Find the poles for the s-domain function F(s) = 80(s+3)/s(s+2)^2 Express your answers in radians per second to three significant figures. Enter your answers in ascending numerical order separated by commas.

Equations are statements that have equal values, when compared

The true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

The equation is given as:

\(x^2 + 10x = 11\)

Rewrite as:

\(x^2 + 10x - 11 = 0\)

Expand

\(x^2 + 11x - x - 11 = 0\)

Factorize

\(x(x + 11) -1( x + 11) = 0\)

Factor out x + 11

\((x -1)(x + 11) = 0\)

Solve for x

x = 1 or x = -11

Hence, the true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

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Answer:

sorry  dont't know  how  to  do  this  

Step-by-step explanation:

have a  nice day

Answer:

n = 100

Step-by-step explanation:

Step 1:

n × $3.05 = $305            Equation

Step 2:

n = $305 ÷ $3.05          Divide

Answer:

n = 100

Hope This Helps :)

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

[i] Area of Juan's garden:

Soln,

length(l)=16

width(w)=12

area(a)=?

Now,

a=l×w

=16×12

=192

[ii] Area of Matthew's garden:

Soln,

length(l)=18

width(w)=21

area(a)=?

Now,

a=l×w

=18×21

=378

So,the area ofJuan's garden=192

And

the area of Matthew's garden=378

Answer:

y=1-5x

Step-by-step explanation:

10x+2y=2

add subtract 10 from both sides

10x+2y=2

-10x. -10x

so now the equation should look like

2y=2-10x

then after that you have to get the Y variable alone so you have to divide everything by 2

2y÷2 = 2÷2 - 10x÷2

After you divide every term by 2 you slope intercept should be

y= 1-5x

please correct me if I am wrong

For p = (3, 5), the value of - 3p is (- 9, - 15).

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The values are,

⇒ p= (3, 5) and q = (-2, 10)

Now, We can find the value of - 3p as;

⇒ - 3 p

Substitute p = (3, 5) we get;

⇒ - 3 × (3, 5)

⇒ (3×- 3, - 3×5)

⇒ (- 9, - 15)

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Answer:

I'm stuck to.

Step-by-step explanation:

is there suppose to be an angle or a triangle?

Answer:

KL = 3.2 units

Step-by-step explanation:

To rewrite the law of sines using L, K, and J (l, k and j for the sides) instead of A, B, and C (a, b, and c for the sides), we have:

sin (L) / l = sin (K) / k = sin (J) = j

Before we can kind KL, we'll need to know the measure of J.  

In order to find J, we'll first need to find K by plugging in 105 for L, 4.7 for l, and 2.7 for k to find the measure of K:

Step 1:  Simplify on the left-hand side and multiply both sides by 2.7:

sin (105) / 4.7 = sin (K) / 2.7

(0.2055161333 = sin (K) / 2.7)

0.5548935598 = sin

Step 2:  Use inverse sine to find K:

sin^-1 (0.5548935598) = K

33.70338376 = K

The sum of the measures of the angles of any triangle is 180°.

Thus, we can find the measure of angle J by subtracting the sum of the measures of angles L and J from 180:

J + L + K = 180

J + 105 + 33.70338376 = 180

(J + 138.7033838 = 180) -  138.7033838

J =41.29661624

Now we can find the length of KL (aka j in the law of sines) by plugging in  105 for L, 4.7 for l, and 41.29661624 for J:

Step 1:  Simplify on the left-hand side:

sin (105) / 4.7 = sin (41.29661624) / j

0.2055161333 = sin (41.29661624) / j

Step 2:  Multiply both sides by j:

(0.2055161333 = sin (41.29661624) / j) * j

0.2055161333j = sin (41.29661624)

Step 3:  Divide both sides by 0.2055161333 to find j (aka KL):

(0.2055161333j = sin (41.29661624) / 0.2055161333

j = 3.211218937

j = 3.2

Thus, KL is approximately 3.2 units.

The approximate length of KL is 3.17 units, which is determined by the law of sines. The correct answer is option (D).

In triangle JKL:

∠L = 105°

JK = 4.7 units

JL = 2.7 units

To find the length of KL using the law of sines, we can use the following formula:

sin(A) / a = sin(B) / b = sin(C) / c

Here, A, B, and C are the angles of the triangle, and a, b, and c are the respective sides opposite those angles.

Let's find the length of KL (let's call it x).

We know that:

sin(A) = sin(∠J) = JL / x

sin(B) = sin(∠K) = JK / x

Since the angles in a triangle add up to 180°, we can find ∠J using:

∠J = 180° - ∠K - ∠L

∠J = 180° - ∠K - 105°

∠J = 75°

Now, we can set up the equation using the law of sines:

sin(75°) / JL = sin(105°) / JK

Now, plug in the given values:

sin(75°) / 2.7 = sin(105°) / 4.7

Let's solve for x:

x = JL * sin(105°) / (sin(75°) / JK)

x = 2.7 * sin(105°) / (sin(75°) / 4.7)

x ≈ 3.17 units

Thus, the approximate length of KL is 3.17 units.

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What is the approximate length of KL? Use the law of sines to find the answer.

A. 1.8 units

B. 2.0 units

C. 3.2 units

D. 3.7 units

Answer:

9/8

Step-by-step explanation:

x=(3/4)/2*3=9/8

Answer:9/8

Step-by-step explanation:divide 3/4 by 2/4

Answer:

-11

Step-by-step explanation:

-3+(-1)+(-5)+(-2)

-3+(-1)=(-4)

-4+(-5)=(-9)

-9+(-2)=(-11)

(-11)

HOPE THIS HELPS!!

9514 1404 393

Answer:

  A) 80°

Step-by-step explanation:

The sum of the angle measures in this hexagon is ...

  (6 -2)×180° = 720°

Then the value of x (in degrees) can be found from ...

  x + 2x = 720 -78 -134 -136 -132 = 240

  x = 240/3 = 80

The value of x is 80 degrees.

Answer:

A. 80°

Step-by-step explanation:

As we know that the sum of measures of angles of hexagon is 720 ° .

78° + 134 ° + 136 ° + 132 ° + 2x + x = 720°

combine like terms

480° + 3 x = 720°

subtract 480° from both side

480 ° - 480° + 3 x = 720° - 480°

3 x = 240°

Divide each side by 3

3x / 3 = 240°/3

x = 80 °.

Hence, value of x = 80°

Verification :-

if x = 80°

then ,

2x = 2 × 80° = 160°

Now, Sum of all angles of hexagon is

78° + 134 ° + 136 ° + 132 ° + 160° + 80° = 720°

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

A dilation is a function from a metric space into itself that satisfies the identity for all points, where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations  always  change the size but not the shape of  object or figure.

Answer: Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Hope this helped!

Sending U good luck!

Answer:

134 is the ONLY correct answer

Step-by-step explanation:

This is because it is asking for X, not the interior angle that's missing. You do need that angle to find the correct answer.

All triangles are equal to 180 degrees.

180-88-46=46

And all supplementary angles are equal to 180 degrees.

Therefore, 180-46 (as that is the only known angle) makes it 134 degrees.

67, 88 are not correct as one of them isn't obtuse and the other isn't to scale, 111 isn't correct as the math backs up 134 which is also an obtuse angle

.

Step-by-step explanation:

Using Triangle Intersection Theorem,

2(LM)=2+x

\(2(2x - 11) = 2 + x\)

\(4x - 2 2 = 2 + x\)

\(3x = 24\)

\(x = 8\)

Answer:

7/8 , 5/6

Explanation:

7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.

Answer:

\(37.7in.\)

Step-by-step explanation:

The circumference of a circle is: \(C=2\pi r\)

However, the question wants us to use 3.14 instead of \(\pi\).

We are given 12 inches as the diameter of the circle.

We want the radius, which is half of the diameter.

The radius of the circle is 6 inches.

Now that we have the radius, we plug and chug.

\(C=2*3.14*6in.\\C=6.28*6in.\\C=37.68in.\\\)

However, the question wants us to round the answer to the nearest tenth.

Therefore, the new answer is: \(37.7in.\)

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

Hopes this helps please mark brainliest

Assuming you mean isolate for x

Answer:

\(x=-1\)

Step-by-step explanation:

We can subtract \(4x\) from both sides to get \(3x-4x=4x-4x+1\).

That simplifies to \(-x=1\).

We can multiply by \(-1\) to get \(-x*-1=1*-1\).

That simplifies to \(x=-1\).

So, \(x=-1\) and we're done!

The density of the drink is 1.04 grams per cm³

Given:

density of grape juice = 1.07 grams per cm³, density of fruit syrup = 1.6 grams per cm³ and density of carbonated water = 0.99 grams per cm³

volume of grape juice = 35 cm³, volume of fruit syrup = 25 cm³ and volume of carbonated water = 310 cm³

First, find the mass of grape juice, fruit syrup and carbonated water using their volume and density:

density = mass / volume

=> mass = density × volume

mass of grape juice = 1.07 × 35 = 37.45 grams

mass of fruit syrup = 1.6 × 25 = 40 grams

mass of carbonated water = 0.99 × 310 = 306.9 grams

Total mass = 37.45 + 40 + 306.9  = 384.35 grams

Total volume = 35 + 25 + 310 = 370 cm³

density of the drink = Total mass / Total volume

density of the drink = 384.35 / 370 = 1.04 grams per cm³

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Explanation:

θ = greek letter theta = reference angle

Using the unit circle, you should find that when θ is pi/3, we have

Dividing sine over cosine gets us tangent

tan(θ) = sin(θ)/cos(θ) = sqrt(3)/2 divide over (1/2) = sqrt(3)

Effectively, the denominators '2' cancel out when dividing the two fractions. The result we get here is not sqrt(3)/2, so we can rule out choice A.

---------------

Choice B can be ruled out because

cos(0) = 1

sin(0) = 0

So,

tan(0) = sin(0)/cos(0) = 0/1 = 0

which doesn't match with y = pi

----------------

Following the same ideas as mentioned before:

cos(pi/4) = sqrt(2)/2

sin(pi/4) = sqrt(2)/2 ... it's not a typo, sine and cosine are the same here

tan(pi/4) = 1 after dividing the two items above

We end up with y = 1 as the screenshot shows, so (pi/4, 1) is one point on the graph of y = tan(x).

Choice C is one of the answers

----------------

Choice D however is not one of the answers because

sin(pi/2) = 1

cos(pi/2) = 0

tan(pi/2) = undefined, because the denominator cosine is 0 in this case

So there's a vertical asymptote at x = pi/2 for y = tan(x)

-----------------

Choice E is another answer, because,

sin(pi) = 0

cos(pi) = -1

tan(pi) = sin(pi)/cos(pi) = 0/(-1) = 0

This shows (pi, 0) is a point on y = tan(x).

The graph is shown below. Points C and E are on the blue tangent curve, while everything else isn't.

I used GeoGebra to create the graph. Desmos is also a handy tool that can perform similar tasks.