David drops a ball from the top of a building with a height of 64 feet.
The height (h) of the ball, in feet, after (t) seconds can be found using
the formula h=-16° +64. How long will it take the ball to reach the
ground?
A)3 sec
B)2sec
C)1 sec
D)none
Answers
Answer:
Step-by-step explanation:
The position formula for this is actually
\(s(t)=-16t^2+64\)
It says, in not so may words, that the object was dropped under the influence of gravity from a height of 64 feet. When it hits, the ground, it will not be above ground at all anymore...it will be ON the ground and have a height of 0. Therefore, if we set the position function equal to 0 and solve for t, we are finding out how long it will take for the object to hit the ground.
\(0=-16t^2+64\) and
\(16t^2=64\) and
\(t^2=4\) and
t = 2
It takes 2 seconds for the object to hit the ground from 64 feet up.
Related Questions
PLEASE HELP
subtract
(-4w^ -9n) - (- 15w^)
Answers
Answer:
-5 • (2w + 1)
—————
2
Step-by-step explanation:
Quadrilateral WXYZ has vertices W(–3, 4), X(–3, 1), Y(2, 1), and Z(2, 4). What are the coordinates of the image of point W after a reflection across the y-axis?
A. w-(3, 4)
B. w- ( 3 , - 4 )
C. w- ( - 3 , - 4 )
D. w- ( 4 , - 3 )
Answers
Answer: A
Step-by-step explanation:
When you reflect over the Y axis you do (-x,y)
And so (-3,4) = (3,4)
I'm desperate, and need help, this stuff has me stuck
Answers
Answer:
its C
Step-by-step explanation:
Let be the part of the surface z=y2 that lies within the cylinder x2 +y2 =2, with upward
orientation. Use Stokes’ Theorem to evaluate ∫ ⃑∙⃑ , where ⃑(x,y,z)=〈−2yz,y,3x〉 and
is the boundary curve of
* please include steps
Answers
Using Stokes’ Theorem to evaluate ∫ ⃑∙⃑ ,The value of ∫ ⃑∙⃑ is π.
Let S be the part of the surface z=y² that lies within the cylinder x²+y²=2, with upward orientation. Use Stoke 's theorem to evaluate ∫(C) F·dr, where F(x,y,z)=⟨-2yz,y,3x⟩ and C is the boundary curve of S.
Stoke's theorem states that the line integral of a vector field around a closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve.
∫(C) F·dr=∬(S) curl(F)·dS.For F(x,y,z)=⟨-2yz,y,3x⟩, curl(F)=⟨0,-3,-2y⟩.∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dAwhere D is the projection of S onto the xy plane and N(r(u,v)) is the unit normal vector to S. First, we need to determine the boundary curve of S.
The cylinder x²+y²=2 can be parameterized by x=√2 cos(t) and y=√2 sin(t), 0≤t≤2π. The surface z=y² can be parameterized by r(x,y)=⟨x,y,y²⟩. Then the boundary curve of S is C: r(t)=⟨√2 cos(t), √2 sin(t), 2⟩, 0≤t≤2π. r_x=<-√2 sin(t), √2 cos(t), 0>, r_y=<0,0,1>.So, N(r(u,v))=r_x x r_y=⟨-√2 cos(t), -√2 sin(t), -√2⟩.
Since curl(F) = ⟨0,-3,-2y⟩,curl(F)(r(t)) = ⟨0,-3,-2(2 sin(t))⟩ = ⟨0,-3,-4sin(t)⟩.Now we have ∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dA=∫₀²π ∫₀√2 ⟨0,-3,-4sin(t)⟩ · ⟨-√2 cos(t), -√2 sin(t), -√2⟩ dA=12π∫₀²π(3cos(t)+4sin²(t))dt=12π(3(0)+2)=π.The value of ∫ ⃑∙⃑ is π.
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Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2 Which of the following functions best represents the graph?
f(x) = x3 + x2 − 4x − 4
f(x) = x3 + x2 − x − 1
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 6x − 12
Answers
Answer:
f(x) = x³ + 3x² − 4x − 12
Step-by-step explanation:
You want the function represented by the graph of a cubic with x-intercepts at -3, -2, and +2.
PolynomialThe factor corresponding to an x-intercept of p is (x -p). The given x-intercepts mean the factored polynomial is ...
f(x) = (x +3)(x +2)(x -2)
Expanding that gives ...
f(x) = x³(1·1·1) +x²(3 +2 +(-2)) +x(3·2 +3(-2) +2(-2)) +(3)(2)(-2)
f(x) = x³ +3x² -4x -12
()=−2+5()=2−4+1,ℎ.
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f(x + 2) = ?
Answers
PLS Help Ill give you 20 points.
Answers
Answer:
Mia and her family went to dinner, and the bill, including tax, came to $54.65. Mia suggested giving the server a gratuity of about 20 percent of the bill.
If they give a gratuity of 20 percent, what would be the tip rounded to the nearest dollar?
✔ $11
If they give a gratuity of 20 percent, rounded to the nearest dollar, what is the total cost of the dinner, including the tip?
✔ $65.65
Step-by-step explanation:
The amount of tip was $11 and the total cost of dinner including tip was $66.
Given that, at the dinner Mia and her family get the bill including tax, of $54.65.
Mia wants to give the server a gratuity of about 20 percent of the bill.
We need to find the amount of tip given and total cost of dinner including the tip.
a) To calculate the tip, we need to find 20 percent of the bill amount, which is $54.65.
20 percent of $54.65 = 0.20 × $54.65
= $10.93.
Rounding this amount to the nearest dollar, the tip would be $11.
b) To find the total cost of the dinner, including the tip, we need to add the tip amount to the bill.
Bill amount: $54.65
Tip amount: $11
Total cost of dinner = $54.65 + $11 = $65.65.
Rounding this total cost to the nearest dollar, the total cost of the dinner, including the tip, would be $66.
Hence the total cost of the dinner, including the $11 tip, was $66.
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Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a) Ages of people at a Little League game. b) Number of siblings of people in your class. c) Pulse rates of college-age males. d) Number of times each face of a die shows in 100 tosses.
Answers
Expect distributions of these variables are:
a) Ages of people at a Little League game are unimodal and skewed.
b) Number of siblings of people in your class is unimodal and skewed.
c) Pulse rates of college-age males unimodal and roughly symmetric.
d) Number of times each face of a die shows in 100 tosses is approximately uniform.
a) Age distribution during a Little League game is likely to be unimodal and skewed. The age range of attendees. This is because Little League has an upper age restriction and the majority of players will fall inside that range, with just a small number being outliers. As a result, the distribution is likely to be unimodal, with the majority of participants falling within a relatively small age range, and being skewed toward older ages.
b) How many siblings are in your class? The distribution of siblings in a class is probably unimodal and skewed. This is because the majority of people either have no siblings or have one or two siblings, with just a small minority having three or more. As a result, the distribution will be unimodal, with the majority of individuals falling within a very small range, and tilted in the direction of the lower numbers.
c) Males in college-age pulse rates: These men's pulse rate distributions are probably unimodal and roughly symmetric. It is doubtful that there would be different groups or outliers that would result in a bimodal distribution, even though there may be some natural variation in pulse rates. There is also no reason to assume that one tail of the distribution will be longer or more dispersed than the other, hence the distribution is probably symmetric.
d) Number of times each die face is revealed in 100 throws: The distribution of the number of times each die face is revealed in 100 throws is probably quite uniform. Each face has an equal chance of appearing on each toss, and throughout 100 tosses, each face is expected to do so roughly the same amount of times, assuming a fair die. As each face should appear nearly equally often, the distribution should be quite consistent.
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et X be a random variable with pdf fX (x) = {x/4 1 Less then or x Less than or 3 0 otherwise, and let A be the event {X Less than or 2} Find E[X], P (A), f_X|A (x), E[X|A]. Let Y = X^2. Find E[Y] and var (Y).
Answers
E[X] = 11/12, P(A) = 1/2, E[X|A] = 4/3
fX|A (x) = {2/3 0 Less then or x Less than or 2 0 otherwise
E[Y] = 4/3, var(Y) = 4/5
What are the expected value and probability of event A, and how are they affected by the condition X<2?The expected value of X, denoted as E[X], can be calculated by integrating the product of the random variable X and its probability density function (pdf) fX(x) over its entire range. In this case, the pdf is defined as fX(x) = x/4 for 1 ≤ x < 3 and 0 otherwise. Integrating x*(x/4) over the range [1, 3] yields E[X] = 11/12.
The probability of event A, denoted as P(A), can be determined by integrating the pdf fX(x) over the range where X < 2. Since fX(x) is equal to x/4 for 1 ≤ x < 2 and 0 otherwise, integrating (x/4) over the range [1, 2] gives P(A) = 1/2.
The conditional pdf fX|A(x) represents the probability density function of X given the event A has occurred. In this case, when A occurs (X < 2), fX|A(x) is equal to 2/3 for 0 ≤ x < 2 and 0 otherwise.
The expected value of X given event A, denoted as E[X|A], can be calculated by integrating the product of X and fX|A(x) over its range. Integrating x*(2/3) over the range [0, 2] yields E[X|A] = 4/3.
The random variable Y is defined as the square of X. To find E[Y], we need to calculate the expected value of Y. Since Y = X^2, we can use the linearity of expectation and compute E[Y] as E[X^2]. From the previously calculated E[X], E[Y] is equal to (11/12)^2 = 121/144.
The variance of Y, denoted as var(Y), can be calculated using the formula var(Y) = E[Y^2] - (E[Y])^2. Since we have already calculated E[Y], we need to find E[Y^2]. Since Y = X^2, E[Y^2] is equivalent to E[X^4]. However, we do not have enough information about the higher moments of X to directly compute E[X^4]. Therefore, we cannot determine the exact value of var(Y) without additional information.
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distancia entre un punto y una recta
ejercicio: (6y-5)+1=-8
Answers
Eric walks around a triangular path. At each corner, he records the measure of the angle he creates. He makes one complete circuit around that path. What is the sum of three angle measures that he wrote down
Answers
Answer:
180 degrees
Step-by-step explanation:
What we simply want to do here is to find the sum of all the angles marked by Eric as he walks around the triangular path.
From the question, we are told that he walks around and made a complete circuit, marking a specific angle at each corner. So what this translates to is that at each corner, we have an angle, with the three angles marked forming a triangle.
And from preliminary trigonometry, we know that the sum of angles in a triangle is 180. So by adding each of the angles in the triangular part together, we have a total of 180 degrees
Answer:
180
Step-by-step explanation:
Consider the third order polynomial
3x^3 + 13x^2 + 18x - 12
Answers
To provide a solution for this problem, we can factor the polynomial or find its roots using the rational root theorem.
One possible factorization of the polynomial is:
3x^3 + 13x^2 + 18x - 12 = (x+1)(3x^2 + 10x - 12)
To obtain this factorization, we can start by trying factors of the constant term -12 that might work as roots of the polynomial.
One such factor is -1, so we can use synthetic division or long division to divide the polynomial by x+1. This gives us a quotient of 3x^2 + 10x - 12, which can be factored using the quadratic formula or other methods.
The roots of the polynomial can be found by setting each factor equal to zero and solving for x. This gives us:
x+1 = 0 or 3x^2 + 10x - 12 = 0
The first equation has a single root of x = -1. The second equation can be solved using the quadratic formula or factoring, giving us two more roots:
x = (-10 ± sqrt(100 + 4312)) / (2*3) = (-10 ± 2sqrt(19)) / 3
Therefore, the roots of the polynomial are -1, (-10 + 2sqrt(19))/3, and (-10 - 2sqrt(19))/3.
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If you stand facing east and turn through 3/4 of a revolution, in which direction will you be facing?
Answers
Steps for -22= - (x-4)
Answers
Answer:
To solve for x, isolate it on one side of the equation.
Distribute the negative sign to all the terms on the right side of the equation. IMPORTANT: Two negatives make a positive. One positive and one negative make a negative.
-22=-x+4
Subtract 4 from both sides.
-22-4=-x
Combine like terms on the left side.
-26=-x
Divide both sides by -1.
x=26
Hope this helps! :)
Answer:
\(x=26\)
Step-by-step explanation:
1) Distribute
\(-22=-x+4\)
2) Subtract 4 from both sides of the equation
\(-22-4=-x+4-4\)
3) Simplify
a. Subtract the numbers
\(-26=-x+4-4\)
b. Subtract the numbers
\(-26=x\)
4) Divide both sides of the equation by the same term
\(\frac{-26}{-1}=\frac{-x}{-1}\)
5) Simplify
a. Divide the numbers
\(26=\frac{-x}{-1}\)
b. Cancel terms that are in the numerator and denominator
\(26 = x\)
c. Move the variable to the left
\(x=26\)
Asap please what is the answer???
Answers
As long as the number is less than 1, the equation is true because 2/3 times 1 is 2/3, and we need less than 2/3.
A, B, and D are less than 1 because the numerator is less than the denominator for each one.
The answers are A, B, and D.
.Rachel goes shopping at HEB. She buys 1.4 pounds of ground beef. The cost per pound for ground beef is $2.50 per pound. She also buys a can of tomato sauce for $1.99 and a package of spaghetti for $1.75. What was the total amount that she paid for these items?
Answers
+$1.99+$1.75= $7.24
$7.24 is your answer
total: 7.24
adding all these up, we get $7.24
she pays:
$3.50 for 1.4lbs of ground beef (1.4 x 2.50)
$1.99 for sauce
$1.75 for spaghetti
pleaseee help me w dis asap!!!
Answers
Answer:
1). g(x) = \(5^{3x}\)
2). g(x) = \(\frac{1}{3}5^{x}\)
3). g(x) = \(3(5)^{x}\)
4). g(x) = \(5^{\frac{1}{3}x}\)
Step-by-step explanation:
Parent function f(x) = \(a^{x}\) when transformed in the form of \(g(x)=h(a^{\frac{x}{k} })\)
1). If h > 1, function is vertically stretched.
2). If 0 < h < 1, function is vertically compressed.
3). If k > 1, function is horizontally compressed.
4). If 0 < k < 1, function is horizontally stretched.
Parent function of the given functions in the question is f(x) = \(5^{x}\)
g(x)= \(\frac{1}{3}(5^{x})\), parent function is vertically compressed by a factor of \(\frac{1}{3}\).
g(x) = \(5^{3x}\), parent function 'f' is horizontally stretched by a factor of 3.
g(x) = \(5^{\frac{x}{3}}\), parent function 'f' is horizontally compressed by a factor of \(\frac{1}{3}\).
g(x) = \(3(5^{x})\), parent function 'f' is vertically stretched by a factor of 3.
suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. a sample is drawn from this population of size 64. expressing your answer to one decimal place, what is the standard error of the mean?
Answers
The standard error with "mean of 7 for some characteristic of interest and a standard deviation of 9.6 and a sample is drawn from this population of size 64" is 1.2.
What is standard error?Standard deviation of the theoretical distribution of a large population of such estimates is equal to the standard error, which is a measure of an estimate's statistical accuracy. The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
Here,
Sample size=64
Standard deviation= 9.6
Error=Standard deviation/Sample size
=σ/√n
=9.6/√64
=9.6/8
=1.2
The sample is taken from this population of 64 people, with a mean of 7 for some relevant characteristics, a standard deviation of 9.6, and a standard error of 1.2.
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If the vertex of the function is at the point (0, 0.5), what is the recommended amount of mulch for a flowerbed with a radius of 20 feet? round to the nearest tenth if necessary.
Answers
Given that the vertex of the function is at the point (0, 0.5).We are required to find the recommended amount of mulch for a flowerbed with a radius of 20 feet.
Let us find the equation of the parabola with the vertex at (0,0.5).
The general equation of the parabola is given as:y = a(x - h)² + k
Where(h, k) = (0, 0.5)
=> h = 0 and k = 0.5
Therefore, the equation of the parabola is:
y = a(x - 0)² + 0.5y = ax² + 0.5
We have another point on the parabola given as (20, 2).We can use this point to find the value of a.
Substituting the point (20, 2) in the equation of the parabola we get:
2 = a(20)² + 0.52
= 400a + 0.5a
= 1.5/400
a = 3/8000
Substituting the value of a in the equation of the parabola, we get:
y = (3/8000)x² + 0.5
Let us now find the volume of the flowerbed with a radius of 20 feet.We know that the flowerbed is in the shape of a hemisphere.
Hence,Volume of the flowerbed = (2/3)πr³ = (2/3) × π × (20)³
= 33,510.32 cubic feet
Let us find the height of the flowerbed at a distance of 20 feet from the center.The distance from the center of the flowerbed to the edge is 20 feet.
Therefore, the point on the parabola at a distance of 20 feet from the origin will be (20, h).Let us find the value of h.
Substituting x = 20 in the equation of the parabola, we get:
h = (3/8000)(20)² + 0.5
= 0.8 feet
The height of the flowerbed at a distance of 20 feet from the center is 0.8 feet.The volume of the mulch required will be the volume of the hemisphere with radius 20 and height 0.8 feet.
Volume of mulch required = (2/3)πr²h
= (2/3) × π × (20)² × 0.8
= 6716.32 cubic feet
Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.
Therefore, the recommended amount of mulch for a flowerbed with a radius of 20 feet is 6716.32 cubic feet.
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what sampling method is interviewing every 4th person who leaves the movie theatre about whether they like the new popcorn
Answers
The sampling method described, where every fourth person who leaves the movie theater is interviewed about their opinion on the new popcorn, is an example of systematic sampling.
Systematic sampling involves selecting every kth element from a population to form a sample.
In this case, the interval is set to four (k = 4), meaning that every fourth person is chosen for the interview.
This method provides a structured approach and ensures that the sample is representative of the population if there is no systematic pattern or bias in the order of the individuals leaving the theater. However, if there is any regular pattern in the population, such as groups of people attending together, it may introduce bias into the sample.
Overall, systematic sampling is a convenient and efficient method that provides a reasonable representation of the population when applied correctly.
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Write a formula that describes the value of an initial investment of $300, growing at an interest rate of 6%, compounded monthly.
Answers
The formula which describes the given situation is A = 300 \(e^{0.06t}\) . The solution is obtained by using compound interest.
What is compound interest?
Unlike simple interest, which does not take the principal into account, compound interest does so when calculating the interest for the following month. Compound interest is sometimes represented by the letter C.I. in algebra.
We know that the formula for compound interest is
A = P\(e^{rt}\)
In the question, we are provided with the following information
P = $300
r = 0.06
So, from this we get
A = 300 \(e^{0.06t}\)
Hence, the formula which describes the given situation is A = 300 \(e^{0.06t}\) .
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Using approximations to 1 significant figure,
estimate the value of
0.482 x 61.2^2 / square root 98.01
URGENT!
please help i have 5 mins left of my test
Answers
Answer:
200
Step-by-step explanation:
Given:
0.482 x 61.2^2 ÷ √98.01
61.2^2 = 3745.44
√98.01 = 9.9
So,
0.482 × 3745.44 ÷ 9.9
= 1,805.30208 ÷ 9.9
= 182.35374545454
To one significant figure
= 200
One significant figure means only 1 non zero value and others are zero
The approximation to 1 significant figure of the result is 200
Given that:
To express \(\dfrac{0.482 \times 61.2^2}{\sqrt{98.01}}\\\) with approximation to 1 significant figure.
The calculations will go like this:
\(\dfrac{0.482 \times 3745.44}{\sqrt{98.01}}\\\\=\dfrac{1805.302}{9.9}\\\\\approx 182.35\\\)
Significant figure 1 means only 1 non zero digit should be present and rest places can be having zeros.
Rounding to 1 significant figure:
200
Thus, the result approximated to 1 significant figure is 200.
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a director of reservations believes that 7% of the ticketed passengers are no-shows. if the director is right, what is the probability that the proportion of no-shows in a sample of 445 ticketed passengers would differ from the population proportion by greater than 3%? round your answer to four decimal places.
Answers
Probability that the ticketed passengers the proportion of no-shows in a sample would be greater then 7% is 4.9465.
Given that,
A director of reservations estimates that 7% of the passengers with tickets do not arrive.
We have to find what is the probability that a sample of 445 ticketed passengers would have a no-show rate that was higher than 3% different from the general rate, if the director is correct.
We can write as
Number of no shows ticketed passenger is 7% of 445
= 7% × 445 =31.15
Now,
We have to find probability that 31.15 people or less will be no shows.
Probability of No show ticketed passengers, p = 3% = 0.03
Probability of ticketed passengers who show tickets, q = 97% = 0.97
Mean Number of no shows = 3% of 445
= 0.03 × 445 = 13.35
The Standard Deviation for no show can be written as ,
σ =\(\sqrt{n\times p \times q}\)
σ =\(\sqrt{445 \times 0.03 \times 0.97}\)
σ =\(\sqrt{12.9495}\)
σ =3.5985
Now, z-score is x-μ/σ
=31.15-13.35/3.5985
=17.8/3.5985
=4.9465
Therefore, Probability that the proportion of no-shows in a sample would be less than 7% is 4.9465.
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I NEED HELP FOR THIS PLEASE sushensnsjskdnsndjdndndn
Answers
Answer:
Step-by-step explanation:
y=-1/4x-13/4
now put any value for x, then u get a y value. Then find the points on the graph.
Some sportsmen fish for snapping turtles, as they are good to eat and fun to catch (at least according to some sportsmen). The average length of a snapping turtle is 32.5 inches, and the standard deviation is approximately 6.3 inches. In a certain state, a snapping turtle must be 25 inches in length or longer in order to keep it. Assume the distribution is normal.
In this state, what percent of snapping turtles are legal to keep?
In this state, what percent of snapping turtles are considered illegal to keep?
The department of natural resources wishes to restrict fishing for snapping turtles in a certain area where their population is declining. What minimum length should be set so that fishermen are only allowed to keep snapping turtles in the top 10% of size?
Answers
In this state, 88.3% of snapping turtles are legal to keep, and 11.7% are considered illegal to keep.
Explanation:
In this state, the percentage of snapping turtles that are legal to keep can be calculated using the z-score formula
: Z = (X - μ) / σ,
where X is the length requirement,
μ is the average length, an
d σ is the standard deviation.
1. Calculate the z-score for 25 inches: Z = (25 - 32.5) / 6.3 = -7.5 / 6.3 ≈ -1.19
2. Use a z-table to find the percentage: P(Z < -1.19) ≈ 0.117
3. The percentage of snapping turtles that are legal to keep is 100% - 11.7% = 88.3%.
In this state, 88.3% of snapping turtles are legal to keep, and 11.7% are considered illegal to keep.
For the department of natural resources to restrict fishing so that only the top 10% of snapping turtles are allowed to be kept, we need to find the minimum length that corresponds to the top 10% of the population.
1. Find the z-score corresponding to the top 10%: Using a z-table, we find that the z-score is approximately 1.28.
2. Use the z-score formula to find the minimum length: X = μ + Z * σ = 32.5 + 1.28 * 6.3 ≈ 40.56 inches.
The department of natural resources should set a minimum length of approximately 40.56 inches to only allow fishermen to keep snapping turtles in the top 10% of size.
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Calculate the length of the thirst side.
Answers
Answer:
21
Step-by-step explanation:
Assuming this is a right triangle, we can use Pythagorean Theorem to find the third side. We'll represent the missing side with the variable x.
x² + 20² = 29²
x² + 400 = 841
x² = 441
x = 21
Therefore, the length of the third side is 21.
Simplify (p^7)^2/p^5
Answers
Given:
\(\frac{(p^7)^2}{p^5}\)Use the rules for exponents, according to the steps below.
Step 01: Use The Power Rule for Exponents.
According to this rule:
\((a^b)^c=a^{b\cdot c}\)Then,
\((p^7)^2=p^{7\cdot2}=p^{14}\)Substituting it, we have:
\(\frac{p^{14}}{p^5}\)Step 02: Use The Quotient Rule of Exponents.
According to this rule:
\(\frac{a^b}{a^c}=a^{b-c}\)Then,
\(\frac{p^{14}}{p^5}=p^{14-5}=p^9\)Answer: p⁹.
if the temperature of the turducken is 150 after half an hour, what is the temperature after 45 minutes
Answers
If the temperature of the turducken is 150° after half an hour, the temperature of the turducken after 45 minutes is 225 degrees.
To determine the temperature of the turducken after 45 minutes, we first need to establish the rate at which the temperature is changing.
Find the temperature change after half an hour (30 minutes)
The given temperature after 30 minutes is 150 degrees.
Calculate the rate of temperature change per minute
Temperature change / time = 150 degrees / 30 minutes = 5 degrees/minute
Determine the temperature after 45 minutes
Since the temperature increases by 5 degrees every minute, we need to find the temperature increase for an additional 15 minutes (45 minutes - 30 minutes = 15 minutes).
Temperature increase for 15 minutes = 5 degrees/minute * 15 minutes = 75 degrees
Add the temperature increase to the initial temperature
Temperature after 45 minutes = 150 degrees (initial temperature) + 75 degrees (increase) = 225 degrees
Therefore, the temperature of the turducken after 45 minutes is 225 degrees.
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Name two numbers in between -0.3 and 0.6?
Answers
Answer:
-0.2 and -0.1
To give some examples,
00.2-0.16how many combinations from 4 entrees, 6 vegetables, and 6 deserts if you can pick only 1 entree,2 vegetables, and 1 desert
Answers
There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.
To determine the number of combinations, we multiply the number of options for each category.
For the entree, we have 4 options to choose from.
For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.
This is calculated as 6! / (2!(6-2)!), which simplifies to
6! / (2!4!)
Similarly, for the dessert, we have 6 options to choose from.
To calculate 6 choose 2, we can use the formula for combinations:
n choose r = n! / (r!(n-r)!).
Plugging in the values, we have
6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.
Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.
Multiplying these numbers together, we get 4 × 15 × 6 = 144.
Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.
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