What must be added to the polynomial 2x³ 3x² 8x so that it leaves a remainder 10 when divided by 2x 1?

Answer:

the correct answer is 7√3

Answer:

  24

Step-by-step explanation:

You want to know the number such that the triple of the number added to its half part is equal to the difference between four times the number and 12.

The given relation can be expressed in math symbols as ...

  3n +n/2 = 4n -12

Adding 12 -n/2, we get ...

  12 = n/2

  24 = n . . . . . multiply by 2

The number is 24.

Since the tallest man is a lone individual, he can only take a seat in the center. The four other men can sit in 4! = 24 different positions.

We'll take pictures of five people standing in a row, all of varying heights. The tallest individual must be in the middle, so. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The likelihood that an event will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely alternatives that result in a given occurrence. Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. If we throw a coin into the air,

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Answer:yes

Step-by-step explanation:

yes

Answer:

Starbursts = 12 dollars

M&M = 2 dollars

1. Make Startbursts and M&Ms into "x"

(a) 1x + 2x = 12

2. 3*1= 3

4+2x=12

(b) 4 packs

Answer:

Step-by-step explanation:

Conversion a mixed number 2 1/

3

to a improper fraction: 2 1/3 = 2 1/

3

= 2 · 3 + 1/

3

= 6 + 1/

3

= 7/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Conversion a mixed number 3 3/

4

to a improper fraction: 3 3/4 = 3 3/

4

= 3 · 4 + 3/

4

= 12 + 3/

4

= 15/

4

To find new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

4

= 12/

4

b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15

c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters

Multiple: 7/

3

* 15/

4

= 7 · 15/

3 · 4

= 105/

12

= 35 · 3/

4 · 3

= 35/

4

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(105, 12) = 3. In the next intermediate step, , cancel by a common factor of 3 gives 35/

4

.

In words - seven thirds multiplied by fifteen quarters = thirty-five quarters.

Compare: the result of step No. 3 vs 35/

4

= 35/

4

vs 35/

4

= 35 vs 35 = Yes

Answer:

Step-by-step explanation:

So if you do 2 * 1 you get 7

if you then do 12 * 69 you get 420

the answer is 8 3/4

Answer:

c = 25m + 40

Step-by-step explanation:

It becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.

Logarithms arise in problems of exponential growth

and decay because they are inverses of exponential functions. Because of the Laws of Logarithms, they also turn out to be useful in the measurement of the loudness of sounds, the intensity of earthquakes, and other processes that occur in nature

We can write an exponential function to represent the situation.

We know that the current population is 100,000.

The population doubles each day.

The standard exponential function is given by P(t) = A (2)^t

Since our current population is 100,000, a = 100000.

Since our rate is doubling, r = 2.

So

P(t) = 100000 (2)^t

We want to find the population five days ago.

So, we can say that t = -5. The negative represent the number of days that has passed.

Therefore

P(-5) = 100000 (2)^-5 =100000*(1/32) =3125

However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.

We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:

P(t) = A (2)^t

After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:

100000 =A[tex]2^5[/tex]

And solving for A, we acquire     :[tex]\frac{100000}{2^5}[/tex]

                                                      =3125

So, our function in terms of the original day is:

P(t) = 3125 (2)^t

So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.

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The number of terms in the expansion of [tex](2x^3y^2)(2x^2y^3)[/tex] is 12.

When expanding the product of two polynomials, the number of terms in the expansion is equal to the product of the number of terms in each polynomial. In this case, the first polynomial has 1 term (2x^3y^2) and the second polynomial has 1 term (2x^2y^3), so the number of terms in the expansion will be 1*1=1.

A polynomial function is one in which the variable's non-negative integer powers or positive integer exponents are the only parts of the equation. Examples of polynomial functions include quadratic, cubic, and other equations. An example of a polynomial with an exponent of 1 is 2x+5.

However, the expression provided is not a polynomial, it is a number.

[tex]2x^3y^2 * 2x^2y^3 = 4x^5y^5[/tex]

It is just one term.

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The Correct change to make the Equation correct is Change (x+5) to (x−5).

The Correct option is (C).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

12(2x+6)+4(x+5)=5x−17

28x + 72= 5x-17

23x = 109

x= 4.73

First, change (2x+6) to 12(2x−6).

12 (2x - 6) + 4(x+5) = 5x- 17

24x - 72 +4x +20 = 5x- 17

28x -52 = 5x- 17

23x = 35

x= 1.52

Now, Change (x+5) to (x−5).

12 (2x + 6) + 4(x-5)  = 5x- 17

24x + 72 +4x -20  = 5x- 17

28x + 52  = 5x- 17

23x = 69

x=3

Hence, Change (x+ 5) to (x-5).

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Answer:

The answer is 3036.7

Have a great day

Answer:

a: School W is has the most consistent attendance

b:  School W has the highest average attendance

Step-by-step explanation:

For a:

The most consistent school will be the school whose data has the smallest variance.  *Consistent doesn't mean the best, it's just the least differing among it's own data.  The variance tells us how spread out the data is, so the school with the smallest variance is the most consistent.  

See photo 1 for the calculations of the variances of each school...

For b:

Take the mean for each school.  Whichever has a higher value is the school with the highest average.  

See photo 1 for the calculations if the means for each school.  (the mean is used to calculate variance, so we will do this part first)

Answer:

I don't see any models maybe you show attach a picture on the question

Step-by-step explanation:

The 5 ways to solve problems are identifying the problem, generating different solutions, choosing one solution, implementing the chosen solution and evaluating the result.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

There are 5 different steps to solving a problem

Step 1. Identify the Problem

Step 2. Generate potential solutions

Step 3. Choose one solution

Step 4. Implement the solution you’ve chosen

Step 5. Evaluate results

Sometimes it is required to start the process entirely over. To make the problem-solving process easier, it’s best to facilitate the solution as much as possible. Try to concentrate on the solution instead of the problem. Finally, be in the correct psyche to want to change. This contains having the right mindset language, both are positive and open-minded. With sufficient practice, any problem can be solved.

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Answer:

25x^6y^2

Step-by-step explanation:

Since it is a square all sides are the same. So you multiply 5x^3y and 5x^3y together to get the area. That would get you 25x^6y^2.

Answer:

C)

Step-by-step explanation:

After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be  E = 20H.

After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be

E = 20H.

We would enter H = 17

into the formula to get Mai's pay after 17 hours of tutoring.

E = 20 × 17 E = $340 is the result.

The complete question is:

Mai tutors history. For each hour that she tutors, she earns 20 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H . Then use this equation to find Mai's earnings after tutoring for 17 hours.

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Answer:

D.

Step-by-step explanation:

Answer: D is the correct answer

Step-by-step explanation:

I learned this last year and got a 100 on the subject

Answer:

The missing side length is 12.

Step-by-step explanation:

The rectangular prism in figure 2 has the same volume of 108 m².

Given that the square prism's measurements are as follows:

area = 36 m²

h = 3 m

As a result, the volume of this prism is equal to side² h = area h = 36 3 = 108 m2.

Now, we'll figure out how much each prism in the image is worth.

1) Because it is a right-angled tent or prism, the volume calculation will be

V = 1/2 (base length base width) Height

= 1/2×(3×2×6) = 36/2 = 18 m²

2. Volume of a rectangular prism is equal to length, width, and height, which is 2 18 3 = 108 m2.

3. A tent's or prism's volume is equal to half of its base's length, width, and height

= 1/2×4×9×3 = 1/2×108 = 54 m²

Consequently, the rectangular prism in figure 2 has the same volume of 108 m2.

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A unit for each quantity in the worksheet for the mat width are 5.357 inches.

The size of a rectangle. A = l × b. Once the length and width are known for any rectangle, the area may be determined. The area of the rectangle is calculated as a square-unit dimension by multiplying length and width.

Add the height and the width together to get the area of a rectangle. Given that each side of a square is the same length, all you need to do to determine its area is multiply the length of one of its sides by itself.

Length = 7 inches  

Width = 6 inches

Area of photograph = length  width = 7  6 = 42

Total area of photograph and frame = 84

frame length ( 7 + 2x)

frame width ( 6 + 2x)

Total area = Total area of photograph and frame

( 7 + 2x)  ( 6 + 2x) = 84

2 + 13x - 21 = 0

x = 5. 357

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Answer:

5.) B 6.) A

Step-by-step explanation:

A(Rhombus) = 1/2(9)(12) = 54 cm²

The error that Maria likely make is that she subtracted 1n from 5n.

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The value of the expression will be:

= -4n +3+9n-4

= 5n - 1

The error was because 1n was minus from 5n

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Answer:

x = 6

Step-by-step explanation:

The two triangles are similar so to find x we can use similarity ratio

x/18 = 8/24 cross multiply fractions

24x = 144 divide both sides by 24

x = 6

The value of x in 2(5x)=14 is 1 2/5.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

When converting a mixed fraction to an improper fraction, the denominator and the whole number are multiplied, the product is added to the numerator, and the sum is written as the numerator and denominator.

2(5x) = 14

10x = 14

x = 14/10

Simplify the fraction, by turning it into a mixed number.

x = 1 4/10

Simplify the equation by dividing it by 2, so that it is in simplest form.

x = 1 2/5

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Answer:

137 ft^2

Step-by-step explanation:

The triangle has base 3 ft and height 6 ft; its area is A = (1/2)(base)(height), which here is A = (1/2)(3 ft)(6 ft) = 9 ft^2.

The lower, rectangular area has length 16 ft and width 8 ft, and thus it has the area (16)(8) ft^2, or 128 ft^2.

The total area of this irregular shape is A = 9 ft^2 + 128 ft^2  =  137 ft^2

Answer:

6. 21.0°

7. 39.6°

8. 58.0°

9. 72.9°

Step-by-step explanation:

6. Reference angle (θ) = x°

Hypotenuse = 15

Adjacent = 14

Apply CAH:

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Plug in the values

[tex] Cos(x) = \frac{14}{15} [/tex]

[tex] x = Cos^{-1}(\frac{14}{15}) [/tex]

x ≈ 21.0° (nearest tenth)

7. Reference angle (θ) = x°

Opposite = 19

Adjacent = 23

Apply TOA:

[tex] Tan(\theta) = \frac{Opposite}{Adjacent} [/tex]

Plug in the values

[tex] Tan(x) = \frac{19}{23} [/tex]

[tex] x = Tan^{-1}(\frac{19}{23}) [/tex]

x ≈ 39.6° (nearest tenth)

8. Reference angle (θ) = x°

Hypotenuse = 17

Adjacent = 9

Apply CAH:

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Plug in the values

[tex] Cos(x) = \frac{9}{17} [/tex]

[tex] x = Cos^{-1}(\frac{9}{17}) [/tex]

x ≈ 58.0° (nearest tenth)

9. Reference angle (θ) = x°

Opposite = 43

Hypotenuse = 45

Apply SOH:

[tex] Sin(\theta) = \frac{Opposite}{Hypotenuse} [/tex]

Plug in the values

[tex] Sin(x) = \frac{43}{45} [/tex]

[tex] x = Sin^{-1}(\frac{43}{45}) [/tex]

x ≈ 72.9° (nearest tenth)

Answer:

r = 9.77205024 yds

Step-by-step explanation:

Answer: $49

Step-by-step explanation:

2.5% of 40 = 1, 9x1= 9, 40+9 = $49