Help me with this problem

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

TU is parallel to MN.

Given that the slope of a line MN is -3, we need to find a line which is parallel to the MN.
So we know that the parallel lines are having equal slope so the line which is parallel to the MN it must have slope of -3.

Therefore,

Considering the line TU, find the slope = y₂-y₁ / x₂-x₁

= 10-1 / 5-8 = -9/3 = -3

Since, the slope of the line TU is -3 therefore we can say the lines TU and MN are parallel liens.

Hence TU is parallel to MN.

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Using the concept of statistic, the appropriate terms associated with the study are :

The population refers to the overall group which is of interest or relevance to a particular study.

The group of unit data which is usually a subset of the population is called the sample.

A summary or measure made from the population or overall group is called the Parameter.

A summary or measure made from the group of unit data or sample is called the statistic.

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Answer:

43 is answer

Step-by-step explanation:

65+x+2+70=180

137+x=180

x=43

Answer:

x > 0.5

Step-by-step explanation:

Let the number be x.

6 + 5x > x + 8

4x > 2

x > 0.5

This is a question on inequalities. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

\(y = \frac{x}{5}\)

Step-by-step explanation:

I am going to assume that by "f-1(x)" you mean \(f(x)^{-1}\), which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.

\(x = 5y\\y = \frac{x}{5}\)

Answer:

The original price is 180$

Answer:

Step-by-step explanation:

If there is a 10 percent discount, that means that this is 90 percent of the total.

So, let us find 10 percent is made up of how many dollars.

$162/9=$18 (do note that the slash sign means divide! When you write down the equation on a paper, please write the actual divide sign. Sorry for the inconvenience)

Since the original price is 100 percent, and we have 10 percent, that means we can just multiply the 10 percent by 10, to get 100 percent, as 10 times 10 is hundred.

$18x10=$180

Hope this helped! If you need another method, along with a different explanation, or separate, do comment below, so I can know. Any part you do not understand, please don't be afraid to tell me. If you think I can improve my answer, or change any parts to perhaps make it clearer, i'm open to suggestions!

Answer:

A. chicken

B. 20

C. apples = 13%

cheese = 24%

I only know this much

A po yung sagot pa brainliest

Answer:

a = -2.57 and b = 2.57

Step-by-step explanation:

Explanation:

Given mean of the Population = 212

Standard deviation of the Population = 122

Let  X be the random variable of the Normal distribution

\(Z = \frac{x-mean}{S.D}\)

Given P( a ≤ z ≤b) = 0.99

  put a=-b

         P( -b ≤ z ≤b) = 0.99

   ⇒     |A( b) - A( -b)| =0.99

    ⇒     | A( b) + A( b)| =0.99  

   ⇒       2 |A (b)| = 0.99

     ⇒     | A(b)| = 0.495

From normal table find value in areas

          b = 2.57 ( see in  normal table)

         Given a =-b

                   a = - 2.57

Answer:

i think 30° gonna stay the same

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

Answer:

Angle between the two vectors is 135°

u•v = -12

Step-by-step explanation:

Given two vectors u = (4,0) and v = (-3,-3).

To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;

u•v = |u||v|cos theta

cos theta = u•v/|u||v|

theta = arccos  (u•v/|u||v|)

u•v = (4,0)•(-3,-3)

u•v = 4(-3)+0(-3)

u•v = -12

For |u| and |v|

|u| = √4²+0²

|u| = √16 = 4

|v| = √(-3)²+(-3)²

|v| = √9+9

|v| = √18

|v| = 3√2

|u||v| = 4×3√2 = 12√2

theta = arccos(-12/12√2)

theta = arccos(- 1/√2)

theta = -45°

Since cos is negative in the second quadrant, theta = 180-45°

theta = 135°

To get u•v using the formula u•v = |u||v|cos theta

Given |u||v| = 12√2 and theta = 135°

u•v = 12√2cos 135°

u•v = 12√2× -1/√2

u•v = -12√2/√2

u•v = -12

For the diagram of the vectors, find it in the attachment below.

Answer:

Check the graph below for the sketch.

\(\theta=135^{\circ}\)

Step-by-step explanation:

1) Let's organize the data from these Latex codes.

\(\vec{\mathbf{u}}=\left \langle 4,0 \right \rangle\:and\: \vec{\mathbf{v}}=\left \langle -3,-3 \right \rangle\)

2) Sketching them (Check below). Notice that we are going to use the coordinates of each vector.

3) To find the angle between the vectors, we need to remember the Theorem:

If there is an angle between two vectors a and b, then we can calculate its angle using this relation:

\(a*b=\left \| a \right \|\left \| b \right \|*cos\theta\)

3.1) Then we need the Dot product between u and v. The Dot product is going to give us a scalar value for a product between vectors.

We will also need the norm of each vector. The norm will tell us the length of each one.

\(\vec{u}*\vec{v}=\vec{u}*\vec{v}=4(-3)+0(-3)=-12\\\left \| u \right \|=\sqrt{4^2+0^2 }= \left \| u \right \|=4, \\\left \| v \right \|=\sqrt{(-3)^2+(-3)^2}, \left \| v \right \|=18=3\sqrt{2} \left\\\)  

3.2)

Now, we can plug these pieces of information from 3.1 and 3.2 and find the angle:  

\(cos\theta=\frac{uv}{\left \| u \right \|\left \| v \right \|}=\frac{4*-3+(0)(-3)}{12\sqrt{2} }=\frac{-12}{ 12\sqrt{2} }\\\theta=cos^{-1}(\frac{-12}{ 12\sqrt{2} })\rightarrow \theta\approx 135^{\circ}\)  

Answer:

A

Step-by-step explanation:

as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.

Answer:

Step-by-step explanation:

In this problem, we are expected to convert from miles per hour to feet per minutes

given that the speed is 18miles per hour

also given is 1 mile is 5280

to carry out this conversion we proceed with the following operation

=18miles/hour*5280feet/miles*1hour/3600seconds

=95040/3600

=26.4feet/second

The answer is 26.4 feet per seconds

\(\boxed{\sf \dfrac{d}{dx}x^n=nx^{n-1}}\)

\(\boxed{\sf \dfrac{d}{dx}sinx=cosx}\)

Now

\(\\ \sf\longmapsto \dfrac{d}{dx}(x+1)sinx\)

\(\\ \sf\longmapsto 1+cosx\)

sin x + x · cos x + cos x

Step-by-step explanation:

f(x) = u · v → f'(x) = u' · v + u · v'

f(x) = (x + 1) sin x

f'(x) = 1 · sin x + (x + 1) · cos x

f'(x) = sin x + x · cos x + cos x

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

Filling the values we have;

Explanation:

Given the data on the given table, we want to fill them in a stem leaves plot.

The tens values would be in the stems while the unit values will be written in their corresponding leaves.

Filling the values we have;

Answer:

They Have the Same Rate of Change

Step-by-step explanation:

They have the same rate of change.

Since the slopes are equal, they increase by the same amount, even though they start at different "y" values.

Answer:

I think both are same,

If we do derivative

Answer:

(1 , -3)

Step-by-step explanation:

The system of linear equations intersect exactly at one point. This point where the two lines intersect is the solution of the system of equations.

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The  standard deviation is  \(\sigma = 2.45\)  

Step-by-step explanation:

From the given data we can compute the expected mean for each random values as follows

          \(E(X) = \sum [ X * P(X = x )]\\\\ X \ \ \ \ \ \ X* P(X =x )\\ 0 \ \ \ \ \ \ \ \ \ \ 0* 0.4 = 0 \\ 2 \ \ \ \ \ \ \ \ \ \ 2 * 0.3 = 0.6 \\ 4 \ \ \ \ \ \ \ \ \ \ 4 * 0.2 = 0.8\\ 6 \ \ \ \ \ \ \ \ \ \ 6* 0.1 = 0.6\)

So  

          \(E(x) = 0 + 0.6 + 0.8 + 0.6\)

          \(E(x) = 2\)

The  

             \(E(X^2) = \sum [ X^2 * P(X = x )]\\\\ X \ \ \ \ \ \ \ \ \ \ X^2 * P(X=x ) \\ 0 \ \ \ \ \ \ \ \ \ \ 0^2 * 0.4 = 0 \\ 2 \ \ \ \ \ \ \ \ \ \ 2^2 * 0.3 = 12 \\ 4 \ \ \ \ \ \ \ \ \ \ 4^2 * 0.2 = 3.2 \\ 6 \ \ \ \ \ \ \ \ \ \ 6^2 * 0.1 = 3.6\)

So  

        \(E(X^2) = 0 + 1.2 + 3.2 + 3.6\)

        \(E(X^2) = 8\)

Now  the variance is  mathematically evaluated as

         \(Var (X) = E(X^2 ) -[E(X]^2\)

Substituting value  

        \(Var (X) = 8-4\)

        \(Var (X) = 6\)

The standard deviation is mathematically evaluated as

       \(\sigma = \sqrt{Var(x)}\)

      \(\sigma = \sqrt{4}\)

      \(\sigma = 2\)

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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Answer:

The is is 8.25 or 8 1/4.

Step-by-step explanation:

Just divide 33 by 4 to get your answer.

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest and

Step-by-step explanation:

hope it's helpful for you

PLS MARK ABOVE GUY ANSWER AS BRAINLIEST

Answer: 138

Step-by-step explanation:

\(\angle KLJ \cong \angle MDF\) by the corresponding angles theorem.

Answer:

you can make 12 cans of them

Using proportions, it is found that the conversions are given as follows:

a) 175.89 rands were worth $14.07.

b) 56.56 dollars were worth 708.13 rands.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have the following proportion:

1 rand - 0.08 U.S. dollars.

Item a:

175.89 x 0.08 = $14.07, hence:

175.89 rands were worth $14.07.

Item b:

56.65/0.08 = 708.13, hence:

56.56 dollars were worth 708.13 rands.

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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Answer:

x=9

Step-by-step explanation:

Total is 90 degrees

6x+3x-9=90

9x-9=90

9x=81

x=9