Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?
Answer: 360 miles
Step-by-step explanation: 640/16=40. 40x9=360.
3). A cylindrical tank, 5 m in diameter, discharges through a horizontal mild steel pipe 100 m long and 225 mm in diameter connected to the base. Find the time taken for the water level in the tank to drop from 3 to 0.5 m above the bottom.
The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.
To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.
If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.
However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.
Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.
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The assumption that there are no exact linear relationships among the independent variables in a multiple linear regression model fails if _____, where n is the sample size and k is the number of parameters.
a. n < k 1
b. n > k
c. n
Answer:
a. n < k + 1
Step-by-step explanation:
Multiple linear regression model is used for analyzing the linear relationship between the independent variables and dependent variable. It is used when there is the need to predict the relationship of a variable based on the values of two or more other variables. These variables could be nominal, ordinal, or interval/ratio level variables.
Some assumptions of multiple linear regression analysis are:
i. There must be a linear relationship between the outcome variable and the independent variables.
ii. The residuals are normally distributed.
iii. That the independent variables are not highly correlated with each other.
The assumption that there are no exact linear relationships among the independent variables in a multiple linear regression model fails if n < k + 1.
In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.
How many blue cards are in the game?
Answer:
63 yellow cards
Step-by-step explanation:
84 divided by 4 is 21, and 21 times 3 is 63.
Classify the triangle shown by its angles and sides. Select all that apply.
Answer:
Step-by-step explanation: just get good at math
what’s (10a ^2 )(−6a ^4 ) Simplify
Answer: -60a^6
Step-by-step explanation:
multiply 10 and 6. combine the exponents
Answer:
\( - 60a ^{6} \)
Step-by-step explanation:
1) Take out the constants.
\((10 \times - 6) {a}^{2} {a}^{4} \)
2) Simplify 10 × -6 to -60.
\( { - 60a}^{2} {a}^{4} \)
3) Use product rule.
\( - 60 {a}^{2 + 4} \)
4) Simplify 2 + 4 to 6.
\( - 60 {a}^{6} \)
Therefor, the answer is -60a⁶.
help please i need it like really
Answer:
The first question is 11.25
The second question is 35.5
Step-by-step explanation:
a χ2 statistic provides strong evidence in favor of the alternative hypothesis if its value isO A. a large positive number. O B. exactly 1.96 O C. a large negative number.O D. close to 0O E. close to 1
A chi-squared statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number.
Chi-squared statistics or chi-squared test is a statistical method used to find out if there is a significant difference between the expected and observed frequencies in one or more categories of a contingency table. This test is used to determine whether the null hypothesis can be rejected or not. Chi-squared statistics are a non-parametric test that helps to determine whether the data is close to what is expected or not. This test is used when the data is ordinal or nominal.
Chisquare test is often used for: Testing if the observed frequencies of a nominal variable are significantly different from the expected frequencies Assessing if two or more distributions are the same. The chi-squared statistic provides evidence for or against the null hypothesis. A large positive value of the chi-squared statistic indicates that the null hypothesis can be rejected.
Therefore, option A. a large positive number, is the correct answer.
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Find the distance between the spheres x2 + y2 + z2 = 4 and x2 + y2 + 22 = 8x + 8y + 8z - 47. X
The distance between the two spheres is 6 - √5 units.
To find the distance between the spheres x² + y² + z² = 4 and x² + y² + z² = 8x + 8y + 8z - 47, first rewrite the second equation:
x² - 8x + y² - 8y + z² - 8z = -43
Now, complete the squares for x, y, and z terms:
(x - 4)² - 16 + (y - 4)² - 16 + (z - 4)² - 16 = -43
Combine the constants:
(x - 4)² + (y - 4)² + (z - 4)² = 5
Now, we have two spheres with centers (0, 0, 0) and (4, 4, 4) and radii 2 (from √4) and √5 (from √5), respectively. To find the distance between the spheres, subtract their radii from the distance between their centers:
Distance = √[(4 - 0)² + (4 - 0)² + (4 - 0)²] - 2 - √5
Distance = √(64) - 2 - √5
Distance = 8 - 2 - √5
So, the distance between the two spheres is 6 - √5 units.
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What is the value of x2+9x+20 when x could be -5, -3 or -6
Answer:
Step-by-step explanation:
You should use a ^ to indicate an exponent. x^2 is the same as x².
x² + 9x + 20
Replace the x with (-5).
(-5)² + 9(-5) + 20 = 25-45+20 = 0
Then do the same with x = (-3):
(-3)² + 9(-3) + 20 = 9 - 27 + 20 = 2
You can do x = (-6)
Dome Fuji, in Antarctica, is the ________ place in the world with a record low of –92 degrees.
colder
coldest
more cold
most cold
Answer: Dome Fuji, in Antarctica, is the coldest place in the world with a record low of –92 degrees.
Step-by-step explanation:
Evaluate the following integrals: a.
∫(3+²+1)8(t)dt
∫ Se-¹8(2t - 2)dt
a) The value of the integral is 1.
b) The value of the integral is e.
a) To evaluate the integral ∫[-1 to 1] (3t²+1)δ(t)dt, we can use the property of the Dirac delta function:
∫[-∞ to ∞] f(t)δ(t)dt = f(0)
Applying this property, we have:
∫[-1 to 1] (3t²+1)δ(t)dt = (3(0)²+1) = 1
Therefore, the value of the integral is 1.
b) To evaluate the integral ∫[-∞ to ∞] \(e^{-t\)δ(2t - 2)dt, we can again use the property of the Dirac delta function:
∫[-∞ to ∞] f(t)δ(at - b)dt = f(b/a)
Applying this property, we have:
∫[-∞ to ∞] \(e^{-t\)δ(2t - 2)dt = \(e^{2/2\) = \(e^1\) = e
Therefore, the value of the integral is e.
Correct Question:
Evaluate the following integrals:
a) ∫-1 to 1 (3t²+1)δ(t)dt
b) ∫-∞ to ∞ \(e^{-t\)δ(2t - 2)dt
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what is the equation in slope intercept form of the line that passes throught the points (-4, 2) and (12, 6)
The equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The points are given as
(-4, 2) and (12, 6)
Calculate the slope of the points using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (6 - 2)/(12 + 4)
Evaluate
m = 0.25
The equation is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (-4, 2)
So, we have
y = 0.25(x + 4) + 2
Expand
y = 0.25x + 1 + 2
Evaluate
y = 0.25x + 3
Hence, the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
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Which equation has infinitely many solutions?
O 12 + 4x = 6x + 10 - 2x
5x + 14 - 4x = 23 + x - 9
Ox+9 -0.8x = 5.2x + 17 - 8
0 4x - 2x = 20
Next
Someone plz show me the work I just need to know which actually does and the work just someone hurry
Answer:
The second option (5x+14-4x=23+x-9)
Step-by-step explanation:
For an equation to have infinitely many solutions each side must be exactly the same when simplified.
12+4x=6x+10-2x
Combine alike terms.
12+4x=4x+10
Subtract 4x from each side
12=10
This is not true so this equation has no solutions.
5x+14-4x=23+x-9
Combine alike terms
x+14=14+x
subtract x from each side
14=14
This is true so this equation has infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
your answer is correct
Step-by-step explanation:
5x+14-4x=23+x-9
simply both sides
x+14=x+14
17.95x + 24 = 18.95x + 18
what is the solution
The solution for the given equation is x=6.
The given equation is 17.95x + 24 = 18.95x + 18.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 17.95x + 24 = 18.95x + 18
⇒ 18.95x-17.95x=24-18
⇒ x=6
Hence, the solution for the given equation is x=6.
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A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Rahim is constructing a proof to show that the opposite angles of a
quadrilateral inscribed in a circle are supplementary. Which step would be the
first in his proof?
Given: Quadrilateral QRSTis inscribed in circle X.
Prove: R is supplementary to 4 T.
Answer:
9514 1404 393
Step-by-step explanation:
Given: Quadrilateral QRST ...
The first statement of a proof is always a restatement of the facts that are Given. The "prove" statement is a goal, never stated in the proof. The statement to be proven is the last statement (conclusion) of a proof.
I just need level two and three solved please
Answer:
intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)Step-by-step explanation:
You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).
InterceptsWriting the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -2 = 1/2(x -(-1)) . . . . . using given slope and point
2y -4 = x +1 . . . . . . . . . . multiply by 2
x -2y = -5 . . . . . . . . . . . . add -1 -2y
Setting x=0 tells us the y-intercept is ...
0 -2y = -5
y = -5/-2 = 5/2
So, the y-intercept is (0, 5/2).
Setting y=0 tells us the x-intercept is ...
x -2(0) = -5
x = -5
So, the x-intercept is (-5, 0).
Arbitrary pointIt will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...
x -2y = -5
x = -5 +2y = -5 +2(6) = 7
Another point on the line is (7, 6).
__
Additional comment
If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.
<95141404393>
help me please I don't understand
Answer:
it is B. increasing
Answer:
C.it is a constant
Step-by-step explanation:
Hope this helped!
Please mark me as brainliest!
Determine the end behavior of f(x) x^3-2x^2-x+2n
Here, we want to determine the end behavior of the given polynomial
To do this, we need to know the leading coefficient sign and the degree of the polynomial (if even or odd)
As we can see, the leading coefficient is a positive number while the degree of the polynomial is odd
So, we need to evaluate the behavior of a polynomial with a positive leading coefficient and an odd degree
The correct answer here is that;
\(\begin{gathered} As\text{ x }\Rightarrow-\infty\text{ , f(x) }\Rightarrow-\infty \\ \text{and;} \\ as\text{ x}\Rightarrow+\infty\text{ , f(x) }\Rightarrow+\infty \end{gathered}\)Answer:
B trustttttttt
Step-by-step explanation:
If x = 36 when y = 40 and x varies directly as y, what is x when y = 80?
Suppose K is the midpoint of JM. Name a theorem you could use to prove that triangle JKL is congruent to triangle MKL.
Answer:
i.dk much but try Hypotenuse Leg Theorem very sorry if i wrong so sorry
Step-by-step explanation:
i.dk how i would explain
Answer:
SAS
Step-by-step explanation:
i just got it right
Comelia and Christopher are arguing about Real Number (R) Sets. Comelia says that all Whole (W) numbers are Rational (Q) and Christopher
says that all Rational (Q) numbers are Whole (W). Who is correct and explain why?
Unread
Search entries or author
EL
1
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Table
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2
Paragraph
B.
12pt
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Explanation:
We're told that "Christopher says that all Rational (Q) numbers are Whole (W)", which makes Christopher not correct. Some rational numbers are whole numbers. For instance, the number 7 = 7/1 is rational and it's a whole number as well.
However something like 1/2 is rational, but it's not a whole number. A whole number doesn't have any fractional or decimal part to it. It can be thought of the number of something.
Comelia is correct because all whole numbers are rational. If x is some whole number, then x = x/1 is rational as well. Replace x with any whole number you want. Her statement does not work in reverse as shown above.
When drawing a Venn diagram, the circle for "whole numbers" will be entirely inside the circle for "rational numbers", and not the other way around.
Your teacher is giving you a test worth 150 points. Some questions are worth 3 points and the rest are worth 5 points. There are 46 questions on the test. How many of each type of question are on the test
The number of question that has a worth of 3 points and 5 points will be 40 and 6, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Your instructor is giving you a test worth 150 focuses. A few inquiries are worth 3 focuses and the rest are worth 5 focuses. There are 46 inquiries on the test.
Let 'x' be the number of questions of worth 3 points and 'y' be the number of questions of worth 5 points. Then the equations are given as,
3x + 5y = 150 ...1
x + y = 46 ...2
From equations 1 and 2, then we have
3(46 - y) + 5y = 150
138 - 3y + 5y = 150
2y = 12
y = 6
Then the value of 'x' is calculated as,
x + 6 = 46
x = 40
The number of question that has a worth of 3 points and 5 points will be 40 and 6, respectively.
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The figure below to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x)?g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f)?Average(g)=Average(f?g)
A. Yes
B. No
The average value of both f(x) and g(x) on 0≤x≤2 is 1/4. The average value of (f.g) on 0≤x≤2 is 0 and the statement avg(f) . avg(g) = avg(f . g) is false.
avg value of a function = 1/(b - a) ∫f(x) with limts a and b. Here a and b are the constraints under which the average has to be calculated.
a)
Hence average value of f(x) on 0≤x≤2
= 1/2 ∫f(x) with 0 and 2 as intervals
Since integration is basically the area under the curve we get
avg of f(x) = 1/2[area under curve from 0 to 1 + Area under the curve from 1 to 2]
Since from 0 to 1, the figure is a triangle and beyond that a straight line we get
1/2[1/2 X 1 X 1 + 0]
= 1/4 sq units
b)
Similarly, the average value of g(x) on 0 ≤ x ≤ 2
1/2[area from 0 to 1 + area from 1 to 2]
= 1/2[0 + 1/2]
= 1/4 sq units
c) here we need to find the average of f(x) . g(x)
Here we see that f(x) is 0 from x = 1 to x = 1 while g(x) id 0 from x = 0 from x = 1
Hence we see that on multiplying the functions, the resultant has to be a 0 function.
Hence its average value will be 0.
d)
Average(f) . Average(g) = 1/4 X 1/4
= 1/16
Average of (f.g) = 0
Hence the statement is false
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Complete Question
The figure attached to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x) . g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f) . Average(g)=Average(f.g)
A. Yes
B. No
- 3/8 + 1/6
i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go
Answer:
\({ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} \)
Can anyone please help me !!
Answer:
The second one
Step-by-step explanation:
in a function, each time an x value is shown, it needs the same output. in this, 0 has an output of -3 and -4 so it is not a function.
A 4 cylinder engine with 543 cubic centimeters has what approximate displacement.
543 cubic centimeters has 0.543 L approximate displacement
Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.
Basic formula to calculate engine displacement is
V = π/4 x \(D^{2}\) x H x N
Where :
D = Bore Diameter
H = Length of Stroke
N = Number of Cylinder
Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.
First, we state what is known. It is the displacement at cubic centimeter
Cubic centimeter = 543 cc
Next, we change the unit of cubic centimeter ( cc ) into liter ( L )
Displacement = cc / 1000 L
= 543 / 1000 L = 0.543 L
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1 square foot
What is the perimeter?
10 feet
12 feet
8 feet
Carlisle Transport had $4,520 cash at the beginning of the period. During the period, the firm collected $1,654 in receivables, paid $1,961 to supplier, had credit sales of $6,916, and incurred cash expenses of $500. What was the cash balance at the end of the period?
To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.
Starting cash balance: $4,520
Cash inflows: $1,654 (receivables collected)
Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)
Total cash inflows: $1,654
Total cash outflows: $1,961 + $500 = $2,461
To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:
Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows
Cash balance at the end of the period = $4,520 + $1,654 - $2,461
Cash balance at the end of the period = $4,520 - $807
Cash balance at the end of the period = $3,713
Therefore, the cash balance at the end of the period is $3,713.
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