help with number one please need it right now please

Answer: The smallest zero is -3.

Step-by-step explanation: Zeros of a function are the values of input for which the function gives 0 output.

Here, the given function is,

p(x) = x(x-5)(x-2)(x+3)

For finding the zeroes of p(x),

p(x) = 0

⇒ x(x-5)(x-2)(x+3) = 0,

⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0

⇒ x = 0 or x = 5 or x = 2 or x = -3

Thus, the zeros of the given function are 0, 5, 2, -3

In which -3 is smallest.

Answer:

x = -3

Step-by-step explanation:

x(x-5)(x-2)(x+3) = 0    means at least one of these terms = 0

so  

                        x = 0       or

x-5 = 0     then x = 5        or

x-2 = 0     then x = 2       or

x+3 = 0     then x= -3

Answer:

Both Kent and Don lie on the same side of the equator.

The difference is:

Answer:

Step-by-step explanation:

The answer are will not and below

Answer:

1. will be approved

2. above

Answer:

the answer is 60cm^2

Step-by-step explanation:

formula for area of triangle =1/2×b×h

1/2×20×6

=60cm^2

if i am right mark my answer as brianliest

Answer:

60m^2

Step-by-step explanation:

Formula solving a triangle is: 1/2bh or bh/2

b=base which is the 20m

h= height which is 6m

1/2(20)(6) ---> 1/2(120)  ---> 60

(20)(6)/2 --->120/2 ---> 60

m^2 because you are finding the area of a 2D shape

Extra Info:

m^3 would be if you are finding the area/volume of a 3D shape

Answer:

it's the first one girl! :)

Step-by-step explanation:

Answer:

That is correct at least to what know...

Step-by-step explanation:

Yes, it is valid to use the Central Limit Theorem (CLT) to describe the sampling distribution of the sample mean, even for a random sample of five households. Although a sample size of five is relatively small, the CLT still applies as long as the sample is random and independent.

  The Central Limit Theorem is a fundamental concept in statistics that states that, under certain conditions, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

While a sample size of five may be considered small, the CLT still holds for this case. The key consideration is that the sample is selected randomly and each observation is independent of the others. As long as these conditions are met, the CLT can be applied, even for small sample sizes.

In practice, larger sample sizes are generally preferred to ensure better approximation to the normal distribution. However, the CLT provides a theoretical foundation for the validity of using the normal distribution as an approximation for the sampling distribution of the sample mean, even with relatively small sample sizes like five households.

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(i) The statement  p(1) must be true.

(ii) If  p(r) is true then p(r+1) is also be true. Then is true for all natural numbers.

There is a soccer league with k participating teams, where k is a positive even integer.

suppose that the organizer of the league decides that there will be a total of k 2matches this season, where no pair of teams plays more than once against each other

It is given that there are  teams, the number of matches that can be played is K/2 and no team plays another twice.

The objective is to prove that if every team plays at least one match, then no team plays two or more games.

When  k is an even number, then k = 2n, where n ∈ N

There are 2n teams.

For n = 1, there are 2 teams and only 1 game can be played between Team 1 and Team 2.

Consider the case when  is arbitrary.

Let the first match be between Team 1 and Team 2n, the second match between Team 2 and Team 2n - 1 and so on p match be between Team  p and n + 1

Then the final match is between Team n and Team 2n + 1, which is Team n + 1

Hence, all the teams play and the number of games is n or

Now we prove this for k = 2n + 2

There are  matches played between the first teams. For the additional two teams, one additional match is played.

Hence, the number of games n + 1

Therefore, when each team plays at most one game, the number of games is

By the principle of Mathematical Induction, to prove a statement p(n) , the following steps must be followed.

(i) The statement  p(1) must be true.

(ii) If  p(r) is true then p(r+1) is also be true.

Then

is true for all natural numbers.

The Principle of Mathematical Induction is used to proved the statement

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Answer:

The answer is B) 432

Step-by-step explanation:

The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.

I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.

Hence, B) 432 is the correct option.

Check screenshot of my work below.

(I forgot to include 48 on top of the division I just did. Don't mind that too much..)

A) 326

\( \frac{326}{9} \)

\( = 36.2222222222 \)

B) 432

\( \frac{432}{9} \)

\( = 48\)

C) 531

\( \frac{531}{9} \)

\( = 59\)

D) 630

\( \frac{630}{9} \)

\( = 70\)

so, the correct answer is option A.

Answer:

The alternate interior angles are 2 and 3

So it's (B)

Thus, the measure of angles for the given cyclic quadrilateral ILDW are found as: ∠D = 145° and ∠W = 71°.

A four-sided object with a circle-inscribed perimeter is referred to as a cyclic quadrilateral. The quadrilateral's four chords connect each of its four vertex points, which are located on the circle's equator.

For the given cyclic quadrilateral ILDW

Using the supplement angles property.

∠I + ∠D = 180°

45° + ∠D = 180°

∠D = 180° - 45°

∠D = 145°

Similarly.

∠L + ∠W = 180°

109° + ∠W = 180°

∠W = 180° - 109°

∠W = 71°

Thus, the measure of angles for the given cyclic quadrilateral ILDW are found as: ∠D = 145° and ∠W = 71°.

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The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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hope it will help and plz ignore that circles .

Answer:

4

Step-by-step explanation:

because the first number has 2 decimal places and the second 2. So, 2+2=4

Answer:

ksoslsmskksisosjzjsoslsndhsislsmndjddu

Step-by-step explanation:

yapamadım

Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)

Given expressions:

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

Answer:

y=2/3x-16/3    

Step-by-step explanation:

ok ill show you how to do one question since the rest will take too long so what you do is

equation is y=mx+b right

so you have slope and these points (2,-4) and m=2/3

y=2/3x +b right

now all you do is sub in x and y which are ur given points

-4=2/3 (2) +b

now you solve for b

-4 = 4/3 + b

-4-4/3 = b

-12/3 - 4/3 = b

-16/3=b so therefore

y=2/3x-16/3    

Answer:

Step-by-step explanation:

The weights in pounds of the defensive linemen were :

254,311, 297, 323, 260, 242, 300, 252, 303, 274

Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

The weights in pounds of the offensive linemen were :

310 ,315, 305, 318, 298, 301, 321, 332, 320

Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

a)

Offensive line       Stem        Defensive line

                               24     |            2

                               25     |            2 , 4

                               26     |            0

                               27     |            4

         8             |      29     |           7

      1,5              |      30     |           0,3

     0,5,8           |      31      |           1

     0,1               |      32     |           3

      2                |      33     |

Five number summary of offensive line:

1) minimum: 298

2) maximum: 332

3)

Lower quartile:298 ,301 ,305 ,310

Q1 is the median of lower quartile

\(Q1=\frac{301+305}{2}=303\)

4)

Upper quartile:318 ,320 ,321 ,332

Q3 is the median of upper quartile

\(Q3=\frac{320+321}{2}=320.5\)

5)

Q2 is the median

 298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

Mid value =\(\frac{9+1}{2}\)=5th term = 315

Q2=315

Five number summary of defensive line:

1) minimum: 242

2) maximum: 323

3)

Lower quartile:242 ,252 ,254 ,260 ,274

Q1 is the median of lower quartile

Q1=254

4)

Upper quartile:297 ,300 ,303 ,311 ,323

Q3 is the median of upper quartile

Q3=303

5)

Q2 is the median

 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

Mid value =\frac{274+297}{2}=285.5

Q2=285.5

c) Mean weight of offensive line = \(\frac{298+301+305+310+315+318+320+321+332}{9}=313.33\)

Mean weight of defensive line = \(\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6\)

Mean weight of offensive line is more

So, Offensive group of players tends to be heavier

Answer:

358.125

Step-by-step explanation:

Answer:

358 3/24

Step-by-step explanation:  

Answer:

11.03377918, which is 11.0 if rounded

Step-by-step explanation:

Since We have a leg and an angle we should use a trig

Soh cah toa

According to the angle we have opposite and we are looking for hypotenuse

meaning we'll need sin(X)

sin(x) = o/h   sin(65) = 10/x   x = 11.03377918

Answer:

d

Step-by-step explanation:

Answer:

Answer: 3 + 97

Step-by-step explanation:

Just off the top of my head, I'm pretty sure that the answer you want is 3 and 97.

The single digit primes are 2 3 5 7

2 + 98 is what you are forced to use. 98 is not prime

3 + 97 is the answer I gave.

5 and 95 Ninety five is not prime (5 divides into it).

7 and 93 but 93 is not prime. 3 will divide into it.

(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white

​(b)14 outcomes.

There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.

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Answer:

Step-by-step explanation:

-2/7x -5 =13

-2/7x = 13 + 5 = 18

x = 18 (-2/7)

x =  -5.14

Answer:

Step-by-step explanation:

x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)

a) Solving the system using substitution:

We know that: x+y=2 (i)3x+y=0 (ii)We will solve equation (i) for y:y=2-x

Now, substitute this value of y in equation (ii):3x + (2-x) = 03x+2-x=0 2x = -2 x = -1

Substitute the value of x in equation (i):x + y = 2-1 + y = 2y = 3b)

Solving the system using elimination (linear combination) :

We know that: x+y=2 (i)3x+y=0 (ii)

We will subtract equation (i) from equation (ii):3x + y - (x + y) = 0 2x = 0 x = 0

Substitute the value of x in equation (i):0 + y = 2y = 2c)

Solving the system by graphing:We know that: x+y=2 (i)3x+y=0 (ii)

Let us plot the graph for both the equations on the same plane:

                                graph{x+2=-y [-10, 10, -5, 5]}

                                 graph{y=-3x [-10, 10, -5, 5]}

From the graph, we can see that the intersection point is (-1, 3)d)

We calculated the value of x and y in parts a, b, and c and the solutions are as follows:

Substitution: x = -1, y = 3

Elimination: x = 0, y = 2

Graphing: x = -1, y = 3

We can see that the value of x is different in parts a and b but the value of y is the same.

The value of x is the same in parts a and c but the value of y is different.

However, the value of x and y in part c is the same as in part a.

Therefore, we can say that the solutions of parts a, b, and c are not the same.

However, we can check if these solutions satisfy the original equations or not. We will substitute these values in the original equations and check:

Substituting x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)

Therefore, the values we obtained for x and y are the correct solutions.

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Answer:

What is 6 by the power of 2?

6 x 6

Step-by-step explanation:

You're welcome.

It is possible for the outcome of an operation to differ between two measurements that share the same number of significant digits and the same number of Decimal places.

Indeed, it is conceivable. For instance, both 0.2 and 0.2 have one significant digit and one decimal place. Their product, 0.04, has two decimal places but only one significant digit.

The most common method for distinguishing between integers and non-integers is the decimal numeral system. The approach to meaning numbers in the decimal framework is frequently alluded to as decimal documentation.

The number of digits to the right of the decimal point is called the number of decimal places, and the number of significant digits is the total number of digits that do not include the decimal point, including all leading zeros and some trailing zeros.

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Question:

Is it ever possible for the outcome of an operation performed using these measurements to have a different number of decimal places or significant digits than the original measurements if two measurements have the same number of significant digits and decimal places? Explain.

The sine of 0 radians is 0.

In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.

When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.

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