A 16.0 kg fish swimming at 1.40 m/s suddenly gobbles up a 4.50 kg fish that is initially stationary. Neglect any drag effects of the water.
Find the speed of the large fish just after it eats the small one.
How much mechanical energy was dissipated during this meal?
Answers
The speed of the large fish just after it eats the small one is approximately 1.09 m/s.
Total initial kinetic energy = 19.6 J
Mechanical energy dissipated ≈ 7.4 J
To find the speed of the large fish just after it eats the small one, we'll use the conservation of momentum principle. The total momentum before the event equals the total momentum after the event.
Initial momentum:
16.0 kg fish * 1.40 m/s = 22.4 kg·m/s
The 4.50 kg fish is initially stationary, so its momentum is 0 kg·m/s.
Total initial momentum = 22.4 kg·m/s
After the meal, both fish move together with a combined mass of 16.0 kg + 4.50 kg = 20.5 kg. Let the final speed be Vf.
Total final momentum = 20.5 kg * Vf
According to conservation of momentum, initial momentum = final momentum:
22.4 kg·m/s = 20.5 kg * Vf
Solving for Vf:
Vf = 22.4 kg·m/s / 20.5 kg
Vf ≈ 1.09 m/s
To find the mechanical energy dissipated during this meal, we'll calculate the initial and final kinetic energies and then find the difference.
Initial kinetic energy:
16.0 kg fish: 0.5 * 16.0 kg * (1.40 m/s)^2 = 19.6 J
4.50 kg fish: 0.5 * 4.50 kg * (0 m/s)^2 = 0 J
Final kinetic energy:
20.5 kg combined fish: 0.5 * 20.5 kg * (1.09 m/s)^2 ≈ 12.2 J
Mechanical energy dissipated = Initial kinetic energy - Final kinetic energy
Mechanical energy dissipated ≈ 19.6 J - 12.2 J
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Related Questions
Claim: Fewer than 10.4% of homes have only a landline telephone and no wireless phone. Sample data: A survey by the National Center for Health Statistics showed that among 15,577 homes 5.76% had landline phones without wireless phones. Complete parts (a) and (b). a. Express the original claim symbolic form. Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone. ________
(Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses H0: ___
H1;____ (Type integers or decimals. Do not round.)
Answers
Hypothesis (H1): The proportion of homes that have only a landline telephone and no wireless phone is less than 0.104.
H0: p ≥ 0.104
H1: p < 0.104
a. The original claim can be expressed symbolically as:
The parameter p, representing the proportion of homes that have only a landline telephone and no wireless phone, is less than 0.104.
b. Null hypothesis (H0): The proportion of homes that have only a landline telephone and no wireless phone is equal to or greater than 0.104.
Alternative hypothesis (H1): The proportion of homes that have only a landline telephone and no wireless phone is less than 0.104.
H0: p ≥ 0.104
H1: p < 0.104
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
The graph of 2x + y =8 is shown on the graph below. Graph the equation y= 1/3x - 6 on the same coordinate plane below. Plot the point that represents the solution to the system considering of the two equations.
Answers
Answer:
See graph below. The point is (6,-4)
Step-by-step explanation:
I used a scale of 1 for the x and y axis. Your graph uses a scale of counting by 2's
1/2 + z/7 = 5/14
What is Z?
Answers
nvm thts confusing sorry
Answer:
z = -1
Step-by-step explanation:
1/2 + z/7 = 5/14
Multiply both sides of the equation by 14
7 + 2z = 5
Subtract 7
2z = -2
Divide both sides by 2
z = -1
Plug -1 in for z to check
1/2 + (-1/7) = 5/14
Given the equation y = 3(2)x
Answers
Regarding the exponential function y = 3(2)^x, we have that:
We know that the graph has a y-intercept at (0,3), because the a-value is of 3.We know that the graph models exponential growth, because the b-value is of 2.The numeric value of the function at x = 3 is given as follows: 24.What is the exponential function?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.The function for this problem is given as follows:
y = 3(2)^x.
Hence the parameters are given as follows:
a = 3 -> y-intercept at (0,3).b = 2 > 1, hence exponential growth.At x = 3, the numeric value of the function is obtained as follows:
y = 3 x 2^3
y = 3 x 8
y = 24.
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A ______ can have one of two values, true or false, and is often used in if statements.
Answers
A boolean expression can have one of the two values, true or false and is often used in if statements.
Given: To identify what is used in if statements that has either of the two values, true or false.
What are boolean expressions?
Boolean expressions are logical statements that can either be true or false.
Boolean expressions are used to compare different values which are of the same domain and to verify if the condition of comparison is true or false.
For example: 4 > 5 , is this statement true? With the help of boolean variables "true" and "false" we can say that 4 > 5 is "false"
NOTE: There are two boolean variables : TRUE and FALSE
The boolean value TRUE is equivalent to 1 in the integer domain.
The boolean value FALSE is equivalent to 0 in the integer domain.
The common operators that are often used in boolean expressions are OR, AND and NOT.
For example: 7 > 6 OR 0 < 90
Now 7 > 6 is TRUE, also 0 < 90 is TRUE
So, TRUE OR TRUE gives TRUE
Hence 7 > 6 OR 0 < 90 is TRUE, the condition is verified.
The "if" statement is a conditional statement in programming which when TRUE performs certain given information and if FALSE it either terminates or performs some other statements that may be defined in the else or the FALSE part.
"if" statements works on boolean values TRUE and FALSE.
It's like IF this is TRUE do this or ELSE do that.
The structure of if statement is:
if <condition>
//statements [executed if condition is TRUE]
else
//statements [executed if condition is FALSE]
Hence a boolean expression can have one of the two values, true or false and is often used in if statements
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A Boolean expression can have one of the two values, true or false and is often used in if statements.
We are given a statement about an expression which can have the values as true or false and is mostly used in the if statements.
We need to identify the expression that they are talking about.
We get that, they are talking about the Boolean expression as it is the only expression that has the values as True or False and is often used in the if statements to know whether those statements are correct or not.
Therefore, a Boolean expression can have one of the two values, true or false and is often used in if statements.
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Which equation is the result of adding theses two equations -2x+4y=17 3x-10y=-3
Answers
Answer:
x=-79/4, y=-45/8. (-79/4, -45/8).
Step-by-step explanation:
-2x+4y=17
3x-10y=-3
---------------
3(-2x+4y)=3(17)
2(3x-10y)=2(-3)
----------------------
-6x+12y=51
6x-20y=-6
------------------
-8y=45
y=45/-8=-45/8
3x-10(-45/8)=-3
3x+450/8=-3
3x+225/4=-3
3x=-3-225/4
3x=-12/4-225/4
3x=-237/4
x=(-237/4)/3
x=(-237/4)(1/3)
x=-237/12=-79/4
CD player: $142.00
Sales tax: 5.5%
Answers
The total amount paid by a customer who purchased a CD player at $142.00 and sales tax of 5.5% is $149.81
Sales taxCost of CD player = $142.00Sales tax = 5.5%Amount of sales tax = 5.5% of $142.00
= 5.5/100 × 142
= 0.055 × 142
= $7.81
Total amount paid by customers = Cost of CD player + Amount of sales tax
= $142.00 + $7.81
= $149.81
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Calculate a one-way ANOVA, including a Tukey's HSD, for the data from the Happiness and Engagement Dataset.
Answers
To calculate a one-way ANOVA with Tukey's HSD for the Happiness and Engagement Dataset, gather the data and set up the null and alternative hypotheses. Perform the ANOVA analysis to determine if there is a significant difference between group means. If significant, conduct Tukey's HSD to identify specific group differences based on confidence intervals and p-values.
To calculate a one-way ANOVA, including Tukey's HSD, for the data from the Happiness and Engagement Dataset, you will follow these steps:
1. Obtain the data: Gather the data from the Happiness and Engagement Dataset. This dataset should include measurements of happiness and engagement from different groups or conditions.
2. Set up the hypotheses: Define the null and alternative hypotheses. The null hypothesis states that there is no significant difference between the means of the groups, while the alternative hypothesis states that there is a significant difference between at least two of the means.
3. Calculate the ANOVA: Use statistical software or a calculator to perform the one-way ANOVA analysis. This analysis compares the variation between groups to the variation within groups to determine if there is a significant difference. The output will include an F-statistic, p-value, and other relevant statistics.
4. Interpret the ANOVA results: Examine the p-value associated with the F-statistic. If the p-value is less than the chosen significance level (usually 0.05), reject the null hypothesis and conclude that there is a significant difference between the means of the groups.
5. Perform Tukey's HSD: If the ANOVA results are significant, conduct Tukey's Honest Significant Difference (HSD) post hoc test to determine which specific group means differ significantly from each other. Tukey's HSD accounts for multiple comparisons and helps identify pairwise differences in means.
6. Interpret the Tukey's HSD results: Analyze the output of Tukey's HSD test to identify significant differences between specific groups. The output will typically include a table or list showing which group means are significantly different, along with confidence intervals and p-values.
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here are 5 airplanes ready to depart. runway a and runway d are available. how many ways can 2 planes be assigned to runways without using the same runway?
Answers
Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.
What is the permutation?
The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.
Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged.
Here given that,
Here are five airplanes ready to depart. runway \(A\) and runway \(D\) are available.
Number of ways to assign \(3\) planes to that runway is
\(^5C_3=^5C_2=10ways\)
Then for each group
Each group of three planes can be arranged in \(^3P_3=3!=6ways\)
Each group of three planes can be arranged in \(^2P_2=2!=2ways\)
So total number of arrangements are
\((2)(10)(6)(2)=240ways\)
Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.
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The number of hours worked, x, and the total dollars earned, y, have a strong positive relationship.
Explain what it means to have a strong positive relationship in this situation.
Answers
A strong positive relationship between number f hours worked, x, and the total dollars earned, y, means that the higher the number of hours worked, the higher the total dollars earned and vice versa.
Recall:
When two variables, x and y, have a strong positive relationship, it implies that if variable x moves higher, variable will also move in the same direction and with the same magnitude. If variable x moves lower, variable y will also do same with the same magnitude.Therefore, a strong positive relationship between number f hours worked, x, and the total dollars earned, y, means that the higher the number of hours worked, the higher the total dollars earned and vice versa.
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100 POINTS! HELP ON 9 AND 10 PLEASE
Answers
Answer:
ok so each little piece of a cube would be .05 mile if each grid piece is .05 mile than mulitply the amount of grid pieces by the numner 0.05
Step-by-step explanation:
Hope this helps, i can give you this much, but the full answer you need to find and understand on your own!
Answer:
I would assume you have finsished this by now.
Step-by-step explanation:
Thank you for the free points!
Help me please I need help asap
Answers
6/2 = 3
5*3 = 15
The dilation is times 3
For each number, determine if it can be written as a fraction. Then state the reason.
Answers
Answer:
yes, yes, no, yes
Answer:
yesnoyesyesStep-by-step explanation:
You want to know if the four given numbers can be written in the form of a fraction.
Rational numbersA number can be written as a fraction if it is a rational number.
A rational number written in decimal form will have a terminating or repeating decimal part. A repeating decimal may be indicated different ways.
0.373737... repeating digits 37
\(0.2\overline{3} \qquad\textsf{repea}\textsf{ting digit 3}\)
Find the solutions of the equation.
23 <3x-3(-) ≤ 66
a) (-, 11)u[33, [infinity])
b)(-, 11]u[33,[infinity])
c) (11,33)
d) [11, 33]
e) (11, 33]
f) None of the above.
Answers
The solution to the inequality is:
x ∈ (-∞, -21].
The correct option is F.
To solve the given inequality, we'll first simplify the expression:
23 < 3x - 3 ≤ -66
To simplify the inequality,
23 < 3x - 3 ≤ -66
Adding 3 to all parts of the inequality:
23 + 3 < 3x - 3 + 3 ≤ -66 + 3
Simplifying:
26 < 3x ≤ -63
Next, divide all parts of the inequality by 3:
26/3 < 3x/3 ≤ -63/3
Simplifying:
8.67 < x ≤ -21
Therefore, the solution to the inequality is:
x ∈ (-∞, -21]
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Solve 8=2^(x+4)
A. X=-4
B. x= -1
C. X= 0
D. X=7
Answers
Answer:
\(\boxed{\underline{\tt B.\:x=-1}}\)
Step-by-step explanation:
\(\tt 8=2^{(x+4)}\)
(First, convert both sides to the same base):-
\(\tt 2^3=2^{x+4}\)
(Now, cancel the base of 2 on both sides):-
\(\tt 3=x+4\)
(Subtract 4 from both sides):-
\(x+4-4=3-4\)
\(\tt x=-1\)
~
PLEASE HELP FAST I NEED THE ANSWER!!!!!
Which answers are examples of deductive reasoning?
Select each correct answer.
1. Jonathan leaves for school at 7:30 a.m. and is on time. Jonathan will always be on time if he leaves at 7:30 a.m.
2. Mary and Sue are friends. Mary enjoys fishing, running, and rock climbing. Sue likes fishing and rock climbing. Sue must also like running.
3. The local grocery store charges $3 for a gallon of milk. Joe is going to the local grocery store to buy milk. Therefore, Joe expects to spend $3 for a gallon of milk.
4. All three angles in an equilateral triangle measure 60°. Triangle ABC is an equilateral triangle. Therefore, all three angles in triangle ABC measure 60°.
Answers
Paula drew the sketch below of the kite that she wants to make.
Part b what will the area of Paula's kite be Explain
Pls I need help
Answers
They are triangle
The area of the triangle base*height/2
20*16in/2=160*2 because there are 2 triangles of the same measures
16*40in/2=320in^2*2 because there also two triangle of the same measures
Now add (320*2)+(160*2)
The area of the kite = 960in^2
Which is the better value? 12 bottles of juice for $15.00, or 18 bottles of juice for $23.04?
Answers
Answer: it’s 1.25 for the first and 1.28 for the second so the first of 12 bottles 15$ Is the better value
Step-by-step explanation:
Please help me....
I've been taught a tedious way different from how IXL does it on how to solve for area . Ive tried everything I could to figure these out without trying to cheat but its impossible for me.. ;-;
Answers
2 ways u could do it:
45 x 24 = 1080
5 x 20 = 100
9+5=14
14x9 = 126
100+126=226
1080-226 = 854
I just worked out the total area of a whole rectangle then took away the missing parts
Or you could split it into different sections:
24x16=384
24-5=19
19x20=380
9x10=90
384+380+90=854
−5x+4y=3
x=2y−15
what would be the values of x and y
Answers
Answer:
x=9 y=12
Step-by-step explanation:
eqn 1 - x=2y-15
eqn 2- -5x+4y=3
-5(2y-15)+4y=3
-10y+75+4y-3=0
-6y+72=0
y= 12
x=2y-15
x=2(12)-15
x= 9
Substitution,
-5(2y-15) + 4y=3
-10y + 75+ 4y=3
75-3 = 10y - 4y
6y = 72
y. = 72/6
Y= 12
Now find x
X= 2(12) - 15
X= 24 - 15
X= 9
Soo
X= 9; Y= 12
f(x)=x^2-1 g(x)=x+2 g(f(x)) =
Answers
Answer:
If f (x) = x² – 1, and g(x) = x + 2, then g(f(x)) = [ ? ]x²+[ ]x+ [ ]
What is the product of 11x and (3x - y)?
Answers
Answer:
33x²-11xy
Step-by-step explanation:
11x × (3x-y)=
33x²-11xy
x × x is x²
x × y is xy
Answer:
33x²-11xy
Step-by-step explanation:
11x × (3x - y)= 33x²-11xy
Mya is buying a purse online that regularly costs $72. How much will she pay i total if she has a promo code for 25% off plus free shipping and sales tax is 5.5%? Thanks :)
Answers
Answer: If Mya has a promo code for 25% off, she will pay:
$72 - (25% of $72) = $54
This means that the price of the purse will be reduced by $18.
Since she also gets free shipping, the total cost of the purse will be $54.
Now, to calculate the sales tax, we need to find 5.5% of $54:
5.5% of $54 = (5.5/100) x $54 = $2.97
Therefore, the total cost that Mya will pay for the purse, including the sales tax, will be:
$54 + $2.97 = $56.97
So Mya will pay $56.97 in total for the purse.
Step-by-step explanation:
HELP PLEASE!!!!!!!! 10 points Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).The expression above can also be written in the formaand c-For this expression
Answers
The Solution.
The given number is
\(3^{\frac{6}{5}}\)By fractional index law of indices, we have
\(3^{\frac{6}{5}}=\sqrt[c]{a^b}\)This implies that:
\(a=3,b=6,c=5\)Hence, the correct answer is: a = 3, b = 6, and c = 5.
3. Find x. The units below are in feet.
4. Find x. The units below are in feet.
Answers
(3) The value of x in the triangle is determined as 12.
(4) The value of x in the triangle is determined as 9.6
What is the value of x?(3) The value of x is calculated by applying the following formula for similar triangles.
x/12 = (x + 6) / 18
18x = 12(x + 6)
18x = 12x + 72
18x - 12x = 72
6x = 72
x = 72 / 6
x = 12
(4) The value of x is calculated by applying the following formula for similar triangles.
x / (15 + 3) = (4 + 4) / 15
x / 18 = 8 / 15
15x = 18 x 8
15x = 144
x = 144/15
x = 9.6
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What squared equals 28? Thank you!
Answers
Answer:
√28 = 2√7 or roughly 5.29
Step-by-step explanation:
work backwards! sqr of 28 = x^2 that equals 28
√28 = 2√7 or roughly 5.29
Answer:
2
√
7
Step-by-step explanation:
Laura has a strip of ribbon 1 m long. How many one thirds strips can be cut from it
Answers
From the given information provided, Laura can cut 3 one-thirds strips from the 1 meter long ribbon.
If Laura has a strip of ribbon 1 meter long, we need to find out how many one-thirds strips can be cut from it.
To do this, we need to divide the length of the ribbon by the length of each one-third strip:
Number of one-thirds strips = Length of ribbon / Length of one-third strip
The length of each one-third strip is 1/3 meters, since one-third of a meter is required to make each strip.
So we can substitute these values into the formula:
Number of one-thirds strips = 1 meter / (1/3 meter)
Number of one-thirds strips = 1 meter x (3/1)
Number of one-thirds strips = 3
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Which shows the correct solution of the equation 1/2a+2/3b=50, when b=30 ?
Answers
Answer:
Step-by-step explanation:
1/2a+20=50
1/2a=30
a=10
Answer:
a= 60
Step-by-step explanation:
1/2a+2/3b=50, when b=30
Let's first subsitute 30 into b:
1/2a+2/3(30)=50
According to the order of operations, we must multiply 2/3 and 30 first. So:
2/3 times 30 equals 20.
2/3 times 30/1. 3 goes into 30 ten times, so 2 times 10= 20.
Now we got:
1/2a+20=50
Since 20 and 50 are like terms, you want to geth those two together. So, move the positive 20 to the other side where 50 is. Since 20 got moved to the opposite side, it changes signs and becomes negative.
So:
1/2a=50-20
50-20= 30
1/2a=30
Multiply each side by 2 because 2 is the only number that'll make the variable a just 1a.
1/2a times 2= 1a
30 times 2= 60, so:
1a= 60, which is also a= 60.
So a= 60.
CAN SOMEONE PLEASE DO THIS IF I DONT I WILL FAIL 8TH GRADE PLZ HELP ILL GIVE ALL MY POINTS PLZZZZZ HELP ILL DO ANYTHING PLZ :(((((((((((((((((((((
Answers
Answer:
what am i suppose to help with
Step-by-step explanation:
Answer:
umm, theres nothing there
Step-by-step explanation:
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 11 percent, has a YTM of 9 percent, and has 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 9 percent, has a YTM of 11 percent, and also has 15 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today?
Answers
Answer:
Price of Bond X : $1,162.89
Price of bond Y : $854.66
Step-by-step explanation:
Given the following information :
Bond X :
Face value = $1000
Yield to maturity (YTM) / market interest rate = 9%
Coupon rate = 11%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.
For Bond Y:
Face value = $1000
Yield to maturity (YTM) / market interest rate = 11%
Coupon rate = 9%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.