The graph below shows graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the correct statement?
A is f ', B is f, C is f ".
A is f ", B is f, C is f '.
A is f ', B is f ". C is f.
A is f, B is f ', C is f ".
I believe B is the original, C the first derivative, and A is the second derivative. Can someone please confirm this for me? Thank you!
Answers
Answer:
A is f ", B is f, C is f '.
Step-by-step explanation:
Your answer is correct. B is the original function f. It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative. It crosses the x-axis at each place where B is a min or max. C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
The solution is::
A is f ", B is f, C is f '.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
we get,
B is the original function f.
It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative.
It crosses the x-axis at each place where B is a min or max.
C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
Hence, The solution is::
A is f ", B is f, C is f '.
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Related Questions
Find the radius!
Surface Area = 1,139.82 yd?
radius =
13 yd
O
12 yd
O 11yd
O
10 yd
Answers
Answer:
10
Step-by-step explanation:
A=4πr^2
r=√(A/4π)
r=√(1139.82/4π)
r=9.5=10 yd
Answer:
11 yd
Step-by-step explanation:
SA = 3[tex]\pi[/tex]r²
1139.82 = 3 × 22/7 × r²
r² = 1139.82/66 × 7
r² = 120.81
r = 10.99 = 11 yd
Find the midpoint of A and B where A has coordinates (2,4) and B has coordinates (-3,-9)
Answers
(-1/2,-5/2)
PLEASE HELP ASAP!!! 2. Calculate the volume of this solid using the formula V=Bh (all angles are 90 degrees).
Answers
Answer:
V = 27/64 cubic inches
Step-by-step explanation:
Given the information in the photo:
The height: 3/4 inThe length : 3/4 inThe width : 3/4 inThe volume of this solid using the formula
V=Bh where:
h is the height B is the area of the base = The length * The width=> The volume of this solid is:
V = 3/4 * 3/4 * 3/4
<=> V = 27/64 cubic inches
Hope it will find you well
Geometry Question Help please
Answers
Ans
It 1750
Step-by-step explanation:
You have to multiple
A cylindrical feed silo has a diameter of 45 feet and a height of 30 feet. What is the volume of the largest sphere that will it into the game
A) 10677.9 Ft^ 3
B) 14,237.2 Ft^3
C) 42,711.6 Ft^3
D) 47,712 Ft^3
Answers
Answer:
The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³
Step-by-step explanation:
Since the sphere must feet inside the silo it's diameter must be at most 30 feet, therefore it's radius is 15 feet. To calculate the volume of the sphere we can use the appropriate formula:
Volume = (4/3)*pi*r³
Volume = (4/3)*3.14*(15)³
Volume = 14137.2 ft³
The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³. The nearest option would be B.
Final answer:
The volume of the largest sphere that can fit into the cylindrical feed silo is calculated using the formula for the volume of a sphere, resulting in 47,712 ft³, which corresponds to option D.
Explanation:
The question asks for the volume of the largest sphere that can fit into a cylindrical feed silo with a diameter of 45 feet and a height of 30 feet. To find the volume of the sphere, we need to consider the diameter of the cylinder because the diameter of the silo will be the same as the diameter of the sphere that can fit inside it. Hence, the radius of the sphere (and cylinder) is half of the diameter, which is 22.5 feet. The formula for the volume of a sphere is V = (4/3)πr³. Substituting the radius into the formula gives us V = (4/3)π(22.5)³ = 47,712 ft³.
To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. by using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. y = negative 14. Amos’s solution is (2, –14). What did he do wrong? He multiplied the equation 6 x + y = negative 2. by –5 incorrectly. He added the equations 8 x + 5 y = 18 and 8 x + 5 y = 18 incorrectly. He substituted 2 into the equation 6 x + y = negative 2. incorrectly. He solved the equation 12 + y = negative 2 for y incorrectly.
Answers
Answer:
(A)He multiplied the equation[tex]6x+ y = - 2[/tex] by –5 incorrectly.
Step-by-step explanation:
To solve the system of linear equations:
8 x + 5 y = 186 x + y = -2.Part of Amos' calculations is shown:
8 x + 5 y = 18.
6 x -5 y = 10.
When you multiply 6x+y =-2 by -5, we have the expression:
-30y-5y=10.This was not Amos' result as he got 6 x -5 y = 10.
Therefore, he multiplied the equation[tex]6x+ y = - 2[/tex] by –5 incorrectly.
The correct option is A.
Persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not. Make sure to state reasons for or against your belief.
Answers
Answer:
Yes!
Step-by-step explanation:
In Pythagorean Triples, the two legs always have to add up to be a greater number than the hypotenuse. In this case, 12 and 16 are the legs and 20 is the hypotenuse. The sum of 12 and 16 is 28. That is more than 20, so 12, 16 and 20 make a right triangle. I hope this helps you!
Final answer:
The numbers 12, 16, and 20 satisfy the Pythagorean Theorem, confirming that they indeed form a right triangle, as the sum of the squares of 12 and 16 is equal to the square of 20.
Explanation:
To persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not, we need to use the Pythagorean Theorem, which is a fundamental principle in Euclidean plane geometry that applies to right triangles. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as c² = a² + b², where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
For the given numbers 12, 16, and 20, we need to determine if 20² equals 12² + 16²:
12² = 144
16² = 256
20² = 400
Now, add the squares of the lengths of the two smaller sides:
144 + 256 = 400
Indeed, the sum of the squares of 12 and 16 equals the square of 20, which confirms that these side lengths do form a right triangle according to the Pythagorean Theorem. Thus, the numbers 12, 16, and 20 do in fact make a right triangle.
Find the value of x below
Answers
Answer:
x=58 degrees
Step-by-step explanation:
The angle DB is equal to 90 degrees, so if you subtract 32 from 90 you get x, which is 58.
what is the domain of the exponential function y=6^x
Answers
Answer:
it is (all real numbers) or R
Step-by-step explanation:
Using function concepts, it is found that the domain of the exponential function is composed by all real numbers.
The domain of a function is the data-set that contains all possible input values.The exponential function does not have an impediment such as a even root or a denominator by itself, so, it's domain is composed by all real numbers.In the graph sketched at the end of this answer, it can be seen that the function is defined for all values of x, which also indicates the domain is composed by all real numbers.
A similar problem is given at https://brainly.com/question/4175434
Which statements about the ellipse are true? Check all that apply.
The center is located at (2, –1).
The major axis is 8 units long.
The minor axis is 3 units long.
The vertices are 4 units above and below the center.
The foci are √ 7 units above and below the center.
The foci are located along a horizontal line.
Answers
Answer:
1,2,4,5
Step-by-step explanation:
Answer:
1, 2, 4, and 5
Step-by-step explanation:
just did the work
Park Street, Scott Street, and Oak Street form a triangle. If the angle formed by Oak Street and Park Street is 62° and the angle formed by Park Street and Scott Street is 58°, which lists the sides of the triangle from least to greatest?
Answers
Answer:
oak,park,scott
Scott > Park > Oak this will be the required arrangement.
What is triangle?A triangle is a three-sided polygon that closes in a space. It uses lines, line segments or rays to form the three sides. When three sides form and meet, they create three vertices, or corners.
A triangle is a closed polygon with three angles and sides.
The corners inside the triangle are interior angles. The corners outside the triangle are exterior angles.
The sum of the three angles of a triangle is 180°.
Given that the three streets Park Street, Scott Street, and Oak Street form a triangle.
Making angles = Oak Street and Park Street is 62° and the angle formed by Park Street and Scott Street is 58°,
We need to list the sides of the triangle from least to greatest,
Now the third angle = 180°-(58°+62°)
= 180°-120
= 60°
So, we know that in a triangle the greatest angle is opposite to the largest side and the smallest angle is opposite to the shortest side,
So, according to property we can say,
Scott > Park > Oak this will be the required arrangement.
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If you help me get this right i will mark u as most brilliance!
Answers
Answer:
f(0) = -2
f(4) = -14
f(-1) = 1
Step-by-step explanation:
f(x) = -3x-2
f(0) means let x=0
f(0) = -3(0) -2
= 0-2
= -2
f(4) means let x =4
f(4) = -3(4) -2
= -12 -2
= -14
f(-1) means let x =-1
f(-1) = -3(-1) -2
= 3 -2
= 1
Answer:
f(0) = -2
f(4) = -14
f(-1) = 1
Step-by-step explanation:
To find each answer, you substitute the number in the parentheses for x.
-3(-0) - 2 = -2
-3(4) - 2 = -14
-3(-1) - 2 = 1
What is the domain of this function?
Answers
the domain is your x coordinates or for this problem 1 2 3 4
a science club has 25 members 40% are girls. how many girls are in science club
Answers
Answer:
10 members are girls.
Step-by-step explanation:
Turn 40% into a decimal: 0.40
If you read 40% of 25, of means to multiply so you multiply
0.40 x 25
and you get 10. so
10 members of the 25 are girls.
Hope that helped :))
The science club has 10 girls.
The question is asking us to calculate the number of girls in a science club where 40% of the members are girls. Since the science club has a total of 25 members, we would find 40% of 25 to determine the number of girls. To find 40% of a number, you multiply the number by the percentage expressed as a decimal. In this case, 40% is the same as 0.40.
So the calculation would be:
25 members x 0.40 = 10 girls
Therefore, there are 10 girls in the science club.
What is the area of the right triangle
Answers
Answer:
3.75
Step-by-step explanation:
2.5*1.5=3.75
What’s the solution to #3
Answers
Answer:
6.687898089 = r
Step-by-step explanation:
#3 Circumference is given by
C = 2 * pi *r
We know the circumference is 42
42 = 2 * pi *r
Divide each side by 2 pi
42/2pi = 2pir/ 2pi
21/pi = r
Approximating pi by 3.14
21/3.14 = r
6.687898089 = r
Cannot read in the instructions what to round to
Answer:
The answer is 6.68451
Step-by-step explanation:
Which improper fraction shows the value of the shaded portion of the image?
Five-fourths
StartFraction 39 over 5 EndFraction
StartFraction 37 over 5 EndFraction
StartFraction 39 over 8 EndFraction
Answers
Answer:
i dont know
Step-by-step explanation:
Answer:
I believe it is 39/8
and I got it right on edge 2020
What is the value of p in the equation of 2(3p -4) = 10
Answers
Answer:
p=3
Step-by-step explanation:
2(3p -4) = 10
6p-8=10 (distribute the 2)
6p=18 (add 8 to both sides)
p=3 (divide 3 from both sides)
Answer:
p = 3
Step-by-step explanation:
2 • (3p - 4) - 10 = 0
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
P(C | D) = 0.78
P(D | C) = 0.44
P(C ∩ D) = 0.11
P(C ∩ D) = P(D ∩ C)
P(C | D) = P(D | C)
Answers
Answer:
B C D
Step-by-step explanation:
ED 2020
Answer:
B: P(D | C) = 0.44
C: P(C ∩ D) = 0.11
D: P(C ∩ D) = P(D ∩ C)
next is C: 2/9
then C: P(Y | X) = P(Y)
and F: P(X | Y) = P(X)
next is
10/26
5/14
not independent
Step-by-step explanation:
edg2021
Can someone help me ASAP!!!
Answers
Answer:
Slope= -7
Step-by-step explanation:
I like to use the rise/run method.
Take the point at (1,-2) and count up to (1, 7). Then because it is going left, you count your run over 3 points. Or you could do.
[tex]\frac{y2-y1}{x2-x1} = slope[/tex]
Answer:
-The slope of the following graph:
[tex]m = 3[/tex] or [tex]m = -3[/tex]
Step-by-step explanation:
-To find the slope you need this:
[tex]m = \frac{rise}{run}[/tex]
-So, according to graph the it shows that there are two point (1,-2) and (-2,7). To start from the first point to the second point, you need to count how far up or down (vertical) and how left or right (horizontal):
Rise: 9
Run: 3
or
Rise: 9
Run: -3
After you have the rise and the run, you need to solve the equation in order to get the slope:
[tex]m = \frac{9}{3}[/tex] or [tex]m =\frac{9}{-3}[/tex]
[tex]m = 3[/tex] or [tex]m = -3[/tex]
So, therefore the slope of the following graph is [tex]m = 3[/tex] or [tex]m = -3[/tex].
A 2 m surfer is standing 12 m away from the lifeguard station. He wants to go to the Burger Shack for lunch. The Burger Shack is 14 m tall. How far away is it from the lifeguard station?
Answers
Answer:
72 meters
Step-by-step explanation:
If we take into account the relationship between the data of the problem, we have a relationship between heights and distances.
Between the height would be between the surfer and burger shack, and the known distance of 12 between the surfer and the lifeguard station.
we have the following relationship
2/14 = 12 / x
x = 14 * 12/2
x = 84
but this would be the distance between the surfer and burger shack, the distance we need would be:
84 - 12 = 72
it means that between burger shack and the lifeguard station there are 72 meters
Which formula is used to calculate the standard deviation of sample data?
Answers
Answer:
step by step explanation:
Calculate the mean (simple of the numbers).
For each number: subtract the mean. Square the result. Add all of the squared results.
Divide the sum by one less than the number of data points (N-1). This gives you the sample variance.
Finally, take the square root of this value to obtain the simple standard deviation.
Answer: A
Step-by-step explanation:
A on edge 2022
What is the total number of outcomes for choosing a number from 1 to 10 in a day of the week use the fundamental counting principle
Answers
Answer:
Total number of outcomes in a week = 70
Step-by-step explanation:
Given:
Total number of outcomes = 10
Outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Number of days in a week = 7
Find:
Total number of outcomes in a week
Computation:
Total number of outcomes in a week = Total number of outcomes in a day × Number of days in a week
Total number of outcomes in a week = 10 × 7
Total number of outcomes in a week = 70
if xy=0, what must be true about either x or y
Answers
Answer:
either x or y must equal 0
Step-by-step explanation:
ts given that xy = 0
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
Hence, the condition which has to be true in all cases for xy = 0 is:
either x or y must equal 0
Given that xy = 0.
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied by any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
How can we say an expression is zero?A rational expression is zero when the numerator is zero. To find the values that make a rational expression zero, we set the numerator equal to zero and solve the resulting equation.
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Which are the same as 26?
Choose all answers that apply
A 10+10+10+10+10+10+1+1
B 10+10+6
C 20+60
D 10+10+1+1+1+1+1+1
Answers
Answer:
B and D
Step-by-step explanation:
Mais teacher gives 4 quizzes each worth 5 points after three quizzes she has the score 4, 3, and 4. What does she need to get on her last quiz to have a mean score of 4
Answers
Answer:
5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
Step-by-step explanation:
Mean is the average of a set of data, it is the sum of the data divided by the number of data.
To have a mean of 4 from 4 quizzes;
Let x represent the total;
mean = x/4
4 = x/4
x = 4 × 4 = 16
To have a mean of 4 he must have a total score of 16.
Let y represent her score in the last quiz;
16 = 4+3+4+y
16 = 11+y
y = 16-11 = 5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
The teacher needs to get a score of 5 on her last quiz to have a mean score of 4.
To find out what score the teacher needs on the last quiz to have a mean score of 4, we can use the formula for mean (average):
Mean = (Sum of all scores) / Number of quizzes
Given:
- The teacher has taken 3 quizzes with scores of 4, 3, and 4.
- The mean score she wants is 4.
- Each quiz is worth 5 points.
Let x be the score she needs on the last quiz.
Sum of all scores = 4 + 3 + 4 + x = 11 + x
Number of quizzes = 4 (as she takes 4 quizzes in total)
Now, we can set up the equation and solve for x:
Mean = (Sum of all scores) / Number of quizzes
4 = (11 + x) / 4
4 * 4 = 11 + x
16 = 11 + x
x = 16 - 11
x = 5
Therefore, the teacher needs to get a score of 5 on her last quiz to have a mean score of 4.
Simplify: 64r^8
8r^2
8r^4
32r^2
32r^4
Answers
Answer:
8r^4
explanation:
What is 7-5 pls help
Answers
Answer: The answer is 2 :)
Step-by-step explanation:
Answer:
778
Step-by-step explanation:
What is the area of the shaded region?
21 m
23 m
10 m
34 m
Answers
Answer:
572
Step-by-step explanation:
Answer:
572 m
Step-by-step explanation:
step 1: find area of big box
23 m x 34 m = 782 m
step 2: find area of small box
21 m x 10 m = 210 m
step 3: subtract small box area from big box area to get shaded region
782 m - 210 m = 572 m
What is the area of the triangle?