Guys, anyone pls help me.. ​

Answer:

#1 Obtuse Scalene, #2 Right Scalene, #3 Acute Equilateral, #4 Acute Isosceles

Step-by-step explanation:

Answer:

hard

Step-by-step explanation:

I have never seen this before

Answer:

n + (n + 1) = -33

Step-by-step explanation:

First integer = n (given)

Therefore, second integer = (n + 1)

According to the given information:

n + (n + 1) = - 33

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Diagram

x = ?

y = ?

z = ?

Step 02:

Similar Triangles

15 * 20 = z * z

300 = z ²

x ² + 15 ² = z ²

y² + z² = 20²

The answer is:

x = √75 = 5√3

y = 10

z = √300 = 10√3

The solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

The solution to the differential equation dy/dt + 2y = 0 can be found by separating the variables and integrating both sides.

First, separate the variables:
dy/dt = -2y

Next, integrate both sides:
∫dy/y = ∫-2dt

This gives us:
ln(y) = -2t + C

Now, solve for y:
y = e^(-2t+C)

Since we know that y(0) = 3, we can plug in 0 for t and 3 for y to solve for C:
3 = e^(C)
C = ln(3)

So the solution is:
y = e^(-2t+ln(3))

Simplifying further gives us:
y = 3e^(-2t)

Therefore, the solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

You can learn more about differential equation at

https://brainly.com/question/1164377

#SPJ11

Answer:

somos

Step-by-step explanation:

somos means us

Ricardo and us

When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

Step 1: Create an equation that connects a sphere's volume to radius as the first step.

V = 4/3*π*r³

Step 2: Calculate each side's derivative in respect to time (Let the time be "t").

(d/dt)V = (d/dt)(4/3*π*r³)

dV/dt = 4πr²*dr/dt

Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.

Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.

We are interested in dV/dt, or the rate of change of the sphere's volume.

dV/dt = 4π(30mm)²*(2mm/s)

dV/dt = 22,620 mm³/s

So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

To know more about the volume change, here

https://brainly.com/question/25736513

#SPJ4

Here, we are supposed to find the value of the stock. Let's begin by determining the expected dividends: Expected dividends1st year dividend (D1)

= $1.55(1 + 26.56%)

= $1.96Second-year dividend (D2) = $1.96(1 + 26.56%) = $2.48Third-year dividend (D3)

= $2.48(1 + 26.56%)

= $3.

= D1/(1+r)^1 + D2/(1+r)^2 + D3/(1+r)^3 + D4/(1+r)^4...∞Where r

= required rate of return Let us substitute the values now PV of the future dividends

= $1.96/(1 + 14.40%)^1 + $2.48/(1 + 14.40%)^2 + $3.14/(1 + 14.40%)^3 + $3.25/(1 + 14.40%)^4...∞PV of the future dividends = $1.96/1.1440^1 + $2.48/1.1440^2 + $3.14/1.1440^3 + $3.25/1.1440^4...∞PV of the future dividends

= $1.72 + $1.92 + $2.04 + $1.86...∞PV of the future dividends

= $7.54We know that the value of the stock is the present value of the expected dividends, so we can calculate it as follows: Value of the stock

= PV of the future dividends Value of the stock

= $7.54

To know more about future visit:

https://brainly.com/question/1621783

#SPJ11

The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

Read more about  arrhenius equation at; https://brainly.com/question/13467424

#SPJ1

Answer:

A) 250

B) 1250

Step-by-step explanation:

Amount = 125 x no. People

A) amount = 125 x 2 =250g pasta

B) amount = 125 x 10 =1250g pasta.

Hope this helped!

Answer:

9/28 and 32.1%

Step-by-step explanation:

So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)

This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.

The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.

Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: \(0.3214\). Multiplying this by 100 gives you: \(32.1\)%

Answer:

1,120/580 equals to 56/29 or 1 27/29

Step-by-step explanation:

Make these fraction into improper fractions

Then divide 140/4 by 145/8

Answer:

y=-3(x+0)^2 +1

Step-by-step explanation:

hope this helps

The maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.

Making the Most of Total Revenue and Total Cost Data. Just multiply the price by the quantity at each quantity to find the company's total revenue. Next, deduct the company's total cost at each quantity, which is provided in the table.

Let the number of geese be x and the number of pigs be y

From the given information, we can form the following inequalities:

x ≤ 10

y ≥ 05

x + 15y ≤ 180

Maximize 6x + 20y.

We want to find the intersection points of the first three equations since x and y are bounded within the area under these

These points are (0,0), ( 10,0), (0,12), (10,65/3).

At (0,0) , the profit is $0

At ( 10,0), the profit is $60

At (0,12) , the profit is $240

At (10,65/3) , the profit is $499.33

To know more about inequalities visit :-

https://brainly.com/question/20383699

#SPJ1

Answer:

81

Step-by-step explanation:

it is asking only for the difference nothing else so do

14+67 because the value is in the - we use addition for this scenario if it's for example

difference between 10f and 50f you minus it

10-50 = 40

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

Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

Learn more about Dilation here:

https://brainly.in/question/30389359

#SPJ2

Answer:

The area of the figure is 90 yd²

Step-by-step explanation:

Dividing the shape into three leading to 3 rectangles

The area of a rectangle is length * breadth;

First section + Second section + Third section

(9 * 3) + ( 9 * 4) + (9 * 3) = 27 + 36 + 27 = 90 yd²

Answer:

74yd²

Step-by-step explanation:

You can divide into 3 rectangles from bottom down

Area = length x width

1st rectangle = 9 x 3 = 27yd²

2nd rectangle = 5x 4 = 20yd²

3rd rectangle = 9 x 3 = 27yd²

Add all the area

27 +20+27 = 74yd²

Another method

Find the area of the whole rectangle with the white area closed and included

Lenght 10yd, width 9yd

Area = 10 x9 = 90yd²

Find the area of the white area only

A = 4 x4 =16yd ²

Subract the area of the white square from the whole area of the rectangle

90 - 16 =74yd²

the first term of the above equation is equal to zero. And the second term is undefined. So, the integral is divergent. Hence, the integral ∫e^4 [infinity] dx/ x(ln x)^2 is divergent.

Given integral is:

∫\(e^4\) [infinity] dx/ \(x(ln x)^2\) Let, u = ln x and dv = e^4 / x dx

du = dx / x, v = 1/4 * e^4 [By integration]Using integration by parts formula i.e.

∫udv = uv - ∫vdu

Let's integrate given integral by applying the above formula.

∫e^4 [infinity] dx/ x(ln x)^2= [e^4/ln x]∞ -  ∫[e^4/ln x]∞ dx / x^2

= \([e^4/ln (∞)] - [e^4/ln 1] + ∫∞¹ 1/x^2 [e^4/ln x] dx\)

Here, the first term of the above equation is equal to zero. And the second term is undefined.

So, the integral is divergent. Hence, the integral

∫\(e^4\) [infinity] dx/ \(x(ln x)^2\)  is divergent.

To know more about divergent Visit:

https://brainly.com/question/31778047

#SPJ11

Answer: C

Step-by-step explanation:

You would work backwards. So it would be 1:00-2 hours so the answer would be 11:00 A.M

Our estimate for f(1.2) is 1.1 which satisfies differential equation.

To find the equation of the tangent line to the curve y = f(x) through the point (1,1), we first need to find the value of f(1) at x = 1. To do this, we can solve the differential equation given:

\(dy/dx = xy/2\)

Separating the variables, we get:

\(dy/y = x/2 dx\)

Integrating both sides, we get:

\(ln|y| = x^2/4 + C\)

Where C is the constant of integration. To find the value of C, we can use the initial condition that f(1) = 1:

ln|1| = 1/4 + C

C = -1/4

So our equation for f(x) is:
\(ln|y| = x^2/4 - 1/4\)

Simplifying, we get:

\(y = e^(x^2/4 - 1/4)\)

To find the equation of the tangent line through the point (1,1), we need to find the slope of the tangent line at x = 1. To do this, we take the derivative of f(x) and evaluate it at x = 1:

\(f'(x) = (1/2)x e^(x^2/4 - 1/4)f'(1) = (1/2)(1) e^(1/4 - 1/4) = 1/2\)

So the slope of the tangent line at x = 1 is 1/2. Using the point-slope form of a line, we get:

\(y - 1 = 1/2(x - 1)\)

Simplifying, we get:

y = 1/2 x + 1/2

To estimate the value of f(1.2), we can use our tangent line equation. Plugging in x = 1.2, we get:

\(y = 1/2(1.2) + 1/2 = 1.1\)

So our estimate for f(1.2) is 1.1.

Learn more about differential equation here:

https://brainly.com/question/30267790

#SPJ11

Answer:

this answer can't be solved because there are two variables we need at least value of at least one variable

Answer:

y/x=2-x/y+2

Step-by-step explanation:

Number 1  is B

Number 2 is D

No. of ways of selecting the 5 member committee by combination= 1981

What are the number of ways of selecting the 5 member committee ?

No. of women faculty in the mathematics department = 7

No. of men faculty in the mathematics department = 7

Total number of faculty members = 14

Condition - at least one woman must be on the committee

No. of ways of selection = C (14, 5) - C (7, 5)

We know that combination C(n , r) = \(\frac{n!}{(n-r)!r!}\)

Consider the total combination C (14, 5),

\(C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002\)              

Consider the combination of men C (7, 5) ,

\(C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21\)

No. of ways of selection = C (14, 5) - C (7, 5)

                                        = 2002 - 21

                                        =1981

No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981

To learn more about combinations, refer:

https://brainly.com/question/4658834

#SPJ4

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

To know more about orthogonal matrix,

https://brainly.com/question/31629623

#SPJ11

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

for more such question on rectangle visit

https://brainly.com/question/25292087

#SPJ8

Answer:

a = 2

b = 4

c = 8

Step-by-step explanation:

Remember the relationship:

\((a^{x})^{y} = a^{x*y}\)

First, in "a" we have:

a) \(8^{1/3} = \sqrt[3]{8} = 2\)

then in the next ones, we can use the result that we obtained in the part a:

b) \(8^{2/3} = (8^{1/3})^2 = (2)^2 = 4\)

Now we can do exactly the same in c:

c) where first we need to know that:

2*2*2*2 = 4*4 = 16

then:

2^4 = 16

then:

\(\sqrt[4]{16} = 16^{1/4} = 2\)

Now let's solve the problem:

\(16^{3/4} = (16^{1/4})^3 = (2)^3 = 2*2*2 = 8\)

The vector velocity at the taken point is 10.7 m/s in the direction of 18.50 degrees counterclockwise from the positive x-axis.

From the given equations, we can determine the x and y components of the velocity at the taken point. The x-component is given by (10.7 m/s) * cos(18.50°), and the y-component is given by (10.1 m/s) * sin(18.501°) - (9.80 m/s^2) * T_f.

Substituting the given values, we have:

x-component = (10.7 m/s) * cos(18.50°) ≈ 10.189 m/s

y-component = (10.1 m/s) * sin(18.501°) - (9.80 m/s^2) * T_f

Since the problem does not provide a specific value for T_f, we cannot determine the exact value of the y-component. However, we can still provide the magnitude and direction of the vector velocity at the taken point.

To find the magnitude, we can use the Pythagorean theorem:

Magnitude of velocity = √(x-component^2 + y-component^2)

To find the direction, we can use the inverse tangent function:

Direction = atan(y-component / x-component)

Using the values we have:

Magnitude of velocity ≈ √((10.189 m/s)^2 + (y-component)^2)

Direction ≈ atan(y-component / 10.189 m/s)

Since we cannot determine the exact value of the y-component without knowing T_f, we cannot provide the specific magnitude and direction. However, based on the given information, we can state that the vector velocity at the taken point has a magnitude of approximately 10.189 m/s and a direction of 18.50 degrees counterclockwise from the positive x-axis.

Learn more about x-axis here:

brainly.com/question/2491015

#SPJ11

Answer:

3,5 .4,4.6,8.

Step-by-step explanation:

tfjfkggkhhkjgiifkgftthvgyybf