I WILL MARK YOU BRAINLIEST!!!!!

Answer:

B) x² + 5x + 19

Step-by-step explanation:

(2x² + 7x + 10) - (x² + 2x - 9)

==> remove parenthesis and apply negative sign

2x² + 7x + 10 - x² - 2x + 9

==> combine like terms

x² + 5x + 19

the answer is B

Important Note:

Like terms are terms with the same variable and exponent. Eg. 5x³ and x³ are like terms because they both have a common variable x, and a power of 3.

Answer:

B)  \(x^2+5x+19\)

Step-by-step explanation:

\((2x^2+7x+10)-(x^2+2x-9)\)

\(\textsf{Apply rule}\:(a)=a:\)

\(=2x^2+7x+10-(x^2+2x-9)\)

\(\textsf{Apply distributive law}\:-(a+b)=-a-b\:\textsf{ and }\:-(a-b)=-a+b:\)

\(= 2x^2+7x+10-x^2-2x+9\)

Group like terms:

\(= 2x^2-x^2+7x-2x+10+9\)

Combine like terms:

\(= x^2+5x+19\)

Answer:

x=16

Step-by-step explanation:

Answer:

98 yards

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.

The length of the park was 98 yds, before the path was built.

Answer:

98 yards

Step-by-step explanation:

First we will list our values

new w: 42

old w: 40

old l: x

new l: x+2

we are adding 2 to the new values as there is 1 yard on either side

now we will find the new area:

42 * (x+2) =4200

42x+84=4200

42x=4116

x=98

Answer:

I believe the answer is 53.505 seconds.

Answer:

53/505

Step-by-step explanation:

Remark

You know that the time must be 53. something for the second lap. If the total of the first and second lap is a whole number, then all you need do is add something to 0.495 to get a whole number.

Method

What you have to do is add 1 - 0.495 to get the decimal to add to 53.

1 - 0.495 = 0.505 which will give you a whole number.

Answer

The answer then is 53.505

Check

51.495

53.505

105.000 seconds total

Answer:

WYM

Step-by-step explanation:

Denominator (x^8 + x^4 + x^3 + x + 1) does not divide evenly into the numerator .To simplify the expression:

(x^6 + x^2 / (x^7 + x) - 1) (x^5 + x^2 + x + 1) - 2 mod (x^8 + x^4 + x^3 + x + 1)

We can perform polynomial division to divide the numerator by the denominator:

Dividing x^6 + x^2 by x^7 + x:

(x^6 + x^2) / (x^7 + x) = 0

So, the expression simplifies to:

-1 (x^5 + x^2 + x + 1) - 2 mod (x^8 + x^4 + x^3 + x + 1)

Now, let's perform the multiplication and simplification:

-1 * (x^5 + x^2 + x + 1) - 2 mod (x^8 + x^4 + x^3 + x + 1)

= -x^5 - x^2 - x - 1 - 2 mod (x^8 + x^4 + x^3 + x + 1)

= -x^5 - x^2 - x - 3 mod (x^8 + x^4 + x^3 + x + 1)

Since the denominator (x^8 + x^4 + x^3 + x + 1) does not divide evenly into the numerator (-x^5 - x^2 - x - 3), we cannot further simplify the expression.

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Answer:

11

Step-by-step explanation:

trust

Answer:

$15.3

Step-by-step explanation:

15% divided by 100

0.15

0.15*18=2.7

18-2.7=15.3

(a) The probability of drawing a red marble, P(red) = 5/8

(b) The probability of drawing an odd-numbered marble, Pſodd) = 5/8

(c) The probability of drawing a red or odd-numbered marble, P(red or odd) = 5/4

(d) The probability of drawing a blue or even-numbered marble, P(blue or even) = 5/8

The probability of different events in drawing marbles from a jar was calculated. The jar contains 10 red marbles numbered 1 to 10 and 6 blue marbles numbered 1 to 6. The events considered were drawing a red marble, drawing an odd-numbered marble, drawing a red or odd-numbered marble, and drawing a blue or even-numbered marble. The probabilities were calculated using the principles of probability theory.

(a) The probability of drawing a red marble was found by dividing the number of red marbles (10) by the total number of marbles (16). This resulted in a probability of 5/8, meaning that there is a 5/8 chance of drawing a red marble from the jar.

(b) The probability of drawing an odd-numbered marble was calculated in the same way as above. There are 10 odd-numbered marbles out of the total 16 marbles, resulting in a probability of 5/8.

(c) To find the probability of drawing a red or odd-numbered marble, the probabilities of drawing a red marble and an odd-numbered marble were added together. Since there are no marbles that satisfy both conditions, their intersection probability was subtracted (which is 0). The result was a probability of 5/4, indicating that there is a 5/4 chance of drawing a red or odd-numbered marble.

(d) Similarly, the probability of drawing a blue or even-numbered marble was calculated by adding the probabilities of drawing a blue marble and an even-numbered marble. The intersection probability was 0 since no marble satisfies both conditions. The resulting probability was 5/8, meaning there is a 5/8 chance of drawing a blue or even-numbered marble.

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So,

A) → (11 + 25 ) -2

Solve :- ( 36 ) -2

B) → (11 + 25) ÷ 2

Solve :- (36) ÷2

The solution of the given conditions are;

a. Smallest possible value of 100 draws = 100

b. Largest possible value of 100 draws = 600

c. Average of the box = 3.6

d. The expected value of the sum = 360

e. Standard Error = 0.189

Given tickets: 5, 1, 2, 4, 3, and 6.

Value of n = 100

Question a :

Smallest possible value of 100 draws = 100 * (Least of the ticket values)

                                                              = 100 * 1

                                                              = 100

Question b :

Largest possible value of 100 draws = 100 * (Highest of the ticket values)

                                                             = 100 * 6

                                                             = 600

Question c :

Average of the box = (5+1+2+4+3+6) / 6

                                = 22/6

                                = 3.6

Question d :

The expected value of the sum = 100 * the Average of the box

                                                     = 100 * 3.6

                                                     = 360

Question e :

Given, SD = 1.89

Standard Error =?

Standard Error = SD/\(\sqrt{n}\)

SE = 1.89/√100

    = 1.89 / 10

    = 0.189

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The probability that the equipment will operate for at least 200 hours without failure is \((1-e^{-2} )^2[2e^-2+1]\).

Given:

mean = 1/100

Let X = the number of components that fail before 200 hours . The X has a binomial distribution n = 3 and p = 1 – e^-2.

probability p = 3/2\(p^{2} (1-p)\) + 3/3 \(p^{3}\).

= 3(\(1-e^-2)^2\)\(e^-2\) + (\(1-e^-2)^3\)

= \((1-e^-^2)^2[3e^-^2 - e^-^2+1]\)

= \((1-e^{-2} )^2[2e^-2+1]\)

Therefore the probability that the equipment will operate for at least 200 hours without failure is \((1-e^{-2} )^2[2e^-2+1]\).

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To find the number of ways to get from point A to point B on a system of roads without visiting any of the 9 intersections more than once, we can use the concept of permutations.

Let's assume that there are n intersections between points A and B. In this case, there are (n+1) possible locations where you can start, including A and the n intersections. To calculate the number of ways, we can start at any of these (n+1) locations and then choose a different intersection at each step until we reach point B.  At the first intersection, we have n options to choose from. At the second intersection, we have (n-1) options, and so on, until we reach the last intersection before point B, where we have 1 option remaining.

To find the total number of ways, we can multiply the number of options at each step Total number of ways = n * (n-1) * (n-2) * ... * 1 = n! For example, if there are 9 intersections between A and B, there are 10 possible locations to start. The total number of ways would be 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880 ways to get from A to B without visiting any of the intersections more than once. In summary, the number of ways to get from A to B without visiting any of the 9 intersections more than once is 362,880.

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The question relates to Eulerian Path in graph theory that visits every edge (or intersection) exactly once in a network (or road system). A definitive answer depends on the layout and connections between intersections.

The number of ways to get from point A to point B without visiting any of the 9 intersections more than once is a problem related to graph theory in Mathematics. Graph theory studies paths, routes, and networks, and has a broad range of applications from road design to computer network architecture.

The problem you're asking about is often referred to as the Eulerian Path problem, named after the mathematician Leonhard Euler. An Eulerian Path is a path in a graph (or city road network) that visits every edge (or intersection) exactly once.

However, to give a definite answer, one would need a clearer picture of the situation, that is, how the intersections are laid out and connected. If all intersections are connected in such a way that you can form a continuous path without any isolation, then multiple solutions may exist.

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Answer: The diameter is 12ft.

Step-by-step explanation:

The length of the rope will be equal to the perimeter of the trampoline.

We know that the trampoline is circular, so the perimeter of a circle can be written as

P = 2*pi*r

where r is the radius, and pi = 3.14...

Then we now should find the perimeter.

if 1ft of rope costs $2.75

now, how many times we can fit $2.75 in $104.50?

We look at the quotient

$104.50/$2.75 = 38

So 38 times, this means that the full rope is 38 times 1 ft, or 38 ft long.

Then the perimeter of the circle is 38ft.

P = 38ft = 2*3.14*r

Now we can find the value of the radius:

r = 38ft/(2*3.14) = 6.05 ft

Now, we want to find the diameter, and we know that the diameter is two times the radius, then:

d = 2*r = 2*(6.05ft) = 12.1 ft.

But we want this to the nearest foot, so we should round it down to 12ft.

The diameter is 12ft.

Answer:

20 cm²

Step-by-step explanation:

1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

<95141404393>

In order to solve the equation for x, we need to look at the side where the variable is, then, we apply the contrary operations to this operation on both sides.

In this case, x is being subtracted by 15, then we need to eliminate this 15 by adding 15 on both sides

Answer:

A. Adding 15 to both sides of the equation

Answer:

the equation is

\(B) \ \: y = - \frac{3}{2} x + 6\)

as for the phrases I don't get that part

Step-by-step explanation:

Hope this helps!

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

for the x^2 =1 the first solution is 1x1 the other solution is -1x-1

4x^2=1 the "x" equals to 1/2

Step-by-step explanation:

Because the answer is "1" it is positive. Negative and negative equals to positive. Positive and positive equals to positive.

Answer:

Step-by-step explanation:

Ok que bueno sigue tu sueño amiga

Answer: One solution

Step-by-step explanation:

Given

-5x-8=8

Add 8 on both sides

-5x-8+8=8+8

-5x=16

Divide -5 on both sides

-5x/-5=16/-5

x=-3.2

Therefore, it has one solution

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-1

Step-by-step explanation:

To solve equations like this we need to use the following rule

\(x^y=z\\y=log_xz\)

We have

\(3^{x+3}=9\\x+3=log_39\\x+3=2\\x= -1\)

Responder:

4,5 euros

Explicación paso a paso:

Dado que:

Importe total gastado = 90 euros

Descuento ofrecido en la compra = 5%

El monto deducido de la compra debido al descuento es:

5% del total. Cantidad gastada

5% de 90 euros

0.05 * 90

= 4,5 euros

The tendency of group members to exert less effort when they work in groups than they would exert if they were acting alone is known as social loafing.

Social loafing is a common phenomenon that occurs when individuals feel that their individual effort will not significantly affect the group's overall performance or when they believe that other group members will compensate for their lack of effort.

This phenomenon can be observed in various group settings, such as in work teams, sports teams, and even in classroom group projects. The lack of accountability and the diffusion of responsibility that occur in groups can contribute to social loafing.

Social loafing can have negative consequences on group performance, as it can decrease the overall quality of the group's output and reduce motivation among group members.

To mitigate social loafing, it is important to establish clear roles and responsibilities for each group member and to provide regular feedback and recognition for individual contributions.

Additionally, creating a sense of collective identity and establishing group goals can also help to combat social loafing by promoting a sense of shared responsibility and commitment to the group's success.

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Answer:

the polar form of z = 1 + √3i is 2(cos(π/3) + i * sin(π/3)).

Step-by-step explanation:

No, we cannot draw a triangle with sides 3 cm, 3.5 cm, and 6.5 cm.

Let's understand the concept behind this:

Apply the triangle's length-of-sides property, which stipulates that the total of any two sides should be more than the value of the third side. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side.

We must determine whether the supplied side lengths constitute a triangle. We now understand that the triangle's third side should be greater than the sum of any two of its sides. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side. So, we'll try every combination and see if it meets the criteria.

Let’s assume AB = 3 cm, BC = 3.5 cm and AC = 6.5 cm.

AB + AC = 3 + 6.5 cm = 9.5 cm > 3.5 cm = BC.

AC + BC = 6.5 + 3.5 = 10 cm > 3 cm = AB.

AB + BC = 3 + 3.5 cm  = 6.5 cm = AC.

However, in this case, the length of the third side is equal to the total lengths of the other two sides, which renders the triangle's condition incorrect.

Therefore, there does not exist any triangle with sides of 3 cm, 3.5 cm, and 6.5 cm.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Let the number be x.

\( \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} \)

\(x = \frac{7}{10} \)

Hope it helps.

Do comment if you have any query.