what is the difference of the polynomials (4x-x^3+3)-(2x^2-3x^3+1

2/5 ÷ 3/7

= 2/5 × 7/3

= 2 × 7/5 × 3

= 14/15

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/7 is 7/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.

Answer:

here to try to help!

Step-by-step explanation:

346.96 why? Kerry was not payed at the overtime for extra hours hope it helped!

Answer:

7/24

Step-by-step explanation:

two minuses make a +,

meaning this equation is basically

-1/12+3/8

find a common denominator by LCM.

8,16,24,32

12,24,36,48

they share 24

denominator is 24

12*2 is 24, -1*2 = -2. 8*3 = 24 so we do 3*3 = 9

-2+9/24

7/24

Using the concepts of domain and range of functions, we have that:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

Hence, for these problems:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.

In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.

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To indicate values in a data set that are above or below the average monthly order totals use AVG([Order Total]). Thus, option (D) is correct.

AVG([Order Total]): This expression calculates the average of the "Order Total" values in your data set. The average is simply the sum of all the order totals divided by the number of data points.

SUM([Order Total]) calculates the total sum of all order totals.

AVG([Order Total]) then divides that sum by the number of data points to find the average.

Now, to determine which values are above or below the average monthly order totals:

Thus, option (D) is correct.

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The question attached here seems to be incomplete, the complete question is:

Which calculation would you use to indicate values in a data set that are above or below the average monthly order totals?

Select an answer:

AVG(SUM [Order Total])

SUM({Order Total])

SUM(AVG [Order Total])

AVG([Order Total]

Multicollinearity can be defined as when two independent variables are correlated, multicollinearity occurs. Reason: Only the interactions between the independent variables are considered multicollinear.

Multicollinearity is the prevalence of excessive intercorrelations amongst or extra impartial variables in a more than one regression model. Multicollinearity: Multicollinearity exists whilst or extra of the explanatory variables are extraordinarily correlated.

This is a hassle as it could be tough to disentangle which ones first-rate explains any shared variance with the outcome. It additionally indicates that the 2 variables may also in reality constitute the identical underlying factor. Multicollinearity takes place whilst or extra impartial variables are extraordinarily correlated with each other in a regression model. This method that an impartial variable may be anticipated from any other impartial variable in a regression model.

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The Annuity payment will be "65,209.35 Taka". A further solution is provided below.

Given:

Monthly payment,

= 3000 Taka

Interest rate,

= 6% (compounded monthly)

Time,

= 18 years

The Future value will be:

→ \(FV = PMT\times \frac{((1+r)^{nt}-1)}{r}\)

By putting the values, we get

         \(=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }\)

         \(=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }\)

         \(=1,162,059.58 \ Taka\)

hence,

The Annuity payment will be:

→ \(P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}\)

      \(=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}\)

By substituting all the values, we get

      \(=65,209.35 \ Taka\)

Thus the correct answer is "65,209.35 Taka".

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Answer:

245

Step-by-step explanation:

b3ecause the estation of mars is diferen to the eath so is 245 the sincunference of tis question you welcome

Answer:

Alice = 5

Bruce = 9

Chuck = 13

Step-by-step explanation:

alice= x

Bruce = y

Chuck = z

x+y+z= 27

x+y= 14

therefore z= 27-14= 13

Chuck = 13

y+13 (z) = 22

therefore y = 22-13= 9

Bruce = 9

9+13= 22

therefore x= 27 - 22= 5

Alice = 5

confirmation

5 + 9 + 13 = 27

5+9= 14

9 + 13 = 22

Each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

Given that,

Based on the above information, the calculation is as follows:

x + y + z =  27

x + y =  14

So,

z =  27 - 14

= 13

i.e. Chuck = 13

Now  

y + 13 (z) = 22

So,

y = 22 - 13

= 9

i.e. Bruce = 9

Now

9+13= 22

So,

x = 27 - 22

= 5

i.e. Alice = 5

Therefore we can conclude that each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

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The scalar projection of x onto y is 10, and the dot product of x and y is 240.

The scalar projection of x onto y is given by the formula:

proj_y x = |x| cos(θ),

where |x| is the length of x, cos(θ) is the cosine of the angle between x and y, and proj_y x is the scalar projection of x onto y.

So we have:

proj_y x = |x| cos(θ) = 18 (5/9) = 10.

The dot product of x and y is given by the formula:

x · y = |x| |y| cos(θ),

where |x| and |y| are the lengths of x and y, and cos(θ) is the cosine of the angle between x and y.

So we have:

x · y = |x| |y| cos(θ) = 18 × 24 × (5/9) = 240.

Therefore, the scalar projection of x onto y is 10, and the dot product of x and y is 240.

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x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

1/12 mi/min = 0.083 mi/min

Step-by-step explanation:

From the question given above, we obtained the following information:

Distance (d) = 5/6 mile

Time (t) = 10 mins

Speed (S) =?

Speed is simply defined as the rate of change of distance moved with time. It can be represented mathematically by the following equation:

Speed (S) = Distance (d) / time (t)

S = d/t

With the above formula, we can calculate Ellie's speed as follow:

Distance (d) = 5/6 mile

Time (t) = 10 mins

Speed (S) =?

S = d/t

S = 5/6 ÷ 10

S = 5/6 × 1/10

S = 5/60

S = 1/12 mi/min = 0.083 mi/min

Therefore, Ellie's speed is 1/12 mi/min.

Ellie speed in miles per minute is 1 / 12

Speed is a scalar quantity with only magnitude and no direction. Speed measures how fast an object is in motion.

Speed is represented mathematically as follows:

speed = distance /time

Ellie covers 5/6 miles in 10 minutes. Therefore,

distance = 5/6 miles

time = 10 minutes

Speed = \(\frac{\frac{5}{6} }{10}\) = \(\frac{5}{6}\) ×\(\frac{1}{10}\) = \(\frac{5}{60}\) = \(\frac{1}{12}\) miles per minutes

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The answer choice which is most appropriate to describe the center of the data as represented is; Median.

It follows from the task content that the stemans leaf plot shown in the task content is such that;

It contains outliers such as 5.1 and 4.2 and hence, the median best appropriates the central of the data distribution as it is minimally influenced by the extremes of data.

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Answer: 42.5 degrees

Step-by-step explanation:

Sin= Opposite/hypotenuse or Height/ String length

when we don't know the angle we use sin^-1(OPP/HYP) so sin^-1(25/37)= 42.51

Answer:

x = 16

y = 10

Step-by-step explanation:

See attached worksheet.

Answer:

Simplifying

5x + 12 = -13

Reorder the terms:

12 + 5x = -13

Solving

12 + 5x = -13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 5x = -13 + -12

Combine like terms: 12 + -12 = 0

0 + 5x = -13 + -12

5x = -13 + -12

Combine like terms: -13 + -12 = -25

5x = -25

Divide each side by '5'.

x = -5

Simplifying

x = -5

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

5x = -13 - 12

5x = -25

x = -25/5

x = -5

1. > (greater than) is used when the first number is greater than the second number. This symbol can be used in the form of an equation or inequality. For example, \(7 > 3, or 2x + 3 > 7x – 2.\)

2. < (less than) is used when the first number is less than the second number. This symbol can also be used in the form of an equation or inequality.
For example, \(3 < 7 or 2x + 3 < 7x – 2.\)

3. ≤ (less than or equal to) is used when the first number is less than or equal to the second number. This symbol can be used in the form of an equation or inequality.
For example,\(3 ≤ 3 or 2x + 3 ≤ 7x – 2.\)

4. An equal amount of force is used to hold a heavy object in place as to move a lighter object across the same surface. In other words, if there are two boxes of different weights, the same amount of force is required to move them across the same surface.

5. f = 0 (the force is zero) means that there is no force. F N = 0 (the normal force is zero) means that there is no normal force, and a = 0 (acceleration is zero) means that there is no acceleration.

6. The roughness of the surface depends on the angle of the incline. The larger the angle, the rougher the surface. If the angle is small, the surface is smoother.

7. The frictional force is parallel to the floor. The normal force is directed perpendicular to the incline. The weight is directed along the incline, and the weight is equal to the normal force. The frictional force is equal to the weight multiplied by the coefficient of friction.

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Answer:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563

The area of a square is the square of its side lengths

The area of square B is 116 centimeter square

Let the side length of square A be (a), and the side length of square B be (b)

So, we have:

\(\mathbf{A_a = a^2}\)

\(\mathbf{A_b = b^2}\)

From the question, we have:

\(\mathbf{A_b = 70 + a^2}\)

\(\mathbf{b = 4 + a}\)

Take square of both sides

\(\mathbf{b^2 = (4 + a)^2}\)

\(\mathbf{b^2 = 16 + 8a+ a^2}\)

Substitute \(\mathbf{b^2 = 16 + 8a+ a^2}\) in \(\mathbf{A_b = b^2}\)

\(\mathbf{A_b = 16 + 8a+ a^2}\)

So, we have:

\(\mathbf{16 + 8a+ a^2 = 70 + a^2}\)

Subtract a^2 from both sides

\(\mathbf{16 + 8a = 70}\\\)

Subtract 16 from both sides

\(\mathbf{8a = 54}\)

Divide both sides by 8

\(\mathbf{a = 6.75}\)

Recall that:

\(\mathbf{A_b = 70 + a^2}\)

So, we have:

\(\mathbf{A_b = 70 + 6.75^2}\)

\(\mathbf{A_b = 115.5625}\)

Approximate

\(\mathbf{A_b = 116}\)

Hence, the area of square B is 116 centimeter square

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Answer:

The interest is $5.80

Step-by-step explanation:

Here, we want to

calculate the interest on $580 for 6 months at a rate of 2%

Mathematically, we use the formula;

I = PRT/100

As T is not up to a year, we did use by 12 which is 6/12 = 0.5

P = 580

R = 2%

Substituting these values in the interest formula, we have;

I = (580 * 2 * 0.5)/100 = $5.80

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Answer:

The answer is C. 418cm2

Step-by-step explanation:

Answer:

AC = 526,5

Step-by-step explanation:

use Law of Sines

sin 41.82°/381 = sin 67.82°/AC

.67AC = 352.8

AC = 526.5

Answer:

do i solve for y or x

Step-by-step explanation:

Answer:

The answer is y = 2x + 3 This is the right answer

Answer:

Option B.

Step-by-step explanation:

We have to find the quotient of the expression \((3x^4+6x^3+2x^2+9x+10)\) when divided by (x + 2) by synthetic division.

-2 | 3     6     2     9     10

   | ↓    -6     0    -4    -10

     3     0     2     5     0

Solution of the synthetic division will be = (3x³ + 2x + 5)

Therefore, quotient after division will be, (3x³ + 2x + 5) and the remainder is 0.

Therefore, (3x³ + 2x + 5) will be the answer.

Option (B) will be the correct option.

Answer:

B

Step-by-step explanation:

I did the work and this one is very tough

Answer:

1 1/4 pounds.

Step-by-step explanation:

The ratio of beef to pork is 3:1. What this means is that out of the 5 pounds of meat Mike will use for his meatloaf, 3 parts of it will be beef and 1 part will be pork, which gives us four parts total.

So the ratio of pork to total meat would be 1:4, or 1/4. Now we need to multiply 5 by 1/4 in order to get the amount of pork. Since multiplying by 1/4 is the same as dividing by 4, we can just divide to make things simpler.

\(p = 5 \times \frac{1}{4} \\ p = \frac{5}{4} \)

The answer, expressed as an improper fraction, is 5/4. However, the question is asking for a mixed number, so we'll need to convert our answer. We just need to subtract from the numerator so that the fraction is equal to 4/4.

\( \frac{5}{4} - \frac{4}{4} = \frac{1}{4} \)

Since 4/4 is equivalent to 1, we'll just simplify this further.

\(p = \frac{4}{4} + \frac{1}{4} \\ p = 1 \frac{1}{4} \)

Answer:

7n is greater than or equal to 21

t4+10

Step-by-step explanation:

The probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173 and the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

What is probability?

Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring.

Probability that exactly five students contract a stomach virus:

Using the binomial probability formula, we have:

\(P(X = 5) = (12C5) * (0.23^5) * (0.77^7)\)

\(P(X = 5) = (792) * (0.23^5) * (0.77^7)\)

P(X = 5) ≈ 0.2173 (rounded to four decimal places)

Therefore, the probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173.

Probability that more than two students contract a stomach virus:

We need to calculate the probabilities of three, four, and five students contracting a stomach virus and then sum them up.

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each case:

\(P(X = 3) = (12C3) * (0.23^3) * (0.77^9)\\\\P(X = 4) = (12C4) * (0.23^4) * (0.77^8)\)

P(X = 5) ≈ 0.2173 (calculated previously)

Now, let's calculate each probability and sum them up:

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

\(P(X > 2) = (12C3) * (0.23^3) * (0.77^9) + (12C4) * (0.23^4) * (0.77^8) + 0.2173\)

P(X > 2) ≈ 0.4866 (rounded to four decimal places)

Therefore, the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

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a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function. Domain: {1,2,3,4}. Range: {4,5,6,7}.b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function due to multiple outputs for input -3.

a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function because each input value (x) has a unique output value (y). The domain of the function is {1,2,3,4}, which includes all the x-values. The range is {4,5,6,7}, which includes all the corresponding y-values. In this case, for each x-value, there is only one y-value associated with it.

b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function because the input value -3 is associated with two different output values, 9 and 8. In a function, each input value should have a unique output value, but in this case, the input -3 has two different outputs, violating the definition of a function.Therefore, the relation in (a) represents a function with a defined domain and range, while the relation in (b) does not represent a function due to the presence of multiple outputs for a single input.

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Answers:

===============================================

Explanation:

We're told that

cos(B) = 9/41

Since the cosine ratio involves adjacent/hypotenuse, we can see that the adjacent side is 9 and the hypotenuse is 41. For angle B, the adjacent side is the leg closest to the angle in question. So that would be side AB.

Therefore, AB = 9 and BC = 41 are the adjacent and hypotenuse for reference angle B.

Apply the pythagorean theorem to solve 9^2+x^2 = 41^2, and you should get x = 40. This is the other leg of the triangle. Or you could note how tan(C) = 9/40 to imply that AC = 40 is the adjacent side for reference angle C.