Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3
​

Answer:

I think it's 72

Step-by-step explanation:

I hade add them

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Answer:

10x = 75 100 ft X = 7.5 3.

Step-by-step explanation:

Answer:D. 24

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

RQ = 1 cm   (just like PQ)

tan (45+15) = QS / PQ

        sqrt (3) = QS / 1

             QS= sqrt (3)     then subtract RQ ( which is 1 cm) to find RS

                      RS = sqrt (3) - 1   cm

The perimeter of the triangle is 12 in.

What is perimeter of similar triangle?

The perimeter of similar triangle is equal to the ratio of the similar sides of the triangle.  The ratio of two similar perimeters of two similar shapes is equal to the  ratio of the lengths of their corresponding sides.

Here, perimeter of triangle PQR = sum of all the side

=12+20+16

=48

The ratio of the corresponding side = 12/3

=4/1

Hence, the perimeter of triangle xyz = ?

perimeter of triangle PQR /perimeter of triangle xyz =4/1

48/x =4/1

x = 48/4

=12

Hence, the perimeter of triangle xyz = 12

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according to the question,

given data in the question'

there are 51 houses on a street'

each hoses has an address between 1000 and 1099

There are 51 residences and 1000 possible addresses, according to the pigeon hole principle. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Giving houses even numbers (leaving odd addresses as the buffer address) There are now 1000=50 addresses that can be used.

According to the pigeon hole principle, there must be at least one box that contains at least N

k things if N objects are put into k boxes.

Because of this, it is impossible to assign 50 distinct addresses to 51 separate homes without utilising a single consecutive integer.

So, at least one instance of a home must have consecutive integers, which.

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There are 2 houses that have at least consecutive integers .

According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m.

According to the pigeonhole principle, if there are more pigeons than there are pigeonholes, then at least one pigeonhole must hold more than one pigeon. Although the underlying idea is clear, the ramifications are staggering. The explanation is that the principle establishes the reality (or absence) of a certain phenomena.

There are potential residences and addresses. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Houses are given even numbers, leaving odd addresses as the buffer address. As a result, we now have

50

addressable addresses

According to the "pigeon hole concept," if items are put into boxes, then there must be at least one box that contains at

[N/k]object.

As a result, it is impossible to assign distinct addresses to several dwellings without using at least one consecutive number.

Since there must be at least two homes with consecutive integer addresses, there must be at least one instance of consecutive integer addresses for houses.

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Answer:

Domain:(−∞,∞),{x|x∈R}  

Range:(−∞,∞),{y|y∈R}

Step-by-step explanation:

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Sipho made two misconceptions in his calculation. Firstly, he incorrectly calculated 35 ÷ 14 as 5/2 instead of 2.5. Secondly, he subtracted a fraction from a whole number instead of converting the fraction to a decimal first.

Sipho was given the sum 4310− 35÷14 to calculate. Let's analyze each step that Sipho did and identify any misconceptions:

Step 1: 35 ÷ 14 = 5/2

Misconception: Sipho seems to have divided 35 by 14 and obtained the result as a fraction of 5/2. However, this is incorrect. The correct result is 2.5. It appears that Sipho made a mistake while dividing 35 by 14.

Step 2: 4310 - 5/2

Misconception: Sipho subtracted the result of 35 ÷ 14 from 4310. However, since he obtained the result as a fraction, he should have converted it to a decimal first before subtracting. The correct calculation would have been 4310 - 2.5 = 4307.5.

Therefore, Sipho made two misconceptions in his calculation. Firstly, he incorrectly calculated 35 ÷ 14 as 5/2 instead of 2.5. Secondly, he subtracted a fraction from a whole number instead of converting the fraction to a decimal first.

It is essential to understand the basic principles and operations of Mathematics to avoid such errors. Careful attention to detail, practice, and clarification of doubts can help in avoiding such misconceptions.

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The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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Answer:

2.7027027027027027

Step-by-step explanation:

1,000 grams make a kilogram

Ans: 2/3

Step-by-step explanation:

Formula : \(m = \frac{y2 - y1}{x2- x1}\)  (Then replace the number in )

= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3

Step-by-step explanation:

the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, when going from (-2, -1) to (4, 3)

x changes by +6 (from -2 to 4).

y changes by +4 (from -1 to 3).

therefore, the slope is

+4/+6 = 4/6 = 2/3

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Option (b) is the correct answer. Minimum usual value: 54.65

Maximum usual value: 79.92.

The given values are n = 267 and p = 0.239. The minimum usual value and the maximum usual value are to be calculated. We use the formula of the mean and the standard deviation for this purpose:

Mean = µ = np = 267 × 0.239 = 63.93Standard Deviation = σ = sqrt (npq) = sqrt [(267 × 0.239 × (1 - 0.239)] = 5.01The minimum usual value is obtained when the z-value is -2, and the maximum usual value is obtained when the z-value is +2. We use the z-score formula: z = (x - µ) / σwhere µ = 63.93 and σ = 5.01(a) When the z-value is -2, x = µ - 2σ = 63.93 - 2(5.01) = 53.91(b) When the z-value is +2, x = µ + 2σ = 63.93 + 2(5.01) = 73.95

Therefore, the minimum usual value is 53.91, and the maximum usual value is 73.95 (rounded to the nearest hundredth).

Thus, option (b) is the correct answer. Minimum usual value: 54.65Maximum usual value: 79.92.

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The given values are: n=267, p=0.239

We need to find the minimum usual value and the maximum usual value using these values of n and p.

Let X be a random variable with a binomial distribution with parameters n and p.

The mean of the binomial distribution is:μ = np

The standard deviation of the binomial distribution is:σ = sqrt(npq)where q = 1-p

Let X be a binomial distribution with parameters n = \(267 and p = 0.239μ = np = 267 × 0.239 = 63.813σ = sqrt(npq) = sqrt(267 × 0.239 × 0.761) = 6.788\)

The minimum usual value is given by:\(μ - 2σ = 63.813 - 2 × 6.788 = 50.236\)

The maximum usual value is given by:\(μ + 2σ = 63.813 + 2 × 6.788 = 77.39\)

Thus, the minimum usual value is 50.24 and the maximum usual value is 77.39(rounded to the nearest hundredth).

Therefore, the answer is:Minimum usual value: 50.24, Maximum usual value: 77.39

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Answer:

Yes, a good way to tell is if I multiply 1 by 5 it will make 5, 2 by 5 makes 10 and so on.

Step-by-step explanation:

Answer:

Mandy is wrong.

Step-by-step explanation:

She is wrong!

...because based on the table this is a proportional relationship since those are equivalent fractions 5/1=10/2=25/5=50/10.

Equivalent fractions equal the same value.  

5/1 = 5, 10/2 = 5, 25/5 = 5, 50/10= 5

Mandy had the wrong conclusion because she wrote the relation wrong.

y/x = 5/1 = 10/2 = 25/5 ≠ 10/50

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The value of k could be 48, 49, 50, 51, or 52, as these all result in the fractions being in lowest terms.

To further explain, let's look at each of the possible values of k and see how they result in the fractions being in lowest terms:

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Applying the secant-tangent theorem, the length of DE is: 25.

The secant-tangent theorem states that when a secant and a tangent intersect outside a circle, the square of the tangent segment equals the product of the secant and its external segment.

Given the following:

Applying the secant-tangent theorem, we would have:

AE² = CE × DE

Let DC = x

DE = x + 9

Plug the values into the equation:

15² = 9 × (x + 9)

225 = 9x + 81

225 - 81 = 9x

144 = 9x

144/9 = x

x = 16

DE = x + 9

Plug in the value of x

DE = 16 + 9

DE = 25.

Therefore, applying the secant-tangent theorem, the length of DE is: 25.

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Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

\(\frac{225}{20}\) = x , that is

x = \(\frac{45}{4}\) → E

The value of the x in the given triangle is 45/4.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

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Answer:

The first option will be your answer

Step-by-step explanation:

A. q(x) = f(x - 2)

have a nice day!!

Answer:

The base is 9.4 milliliters

Step-by-step explanation:

First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4

The base is 9.4 milliliters.

Answer:

9.7

Step-by-step explanation:

P=2B+2H=51.4

B+H=25.7

H=16

B=25.7-16

B=9.7

In permutation, ³¹C₅  are there to select 5 scoops of ice cream to put into a bowl .

What are some examples of permutation?

Total ice cream flavor n = 31 flavor

selection of (r) = 5 scoop

total number of ways to select 5 scoops of ice cream from 31 flovers

                                                   = ³¹C₅

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Answer:

b(x) = 4x + 1

Step-by-step explanation:

If x starts from 1, we can give the equation as follows:

b(x) = 4x + 1

Let's check it, for the first one

x = 1, b(x) = 5

for the second, x = 2, b(x) = 4(2)+1 =9

Answer: 0.8? i'm not sure lol check explaination

Step-by-step explanation:
slope formula: y2-y1/x2-x1
5-1/3-(-2)=4/5=0.8

Answer:

-4

Step-by-step explanation:

Looking at a number line, the more you go left, the less the numbers are.

Hence the number line would look something like this:

.. -6 .. -5.. -4 .. -3 .. -2 .. -1 .. 0 .. 1 .. 2 .. 3 .. 4 ..

Hence: -4 is less than -3 because it is on the left side of -3

Answer:

117649

Step-by-step explanation:

hope this helps :)

Answer:

117649

Step-by-step explanation: