Answer: 9.7 seconds
Step-by-step explanation:
\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)
Find from first principle,the differential coefficient of;sin(ax+b)
Answer:
Step-by-step explanation:
four time two times the number is as thrice more the number
Answer:
Equation = 4(2x) = 3x
Step-by-step explanation:
Form the equation
4(2x) = 3x
If my answer is incorrect, pls correct me!
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(a+b)^2
(a+b)^2
(a+b)^2
(a+b)^2
Answer:
a^2 + 2ab + b^2
Step-by-step explanation:
Determine whether the numerical value is a parameter or a statistic. Explain your reasoning.
Sixty-two of the 97 passengers aboard the Hindenburg airship survived its explosion.
The numerical value "62" is a statistic because it is based on the sample of passengers aboard the Hindenburg airship.
In the given scenario, the numerical value is "62." We are told that there were 97 passengers aboard the Hindenburg airship and that 62 of them survived its explosion.
Since the numerical value is based on the sample (i.e., the passengers aboard the Hindenburg airship), it is a statistic. It describes the proportion of passengers who survived the explosion in the sample.
If we wanted to know the proportion of passengers who survived the explosion in the entire population (i.e., all passengers who have ever traveled on the Hindenburg airship), we would need to determine the parameter.
However, since we do not have data on the entire population, we cannot determine the parameter.
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(10 points) Find the length of the curve on the given interval. *(t)=(t cos(t), tsin(t),t), s Vu’+ d’du= du= (u Vu? 1 + )C u Vu’+ a² + a?lnlu+ Vu’+ a)+C ) [0,1] (Hint:
To find the length of the curve on the given interval [0, 1], we need to use the arc length formula for parametric equations, which is given by: L = ∫(from 0 to 1) √((dx/dt)² + (dy/dt)² + (dz/dt)²) dt
Given the parametric equations:
x(t) = t*cos(t)
y(t) = t*sin(t)
z(t) = t
First, find the first derivatives:
dx/dt = cos(t) - t*sin(t)
dy/dt = sin(t) + t*cos(t)
dz/dt = 1
Next, square each derivative and sum them: (dx/dt)² + (dy/dt)² + (dz/dt)² = (cos(t) - t*sin(t))² + (sin(t) + t*cos(t))² + 1²
Now, find the square root of the sum: √((cos(t) - t*sin(t))² + (sin(t) + t*cos(t))² + 1²)
Finally, integrate the expression above with respect to t over the interval [0, 1]:
L = ∫(from 0 to 1) √((cos(t) - t*sin(t))² + (sin(t) + t*cos(t))² + 1²) dt
This integral is quite complicated and doesn't have a simple closed-form solution. You can use numerical integration methods, such as Simpson's rule or a computer software, to approximate the length of the curve on the given interval.
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"Complete question"
(10 points) Find the length of the curve on the given interval. *(t)=(t cos(t), tsin(t),t), s Vu’+ d’du= du= (u Vu? 1 + )C u Vu’+ a² + a?lnlu+ Vu’+ a)+C ) [0,1]
let h(x)=-1/3x+2. Find -4h(9)
\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)
\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
\(\qquad❖ \: \sf \:h(x) = - \cfrac{1}{3} x + 2\)
we need to find -4 h(9) :
\(\qquad❖ \: \sf \: - 4 \: h(9)\)
\(\qquad❖ \: \sf \: - 4 \bigg(- \dfrac{1}{3} \times 9 + 2 \bigg)\)
\(\qquad❖ \: \sf \: - 4( - 3 + 2)\)
\(\qquad❖ \: \sf \: - 4( - 1)\)
\(\qquad❖ \: \sf \:4\)
\( \qquad \large \sf {Conclusion} : \)
\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)
god filled his gas tanker with 19/5/9 tank of gas if he uses 1 5/6 gallons of gas each day after how many days will he need to refill his tank
It will take God approximately 32 days to use up all the gas in his tanker and need a refill.
If God filled his gas tanker with 19/5/9 tank of gas and uses 1 5/6 gallons of gas each day, we can calculate how many days it will take for him to need a refill.
First, we need to convert the mixed number 19/5/9 to an improper fraction:
19/5/9 = (19 * 9 + 5) / 9 = 176/9
So God has 176/9 tanks of gas in his tanker.
Next, we can calculate how much gas God uses each day:
1 5/6 = (6 * 1 + 5) / 6 = 11/6
So God uses 11/6 gallons of gas each day.
To find out how many days it will take for God to need a refill, we can divide the amount of gas in his tanker by the amount of gas he uses each day:
(176/9) / (11/6) = (176/9) * (6/11) = 32
Therefore, it will take God approximately 32 days to use up all the gas in his tanker and need a refill.
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How many 6 character passwords could be made using only A,B,C,D,E,1,2,3,4,5 if
a) The password must contain at least one letter and at least one digit and no character is reused
b) The password contains an equal number of letters and digits.
c) Characters can be repeated as long as they are not adjacent.
d) One digit and one letter appear twice (the remaining 2 characters are different)
e) Are palindromes (read the same forward and backward)?
The number of possible 6-character passwords based on specific conditions such as letter and digit inclusion, character repetition rules, and palindrome formation:
a) The total number of passwords that can be formed is 29,400,000 when the password must contain at least one letter and at least one digit and no character is reused.
We can use the principle of inclusion-exclusion. There are 5 ways to choose the position of the digit, and 5 ways to choose the position of the letter.
There are 7 characters left to fill the remaining positions, which can be done in 7! ways. Therefore, the total number of passwords that can be formed is 5*5*7! = 29,400,000.
b) The total number of passwords that can be formed is 2,880 when the password contains an equal number of letters and digits.
There are 3 positions for the repeated digit/letter (e.g. AABBCD). There are 5 ways to choose the repeated digit/letter, and 4 ways to choose the remaining digit/letter. There are then 4! ways to arrange the remaining characters.
Therefore, the total number of passwords that can be formed is 3*5*4*4! = 2,880.
c) The total of 3,200 characters can be repeated as long as they are not adjacent.
To count the number of 6-character passwords where characters can be repeated as long as they are not adjacent, we can approach it using a recursive formula.
There are 5 choices for the first character. For each subsequent character, there are only 4 choices (since it cannot be the same as the previous character), giving a total of 5*4^5 = 3,200.
d) The total number of passwords that can be formed is 2,880 when one digit and one letter appear twice (the remaining 2 characters are different).
There are 6 positions for the repeated characters (e.g. AABBCC). There are then 5 choices for the repeated letter, and 4 choices for the repeated digit.
Finally, there are 4 choices for each of the remaining two characters. Therefore, the total number of passwords that can be formed is 6*5*4*4*4 = 2,880.
e) There are 5*5^2 = 125 palindromes (read the same forward and backward).
If we start with the first half of the palindrome, there are 5 choices for the first character, and 5 choices for each subsequent character (since it must be the same as the corresponding character in the second half).
Therefore, there are 5*5^2 = 125 palindromes.
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-2a + 3 = 30-12 what does that equal ?
Find an LU factorization of the matrix A (with L unit lower triangular). A=
⎣
⎡
4
−8
10
−8
8
−4
3
5
−7
7
6
−7
0
3
−3
⎦
⎤
The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].
Let's go step by step to find the LU factorization of matrix A.
Matrix A:
A =
[4, -8, 10]
[-8, 8, -7]
[6, -7, 3]
Step 1:
Initialize the L matrix as an identity matrix of the same size as A.
L =
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
Step 2:
Perform Gaussian elimination to obtain U.
- Multiply the first row of A by (1/4) and replace the first row of A with the result.
A =
[1, -2, 2.5]
[-8, 8, -7]
[6, -7, 3]
- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.
A =
[1, -2, 2.5]
[0, 24, -27]
[6, -7, 3]
- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.
A =
[1, -2, 2.5]
[0, 24, -27]
[0, 5, -12.5]
Step 3:
Update the L matrix based on the operations performed during Gaussian elimination.
L =
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
Step 4:
The resulting matrix A is the upper triangular matrix U.
U =
[1, -2, 2.5]
[0, 24, -27]
[0, 5, -12.5]
Therefore, the LU factorization of matrix A is:
L =
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
U =
[1, -2, 2.5]
[0, 24, -27]
[0, 5, -12.5]
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there were 54 marbles in total the ratio of green to blue is 7:2 work out the number of green marbles
Answer:
42 green marbles
Step-by-step explanation:
sum the parts of the ratio, 7 + 2 = 9 parts
Divide the number of marbles by 9 to find the value of one part of the ratio.
54 ÷ 9 = 6 ← value of 1 part of the ratio , then
7 parts = 7 × 6 = 42 ← number of green marbles
Solve for 2. Round to the nearest tenth of a degree, if necessary.
w
36
V
20
50
X
PLS HELP
Answer:
Step-by-step explanation:
This is classic right triangle trig. If you're solving for x, which you are, you have to consider how the given sides relate to that angle. The side with a length of 50 is opposite the angle x, while the side of length 36 is adjacent to angle x. The trig ratio that utilizes the sides opposite and adjacent is tangent; HOWEVER, we are looking for a missing angle. Finding missing angles on your calculator requires the 2nd button. To find the missing angle x, you are looking for the angle that has a tangent ratio of 50 over 36 (opposite over adjacent...Toa in SohCahToa). Hit the 2nd button on your calculator and then the tangent button (in degree mode, not radian mode) and you will see this on your screen:
\(tan^{-1}(\)
After the parenthesis, enter the fraction and then hit the enter button to get the angle measure in degrees:
\(tan^{-1}(\frac{50}{36})=54.2\) degrees.
It's very important that you learn how to use your calculator to find the trig identities that give you the ratio in decimal form and how to find the missing angles. Missing angles always use the 2nd button along with whatever trig identity you are using.
a researcher recorded reaction time to respond to a sound. if the data of the research subjects are presented in a frequency distribution graph, what type of graph should be used?
If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.
If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.
If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.
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What is the factorization of 2x2 + 7 x + 6?
A.(2x+3)(x+2)
B.(2x+2)(x+3)
C.(x+3)(x+2)
D.(x+3)(x+6)
A bank Teller's annual salary will increase by 12% next year to an annual salary of
$48,000. What is the teller's annual salary now?
Answer:
$42,857.14
Step-by-step explanation:
12% = 12/100 = 0.12
If the teller's current salary is D and it increases by 12% in one year, the salary next year would be
X(1+0.12) = 1.12X
We know that salary next year is 48000
Using this fact,
1.12X = 48000
Dividing by 1.12 on both sides,
X = 48000/1.12 = 42,857.14
Data is collected from a sample of 100 randomly selected students at the City University of New York that showed that the mean number of college credits earned per year is 25.6 with a standard deviation of 2.1
. Are these numbers statistics or parameters? Explain. The numbers are parameters because the numbers were calculated for a sample of City University of New York students and are estimates. The numbers are statistics because the numbers were calculated for a sample of City University of New York students and are estimates. The numbers are statistics because the numbers were calculated for all City University of New York students. The numbers are parameters because they numbers were calculated for all City University of New York students.
The correct answer here is the numbers are statistics because the numbers were calculated from a sample of city University of New York students and are estimates.
The collection, organisation, analysis, interpretation, and presentation of data are the main topics of study in statistics. When applying statistics to a scientific, industrial, or social problem, it is typical to start with a statistical population or a statistical model that will be studied.
Various groupings of people or things can be referred to as populations, such as "each person living in a country" or "each atom making up a crystal."
Statistics covers every aspect of data, including the planning of data collection in terms of the design of surveys and experiments.
In the absence of a census, statisticians create specialised experiment designs and survey samples to collect data. A representative sample guarantees that generalisations and inferences to the total population from the sample are valid.
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If a boat weighs 50,000 pounds, how many tons will it weigh?
Answer: 25 tons
Step-by-step explanation:
there are 2000 lb in one ton
50000lb * (1 ton/2000lb) = 25 tons
During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. What was Poch's return on sales ratio for the year? (Assume no other expenses)
a. 10.6%
b. 24.1%
c. 21.9%
d. 13.8%
During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. To find Poch's return on sales ratio, we need to divide the cost of goods sold by the net sales and multiply by 100.
The calculation would be:
Return on Sales Ratio = (Cost of Goods Sold / Net Sales) * 100
Plugging in the given values:
Return on Sales Ratio = ($59,823 million / $76,643 million) * 100
Now, let's solve the calculation:
Return on Sales Ratio = (0.7807) * 100
Return on Sales Ratio ≈ 78.07%
Since none of the provided answer options match with the calculated ratio, we cannot determine the exact return on sales ratio.
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Round to 3 SF
0.0692494
rounding 0.0692494 to 3SF is 0.069
A triangle has a 35° angle, a 55° angle, and a side 6 centimeters in length,
Select True or False for each statement about this type of triangle.
True
False
The triangle might be an isosceles triangle.
The triangle might be an acute triangle.
The triangle must contain an angle measuring 90°.
O
Answer:
f
f
v
Step-by-step explanation:
Simplify the following expression by distribution 1/2 (8-4g)
To simplify by distribution you multiply the term outside the parenthesis by the terms inside the parenthesis:
\(\begin{gathered} \frac{1}{2}(8-4g)=\frac{1}{2}\cdot8-\frac{1}{2}\cdot4g \\ \\ =\frac{8}{2}-\frac{4}{2}g \\ \\ =4-2g \end{gathered}\)Then, the given expression simplified is 4 - 2gHELP PLEASE(7th grade)
!! for 2 and 3 these values are rounded
1) 693.5/18,250 = .038 x 100% = 3.8% commission
2) ~118.5% --- divide tip/meal then x 100%
3) ~21.33% divide sale price/over org., then subtract by 100%
7/6 x 4/5 = in simplest form
Answer:
heyy do you still need help
Step-by-step explanation:
Needing help...again giving out many points if right (90 to be exact)
What is the value of x?
Enter your answer in the box.
x =
Answer:
x=12
Step-by-step explanation:
4x-10=3x+2
Subtract 3x on both sides:
x-10=2
Add 10 on both sides:
x=12
Hope this helps!
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y - 9x = -6
To put the equation 3y - 9x = -6 into slope-intercept form, we need to isolate y on one side of the equation.
First, we will add 9x to both sides:
3y - 9x + 9x = 9x - 6
Simplifying the left side of the equation:
3y = 9x - 6
Next, we will divide both sides by 3:
y = 3x - 2
This is the equation in slope-intercept form, where the slope is 3 and the y-intercept is -2.
Find the next two terms in this
sequence.
1, -3, 9, -27, 81, [ ? ],
Answer:
-243, 729
Step-by-step explanation:
\(f(x) = {( - 3)}^{x} \)
x = 0, 1, 2, 3, .....
\(f(5) = {( - 3)}^{5} = - 243\)
\(f(6) = {( - 3)}^{6} = 729\)
Representing a Graph with a Slope-Intercept Equation
-5-4-3-2
5
4
3
2
+
2345
y
2 3 4
X
5
A function f(x) is graphed.
What is the slope of the function?
m
What is the y-intercept of the function?
b = v
Which equation represents the graph of the function?
Answer:
1.) The slope is 2
2.) The y-intercept is (0,1)
3.) y = 2x + 1
Step-by-step explanation:
1.) you can either use rise over run or the slope formula. rise over run is quicker, but here's the formula:
you can use any two points on the line, i chose (2, 5) and (1, 3)
\(\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})} \\\)
\(\frac{3-5}{1-2} \\\\\frac{-2}{-1} \\\\\frac{2}{1} \\\\2\)
2.) for the y-intercept, you just look for the point where the graph crosses the y-axis and x = 0
3.) using the formula y = mx + b, m being the slope and b being the y-intercept, you take the information above and plug it in to get y = 2x + 1
i hope this helped!
Can someone please help me with this question
Step-by-step explanation:
please mark me as brainlest
What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?
Answer:
This is undefined because the slope is 3/0, and you can't divide by 0
Which ordered pairs make the equation true? 3x+2y=−7 Select each correct answer. (3, −8)
(−3, 1)
(−2, −1)
(1, −4)
\(\Large\maltese\underline{\textsf{A. What is Asked}}\)
Which ordered pairs make the equation \(\bf{3x+2y=-7}\) true? Select all that apply. 3 options are given
\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)
We can tell which ordered pairs make equations true by plugging in the coordinates.
\(\mathbb{ORDERED\;PAIR\;NUMBER\;ONE}\)
\(\bf{3(3)+2(-8)=-7}\) | simplify
\(\bf{9-16=-7}\) |simplify
\(\bf{-7\equiv-7}\) | this one checks
\(\mathbb{ORDERED\;PAIR\;NUMBER\;TWO}\)
\(\bf{3(-2)+2(-1)=-7}\) | simplify
\(\bf{-6-2=-7}\) | simplify
\(\bf{-8\neq-7}\) | this one does not check
\(\mathbb{ORDERED\;PAIR\;NUMBER\;THREE}\)
\(\bf{3(1)+2(-4)=-7}\) | simplify
\(\bf{3-8=-7}\) | simplify
\(\bf{-5\ne-7}\) | this one does not check
\(\rule{300}{1.7}\)
\(\bf{Result:}\)
\(\bf{=The\;First\;Option\)
\(\boxed{\bf{aesthetic \not101}}\)