5/9 x 9=?

simplify if possible and show the work​

Answer:

Slide 2 then 1 then 3

Answer:

36x

Step-by-step explanation:

OF= 6x (given radius of circle)

OB=OF+FB

= 6x +6x(given OF=FB)

= 12x

Angle D= angle B and angle O= 60°( given arc EF is 60°)

D + B + O= 180° ( sum of angles in a triangle)

x + x + 60= 180° ( let the value of remaining angles be x and D= B)

2x= 180 -60

x = 120/2

x= 60°

now, triangle DOB is a equilateral triangle because all angles are equal.

so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)

so,

perimeter of DOB= OB+DB+OD

= 12x+12x+12x

= 36x

follow me if this was helpful

Answer:

Step-by-step explanation:

1) x²  -x - 20 > 0

x² - 5x + 4x - 20 > 0

x( x - 5) + 4(x - 5) > 0

(x - 5)(x + 4) > 0

x - 5 > 0    ; x + 4> 0

x > 5         ; x  < -4

3)  x² + 9x + 14 > 0

x² + 7x + 2x + 14 > 0

x(x + 7) + 2(x + 7)  > 0

(x + 7) (x + 2) > 0

x < - 7  and x > -2

4) r² - 10r + 16 > 0

r² - 8r  -2r + 16 > 0

r(r - 8) - 2(r - 8) > 0

(r - 8)(r - 2) > 0

r < 2  ; r > 8

16p^4 + 4p^3 = 4p^3(p + 1)

The greatest common factor is 4p^3

then the factored form is:

4p^3(p + 1)

Answer:

4p^3(p + 1)

The slope of the line that passes through the given points is equal to 3/5.

Given the following data:

Points on x-axis = (2, 5).

Points on y-axis = (1, 6).

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given points into the formula, we have;

Slope = (5 - 2)/6 - 1)

Slope = 3/5

In conclusion, the slope of the line that passes through the given points is equal to 3/5.

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Answer:

x=1

Step-by-step explanation:

Algebraically

1. Move all variables to one side.

       -2x+6=5x-1

      +2x      +2x

        6=7x-1

2. Move constants to the opposite side of the variables.

        6=7x-1

        +1     +1

        7=7x

3. Cancel out the coeffients of variables.

        7=7x

       /7  /7

        1=x

Graphically

1. Establish your equations to graph.

    -2x+6=5x-1 means y=-2x+6 and y=5x-1

2. Make a table. (I suggest getting some points around the origin like -2, -1, 0, 1, 2 just to get a feel for what directions each graph is going)

   x    y=-2x+6    y        x     y=5x-1     y

   -2   -2(-2)+6   10       -2    5(-2)-1   -11

   -1    -2(-1)+6     8       -1     5(-1)-1     -6

   0    -2(0)+6     6       0     5(0)-1      -1

    1    -2(1)+6      4        1     5(1)-1       4

    2   -2(2)+6     2        2    5(2)-1      9

3. Plot your points and connect them with their respective equation.

4. Find the intersection.

The point at which the lines cross is where the answer for x is. Note in the graph it will be at (1,4) where 1 is the x-value in question.

The feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

Subtraction is the resultant number which is obtained by reducing a number with another. Let a number a is subtracted with the another number b. Then the subtraction of these two number will be,

\(D=a- b\)

Here, (a, b) are the real numbers.

Rosa has 15 yards of ribbon. She uses 8 feet of ribbon to tie gift bags. Let suppose she has left n feet of ribbon. Thus,

\(n=15-8\\n=7\)

Thus, the feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

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Answer: Rosa has 5 feet left of her ribbon

Step-by-step explanation:

Step-by-step explanation:

its to much but i solved only 2 i hoped i help

Answer:

720º

Step-by-step explanation:

We can use vertical angles to figure this out. We can see that each of the unmarked angles in the triangles is a vertical angle to an empty space. A full circle has the measure of 360º. We need half of that which is 180º.

The sum of the angle measures of a triangle is 180º. We have five triangles so the total angle meaure is 900º.

However, we need to subtract the 180º to get 720º.

The sum of the marked angles, which are made by the coinciding of the five line segments at a point, is 720 degrees.

When the two lines crosses each other from a point of Intersection, some angles formed between them. Opposite angles formed by the interacting lines are equal.

Five line segments coincide at a point as shown. These line segment makes five triangles.

The measure of all the angle of a triangle is 180 degree. Thus, the measure of all the angle of five triangles is,

\(5\times180^o=900^o\)

One full revolution is equal to 360 degrees. Here, the angles which are not marked are vertical angles with measure half of the revolution (180 degrees).

Thus, the measure of the marked angles is,

\(900-180=720^o\)

Thus, the sum of the marked angles, which are made by the coinciding of the five line segments at a point, is 720 degrees.

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Answer:

\(352.5cm^{2}\)

Step-by-step explanation:

\(A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}\)

Answer:

C is the correct answer

The bat colony will cover an area of 80,000 square miles in 1.612 hours.

A circle is the collection of all the points together in plane that are equally distant from the a given point known as the circle's center. A circle is represented by the symbol. A radius of a circle is a line segment that connects the center of a circle toward any point on the circle.

Now, as per the given question;

The area covered (A) by the colony, evaluated in square miles, is depicted by the mentioned geometrical formula as the bat colony emerges from a cave & spreads out in a circular pattern:

A = π R²

R = the bat's distance from the cave, calculated in miles.

Furthermore, each bat moves at a constant speed, and distance is depicted by the following kinematic formula:

R = r₀ + rΔt

r₀ = The bat's initial distance from the cave, estimated in miles.

r = Bat speed, estimated in miles per hour.

Δt = Time, expressed in hours.

Substitute the value of R in the formula of area.

A = π (r₀ + rΔt)²

(r₀ + rΔt)² = A/ π

(r₀ + rΔt) = √(A/ π)

rΔt = √(A/ π) - r₀

Δt = (√(A/ π) - r₀)/r

r =  99 miles per hour

The distance between the bat and the cave has now been substituted, and time has been cleared:

A = area of 80,000 square miles

π = 3.14

r₀ = 0 miles per hour

Substituting all the values in the A we calculate the time.

Δt = (√( 80,000/3.14) - 0)/99

On solving;

Δt = 1.612 (approx)

Thus, It will take 1.612 hours for the bat colony to cover an area of 80,000 square miles.

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The complete question is-

The Brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use pi = 3.14.

Answer:

-1/8

Step-by-step explanation:

When slopes are perpendicular that means it's completely opposite.

The opposite of 8 is 1/8

But 8 is positive that means we have to make the pereldicular slope negative

Therefore your answer is -1/8

Hope this helps p,z mark brainliest!

Answer:

-1/8

Step-by-step explanation:

Answer: $466.1

Step-by-step explanation:

100*(1.08)^20=

100*4.661=$466.1

Your sentence:

16 < 4x

Answer:

x=11

Step-by-step explanation:

the angles shown are supplementary so they will add up to equal 180 so we write the equation 180=5x+10x+15 and solve for x

step 1 combine like terms

180=15x+15

step 2 subtract each side by 15

165=15x

step 3 divide each side by 15

x=11

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The altitude of the plane at the George Washington Bridge is approximately 0.2095 miles (or 1,106 feet) above sea level, plus whatever the height of the bridge is.

Altitude refers to the height of an object or location above a specific reference point, usually the Earth's sea level. In aviation, altitude is often used to describe the height of an aircraft above sea level, and is measured in feet or meters.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It involves the study of trigonometric functions, which are functions of an angle, and are used to relate the angles and sides of a right triangle.

In the given question,

To solve this problem, we need to use trigonometry and the fact that the plane descended at a 2° angle. Let's assume that the altitude of the plane at the George Washington Bridge is h feet.

Using trigonometry, we know that the tangent of the angle of descent is equal to the difference in altitude divided by the horizontal distance traveled. In this case, we have:

tan(2°) = (h - e) / 6

To solve for h, we need to isolate it on one side of the equation. Multiplying both sides by 6, we get:

6 tan(2°) = h - e

Adding e to both sides, we get:

h = 6 tan(2°) + e

We can use a calculator to find the tangent of 2°, which is approximately 0.03492. Substituting this value and the given distance of 6 miles into the equation, we get:

h = 6(0.03492) + e

h = 0.2095 + e

Therefore, the altitude of the plane at the George Washington Bridge is approximately 0.2095 miles (or 1,106 feet) above sea level, plus whatever the height of the bridge is.

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Answer:

Given: An Isosceles Triangle ABC with a vertex at B.

Midpoint M of the base AC.

To Prove: BM is perpendicular to AC.  

Proof:

Let the coordinates of the points of the isosceles triangle be given as:

A =  (-k, 0)

Vertex, B =  (0,a)  

C = (k, 0)

Midpoint, M = (0,0)

Slope of the base segment, AC:

\(=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}\)

Slope of the base segment,  AC= \(\dfrac{0}{2\cdot k}=0\)

Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.

\(\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\\)

\(\text{Slope of BM = } \dfrac{-a}{0}\)  = Undefined

Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.

Since \(-\dfrac{a}{0}\) is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.

This concludes the proof.

Mixed number as a percent of 1/200 is 0.5%.

Certainly! When we convert a fraction to a percent, we are expressing the fraction as a value out of 100.

In the case of 1/200, we divide the numerator (1) by the denominator (200) to get the decimal value 0.005. This means that 1 is 0.005 times the value of 200.

To express this as a percent, we multiply the decimal value by 100. This gives us 0.005 * 100 = 0.5. So, 1/200 is equal to 0.5 as a decimal.

Finally, to represent this as a percent, we add the percentage symbol (%), resulting in 0.5%. This means that 1/200 is equal to 0.5% or 0.005 as a decimal.

Converting fractions to percentages allows us to express fractions in a more familiar and standardized form that represents the value out of 100.

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Answer:

  8006 km

Step-by-step explanation:

The radius of the Earth can be used to find the circumference. The difference in latitude compared to the full circle of 360° will give the fraction of that circumference that is the distance of interest.

Reportedly, the radius of the Earth is about 6371 km. Then the circumference is ...

  C = 2πr

  C = 2π(6371 km) ≈ 40,030.2 km

The angle between the two cities as measured at the center of the Earth is given by the difference in latitude. We can consider North Latitude to be positive, and South Latitude to be negative. Then the difference is ...

  (10° -(-62°)) = 72°

As a fraction of the full central angle, that is ...

  72°/360° = 1/5

This fraction of the entire circumference is ...

  (1/5)(40,030.2 km) ≈ 8,006 km

The distance between the two cities is about 8,006 km.

__

Additional comment

The shape of the Earth is called an "oblate spheroid." It has a bulge south of the equator, so is not a perfect sphere. Reportedly the longitudinal circumference is about 40,075 km, a little farther than we computed. One-fifth of that distance is 8015 km.

Okay, here we have this:

Considering the provided graph we are going to identify the requested vertex and decide whether it is a maximum point or a minimum , so we obtain the following:

Let us remember that the lowest or highest point is the vertex of the parabola. In this case we can see that the highest point is (-1, 9). So the vertex is (-1, 9), and since it is the highest, then it will be a maximum.

In the image you can see the vertex drawn in blue.

Answer:

29

Step-by-step explanation:3*10=30

1*1=1

30-1=29

Answer:

Michael drove faster than Jordan.

Step-by-step explanation:

Speed

The speed is the ratio between the distance d traveled by an object and the time t it took to move. In terms of a mathematical equation, it's expressed as:

\(\displaystyle v=\frac{d}{t}\)

Michael drove 210 miles in 3 and one-half hours. The parameters to calculate the speed are: d= 210 miles, t = 3.5 hours. The speed of Michael is:

\(\displaystyle v_M=\frac{210}{3.5}=60\ mi/h\)

Jordan drove 330 miles in 6 hours, thus his speed is:

\(\displaystyle v_J=\frac{330}{6}=55\ mi/h\)

It's clear that Michael drove faster than Jordan.

Answer:

y  = 8x + 3

Step-by-step explanation:

The line we are describing here is line p;

 slope of line p = 8

  y- intercept = (0,3)

y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0

So;

  Slope of the line = 8

   y-intercept  =  3

Equation of the line;

       y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

      y  = 8x + 3

The frequency with the largest amplitude is `w ≈ 2.303` (rtol=0.01, atol=1e-08).

The question asks us to find the frequency w for which the particular solution to the differential equation \(dạy dy 2- + dt2 + 2y = eiwt dt\)has the largest amplitude.

We can assume a positive frequency w > 0.

Let's find out how to solve this problem:

We need to find the particular solution in the form Aeiwt, and then minimize the modulus of the denominator of A over all frequencies w. It means the denominator of A will have a maximum amplitude if we minimize the modulus. The amplitude of the solution is given by the value of |A|.

Let us assume the particular solution to be `\(y = Aeiwt`.\)

Substitute the above solution in the given differential equation.

Then, we get:\(`d^2(A e^(iwt))/dt^2 + 2(A e^(iwt)) = e^(iwt)`\)Applying the differential operator on the above equation,

we get: \(`(iwt)^2 A e^(iwt) + 2A e^(iwt) = e^(iwt)`Therefore, `A = 1 / (1 - (w^2) + 2i)`.\)

Thus, the amplitude of the particular solution is:

\(`|A| = 1 / sqrt((1 - w^2)^2 + 4w^2)`\)

Now, we need to minimize the above expression to get the frequency w at which the amplitude of the particular solution is maximum. This can be done by minimizing the modulus of the denominator of A over all frequencies w.To minimize the above expression, we take the derivative of the expression with respect to w and equate it to zero, which gives us: \(`(8w^2) / ((w^2 - 1)^2 + 4w^2)^(3/2) - (2(w^2 - 1)) / ((w^2 - 1)^2 + 4w^2)^(3/2) = 0`\)

Simplifying the above expression, we get: `

\(2w^2 = w^4 - 3w^2 + 1`\)

Therefore, \(`w^4 - 5w^2 + 1 = 0`.\)

Solving the above equation gives us:

`\(w^2 = (5 ± sqrt(21)) / 2`\).Since we know that w > 0, we choose the positive value of w.

Thus, the value of w is: \(`w = sqrt((5 + sqrt(21)) / 2)` or `w ≈ 2.303\)`.

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Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)