The exact value of Tan 30 x sin 60

Answer:

  {0, undefined}

Step-by-step explanation:

There are 10 unique letters in the expression, so each one must stand for a different digit. Assuming the digits are multiplied as indicated, the digit 0 must appear in either the numerator or the denominator.

If 0 appears in the numerator, the value of the fraction is 0.

If 0 appears in the denominator, the value of the fraction is "undefined."

The only possible values of this fraction are {0, undefined}.

Answer:

The satisfied table of the given function[tex]y = log_{b} (x)[/tex]

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

Step-by-step explanation:

Explanation :-

Given logarithmic function [tex]y = log_{b} (x)[/tex]   if b >1

Given first table

i)

put x = [tex]\frac{1}{8}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{8} )[/tex]

[tex]y = log_{2} (2^{-3} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3[/tex]

y = -3

ii)

put x = [tex]\frac{1}{4}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{4} )[/tex]

[tex]y = log_{2} (2^{-2} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2[/tex]

y = -2

iii)

put x = [tex]\frac{1}{2}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{2} )[/tex]

[tex]y = log_{2} (2^{-1} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1[/tex]

y = -1

iv)

put x = 1     given b > 1 so we can choose b = 2

[tex]y = log_{2} (1 )[/tex] = 0

y = 0

v)

put x = [tex]2[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (2 )[/tex]

y = 1

Final answer:-

The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

The first option is correct because that table of values represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Given:

The lograrithmic function form is [tex]y=\log_b x,b>1[/tex].

To find:

The table of values that represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Explanation:

It is given that [tex]b>1[/tex]. Let [tex]b=2[/tex], then

[tex]y=\log_2 x[/tex]          ...(i)

Substitute [tex]x=\dfrac{1}{8}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{8}[/tex]

[tex]y=\log_2 \dfrac{1}{2^3}[/tex]

[tex]y=\log_2 2^{-3}[/tex]

[tex]y=-3[/tex]

Substitute [tex]x=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{4}[/tex]

[tex]y=\log_2 \dfrac{1}{2^2}[/tex]

[tex]y=\log_2 2^{-2}[/tex]

[tex]y=-2[/tex]

Substitute [tex]x=\dfrac{1}{2}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{2}[/tex]

[tex]y=\log_2 2^{-1}[/tex]

[tex]y=-1[/tex]

Substitute [tex]x=1[/tex] in (i), we get

[tex]y=\log_2 1[/tex]

[tex]y=0[/tex]

Substitute [tex]x=2[/tex] in (i), we get

[tex]y=\log_2 2[/tex]

[tex]y=1[/tex]

The table of values is:

[tex]x[/tex]     [tex]y[/tex]

[tex]\dfrac{1}{8}[/tex]     [tex]-3[/tex]

[tex]\dfrac{1}{4}[/tex]     [tex]-2[/tex]

[tex]\dfrac{1}{2}[/tex]     [tex]-1[/tex]

[tex]1[/tex]     [tex]0[/tex]

[tex]2[/tex]     [tex]1[/tex]

Therefore, the first option is correct.

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Answer:

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

√7x is the square root of 7x

while x√7x is equivalent to x multiplied ythe square root of 7

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

a = quadrant 1

b = quadrant 1

c = quadrant 3

d = quadrant 2

e = quadrant 4

f = quadrant 3

g = quadrant 2

h = quadrant 4

Answer:

12

Step-by-step explanation:

[tex]0.48\div 0.04[/tex]

If you multiply both terms by 100, the result will be the same, because 100/100=1. You can therefore rewrite this as 48/4, which is equal to 12. Hope this helps!

Answer:

12

Step-by-step explanation:

0.48x100=48

0.04x100=4

48/4=12

Answer:

7 inches

Step-by-step explanation:

formula for a trepezoid is 1/2(a+b)*h

1/2(5+x)X3=18 (now make x the subject)

(5+x)X3=36

5+x=12

x=7

so the other base is 7in

Answer:

The number of men to number of women be 7 : 8 .

Step-by-step explanation:

Answer:

7:8

Step-by-step explanation:

Answer:

64.89£

Step-by-step explanation:

Given:

Theater ticket costs £63

Booking fee: 3% of original price

Solve for:

Total price of ticket

Solution:

Step 1: Select relevant procedure

The total price including the booking fee, then before working out the total price, the booking fee should be calculated.

Step 2: Perform the calculation

The booking fee of ticket is calculated by:

BF = 3% of £63 or (3/100) x 63 = 1.89

Adding up the ticket price and booking fee to get total price:

Total price = ticket price + booking fee = 63 + 1.89 = 64.89£

Hope this helps!

:)

Answer:

The answer is option 1 and 3.

Step-by-step explanation:

Firstly, you have to find the simplest form of the ratio by dividing the common numbers :

[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]

Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :

Option 1,

[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]

Option 2,

[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]

Option 3,

[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]

Option 4,

[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]

Option 5,

[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]

Answer:

y = 45

Step-by-step explanation:

70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal

70 = y+25

Subtract 25 from each side

70-25 = y

45 = y

[tex]answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps[/tex]

Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values in the formula .

[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

Answer:

13 feet

Step-by-step explanation:

We use the distance formula:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Answer:

[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]

Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

Answer:

[tex]x\le 6[/tex]

Step-by-step explanation:

We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)

Subtract 6 on both sides of the equation as :

[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]

Dividing both sides of the equation by 8 such that,

[tex]x\le 6[/tex]

So, the value of x is less than equal to 6. Hence, this is the required solution.

Answer:

340 songs, 17000/50 = 340 lol

Answer:

340

Step-by-step explanation:

17000÷50=340.

hope this helps

Answer:

D

Step-by-step explanation:

Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too

Answer:

3(2x-1     )(x-5   )  

Step-by-step explanation:

6x^2-33x+15

Factor out the greatest common factor

3(2x^2 -11x +5)

Factor inside the parentheses

3(2x     )(x   )  

We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative

3(2x-1     )(x-5   )  

2 * -5 + -1 = -10-1 = -11

Question:

Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?

Answer:

3 + 2i

Step-by-step explanation:

Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)

[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)

The complex number representation of [tex]\sqrt{-1} = i[/tex]  and [tex]\sqrt{4} = 2[/tex]

Make these substitutions into equation ( 2)

[tex]y = 3 +2i\\[/tex] is in the form a + bi

Where a = 3 and b = 2

Step-by-step explanation:

2a+b is just greater than 2b with a

Answer:

[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]

Step-by-step explanation:

Square root both sides:

[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)

[tex]4x=\sqrt{11}-1[/tex]

or

[tex]4x=-\sqrt{11} -1[/tex]

[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]

Answer:

PLEASE APPRECIATE IT

Step-by-step explanation:

Square root both sides:

4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)

Answer:

Step-by-step explanation:

x^2 + xy + y^2 has 3 terms they are:

x^2,   xy, and y^2

hope it helps

plz mark as brainliest!!!!!!!!!!

The polynomial x²+xy+y² has 3 terms. Option C is correct.

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given polynomial;

⇒x²+xy+y²

The three terms are as follows;

x²

xy

y²

The polynomial x²+xy+y² has 3 terms.

Hence, option C is correct.

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Answer:

22n

Step-by-step explanation:

Answer:

False

sin (y) / cos (y) = cos (y)

cos (y) could be any value from -1 to 1.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

x^0+ y^0

Let x = 3 and y = 2

3^0 + 2^0

Raised to the 0 power is 1

1 + 1

2

Answer:

the answer is 1, this is correct

Step-by-step explanation:

The solution to the expression 6x - 2x + 8y - 6y is 4x + 2y

From the question, we have the following parameters that can be used in our computation:

6x - 2x + 8y - 6y

Collect the like terms in the expression

So, we have the following representation

6x - 2x + 8y - 6y = 6x - 2x + 8y - 6y

Evaluate the like terms in the expression

So, we have the following representation

6x - 2x + 8y - 6y = 4x + 2y

Hence, the simplified expression is 4x + 2y

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Answer:

A,E

Step-by-step explanation:

A    The minimum number of pages read was 24.  The smallest number is the dot on the left side which is at 24

E    The mean is the middle line in the box, this is at 48

Answer:

Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2

36+4=c^2

distance √40 half of it is √10

So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one

Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).

Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.

First 2 answers are

(4-√10, -√10)

( -5-√20, 2-√20)

Answer:

I belive that the correct answer is 32. hope this helps mark me as brianliest????

Step-by-step explanation:

Answer:

missing constant is 36

Step-by-step explanation:

x²-12x+36

because 12x= 2*√x²*√36

so 36 is missing constant

and there is easier way (12/2)² = 36

[tex]answer \\ 26 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

40 feet

Step-by-step explanation:

Since x=4

3x-4=3(4)-4=12-4=8 feet

x^2-1=4^2-1=16-1=15 feet

2x^2-15=2(4)^2-15=2(16)-15=32-15=17 feet

Perimeter=8+15+17=40 feet