Find the solutions to x² = 20.
O A. x=+5√2
OB. x=+10,2
OC. x=+2√5
OD. x = ±2/10
100

The probability that the number is a multiple of four is 0.25.

we know that if a number is multiple of four then its last 2 digits must be divisible by four.( i.e. ten's and one's places)

We are given only four numbers 1,2,3,4 , which can't be repeated.

So here , in this case , such numbers with last two digits divisible by four are 12,24 and 32 only

Having last two digits ‘12’ ;

the first two digits can be formed using 3 and 4 only . This can be done in (2!) = 2 ways.

Similar case will be happening with 24 and 32 as well.

So the total ways of getting a multiple of four will be = 2 + 2 + 2

                                                                                        = 6 ways

Now total numbers that can be made from given four digits = \(P_{4} ^{4}\)

                                                                                                  = 24

So the probability of getting a multiple of four is = 6/ 24

                                                                                 = 0.25

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Domain and Range both are real numbers for all odd-degree polynomial functions.

Writing in an Interval Form, note that we use the least value in the left and the most value in the right.

From [a,b], [a,b), (a,b] or (a,b) | a must be less than b.

Therefore, the D choice is wrong in Interval part (However, right in range and domain but just for interval order.)

So the answer is C.

Answer:

21N

Step-by-step explanation:

M. A = WORK OUTPUT ÷ WORK INPUT

Where M. A = 3.5 AND WORK OUTPUT = 75N

WORK INPUT = WORK(FORCE) OUTPUT ÷ M. A

= 75 ÷ 3.5 = 21.428

THEREFORE FORCE THE NUTCRACKER APPLIES TO THE WALNUT = 21.428 = Approx as 21N

Given: 75N force on nutcracker, 3.5 force on walnut

Using formula M. A = WORK OUTPUT ÷ WORK INPUT where M. A is not given W. O = 75N and W. I = 3.5N

75÷ 3.5 = 21N

The force the nutcracker applies to the walnut is approximately 262.5 N.

The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'. A force is exerted on one object by another. The idea of a force is not limited to living things or non-living things.

here, we have,

we know that,

Vectors can symbolize force because they have both magnitude (size or strength) and direction. Gravity, friction, tension, and normal force are all examples of ubiquitous forces. Newton's laws of motion, which relate an object's motion to the forces acting on it, can be used to explain the effects of forces.

In this case, the input force is the force applied to the nutcracker, and the output force is the force applied by the nutcracker to the walnut.

MA = output force/input force

Rearranging this equation, we get:

output force = MA x input force

Substituting the given values, we get:

output force = 3.5 x 75 N

output force = 262.5 N (rounded to one decimal place)

Therefore, the force the nutcracker applies to the walnut is approximately 262.5 N.

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Answer:(A) Show your work.

Step-by-step explanation:(A) Show your work.

Answer: holy math sucks but check the explanation i gotchu

Step-by-step explanation: A) -2x^6 + 3x^5 - 2x^4 - 15x^3 + 4x^2 -20x - 20

B) No, the product is not equal to (x^3-3x-4)*(-2x^3+x-5). This is because the order of the terms in the product is different than the order of the terms in the expression. The product takes the form of -2x^6 + 3x^5 - 2x^4 - 15x^3 + 4x^2 -20x - 20, whereas the expression has the form of (-2x^3+x-5)*(x^3-3x-4).

Answer:

18/5 or 3 3/5

Step-by-step explanation:

Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

The valid sampling method(s) for obtaining a sample of individuals with high cholesterol from the list provided are simple random sampling, stratified sampling, and cluster sampling.

- Simple random sampling: This method involves randomly selecting 40 individuals from the list of 6800 individuals.

- Stratified sampling: This method involves dividing the list of 6800 individuals into different strata  based on relevant characteristics.

- Cluster sampling: This method involves dividing the list of 6800 individuals into smaller clusters (e.g., primary care physician offices or geographical areas).

This method is useful when it is difficult or costly to reach individuals scattered across a wide area.

Each of these methods has its advantages and disadvantages, so the choice depends on the specific needs and constraints of the pharmaceutical company.

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Answer:

ther is a graph along with the question right? So you need to check the y ordinate value for given X ordinate value.Meaning you need to find the point in given x-ordinate and check their y-ordinate and write in the out box.

As for the rule,there will be same relation between the X and y ordinates.You need to find the relation.

If you post the graph ,I will give you full answer

If the motorist wants to complete the journey in 4 hours, he must travel at the speed of 71.11 km/hr

We can calculate the speed in the following way,

We will first have to calculate the distance that the motorist has to travel to reach his destination

Since we know distance = speed / time

We have been given the following values,

time = 4.5 hours

speed = 80 km/hr

substituting the know values in the formula we get,

distance = 80/4.5 = 17.77 km

Therefore distance the motorist has to travel is 17.77 km to reach his destination

Now we need to find the speed he must travel to complete the journey in 4 hours.

Now the known values are,

time = 4 hours

distance = 17.77 km

speed = distance * time

speed = 17.77 * 4

speed = 71.11 km/hr

Therefore, to complete his journey in 4 hour, the motorist must travel at the speed of 71.11 km/hr.

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Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. Here is a shorter definition, A linear equation is an equation that describes a straight line on a graph. You can remember this by the "line" part of the name linear equation. Standard Form. Linear equations have a standard form that looks like this: Ax + By = C. For example...

Step-by-step explanation:

x+2=7

2x+3y=4

y=-2x+10

Answer:

B

Step-by-step explanation:

Considering the definition of a line, the equation of the line that passes through the point (5, -3) and has a slope of 6/5 is y= 6/5x -9.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope m, the line has the form: y=6/5x +b

Substituting the value of the point in the previous expression, the value of the ordinate to the origin b can be obtained:

-3= 6/5×5 + b

-3= 6 + b

-3 - 6= b

-9= b

Finally, the equation of the line is y= 6/5x -9.

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Answer:

900 liters of water is pumped in 1 hour

Step-by-step explanation:

Time taken to pump 15 liters of water =  1 minute.

Time taken to  pump 1 liters of water  = 1/15 minute

\(\sf \text{Time taken to pump 900 liters of water=$\dfrac{1}{15}*900$}\)

                                                             = 60 minutes

                                                             = 1 hour

Answer:

= unidentified

Step-by-step explanation:

Answer: They are Colinear.

Colinear means that they all lie in the same line. Since A rotates 180 degrees, it means that A and A' forms a straight line. You should know this in middle school(Well, I knew this in elementary school)

The exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12 is defined as follows:

f(x) = 5^x.

The general format of an exponential function is given as follows:

y = ab^x.

In which:

The slope of a line, given two points, is given by the division of the change in the output by the change in the input of these two points.

Considering that the slope of points (0, f(0)) and (2, f(2)) is equals to 12, we have that:

[f(2) - f(0)]/(2 - 0) = 12

f(2) - f(0) = 24.

One case that satisfies this involves these two following points.

Hence the parameter a is given as follows:

a = 1.

When x = 2, y = 25, meaning that the parameter b is calculated as follows:

b² = 25

b = 5.

Hence the exponential function is:

f(x) = 5^x.

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Answer:

∠ T ≈ 23.6°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin T = \(\frac{opposite}{hypotenuse}\) = \(\frac{SU}{ST}\) = \(\frac{4}{10}\) , thus

∠ T = \(sin^{-1}\) (\(\frac{4}{10}\) ) ≈ 23.6° ( to the nearest tenth )

After converting the angle from degree to radian, we can say that 225° is equivalent to (5π/4) radians.

In order to convert the angle measure of 225 degrees to radians, we use the conversion-factor that states π radians is equivalent to 180 degrees.

Given that we want to convert 225 degrees to radians, we write the  proportion:

180 degrees : 225 degrees = π radians : x radians,

To find "x", we cross-multiply,

225 × π = 180 × x

225π = 180x,

Dividing both sides by 180,
We get,

x = (225π)/180,

x = (5π)/4,

Therefore, 225 degrees is equivalent to (5π/4) radians.

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The given question is incomplete, the complete question is

Convert 225 degree to radians.

Answer:

I will give you the formula and than it will be easy for you to solve this.

The angles are given below

What is an angle?

An angle is a symbol in Euclidean geometry created by two rays, called the flanks of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are placed in the plane having the rays. Angles are also generated when two planes overlap. These are termed as dihedral angles. An angle defined by two overlapping curves is the angle of both the rays falling tangent to the individual curves at their place of junction. Angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius.

(a) angle a = 112° (alternate angles)

angle b = angle a = 112° (vertically opposite angles)

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Answer:

[C] 30

Step-by-step explanation:

------------------------------------------------------------------------------------------------------------                      

                            Preferred Food

                               Pizza                    Burger                 Other                 Total

               Girl             5                             6                       4

Gender   Boy            7                              5                       3

               Total

------------------------------------------------------------------------------------------------------------                      

------------------------------------------------------------------------------------------------------------                      

                            Preferred Food

                               Pizza                    Burger                 Other                 Total

               Girl             5                             6                       4                        15

Gender   Boy            7                              5                       3                        15

               Total        12                            11                        7                       30

------------------------------------------------------------------------------------------------------------              

Based on what we record in the table. We can see that;

30 people took part in the survey.

RevyBreeze

Answer:

30 people took part in the survey.

Answer:

  True

Step-by-step explanation:

You want to know if line segments are congruent, then ...

  \(\overline{AB}\cong\overline{CD}\implies AB=CD\)

When two geometric shapes are congruent, any and every corresponding measure of those shapes has the same value.

It is TRUE that ...

  \(\overline{AB}\cong\overline{CD}\)

means ...

  \(AB=CD\)

Answer:

56a+40b

Step-by-step explanation:

43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b

Answer:

Length = 12 feet

Width = 30 feet

Step-by-step explanation:

Let l be the length of the garden and let w be the width:

We have system of equations

2w + l = 54

l = 2w + 6

We substitute 2w + 6 for l

2w + 2w + 6 = 54

4w + 6 = 54

4w = 54 - 6

4w = 48

w = 48/4

w = 12 feet

Width(w) = 12 feet

We find the Length

l = 2w + 6

l = 2(12) + 6

l = 24 + 6

I = 30 feet

Answer:

B)It is 12 feet wide and 30 feet long.

this answer is more simply

Step-by-step explanation:

Answer:

C.  (x + 4)(x − 3)

Step-by-step explanation:

A quadratic expression in complete factored form can be written as the product of two linear factors, where each factor is in the form of (ax + b). The expression (x + 4)(x - 3) is in this form and can be expanded to the quadratic expression x^2 + x - 12.

Option A is a sum of two linear expressions, but it is not factored. Option B is a product of two linear expressions, but it can be simplified to the quadratic expression 3x^2 - 3x. Option D is a product of two linear expressions, but it can be simplified to the quadratic expression 2x^2 + 10x + 12.

Answer:

pi or 1 pi

Step-by-step explanation:

Area = 1/4 * pi * r^2 (because it is 1/4 of a full circle)

1/4 * pi * 2^2 (the radius is 2 because it is given in the picture)

1/4 * pi * 4 = 1 pi

area = pi

hope this helps! <3

In total, there are 660 ways to arrange the 10 identical math books and 2 different English books on the shelf such that the English books are not placed next to each other.

To calculate the total number of arrangements, we can consider the English books as distinct entities and treat them separately from the math books.

We have 12 books in total, including 10 identical math books and 2 different English books. Let's denote the English books as E1 and E2.

If the English books are placed together, we can treat them as a single entity. This reduces the problem to arranging 11 entities: the combined English books (E1E2) and the 10 math books. There are 11! (factorial) ways to arrange these entities.

However, within the combined English books (E1E2), there are 2! ways to arrange the individual English books. Therefore, we need to multiply the total number of arrangements by 2!.

Since the total number of arrangements with the English books together is 11! × 2!, we need to subtract the number of arrangements where the English books are placed next to each other from this total.

If the English books are next to each other, we can treat them as a single entity. This reduces the problem to arranging 11 entities: the combined English books (E1E2) and the 10 math books. There are 11! ways to arrange these entities.

Hence, the number of arrangements where the English books are next to each other is 11!.

Finally, we subtract the number of arrangements where the English books are next to each other from the total number of arrangements:

Total arrangements = 11! × 2! - 11!

Simplifying this expression, we get:

Total arrangements = 11! × (2 - 1) = 11! = 39,916,800

Therefore, there are 39,916,800 ways to arrange the books on the shelf such that the English books are not placed next to each other.

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Answer:

41, 49, 57

Step-by-step explanation:

there is a common difference d between consecutive terms, that is

d = 9 - 1 = 17 - 9 = 25 - 17 = 33 - 25 = 8

thus add 8 to a term to obtain the next term

33 + 8 = 41

41 + 8 = 49

49 + 8 = 57

Therefore, the researcher can conclude that there is a significant difference between the placebo group and the supplement group, and the supplement is effective in decreasing the proportion of patients experiencing dry eye.

The best interpretation of p-value obtained from the well-designed experiment of a researcher testing whether a supplement decreased the proportion of patients experiencing dry eye by comparing a placebo group to a supplement group is that the p-value of .032 is significant and the supplement significantly decreases the proportion of patients experiencing dry eye. A p-value is the probability of observing a statistic or more extreme in a sample, given that the null hypothesis is true. In other words, it is the probability of obtaining a test statistic as extreme or more extreme than the observed data under the null hypothesis.The lower the p-value, the stronger the evidence against the null hypothesis.

A p-value of .032 means there is only a 3.2% chance that the difference between the two groups occurred by chance alone if the null hypothesis was true. If the null hypothesis was true, we would expect to see this kind of difference by chance alone only 3.2% of the time. Therefore, we can reject the null hypothesis and conclude that the supplement significantly decreases the proportion of patients experiencing dry eye.

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