Find the measure of angle BCA.

Answer:

z < -2

g is indeterminate

Step-by-step explanation:

For the inequality Z - ( -7 ) < 5

open the parenthesis

z+7 < 5

Subtract 7 from both sides

z+7-7 < 5-7

z < -2

For 8(3g - 2) <= 12(2g + 1)

Expand

24g -16 ≤ 24g + 12

24g - 24g ≤  12+18

0g≤  28

g ≤  28/0

Hence g is indeterminate

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

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:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

mark me brainlest

Answer:

5,6

Step-by-step explanation:

Answer:

5 and 6

Step-by-step explanation:

5² = 25

6² = 36

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:

9/10 divided by 3/4 is 6/5  

3/4 divided by 9 is 1/12

6/9 divided by 6/7 is 7/6

5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9

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]

Answer:

29.03703703

Step-by-step explanation:

7-4 √3 = 5.196152423

(5.196152423 + 0.19245009)^2​

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:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

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:

54

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Answer:

Step-by-step explanation:

Answer:

Area = pi * r^2

r is half of the diameter

Area = pi * 14^2

Area = 196 pi

196 * 3.14

Area is approximately 615.44 cm^2

Answer:

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

Step-by-step explanation:

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:

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

Answer:

26 pi

Step-by-step explanation:

Answer:

531

Step-by-step explanation:

first the formula for finding the circumference of a circle is πr2

where π = 22/7

r = 13x13

hence, circumference = πr2

= 22/7 x 13 x 13

= 22/7 × 169

= 22 x 169/7

= 3718/7

= 531 cm

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)

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Answer: Graph 3

Explanation: Only one that satisfies both patterns

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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

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:

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:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

Answer: V=707

Step-by-step explanation:

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.