Find Tan a and 10 B. Right each answer as a fraction and as I get decimal rounded to the nearest 10th.

[tex]\text{Given that,}\\\\f(x)= \dfrac{x+1}{x-1}\\\\\\f'(x)=\lim\limits_{h \to 0} \dfrac{f(x+h) - f(x) }{h}\\\\\\ ~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\left( \tfrac{x+h+1}{x+h-1}\right) - \tfrac{x+1}{x-1}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{(x+h+1)(x-1) - (x+1)(x+h-1)}{(x+h-1)(x-1)}}{h} \\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{x^2-x+hx-h+x-1 - x^2-xh+x-x-h+1}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~[/tex]

       [tex]~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{-2h}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{-2}{(x+h-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x+0-1)(x-1)}\\[/tex]

       [tex]\\\\~~~~~~~~=\dfrac{-2}{(x-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x-1)^2}[/tex]

Answer:

-5f

Step-by-step explanation:

Answer:

f(- 5) = 57

Step-by-step explanation:

substitute x = - 5 into f(x) , that is

f(- 5) = 3(- 5)² + 3(- 5) - 3

        = 3(25) - 15 - 3

       = 75 - 18

       = 57

Answer:

Your answer would be 12cm

Step-by-step explanation:

I just take a quiz and got it right.

Answer:

I dont know i think its 5

Step-by-step explanation:

Answer:

4 :)

Step-by-step explanation:

The area of each triangle is (1/3) of the area of the whole shape.

Area is the amount of space occupied by a two dimensional shape or object.

Ved drew the shape below by combining exactly 3 triangles of the same size and shape.

Hence:

Combined area = sum of each area = 3 * area of each triangle

The area of each triangle is (1/3) of the area of the whole shape.

Find out more on area at: https://brainly.com/question/25292087

Answer:

19

Step-by-step explanation:

18 + 1 = 19

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

Step-by-step explanation:

oh, come one ! you can literally see that one ...

a full rotation on a clock is a full circle and stands therefore for 360°.

for the minute hand these 360° represent 60 minutes.

4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.

4/60 = 1/15

360 × 1/15 = 24°

so, 4 minutes represent 24°.

Answer:

Wow no reasonable explanaition for why you don't know this answer but here it is.

360*

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

[tex] \frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6} [/tex]

Answer:

7/6

Step-by-step explanation:

X = 2 because 2x3=6 and the three is from x/3 then 4+3=7 and then 7 would be the denominator and 6 would be the numerator. You should get 7/6

Answer:

57mm

Step-by-step explanation:

Length of missing side= perimeter- known lengths

= 152mm- (30+20+45)mm

= (152 - 95)mm

= 57mm

Answer:

seventy-six and two hundred eighty thousandths.

Step-by-step explanation:

Answer:

$1.76

Step-by-step explanation:

$1.10+$1.10 = $2.2

$3.96 - $2.2 = $1.76

Answer:

3/8 as a decimal is 0.375.

Answer:

(B). Some activities may be inappropriate for particularly young or old participants.

Step-by-step explanation:

its the most formal answer hopfully this helps you.

Answer:

B) 75 cm

Step-by-step explanation:

A = bh

(b =base & h = height)

therefore

area = 5 × 15

= 75 cm

I think this will helpful to you

give me a brainliest

Step-by-step explanation:

[tex] \sin(θ) = \frac{2}{5} [/tex]

We know that

[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]

Using that we get

[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]

[tex] = 1 - \frac{4}{25} [/tex]

[tex] \frac{21}{25} [/tex]

hence

[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]

Step-by-step explanation:

please mark me as brainlest

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The sample size and the estimate are given by:

[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]

Hence:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

that the best i can do !!!!

Answer:

Step-by-step explanation:

Answer:

280,280

Step-by-step explanation:

i believe you just multiply 45.5 times 5280

Step-by-step explanation:

[tex]1mile = 5280feet[/tex]

[tex]45.5miles = x[/tex]

[tex] \frac{45.5}{1} \times 5280[/tex]

[tex]x = 240240feet[/tex]

Answer:

the only answer that makes sense would be the length

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

Answer:

A = 44.42°

Step-by-step explanation:

SohCohToa

Soh = sin(theta)= opp/hyp

Coh = cos(theta)= adj/hyp

Toa = tan(theta)= opp/adj

Coh = cos(theta)= adj/hyp

cos(A)= adj/hyp

cos(A)= 5/7

A = cos^-1(5/7)

A ≈ 44.4153086

A = 44.42°

Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex]

Since 10 and 24 are the legs, "x" has to be the hypoteneuse.  "a" and "b" are the legs (10 and 24).

Now, replace the values in.

[tex]10^2+24^2 = x^2[/tex]

[tex]x^2 = 100+576\\x^2 = 676\\x = 26[/tex]

Hope this helped! :)

Answer:

Step-by-step explanation:

Rate of change

Rate of change

Since 6 > 5, the function B has greater rate of change in the given interval

Answer:

Function B

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

  [tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  2 ≤ x ≤ 4

Therefore: a = 2 and b = 4

Function A

From inspection of the given table:

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]

Function B

Given function: [tex]y=2^x+1[/tex]

[tex]\implies f(2)=2^2+1=5[/tex]

[tex]\implies f(4)=2^4+1=17[/tex]

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]

As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4

Answer:

4 were broken

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] × 12 = [tex]\frac{12}{3}[/tex] = 4 ← number of broken eggs