Answer:
The volume of the ice cream cone is 528.1 cubic centimeters.
Step-by-step explanation:
The formula for finding the volume of a cone is V = \(\pi r^2\frac{h}{3}\).
Substitute values now:
V = \(\pi* 5.8^2*\frac{15}{3}\)
V ≈ 528.1
Sketch the object in R^3 defined by z=x^2 and 0 ≤ y ≤3.
The object in three-dimensional space defined by the equation z = x^2 and the constraint 0 ≤ y ≤ 3 is a parabolic surface that opens upward along the y-axis, bounded between the planes y = 0 and y = 3.
The equation z = x^2 represents a parabolic surface in the x-z plane, with the vertex at the origin. This surface extends infinitely along the x-axis and opens upward. The constraint 0 ≤ y ≤ 3 restricts the object to a specific region in the y-axis direction. This means that the parabolic surface is bounded between the planes y = 0 and y = 3, creating a finite portion of the parabolic surface.
In other words, if we visualize the object, we can imagine a three-dimensional shape that resembles a curved sheet or a bowl. The shape widens as it moves away from the y-axis due to the parabolic nature of the equation. The object is confined to the region between the planes y = 0 and y = 3, which limits the extent of the shape along the y-axis. Within this region, the object exists as a solid surface with a varying height in the z-direction, determined by the x-coordinate squared.
Learn more about coordinates here:
https://brainly.com/question/32836021
#SPJ11
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2 x 2 x 2 x 2 x 3
Prime factorization of 72: 2 x 2 x 2 x 3 x 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3
What is Ryan’s error?
Answer:
there will only be one 3
Step-by-step explanation:
see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .
which of the following are exponential functions? select all correct answers. select all that apply: f(x)
The functions that are exponential are f(x) = 4(1/4)ˣ , g(x) = 14(4)ˣ and k(x) = 6(5.49)ˣ , the options that are correct are (a) , (b) and (e) .
In the question ,
five function are given ,
we need to select the functions that are exponential ,
We know that , Exponential function is a function whose value is a constant raised to power of a variable ,
For Example , f(x) = cˣ, where c is any constant value and x is a variable.
Part(a) ,
f(x) = 4(1/4)ˣ
Since , x is in the exponent , hence it is an exponential function .
Part(b) ,
g(x) = 14(4)ˣ
Since , x is in the exponent , hence it is an exponential function .
Part(c) ,
h(x) = 10x⁵
Since , x is present in the base , hence , it is not an exponential function .
Part(d) ,
j(x) = −9x⁴
Since , x is present in the base , hence ,it is not an exponential function .
Part(e) ,
k(x) = 6(5.49)ˣ
Since , x is in the exponent , hence it is an exponential function .
Therefore , The exponential functions are (a) f(x) = 4(1/4)ˣ , (b) g(x) = 14(4)ˣ and (e) k(x) = 6(5.49)ˣ .
The given question is incomplete , the complete question is
which of the following are exponential functions? select all correct answers.
(a) f(x) = 4(1/4)ˣ
(b) g(x) = 14(4)ˣ
(c) h(x) = 10x⁵
(d) j(x) = −9x⁴
(e) k(x) = 6(5.49)ˣ
Learn more about Exponential Functions here
https://brainly.com/question/15909860
#SPJ4
2
Question 7(Multiple Choice Worth 1 points)
(04.04LC)
Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is
2 units. What are the coordinates of the location of the second stage light?
2
16-14-12-1046
012101
O (8.-10)
O (8,2)
(14,2)
(14.-10)
Answer:
Add 8 to the y value of point p, (4, -2 +8)So the location of the second light is on point (4,6)
Given the diagram below, which pair of
angles are alternate interior angles?
2
43
516
87
A. 23 and 24
B. 23 and 26
C. 24 and 26
D. 22 and 27
Answer:
C
Step-by-step explanation:
The pair of alternate interior angles in the given figure is ∠ 4 and ∠ 6
What are alternate interior angles?Alternate Interior Angles are a pair of angles on the inner side of each of those two lines, but on opposite sides of the transversal.
Given is a figure, we are asked to identify a pair of alternate interior angles,
According to the definition of pair of alternate interior angles, we can identify two pair of alternate interior angles, in the figure,
∠ 4 and ∠ 6
∠ 3 and ∠ 5
Hence, the pair of alternate interior angles in the given figure is ∠ 4 and ∠ 6
For more references on pair of alternate interior angles, click;
https://brainly.com/question/28380652
#SPJ2
!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties for each of these shapes and please be specific for each, a kite, trapezoid, square, rectangle, parallelogram, rhombus?
Answer:
The properties of trapezoid apply by definition (parallel bases).
The legs are congruent by definition.
The lower base angles are congruent.
The upper base angles are congruent.
Any lower base angle is supplementary to any upper base angle.
The diagonals are congruent.The bases are parallel by definition.
Each lower base angle is supplementary to the upper base angle on the same side.
simplify
7 + 2 (4x - 3) = ?
Hilda has $210 worth of $10 and $12 stock shares. the numbers of $10 shares is 5 more than twice the number of $12 shares. how many of each does she have?
If Hilda has $210 worth of $10 and $12 stock shares and the number of $10 shares is 5 more than twice the number of $12 shares, then the number of $10 shares and $12 shares she has is equal to 15 and 5 respectively.
The number of $10 shares and $12 shares can be calculated by forming linear equations.
Consider the number of $10 shares to be x and the number of $12 shares to be y.
x = 2y + 5
10x + 12y = 210
Putting the value x = 2y + 5 in the second equation,
10x + 12y = 210
10 (2y + 5) + 12y = 210
20y + 50 + 12y = 210
32y + 50 = 210
32y = 210 - 50
32y = 160
y = 160 ÷ 32
y = 5
Putting y = 5 in the first equation,
x = 2y + 5
x = 2(5) + 5
x = 10 + 5
x = 15
Hence the number of $10 and $12 shares she has is calculated to be 15 and 5 respectively.
To learn more about linear equations, click here:
https://brainly.com/question/12788590
#SPJ4
Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
If p and q vary directly and p is 30 when q is 6, determine q when p is equal to 9.
Answer:
here is the link the.hh/g49
Step-by-step explanation:
Answer:
q = 45
Step-by-step explanation:
Since q is 30 when p is 6, we divide to find the rate.
30/6=5.
If the rate is 5 we multiply the new p, 9 by five as well.
9*5=45
45 is q ok
Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?
Answer:
f(x)=x^2+3
\(f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1\)
without calculation, find one eigenvalue and two linearly independent eigenvectors of a d 2 4 5 5 5 5 5 5 5 5 5 3 5 . justify your answer.
The eigenvalues of A are λ = 0 (with multiplicity 1) and λ = 5 (with multiplicity 2), and the corresponding eigenvectors are [1, 0, -1], [0, 1, -1], and [1, -1, 1].
The matrix A = [5 5 5; 5 5 5; 5 5 5] is a 3x3 matrix with all entries equal to 5.
First, we can calculate the determinant of A - λI, where I is the identity matrix and λ is an unknown eigenvalue:
A - λI = [5-λ 5 5; 5 5-λ 5; 5 5 5-λ]
det(A - λI) = (5-λ)[(5-λ)(5-λ)-25] - 5[5(5-λ)-25] + 5[5-25]
= (5-λ)(λ^2 - 15λ) = -λ(λ-5)^2
From this equation, we can see that the eigenvalues are λ = 0 and λ = 5 (with multiplicity 2).
To find the eigenvectors, we can substitute each eigenvalue into the equation (A - λI)x = 0 and solve for x.
For λ = 0, we have:
A - 0I = A = [5 5 5; 5 5 5; 5 5 5]
(A - 0I)x = 0x = [0 0 0]
This implies that any vector of the form [a, b, -a-b] is an eigenvector for λ = 0. For example, we can choose [1, 0, -1] and [0, 1, -1] as linearly independent eigenvectors corresponding to λ = 0.
For λ = 5, we have:
A - 5I = [0 5 5; 5 0 5; 5 5 0]
(A - 5I)x = 0
⇒ 5x2 + 5x3 = 0
⇒ 5x1 + 5x3 = 0
⇒ 5x1 + 5x2 = 0
This implies that any vector of the form [1, -1, 1] is an eigenvector for λ = 5. Therefore, we can choose [1, -1, 1] as another linearly independent eigenvector corresponding to λ = 5.
Eigenvectors are a fundamental concept in linear algebra. They are essentially special vectors that remain in the same direction when a linear transformation is applied to them, only changing in magnitude. In other words, an eigenvector of a linear transformation is a vector that when multiplied by the transformation matrix, results in a scalar multiple of itself.
Eigenvectors play a crucial role in diagonalizing matrices, which can simplify calculations involving matrix operations. They are also useful for solving differential equations and understanding the behavior of dynamic systems. In addition, eigenvectors are often used for data analysis, such as in principal component analysis (PCA), which is a technique for reducing the dimensionality of data.
To learn more about Eigenvectors visit here:
brainly.com/question/30968941
#SPJ4
find the x intercept and ordered pair:
2x + 3y = -6
\( \sf2x + 3y = - 6 \\ \sf2x + 3 \times 0 = - 6 \\ \sf2x = - 6 \\ \boxed{ \tt x = - 3}\)
Can someone help me with this math homework please!
Answer:
I'm pretty sure it is 0.75
Step-by-step explanation:
It is a3 so that means it is the 3rd answer in the sequence.
Answer:
The sequence is adding 0.25
What does circle triangle square mean ?
Circle, Triangle, Square are basic shapes that are commonly used in mathematics, art, and design. They are considered the building blocks of more complex shapes and designs.
In mathematics, Circle, Triangle, and Square are often used as examples to teach basic geometric concepts such as perimeter, area, and volume. Students learn how to calculate the properties of these shapes, including the length of their sides and their angles.
In art and design, Circle, Triangle, and Square are used to create compositions and patterns. These shapes can be combined to create more complex designs, and they are often used to create logos and symbols. The shapes also have symbolic meanings and can be used to represent different ideas and concepts.
The value of Circle, Triangle, and Square lies in their versatility and simplicity. They can be used to teach basic geometric concepts and to create complex designs, making them an essential tool for anyone interested in mathematics, art, and design.
to know more about circle triangle square refer here
https://brainly.com/question/22964077#
#SPJ11
If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number? 1 2 6 15
Answer:
2 possible values
Step-by-step explanation:
The given expression is:
\(\sqrt[3]{\frac{144}{y} }\)
In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:
1, 8, 27, 64, 125
The values of y that would result in those numbers are:
\(y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152\)
Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.
Answer:it’s b
Step-by-step explanation:
Just took quiz on edge 2020
Pop is on sale this week. A 12-pack pop is 3.45. What is the most an 18-pack of pop could cost a better deal?
Answer:
3.75
Step-by-step explanation:
just add 5 cent for each extra pop
Identify the y-intercept of the graph. ( look at picture)
Answer:
(0, -1)
Step-by-step explanation:
Wherever the line crosses the y-axis, that is the y-intercept, and where the line crosses the x-axis, that would be the x-intercept.
Combine the like terms to create an equivalent expression:
1−2 b + 4 =1−8 b + 88
The combination of like terms which results in the formation of an equivalent expression is; 14.
What is the equivalent expression by means of combining like terms?It follows from the task content that;
The like terms in the equation can be combined as follows;
1−2 b + 4 =1−8 b + 88
-2b +8b = 88 +1-4-1
6b = 84
b = 84/6
b = 14
Read more on equivalent expressions;
https://brainly.com/question/24734894
#SPJ1
Answer:
Hey There~ You're Answer Would be ??? I Solved It Out
\(b = 14\) \(14\) \(Is\) \(You're\) \(Answer\)
show work plz !!!!!!!!!!!!
Step-by-step explanation:
5- 24/6 -8(8)
5-4 -64
-65
Answer:
-63
Step-by-step explanation:
insert in the missing value so it will be
5 - 24/6 - 8*8 you do division and multiplication first
24/60=4 and 8*8=64 so
5 - 4 -64 = negative 63
Helppppppppppppp this is due tonight at 8:00
help me please quick!!!
Answer:
y is 12 degrees
x is 30 degrees
Step-by-step explanation:
If angle ABC is equal to angle MNC, that means 5y equals to 60 degrees. 60 divided by 5 equals 12. So, y equals 12 degrees
2x and 4x equals 180 degrees. So, 180 divided by 6 equals to 30. So x equals 30 degrees
Answer:
x = 30, y = 12
Step-by-step explanation:
2 similar equilateral triangles, each corner is 60 degrees.
2x = 60 degrees
divide by 2
x = 30 degrees
5y = 60 degrees
divide by 5
y = 12 degrees
This can be verified by checking 4x + 2x which gives you 180 degrees forming that straight line angle.
The mean of all possible sample means is equal to the
Select one:
a. population mean
b. population variance
c.
d. sample variance
a. population mean
The mean of all possible sample means is equal to the population mean.
This is known as the sampling distribution of the sample mean. When we take multiple random samples from a population and calculate the mean of each sample, the average of these sample means will converge to the population mean.
This is a fundamental result of statistics known as the Central Limit Theorem. As the sample size increases, the variability of the sample means decreases and they become centered around the population mean.
Therefore, the mean of all possible sample means provides an unbiased estimate of the population mean.
To learn more about sample means click here: brainly.com/question/31101410
#SPJ11
Elmer bought 4 spotted plants for 450. 00 each and paid four 500 peso bills. Writ e the numerical expression to represent this situation. How much money elmer gets back from the plants seller?
a) The numerical expression to represent this situation is 4 x 450.00 - 4 x 500 = 200
b)Elmer gets back 200 pesos from the plant seller.
The total cost of the spotted plants that Elmer bought is
4 spotted plants x 450.00 pesos per plant = 1,800.00 pesos
Elmer paid with four 500 peso bills, which is a total of
4 x 500 pesos = 2,000 pesos
To find out how much money Elmer gets back from the plant seller, we need to subtract the total cost of the plants from the amount Elmer paid
2,000 pesos - 1,800 pesos = 200 peso
Therefore, the numerical expression to represent this situation is
4 x 450.00 - 4 x 500 = 200
Elmer gets back 200 pesos from the plant seller.
Learn more about numerical expression here
brainly.com/question/29778337
#SPJ4
math help please help
Find the radius of convergence R of the series.
[infinity] n
bn (x − a)n, b > 0
n = 1
R =
Find the interval of convergence of the series. (Enter your answer using interval notation.)
The interval of convergence is from (a - b) to (a + b), where b is a positive number.
1. The radius of convergence R is given by the formula R = 1/|b|.
2. The interval of convergence is given by the formula (a - b, a + b).
The radius of convergence R of a series is a measure of how quickly the series converges. It is calculated by taking the inverse of the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the radius of convergence is 1/|b|.
The interval of convergence is the region in which the series converges. It is determined by the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the interval of convergence is (a - b, a + b). This means that the series converges for values of x in the range from (a - b) to (a + b).
Learn more about interval here
https://brainly.com/question/24131141
#SPJ4
A highway sign shows a speed limit of 60 miles per hour. Which of the following car speed measurements represent the same level of accuracy compared to the speed limit sign? Check all that apply. A. 64 mph B. 56 mph O C. 48 mph O D. 68 mph
Answer:
B and C
Step-by-step explanation:
IT is found that B. 56 mph and C. 48 mph car speed measurements represent the same level of accuracy compared to the speed limit sign.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken
We can see that As the speed limit on the highway is 60 miles per hour and the speeds mentioned above are below the speed limit.
The legal top speed at which a vehicle may travel on a specific section of road is determined by speed limits for road traffic, since they are utilized in the most of countries.
On a traffic sign, it is known that the maximum allowed speed is typically displayed and expressed in kilometers per hour (km/h) or miles per hour (mph).
Learn more about speed limit here:
brainly.com/question/10492698
#SPJ2
I need help solving this
Answer:
the answer is in the picture
evaluate the triple integral. 16y dv, where e is bounded by the planes x = 0, y = 0, z = 0, and 2x 2y z = 4 e
The value of the triple integral is -16.
Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.
The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:
∭E f(x, y, z) dV
We can set up the triple integral as follows:
∫∫∫ 16y dV
Where the limits of integration are:
0 ≤ x ≤ 2
0 ≤ y ≤ (2- \(x^2\)z)/(2y)
0 ≤ z ≤ 2/\(x^{2y\)
Note that the upper bound of integration for y is not a constant, but depends on both x and z.
Integrating with respect to y first, we get:
∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)
= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)
= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz
= ∫\(0^2 (32/x^2 - 16z)\) dz
= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz
= 16 - 16(2)
= -16
Therefore, the value of the triple integral is -16.
To learn more about triple integral visit:https://brainly.com/question/30404807
#SPJ11
Autumn went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $22, but the price with tax came to $23.98. Find the percent sales tax.
Answer: 9%
Step-by-step explanation: