Which of these angles can replace x in tan (x)?

A. □

B. None of these angles are correct.

C. φ

D. θ

The x-intercepts are x = 2/3 and x = 3.

The y-intercept is (0, 6).

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

we have,

To find the x-intercepts, we set y to zero and solve for x:

0 = −3x^2 − 5x + 6

We can factor this quadratic equation:

0 = (−3x + 2)(x − 3)

x - 3 = 0

x = 3

And,

-3x + 2 = 0

-3x = -2

x = 2/3

So the x-intercepts are x = 2/3 and x = 3.

To find the y-intercept, we set x to zero and evaluate y:

y = −3(0)² − 5(0) + 6

y = 6

So the y-intercept is (0, 6).

Thus,

The x-intercepts are x = 2/3 and x = 3.

The y-intercept is (0, 6).

Learn more about parabola here:

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Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

Answer:

(x, y) -------- ( -x,-y)

Rule : Rotation center (0,0) , angle of rotation 180° or -180°

Step-by-step explanation:

The vertices of the object and image have coordinates at ;

D(-4,2), --------D'( 4,-2 ),

E (-1,3), --------E'( 1,-3 ),

F (-1,-3),--------F'(1,3),

G (-3,-4),------G'( 3,4 ),

You notice that after the rotation ;

( x, y )-------change to (-x,-y),

This rule is rotation center origin angle 180°

i would go with either a or b

Answer:

-9

Step-by-step explanation:

the constant is a single number

explanation:

There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.

Answer:

I don't understand make is more simplify

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]

attached below is the remaining solution

Answer:

$13564.8

Step-by-step explanation:

Step one:

given data

principal= $12560

rate= 2%= 0.02

time= 4years

Required:

the simple interest

Step two:

the expression for the simple interest is

A= P(1+rt)

substitute

A=12560(1+0.02*4)

A=12560(1+0.08)

A=12560(1.08)

A=13564.8

$13564.8

it's C (11,555.20)

now have a nice day guys

Answer:

The 95% confidence interval is   [tex]0.6428 < \sigma < 1.0954[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 29

    The sample standard deviation is [tex]s = 0.81[/tex]

  Generally the 95% confidence interval to estimate the true standard deviation  is mathematically represented as  

                      [tex]\sqrt{\frac{(n- 1)s^2 }{ X^2_( \frac{\alpha }{2 } , n-1)} } < \sigma < \sqrt{\frac{(n- 1)s^2 }{ X^2_(1- \frac{\alpha }{2 } , n-1)} }[/tex]

Generally from the  chi -distribution table  the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df = 29 - 1 = 28[/tex]  is  

            [tex]X^2 _{\frac{\alpha }{2} , 28 } =44.46079184[/tex]

Generally from the  chi -distribution table  the critical value of [tex]1 - \frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df = 29 - 1 = 28[/tex]  is  

             [tex]X^2 _{(1 - \frac{\alpha }{2}) , 28 } = 15.30786055[/tex]

So

                 [tex]\sqrt{\frac{(29- 1)0.81^2 }{ 44.46079184 } } < \sigma < \sqrt{\frac{(29- 1)0.81^2 }{15.315.307860551 }[/tex]

=>              [tex]0.6428 < \sigma < 1.0954[/tex]

Answer: Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Step-by-step explanation:

Let tye number of messages that Manal sent be x.

Since Eissa sent 10 fewer messages than Manal, this will be:

= x - 10

Abdulrahman sent 3 times as many messages as Eissa. This will be:

= 3(x - 10) = 3x - 30

We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:

x + (x - 10) + (3x - 30) = 95

x + x - 10 + 3x - 30 = 95

x + x + 3x - 10 - 30 = 95

5x - 40 = 95

5x = 95 + 40

5x = 135

x = 135/5

x = 27

Manal = x = 27

Elisa = x - 10 = 27 - 10 = 17

Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51

Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Answer:

-951

Step-by-step explanation:

an=a1+(n−1)d

\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951

The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

29, 9, -11

The above sequence represents an arithmetic sequence:

The common difference d = 9 - 29

d = -20

The first term a = 29

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

The nth term of the AP:

a(n) = a + (n-1)d

a(n) = 29 + (n - 1)[-20]

a(n) = 29 -20n +20

a(n) = 29 -20n +20

a(n) = 49 - 20n

Plug n = 51

a(51) = 49 - 20(51)

a(51) = -971

Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

Learn more about the sequence here:

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Answer:

x = 8,25%

Step-by-step explanation:

46,87 - 43 = 3,87

$46,87 -----  100%

$3,87   ------  x

46,87x = 100 . 3,87

         x = 387 / 46,87

         x = 8,25%

Answer:

im pretty sure its the first

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:

1/2=2x-6/16

Then:

4x-12=16

4x=28

x=7 ........................

Adding and subtracting with negative numbers

First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:

If both numbers are positive, then the answer is positive.

If both numbers are negative, then the answer is negative.

If the numbers have different signs, the answer takes the sign of the higher number.

Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.

Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.

Answer:

y-intercept = (0, 8)

axis of symmetry= -b/2a

Step-by-step explanation:

Also when you want something to be squared use this symbol ^

Answer:

The student is incorrect because I I or absolute value would make the -9 to positive 9.  

Step-by-step explanation:

-9<4

on a numberline

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4

but the absolute value of -9 (or) |–9|

is actually positive 9

9>4

on a number line

4 5 6 7 8 9

Answer:

23 + 17 = 40 :)

Answer:

rectangle

Step-by-step explanation:

Kind of a confusing question, but I'm guessing that its asking what the shape of the cross section is. And its a rectangle.

Answer:

unlikely

Step-by-step explanation:

60/122

60 ÷122=0.49

0.49 × 100 =49

49% chance

answer is unlikely

Answer:

A. 36

Step-by-step explanation:

[tex]9^{3*12} =9^{36}[/tex]

You multiply the the exponent

Answer:

true

Step-by-step explanation:

because it is

Answer:

True

Step-by-step explanation:

Odpowiedź:

48 cm

Wyjaśnienie krok po kroku:

Jeśli się uwzględni:

Wysokość trapezu = 6 cm

Długość podstaw:

Podstawa 1 = a = 9 cm

Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm

Uaing relacji:

Powierzchnia trapezu = 1/2 (a + b) * h

Powierzchnia trapezu = 0,5 (9 + 7) * 6

Powierzchnia trapezu = 0,5 (16) * 6

Powierzchnia trapezu = 8 * 6

Powierzchnia trapezu = 48 cm

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]

We can write this as:

[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]

Then we have the inequality

[tex]1 > (x - 2)/3[/tex]

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

Answer:

724.0915

Step-by-step explanation:

multiply 899.99 and 8.5 you get 724.0915

hope this helps