Mathematics College

What’s the difference for this equation!!!

Answers

Answer 1

–(x^2–2x+12) would become –x^2+2x–12.

3x^2+9x+13 – x^2+2x–12

= 2x^2 + 11x – 1

Answer 2

Answer:

2x^2 + 11x – 1

Step-by-step explanation:

Related Questions

A plane traveled 960 miles each way to Jakarta and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?

Answers

Answer:

Wind speed = 40 km/hr

Speed of the plane in still air = 280km/hr

Step-by-step explanation:

Formula to use

Distance = Rate multiplied by Time

D = R × T

Speed of the plane in still air = a

Speed of the wind = b

Plane with the wind (tailwind) is a + b where the time = 3hours

Plane against the wind is a - b, where the time = 4hours

This would give us 2 equations

3 × (a+ b) = 960

3a + 3b = 960 ...... Equation 1

4 × (a- b) = 960

4a - 4b = 960 ........ Equation 2

Solve this like you would with system of equations:

We solve the equation using elimination method.

Mulitply equation 1 by 4 and equation 2 by -3

4 × (3a + 3b = 960)

12a + 12b = 3840 ..... Equation 4

-3 × (4a- 4b = 960)

-12a + 12b= -2880 ........ Equation 5

Therefore we have

12a + 12b = 3840 ..... Equation 4

-12a + 12b= -2880 ........ Equation 5

24b = 960

b = 960÷ 24

b = 40

Wind Speed = 40km/hr

To find the speed of air, we use equation 2

4a - 4b = 960 ........ Equation 2

Substituting 40 which is wind of speed for b in equation 2 we would have

4a - 4(40) = 960

4a - 160 = 960

4a = 960 + 160

4a = 1120

a = 1120 ÷ 4

a = 280

The speed of the small plane in still air is 280 km/hr

A watch band is 8 in long. What is its diameter when you wrap it around your wrist? Round your answer to the nearest
hundredths.
Please be accurate and explain.

Answers

Answer:

well, all you need to do is 8 x 3.14 so then you shall get your answer!

Step-by-step explanation:

The diagonal of an isosceles trapezoid with angle to the base is equal to 30. Find the length of the height of the trapezoid if it is known that the midline of this trapezoid is equal to 8 cm.

Answers

Answer:

4.62 cm to nearest hundredth.

Step-by-step explanation:

If the parallel sides are x and y then:

x + y = 2*8 = 16

x + y = 16

If we drop a perpendicular line from one of the upper points on the trapezoid we have the height. Let the upper point be C and the point on the base be A. Let the point on right of the base be B.

AC is the height of the trapezoid. AB is the baseline of the triangle CAB.

In triangle CAB the angle B is 30 degrees.

As this is a 30-60-90 degree triangle

AC/AB = 1/√3 so AC = AB/ √3.

As the trapezoid is isosceles:

AB = x + 0.5(y - x)

AB = 0.5x + 0.5y

So AC = 1 /√3 (0.5x + 0.5y)

= 1 /√3 (0.5x + 0.5(16 - x)) (Substituting for x)

= 1 /√3 (0.5x + 8 - 0.5x)

=8 / √3

. = 4.6188 cm

The owner of a small store buys coats for 55.00 each

He sells the coats for 66.00 each

Answers

he must buy 24 jackets to get atheist 260 dollars

What is the value of a on the triangle below?

Answers

Answer: answer 56 I’m the goat lol

Step-by-step explanation:

subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56

Please look for the question in the picture.

Answers

it will be c

negative with negative erased together

Factorize the expressions
px2 + qx

Answers

Answer:

SOLUTION

HERE,

=X(P.2+Q)

=X(2P+Q)

Answer:

x(px+q) ( I took x as a common and the remaining are some

Please look for the question in the picture.

Answers

the answer for this question is a: -9/-8

Please help me answer

Answers

Answer: Second Choice

Step-by-step explanation:

a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum strength and thus unacceptable. what is the probability that fewer that 5 in a sample of 20 pills will be acceptable?

Answers

Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

The sample has 20 pills, hence [tex]n = 20[/tex].100 - 4 = 96% are acceptable, hence [tex]p = 0.96[/tex]

The probability that fewer that 5 in a sample of 20 pills will be acceptable is:

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0[/tex]

[tex]P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0[/tex]

[tex]P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0[/tex]

[tex]P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0[/tex]

[tex]P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0[/tex]

0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

A similar problem is given at https://brainly.com/question/24863377

For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank. 4+ x = 7

Answers

Answer:

x=33

Step-by-step explanation:

you move the 4 to the other side

x=7-4

x=3

Answer:

x=3

Step-by-step explanation:

This should be easy.

4+x=7

-4 -4

x=7-4

x=3

Word explanation:

Here, we're solving for the variable x, first, we need to isolate x and therefore subtract 4 on both sides, 7 minus 4 is 3, so x is equal to 3.

Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=

Answers

Answer:

8,5

Step-by-step explanation:

BC=AD-AB

BC=10,5-2

BC=8,5

11. The profit Samantha's company makes is
given by the expression 0.1(1000 + 300m)
where m is the total number of sales.
Rewrite the expression using the distributive
property. What is the profit if her company
sells 50 pieces of merchandise?

Answers

Answer: 0.1(1000 + 300m)

Use the distributive property: a x (b + c) = a x b + a x c

0.1 x 1000 + 0.1 x 300m

Evaluate both products: 100 + 30m (1)

Note: Multiplying a number by 0.1 is the same as dividing the number by 10.

We need to determine the profit when 50 pieces are sold.

Substitute m with 50 in equation (1).

100+30(50)

Evaluate product: 100 + 1500

Evaluate sum" 1600

Thus the profit is $1600.

Step-by-step explanation: I hope this helps you on any other problem! :)

Good Luck!

write an equivalent expression for 3(2z+4)

Answers

The answer is : 6z+12

Answer:

6z+12

Step-by-step explanation:

you distribute it

Tom and Rosie are designing a game. In each turn, a player rolls five 666-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=51+1+1+1+1=51, plus, 1, plus, 1, plus, 1, plus, 1, equals, 5 points, and the highest is 6+6+6+6+6=306+6+6+6+6=306, plus, 6, plus, 6, plus, 6, plus, 6, equals, 30 points. They let XXX represent the sum in a given turn, and they find the expected value of XXX is E(X)=17.5E(X)=17.5E, left parenthesis, X, right parenthesis, equals, 17, point, 5 points. Tom says, "A player will most likely get 17.517.517, point, 5 points in any given roll." Rosie says, "Over 100100100 turns, we can expect a total of about 175175175 points." Whose statement is correct based on the expected value?

Answers

Answer: neither statement is correct

Step-by-step explanation:

on Khan Academy

The statement by Tom "A player will most likely get 17.5 " is correct based on expected value .

What is expected value?

Expected value (also known as EV, expectation, average, or mean value) is a long-run average value of random variables. It also indicates the probability-weighted average of all possible values. Expected value is a commonly used financial concept.

According to the question

Tom and Rosie are designing a game.

In each turn, a player rolls five 6-sided dice and adds the numbers showing on each face to determine how many points they get that turn.

let X represent the sum in a given turn

the expected value of X is E(X)=17.5

expected value is also called mean value

i.e

highest value of sum = 6+6+6+6+6

= 30

Lowest value of sum = 1+1+1+1+1

= 5

Therefore,

Mean = [tex]\frac{30+5}{2}[/tex]

= 17.5

Now,

Tom says, "A player will most likely get 17.5

This statement is correct as per expected value which is mean value and it is 17.5 .

Rosie says, "Over 100 turns, we can expect a total of about 175

This statement is incorrect as per expected value as

expected value = 17.5

when 100 turn will happen it will

17.5 * 100

= 1750

Hence, The statement by Tom "A player will most likely get 17.5 " is correct based on expected value .

To know more about expected value here:

https://brainly.com/question/13945225

#SPJ2

LAST ATTEMPT MARKING AS BRAINLIEST!! (Pythagorean theorem )

Answers

10 km is the answer
Your welcome

What is the answer to the equation?

Answers

y=-3x+5
the slope is negative because the line is going down from left to right
the y-intercept is 5 because that’s where the line crosses the y-axis

John Marlow's total income last year was $31,300. Of that amount, he spent
$7,900 for food. What percent of Jon's total income did he spend for food? *
25%
40%
50%
85%

Answers

Based on the information given the percent of Jon's total income did he spend for food is 25%.

Using this formula

Percent of total income=Amount spent for food/Total income last year

Where:

Amount spent for food=$7,900

Total income last year=$31,300

Let plug in the formula

Percent of total income=$7,900/$31,300

Percent of total income=25%

Inconclusion the percent of Jon's total income did he spend for food is 25%.

Learn more about total income here:https://brainly.com/question/842469

URGENT PLS HELP

John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?

1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18

Answers

If renting for 1hr cost $8

then renting for X Hrs will cost $32

1/X =8/32 cross multiplying

8X= 32

X= 32÷8= 4hrs

Suppose in the year 2000 the population of a country is 20 million. In the year 2010 the
population is now 24 million. If the growth of the population is exponential, approximate what the population would be in the year 2021.

Answers

Answer:

Grows by 2.4 million each year

Step-by-step explanation:

what does the u stand for in these problems? is it the same as r?

Answers

I think "u" stands for units. [tex]u^2[/tex] means units squared which is like saying ft^2 if you were looking for the area of something with feet dimensions. So in this case, the circle has a diameter of x units (u) and an area of x units^2 ([tex]u^2\\[/tex]). It is not the same as r. "r" is most always going to be used to represent the radius.

Is the sentence Equivalent or non equivalent 12:24,50:100

Answers

Answer:This sentence is EquivalentStep-by-step explanation:12:24::50:100=> 12/24 = 50/100=> 1/2 = 1/2Conclusion:

Therefore, the sentence is Equivalent.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Triangle A'B'C' is a reflection of triangle ABC across line BC. Prove that ray BC is the angle bisector of angle ABA'.

Answers

Answer is below in the picture:-

(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')

I hope it helps.

It is proved that the ray BC is the angle bisector of angle ABA'.

What are angle bisectors?

Angle bisectors are lines who bisect the considered angle. Bisect refers to splitting in two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if it in a mirror.

We will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

From the given problem, we know Triangle A'B'C' is a reflection of triangle ABC across line BC.

Therefore, <A'B'C' = <ABC

By the properties of congruent triangles. Means if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Hence, the ray BC is the angle, bisector of angle ABA'.

Learn more about reflection here;

https://brainly.com/question/28186407

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