A mockingbird will beat its wings approximately 1,680 times in 2 minutes.
To find the number of times a mockingbird will beat its wings in 2 minutes, we need to determine the average number of wing beats per second and then multiply that by the total number of seconds in 2 minutes.
From the given data, we can see that the mockingbird's wing beats per second are as follows:
30 seconds -> 420 wing beats
90 seconds -> 1,260 wing beats
150 seconds -> 2,100 wing beats
To find the average number of wing beats per second, we can sum up the total number of wing beats and divide it by the total number of seconds:
Total wing beats = 420 + 1,260 + 2,100 = 3,780
Total seconds = 30 + 90 + 150 = 270
Average wing beats per second = Total wing beats / Total seconds = 3,780 / 270 = 14
Now that we know the average number of wing beats per second is 14, we can calculate the total number of wing beats in 2 minutes (120 seconds) by multiplying the average by the number of seconds:
Total wing beats in 2 minutes = Average wing beats per second * Total seconds = 14 * 120 = 1,680
Therefore, a mockingbird will beat its wings approximately 1,680 times in 2 minutes.
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i am not understanding slope intercept form, if someone could explain it as well as graph and answer the question that would be great!
Answer:
Step-by-step explanation:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
Slope Intercept form: y = mx + b
Step-by-step explanation:
mx: the slope
b: y- intercept
To find the slope, use this formula:
y₂ - y₁ / x₂ - x₁
Add in the numbers
1 - (-5) / 0 - 2
-6/2 (or -3) = slope
Use point-slope form to find the Y- intercept
y - y₁ = m (x - x₁)
y - (-5) = -3 (x - 2)
y + 5 = -3x + 6
Subtract 5 from both sides
y = -3x + 1 ← Slope intercept form
Graph the y- intercept at 1, and go down 3 and to the right 1. Your two coordinates will be (0 , 1) and (1, -2) .
Score on last try: 0.4 of 1 pts. See Details for more. You can retry this question below jecond Derivative Test 1. Find the first derivative of the function g(x)=6x 3
+36x 2
−90x. g ′
(x)= 2. Find the second derivative of the function. g ′′
(x)= 3. Evaluate g ′′
(−5) g ′′
(−5)= 4. Is the graph of g(x) concave up or concave down at x=−5 ? At x=−5 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at x=−5 ? At x=−5 there is a local
The first derivative of the function \(g(x) = 6x^3 + 36x^2 - 90x\) is \(g'(x) = 18x^2 + 72x - 90\). The second derivative of the function is g''(x) = 36x + 72. Evaluating g''(-5), we have g''(-5) = 36(-5) + 72 = -180 + 72 = -108. The graph of g(x) is concave down at x = -5. At x = -5, the graph of g(x) has a local maximum.
To find the first derivative of the function \(g(x) = 6x^3 + 36x^2 - 90x\), we differentiate each term separately using the power rule. The derivative of \(6x^3\) is \(18x^2\), the derivative of \(36x^2\) is 72x, and the derivative of -90x is -90. Combining these derivatives, we get \(g'(x) = 18x^2 + 72x - 90.\)
To find the second derivative, we differentiate g'(x) with respect to x. The derivative of 18x^2 is 36x, and the derivative of 72x is 72. Thus, the second derivative is g''(x) = 36x + 72.
Evaluating g''(-5) means substituting -5 into the expression for g''(x). We get:
g''(-5) = 36(-5) + 72
= -180 + 72
= -108.
The concavity of the graph of g(x) can be determined by the sign of the second derivative. If g''(x) > 0, the graph is concave up, and if g''(x) < 0, the graph is concave down. Since g''(-5) = -108, which is negative, we conclude that the graph is concave down at x = -5.
At a point where the concavity changes, there is either a local minimum or a local maximum. In this case, since the graph is concave down at x = -5, it has a local maximum at that point.
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Which of the following functions is graphed below?
15
o
10
5
a
-8
-6
-4
-20
2
4
6
8
-5
ſx? +6,x 53
O A. y =
1-x+6,X> 3
B. y =
Sx? +6.x > 3
1-x+6, XS 3
O C. y-{*#6. x3
ſx? +6,x2 3
D. y =
= {-x+6, x<3
Answer:
It's B
Step-by-step explanation:
Functions can be represented by tables and equations
The function represented by the table is f(x) = x + 1
From the table, we have the following ordered pairs
(x,y) = (-1,0) (0,1) (1,2) and (2,3)
Notice that the difference between the x and y values is 1.
So, we have:
y - x = 1
Add 1 to both sides
y = x + 1
Express as a function
f(x) = x + 1
Hence, the function represented by the table is f(x) = x + 1
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Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walters drove 480 miles on 32 gallons of gas.
b. Find the mileage per gallon for Mr. Walters's car.
Please explain how you got this answer
Answer:
Mr.Walters car can go 15 miles on one gallon of gas.
Step-by-step explanation:
To find this, you first want to put it into a ratio.
480:32
Next, you want to divide.
480/32
After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.
Answer:
15 miles
Step-by-step explanation:
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.
Answer: \(\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}\)
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
\(9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}\)
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
\(10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}\)
Note: 12² + opposite² = 20² → opposite = 16
\(11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}\)
Note: adjacent² + 5² = 6² → adjacent = √11
\(12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}\)
Note: adjacent² + 7² = (13√2)² → adjacent = 17
What is the slope of the line that passes through the given points?
(2,12) and (6,11)
Answer:
m= - 1/4
Step-by-step explanation:
Please help its due today WILL GIVE BRAINLIEST :)
Lillian has a rectangular garden with an area of 3x² - 10x - 8 square feet. Find the expressions that would represent the length and width of the garden. Make sure you show all your work for full credit.
38 Mr. Liu buys 3 pizzas for a family dinner. He cuts each pizza into eighths.
How many pieces of pizza does Mr. Liu have for the family dinner?
(This is 5th grade)
Answer:
24 slices
Step-by-step explanation:
There are 3 whole pizzas. He cuts each of them into eighths. That means eight slices. 3 times 8 is 24. There are a total of 24 slices. This can also look like this: 24/8 or 24 over 8. Which also equals to 3.
random variables x and y have the joint cdf fx,y (x, y) = (1 − e−x )(1 − e−y ) x ≥ 0; y ≥ 0, 0 otherwise
The marginal CDF for y is Fᵧ(y) =\(y + e^{(-y) }- 1\), for y ≥ 0
How to find the marginal CDF?The given joint cumulative distribution function (CDF) for random variables x and y is:
Fₓ,ᵧ(x, y) = \((1 - e^{(-x)})(1 - e^{(-y)})\), for x ≥ 0 and y ≥ 0
= 0, otherwise.
From the joint CDF, we can determine the marginal CDFs for x and y by integrating the joint CDF with respect to the respective variable.
Marginal CDF for x:
Fₓ(x) = ∫[0,x] ∫[0,∞] fₓ,ᵧ(u, v) dv du
Since fₓ,ᵧ(u, v) is zero outside the domain x ≥ 0 and y ≥ 0, we can simplify the integration limits:
Fₓ(x) =\(\int _{[0,x]} \int _{[0,\infty]}\) \((1 - e^{(-u)})(1 - e^{(-v)})\) dv du
= ∫\([0,x] [1 - e^{(-u)}]\) du
= \([u + e^(-u)]\)|[0,x]
= \(x + e^{(-x)} - 1\), for x ≥ 0
Therefore, the marginal CDF for x is given by:
\(Fₓ(x) = x + e{(-x)} - 1\), for x ≥ 0
Marginal CDF for y:
Fᵧ(y) = ∫[0,∞] ∫[0,y] fₓ,ᵧ(u, v) du dv
Using similar reasoning as above, we can simplify the integration limits:
Fᵧ(y) = \(\int _{[0,\infty]} \int_{[0,y]}\)(1 - \(e^{(-u)}\))(1 - \(e^{(-v)}\)) du dv
= \(\int_{[0,y]}\) [1 -\(e^{(-v)}\)] dv
= [v +\(e^{(-v)}\)]|[0,y]
= y + \(e^(-y)\) - 1, for y ≥ 0
Therefore, the marginal CDF for y is given by:
Fᵧ(y) =\(y + e^{(-y)} - 1\), for y ≥ 0
These are the marginal CDFs for the random variables x and y based on the given joint CDF.
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anova is to be used in a research study using two therapy groups. for each group, scores will be taken before the therapy, right after the therapy, and one year after the therapy. how many different sample means will there be? a. two b. three c. five d. six
If Anova is used in a research study using two therapy groups , then there will be 6 different sample means , the correct option is (d) .
In the question ,
it is given that ,
Anova is used in a research study using two therapy groups ,
for each group , scores will be taken
(i) before the therapy,
(ii) right after the therapy, and (iii) one year after the therapy.
that means ,
the number of therapies group = 2 and
the number of times the measurement is taken is = 3 .
So , the number of sample means is = 2 × 3 = 6 .
Therefore , there will be 6 different sample means .
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What percent of one hour is 25 minutes?
Answer:
41.667% or 42%
Step-by-step explanation:
25/60
simplify
5/12 = 41.667
line m
с
D
E
T
Select all the statements that apply to this figure.
A mis perpendicular through P to T.
B C, D, E, and F are coplanar in T.
CD, P, and F are collinear.
D FC is longer than DF.
E DE and PF are coplanar in T.
Help asap please
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The fraction of a mile that Evan has to hike and the fraction he has hiked, gives the completed statement as follows;
\(\frac{5}{6}\) is closest to 1 and \(\frac{2}{5}\) is closest to \(\frac{1}{2}\). So the difference is closest to \(\frac{1}{2}\)
What is a fraction in mathematics?A fraction is a representation of the part of a whole of an item or collection of items. The distance Evan's hiking trail of \(\frac{5}{6}\) miles is a fraction of a mile.
The length of the trail = \(\frac{5}{6}\) mile
The distance Evan has hiked = \(\frac{2}{5}\) mile
The distance Evan has left to hike is given by the difference between the length of the trail and the distance Evan has hiked as follows;
Distance remaining = \(\frac{5}{6} -\frac{2}{5} = \frac{13}{30}\)
Representing the numbers in decimal form, we have;
\(\dfrac{5}{6} = 0.8\overline 3\)
The value of \(\frac{5}{6}\) is close to 1
\(\dfrac{2}{5} = 0.4\)
The value of \(\frac{2}{5}\) is closest to 0.5
\(\dfrac{13}{30} = 0.4\overline 3\)
The difference between \(\frac{5}{6}\) and \(\frac{2}{5}\), which is \(\frac{13}{30}\) is therefore closest to \(\frac{1}{2}\)
The completed statement is therefore;
\(\frac{5}{6}\) is closest to 1 and \(\frac{2}{5}\) is closest to \(\frac{1}{2}\) so the difference is closest to \(\frac{1}{2}\)
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Please help!!! WILL MARK U THE BRAINLIEST OR WHATEVER ITS CALLED
Answer:
584
Step-by-step explanation:
Hope this helps
You just purchased a share of SPCC for $97. You expect to receive a dividend of $7 in one year. If you expect the price after the dividend is paid to be $112, what total return will you have earned over the year? What was your dividend yield? Your capital gain rate?
The total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.
The price of a stock is equal to the current dividend plus the present value of all future dividends plus the price in one year. As a result, the share price of SPCC after a year will be:$112 = $7 + $105 + PV$PV = $0
Using the formula of the total return of an asset, which is equal to its capital gain plus dividend yield, we have;Total Return = Capital Gain + Dividend YieldCapital Gain = (Ending Price - Initial Price) / Initial PriceCapital Gain = ($112 - $97) / $97 = 0.1546 or 15.46%Dividend Yield = Annual Dividend per Share / Initial PriceDividend Yield = $7 / $97 = 0.0721 or 7.21%
Therefore, the total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.
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The table displays the relationship between the number of downloaded songs, s, and the total cost, t, what are some other possible domain values?
The other possible domain values are integers greater than 0 and the type of domain would not be reasonable are decimal numbers and numbers less than 0
What are some other possible domain values?The table of values is given as:
Number of songs Total cost
0 5.68
5 8,64
10 14.50
Remove the total cost from the above table
Number of songs
0
5
10
From the above column, we can see that the number of songs is at least 0 and they are integers
This represents the domain
So, the other possible domain values are integers greater than 0
What type of domain would not be reasonableIn (a), we have:
The number of songs is at least 0 and they are integers
So, the type of domain would not be reasonable are decimal numbers and numbers less than 0
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Six friends each use a $2-off coupons to buy themselves a movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?
The price of one movie ticket without the coupon is $9.
arithmetic operations
Arithmetic operators are used to perform mathematical operations like addition, subtraction, multiplication and division.
...
There are 7 arithmetic operators in Python :
Addition.
Subtraction.
Multiplication.
Division.
Modulus.
Exponentiation.
Floor division.
since they spend a total of $42.
so the price of one movie ticket without the coupon is
⇒ (42+12)/6
⇒54/6
⇒ 9
so the price of one movie ticket will be $9.
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Assume there is a sample of n
1
=4, with the sample mean
X
1
=35 and a sample standard deviation of S
1
=4, and there is an independent sample of n
2
=5 from another population with a sample mean of
X
ˉ
2
=31 and a sample standard deviation S
2
=5. In performing the pooled-variance t test, how many degrees of freedom are there? There are degrees of freedom. (Simplify your answer.)
There are 7 degrees of freedom.
In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)
Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7
Therefore, there are 7 degrees of freedom.
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There are 7 degrees of freedom for the pooled-variance t-test.
To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:
\(\[\text{{df}} = n_1 + n_2 - 2\]\)
where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.
In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:
\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)
In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.
To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.
In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.
Therefore, there are 7 degrees of freedom for the pooled-variance t-test.
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Select all of the x values that are within the solution set of: -5x - 3>-23
0
2
4
6
8
Answer:
hi
Step-by-step explanation:
hi
hi
hi
Answer:
the question is 4.
Step-by-step explanation:
I just did it on a piece of paper
Which of the following is equivalent to 4x – 3y = 15?
Answer:
A
Step-by-step explanation:
!!!HELP ME!!! I WILL GIVE YOU BRAINLIEST
Question; a = 2, b = -4, c = 7, and d = -3
Evaluate b – a(cd + b) + a
Step-by-step explanation:
a=2,b=-4,c=7,d=-3
b-a(cd+b)+a=-4-2(7×-3)+2
=-6(-21)+2
=126+2
=128
Keep smiling and hope u are satisfied with my answer.Have a nice day:)
Answer: 48
Given:
a = 2
b = -4
c = 7
d = -3
Now
b - a(cd + b) + a
-4 -2(7(-3) + (-4)) + 2
-4 -2(-21-4) + 2
-2 -2(-25)
-2+50
48
Must click thanks and mark brainliest
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%
Answer:
20%
Step-by-step explanation:
2-1.6=0.4
0.4/2x 100
40/200=1/5 or 20%
can someone help me answer this pls?
What i the lope of the line that pae through the point (7, -4)(7,−4) and (11, -4)(11,−4)? Write your anwer in implet form
what is (2/5)^-4 please answer:)
Answer:
My answer got deleted because It contained a site, but The answer is
625/16
As a decimal 39.06
Step-by-step explanation:
Consider the absolute value
Answer:
Step-by-step explanation:
f(x) = - | x + 2 | + 2
The vertex of the function is a max of the function at ( - 2 , 2 )
Point P(3,5) after translation by 6
units right and 2 units down.
Simplify.
4-3 49 = 4[?]
●
Answer:
\(\boxed{\sf 4^{-3}*4^9 = \bf 4^6}\)Step-by-step explanation:
\(\sf 4^{-3}*4^9= 4^?\)
- When multiplying like bases, we keep the base the same and add the exponents.
- When raising a base with a power to another power, keep the base the same and multiply the exponents.
- When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.*
- - - - - - - - - - - - - - - - - - - - - - - - - - -
In our example: \(\sf 4^{-3}*4^9= 4^?\) the bases are multiplied therefore, we add the exponents together and keep the bases the same.
\(\sf 4^{-3}*4^9= 4^?\)\(\sf 4^{-3 + 9 }\)\(\sf =4^6\)→ \(\sf 4^{-3}*4^9 = 4^{\bf 6}\)
- - - - - - - - - - - - - - - - - - - - - - - - - - -
Hope this helps! :)
A 48 year old father has a 14 year old daughter. In how many years will the Fathers age be twice the daughters age?
Answer:
When the father is 68 and the daughter is 34
Step-by-step explanation:
i kept increasing their age by one and dividing till the quotient was 2, (its a long process but easier to understand) and i got two when I divided 68 by 34.
A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of 54 square feet. If x represents the length, then the length can be found by solving the equation:x(x-3)=54 What is the length, x, of the garden? The length is blank feet.
Answer:
9
Step-by-step explanation:
What you do if first you draw your rectangle. You name length as x (as told in the question) and width as x-3 (since the width is 3 feet less). To obtain the area you have to do x × (x-3) because to find area you do length × width right.
So area is x(x-3) and it also tells you that area is 54 there
That's how you get x(x-3)=54
Now to solve it, you have to expand
x(x-3)=54
x²-3x-54 = 0 (you have to factorise this now)
(x+6) or (x-9) = 0
x = -6 or x = 9
As you can see you have two answers there. We have to eliminate the -6 because length can never be negative. The logic is simple, any length you take for example on a ruler (it has to be 0 or above) you can measure 1 feet, 2 feet, even 100 feet but you can't measure less than 0 right?
So the final answer is that x=9 and x represents the length
So length = 9