Write the equation of the line in the slope intercept form?

Answer:

Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:

f(x) > g(x) para todo x ∈ (a, b)

Entonces calculamos:

[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]

Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.

Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.

es decir, si:

f(x) ≥ g(x)  para x ∈ (a, n)

g(x) ≥ f(x) para x ∈ (n, b)

entonces el área estará dada por:

[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]

Given:

Kiosk is the combination of a cylinder and a cone.

Diameter of cylinder and cone = 5 m

Height of the cylinder = 3 m

Height of the cone = 2 m

To find:

The volume of the kiosk.

Solution:

We know that the radius is half of the diameter. So,

Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m

                                               = [tex]2.5[/tex] m

Volume of the cylinder is:

[tex]V_1=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get

[tex]V_1=(3.14)(2.5)^2(3)[/tex]

[tex]V_1=(3.14)(6.25)(3)[/tex]

[tex]V_1=58.875[/tex]

Volume of a cone is:

[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get

[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]

[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]

[tex]V_2\approx 13.083[/tex]

The volume of the kiosk is the sum of volume of cylinder and the volume of cone.

[tex]V=V_1+V_2[/tex]

[tex]V=58.875+13.083[/tex]

[tex]V=71.958[/tex]

[tex]V\approx 72[/tex]

Therefore, the volume of the kiosk is 72 cubic meter.

Answer:

it is number 1

Step-by-step explanation:

i asked my teacher

Answer: 3 or 4, this question isnt exactly possible to answer

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

f(4) = 3(4²) - 2(4)

= 3(16) - 8

= 48 - 8

= 40

when x=4, f(x) = 40

Answer:

not sure but I think the answers c

Answer: B. 4.11

Step-by-step explanation:

Using Binomial distribution  ( as the arrival times of workers are independent).

Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.

As per given ,

p= 0.06, n=300

Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]

[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]

Hence, the correct option is B.

Answer:

4x

Step-by-step explanation:

[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]

[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]

Answer:

-12, 0

Step-by-step explanation:

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

Now, we use a rule of three:

If:

And we calculate:

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

Step-by-step explanation:

a. represent the man's current age by n. Two years ago his age was n - 2.

b. Multiplication of n by the product of y and z would be (y×z)×n.

Answer:

a=18-3 and b=32÷8

Step-by-step explanation:

the first one

Answer:

Sorry but where r the questions

Step-by-step explanation:

6×11-x= -72

hope you understood it please mark me as brainliest

Answer:

2

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Perimeter of the rectangle = 34 ft

Length of the rectangle = 3(x-2) ft

Width of the rectangle = 4x-7+(-2x) ft

= 4x - 7 - 2x

= 2x - 7 ft

Perimeter of a rectangle = 2(length + width)

34 = 2{3(x-2) + 2x - 7 }

34 = 2{3x - 6 + (2x - 7)}

34 = 2(3x - 6 + 2x - 7)

34 = 2(5x - 13)

34 = 10x - 26

34 + 26 = 10x

60 = 10x

x = 60/10

x = 6

Length of the rectangle = 3(x-2) ft

= 3(6 - 2)

= 3(4)

= 12 ft

Width of the rectangle = 2x - 7 ft

= 2(6) - 7

= 12 - 7

= 5 ft

Answer:

-6

Step-by-step explanation:

Substitute as in replace "w" with 4

10-4(4)

Multiply -4 and 4

-16

10-16=-6

Hope this helps

Answer:

-6 it wouldnt let me post this without having 20 letters in my answer

Step-by-step explanation:

10 - 4*4 = -6.

Answer:

79 sq in

Step-by-step explanation:

cut it into separate shapes then add the areas of each individual

(4 x 3) + (13 x 4) + (3 x 5)

Answer:

Draw a C plane and plot the dots if the coordinates

Answer:

it's a triangle draw the chart

Answer:

Step-by-step explanation:

7.3

Answer:

7.3

Step-by-step explanation:

22/3 = 22/3

(Decimal: 7.333333)

Answer:

D. 32

Step-by-step explanation:

Magnitude: 24.93 mph

Direction: 9.37°

A javelin thrower throws her javelin at an angle of 13o

cos13°=v1/18

v1=cos13° * 18= 17.54mph

v=v1+7

   17.54+7=24.54 mph

sin13°=v2/18

v2=sin13° * 18= 4.05mph

tan ∅ =v2/v=0.165

∅ =9.37°

cos ∅ =v/v3

v3=24.54/cos 9.37=24.93

Multiply the acceleration by the time the object is being accelerated. For example, if an object falls for 3 seconds, multiply 3 by 9.8 meters per second squared, which is the acceleration from gravity. The resultant velocity in this case is 29.4 meters per second.

join the tail of the first vector with the second vector's head and put the arrowhead. To determine the magnitude, measure the length of the resultant R, and find out the direction.

Learn more about resultant force:https://brainly.com/question/14626208

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Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get

Given:

The data points are:

(1, 0), (2, 3), (3,1), (4,4), (5,5)

To find:

The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.

Solution:

The general form of best fit line is:

[tex]y=mx+b[/tex]              ...(i)

Where, m is the slope of best fit line and b is the y-intercept of the line.

Using the graphing calculator, we get the equation for the best fit line and the equation is

[tex]y=1.1x-0.7[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]b=-0.7[/tex]

Therefore, the value of b is equal to -0.7.

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

i think its C.No;the system has many solución

Answer:

thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe

Answer:

Step-by-step explanation:

The relation is not a function!

Step-by-step explanation:

The given system of inequalities are :

y < 2x - 5 ...(1)

y> -3x + 1 ....(2)

For equation (1),

When x = 0, y<-5

For equation (2),

When x = 0, y>1

The attached figure shows the graph of the given inequalities.