it is typically more feasible to gather data from a representative sample rather than measuring the entire population. This approach saves time, resources, and effort. Sampling allows statisticians to make reliable inferences about the population based on the characteristics observed in the sample.
Carefully chosen samples can accurately reflect the population's attributes and provide valuable insights.
However, it is crucial to ensure that the sample is representative and unbiased to avoid potential sampling errors and ensure the validity of the conclusions drawn from the data.
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What's the area of this tile?
the area of the tile is 24 in^2
please help me its due soon and I don’t get it!!
Answer:
Step-by-step explanation:
These are tough, so picture a line ( graph) going up the picture.
I'm attaching my graph
M = 10*R
each raffle ticket cost 10 bucks
Given a function f(x). Suppose that Newton's interpolating polynomial P 2(x) of f(x) at the points x 0 =−3,x 1 =1 and x 2 =2 is P 2 (x)=x 2 +x+2. Calculate f[x0 ,x 1 ].
a. 4 b. −4 c. −3 d. −1
The value Newton's interpolating polynomial P 2(x) of f(x) of f[x0, x1] is -4.
In Newton's interpolating polynomial, the coefficients of the linear terms (x) correspond to divided differences. The divided difference f[x0, x1] represents the difference between the function values f(x0) and f(x1) divided by the difference between x0 and x1.
Since we are given P2(x) = \(x^2 + x + 2\), we can substitute the given x-values into P2(x) to find the corresponding function values.
For x0 = -3, substituting into P2(x) gives f(-3) = \((-3)^2 + (-3) + 2 = 12\).
For x1 = 1, substituting into P2(x) gives f(1) = \((1)^2 + (1) + 2 = 4\).
To calculate f[x0, x1], we need to find the divided difference between these two function values: f[x0, x1] = (f(x1) - f(x0)) / (x1 - x0) = (4 - 12) / (1 - (-3)) = -8 / 4 = -2.
Therefore, f[x0, x1] = -2, and the correct answer choice is b. -4.
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A significance test about a proportion is conducted using a significance level of 0.05. The sample statistic is 0.12. The p-value is 0.03.
a) If H0 were true, for what probability of a Type I error was the test designed?
b) What conclusion (reject or fail to reject) would you make for this test?
c) If this test resulted in a decision error, what type of error was it?
In a: Type 1 error = 0.05, In b: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis. In C: Type 1 error
a) Type 1 error = 0.05
b) When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 and interpreted in the following way: A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
0.03 < 0.05
c) Type I and type II errors. ... In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is failing to reject a false null hypothesis (also known as a "false negative" finding). so Type 1 error
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Write a rational function with an x-intercept at (-9,0), a vertical asymptote at x=3, and a hole located at (1,-5). Then, identify the horizontal asymptote.
Answer:
The rational function is \(f(x) = \dfrac{x^2 + 8\cdot x - 9}{x^2 - 4 \cdot x + 3}\)
The horizontal asymptote occur at y = 1
Step-by-step explanation:
Given that the function has an x-intercept at (-9, 0), we have;
(x + 9) is a factor of the function
Also, given that the function has a vertical asymptote at x = 3, we have that a factor of the denominator of the function is (x - 3)
With a hole at (1, -5), we have, (x - 1) in both the numerator and the denominator and when x = 1, f(x) = -5
The general form of the function can be presented as follows;
f(x) = ((x + 9)·(x - 1))/((x - 3)(x - 1)) = (x² + 8·x - 9)/(x² - 4·x + 3)
Given that the power of the numerator and the denominator are equal, the horizontal asymptote occur at ratio of the leading coefficient of the numerator and the denominator which from the above equation is 1/1 = 1
The horizontal asymptote occur at y = 1
Please find attached the graph of the function created with Microsoft Excel
I need help ASAP pleaseee!!
Answer:
Vertex(1,7)
Vertex form: \(f(x)=-2\left(x-1\right)^2+7\)
Step-by-step explanation:
Vertex form equations for x is \(v=-\frac{b}{2a}\)
which the vertex here is
\(-\frac{4}{2\left(-2\right)}\)
->
x = 1, plugin to find y, y = 7
rfggdgdgedrdgd
ggdgdgdgdrgdgdgd
Answer:
rrfgggefgegeegfegefegegeegfgfgfdfefdfefgdfdfdddgedgdfdgedfgfedffdddfgfdgddfddfgdfdgdf
3. Milo's dog weighs 18.25 pounds. Kristen's dog weighs 2.5 pounds less than Milo's dog. How much does Kristen's dog weigh? (A) 13.25 pounds B 15.75 pounds © 16.75 pounds D 20.75 pounds
Answer:
(B). 15.75
Step-by-step explanation:
If Kristens dog weighs 2.5 pounds less, then you just have to subrtact 2.5 from 18.25
The answer is B. 15.75 pounds. Kristen's dog weighs 2.5 pounds less than Milo's dog which is 18.25. So, all you have to do is subtract 2.5 from 18.25. 18.25 - 2.5 = 15.75.
A car is traveling at 35 mi/hour. What is the car's speed in feet per second? ft ww 35 mi hr sec (Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.).
A car is traveling at the speed of 35 miles per hour, and its speed in feet per second will be equal to 51.33 feet per second.
What is Speed?The amount of the shift in approach per time unit or the size of the shift to the right over time for just an object can be used to describe speed, which in everyday language and kinematics is a scalar quantity.
As a time interval's duration goes closer to zero, the beginning speed serves as that of the maximum permitted speed.
The speed of the car in miles per hour = 35 miles/hour
Multiply it by 1.46 to convert the speed to feet/second.
35 × 1.46 = 51.33 feet/second.
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Thursday: For the equation y=3x+5 what is the value of x when y=11? * *
Answer:
\(\huge\boxed{\bf\: 2 = x}\)
Step-by-step explanation:
Given,
y = 11We need to find x.
Equation: y = 3x + 5.
On solving,
\(y = 3x + 5\\(11) = 3x + 5\\11 - 5 = 3x\\6 = 3x\\6 \div 3 = x\\\boxed{\bf\:2=x}\)
\(\rule{150pt}{2pt}\)
Which fraction is equivalent to 2/2
Answer:
5/5, 4/4, etc
Step-by-step explanation:
2/2 is a form of 1, so if the numerator and denominator are the same number, it will be equivalent to 2/2
Answer:
3/3
Step-by-step explanation:
A clothing store is having a clearance sale. The advertisement says "All shirts one
price! All pants one price! Julie bought 4 shirts and 6 pants for $86. Kris bought
8 shirts and 7 pants for $117. Find the price for each piece of clothing.
Answer: Each article of clothing is $7.80
Step-by-step explanation:
To find this, you simply divide the total cost by the number of clothing items to get your answer.
What can we conclude if the omnibus null hypothesis is rejected in a one-factor anova?
Answer:
Not all the means are equal.
Step-by-step explanation:
In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.
So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.
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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).
It establishes the relation that:
ESS + RSS = TSS.
If we reject the omnibus null hypothesis, then it means that:
at least one of the population means is different from at least one other population mean.
Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
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91 is 70% of what number?91 is 70% of what number?
Answer: 91 is 70% of 130
Step-by-step explanation:
:)
Answer:
130
Step-by-step explanation:
70% of 130 = 91
Consider r (x) = StartFraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline EndFraction, where a, b, c, and d are positive integers and b < d. What value does r(x) approach as x approachesInfinity? 0 StartFraction a Over c EndFraction StartFraction b Over d EndFraction Infinity
Answer:
The correct answer is 0 or choice A on edge
Step-by-step explanation:
right on edge
Therefore, value of r(x) as x approaches Infinity : zero
\(\bold{\lim_{x \to \infty} r(x)=0}\)
What is function?"A function is a special relationship where for each input and their is single outputs."
What is limit?"Limit is defined as the value that a function approaches for the given input value."
For given situation,
We have been given a function,
r (x) = Start Fraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline End Fraction
We can rewrite it as,
\(r(x)= \frac{ax^b+8}{cx^d}\) , where a, b, c, and d are positive integers and b < d.
We need to find the value of r(x) approach as x approaches Infinity.
This means, we need to find the value of the limit \(\lim_{x \to \infty} r(x)\)
Now, we find the value of limit for given function.
\(\lim_{x \to \infty} r(x)\)
= \(\lim_{x \to \infty} \frac{ax^b+8}{cx^d}\)
= \(\lim_{x \to \infty} (\frac{ax^b}{cx^d} + \frac{8}{cx^d})\)
= \(\lim_{x \to \infty} \frac{a}{cx^(d-b)} + \lim_{x \to \infty} \frac{8}{cx^d}\) ...............(since d > b)
= \(0 + 0\)
= \(0\)
Therefore, \(\bold{\lim_{x \to \infty} r(x)=0}\)
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Consider the initial value problem y'' + αy' + βy = 0, y(0) = −3, y'(0) = k, where α,β and k are constants. It is known that one of the differential equation is y_1(t) = e^(−4t) and the solution of IVP satisfies lim t→[infinity] y(t) = 10. Determine the constants α,β and k. This is differential equations so please do not respond unless you are able to solve the problem.
Answer:
Step-by-step explanation:
Consider the initial value problem y'' + αy' + βy = 0, y(0) = −3, y'(0) = k, where α,β and k are constants. It is known that one of the differential equation is y_1(t) = e^(−4t) and the solution of IVP satisfies lim t→[infinity] y(t) = 10. Determine the constants α,β and k. This is differential equations so please do not respond unless you are able to solve the problem.
What is the absolute value of -2.7?
Answer:
2.7
Step-by-step explanation:
if it shows this then [-2.7] its just the number like this [2.7] its the same answer.
Christina wants to buy shirts that cost $17.00 each. If x represents the number of shirts Christina buys, which equation shows the amount of money (M) she will pay for the shirts?
Answer: 17x
Step-by-step explanation:
From the question, we are informed that Christina wants to buy shirts that cost $17.00 each and we are further told that x represents the number of shirts Christina buys.
The equation shows the amount of money (M) she will pay for the shirts will be gotten by multiplying the amount of the each shirt by the total number of shirts bought. This will be:
= 17 × x
M = 17x
A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3
What are the correct answers?
Answer:
A function is a relation between sets where for each input, there is exactly one output.
1) Yes
2) Yes
3) Yes
4) No
Answer:
1) Yes
2) Yes
3) Yes
4) No
Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.
Answer:
The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.
Wavelength of light = velocity of light / frequency of light
λ = v/f
λ = Wavelength of light, meters
v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)
f = frequency of light, Hz
Step-by-step explanation:
What is the length of this leg?
Find the selling price of each item. Show work for full credit.
Original Price of a truck: $47,500
Discount: 45%
Answer:26,125 is your answer
Step-by-step explanation:
Answer:
$26,125
Step-by-step explanation:
45% of 47,500 is 21,375
47,500 - 21,375 = 26,125
Evaluate f(t)=-2t2+ 1 for f(-3).
Answer:
7
Step-by-step explanation:
First, plug-in f(-3) into t in the function:
\(f(-3)=-2(-3) +1\)
Second, multiply -2 and -3 to get 6:
\(f(-3)=-2(-3)+1\)⇒\(f(-3)=6+1\)
Third, add 6 and 1 to get your answer:
\(f(-3)= 6+1\)⇒\(f(-3)=7\)
select the correct answer if not watch out for your back mate
Answer:
c
Step-by-step explanation:
A mathematical model is given below. Construct a Matlab & Simulink model to show the behavior of the value of x. dx d²x +3+4x+6=5cos (2t). dt² dt Hint: 2 Clock Gain 2t
The Matlab & Simulink model consists of a Clock block to generate a time signal, a Gain block to multiply the time signal by 2, and a Differential Equation block to solve the given differential equation. The Scope block is used to visualize the behavior of the variable x over time.
To construct a Matlab & Simulink model for the given mathematical model, we can use Simulink's Differential Equation block and a Clock and Gain block. Here's a step-by-step guide:
1. Open Simulink in Matlab.
2. Drag and drop a Clock block from the Simulink Library Browser into the model.
3. Drag and drop a Gain block from the Simulink Library Browser into the model.
4. Double-click on the Gain block and set the Gain value to 2.
5. Drag and drop a Differential Equation block from the Simulink Library Browser into the model.
6. Double-click on the Differential Equation block and enter the equation `d²x + 3 + 4*x + 6 = 5*cos(2*t)`.
7. Connect the output of the Clock block to the input of the Gain block, and the output of the Gain block to the input of the Differential Equation block.
8. Connect the output of the Differential Equation block to a Scope block from the Simulink Library Browser.
9. Run the simulation.
The Scope block will show the behavior of the value of x over time according to the given mathematical model.
In conclusion, The Clock block provides the independent variable t, and the Differential Equation block evaluates the given equation to compute the value of x. The simulation shows the dynamic response of x as influenced by the equation and the time signal.
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