The required function that gives miles driven in t hours will be [Distance=42×t].
What are functions?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.So, the formula for distance is:
Distance = s × t
Where s is speed and t refers to time.
So, the functions that give miles driven in t hours will be:
Distance = s × t
Distance = 42 × t
Therefore, the required function that gives miles driven in t hours will be [Distance=42×t].
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Please look at the screenshot
Given:
The figure of circle E. \(m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ\).
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
\(\angle ABD\) and \(\angle ACD\) are inscribed angles on the same arc AD. So,
\(m\angle ABD=m\angle ACD\)
\(11x-3=8x+15\)
\(11x-8x=3+15\)
\(3x=18\)
\(x=6\)
Now,
\(m\angle ABD=(11x-3)^\circ\)
\(m\angle ABD=(11(6)-3)^\circ\)
\(m\angle ABD=(66-3)^\circ\)
\(m\angle ABD=63^\circ\)
We know that the intercepted arc is always twice of the inscribed angle.
\(m(Arc(AD))=2\times m\angle ABD\)
\(m(Arc(AD))=2\times 63^\circ\)
\(m(Arc(AD))=126^\circ\)
Therefore, the measure of arc AD is 126 degrees.
PLEASE HELP!! will mark brainlest! find the area.
Answer:
Step-by-step explanation:
28/4 is the radius of the half circle which is 7
if the whole thing was a rectangle the area would be
28 * 24 = 672
area of a half circle is A = pi * r^2/2
pi is also 22/7
A = 22/7 * 7^2/2 -> 22/7 * 49/2 -> 77
2 half circles' area is 77*2 = 154
672 - 154 = 518
on a 1375-mile flight, an airplane's average speed is 550 miles per hour. the flight is within a single time zone and leaves at 10 am. What time will the airplane arrive at its destination
The time the airplane will arrive at its destination is; 12:30 pm
What is the relationship between distance and time?
The relationship between distance, time and speed is;
Speed = Distance/time
Now, we are given;
Distance = 1375 miles
Speed = 550 miles per hour
Thus;
Time = Distance/Speed
Time taken = 1375/550
Time taken = 2.5 hours
Thus, if he leaves by 10 am, then the time to arrive is;
10 am + 2.5 hours = 12:30 pm
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A ball is thrown upward from a height of 15 m with a velocity of 20 m/sec. Acceleration due to gravity is 9.8 m/s2. A. Find the relation between height h and time t after the ball is released. B. How high is the ball after 3 seconds?C. When will the ball hit the ground?2. Repeat problem 1, only answer the questions as if the ball were on the moon. Acceleration due to gravity on the moon is 1.6 m/s2. 3. A ball is kicked upward from a height of 1 m with a velocity of 25 m/sec. Acceleration due to gravity is 9.8 m/s2a. Find the relation between height h and time t after the ball is released.B. How high is the ball after 2 seconds?C. When will the ball hit the ground?D. What is the maximum height of the ball?
Answer:
A. h = h₀ + u·t - 1/2·g·t²
B. 30.9 m
C. 4.73 seconds
2. A. h = h₀ + u·t - 1/2·a·t²
B. 67.8 m
C. Approximately 25.73 seconds
3. A. h = h₀ + u·t - 1/2·g·t²
B. 31.38 m
C. Approximately 5.142 seconds
D. Approximately 32.9 m
Step-by-step explanation:
The given parameters are;
The initial height of the ball, h₀ = 15 m
The upward velocity with which the ball is thrown, u = 20 m/sec.
The acceleration due to gravity, g = 9.8 m/s²
A. The relation between the height, h, and the time, t, after the ball is released is given as follows;
h = h₀ + u·t - 1/2·g·t²
B. The height of the ball after 3 seconds is given by substitution as follows;
At t = 3 seconds, h = 15 + 20 × 3 - 1/2 × 9.8 × 3² = 30.9
The height of the ball, h, after 3 seconds is h = 30.9 m
C. The time the ball takes to hit the ground = 2 × The time it takes to maximum height + The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height
The time it takes to maximum height, \(t_{max}\), is given as follows;
v = u - g·\(t_{max}\)
Where;
v = The final velocity = 0 at maximum height
Therefore, we have;
0 = 20 - 9.8 × \(t_{max}\)
∴ \(t_{max}\) = 20/9.8 ≈ 2.0408
The time it takes to maximum height, \(t_{max}\) ≈ 2.0408 seconds
The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height, \(t_{15}\) is given as follows;
v₂² = u₂² + 2·g·h₀
v₂² = 20² + 2×9.8×15 = 694
v₂ = √694 ≈ 26.344 m/s
v₂ ≈ 26.344 m/s
From, v₂ = u₂ + g·\(t_{15}\), we have;
26.344 = 20 + 9.8×t
9.8·\(t_{15}\) = 26.344 - 20 = 6.344
∴ \(t_{15}\) = 6.344/9.8 ≈ 0.647
The ball will hit the ground after 2 × \(t_{max}\) + \(t_{15}\) ≈ 2 × 2.0408 + 0.647 ≈ 4.7286
The ball will hit the ground after approximately 4.7286 ≈ 4.73 seconds
2. When the ball is thrown upward from the Moon, we have;
The acceleration due to gravity on the moon, a = 1.6 m/s², therefore, we have;
A. The relation between the height, h, and the time, t, after the ball is released is given as follows;
h = h₀ + u·t - 1/2·a·t²
B. The height of the ball after 3 seconds is given by substitution as follows;
At t = 3 seconds, h = 15 + 20 × 3 - 1/2 × 1.6 × 3² = 67.8
The height of the ball, h, thrown on the Moon, after 3 seconds is h = 67.8 m
C. The time the ball takes to hit the ground = 2 × The time it takes to maximum height + The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height
The time it takes to maximum height, \(t_{max}\), is given as follows;
v = u - a·\(t_{max}\)
Where;
v = The final velocity = 0 at maximum height
Therefore, we have;
0 = 20 - 1.6 × \(t_{max}\)
∴ \(t_{max}\) = 20/1.6 = 12.5
The time it takes to maximum height, \(t_{max}\) = 12.5 seconds
The time it takes the ball to fall with an initial velocity of 20 m/sec for 15 m height, \(t_{15}\) is given as follows;
v₂² = u₂² + 2·a·h₀
v₂² = 20² + 2×1.6×15 = 448
v₂ = √448 ≈ 21.166 m/s
v₂ ≈ 21.166 m/s
From, v₂ = u₂ + a·\(t_{15}\), we have;
21.166 = 20 + 9.8×t
1.6·\(t_{15}\) = 21.166 - 20 = 1.166
∴ \(t_{15}\) = 1.166/1.6 ≈ 0.72785
The ball will hit the ground after 2 × \(t_{max}\) + \(t_{15}\) ≈ 2 × 12.5 + 0.72875 = 25.72875 ≈ 27.73
The ball will hit the ground after approximately 25.73 seconds
3. The height from which the ball is kicked, h₀ = 1 m
The initial velocity of the ball, u = 25 m/sec
The acceleration due to gravity, g = 9.8 m/s²
The relationship between the height, h and the time, t after the ball is released, is given as follows;
h = h₀ + u·t - 1/2·g·t²
B. The height of the ball after 2 seconds is given as follows;
At t = 2, h = 1 + 25 × 2 - 1/2 × 9.81 × 2² = 31.38
The height of the ball, after 2 seconds, h = 31.38 m
C. The time it takes the ball to hit the ground is given by the following kinematic equation, as follows;
h = h₀ + u·t - 1/2·g·t²
At the ground level, h = 0, therefore, we have;
0 = 1 + 25·t - 4.9·t²
Therefore, by the quadratic formula, we have;
t = (-25 ± √(25² - 4×(-4.9)×1))/(2 × -4.9)
Therefore, t ≈ 5.142, or t ≈ -0.03969
Given that the time is a natural number, we have, t ≈ 5.142 seconds
D. The maximum height, \(h_{max}\) the ball reaches is given as follows;
From the kinematic equation, v² = u² - 2·g·h,
Where;
v = 0 at maximum height
h = The height the ball reaches above the initial height, we have;
0² = u² - 2·g·h
u² = 2·g·h
h = u²/(2·g) = 25²/(2 × 9.8) ≈ 31.888
\(h_{max}\) = h₀ + h = 1 + 31.888 ≈ 32.9
The maximum height the ball reaches, \(h_{max}\) ≈ 32.9 m
what is 0x3d (base 16) in decimal (base 10).
The hexadecimal number 0x3d is equal to 61 in decimal (base 10).
To convert the hexadecimal number 0x3D to decimal (base 10), we need to understand the positional system of both bases. In hexadecimal, each digit represents a power of 16, starting from the rightmost digit. The digits range from 0 to 9, and then from A to F, where A represents 10 and F represents 15, In hexadecimal (base 16) representation, each digit can have values from 0 to 15. The digits from 0 to 9 represent their respective values, and the letters A to F represent the values 10 to 15.
To convert 0x3d to decimal, we can break down the number as follows:
0x3d = (3 * 16^1) + (13 * 16^0)
Simplifying the expression:
0x3d = (3 * 16) + 13
0x3d = 48 + 13
0x3d = 61
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Given f(x) = 3^x and g(x) = -2(3)* + 4, describe the
transformations performed on f(x) to get g(x).
A. Shrink by a factor of -2, shift up 4
B. Reflection over the x-axis, stretch by a factor of
C. Reflection over the x-axis, stretch by a factor of
4 D reflection over the x-axis shrink by a factor of 1/2 shift up 4
To describe the transformations performed on f(x) = 3^x to get g(x) = -2(3)^x + 4, we can analyze the changes in the equation.
Reflection over the x-axis:
The negative sign in front of the term 2(3)^x indicates a reflection over the x-axis. This means that the graph of g(x) is a reflection of f(x) about the x-axis.
Stretch by a factor of 2:
The coefficient 2 in front of the term (3)^x represents a vertical stretch. It stretches the graph vertically by a factor of 2. This means that the points on the graph of g(x) are twice as far from the x-axis compared to the corresponding points on the graph of f(x).
Shift up 4:
The term + 4 at the end of the equation indicates a vertical shift of 4 units upwards. This means that the graph of g(x) is shifted 4 units above the graph of f(x).
Combining these transformations, the correct description would be:
D. Reflection over the x-axis, stretch by a factor of 2, shift up 4.
Note: Choices C and D are not complete descriptions of the transformations since they do not mention the stretch factor of 2.
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Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
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Subtract.
4−(−2)
Plot the solution on the number line.
Answer:
6
Step-by-step explanation:
\(\sf 4-(-2)=4+2=\bf{6}\)
The answer is 6.
What is a number line?A visual representation of numbers on a straight line is known as a number line. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.On a number line, the numbers rise as you move from left to right and fall as you move backwards from right to left.SOLUTION-
4-(-2))4+2as (- * - = +).6plotting on number line-
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Your RRSP savings of $47,500 are converted to a RRIF at 3.24% compounded monthly that pays $5,294 at the beginning of every month. After how many payments will the fund be depleted? Round to the next payment
the fund will be depleted after 11 payments.
To find out after how many payments the fund will be depleted, we need to determine the number of payments using the future value formula for an ordinary annuity.
The formula for the future value of an ordinary annuity is:
FV = P * ((1 + r)ⁿ - 1) / r
Where:
FV is the future value (total amount in the fund)
P is the payment amount ($5,294)
r is the interest rate per period (3.24% per annum compounded monthly)
n is the number of periods (number of payments)
We want to find the number of payments (n), so we rearrange the formula:
n = log((FV * r / P) + 1) / log(1 + r)
Substituting the given values, we have:
FV = $47,500
P = $5,294
r = 3.24% per annum / 12 (compounded monthly)
n = log(($47,500 * (0.0324/12) / $5,294) + 1) / log(1 + (0.0324/12))
Using a calculator, we find:
n ≈ 10.29
Since we need to round to the next payment, the fund will be depleted after approximately 11 payments.
Therefore, the fund will be depleted after 11 payments.
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Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 19 lb
Answer:
0.315 per lb
Step-by-step explanation:
Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational
Answer:
A Rational
Step-by-step explanation:
Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.
How do you write 71.82% as a decimal?
the f ratio in a completely randomized anova is the ratio of
a. MSTR/MSE
b. MST/MSE
c. MSE/MSTR
d. MSE/MST
The F ratio in a completely randomized ANOVA is a) MSTR/MSE.
The F ratio in ANOVA is a measure of the variability between groups compared to the variability within groups. MSTR (mean square treatment) represents the variability between groups, while MSE (mean square error) represents the variability within groups.
The F ratio is the ratio of MSTR to MSE. A high F ratio indicates that the variability between groups is larger than the variability within groups, suggesting that there is a significant difference between at least two of the group means.
In contrast, a low F ratio suggests that there is little difference between group means, and any observed differences may be due to chance. Therefore, the F ratio is an essential statistic in ANOVA for determining the significance of the observed differences between groups.
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You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) 2.7 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.)
a). The difference between the two population means is estimated at a location to be 2.7.
b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.
c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).
d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
What is standard deviations?The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.
Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample
\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).
With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.
We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).
The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the
average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).
Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).
The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).
As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
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what is 10 times 300020004000300002000010000040000500000600007000000 plus 3?
Answer:
joe mama 4life...... .....
the answer is 300020004000300002000010000043
(61x + 63y) + (-24x + 47y)
Simplify the following expression.
-------------------------------------------------
I am so confused I hate Study Island.
Answer:
37x - 16y
Step-by-step explanation:
I added a photo of my solution
Answer:
Step-by-step explanation:
assume the brackets61x + 63y + -24x + 47y
61x + -24x + 63y + 47y61 - 24 = 3763 + 47 = 110= 37x + 110yPlease help me on number one!
Write the following equations in the form ax+b.
a) 4x+7+2x+5
Combine like terms: 4x+2x and 7+5
We get, 6x+12, which matches the form ax+b.
b) 4x-7+2x-5
Combine like terms: 4x+2x and -7-5
We get, 6x-12, which matches the form ax+b.
c) 4x-7-2x-5
Combine like terms: 4x-2x and -7-5
We get, 2x-12, which matches the form ax+b.
please help me...............
Answer:
Last answer is correct
Step-by-step explanation:
Parallel lines never meets...is the correct answer.
WHAT AMOUNT SHOULD YOU INVEST IF YOU WANT TO RECEIVE PAYMNT OF 3000 AT THE END OF EACH YEAR FOR 10 YEARS WITH THE RECEIPT OF THE FIRST PAYMENT 3 YEARS FROM NOW IF THE MONEY IS COMPOUNDED 5% ANNUALLY?
You should invest $22,627.84 if you want to receive payments of $3,000 at the end of each year for 10 years, with the first payment 3 years from now, if the money is compounded at 5% annually.
To solve this problem, we can use the present value formula for an ordinary annuity: PV = PMT * [1 - (1 + r)^-n] / r
Where:
PV = present value
PMT = periodic payment
r = interest rate
n = number of payments
In this case, we have:
PV = unknown
PMT = $3,000
r = 5%
n = 10 years (first payment in 3 years, so there are 10 payments after that)
Plugging these values into the formula,
we get:
PV = $3,000 * [1 - (1 + 0.05)^-10] / 0.05
PV = $22,627.84
Therefore, you should invest $22,627.84 if you want to receive payments of $3,000 at the end of each year for 10 years, with the first payment 3 years from now, if the money is compounded at 5% annually.
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Library received 69678 books. They sold 430 books. Now they have five times more than the original number of books. How many books did they have before?
Answer:
13,849 books.
Step-by-step explanation:
The equation would be (69,678 - 430)/4 = 13,849
It cost $110 to plant watermelons on an acre of farmland. How much would it cost to only plant 2/3 of the acre?
No solve this you have to multiply the cost per acre by the total are you want to plant:
\(110\cdot\frac{2}{3}=73.3\)It'll cost $73.3 to plant 2/3 of the acre.
Ada' hitory teacher wrote a tet for the cla. The tet i 26 quetion long and i worth 123 point. Ada wrote two equation, where m repreent the number of multiple choice quetion on the tet, and repreent the number of eay quetion on the tet. M=26
3m8=123
There are 9 questions on the test.
Let, the number of multiple-choice questions on the test = m
the number of essay questions on the test = s
m + s = 26 .......(1)
So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.
As essays are worth 8 points each, so the total number of points for s questions will be 8s.
3m + 8s = 123 .......(2)
Now we will use the substitution method to solve a system of linear equations.
From equation (1) we will get,
m = 26 -s
Substituting this value in equation (2) we will get,
3 * (26- s) + 8s =123
78 - 3s + 8s = 123
5s = 123 -78
5s = 45
s = 45/5 = 9
So, there are 9 questions on the test.
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The complete question is:
Ada’s history teacher wrote a test for the class.
The test is 26 questions long and is worth 123 points.
Ada wrote two equations, where m represents the
number of multiple choice questions on the test, and
s represents the number of essay questions on the test.
m+s= 26
3m + 8s = 123
How many essay questions are on the test?
the poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.truefalse
The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.
The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.
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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.
Given statement is False.
Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.
The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.
The Poisson distribution has several important properties, including:
Its mean is equal to λ, and its variance is also equal to λ.
It is a discrete distribution, meaning that it models only whole numbers of events.
It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.
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If a ball is thrown into the air with a velocity of 40 ft/s, its height in feet after tt seconds is given by y=40t−16t2y=40t−16t2.
(a) Find the average velocity for the time period beginning with t=2t=2 and
(1) lasting 0.5 seconds:
(2) lasting 0.1 seconds:
(3) lasting 0.05 seconds:
(4) lasting 0.01 seconds:
b) Find the instantaneous velocity when t=2t=2:
(a) The average velocity for the time period beginning with t=2t=2 and
(1) lasting 0.5 seconds: -40 ft/s
(2) lasting 0.1 seconds: -88.4 ft/s
(3) lasting 0.05 seconds: -67.2 ft/s
(4) lasting 0.01 seconds: -64.36 ft/s
(b) The instantaneous velocity when t=2 is -24 ft/s.
(a) To find the average velocity for a given time period, we need to find the displacement during that time period and divide it by the duration of the time period.
(1) For the time period lasting 0.5 seconds, the initial time is t=2 and the final time is t=2.5. The displacement during this time period is:
\(y(2.5) - y(2) = (402.5 - 162.5^2) - (402 - 162^2) = -20 ft\)
The duration of the time period is 0.5 seconds. Therefore, the average velocity is:
average velocity = displacement / duration = -20 / 0.5 = -40 ft/s
(2) For the time period lasting 0.1 seconds, the initial time is t=2 and the final time is t=2.1. The displacement during this time period is:
\(y(2.1) - y(2) = (402.1 - 162.1^2) - (402 - 162^2) = -8.84 ft\)
The duration of the time period is 0.1 seconds. Therefore, the average velocity is:
average velocity = displacement / duration = -8.84 / 0.1 = -88.4 ft/s
(3) For the time period lasting 0.05 seconds, the initial time is t=2 and the final time is t=2.05. The displacement during this time period is:
\(y(2.05) - y(2) = (402.05 - 162.05^2) - (402 - 162^2) = -3.36 ft\)
The duration of the time period is 0.05 seconds. Therefore, the average velocity is:
average velocity = displacement / duration = -3.36 / 0.05 = -67.2 ft/s
(4) For the time period lasting 0.01 seconds, the initial time is t=2 and the final time is t=2.01. The displacement during this time period is:
\(y(2.01) - y(2) = (402.01 - 162.01^2) - (402 - 162^2) = -0.6436 ft\)
The duration of the time period is 0.01 seconds. Therefore, the average velocity is:
average velocity = displacement / duration = -0.6436 / 0.01 = -64.36 ft/s
(b) To find the instantaneous velocity when t=2, we need to find the derivative of the position function y(t) and evaluate it at t=2:
\(y(t) = 40t - 16t^2\)
y'(t) = 40 - 32t
y'(2) = 40 - 32(2) = -24 ft/s
Therefore, the instantaneous velocity when t=2 is -24 ft/s.
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can someone please help me find the answers to this? thank you so much if you help!
Answer:
Step-by-step explanation: ma th w a y b^2 t C^
Plz help wit this
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )
x = \(\sqrt{225}\) = 15
Answer:
I did this quickly, so please check the logic.
I find x = 15
Step-by-step explanation:
See attached image. Note that I've defined 3 triangles and their Pythagorean equations. I also define a third line, RQ, as z. Rearrange the equations and substitute in a way that allows elimination of all variables except x.
GIVING 38 POINTS AWAY!! ANSWER ALL 4!! NO LINKS
Answer:
See below
Step-by-step explanation:
The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.
1. The measure of arc AD is \( \boxed {105}\degree \)
2. The measure of arc ABC is \( \boxed {205}\degree \)
3. The measure of arc ADB is \( \boxed {190}\degree \)
4. The measure of arc BD is \( \boxed {85}\degree \)
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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What is: 6x^2-4x-10?
\(answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps\)
Answer:
x = 1⅔ or -1
Step-by-step explanation:
6x² -4x - 10
a=6, b=-4, c=-10, ac= -60
factors -10 & 6
6x² + 6x - 10x -10 =0
(6x² + 6x) - (10x - 10) =0
6x(x +1) - 10(x+1) =0
(6x-10)(x+1)=0
6x-10=0 or. x+1=0
6x= 10 or x= -1
x= 10/6 or. x= -1
x=1⅔ or x= -1
Last year, Marshall withdrew $8,000 from his RRSP under the Lifelong Learning Program to fund a one-year program at a community college. This year, he worked full-time but, he would like to pursue a university degree beginning next year. Marshall is wondering whether he can participate in the LLP again next year. What statement is true?
a) Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.
b) Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf.
c) He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
d) He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.
Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.
Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
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