A. (1 x 3 x 4) + (2 X 5 X 3)
B. (1 x 3) + (4 X 2) + (5 x 3)
C. (1X3 X 2) + (6 x 3 x 2)
D. 3 x (1 + 4) + 2 x (5 + 3)
E. (3 x 4) + 1 x (2 x 5) + 3

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:

= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )

I'm pretty much sure that this is correct.

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

Answer:

Option D (States.......distribution) is the appropriate choice.

Step-by-step explanation:

The superposition principle says that perhaps the sample distribution better reflects the regular distribution.

The latter choices should not affect the situation involved. The reaction, then, is the right one.

Answer:

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

3) D.f= n1+n2-2= 32+28-2= 58

Step-by-step explanation:

The null hypothesis is that there is no  difference in population means (masterâs degree minus bachelorâs degree)

The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

Putting the values

Sp= 12,250,000( 31)  + 16,000,000(27)/ 31+27

Sp=  379,750,000- 432,000,000/58

Sp= -52,250,000/58

Sp= -900,862.1

Now Putting the values in the t- test

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)

t= -3000/ -233,120.21

t= 0.012868

3) D.f= n1+n2-2= 32+28-2= 58

for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017

4) Since the calculated value of t=  0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.

Answer:

1 1/12 ft

Step-by-step explanation:

12 inch per foot

13in - 12in = 1 in

1 in left over

1 1/12

Answer:

1ft. 1in.

6/1 is the answer

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

Answer:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

mark me brainlest

Answer:

40 is your answer:)

Step-by-step explanation:

4x3= 12

12/2=6

6x4=24

4x4=16

24+16= 40

Answer:

54

dcutvihvihvtuutcigciyvihvihvo

Answer:

Step-by-step explanation:

Answer:

29.03703703

Step-by-step explanation:

7-4 √3 = 5.196152423

(5.196152423 + 0.19245009)^2​

Answer:

20

Step-by-step explanation:

15^2 + b^2 = 25^2

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:

Step-by-step explanation:

[tex]\frac{1}{2}b^{2} - 6[/tex]

[tex]\frac{1}{2}(4)^{2} - 6[/tex]

[tex]\frac{1}{2} * 16 - 6[/tex]

[tex]8 - 6[/tex]

[tex]2[/tex]

Answer:

2

Step-by-step explanation:

Plug in the value:

1/2 b² – 6

1/2 (4)² – 6

Use order of operations (PEMDAS):

There are no parentheses:

Do exponent:

1/2 (16) – 6

Then multiplication and division in the order that they come in:

8 – 6

Then addition and subtraction in the order that they come in:

2

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:

-0.85, 0.09, 3/20, 0.3, 2/5, 3/4

Step-by-step explanation:

Turn all the fractions into decimals

2/5 -> .4

3/4 -> .75

3/20 -> .15

Then order them

-.85, 0.09, 0.15, 0.3, 0.4, 0.75

Answer: 18,720

Step-by-step explanation:

Let's take this equation

78,000(n)

n will equal 0.24, since we are trying to find 24% of 78,000

78,000(0.24)

18,720

Answer:

18720

Step-by-step explanation:

24/100 × 78,000

=18720

Answer:

B

Step-by-step explanation:

There is a 1/4 probability of getting an A out of a bag with letter MATH

For B) There are two A's our of 8 letters is ADMIRALS.

2/8 is the same as 1/4

The answer is B

A) is wrong because that 1/6

C) is wrong because that's 1/8

D) is wrong because that's 2/9

Answer:

B

Step-by-step explanation:

Probability of finding A in a word =  number of A / number of letters in that word

Probability of finding A in MATH = 1/4

A. Probability of finding A in BECAME = 1/6

B. Probability of finding A in ADMIRALS = 2/8 = 1/4

C. Probability of finding A in USERNAME  = 1/8

D. Probability of finding A in AFTERMATH = 2/9

So we have a match with option B

Answer:

Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

Step-by-step explanation:

1)Formulate the hypothesis that first variance is equal or greater than the second variance

H0: σ₁²≥σ₂²  against the claim  that the first instructor's variance is smaller

 Ha: σ₁²< σ₂²

2) Test Statistic F= s₂²/s₁²

F= 84.8/ 58.9=  1.4397

3)Degrees of Freedom = n1-1= 10-1= 9  and n2 = 10-1= 9

4)Critical value   at 10 % significance level= F(9,9)= 2.4403

5)Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

Answer:

Sin A = 3/5

Cos A = 4/5

Step-by-step explanation:

To find trigonometric ratio, recall SOHCAHTOA.

Thus:

Reference angle = <A

Opposite side to <A = 6

Adjacent side = 8

Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)

Therefore,

✔️Sin A = Opp/Hyp

Sin A = 6/10 = 3/5

✔️Cos A = Adj/Hyp

Cos A = 8/10 = 4/5

Answer:

Range= (0,∞) and (-∞,0)

Step-by-step explanation:

Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0

Answer:

(-infinity, -32/81] U (0, positive infintiy).

( use the sideways 8 symbol for infinity).

Step-by-step explanation:

The range is all possible y values in a function.

We can find the inverse of the function to find the range.

[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]

Replace x with y

[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]

Write the LCD as two binomial,

[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]

Multiply both sides by both binomial

[tex]x(y + 1)(y - 8) = 8[/tex]

[tex](xy + x)(y - 8) = 8[/tex]

[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]

[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]

[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]

[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]

[tex] {x}^{2} - 7x = 0[/tex]

[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]

[tex](x - 3.5) {}^{2} = 12.25[/tex]

[tex](x - 3.5) = 3.5[/tex]

[tex]x = 3.5[/tex]

Plug that in to the function to find it range.

We get approximately

[tex] - \frac{35}{81} [/tex]

So this means a point on our function must include -35/81.

The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is

(-infinity, -32/81]U (0, positive infintiy).

( use the sideways 8 symbol for infinity).

Answer:

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

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Graph 3

Explanation: Only one that satisfies both patterns

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Step-by-step explanation:

Yes sure.

a. New value of painting=60/100×$550=$330

b. New value of vase=70/100×$395=$276.5

c. New value of clock=180/100×$1175=$2115

d. New value of chair=95/100×$745=$707.75