I need help with this problem ​

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Solution :

The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as

[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]

Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].

So substituting them in the linearization formula,

A. At t = 7 minutes

   f(7) = 2.5 km

    f'(7) = 0.5 kpm

  ∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]

             [tex]$=2.5+(t-7)0.5$[/tex]

              [tex]$=2.5+0.5t-3.5$[/tex]

              [tex]$=0.5t-1$[/tex]

B. At t = 18 minutes

      f(18) = 14.8 km

    f'(18) = 0.8 kpm

  ∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]

               [tex]$=14.8+(t-18)0.8$[/tex]

              [tex]$=14.8+0.8t-14.4$[/tex]

              [tex]$=0.8t-0.4$[/tex]

C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

[tex]$L_7(14)=0.5(14)-1.0$[/tex]

          = 7 - 1

          = 6 km

[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]

            = 11.2 + 0.4

            = 11.6 km

D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km

                                           = 3.5 km

And between the 14 minutes and 18 minutes is = 14.8 km - 6 km

                                                                              = 8.8 km

This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.

Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km

                                                           = 9.1 km

And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km

                                                                       = 3.2 km

This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.

Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.  

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

Answer:

There's going to be 3 thirds in one whole sandwich. Hope this helps

Step-by-step explanation:

Answer: x is 13

Step-by-step explanation:

90 - 67 is 23. Then you figure out what times 2 minus 3 is 23. Which would be 13. 13 times 2 is 26 minus 3 is 23. 67 + 23 is 90 ( right triangle)

Answer:

x=13

Step-by-step explanation:

The two angles are complementary, meaning that they both add up to 90°.

So, since we know that one of the angles is 67°, we can find the other one by subtracting 67 from 90.

90-67=23

So the equation is equal to 23.

2x-3=23

Add 3 to both sides.

2x=26

Divide both sides by 2.

x = 13

Answer:

-5+2i

Step-by-step explanation:

Answer:

The correct answer is:

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

⇒ Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2

Answer:

5,6

Step-by-step explanation:

Answer:

5 and 6

Step-by-step explanation:

5² = 25

6² = 36

Step-by-step explanation:

VAT = 250*15%

VAT = 250*15/100

VAT = 37.5 therefore

total price add VAT =250+37.5

=287.5

Answer:

1/5

Step-by-step explanation:

there are 5 sections regardless of how many time she rolls it ti does not change the probability of landing on b so it's 1/5

Answer:

eyjdnfbhs

Step-by-step explanation:

Answer:

The geometric mean of 18 and 27 is 22.045407685

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

Answer:

22.045407685

Step-by-step explanation:

Answer:

5/16,-3

Step-by-step explanation:

I didn't actually solve this by myself, I used this website to solve this.

Answer:

18 Liters of water

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

Answer:

C) 50

Step-by-step explanation:

50

Answer:

C: 50

Step-by-step explanation:

The inner diamond has congruent sides

Half of the line segment on the left is 25.

The other half of the left line segment is also 25

Together, the left line segment is 50 units

The inner diamond has both 90 degree angles and 18 unit long sides

Thus, we know that both sides are congruent

Finally, the right side is the same length as the left side

The right side is 50 units long

Answer:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

Answer: V=707

Step-by-step explanation:

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Answer:

67

Step-by-step explanation:

(90÷18)-(18÷6)-(6÷3)= 72-3-2= 67

Answer:

(-3 ;13/2)Step-by-step explanation:

hello :

the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )

(-3 ;13/2)

Answer:

Step-by-step explanation:

59:2,2=26,81

15*26,81:250=1,6086

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

Answer:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

mark me brainlest

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

Answer:

a)  0 , 1

b) 0.56 , 0.06

Step-by-step explanation:

X = 0.2

Y = 0.3

Find the distribution of X + Y

a) All the possible values of  X + Y

The possible values of X + Y  are ; 0,1

b) The probabilities that X + Y takes each of the values

P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56

P( X +Y = 1) = 0.2*0.3 = 0.06

Answer: it could be d

By I’m smart

Step-by-step explanation: