6x^2+3x

Factor the polynomial

1 foot is equal to 12 inches. So one feet is equal to 12 inches. The conversion factor between feet and inches is 1 ft = 12 in.

Inches (in) and feet (ft) are both units of measurement for length, but they are not directly interchangeable. To convert a measurement of length from feet to inches, you will need to use a conversion factor.

To convert a measurement of length from feet to inches, you will multiply the number of feet by the conversion factor of 12.

For example,

if you have a measurement of 2 feet, you would multiply 2 x 12 to get 24 inches. So, 2 ft = 24 in.

It's important to note that when measuring length, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.

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Answer:

Use Desmos or GeoGebra.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The O is not part of the function.

f(n) = 3n-4 is an arithmetic sequence. The first term is -1 and the common difference is 3.

Answer:

9.553×10^-26

Step-by-step explanation:

m= 9.1 ×10 ^-31

v = 3 × 108

= ( 9 .1 × 10 ^- 31) × ( 3 × 108 ) ^2

= 9 .552816 × 10 ^ -26

approximately

9.553×10 ^26

Answer:

Step-by-step explanation:

Theoretically you would divide the area of the garden by the area of the corn in order to get the area of the pumpkin. so divide 2x^2+5x+4/x2-3x+2.

Given the algebraic expression,  \(2x^2y\), the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

Recall:

Given an expression, say, \(2x^2 + 4x + 5\).

Thus, we are given the expression, \(2x^2y\),

The expression has only 1 term: \(2x^2y\)

1 coefficient: 2

It has no constant.

Therefore, given the algebraic expression,  \(2x^2y\), the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

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Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

Answer: Domain is \([0,\infty)\) and range is [0,4000].

Step-by-step explanation:

It is given that, the set of ordered pairs (t,d), where

t = the time in seconds after  someone jumps out of a plane at  4000 meters to go skydiving

d = is the displacement above the  ground.

It means t is independent variable and it is represented on the x-axis.

d is dependent variable and it is represented on the y-axis.

We need to find the domain and Range.

Domain is the set of input values.

Here, input is time and time can not be negative.

Domain \(=0\leq t=[0,\infty)\)

Range is the set of output values.

Here, output is displacement above the  ground which can not be negative or more than 4000 meters.

Range \(=0\leq d\leq 4000=[0,4000]\)

Therefore, domain is \([0,\infty)\) and range is [0,4000].

Answer:

\( - 3 \leqslant w < 1\)

Step-by-step explanation:

as shown in picture attached

The set of integers is a Pythagorean triple are option (A) 10, 24, 25 and (D) 6, 8, 10

A Pythagorean triple is a set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right triangle.

Let's check each set of integers

A. 10^2 + 24^2 = 100 + 576 = 676 = 25^2. Therefore, (10, 24, 25) is a Pythagorean triple.

B. 9^2 + 12^2 = 81 + 144 = 225 = 15^2. Therefore, (9, 12, 15) is a Pythagorean triple. However, the set given is (9, 12, 21), which is not a Pythagorean triple.

C. 8^2 + 15^2 = 64 + 225 = 289 = 17^2. Therefore, (8, 15, 17) is a Pythagorean triple. However, the set given is (8, 15, 23), which is not a Pythagorean triple.

D. 6^2 + 8^2 = 36 + 64 = 100 = 10^2. Therefore, the set of integers (6, 8, 10) is a Pythagorean triple.

Therefore, the correct options are (A) 10, 24, 25 and (D) 6, 8, 10

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The given question is incomplete, the complete question is:

Which set of integers is a Pythagorean triple?

A.

10, 24, 25

B.

9, 12, 21

C.

8, 15, 23

D.

6, 8, 10

Answer:

A

Step-by-step explanation:

A is the right answer because I took the quiz.

Assuming that the car is not moving, the force the car exerts against the driveway is equal in magnitude and opposite in direction to the force of gravity acting on the car. We can break down the force of gravity into two components: one perpendicular to the driveway and one parallel to the driveway.

The component of gravity perpendicular to the driveway is equal to the weight of the car times the cosine of the angle of inclination:

F_perp = mgcos(4°)

where m is the mass of the car, g is the acceleration due to gravity, and F_perp is the perpendicular component of the force of gravity.

The component of gravity parallel to the driveway is equal to the weight of the car times the sine of the angle of inclination:

F_parallel = mgsin(4°)

where F_parallel is the parallel component of the force of gravity.

Since the car is not moving, the force the car exerts against the driveway is equal in magnitude to the force required to keep the car from rolling down the driveway:

F_exerted = 480 lb

Thus, we have the equation:

F_exerted = F_parallel

Substituting the expressions for F_parallel and F_perp, we get:

mgsin(4°) = 480 lb

Solving for the mass of the car, we get:

m = 480 lb / (g*sin(4°))

Substituting the mass of the car into the expression for the perpendicular component of the force of gravity, we get:

F_perp = mgcos(4°) = (480 lb / (gsin(4°))) * gcos(4°)

Simplifying, we get:

F_perp = 480 lb / tan(4°)

Thus, the force the car exerts against the driveway is:

F_exerted = F_parallel = 480 lb

And the force of gravity perpendicular to the driveway is:

F_perp = 480 lb / tan(4°) ≈ 6,837 lb

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The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

\(H_{o} :p=0.20\), null hypothesis

\(H_{1} :p\neq 0.20\), alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

\(Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }\)

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

\(Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }\)

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

A. a is where performance is minimal

Step-by-step explanation:

b is representing peak performance.

The number of words he still need to write in one of his writing sessions would be = 95 minutes.

A graduate is an individual that has completed studies in an institution for a number of years and is being issued a certificate afterwards.

The number of words committed for a day by Nick = 500 words.

He writes 120 words = 30 mins

The total number of words remaining = 500 - 120 = 380 words.

Therefore the time it will take to finish the remaining 380 words in the day = X mins.

If 30 mins= 120 words

X mins = 380 words.

Make X mins the subject of formula;

X mins = 380× 30/120

X mins = 11,400/120

X mins= 95 minutes.

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The given function is not specified clearly. It appears to be an incomplete expression with missing information and contains mathematical symbols that do not form a valid function. To provide a Fourier series representation, I would need a well-defined function or equation.

The Fourier series represents periodic functions as an infinite sum of sine and cosine functions. It requires a function defined over a specific interval with periodicity. Once you provide a valid function and the interval over which it is defined, I can help you determine its Fourier series representation.

Please provide the complete and correct function, along with the interval of definition, so that I can assist you further in finding its Fourier series representation.

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The expression is simplified to F⁸. Option C

To determine the value, we have that;

Index forms are described as forms used in the representation of numbers that are too small or large.

Other names for index forms are scientific notation and standard forms.

From the information given, we have that

F² by the power of 4

This is represented as;

(F²)⁴

To simply the index form, we need to expand the bracket by multiplying the exponential values, we get;

F⁸

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The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

To solve the system of equations using the weighted least squares method, we need to minimize the sum of the squared weighted residuals. Let's solve the problem using both the algebraic approach and matrices.

Algebraic Approach:

We have the following equations:

A + 2B = 10.50 + V1 ... (1)

2A - 3B = 5.55 + V2 ... (2)

2A - B = -10.50 + V3 ... (3)

To minimize the sum of squared weighted residuals, we square each equation and multiply them by their respective weights:

\(2^2 * (A + 2B - 10.50 - V1)^2\)

\(3^2 * (2A - 3B - 5.55 - V2)^2\\1^2 * (2A - B + 10.50 + V3)^2\)

Expanding and simplifying these equations, we get:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1)\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2)\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\\\)

Now, let's sum up these equations:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1) +\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2) +\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\int\limits^a_b {x} \, dx\)

Simplifying further, we obtain:

\(14A^2 + 31B^2 + 1113 + 14V1^2 + 33V2^2 + 14V3^2 + 14AB - 231A - 246B + 21V1 - 11.1V2 + 21V3 = 0\)

Now, we have a single equation with two unknowns, A and B. We can use various methods, such as substitution or elimination, to solve for A and B. Once the values of A and B are determined, we can substitute them back into the original equations to find the most probable values of A and B.

Matrix Approach:

We can rewrite the system of equations in matrix form as follows:

| 1 2 | | A | | 10.50 + V1 |

| 2 -3 | | B | = | 5.55 + V2 |

| 2 -1 | | -10.50 + V3 |

Let's denote the coefficient matrix as X, the variable matrix as Y, and the constant matrix as Z. Then the equation becomes:

X * Y = Z

To solve for Y, we can multiply both sides of the equation by the inverse of X:

X^(-1) * (X * Y) = X^(-1) * Z

Y = X^(-1) * Z

By calculating the inverse of X and multiplying it by Z, we can find the values of A and B.

Comparing Results:

The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

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~Denki Kaminari here~

Answer:

6

Step-by-step explanation:

because x is equal to 1, and y is equal to 2, all we need to do is skip count 3 times by 2 and you get your answer: 6!

hope this helps :D

Answer:

6

Step-by-step explanation:

Given that x = y so that means if y and x are same and have same values. Therefore if y = 2 then x = 2.

So substitute x = 2 in 3x:

3(2) = 6

Therefore, the solution is 6

Answer: x=2, y=-1

Step-by-step explanation:

Step 1) Make both equations have the same coefficient

What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.

\((2)x - (2)2y = (2)4\\2x-4y=8\)

Step 2) Add the equations together to eliminate y

\(2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10\)

Step 3) Solve for x

\(\frac{5x}{5} =\frac{10}{5} \\x=2\)

Step 4) Sub the value of x into an equation and solve for y

\(x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1\)

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

4 square root 5 is the answer

root(20*4)

2 × root(5×4)

4×root(5)

-7 open parentheses -4 close parentheses times 18 is 504, it looks like -7(-4)18

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

A statement;-7 open parentheses -4 close parentheses times 18

Here, open parentheses means '(' and close parentheses means')'

So, it means;

-7(-4)18

Its value;-7(-4)18

=28x18

=504

Therefore, the algebra value will be 504 and stated as -7(-4)18.

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don't forget to make brainalist and keep smiling

Answer:

1 3/20

Step-by-step explanation:

This problem is an example of a balanced transportation problem since the total supply of goods is equal to the total demand.

The transportation problem is a well-known linear programming problem in which commodities are shipped from sources to destinations at the minimum possible cost. The initial step in formulating a mathematical model for the transportation problem is to identify the sources, destinations, and the quantities transported.
The objective of the transportation problem is to minimize the total cost of transporting the goods. The mathematical model of the transportation problem is:
Let there be m sources (i = 1, 2, …, m) and n destinations (j = 1, 2, …, n). Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
The transportation problem can then be formulated as follows:
Minimize Z = ∑∑cijxij
Subject to the constraints:
∑xij = si, i = 1, 2, …, m
∑xij = dj, j = 1, 2, …, n
xij ≥ 0
where si and dj are the supply and demand of goods at the i-th source and the j-th destination respectively.
Using the given table, we can formulate the transportation problem as follows:
Let A1, A2, and A3 be the sources, and B2, B3, and B4 be the destinations. Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
Minimize Z = 27x11 + 27x12 + 32x13 + 15x21 + 21x22 + 20x23 + 16x31 + 22x32 + 18x33
Subject to the constraints:
x11 + x12 + x13 = 3
x21 + x22 + x23 = 14
x31 + x32 + x33 = 10
x11 + x21 + x31 = 21
x12 + x22 + x32 = 32
x13 + x23 + x33 = 26
xij ≥ 0
In this way, we can construct a mathematical model of the transportation problem using the given table. The model can be solved using the simplex method to obtain the optimal solution.

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The volume of the solid generated by rotating the region bounded by the parabola 364X² and the square root function y = √366 around the x-axis is (2197π/3)√366, the surface area of the solid generated by rotating the region bounded by the curves (18+) y - 1x1 < 2 about the x-axis is approximately 40.6 units², and the series {(n²+2n)/(n³+1)} converges.

To calculate the volume of the solid generated by rotating the region bounded by the parabola 364X² and the square root function y = √366 around the x-axis, we need to use the disk method. The curves intersect at (±√364, ±√366), but since we are only interested in the region above the x-axis, we can use √366 as the upper limit of integration. Therefore, the volume can be calculated as:

V = π ∫[0,√366] (366 - 364X²) dx

= π [366X - (364/3)X³]∫[0,√366]

= π [366(√366) - (364/3)(√366)³]

= π (√366)(2197/3)

Hence, the volume of the solid is (2197π/3)√366.

To determine the surface area of the solid generated by rotating the region bounded by the curves (18+) y - 1x1 < 2 about the x-axis, we can use the formula for the surface area of a solid of revolution. The curve y = ±(2 + 1x1) intersect at (±1,3), but since we are only interested in the region above the x-axis, we can use 3 as the upper limit of integration. Therefore, the surface area can be calculated as:

S = 2π ∫[0,3] (2 + 1x1)√(1 + (dx/dy)²) dy

= 2π ∫[0,3] (2 + 1y)√(1 + (1/(2 + 1y))²) dy

≈ 40.6

Hence, the surface area of the solid is approximately 40.6 units².

To determine whether the series {(n²+2n)/(n³+1)} converges or diverges, we can use the limit comparison test. We can compare the series to the p-series ∑n⁻¹, which converges. Therefore, we can compute the limit:

lim(n → ∞) [(n²+2n)/(n³+1)] / (1/n)

= lim(n → ∞) (n³ + 2n²) / (n³ + 1)

= 1

Since the limit is finite and positive, the series converges by the limit comparison test.

Therefore, the volume of the solid generated by rotating the region bounded by the parabola 364X² and the square root function y = √366 around the x-axis is (2197π/3)√366, the surface area of the solid generated by rotating the region bounded by the curves (18+) y - 1x1 < 2 about the x-axis is approximately 40.6 units², and the series {(n²+2n)/(n³+1)} converges.

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The cardinality of the set a and relation r such that r =  {(a, b) | a divides b} is equal to 14.

Set is defined as,

{1,2,3,4,5,6}

The relation r defined on set a as 'r = {(a, b) | a divides b}. means that for each pair (a, b) in r, the element a divides the element b.

To find the cardinality of r,

Count the number of ordered pairs (a, b) that satisfy the condition of a dividing b.

Let us go through each element in set a and determine the values of b for which a divides b.

For a = 1, any element b ∈ a will satisfy the condition .

Since 1 divides any number. So, there are 6 pairs with 1 as the first element,

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6).

For a = 2, the elements b that satisfy 2 divides b are 2, 4, and 6. So, there are 3 pairs with 2 as the first element,

(2, 2), (2, 4), (2, 6).

For a = 3, the elements b that satisfy 3 divides b are 3 and 6. So, there are 2 pairs with 3 as the first element,

(3, 3), (3, 6).

For a = 4, the elements b that satisfy 4 divides b are 4. So, there is 1 pair with 4 as the first element,

(4, 4).

For a = 5, the elements b that satisfy 5 divides b are 5. So, there is 1 pair with 5 as the first element,

(5, 5).

For a = 6, the element b that satisfies 6 divides b is 6. So, there is 1 pair with 6 as the first element,

(6, 6).

Adding up the counts for each value of a, we get,

6 + 3 + 2 + 1 + 1 + 1 = 14

Therefore, the cardinality of the relation r is 14.

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━━━━━━━☆☆━━━━━━━

▹ Answer

2(7c - 2b)

▹ Step-by-Step Explanation

3a + 7b * 14c - 4b

14c - 4b → 2(7c - 2b)

Hope this helps!

CloutAnswers ❁

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━━━━━━━☆☆━━━━━━━

Answer:

2(7c - 2b)

Step-by-step explanation:

3a + 7b x 14c - 4b

3a + 3b x 14c

14c - 4b = 2(7c - 2b)