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alexandr402 [8]
3 years ago
11

Solve this literary equation: 15= -3(2c+d)

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

15=-6c-3d

Step-by-step explanation:

If 15=-3(2c+d)

=15=(-3×2c) - (-3×d)

=15=-6c-3d

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wo point charges lie on the $x$ axis. A charge of +6.24 $\mu C$ is at the origin, and a charge of -9.55 $\mu C$ is at $x$ = 12.0
Andreyy89

Answer:

E_n=34,467,075.42\ N/C

Step-by-step explanation:

<u>Electric Field</u>

The electric field produced by a point charge Q at a distance d is given by

\displaystyle E=K\cdot \frac{Q}{d^2}

Where

K = 9\cdot 10^9\ Nw.m^2/c^2

The net electric field is the vector addition of the individual electric fields produced by each charge. The direction is given by the rule: If the charge is positive, the electric field points outward, if negative, it points inward.

Let's calculate the electric fields of each charge at the given point. The first charge q_1=+6.24\mu C=6.24\cdot 10^{-6}C is at the origin. We'll calculate its electric field at the point x=-3.85 cm. The distance between the charge and the point is d=3.85 cm = 0.0385 m, and the electric field points to the left:

\displaystyle E_1=9\cdot 10^9\cdot \frac{6.24\cdot 10^{-6}}{0.0385^2}

E_1=37,888,345.42\ N/C

Similarly, for q_2=-9.55\mu C=-9.55\cdot 10^{-6}C, the distance to the point is 12 cm + 3.85 cm = 15.85 cm = 0.1585 m. The electric field points to the right:

\displaystyle E_2=9\cdot 10^9\cdot \frac{9.55\cdot 10^{-6}}{0.1585^2}

E_2=3,421,270\ N/C

Since E1 and E2 are opposite, the net field is the subtraction of both

E_n=37,888,345.42\ N/C-3,421,270\ N/C

\boxed{E_n=34,467,075.42\ N/C}

6 0
3 years ago
Factorization of 13x2 + 5x - 13x- 5 is
Nesterboy [21]

Answer:

Step-by-step explanation:

really

12x+-4y=34x

4 0
2 years ago
(09.04 MC)
Juliette [100K]

Answer:

central angle=18

arc length=2.5 π feet

area of a sector=31.25π square feet

Step-by-step explanation:

Given

wheel radius=25 feet

attached cars=20

Space between cars along the circumference of wheel= 360/20

                                                                                          =18

Finding arc length:

arc length= radius x angle(in radians)

 angle in radian = 18 x π/180 = 0.1π radians

arc length   = 25 x 0.1π

                 =2.5π feet  

Area of the circle = πr^2

Area of the circle = π(25)^2

Area of the circle = 625π square feet.  

As the ratio of the central angle to the full circle angle is proportional to the area of the sector to the complete circle:

central angle/360=area of sector/area of circle

Area of sector= area of circle x 18/360

                       = 625π(1/20)

                        =31.25π !

3 0
3 years ago
If the common difference in an arithmetic sequence is 4, and the 20th term is 36, what is the first term?
makvit [3.9K]
4 difference, subtract 20 point - 1st point, =19, 19 places x difference of 4= 76 more or less than 36. More would be 112, less would be -40. A and C are both 40 while choice B = the difference so I'd say it's supposed to be 1 of the 40's but it's missing the negative sign
8 0
2 years ago
At 5:00 p.m., Vera took 400 milligrams
olganol [36]

Answer:

61.68 mg

Step-by-step explanation:

Given the table :

5:00pm - 400mg

6:00pm - 350mg

7:00pm - 306.25mg

First we obtain the percentage rate at which the drug leaves her system per hour :

Take between 5-6 pm

((400 - 350) / 400) * 100%

(50 / 400) * 100%

0.125 * 100%

= 12.5%

.we can use the exponential function :

A = P(1 - r)^t

r = rate, t = time (hours) ; P= initial amount ; A = final amount

Mg of medicine left when she wakes up at 7:00 am

t = 7:00am - 5:00 pm = 14 hours

P = 400 mg

r = 0.125

A = 400(1 - 0.125)^14

A = 400 * 0.1542100

A = 61.68402913

About 61.68 mg

5 0
3 years ago
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