Can you guys help me with this question? thanks so much!

Answer:

\((i) P(\frac{1}{2}) = 2*(\frac{1}{2})^2 + 5*\frac{1}{2} -5\)

          \(=\frac{1}{2} +\frac{5}{2} -5\\\\=3-5 = -2\)

\((ii) P(3) - Q(2) = 2(3^2)+5(3)-5 -[4(2^2) +3(2) +2]\)

                       \(= 18 + 15 -5 -16-6-2= 28-24 =4\)

\((iii) P(x)\cdot Q(x) = (2x^2+5x-5)(4x^2-3x+2)\)

                      \(=2x^2(4x^-3x+2) +5x(4x^2-3x+2)-5(4x^2-3x+2)\\\\=8x^4 -14x^3 -11x^2 -10x-20x^2+15x-10\\\\=8x^4 - 14x^3 -31x^2 +5 -10\)

\((iv) P(x) + Q(x) = 2x^2 +5x -5 + 4x^2 -3x +2\)

                         \(= 6x^2 +2x -3\)

I suppose you mean

\(f(x) = \dfrac{x+5}{x+1}\)

Then

\(f(3) = \dfrac{3+5}{3+1} = \dfrac84 = 2\)

and the difference quotient is

\(\dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5}{x+1}-2}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5-2(x+1)}{x+1}}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{-x+3}{(x+1)(x-3)} \\\\ \dfrac{f(x)-f(3)}{x-3} = \boxed{-\dfrac{x-3}{(x+1)(x-3)}}\)

If it's the case that x ≠ 3, then (x - 3)/(x - 3) reduces to 1, and you would be left with

\(\dfrac{f(x)-f(3)}{x-3}\bigg|_{x\neq3} = -\dfrac1{x+1}\)

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

b+3=12

because a+5=b+3 and a+5=12 which means b+3 must be 12 as well

Answer:

Step-by-step explanation:

The number of defective laptops = 6/145 * 100 as a percent.

The number of defective laptops = 4.13% in a sample of 145

A: False. The percentage should be the same for 290 laptops. The % does not change. The number of defective laptops will change (12)

B: True. It is a reason assertion that about 4% of all laptops will be defective.

C: True. It is not reasonable to assume that only 0.5 laptops will be defective. .5% is too small.

D: True. 10% is too high.

E: False. The variation should not be much.

The sample mean X is an unbiased estimator for θ.

To find a suitable statistic as an unbiased estimator for θ, we need to find a function of sample Y, YS, ..., Yn whose expected value is equal to θ.

X = (Y + YS + ... + Yn) / n

To show that X is unbiased, we need to calculate its expected value and show that is equal to θ:

E[X] = E[(Y + YS + ... + Yn) / n]

= (1/n) E[Y + YS + ... + Yn]

= (1/n) [E[Y] + E[YS] + ... + E[Yn]]

= (1/n) [nθ] (by the given density function)

= θ

Therefore, sample mean X is an unbiased estimator for θ.

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Answer:

22

Step-by-step explanation:

40 degrees

Step-by-step explanation:

hour hand = 5 and 1/3 hours

minute hand = 20 minutes = 4 hours on the clock

the different = 1 and 1/3 hours

each hour = 360 / 12 = 30 degrees

therefore the answer = 4/3 x 30 = 40 degrees

Answer: 43 pavers.

Step-by-step explanation:

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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The most effective way to describe multivariate relationships is by means of graphs and multiple variables.

The term "multivariate analysis" refers to a broad variety of statistical methods, not simply one particular approach. These methods enable you to comprehend your data more thoroughly in light of particular commercial or real-world settings.

Multivariate analysis is therefore a key idea to understand if you're wanting to be a data analyst or data scientist.

The breadth of knowledge that multivariate analysis offers is its one key benefit. The insights you find are far more applicable to the actual world because you're drawing a lot more thorough picture of what's happening when you explore numerous factors.

There are two different kinds of multivariate analytic techniques: interdependence techniques, which examine the structure of a dataset, and dependency techniques, which examine the cause-and-effect interactions between variables.

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As a result, multivariate analysis is a crucial concept to comprehend if you wish to work as a data analyst or data scientist.

The main advantage of multivariate analysis is the breadth of knowledge it provides. Since you're looking at many different elements, you're getting a much more complete picture of what's going on, which makes the insights you discover much more applicable to the real world.

There are two major categories of multivariate analytic approaches: dependency techniques, which look at the cause-and-effect relationships between variables, and interdependence techniques, which look at the dataset's structure.

Answer:

c. 270m^3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

6×5×9

30×9

270

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

The area of the figure is equal to 400+32pi \(in^{2}\).

What is a semi-circle?

A semicircle is a half circle created by splitting a circle into two equal parts. It is created when a line pierces the circle's center and touches its two ends.

The given figure consists of a rectangle and a semicircle.

We will individually find the area of the rectangle and the semi-circle and we will at those two to get the area of the given figure.

The length of the sides of the rectangle is 25 inches and 16 inches.

The area of the rectangle is the product of length and width which is equal to 400.

The diameter of the semi-circle is equal to 16 in, so the radius of the semi-circle is equal to 8 in.

The area of the semi-circle is equal to \(\frac{\pi r^{2} }{2} =\frac{\pi 64}{2} =32\pi\).

The total area is equal to 400+32pi \(in^{2}\).

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Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Hi tag brainliest ❣️

Thanks

Since the shaded area equal 4

our answer is A

that is the number of shaded area ÷ the total number of points

-

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

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The scale factor being used to reduce it is, 1/4. So option B is correct.

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

For example, Two spheres look similar but could have different radii.

The scale factor being used to reduce the 16-by-20 inch print to the 4-by-5 inch print is 1/4.

To find the scale factor, divide the original dimension by the reduced dimension:

For the length dimension: 16 inches / 4 inches = 4

For the width dimension: 20 inches / 5 inches = 4

Since both the length and width dimensions have the same scale factor, we can conclude that the scale factor is 1/4.

So the answer is 1/4.

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Answer:

  11,481 km

Step-by-step explanation:

Longitude 90.30° W is equivalent to 360° -90.30° = 269.70° E. Then the difference in longitude of the islands is ...

  269.70° -166.56° = 103.14°

The circumference of the earth at the equator is 40,075 kilometers. Hence the distance will be 103.14/360 times that distance:

  (103.14/360)(40,075 km) = 11,481 km

_____

Additional comment

As always with global distance measures, the result of a calculation depends on the assumptions you make. Attached is another take on the question. Apparently, the distance depends on precisely where in the islands you're measuring from/to. The distance computed above differs from the one below by 136 km. The extent of the Galapagos Islands is on the order of 265 km. So, the number we have computed is at least approximately correct.

\(\dfrac{1}{2}:8=\dfrac{1}{2}\cdot\dfrac{1}{8}=\dfrac{1\cdot1}{2\cdot6}=\dfrac{1}{16}\)

Answer:

X ≥ 3   (D)

Step-by-step explanation:

I got it right on Khan Academy :)

The normal force acting on the body is 49.05N

Data;

To calculate the horizontal force or the force acting on the horizontal plane on the body is given as

\(N + fsin\theta = mg\)

Where N = normal force

Let's substitute the values and solve.

\(N = mg - fsin\theta\\N = (5 * 9.81) - 6 sin (0)\\N = 49.05N\)

The normal force acting on the body is 49.05N

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The answers are in order

r = −0.08 --> weak negative correlation

r = −0.83 --> strong negative correlation

r = 0.96 --> strong positive correlation

r = 0.06 --> weak positive correlation

The match of each correlation is given by,

r = −0.08  implies a weak negative correlation

r = −0.83  implies a strong negative correlation

r = 0.96  implies strong positive correlation

r = 0.06 implies  weak positive correlation.

We have given that,

The correlation coefficient, r, to its description.

A                                                 B

r = −0.08                             strong negative correlation

r = −0.83                               weak positive correlation                

r = 0.96                               weak negative correlation                    

r = 0.06                                strong positive correlation

We have to match the given relation

If the correlation coefficient is greater than zero, it is a positive relationship. Conversely, if the value is less than zero, it is a negative relationship.

So the correct match is,

r = −0.08  implies a weak negative correlation

r = −0.83  implies strong negative correlation

r = 0.96  implies strong positive correlation.

r = 0.06 is implies  weak positive correlation.

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Answer:

y=4x-10

Step-by-step explanation:

Answer:The answer is 600.

Step-by-step explanation:

Answer:

y = x-9

Step-by-step explanation:

added in the picture

Answer:

Who picks up that many pecans?

Step-by-step explanation:

i get bored after like 30. jeez.

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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