write in standard form, classify by degree and number of terms.
5a^2 - 6a^3 + 2a

Answer:

Wala po line jan♥️

Answer:

-3x+30

Step-by-step explanation:

\(4\left(x+7\right)-7x+2\)

Expand \(4(x+7)= 4x+28\)

\(4x+28-7x+2\)

Simplify \(4x+28-7x+2\)

\(-3x+30\)

The conditional variance of Y given X, denoted as var(Y∣X), is defined as the expected value of the squared difference between Y and its conditional mean, E(Y∣X), given X.


The conditional variance of Y given X, var(Y∣X), is defined as the expected value of (Y – E(Y∣X))^2, where E(Y∣X) represents the conditional mean of Y given X. This measures the dispersion or variability of Y around its conditional mean given X.
The law of total variance states that the total variance of Y can be decomposed into the sum of the expected value of the conditional variances and the variance of the conditional means, i.e., var(Y) = E(var(Y∣X)) + var(E(Y∣X)).
The expected value of the conditional variances, E(var(Y∣X)), captures the average variability of Y given X, while the variance of the conditional means, var(E(Y∣X)), represents the variability of the conditional means around the overall mean of Y.
Therefore, the expression var(Y) = E(var(Y∣X)) + var(E(Y∣X)) shows how the total variance of Y can be partitioned into the variability within the conditional distributions and the variability of the conditional means.

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Answer:

15/17

Step-by-step explanation:

Remember SOH- CAH - TOA

Answer:

3 series I believe

Step-by-step explanation:

7-4=3 this is what I got I believe it's right

The given computer can be customized in six memory sizes, three types of displays, four hard disk sizes, and two possible options, including a pen tablet or not.

\We can calculate the number of possible systems by multiplying the number of options for each component together.

Then we can use the multiplication principle to get the number of possible systems:

Number of memory sizes

= 6Number of display types

= 3Number of hard disk sizes

= 4Number of possible options for pen tablet

= 2Using the multiplication principle, the number of possible systems that can be ordered is

= 6 x 3 x 4 x 2

= 144.

Therefore, there are 144 different systems that can be ordered.

The total number of different systems that can be ordered when customizing a computer can be calculated using the multiplication principle.

This principle is used when we want to find the total number of outcomes of a multi-step process by multiplying the number of possible outcomes for each step.

In this scenario, we need to consider four components of the computer that can be customized: memory size, display type, hard disk size, and pen tablet.

The number of options available for each of these components is 6, 3, 4, and 2 respectively.

Therefore, the number of possible systems that can be ordered is the product of these numbers:6 x 3 x 4 x 2 = 144

This means that there are 144 different systems that can be ordered depending on the choices made for each component.

This is a large number of options, and it highlights the importance of customization in modern computing systems. Customers can choose the exact specifications that meet their needs, rather than having to settle for pre-built systems that may not include the desired components or features. Therefore, the ability to customize computer systems is an important feature that makes them more versatile and useful for different purposes.

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Answer:

D. 3/9

Step-by-step explanation:

Attached below is a picture with each fraction illustrated.

The block will cover the distance 12m before it stops.

According to Newton's second law of motion, the acceleration a

of a body of mass m is determined by the net force \(F_n_e_t\) acting on it:

\(F_n_e_t\)  = ma.

The mass of a block, m = 8 kg

The initial speed of the block on rough horizontal surface , u = 6 m/s

The force of friction, F = 12N

We know that, the Newton's 2nd law: \(F_n_e_t\)  = ma.

Therefore, its final velocity is zero, v = 0

Since the only force that is acting on the body along the horizontal direction is the kinetic frictional force

\(F_n_e_t\)  = ma. (\(F_n_e_t\)  is acting in opposite direction to that of object motion)

a = \(\frac{f_n_e_t}{m}\) = \(\frac{-12}{8} = -1.5m/s^2\)

Negative sign shows that it is in the opposite direction to that of initial velocity.

By using the third kinematic equation, we get:

\(v^2=u^2+2as\\\\= > s = \frac{0-6^2}{2(-1.5)}\\ \\s = \frac{36}{3} = 12m\)

Therefore, the block will cover the distance 12m before it stops.

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the most accurate representation of the survey's target population is the students in Mrs. Robinson's first period class.

Mrs. Robinson conducted a survey in her first period class to determine the preferred vacation types among her students. She surveyed 25 students in total. The survey results indicated that 8 students preferred trips to the beach, 10 students favored camping trips, and 7 students enjoyed visits to amusement parks.Based on the information provided, the survey's sample population consists of all the students in Mrs. Robinson's first period class (option D). While the survey results give insight into the preferences of this specific group, they may not accurately represent the entire school (option A) or all students who like vacations (option B). Additionally, the survey covers various vacation types, not only beach trips (option C).

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the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:

V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x

To maximize V, we take the derivative of this expression and set it equal to zero:

dV/dx = 12x^2 - 80x + 100 = 0

Solving for x using the quadratic formula, we get:

xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76

The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.

The dimensions of the box with the largest volume are:

Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches

Height = x = 5.76 inches

Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

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A bulb's average lifespan is 130.82 years.

How Does Mean Work in Statistics?

The statistical notion of mean, which is employed in a variety of financial areas and corporate appraisal, has significant financial implications. The three statistical measurements of a data set's central tendency are mean, median, and mode.

As stated in the table:

Lifetime           Frequency

25 < t ≤ 50       76

50 < t ≤ 100      33

100 < t≤ 150      67

150 < t ≤ 200    28

200 < t ≤ 250    0

250 < t ≤ 300    82

300 < t≤ 350     36

The mean of the intervals is then determined by:

\(x=\frac{x1+x2}{2}\)

For the range 25 t 50, we have:

\(t=\frac{25+50}{2} = 37.5\)

For the range 50 t 100, we have:

\(t=\frac{50+100}{2}=75\)

The new table is as follows using the formula above:

Lifetime           Frequency

37.5                      76

75                      33

125                      67

175                      28

225                      0

275                      82

325                      36

The mean is then determined as follows:

x= Σfx/f

We thus have:

\(x=\frac{37.5*76+75*33+125*67+175*28+225*0+275*82+325*3}{76+33+67+28+0+82+36}\)

Simplify

\(x=\frac{42125}{322}\)

Divide

x= 130.82

Therefore, a bulb's average lifespan is 130.82 years.

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

12 is the answer

Step-by-step explanation:

12

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

the degree measure of Angle AOB is:

4x - 15 = 4(30) - 15 = 105°

We know that the sum of the angles in a triangle is 180 degrees, so we can use that information to set up the following equation:

m(Angle AOC) + m(Angle BOC) + m(Angle AOB) = 180

Given the information in the problem, we can substitute in the values for each angle:

67 + (2x + 10) + (4x - 15) = 180

Solving for x, we get:

x = 30

So the degree measure of Angle BOC is:

2x + 10 = 2(30) + 10 = 70°

And the degree measure of Angle AOB is:

4x - 15 = 4(30) - 15 = 105°

An angle is defined as the measure of rotation between two rays with a common endpoint. It is usually measured in degrees or radians.

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Answer:   2n+4

Step-by-step explanation:

"(4 more than) twice the number"  is 2x

"4 more (than twice the number)"    is +4

Put them together:  2n + 4

Answer:

Step-by-step explanation:

-120

x/-4=30

x=30×-4

x=-120

It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Step-by-step explanation:

X = 50+45 = 95 exterior angle

y =95 + 52 = 147 exterior angle

Z = 180 Straight angle

No Inequality has a specific solution

What is Linear Inequality?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.

Solution:

Please refer to the graph

We can clearly see that there are no corner points within the viable region of the graph of the Linear Inequality therefore, there exists no specific solution.

And also, the inequality 3 and inequality 4 are nothing but are the same as inequality 1 and inequality 2

Any inequality does not have any specific solution

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Answer:

-125,-626

Step-by-step explanation:

please mark brainliest

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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The subjects who gave the highest speed estimates were likely those who were most confident in their answers and most willing to take risks in their estimates.

Those who were less confident and more hesitant to take risks would likely give lower estimates, while those who were more confident and willing to take risks would give higher estimates. Additionally, the subjects who had prior knowledge of the speed at which cars typically travel may have given higher estimates than those who did not have that knowledge. Finally, any subjects who were predisposed to overestimate due to a bias towards overestimating in general would have likely given the highest speed estimates.The subjects who gave the highest speed estimates in Elizabeth Loftus's study were likely those who had the highest levels of anxiety and/or were the most emotionally involved in the film. These individuals may have had difficulty accurately assessing the speed of the cars due to their heightened emotional state, and thus reported higher speeds than were actually observed. Additionally, people who were more familiar with cars and driving may have been more likely to give higher speed estimates due to their greater understanding of the physics involved. It is also possible that some individuals may have been influenced by the expectations of the experimenters, and thus reported higher speeds than what they actually observed.  

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Answer :i think its -13

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we divide W(x) by (x-a) then the remainder is W(a)

W(x) = 2x³ - 5x - 7

x - a = x + 2    ⇒  a = -2

W(-2) = 2(-2)^3 - 5(-2) - 7 = 2(-8) + 10 - 7 = -16 + 3 = -13

Answer:

\(Arc \ length = 2\pi r\frac{\theta}{360} =2\pi 5\frac{30}{360} =10\pi \frac{1}{12} =\frac{5}{6} \pi =2.62units\)

The net present value of the machine is rounded to the nearest dollar is $-76,447.56.

Net gift fee is the prevailing fee of after-tax coins flows from an funding much less the quantity invested.

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