If the number of molecules in 1 mole of a substance
is 6.02 x 1023, then the number of molecules in 100
moles is

Answer:

The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.

Step-by-step explanation:

You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x

=> x = 50 m / tan(86°)

x = 50 m / 14.30 = 0.98 m

9514 1404 393

Answer:

  4 : 1

Step-by-step explanation:

Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:

  2² : 1² = 4 : 1 . . . . . . ratio of triangle areas

Answer:

8) 31.4 ft

9) Scalene Triangle , and a right Triangle

10) 36 [tex]ft^{2}[/tex]

11) 2

12) 4/5

Step-by-step explanation:

8) Find last length

12^2+6^2=x^2

x=[tex]\sqrt{180}[/tex]

13.4

Perimeter = 13.4+12+6 = 31.4 ft

9)

10) area = 1/2 b*h = 1/2*12*6 = 36 [tex]ft^{2}[/tex]

11) slope = rise /run = 2/1 = 2

12) 80% will be girls, therefore 80/100 = 4/5

The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.

Since the particle is at the origin when x(t) = 0, we have:

[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]

Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.

Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).

Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):

v(t) = dx/dt

[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]

Now, we can find the velocity at t ≈ 2.944:

[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]

v(t ≈ 2.944) ≈ 16.885

So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

learn more on velocity :

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Answer:

48

Step-by-step explanation:

1/4 x = 12

x = 4*12

x=48

Answer:

3

Step-by-step explanation:

Answer:

2 feet away from the building

Step-by-step explanation:

Hope this helps!

Answer:

30√85 or 276.5863 meters

Step-by-step explanation:

Use pythag theorom. a^2+b^2=c^2

180^2+210^2=c^2

c=276.5863

Answer:

salamat po sa

points.

pa

Step-by-step explanation:

branlest

answer

po

Answer:

-5 ≤x≤6

[-5,6]

Step-by-step explanation:

The domain is the values that the input takes

x goes from -5 (inclusive) to 6 (inclusive)

-5 ≤x≤6

[-5,6]

Answer:

[-5, 6]

Step-by-step explanation:

    The domain of a function is the list of x values. Since the endpoints are shaded, that means those x values are included as well. Therefore, the domain of f is [-5, 6].

Answer:

.05x+50=55

100 minutes

Step-by-step explanation:

simplify

.05x=5 (subtract 50 on both sides)

5/.05=x

100=x

she can call for 100 minutes

Answer:

I got -1/2

Step-by-step explanation:

Answer:

1 -9 09u and than add

Step-by-step explanation:

Answer:

m'=7

Step-by-step explanation:

they are parallel to each other so if slope of 1st line be "m" and 2nd line as "m' ", then we have:

m = m'

y-4=7x+14

y=7x+18

y=mx+h

So m = 7

& m' = 7

Step-by-step explanation:

hope it helps thanks this is the answer

Answer:

4 7/20

Step-by-step explanation:

8 1/4 - 3 9/10

get a common denominator of 20

8 1/4 *5/5 - 3 9/10 *2/2

8 5/20 - 3 18/20

borrow 1 from the 8 in the form of 20/20

7 +20/20 + 5/20 - 3 18/20

7 25/20 - 3 18/20

4 7/20

Answer: 4.35

Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.

Answer:

166

Step-by-step explanation:

m =13

n = 12

m x n

= 13 x 12

= 166

Answer:

yes

Step-by-step explanation:

because i used my brain#

Answer:

17+5i

Step-by-step explanation:

add the like terms

double negative equals positive

;)

Answer:

17+i

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

[tex]\frac{16}{72}[/tex] ( divide numerator/ denominator by 8, the LCM of 16 and 72 )

= [tex]\frac{2}{9}[/tex]

[tex]\frac{18}{81}[/tex] (divide numerator/ denominator by 9 the LCM of 18 and 81 )

= [tex]\frac{2}{9}[/tex]

Both rational numbers simplify to [tex]\frac{2}{9}[/tex] and are equivalent

Answer:

a = 3x

b = -6x^2

c = 4

Step-by-step explanation:

to find b we have to multiply (x - 3) with 2x^2

= 2x^3 - 6x^2

b = - 6x^2

to find a

in the second step of division to get -9x

we have to multiply x - 3 with 3x

a = 3x

to find c we have to add next term after x in the first equation that is 4

in equation 8x + 4

so c = 4

Answer:138

Step-by-step explanation:

2x+49=5x+19

x=10

mqp = 7x+68

mqp = 138

Answer:

y = |x| + 5

Step-by-step explanation:

Calculate the points with x = -4 to 4 and match the plots.  (Attached)

Answer:

70%

Step-by-step explanation:

Answer:

1

a+1

es posible q hayan doble respuesta

Step-by-step explanation:

Pasos  

a+b/b

Divide b entre b para obtener 1.

da

d

​

(a+1)

La derivada de un polinomio es la suma de las derivadas de sus términos. La derivada de cualquier término constante es 0. La derivada de ax  

n

 es nax  

n−1

.

a  

1−1

Resta 1 de 1.

a  

0

Para cualquier término t excepto 0, t  

0

=1.

1

a+b/b

Divide b entre b para obtener 1.

a+1

Answer:

triangle 1. 10•6=60m²

triangle 2. 25•14= 350cm²

* in case u need help, to find the area of a triangle use this formula;

b • h = a

base • height = area

hope this helps

#1

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}BH[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}(6)(10)[/tex]

[tex]\\ \sf\longmapsto 3(10)=30m^2[/tex]

#2

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}(25)(14)[/tex]

[tex]\\ \sf\longmapsto 25(7)[/tex]

[tex]\\ \sf\longmapsto 175cm^2[/tex]

Answer:

well its -2*-3-3 so

-2*-3 is 6-3 is 3

Step-by-step explanation:

Answer:

8.45

Step-by-step explanation

Convert 65% in decimal form

0.65 x 13 = 8.45