The polynomial 4x^3 + 0.4 is a binomial of degree 3. It consists of two terms: 4x^3 and 0.4. Among the given options, the correct option is binomial.
The given polynomial is 4x^3 + 0.4. To determine its degree, we look for the highest power of the variable, which in this case is x. The term with the highest power of x is 4x^3, so the degree of the polynomial is 3.
Now, let's classify the polynomial.
A monomial is a polynomial with only one term, such as 3x or -2.5y^2. A binomial consists of two terms, like 4x^2 + 2 or -3y + 5. A trinomial has three terms, for example, 2x^3 + 3x^2 - 7 or 2a - 4b + c.In the given polynomial, we have two terms, 4x^3 and 0.4.
Since there are only two terms, it falls under the category of a binomial.
Therefore, the given polynomial is a binomial of degree 3.
So, the polynomial 4x^3 + 0.4 has a degree of 3 and is classified as a binomial.
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The ratio of the circumference of a circle to its diameter is
A
always \piπ:1.
B
equal to the area of the circle.
C
dependent on the length of the radius.
D
different depending on the size of the circle.
Answer:
always piπ:1. "A"
Step-by-step explanation:
circumference of a circle= 2πr
diameter of a circle=2r
ratio of circumference to radius=2πr/2r
=π/1 or π:1
Lisa solved 40 math fact problems in 2 ½ minutes and 80 math fact problems in 5 minutes. What’s her unit rate?
Answer:
16 problems a minute
Step-by-step explanation:
Unit rate = "the 1 value"
The "1", in this case, would be 1 minute.
So, we need to find the number of questions she is solving every minute.
To do this, either divide 40 by 2.5 (2 and 1/2), or 80 by 5 Dividing either will give you the number 16, and this is your answer.
\(\sqrt{x}\)=3
Help me x
Answer:
9Step-by-step explanation:
\(\sqrt{x} = 3\)Square both sides:
\((\sqrt{x} )^2 = 3^2\)x = 9\(\\ \tt\Rrightarrow \sqrt{x}=3\)
\(\\ \tt\Rrightarrow x=3^2\)
\(\\ \tt\Rrightarrow x=3(3)\)
\(\\ \tt\Rrightarrow x=9\)
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
\(A=18(1+\sqrt{3}) \: u^{2}\) or \(A=49.18 \: u^{2}\).
Step-by-step explanation:
Using the definition of tangent, we have:
\(tan(\alpha)=\frac{6}{\vec{AB}}\)
We know that tan(α) = 1, then we can find AB
\(1=\frac{6}{\vec{AB}}\)
\(\bar{AB}=6\: u\)
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
\(tan(30)=\frac{6}{\bar{BC}}\)
\(\bar{BC}=\frac{6}{tan(30)}\)
\(\bar{BC}=\frac{6}{1/\sqrt{3}}\)
\(\bar{BC}=6\sqrt{3} \: u\)
So, the base of the triangle will be:
\(b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u\)
The area of a triangle is given by the following equation:
\(A=\frac{b*h}{2}\)
b is the base (\(b=6(1+\sqrt{3})\: u\))h is the height (h=6 u)\(A=\frac{6(1+\sqrt{3})*6}{2}\)
\(A=18(1+\sqrt{3})\)
Therefore, the area will be \(A=49.18 \: u^{2}\).
I hope it helps you!
[ 4 7] [3 6 5 ]
Find C =AB, if A = [9 1] B = [2 6 7]
The product of matrices A and B, denoted as C = AB, is determined by performing matrix multiplication using the given matrices. In this case, A is a 2x1 matrix and B is a 1x3 matrix. The resulting matrix C will have dimensions 2x3.
To find the product of matrices A and B, we perform matrix multiplication by multiplying corresponding elements and summing the results.
The dimensions of the matrices must be compatible for multiplication, meaning the number of columns in the first matrix must match the number of rows in the second matrix.
Given matrices A and B:
A = [9 1]
B = [2 6 7]
To calculate C = AB, we multiply each element of A with the corresponding element in B, and then sum the results. The resulting matrix C will have dimensions 2x3.
C = [92 + 13 96 + 16 97 + 15]
Calculating each element of C, we have:
C = [18 + 3 54 + 6 63 + 5]
[21 60 68]
Simplifying, we get:
C = [21 60 68]
Therefore, the product of matrices A and B, denoted as C = AB, is the matrix:
C = [21 60 68]
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Use the points in the diagram to name the figure.
D) Line JK
<----->
JK
Hope it helps :)
An equation of the cone z = √3x² + 3y2 in spherical coordinates is: P = 3 ¢ = 7 This option None of these This option This option This option Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5-x² - y² where x 20 and y 20. Which of the following triple integral in cylindrical coordinates allows us to evaluate the volume of D? 2-47² √√√³√²-²³ dzdrdo ar dzdrde This option for r dzdrde This option This option None of these This option Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. Which of the following triple integral in spherical coordinates allows us to evaluate the volume of D? fofo ₂ p²sinodpdode of p²sinodododo This option p²sinodpode This option This option None of these
An equation of the cone z = √3x² + 3y² in spherical coordinates is: None of these. A cone is formed by rotating a straight line around an axis when one end of the straight line remains fixed.
For example, if the equation of a cone is known, we may use calculus to calculate the cone's volume and surface area. Cone: A cone is a three-dimensional geometric shape that has one circular base at one end and a single point at the other end. A cone's height is the distance from the tip to the base surface's center. The angle formed between the slant height and the base radius is called the cone's half-angle. The vertical plane that passes through the cone's apex and base centerline is called the cone's axis.
Spherical coordinates: In three-dimensional space, spherical coordinates are a coordinate system. Three parameters, the radial distance r, the polar angle θ, and the azimuthal angle φ, are used to specify the position of a point using spherical coordinates. In this case, the radial distance, which is the distance from the origin, is r, and the polar angle and azimuthal angles are represented by θ and φ, respectively. Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x² + y² ≤ 4.
The cylindrical coordinate system is a three-dimensional coordinate system that uses cylindrical polar coordinates to specify a point in space. Cylindrical coordinates are a generalization of two-dimensional polar coordinates, which are used to define a point in the plane. The integral that allows us to calculate the volume of the region is given by: ar dzdrde. Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. The integral that allows us to calculate the volume of the region is given by: p²sinodpdode.
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a locker is in the shape of right rectangular prism. its dimensions are as shown.what is the surface area of this locker?
The surface area of this locker is 432 square centimeters .
The right rectangular prism shown in the figure has dimensions 8 cm (length) x 6 cm (width) x 12 cm (height).
1. The top and bottom faces are both rectangles with dimensions 8 cm (length) x 6 cm (width). The area of each face is:
A = length x width = 8 x 6 = 48 cm²
Since there are two of these faces, the total area is:
2 x 48 = 96 cm²
2. The front and back faces are also rectangles with dimensions 8 cm (length) x 12 cm (height). The area of each face is:
A = length x height = 8 x 12 = 96 cm²
the total area is:
2 x 96 = 192 cm²
3. The left and right faces are rectangles with dimensions 6 cm (width) x 12 cm (height). The area of each face is:
A = width x height = 6 x 12 = 72 cm²
the total area is:
2 x 72 = 144 cm²
4. Therefore, the total surface area of the locker is the sum of all the faces:
Total surface area = 96 + 192 + 144 = 432 cm²
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What is the volume of a cylinder with a radius of 30 cm and a height of 15 cm PLEASE IM BEGGING PLEASE HELP
Answer:
We need to find the area of the base/circle then multiply it by the height so if you know the formula area of a circle your good to go.
30^2 = 900
900 x 3.14 =2,826
Now lets multiply the base's area/circle by the height!
2,826 x 15 = 42,390 cm^3(cm cubed) is your answer.
Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.
Answer:
(a) Line 1
Step-by-step explanation:
The given point is only a solution to the equation for Line 1. This is shown in the attached graph.
__
You can put those values into each equation to see if it is satisfied.
1: -4 +2 = -2 . . . . this equation is satisfied.
2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied
(-4, 2) is a solution to the Line 1 equation only.
Given f(x)=2x2+4, find the value of f(−1)
The value of f(-1) according to the function f(x) given is; 6.
What is the value of f(-1) according to f(x) given?It follows from the task content that the function, f(x) = 2x² + 4.
On this note, to evaluate the value of f(-1), we must substitute -1 for x in the function given as follows;
f(-1) = 2(-1)² + 4
f(-1) = (2×1) +4
f(-1) = 6.
Ultimately, f(-1) = 6.
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among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? nb(x;6, 18
8
)
h(x;6,8,18)
h(x;6, 18
8
)
b(x;6, 18
8
)
b(x;6,8,18)
nb(x;6,8,18)
(b) Compute P(X=2),P(X≤2), and P(X≥2). (Round your answers to four decimal places.) P(x=2)=1
P(x≤2)=1
P(x≥2)=
(c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) mean individuals standard deviation individuals
The distribution for X is a negative binomial distribution, denoted as nb(x;6, 188), with parameters r = 6 (number of successes), p = 8/18 (probability of success in each trial).
To compute the probabilities:
P(X = 2): nb(2;6, 8/18)
P(X ≤ 2): nb(0;6, 8/18) + nb(1;6, 8/18) + nb(2;6, 8/18)
P(X ≥ 2): 1 - P(X < 2) = 1 - P(X ≤ 1)
To calculate the mean value and standard deviation of X:
Mean (μ) = r * (1 - p) / p
Standard Deviation (σ) = sqrt(r * (1 - p) / (p^2))
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please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
Round 56.14 to the nearest tenth
Answer:
Step-by-step explanation:
56.1
Consider the lexicographic preferences on apricots and bananas (a, b) ∈ IR2+ given in class.
1. Prove that they are transitive.
2. Prove that they cannot be represented by a continuous utility function
u(a, b).
The lexicographic preferences on apricots and bananas are transitive. They cannot be represented by a continuous utility function u(a, b).
1. To prove that the lexicographic preferences on apricots and bananas are transitive, let's assume the following:
(x1, y1)≻(x2, y2) (x2, y2)≻(x3, y3)
That implies the following:
1. x1 > x2 or (x1 = x2 and y1 > y2)
2. x2 > x3 or (x2 = x3 and y2 > y3)
Therefore, we have two cases:
Case 1: x1 > x2 > x3
If this is true, then we have
(x1, y1) > (x3, y3),
and the lexicographic preferences are transitive.
Case 2: x1 = x2 > x3
If this is true, then
y1 > y2, and x2 = x3,
which means
y2 > y3.
Therefore, (x1, y1) > (x3, y3), and the lexicographic preferences are transitive.
2. Now we need to prove that the lexicographic preferences on apricots and bananas cannot be represented by a continuous utility function u(a,b).
Suppose that there exists a continuous utility function u(a,b) that represents the lexicographic preferences on apricots and bananas.
Therefore, (a1, b1) ≻ (a2, b2) if and only if u(a1, b1) > u(a2, b2).
Let's consider two cases:
Case 1: a1 > a2.
Since
u(a1, b1) > u(a2, b2),
we have:
u(a1, b1) - u(a2, b2) > 0,
which means that
Δu = u(a1, b1) - u(a2, b2) > 0
Case 2: a1 = a2 and b1 > b2.
Since
u(a1, b1) > u(a2, b2),
we have:
u(a1, b1) - u(a2, b2) > 0,
which means that
Δu = u(a1, b1) - u(a2, b2) > 0
Therefore, we have Δu > 0 in both cases, which contradicts the fact that the lexicographic preferences on apricots and bananas are non-continuous.
Hence, they cannot be represented by a continuous utility function u(a,b).
In conclusion, the lexicographic preferences on apricots and bananas are transitive but cannot be represented by a continuous utility function.
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Find f(x) if y=f(x) satisfies dy/dx =63yx6 and the y-intercept of the curve y=f(x) is 2 . f(x)= ___
To find f(x), we need to solve the given differential equation and use the initial condition of the y-intercept, so f(x) = \(e^(9x^7 + ln|2|)\).
The given differential equation is: dy/dx = 63\(yx^6\).
Separating variables, we have: dy/y = 63\(x^6\) dx.
Integrating both sides, we get: ln|y| = 9\(x^7\)+ C, where C is the constant of integration.
To determine the value of C, we use the y-intercept condition. When x = 0, y = 2. Substituting these values into the equation:
ln|2| = 9(0)\(^7\) + C,
ln|2| = C.
So, C = ln|2|.
Substituting C back into the equation, we have: ln|y| = 9\(x^7\)+ ln|2|.
Exponentiating both sides, we get: |y| = \(e^(9x^7 + ln|2|)\).
Since y = f(x), we take the positive solution: \(y = e^(9x^7 + ln|2|)\).
Therefore, f(x) = \(e^(9x^7 + ln|2|)\).
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Type the number in standard form
4.21 x 10^4
Answer:
0.00042
Step-by-step explanation:
Help pleaseee 15 points
Answer:
55°
Step-by-step explanation:
35°+ 90° + ? =180°
? = 180° - 125°
= 55°
\(\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}\)
55°
Step-by-step explanation:
let the missing angle be x
x + 90° + 35° = 180°
(angle sum theorem)
the sum of all 3 angles of triangle is always 180°x + 125° = 180°
x = 180° - 125°
x = 55°
a political pollster wants to know what proportion of u.s. adults support a proposed amendment to the constitution. the pollster will use a confidence level of 95% and wants a margin of error of 4%.
The minimum sample size needed to estimate the proportion of U.S. adults supporting the proposed amendment with a 95% c
To determine the sample size needed for estimating the proportion of U.S. adults supporting the proposed amendment to the constitution with a confidence level of 95% and a margin of error of 4%, we can use the formula:
n = (Z^2 * p * (1 - p)) / (E^2)
Where:
n = sample size
Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)
p = estimated proportion (since we don't have an estimate, we can assume p = 0.5, which provides the maximum sample size required)
E = margin of error (0.04 in this case)
Plugging in the values, we get:
n = (1.96^2 * 0.5 * (1 - 0.5)) / (0.04^2)
n = 600.25 / 0.0016
n ≈ 37515.625
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HELP! ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Ty ty ty ty tysmmmmm! I hope you have a amazing day!.
Answer:
(1)1 hour 15 minutes
(2)4:07
(3) 30 minutes
(4) 8:35
Step-by-step explanation:
1.We are given that
Trey and Na'Asia played basketball from 10:30-11:45
We have to find the time they play basketball.
11:45-10:30
11-10=1 hour
45-30=15 minutes
They played basketball for duration=1 hour 15 minutes
(2)
School left at 3:15
I got home 52 minutes later.
Then, I got home at =3:15+52 minutes
15 minutes+52 minutes=67 minutes
67 minutes=1 hour 7 minutes
Therefore, I got home at 4:07.
(3)
He begins making Macaroni and chees at 6:35
He finished at 7:05.
He cook his food for time =25+5=30 minutes
(4)
Mahkiya and Madison went to Cheerleading at 7:15
It was over 1 hour and 20 minutes later .
Therefore, time=7:15+1 hour 20 minutes
=(7+1) : (15+20) minutes
=8:35
Hence, it was over at 8:35.
I don't remember how to do this
Answer:
b i think?
Step-by-step explanation:
Find the measure of arc IK if theta equals 58°
Check the picture below.
Leonard and Marcus have saved up a total of $47.00. Leonard has saved 3 dollars less than 3/5 as much as Marcus. How much has Marcus saved?
Answer:
marcus saved 31.25
Step-by-step explanation:
Which of the following sets is equal to {1, 2, 3, ...}?
{x | x R, x ≥ 1}
{x | x R, x > 1}
{x | x N, x ≥ 1}
From the list of options, the set that is equal to the set {1, 2, 3, ...} is {x | x N, x ≥ 1}
How to determine the set?The set is given as:
{1, 2, 3, ...}
The three dots (...) after 3 implies that the elements of the set include other values such as 4, 5, 6 and so on
Using the above scenario, we can see that the set {1, 2, 3, ...} contains only positive integers.
All positive integers are natural numbers and they are denoted by N
From the list of options, we have:
{x | x R, x ≥ 1}
This represents the set of all real numbers greater than or equal to 1.
Note that this set includes decimal numbers i.e. 1, 1.5, 1.89 and so on
This does not represent the set {1, 2, 3, ...}
{x | x R, x > 1}
This represents the set of all real numbers greater than 1.
Note that this set includes decimal numbers i.e. 1.5, 1.89 and so on
This does not represent the set {1, 2, 3, ...}
{x | x N, x ≥ 1}
This represents the set of all natural numbers greater than or equal to 1.
Note that this set does not include decimal numbers i.e. 1, 2, 3, 4 and so on
This does represent the set {1, 2, 3, ...}
Hence, the set that is equal to the set {1, 2, 3, ...} is {x | x N, x ≥ 1}
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There are 0.5 milligrams of iron in a 3.5 ounce serving of cod. How much iron is in 5 ounces of cod? Round the answer to one decimal place.
sorry need pts
\( \) \( \) \( \)
Answer: 6
Step-by-step explanation:
Al is a medical doctor who conducts his practice as a sole proprietor. During 2021 , he received cash of $516,600 for medical services. Of the amount collected, $37,200 was for services provided in 2020 . At the end of 2021 , Al had accounts receivable of: $88,000, all for services rendered in 2021. In addition, at the end of the year, Al received $10,000 as an advance payment from a health maintenance organization (HMO) for services to be rendered in 2022 . a. Compute-Al's gross income for 2021 using the cash basis of accounting. b. Compute Al's gross income for 2021 using the accrual basis of accounting. c. Advise Al on which method of accounting he should use. Al should use the of accounting so that he will not have to pay income taxes on the Exercise-5-22 (Algorithmic) (LO. 2) Ellie purchases an insurance policy on her life and names her brother, Jason, as the beneficiary. Ellie pays $47,750 in premiums for the policy during her life. When she dies, Jason collects the insurance proceeds of $716,250. As a result, how much gross income does Jason report? Jarrod receives a scholarship of $37,000 from East State University to be used to pursue a bachelor's degree. He spends $22,200 on tuition, $1,850 on books and supplies, $7,400 for room and board, and $5,550 for personal expenses. How much may Jarrod exclude from his gross income?
a. Using the cash basis of accounting, Al's gross income for 2021 is $479,400.
b. Using the accrual basis of accounting, Al's gross income for 2021 is $614,600.
c. Al should use the accrual basis of accounting for reporting his gross income.
a. Under the cash basis of accounting, income is recognized when it is received in cash. In this case, Al received cash of $516,600 for medical services in 2021. However, $37,200 of this amount was for services provided in 2020. Therefore, Al's gross income for 2021 using the cash basis is $516,600 - $37,200 = $479,400.
b. Under the accrual basis of accounting, income is recognized when it is earned, regardless of when the cash is received. In this case, Al earned $516,600 for medical services in 2021, including the $37,200 from 2020. Additionally, Al had accounts receivable of $88,000 at the end of 2021 for services rendered in 2021. Therefore, Al's gross income for 2021 using the accrual basis is $516,600 + $88,000 = $604,600.
c. It is advisable for Al to use the accrual basis of accounting because it provides a more accurate representation of his income by recognizing revenue when it is earned, even if the cash is received later. This method matches revenues with the expenses incurred to generate those revenues, providing a better overall financial picture. Using the accrual basis will also allow Al to track and report his accounts receivable accurately, providing a clearer understanding of his practice's financial health.
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Rafael runs 4 miles in 30 minutes. At the same rate, how many minutes would he take to run 10 miles?
Rafael will take 75 minutes to run 10 miles at the same rate.
Solution:
We know that Rafael can run 4 miles in 30 minutes.
So, we can find his pace, as follows:
30 minutes/ 4 miles = 7.5 minutes per mile.
So, for 10 miles he will take 7.5* 10 = 75 minutes.
Hence, it will take Rafael 75 minutes to run 10 miles.
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What are the x-intercepts of the graph of y
Answer:
The answer is D
Step-by-step explanation:
The cost in dollars) of producing a high-end plasma television sets is C = g(2) = 550 + 402. Find a formula for the inverse function g'.g-'(C)=
Given:
The function is,
\(g(x)=550+40x\)Explanation:
Assume y = g(x). So
\(\begin{gathered} y=g(x) \\ =550+40x \end{gathered}\)Replace variable x with y and y with x.
\(x=550+40y\)Solve the equation for y.
\(\begin{gathered} x=550+40y \\ 40y=x-550 \\ y=\frac{x-550}{40} \end{gathered}\)So inverse of function g(x) is,
\(g^{-1}(x)=\frac{x-550}{40}\)6. If AB = CD, then CD = AB.
what is the postulate, or theorem
Answer:. Then either A = C and B = D, or A = D and B = C.
Step-by-step explanation: