Hello, please help me out on this, I really need help (:

Step-by-step explanation:

(3a-7a+6)-(4a-3a+4)

(-4a+6)-(1a+4)

Add the remaining a's together, as well as the 6 and 4.

you get,

-3a+10

Therefore

The state model for the two-mass system is given by the above state-space representation.

To obtain the state model for the given two-mass system, we need to express the system in terms of its state variables, inputs, and outputs. Let x1 and x2 be the displacements of the two masses, and let x3 and x4 be the velocities of the two masses, respectively. Then, we can write the equations of motion in matrix form:

dx/dt = Ax + Bu

y = Cx + Du

where x = [x1 x2 x3 x4]T is the state vector, u is the input vector, y is the output vector, and A, B, C, and D are matrices.

Substituting the given equations of motion, we can obtain the state-space representation as:

dx/dt =

[0 1 0 0 ]

[15/7 -7/5 4/7 0 ]

[0 0 0 1 ]

[-4/5 4/15 0 -2/5]

x +

[0 ]

[0 ]

[0 ]

[1/5]

u

y = [1 0 0 0] x

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Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Answer:

with what lol

Step-by-step explanation:

Answer:need me points

Step-by-step explanation:

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

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

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.

The percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.

The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.

We have:

If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.

The radius r = (3350 ± 100) km

As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.

V = (4/3)πr²

The percent error:

= [(experimental value - accepted value)/experimental value]×100

The percent error in volume = 3(100/3350)×100

The percent error in volume = 8.95%

Thus, the percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.

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Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Answer:

3/8

Step-by-step explanation:

hope it helps :)

Answer:

I used 16 out of my 20 dollars to buy some chips at the cvs now I only have 4 dollars to spare.

Answer:

David has 20 baseball cards, he sells N cards and now he only has 4 cards. how many cards did David sell?

20-4=16

David sold 16 baseball cards.

Answer:

The answer is 16

Mark me as brainliest if it was helpful

Answer:

each week he works 57.76 hours

Step-by-step explanation:

Answer:

a = 13,

b = 28,

c = 6,

d = 22,

e = 31

Step-by-step explanation:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

20.25 square units are enclosed between the two curves.

To find the area enclosed between the two curves, find their intersection points first.

Setting the equations equal to each other:

8x² - x³ + x = x² + 13x

Simplifying and rearranging:

x³ - 7x² - 12x = 0

Factoring out x:

x(x² - 7x - 12) = 0

Solving for x using the quadratic formula:

x = 0, x = 3, x = -4

The two curves intersect at x = 0, x = 3, and x = -4.

Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:

At x = -4, y = 128

At x = 0, y = 0

At x = 3, y = 27

So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.

Now find the area between the curves using integration:

∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx

Simplifying:

∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx

Integrating:

[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3

Simplifying:

(64/3) + (81/4) - (27/3) - (64/3) = 20.25

Therefore, the area enclosed between the two curves is 20.25 square units.

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Image transcribed:

(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.

The area is

the  proof of (a, b) = {{a}, {a, b}} is  shown when the two sets have the same elements.

The mathematical  expression is an ordered sequence of two elements, a and b.

(a, b) : a and b.

{{a}, {a, b}}:

We see that the  sets has  two subsets =  {a} and {a, b}.

and this subset {a} has  only one element=  a.

and the  subset {a, b} has two elements=  a and b.

We will go ahead and compare each element in a set

(a, b) has two elements = a and b.

{{a}, {a, b}} has two subsets

while subset {a} has one element =  a.

and subset {a, b} has two elements=  a and b.

In conclusion , we can notice the match of elements in both sets and we then can say that (a, b) = {{a}, {a, b}}.

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Explanation:

This graph passes the vertical line test, so that's why we have a function.

It is impossible to draw a single vertical line to have it pass through more than one point on the blue curve. Keep in mind that open holes are not part of the graph. So a vertical line at say x = -2 only passes through (-2,0) and not (-2,-2).

In other words, the input x = -2 leads to the output y = 0 (and not y = -2).

Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is \(y=mx+b\) where \(m\) is the slope of the line and \(b\) is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure \(y\) is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have \(-\frac{1}{2} y\) so we have to divide both sides by \(-\frac{1}{2}\) to get \(y=-12x -20\)

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or \(m\) in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

The amount that Nayeli has to pay in a month in which she downloaded 10 songs is $22.50.

The amount that Nayeli will pay if she downloaded s songs is 10 + 1.25s.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

The expression to illustrate the information will be:

10 + 1.25(s)

In this case, she downloaded 10 songs. The amount will be:

= 10 + 1.25s

= 10 + 1.25(10)

= 10 + 12.5

= 22.5

She will pay $22.50

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Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

Answer:

1 \(\frac{1}{2}\)

Step-by-step explanation:

There are a total of 2 friends, if they have 3 cereal bars and want to split it equally then we simply need to divide the number of cereal bars by the number of friends which would give us the number of cereal bars that each individual will get, which will be represented by x

x = 3 / 2

x = 1 \(\frac{1}{2}\)

Finally, we can see that each friend will get a total of 1 and a half of a cereal bar.

Answer:

The answer is 2 eggs per brownie.

Step-by-step explanation:

Answer:

\(DE=5x-12\)

Step-by-step explanation:

From this we can see this is an equilateral triangle

So, both sides to make every angle equal have to be the same

That's why \(DE=5x-12\)

Brainliest please

Answer:

DE = 5x-12 (base angles of isos triangle)

Answer: 108

Reason: I asked my teacher.

Answer:

105

Step-by-step explanation:

(6^2)=0.027

(3^3)=0.037

(3*6)^4=104,976

0.027*0.037*104,976= 104.87/ or 105

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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