The instantaneous rate of change is the change in the concentration of rate that occurs at a particular point of time. The variation in the derivative values at a particular point denotes the instantaneous rate of change. The instantaneous rate of change at a point is the value of derivative function evaluated at that point.
P(x) = −0.03x^2 + 225x − 24000
To find the instantaneous rate of change we need to differentiate the equation with respect to x
P'(x) = -0.06x +225
at x =0
P'(0)= 225
now put x = 1000 because we need to know instantaneous rate of change of the profit at x = 1000 iPhones sold
P'(1000) = -0.06(1000) + 225
= -60 + 225
= 165
Hence, the instantaneous rate of change of the profit at x = 1000 iPhones sold is 165
This means that the increase in sales also increase the profit but at a decreasing rate or the marginal profit of iPhones increases with decreasing rates
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300 female Osprey hatch-lings were tracked until they died or succeeded in laying their own eggs. Based on the data, the researchers concluded that somewhere between 12% and 18% of all female Osprey hatch-lings in the US succeed in growing up to lay their own eggs.
a. Inferential Statistics
b. Descriptive Statistics
Based on the fact that the researchers were able to conclude that a range of percentages of the female Osprey hatch-lings in the US succeed in growing up to lay their own eggs, this is Inferential statistics.
What is inferential statistics?In inferential statistics, data is used to be able to reach a conclusion on a phenomenon. This means that data is not just taken and then presented like in the case of descriptive statistics, it is also analyzed and evaluated to reveal patterns.
In this scenario, female Osprey hatch-lings success in growing up and laying their eggs was researched and data was used to make conclusions on the subject so this is inferential statistics.
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Calcula la altura de un cono si el diámetro mide 30 cm y su generatriz 17 cm .
La altura del cono es de 8 centimetros.
¿Como encotrar la altura del cono?Sabemos que para un cono de radio R, altura H, y generatriz G se cumple la relación:
R^2 + H^2 = G^2
Resolviendo para la altura obtenemos:
H = √(G^2 - R^2)
En este caso sabemos que le diámetro es de 30 cm, entonces el radio será de:
R = 30cm/2 = 15cm
Y la generatriz es de 17cm, entonces G = 17cm
Reemplazando eso en la ecuación para la altura obtendremos:
H = √((17cm)^2 - (15cm)^2) = 8cm
Concluimos que la altura del cono es de 8 centimetros.
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Is f(x)=x^3-7 a one to one function
What is .0006 in a percent
Answer:
.06%
Step-by-step explanation:
multiply the number by 100 to get it as a percentage
Answer:
0.0006 = 0.06%
Hope this helps :)
Hope this helps :)Explanation below.
Step-by-step explanation:
To convert a decimal to a percent, move the decimal 2 times to the right.
0.0006 = 0.06%
↑JJ
Given the exponential function f (x) and the logarithmic function g(x), which of the following statements is true?
Exponential function f of x equals negative 4 to the power of x minus 1 that decreases to the right passing through the point 0 comma negative 2 and logarithmic function g of x equals negative log in base 3 of x plus 3 decreasing from left to right passing through the point 1 comma 3
As x→∞, f (x)→∞ and g(x)→0.
As x→∞, f (x)→ –∞ and g(x)→ –∞.
As x→∞, f (x)→2 and g(x)→0.
As x→∞, f (x)→2 and g(x)→∞.
The correct statement regarding the end behavior of the functions is given by:
As x→∞, f (x)→∞ and g(x)→0.
What is the end behavior of a function f(x)?It is given by the limits of f(x) as x goes to infinity.
In this problem, the function f(x), the limits are given as follows:
[tex]\lim_{x \rightarrow -\infty} f(x) = -1[/tex].[tex]\lim_{x \rightarrow \infty} f(x) = -\infty[/tex].For function g(x), the limit is given as follows, as it is not defined for negative values:
[tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex].
Hence the correct statement is:
As x→∞, f (x)→∞ and g(x)→0.
As it considers both positive infinity and negative infinity just as infinity.
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a baseball is tossed up into the air at an initial velocity 16 m/s. The
height of the baseball at time t in seconds is given by h(t) = 16t - 4.9t² (in meters).
Answer: Average velocity = 11.1 m/s
Step-by-step explanation:
Given data,
A baseball is tossed up into the air at an initial velocity = 16 m/s.
The height of the baseball at time t in seconds is given by,
h(t) = 16t - 4.9t² (in meters).
So,
The average velocity is,
To calculate the velocity travelled by the ball, differentiate the function.
dh/dt = 16 - 2(4.9t)
dh/dt = 16 - 9.8t (eq-1)
Let us assume, t = [1,1.5]
Substitute t for 1 in the above Differential function
dh/dt = 16 - 9.8 (1)
But ,
dh/dt = velocity
So, dh/dt = V
V = 16 - 9.8
V = 6.2 m/s
Therefore,
Average velocity = ( U + V ) / 2
Average velocity = (16 + 6.2)/2
Average velocity = 22.2/2
Average velocity = 11.1 m/s
Hence, Average velocity = 11.1 m/s.
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nnnneeeddd hhheeelllppp mmmeee pplleeaasseee.
Answer:
(a) 8
Step-by-step explanation:
You did not provide the example problem shown, so we have to do the division to find the repeated remainder.
RemainderThe attachment shows the repeated remainder is 8, the result of subtracting 72 from 80.
Solve for a. -23 + a - 12
I think what was meant here was -23 + a = -12.
a = 11
To solve for a, let’s subtract -12 from -23:
-23 - (-12) = 11
a = 11
Let's plug 11 in for reassurance:
-23 + 11 = -12
a = 11
10 over h equals 52 over 13. Represent for h.
PLEASE HELP, I'LL GIVE 90 POINTS, I JUST RLLY NEED SOMEONES HELP RN
Answer:
Step-by-step explanation:
Answer:
so you're answer is 30 inches in total because if you add up all the inches and the hours that's tire answer glad if i could help.
If f(x)=9, find f^-1(33)
Answer:
7
Step-by-step explanation:
[tex]f^{-1}(-33)=k \implies f(k)=-33 \\ \\ 9-6k=-33 \\ \\ -6k=-42 \\ \\ k=7[/tex]
Answer:
f^-1(33) = 7
Step-by-step explanation:
As the question is asking for the inverse function we do the following steps:
Change f(x) into y :
y = 9 -6x
Swap x and y :
x = 9-6y
Solve for y :
Subtract 9 from both sides :
x-9 = -6y
Divide both sides by -6 :
(x-9)÷ -6 = y
Change y back into f(x) :
f(x) = (x-9)÷ -6
Now substitute -33 into x :
((-33)-9) ÷ - 6 =
-42 ÷ -6 =
+7
Hope this helped and have a good day
PLEASE HELP ASAP WILL MARK BRAINLIEST !
Write the number in scientific notation.
83,497.6
x 10
Answer: 834,976
Step-by-step explanation:
Our class planned a holiday party for disadvantaged kids. Some of us baked
cookies for the party. On the day of the party, we found we could divide the
cookies into packets of two, three, four, five, or six and have just one cookie
left over in each case. If we divided them into packets of seven, there would
be no cookies left over. What is the least number of cookies the class could
have baked?
Answer:x=1.
Step-by-step explanation:
3x-x+2=4
Give A || B, find each of the indicated angle measures. Given: m<3=63 Find:m<6,m<7
m<6 = 117° based on the same-side-interior angles theorem
m<7 = 63° based on the corresponding angles theorem
What is the Same-Side Interior Angles Theorem?Angles 3 and 6 are same-side interior angles, therefore, based on the same-side-interior angles theorem, their sum equals 180 degrees because they are supplementary to each other.
Thus:
m<3 + m<6 = 180
Substitute
63 + m<6 = 180
m<6 = 180 - 63
m<6 = 117°
m<7 = m<3 [corresponding angles theorem]
m<7 = 63°
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Can anyone explain this?
Answer:
0.250
Step-by-step explanation:
Given from the question, we know that the summation (adding all values together) of all P(x) values is equal to 1.
And, we do know that P(2) = P(4).
This means , we will subtract all the known P(x) values from 1 to get the value of P(2) + P(4).
P(2) + P(4) = 1 - 0.0425 - 0.3750 - 0.0625 - 0.0200 = 0.500
Since P(2) = P(4), we divide 0.500 by 2 to get the value of P(2) and P(4).
P(2) = P(4) = 0.500 ÷ 2 = 0.250
It is estimated that the value of a new car is reduced 30% after one year of ownership. Find the value after one year of a car that cost $23,800 new.
Answer:
The answer would be $16,660.
Step-by-step explanation:
The car would cost $16,660 after one year.
f a parabola does not cross the x-axis, what is true about the number of solutions of the quadratic function? There are two solutions. There are no real number solutions. There is one solution. There are an infinite number of solutions
In this case we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.
What is true about the solutions of the quadratic equation?For a quadratic function (also called a parabola)
y = a*x^2 + b*x + c
the solutions of the quadratic equation are the values of x such that:
a*x^2 + b*x + c = 0
Now, remember that the values with y = 0 are called the x-intercepts, then the solutions of the above equation are x-intercepts.
And here we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.
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a number between 10 and 100 there are 5 base ten blocks and the tens is greater than the number of ones blocks one of the digits is 4
Please explain how to find answer so i can teach my child. Thought it was 54 but that is incorrect
The number between 10 and 100 which has 5 base ten blocks and one of the digits is 4 will be 41.
Let the two digits be x and y
There are 5 base ten blocks therefore the sum of the numbers will be 5
i.e. x + y = 5 ..eq-1
One of the digit is 4
So, let the value of x = 4
Putting the value of x in eq-1
4 + y = 5
y = 5 - 4
y = 1
Since tens placed number block is a greater than the ones block,
y > x
4 > 1
therefore 4 will be at tens place and 1 will be kept at ones place and number so formed will be 41.
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1. Find the domain and range of the function shown in the table.
X
y
-2
6
-1
5.5
0
4
3.5
0
4
-1
5.5
-1
8
-3.5
Answer:
The domain of this function is (in order of least to greatest) is [-2,-1,0,3.5,4,5.5, and 8]
The range of this function is (in order from greatest to least) is [6,5.5,4,0,-1, and -3.5]
Step-by-step explanation:
To find the domain you need to look at all of you input or x values so the question is asking to name the values of x for your domain. You look at the table to where x is and name the numbers listed in this case it's [-2,-1,0,3.5,4,5.5, and 7]
To find the range you need to look at the listed outputs or y values. You are essentially doing the same steps but instead you looking at y for the listed values. Generally when it comes to domains that have the same range (for example (4,-1) and (5.5,-1)) you would only write it once in the list of ranges so like [6,5.5,4,0,-1, and -3.5]
A connected graph H has a spanning tree with 21
edges.
How many vertices does the spanning tree have? Give your answer as a whole number.
vertices in spanning tree:
——————————————————
How many vertices does H have? Give your answer as a whole number.
vertices in H:
——————————————————
What can one say about the number of edges H has?
A. H has more than 21
edges.
B. H has at least 22
edges.
C. H has less than 22
edges.
D. H has at least 21
edges.
The results for the connected graph H, obtained by using graph theory are;
First part;
There are 22 vertices in the spanning tree
Second part;
There are 22 vertices in H
Third part;
D. H has at least 21 edges
How can graph theory be used to evaluate the given graph?The given parameters are;
H = A connected graph
Number of edges in the spanning tree of H = 21
First part
Required:
The number of vertices in the spanning tree of H
Solution;
In graph theory, a spanning tree is one that contains all the vertices of the graph.
The number of edges in a tree that has n vertices is 'n - 1'
Therefore;
Number of edges = n - 1 = 21
n = 21 + 1 = 22
There are 22 vertices in the spanning tree.Second part;
From the definition of a spanning tree, the number of vertices in H is equal to the number of vertices in the spanning tree which is 22
Third part;
Let m represent the number of edges in H.
Therefore, the number of edges that should be deleted from H to get the spanning tree is 'm - (n - 1)', which gives;
m ≥ n - 1The number of edges in the given spanning tree is n - 1 = 21
Which gives;
m ≥ 21Therefore;
D. H has at least 21 edges
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Evaluate 8+3e when e=2
The value of 8+3e when e=2 will be 14.
How to compute the expression?It should be noted that the equation or expression is given as:
8 + 3e
Therefore, we will put the value of E as 2 int the equation. This will be:
8 + 3e
= 8 + 3(2)
= 8 + 6
= 14
The value is 14.
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Please help me it is algebra and I need it evaluated
Answer:
Step-by-step explanation:
21)Log 64 base 4
64=[tex]4^{X}[/tex]
[tex]4^{3} =4^{X} \\\\The base cancels out\\3= X[/tex]
22)
[tex]Log 16 base 4 = x\\\\16=4^{x} \\4^{2} =4^{x} \\[/tex]
The base will cancel out
2=x
30) Log 1/216 base 6
[tex]\frac{1}{216} = 6^{x} \\\216^{-1} =6^{x} \\6^{(3)(-1)} =6^{x} \\6^{-3} =6^{x}[/tex]
The base will cancel out
x=-3
Stefanie biked a total of 4 miles making 2 trips to school. Which of the following ratios is equivalent to Stefanie's rate?
The ratio that is equivalent to Stefanie's rate is 1 : 2
Which of the following ratios is equivalent to Stefanie's rate?The given parameters are
Distance = 4 miles
Trips = 2
The ratio that is equivalent to Stefanie's rate is represented as
Rate = Trips/Distance
So, we have
Rate = 2 trips /4 miles
Evaluate
Rate = 1/2 trip per mile
Express as raton
Ratio = 1 : 2
Hence, the ratio that is equivalent to Stefanie's rate is 1 : 2
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FIRST PERSON TO ANSWER GETS 50 POINTS HELP ME OUT HERE
The equation has infinite solutions.
The value of x that makes the equation true is: 2. After substitution, we would have: 8 = 8
Another value of x that makes the equation true is: 3. After substitution, we would have: 10 = 10
What are Infinite Solutions of an Equation?If an equation has infinite solutions, it means that any value of the variable in the equation would make the equation true.
Given the equation, 2(x + 2) = 2x + 4, the value of x that makes the equation true is: 2.
Substitute x = 2 into the equation and simplify it would make both sides equal:
2(2 + 2) = 2(2) + 4
8 = 8
Another value of x that makes the equation true is: 3.
Substitute x = 3 into the equation and simplify it would make both sides equal:
2(3 + 2) = 2(3) + 4
10 = 10
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Solve for y.
–4|y| − 1 = –13
i will give brain
Answer:
I believe the answer is y=3,−3
Step-by-step explanation:
Can someone explain this please ? So I think the first part is -8x-4=8x-2 ?
Answer:
-4×(2×1)=8x-2-4
solve in ( )
-4×3=8x-2-4
multiply -4 to 3
-12=8x-2-4
add 2 and 4 to both sides
-6=8x
divide -6 to 8 and you will get the answer
x=-0.75
Answer:
x = -0.25 (or) -1/4
Step-by-step explanation:
Let's solve the problem,
→ -4 × (2 × 1) = 8x - 2 - 4
→ -4 × 2 = 8x - 6
→ -8 = 8x - 6
→ 8x = -8 + 6
→ x = -2/8
→ [ x = -0.25 ]
Thus, solution is -0.25.
55.252 + 2.983 + 16.304 = ?
Answer: 74.539
Step-by-step explanation:
how high is a tree that casts a 32ft shadow at the same time 6ft pole cast a shadow which is 10ft long
Solve the equation for x.
Show work
3.5(x +2) = 17
Answer: x = [tex]\frac{20}{7}[/tex]
(or)
x = 2.86 ( rounded )
Step-by-step explanation:
3.5(x +2) = 17
3.5x + 7 = 17
3.5x = 17 - 7
3.5x = 10
x = 10/3.5
x = [tex]\frac{20}{7}[/tex]
(or)
x = 2.86 ( rounded )
What are the roots of the equation 4x2- 2x-20 =x2 +9x
The roots of the quadratic equation 4x² - 2x - 20 = x² + 9x are x = 5 and
x = - 7/6 respectively.
We have the following equation -
4x² - 2x - 20 = x² + 9x
We have to find its roots.
What is quadratic equation ?A quadratic equation is an algebraic equation of the second degree in x. In the standard form it can be written as ax² + bx + c = 0. In this - a and b are the coefficients of 'x' and 'x²' respectively and c is a constant term.
According to the equation -
4x² - 2x - 20 = x² + 9x
4x² - x² - 2x - 9x - 20 = 0
3x² - 11x - 20 = 0
Using quadratic formula, the roots of the equation will be -
x = (- b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) / 2a
x = (11 ± 19)/6
x = 30/6 and x = -7/6
x = 5 and -7/6
Hence, the roots of the quadratic equation are 5 and -7/6.
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