In the following diagram,what do the red arrows on the line mean?

Answer:

65x + 115 = 180

65x = 65

_______

65

x = 1

9514 1404 393

Answer:

  b ≈ 0.240450937397

Step-by-step explanation:

To find the y-intercept of the tangent line, you need to know ...

  a) the value of y at x=3

  b) the slope of the curve at x=3

__

The slope is found by differentiating the function.

  y = ln(x·e^(cos(x)²)) = ln(x) +cos(x)²

Then the derivative is ...

  y' = 1/x +2(-sin(x)·cos(x)) = 1/x -sin(2x)

The y-intercept is ...

  b = y - x·y'

  b = ln(3) +cos(3)² -3(1/3 -sin(6))

The y-intercept is ...

  b = ln(3) +3·sin(6) +cos(3)² -1 ≈ 0.240450937397

Step-by-step explanation:

Given: [∀x(L(x) → A(x))] →

[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for

arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof

technique.

Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

We need to show that the above expression is unsatisfiable (False).

¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))

∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))

E.I with respect to x,

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))

E.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b

U.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Since P ∧ Q is P, drop L(a) from the above expression.

(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Apply distribution

(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))

Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to

(L(b) ∧ H(a, b) ∧ ¬A(b))

U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace

¬A(b) in the above expression with ¬L(b). Thus, we get,

(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.

This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows

from the premise.

15

Answer:

Length of arc AB = 4π

Step-by-step explanation:

Formula to get the arc length is given by,

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = central angle subtended by the arc AB

r = Radius of the circle

By substituting the values in the formula,

Therefore, length of arc AB = [tex]\frac{120}{360}(2\pi )(6)[/tex]

                                              = 40π

tỷ lệ nam và nữ trong ngôi làng là; 16:24=2:3 Vậy tỷ lệ nam nữ là 2:3

Answer: C) Next year, 7 out of every 60 students will be taking music.

Step-by-step explanation:

A is wrong because it is an opinion which a table cannot prove.

B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.

C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.

D is incorrect for the same reason B is incorrect except this time it says 120.

Answer:

x value is 3

please hear is your answer

Answer:

6 + g = 13

Step-by-step explanation:

hope this helps have a great day!

Answer:

124.8 mi³

Step-by-step explanation:

volume is base area times height.

the base area is a triangle

baseline × triangle height / 2

At = 13×3.2/2

the prism height is 6

so, total volume is

13×3.2×6/2 = 124.8 mi³

Answer: 124.8 mi^3

Step-by-step explanation:

0.5*13*3.2=20.8

20.8*6=124.8

Answer:

Pi is an irrational number, same is pi/4.

Step-by-step explanation:

Answer:

0.29

Step-by-step explanation:

Given :

n : ___ 0 _____ 1 ____ 2 ____ 3 ____ 4

P(n) : 0.82___ 0.11 ___0.04 _0.02 ___0.01

The expected number of defect in a shipment can be obtained using the expected value formula :

Expected value, E(X) = Σx*p(x)

Σx*p(x) = (0*0.82) + (1*0.11) + (2*0.04) + (3*0.02) + (4*0.01)

E(X) = 0.29

Hence, the expected number of defect in shipment is 0.29

Answer:

3/14

Step-by-step explanation:

Probability = # of favorable outcomes / # of possible outcomes

Favorable outcomes = we want to find the probability of pulling a blue marble. There are 3 blue marbles so 3 is the number of favorable outcomes

Possible outcomes: to find the number of possible outcomes we simply find the total number of marbles

3 + 7 + 4 which equals 14

So possible outcomes = 14

We now plug in the values into the probability formula

The probability of pulling a blue marble is 3/14

Answer:

3/14

Step-by-step explanation:

you add the red marbles, blue marbles, and green marbles together, which equal 14. Out of the 14, there are only 3 blue marbles so it would be 3/14.  

Answer:

the answer is b because -(-6) becomes 6 and 6 is greater than 3

Answer: B.

Step-by-step explanation: A. 45 is not less than or equal to 18. I got 45 because 2 negatives make a positive and I got 18 because it was in absolute value bars making it positive. B. 6 is greater than -3. I got 6 because it is in an absolute value bar. C. 32 is not less 28. I used the same steps I used on the others. D. 9 is not greater than or equal to 10.

Answer:

1. 1

2. 1/3

Explanation:

1.  6(4 - 5) ÷ 2(-3)

= 6(4−5) ÷ (2)(-3)

= 6(-1) ÷ (2)(-3)

= -6 ÷ (2)(-3)

= -6 ÷ -6

final answer = 1

2.  1/4 ÷ 3/4

1/4 ÷ 3/4 ---> 1/4 ÷ 4/3 (reciprocal method)

(change the operation to multiplication)

1/4 × 4/3 (multiply)

1/4 × 4/3 = 4/12 (we aren't done yet.. we still need to simplify/reduce 4/12)

4/12 ----> 2/6 ----> 1/3. (final answer)

Answer:

161.8cm²

Step-by-step explanation:

solve for height which is the opposite

opp=x

sin(theata)= opp./hyp.

sin23=x/30

x=30×sin23

x=11.72cm

height=opposite

height=11.72cm

base=adjacent

base=27.6cm

½of 27.6cm=13.8

13.8cm×11.72cm=161.74 (2d.p)

161.74 rounded to the nearest tenths= 161.7

I'm not sure if it's the answer but it's the closest thing to the options

Answer:

yes i can see the photot

Step-by-step explanation:

The distance from point A to point B is about 1211 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the light house. At point A:

tan(10) = h / 796

h = 140.36 feet

At point B, let d represent the horizontal distance from B to light house:

tan(4) = 140.36/d

d = 2007 feet

The distance from A to B = 2007 - 796 = 1211 feet

The distance from point A to point B is about 1211 feet.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

L. A=2 pi r h

L. A = 2 * pi * 8 * 12 = 192 pi

Answer:

A =420 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the length of the base and h is the height

A = 1/2 ( 24) * 35

A =420 cm^2

Answer:

The area of triangle is 420 cm ².

Step-by-step explanation:

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 24 cm × 35 cm

multiply,

Area of triangle = 1/2 × 840 cm ²

Divide, we get

Area of triangle = 420 cm ²

Therefore, The area of triangle is 420cm².

Answer:

the equation of the regression line will be 1

Answer:

3.5

Step-by-step explanation:

make an equation out of the ratios -- 10/35 = 1/x

cross multiply -- 10x=35

divide both sides by 10

x=3.5

Answer:

The population mean is of 6.1667.

Step-by-step explanation:

Total sample size:

26 + 54 + 86 + 26 = 192

Mean:

To the mean is the sum of the midpoint of the class frequencies multiplied by its frequency(mean of 2 to 4 is 3, 4 to 6 is 5 and so on...). So

[tex]M = 3\frac{26}{192} + 5\frac{54}{192} + 7\frac{86}{192} + 9\frac{26}{192} = \frac{3*26 + 5*54 + 7*86 + 9*26}{192} = 6.1667[/tex]

The population mean is of 6.1667.

Answer:

[tex] \frac{ {2}^{4} }{ {2}^{ - 4} } \\ = {2}^{4} . {2}^{4} \\ = {2}^{8} \\ = 256[/tex]

Answer:

2⁸

Step-by-step explanation:

2⁴ ÷ 2⁻⁴ = 2⁸

if the bases are the same and you're dividing then you subtract the exponents

Answer: S = bt/r

Step-by-step explanation: variables that are touching are always multiplied, use division to isolate s/t and you are left with b/r = s/t get rid of t by multiplying s/t x t

flip the equation and you’re left with your answer

Answer:

The triangle will triple in size.

Answer:

38

Step-by-step explanation:

3x + 2y when X=10 and y=4

3(10) + 2(4)

30 + 8

38

Step-by-step explanation:

de hecho, la respuesta está en la imagen de arriba

Answer:

Step-by-step explanation:

angle b+45 degree=110 degree (because they are vertically opposite angle and vertically opposite angle are always equal)

angle b=110-45

angle b=65 degree

angle a + angle b + 45 degree = 180 degree (being linear pair)

angle a + 65 + 45 =180

angle a + 110=180

angle a=180-110

angle a=70 degree

angle c + 20 degree=angle a (because they are vertically opposite angle and vertically opposite angle are always equal)

angle c + 20 = 70

angle c = 70 - 20

angle c =50 degree

Note: A linear pair is a pair of adjacent angles formed when two lines intersect.

Hope this helps u !!

Answer:

9-(-2) or 9+2

Step-by-step explanation:

To find the difference of something, subtract one value from the other. It become addition because two negatives make a positive