What is the product?
(x4)(3x2 - 2) (4x2 + 5x)?

Answer:

you have to finish posting the question in order to get a proper answer

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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Determine whether each relation is an equivalence relation. Justify your answer:

a) Take the relation P as it is presented.

A person's biological mother or father are the same as their own, respectively.

The relation P is therefore reflexive.

If person x and person y share the same biological mother or father, then x and y also share the same biological mother or father.

The relationship P is hence symmetric.

If person x and person y share the same same mother or father and if person y shares the same biological mother or father as person z, then it is not necessarily the case that person x shares the same biological mother or father as person z.

P is not always transitive as a result.

As a result, the relationship P is not always an equivalence connection.

b) Examine the relation M that is provided.

A person shares a biological mother with either themselves or themselves.

The relation M is therefore reflexive.

If person x and person y share the same biological mother, then so does person y.

The relationship M is hence symmetric.

If person x and person y have the same biological mother and if person y and person z share the same biological mother, then person x must share the same biological mother as person z.

M is hence transitive.

As a result, the relationship P is one of equivalence.

All offspring of a single mother are regarded as belonging to the same class.

d) X+X=2x is also an integer if x is an integer.

The relation E is therefore reflexive.

If x and y are integers and x+y is even, then y+x must likewise be even.

The relationship E is hence symmetric.

Assume x, y, and z are integers.

Assume that x+y are even. that is, for some integer j, x+y=2j.

Assume that y+z is also even. that is, for some integer k, y+z=2k.

Following that, x+z=2j-y+2k-y=2(j+k-y).

X+Z is also an integer because (j+k-y) is an integer.

As a result, the relation E that is supplied is an equivalence relation.

Therefore, the relation E is an equivalence relation for the set of all even numbers and the set of all odd numbers. there are two equivalence classes as a result.

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Complete question:

Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes.

(a) The domain is a group of people. Person x is related to person y under relation P if x and y have a common parent (i.e., x and y have the same biological mother or the same biological father or both). You can assume that there is at least one pair in the group, x and y, such that xPy. (b) The domain is a group of people. Person x is related to person y under relation M if x and y have the same biological mother. You can assume that there is at least one pair in the group, x and y such that xMy. (d) The domain is the set of all integers. xEy if x + y is even. An integer z is even if z = 2 k for some integer k.

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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Answer: The athletes would need to run a total of 3 laps around the track to run 3 miles.

Step-by-step explanation: 3x1=3 tada

Answer:

A. AB = AC because of the definition of an isosceles triangle

B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.

D. BM = CM because of the definition of a midpoint

Step-by-step explanation:

A. An isosceles triangle is a triangle with two equal sides, hence:

AB = AC because of the definition of an isosceles triangle. option A is correct.

D. Since Point M is drawn as the midpoint of BC, hence:

BM = CM because of the definition of a midpoint. Option D is correct.

E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.

AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.

C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.

Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion

ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.

D. Corresponding parts of congruent triangles are congruent. hence:

∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct

Answer:

-4.5

Step-by-step explanation:

Answer:

-4.5

Step-by-step explanation:

1. Multiply 1.25 by -3.6:

Answer:

It is answer C

Step-by-step explanation:

The measure of a central angle of a decagon is 36 degrees.

the 1/2 central angle = 18 degrees

Apothem ≈ 16.93

Area of the decagon ≈ 931.15

The figure has ten sides hence a decagon

To find the measure of a central angle of a decagon, we need to use the formula:

Central angle = 360 degrees / number of sides

Substituting the value for a decagon, we get:

Central angle = 360 degrees / 10 sides

Central angle = 36 degrees

To find the 1/2 central angle, we simply divide the central angle by 2:

1/2 central angle = 36 degrees / 2

1/2 central angle = 18 degrees

To find the apothem, we use the formula:

Apothem = (Side length) / (2 x tan(180 / number of sides))

Substituting the given values, we get:

Apothem = (11) / (2 x tan(18 degrees))

Apothem ≈ 16.93

To find the area of the decagon, we first need to find the perimeter using the formula:

Perimeter = (Number of sides) x (Side length)

Perimeter = 10 x 11

Perimeter = 110

Now, we can use the formula for the area:

Area = (1/2) x Apothem x Perimeter

Area = (1/2) x 16.93 x 110

Area ≈ 931.15

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Answer:

nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

Answer:

Yes

Step-by-step explanation:

I will write it in the form of a theorem

Given:

X=C; WX=BC;WY=BD

To prove:

WXY = BCD

Proof:

X=C (This is a angle)

WX=BC

WY=BD

Since there is an angle between two equal side for both triangle WXY is congruent or '=' BCD ny SAS.

Answer:

THE ANSWER IS B

Step-by-step explanation:

7,-7

Answer:

\(discount = \frac{1}{2} \times 39.95 \\ \: \: \: \: \: \: \: = 19.975 \\ sale \: price = 39.95 - 19.975 \\ = 19.975\)

Step-by-step explanation:

Hope that this is helpful.

B. 1/2

The blue marbles are half of the marbles that there are, so that makes it 1/2 which is also counted as 50%.

Hope that helped:)

Answer:

0.5

Step-by-step explanation:

\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=14\\ A=161 \end{cases}\implies 161=\cfrac{1}{2}b(14) \\\\\\ 161=7b\implies \cfrac{161}{7}=b\implies 23=b\)

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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Answer:

a)-79.6

b)=27

Step-by-step explanation:

a) F=9/5(-62)+32

F=-79.6

b) 81=9/5C+32

81-32=9/5C

49=9/5C

C=27.222

Therefore C=27

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

Answer:

bru

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The following percentages are listed below:

In this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:

x = r / r' × 100       (1)

Where:

Now we proceed to determine quantities related to percentages:

2.8 mm as a per cent of 2.24 cm

x = (2.8 mm / 22.4 mm) × 100 %

x = 12.5 %

What per cent of 1.5 m is 60 cm?

x = (60 cm / 150 cm) × 100 %

x = 40 %

What per cent of 2 kg is 125 g?

x = (125 g / 2000 g) × 100

x = 6.25 %

What per cent of R 6 to 40 p?

x = (40 / 600) × 100

x = 6.667 %

What per cent of a day is 10 h?

x = (10 h / 24 h) × 100

x = 41.667 %

What per cent of 7 1 / 3 m in 5 1 / 2 m ?

x = [(11 / 2) / (22 / 3)] × 100 %

x = 75 %

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)

Answer:

Robert will have $481 more in his account than Cooper.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

Similar to compound interest:

\(A(t) = P(1 + r)^t\)

Cooper:

Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that \(P = 3100, r = 0.02, n = 4\)

After 12 years is A(12). So

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

\(A(12) = 3100(1 + \frac{0.02}{4})^{4*12}\)

\(A(12) = 3938.5\)

Cooper will have $3938.5 in his account.

Robert:

Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So \(P = 3100, r = 0.03\).

After 12 years.

\(A(t) = P(1 + r)^t\)

\(A(12) = 3100(1 + 0.03)^{12}\)

\(A(12) = 4419.9\)

Robert will have $4419.9 in his account.

How much more money would Robert have in his account than Cooper, to the nearest dollar?

4419.9 - 3938.5 = 481.4

To the nearest dollar, Robert will have $481 more in his account than Cooper.

Their house will be worth approximately $240,154.57 in 8 years.

Non of the options is correct.

To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:

y = 150,000(1.004)^(12t)

y = 150,000(1.004)^(12*8)

y = 150,000(1.004)^96

Using a calculator or computer software to evaluate the exponential expression, we find:

y ≈ 150,000 * 1.601030475

y ≈ 240,154.57

None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:

A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.

B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.

C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.

D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.

Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.

Non of the options is correct.

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Answer:

C.

Step-by-step explanation:

11 is a prime number, meaning that its only factors are 1 and itself.

Answer:

c

Step-by-step explanation:

 9        10      11        12  

1,9       1,10    1,11     1,12

3,3      2,5               2,6

                              3,4

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

342 sprouts are planted outside.

Step-by-step explanation:

500 sprouts

500*0.10=50

500-50=450

450*0.20=90

450-90=360

360*0.05=18

360-18=342

Step-by-step explanation:

we can see the two sides are equal and the base angles are equal so we can certainly say that

It is an isosceles triangle.

Answer:

Isosceles, right angle triangle.

Step-by-step explanation:

The triangle drawn here is an isosceles triangle, because two of its sides are equal in length. Also, it is a right angle triangle, because, one of its angles measures 90°.

Hope it helps :)

Please mark my answer as the brainliest

Answer:

Wet and g.

Step-by-step explanation: