If the perimeter of this trlangle is 15 centimeters, what is the value of n? 5n - 6 2n + 1 Express your answer as a decimal number. n =​

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

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

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

Read more about equation at

https://brainly.com/question/27887972

#SPJ1

Answer:

The amount in the account in 2014 is $585.89

Step-by-step explanation:

Deposited amount: $0.01

Deposit date: 1789

Present date: 2014

Interest rate: 5%

F = A(1 + r)^t

t = 2014 - 1789 = 225

F = 0.01(1 + 0.05)^225

F = 585.89

Answer: $585.89

Answer:

x= -3454

Or,

x= -3.58

Step-by-step explanation:

350x² - 2199x + 3454 = 0

350x² - 2199x = 0 - 3454

350x² - 2199x = -3454

x(350x - 2199) = -3454

Now,

Either ,

x=-3454

or,

350x-2199= -3454

350x= -3454+2199

350x= -1255

x= -1255/350

x= -3.58

Refer to the attachment

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

learn more about samples here :

https://brainly.com/question/8222250

#SPJ1

Answer:

13%

Step-by-step explanation:

Commission rate = commission / value sold

= 286/2200

= 13%

The answer is 13% and here is how you get it-

First of all the commission rate= commission/value sold.

So you need to divide 286 by 2200. Your answer to that would be 0.13 and just convert that into a percentage. That would give you 13%.

Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

for such more questions on  probability

https://brainly.com/question/29070527

#SPJ8

Answer:

433.68

Step-by-step explanation:

Answer:

433.68

Good Luck!!!

Answer:

\(solution \\ 2x - 3 = x + 4(being \: alternate \: exterior \: angles) \\ or \: 2x - x = 4 + 3 \\ x = 7 \\ hope \: it \: helps\)

Answer:

Problem 20)

\(\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)\)

Problem 21)

A)

The velocity function is:

\(\displaystyle v(t) =2\pi(\cos(2\pi t)-\sin(\pi t))\)

The acceleration function is:

\(\displaystyle a(t)=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\)

B)

\(s(0)=2\text{, }v(0) = 2\pi \text{ m/s}\text{, and } a(0) = -2\pi^2\text{ m/s$^2$}\)

Step-by-step explanation:

Problem 20)

We want to differentiate the equation:

\(\displaystyle y=\left(\cos x\right)^x\)

We can take the natural log of both sides. This yields:

\(\displaystyle \ln y = \ln((\cos x)^x)\)

Since ln(aᵇ) = bln(a):

\(\displaystyle \ln y =x\ln \cos x\)

Take the derivative of both sides with respect to x:

\(\displaystyle \frac{d}{dx}\left[\ln y \right]=\frac{d}{dx}\left[x \ln \cos x\right]\)

Implicitly differentiate the left and use the product rule on the right. Therefore:

\(\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x+x\left(\frac{1}{\cos x}\cdot -\sin(x)\right)\)

Simplify:

\(\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x-\frac{x\sin x}{\cos x}\)

Simplify and multiply both sides by y:

\(\displaystyle \frac{dy}{dx}=y\left(\ln \cos x-x \tan x\right)\)

Since y = (cos x)ˣ:

\(\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)\)

Problem 21)

We are given the position function of a particle:

\(\displaystyle s(t)= \sin (2\pi t)+2\cos(\pi t)\)

A)

Recall that the velocity function is the derivative of the position function. Hence:

\(\displaystyle v(t)=s'(t)=\frac{d}{dt}[\sin(2\pi t)+2\cos(\pi t)]\)

Differentiate:

\(\displaystyle \begin{aligned} v(t) &= 2\pi \cos(2\pi t)-2\pi \sin(\pi t)\\&=2\pi(\cos(2\pi t)-\sin(\pi t))\end{aligned}\)

The acceleration function is the derivative of the velocity function. Hence:

\(\displaystyle a(t)=v'(t)=\frac{d}{dt}[2\pi(\cos(2\pi t)-\sin(\pi t))]\)

Differentiate:

\(\displaystyle \begin{aligned} a(t)&=2\pi[-2\pi\sin(2\pi t)-\pi\cos(\pi t)]\\&=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\end{aligned}\)

B)

The position at t = 0 will be:

\(\displaystyle \begin{aligned} s(0)&=\sin(2\pi(0))+2\cos(\pi(0))\\&=\sin(0)+2\cos(0)\\&=(1)+2(1)\\&=2\end{aligned}\)

The velocity at t = 0 will be:

\(\displaystyle \begin{aligned} v(0)&=2\pi(\cos(2\pi (0)-\sin(\pi(0))\\&=2\pi(\cos(0)-\sin(0))\\&=2\pi((1)-(0))\\&=2\pi \text{ m/s}\end{aligned}\)

And the acceleration at t = 0 will be:

\(\displaystyle \begin{aligned} a(0) &= -2\pi ^2(2\sin(2\pi(0))+\cos(\pi(0)) \\ & = -2\pi ^2(2\sin(0)+\cos(0)) \\ &= -2\pi ^2(2(0)+(1)) \\ &= -2\pi^2(1) \\ &= -2\pi^2\text{ m/s$^2$} \end{aligned}\)

Answer:

A: 336 km

B: 14 L

Step-by-step explanation:

Use a proportion

210 km / 5 L = x / 8L         Cross multiply

8*210  = 5 x

1680  = 5x

x = 1680 / 5

x = 336 km

===============

210 /5 = 588/x                   Cross multiply

210x = 588 * 5

210x = 2940                     Divide by 210

x = 2940/210

x = 14 L

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

To learn more about Proportion :

https://brainly.com/question/1496357

#SPJ11

Answer:

n = 4

Step-by-step explanation:

We are given the equation 7n - 2 = 5n + 6, ans we want to solve it for n.

To do this, we need to isolate n one one side.

Let's start by adding 2 to both sides.

7n - 2 = 5n + 6

   +2           +2

_______________

7n = 5n + 8

Now, subtract 5n from both sides.

7n = 5n + 8

-5n   -5n

_______________

2n = 8

Divide both sides by 8 to get the value of n.

2n = 8

÷2   ÷2

________

n = 4

Answer:

Todd FL to do do to FL forming

For the first graph the two lines are parallel, that is they do not intersect. Thus, the system has no solution. For the second graph the y-intercept is 3 units.

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations. There is only ever one solution to a linear equation with one variable. The one and only position at which LHS and RHS are equivalent upon substitution is the unique solution of a linear equation. When there are two simultaneous linear equations, the answer must be an ordered pair (x, y). The ordered pair will in this instance satisfy the set of equations.

For the first graph the two lines are parallel, that is they do not intersect. Thus, the system has no solution.

For the second graph the y-intercept is 3 units.

Learn more about system of equation here:

https://brainly.com/question/12895249

#SPJ1

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

Learn more about corresponding angles here: https://brainly.com/question/2009183

#SPJ1

Answer:

it would be slope = 1/2, y int = 1/2

y = 1/2x - 6

Answer:

\(a=4.1\)

Step-by-step explanation:

The Law of Cosines is given as:

\(a^2=c^2+b^2-2cb\cos A\).

Plugging in given values, we get:

\(a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}\).

Answer:

The answer for Acellus people is a=4.1

Step-by-step explanation:

The probability that the student has cheated on an exam is 33%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that in a survey of college students, 840 said that they had cheated on an exam and 1,765 said that they had not.

The probability will be calculated as,

Probability = Number of favorable outcomes / Number of sample

Probability = 840 / 2605

Probability = 0.33 or 33%

Therefore, the probability that the student has cheated on an exam is 33%.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

==================================================

Explanation:

I'll use the template

y = Asin(kx)+C

where,

The highest and lowest we can go on the curve is y = 7 and y = -5 respectively. This is a distance of 7 - (-5) = 7 + 5 = 12 units. Half of this vertical distance is the amplitude, so we get 12/2 = 6 as the amplitude. This leads to either A = 6 or A = -6. I'll go with A = 6 for now.

One maximum point is at (-7.5, 7) and its adjacent neighbor max point is (2.5, 7)

This is a horizontal gap of 2.5 - (-7.5) = 2.5+7.5 = 10 units. This is the period of the sine curve because the graph repeats itself every 10 horizontal units along the x axis.

T = period = 10

k = 2pi/T

k = 2pi/10

k = pi/5

The last thing to determine is the value of C. To find this value, find the midpoint of the min and max.

C = (ymin + ymax)/2

C = (-5+7)/2

C = 2/2

C = 1

----------

To recap, we found these values

So we have

y = Asin(kx)+C

update to

y = 6sin(  (pi/5)x  ) + 1

which is the same as writing \(\text{y} = 6\sin\left(\frac{\pi}{5}\text{x}\right)+1\)

You can use a graphing tool such as Desmos or GeoGebra to confirm the answer is correct. Refer to the diagram below.

Answer:

7.11\(\leq\)-7.1

Step-by-step explanation:

Answer:

Question 1- C. 7.11 > -7.1

Question 2- True

Question 3- -3 < -1 and -3 ≤ -1

Question 4- I don't know

Question 5- {3,4}

Step-by-step explanation:

I ran it through the calculator only on question 4 I didn't know the answer

-Rocketgamer360

The answer for the given expression is =1/128[35-56cos2x+28cos4x-8cos6x+cos8x]

What is trignomatric functions?

All trigonometric identities are built upon the foundation of the six trigonometric ratios. Some of their names are sine, cosine, tangent, cosecant, secant, and cotangent. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.

What is multiple angles?

If angle A is taken as a given, then many angles are 2A, 3A, 4A, etc. The many angle formulas employ the double and triple angles formulas. Sine, cosine, and tangent are the often utilised trigonometric functions for the multiple angle formula.

Answer is attached as a image must check:

To know more about tangent visit:

https://brainly.com/question/14022348

#SPJ1

We can rewrite sin⁸x in terms of first powers of the cosines of multiple angles as:

sin⁸x = 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)

Trigonometric functions raised to powers can be rewritten using double-angle, half-angle, and Pythagorean identities in power lowering formulas. Equations can be made simpler using them, and trigonometric expressions can be precisely determined.

We can use the power-reducing formulas to rewrite sin⁸x in terms of cosines of multiple angles as follows:

sin²x = 1 - cos²x   (first power-reducing formula)

sin⁴x = (sin²x)² = (1 - cos²x)²

      = 1 - 2cos²x + cos⁴x   (second power-reducing formula)

sin⁶x = (sin⁴x)(sin²x)

      = (1 - 2cos²x + cos⁴x)(1 - cos²x)

      = 1 - 3cos²x + 3cos⁴x - cos⁶x   (third power-reducing formula)

sin⁸x = (sin⁶x)(sin²x)

      = (1 - 3cos²x + 3cos⁴x - cos⁶x)(1 - cos²x)

      = 1 - 4cos²x + 6cos⁴x - 4cos⁶x + cos⁸x

Now we can substitute the expression for sin⁸x into the given expression and simplify it:

1/128 (35 - 56 cos2x + 28 cos4x - 8 cos6x + cos8x)

= 1/128 (35 - 56(2cos²x-1) + 28(4cos⁴x-3cos²x) - 8(8cos⁶x-8cos⁴x+cos²x) + cos⁸x)

= 1/128 (35 - 112cos²x + 56 + 112cos⁴x - 84cos²x - 64cos⁶x + 64cos⁴x - 8cos²x + cos⁸x)

= 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)

Therefore, we can rewrite sin⁸x in terms of first powers of the cosines of multiple angles as:

sin⁸x = 1 - 4cos²x + 6cos⁴x - 4cos⁶x + cos⁸x

     = 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)

Learn more about power reducing formulas on:

https://brainly.com/question/29586028

#SPJ1

Answer:

8. 72% × 850

= 72/100 × 850

= 72 × 8,5

= 612 ( b )

9. Poin B = 4 ( b )

Answer:

8. B

9. B

10. C

Step-by-step explanation:

8. To find 72% of 850, you would multiply 0.72 x 850. When you do that, it gives you 612.

9. B is on the number 4.

10. The expression is asking, "What is the absolute value of 28?". Absolute value means that the number inside will always be positive. For example, if it was -28, the absolute value would turn to 28. Since the question has 28 already positive, there is no change, so the answer would be 28.

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

The description of the  change in distance over time is;

He ran further away from home, then sped up and went further. He then

slowed down, still going further from home. He then turned

around and headed home.

A distance-time graph is defined as a graph that shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the y-axis. Time is plotted on the x-axis.

From the attached graph, we see that Wesley ran further away from home, and then he sped up and went further in the journey. He then

slowed down, and still going further from home. Finally, he turned

around and headed home.

Read more about Distance-Time Graph at; https://brainly.com/question/13877898

#SPJ1

All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

Answer:

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=3,\:y=-1\)

Step-by-step explanation:

\(3x - 4y = 13\)

\(5x + 4y = 11\)

isolate x for 3x-4y=13

\(\mathrm{Subsititute\:}x=\frac{13+4y}{3}\)

\(\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}\)

\(\frac{65+32y}{3}=11\)

now isolate y for \(\frac{65+32y}{3}=11\)

\(\frac{65+32y}{3}=11\)

\(65+32y=33\)

\(32y=-32\)

Divide both sides by 32

\(\frac{32y}{32}=\frac{-32}{32}\)

\(y=-1\)

\(\mathrm{For\:}x=\frac{13+4y}{3}\)

\(\mathrm{Subsititute\:}y=-1\)

\(x=\frac{13+4\left(-1\right)}{3}\)

  \(=\frac{13-4\cdot \:1}{3}\)

  \(=\frac{9}{3}\)

\(\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3\)

  \(=3\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=3,\:y=-1\)

Answer:

the 5yr/ $270mth

Step-by-step explanation:

$15k × 8% = $1200 interest

$15k + $1200 = $16,200.00

$16500 ÷ 60months (5years) = $270/mth pymt

Explanation:

We have these numbers: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. That's 10 numbers

The odd numbers are: {1, 3, 5, 7, 9}. That's 5 numbers.

The probability of selecting an odd number is:

Answer:

B. 1/2