Trigonometry-Logarithm Question..Please help..

Answer:

x = 14

Step-by-step explanation:

To solve this problem, we must remember that the addition of two angles that create a straight line should have a sum of 180 degrees.

From this information, we can create the following equation.

(7x - 1) + (6x - 1) = 180

Eliminating the parentheses and grouping like terms gives us:

(7x + 6x) + (-1 + -1) = 180

Simplifying inside the parentheses on the left side produces:

13x - 2 = 180

Next, we should add 2 to both sides to isolate the variable term:

13x = 182

Finally, we should divide by 13 to get the x by itself on the left side of the equation:

13x/13 = 182/13

x = 14

Therefore, the answer to your question is x = 14.

Hope this helps!

Answer:

x = 14

Hope it helps u

plz mark it as brainlist

Answer:

1. Yes, there is sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women.

2. The 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].

Step-by-step explanation:

We are given that in a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested

Among the men, 85 have red/green color blindness. Among the women, 6 have red/green color blindness.

Let [tex]p_1[/tex] = population proportion of men having red/green color blindness.

[tex]p_2[/tex]   = population proportion of women having red/green color blindness.

So, Null Hypothesis, :      {means that men have a lesser or equal rate of red/green color blindness than women}

Alternate Hypothesis, :      {means that men have a higher rate of red/green color blindness than women}

(1) The test statistics that will be used here is Two-sample z-test statistics for proportions;

                             T.S.  =     ~  

N(0,1)

where, = sample proportion of men having red/green color blindness = = 0.085

[tex]\hat p_2[/tex] = sample proportion of women having red/green color blindness = [tex]\frac{6}{2800}[/tex] = 0.002

[tex]n_1[/tex] = sample of men = 1000

[tex]n_2[/tex] = sample of women = 2800

So, the test statistics =  [tex]\frac{(0.085-0.002)-(0)}{\sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1-0.002)}{2800} } }[/tex]  

                                     =  9.37    

The value of z-test statistics is 9.37.

Also, the P-value of the test statistics is given by;

               P-value = P(Z > 9.37) = Less than 0.0001

Since the P-value of our test statistics is less than the level of significance as 0.0001 < 0.05%, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we support the claim that men have a higher rate of red/green color blindness than women.

(2) The 95% confidence interval for the difference between the color blindness rates of men and women ([tex]p_1-p_2[/tex]) is given by;

95% C.I. for ([tex]p_1-p_2[/tex]) = [tex](\hat p_1-\hat p_2) \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }[/tex]

                                 = [tex](0.085-0.002) \pm (1.96 \times \sqrt{\frac{0.085(1-0.085)}{1000}+\frac{0.002(1- 0.002)}{2800} } )[/tex]

                                 = [tex]0.083 \pm0.0174[/tex]

                                 = [0.0656, 0.1004]

Here, the crtical value of z at 2.5% level of significance is 1.96.

Hence, the 95% confidence interval for the difference between the color blindness rates of men and women is [0.0656, 0.1004].

Answer:

A = 5 / P

Step-by-step explanation:

5 / A = P

A = 5 / P

Answer:

d.

Step-by-step explanation:

the other ones are adding and the 3 is obviously being subtracted.

Answer:

false... the person said i wasnt sure so i had to put a solid answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

False.  Sample size has direct bearing on the size of the confidence interval being calculated.

Answer:

3.8

Step-by-step explanation:

.8 is in the tenths

Answer:

find a what?because it dont tell us what to find

Answer:

First, you should read that statement many time and just try to learn the concepts of that chapter and look at your examples you will find something same as your questions. Then if you cannot solve that question ask your elder to understand. After understanding that question do that question 4 to 5 times then you will understand that question easily..

Hope you like it please thank me or mark it as a brainliest answer.....

Answer:

If you really can't solve it and you have no idea what the question is talking about, ask someone for help. For example, your teacher or your friends.

You can literally post your question on Brainly for us to answer if we can. That is the purpose of Brainly. Even if it is a really complex and hard question, you should still take the chance of posting it since there are like millions of people using Brainly and this will make it much more easier to find someone to help you.

Answer:

x = 12

Step-by-step explanation:

__9x__      =     __108___

   9                          9

x = 12

Hi there! Hopefully this helps!

------------------------------------------------------------------------------------------

[tex]9x = 108[/tex]

Divide both sides by 9.

[tex]\frac{108}{9}[/tex]

Answer:

The number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Step-by-step explanation:

To predict the number of hours it takes to culture a certain number of bacteria form a regression equation of number of hours (y) based on the number of bacteria (x) using the provided data.

The general form of the regression equation is:

[tex]y=a+bx[/tex]

Compute the values of a and b as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sumX\sum XY}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{15\cdot 32109075-12565\cdot39860}{5\cdot 32109075-(12565)^{2}}=-7.203\\\\b=\frac{n\cdot \sum XY-\sumX\sum Y}{n\cdot\sum X^{2}-(\sum X)^{2}}=\frac{5\cdot 39860-12565\cdot15}{5\cdot 32109075-(12565)^{2}}=0.004[/tex]

*Use the Excel data sheet attached.  

The regression equation of number of hours based on the number of bacteria is:

[tex]y=-7.203+0.004x[/tex]

Compute the number of hours it takes the culture to reach 12,000 bacteria as follows:

 [tex]y=-7.203+0.004x[/tex]

   [tex]=-7.203+(0.004\times12000)\\=-7.203+48\\=40.797\\\approx 41[/tex]

Thus, the number of hours it takes the culture to reach 12,000 bacteria is 41 hours.

Answer:

We know that

1 ) log a^n = n log a

Now ,

log 6 = 0.7782 ----( 1 )

log 36 = log 6²

= 2 log 6

= 2 × 0.7782

= 1.5564

Answer:

  A

Step-by-step explanation:

In a list of ordered pairs, a relation that is a function will not have any repeated x-values.

A -- a function (x-values are {-1, 0, 2, 5} with no repeats)

B -- irrelevant

C -- not a function (x-values are {0, 0, -3, 3} with 0 being repeated)

D -- not a function (x-values are {-2, -1, -2, 2} with -2 being repeated)

Answer:

a: -2f(x+4)

Step-by-step explanation:

Took the quiz, got 100%.

The function f(x) = ∛x is transformed to obtain g(x) = -2f(x + 4). Option A is correct.

The function f(x) = ∛x is shifted horizontally to the left by 4 units.

This means that every point on the graph of f(x) is moved 4 units to the left.

After the horizontal shift, the function is reflected vertically and stretched vertically by a factor of 2.

The reflection indicates that the graph is flipped upside down, and the stretching means that the graph is elongated vertically by a factor of 2.

By applying these transformations to the function f(x) = ∛x, we obtain the function g(x) = -2f(x + 4).

The negative sign indicates the vertical reflection, and the factor of 2 represents the vertical stretching.

The horizontal shift of 4 units is applied to the argument of the function, which is (x + 4)

To learn more on Graph transformations click:

https://brainly.com/question/19040905

#SPJ2

Answer:  Alice has the prize

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c||l}\underline{Alice}&\underline{Bob}&\underline{Carol}&\underline{Prize}\\T&T&F&\text{Alice}\\T&F&F&\text{no possible answer}\\T&F&T&\text{no possible answer}\\F&T&T&\text{no possible answer}\\F&F&T&\text{no possible answer}\\F&T&F&\text{no possible answer}\end{array}}[/tex]

Line 1:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

          Alice is true for all of them!

Line 2:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

Line 3:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 4:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 5:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (T) ... Carol

            nobody satisfies all three statements.

Line 6:

Alice: Bob doesn’t have the prize (F) ... Bob

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

            nobody satisfies all three statements.

Answer:

[tex]\Huge \boxed{<}[/tex]

Step-by-step explanation:

-2 ? |-3|

Solve for absolute value.

Apply rule : |-a| = a

|-3| = 3

-2 ? 3

-2 is less than 3.

The less than symbol is “<”.

-2 < 3

Answer:

AC = 12x + 20

Step-by-step explanation:

Combine the terms:

AB + BC = AC

AB = 8x + 2

BC = 4x + 18

Plug in the corresponding terms to the corresponding variables:

(8x + 2) + (4x + 18) = AC

AC = 8x + 4x  + 18 + 2

AC = 12x + 20

12x + 20 is your answer for AC.

~

Answer:

68

Step-by-step explanation:

8x+2=4x+18

8x-4x=18-2

4x=16

x=4

Now we substitute it back in:

8(4)+2+4(4)+18-

32+2+16+18=

68

Answer:

-9

Step-by-step explanation:

-3|16-20|+9/3

-3|-4|+3

-3*4+3

-12+3

-9

Answer:

Two integers are relatively primes if and only if their only common positive integer factor is 1.

Step-by-step explanation:

The prime number is one whose only divisor is 1 and itself.

The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.

So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.

So, two integers are relatively primes if and only if their only common positive integer factor is 1.

Answer:

A diagonal. (A rectangle is divided into two triangles by a diagonal, for example.)

The diagonal of a triangle divides a two dimentional shape into two congruent shapes.

The congruent shapes are equally the same

Answer:

Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.

Step-by-step explanation:

Parametric tests are used for interval and ratio data and Non parametric tests are used for ordinal and nominal data.

The interval data shows data with differences or intervals.

The ratio data is the one in which statistical inferences is used and can be added ,subtracted , multiplied, or divided.

Ordinal data is one in which we measure quantitative data such as height , weight  but is in order.

Nominal data  is one in which we measure quantitative data such as hair color eye color  without order or which does not require order or sequence.

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

Answer:

it would be -4

Step-by-step explanation:

because a positive and negative 5 cancel each other out.

and a negative 2 plus a positive 2 is a negative 4.

Answer:

All natural numbers are also whole numbers.

Step-by-step explanation:

Natural numbers are called counting numbers. They are numbers you can count. Although, Zero is not among them. Neither are negative numbers. Succinctly put, Natural numbers are numbers you can count with the exception of negative numbers and Zero.

Whole numbers are an extension of natural numbers. Unlike Natural numbers although, whole numbers contain Zero. Yet, like natural numbers, that do not contain negative numbers. As a result, we can call them counting numbers that includes Zero.

Now from the above definitions, we can see that

1, whole numbers and natural numbers have many numbers in common. So then, 1 is wrong.

2, all natural numbers are whole numbers, not some. So then, 2 is wrong

3, all whole numbers are not natural numbers, because Zero is a whole number, yet, it's not a natural number.

4, all natural numbers are whole numbers, and this is our answer.

Answer: Amounts

Step-by-step explanation:

Time series analysis are the method which are used by researchers to analyze the time series data so as to get the features of the data and to also derive meaningful statistics.

A linear trend equation is used to represent time series values when the data are changing by equal amounts.

Answer:

Option A is true

The researchers proved that exercise causes weight loss only for high school students.

Step-by-step explanation:

We are told that the researchers found a high correlation, 0.93, between amount of exercise and weight lost.

Now, looking at each of the options;

- A is True because due to the high correlation, the research proves that exercise causes weight loss but only for high school students.

- B is not true because we are told the correlation is very high at 0.93. Thus, it is untrue that there is no proven causation.

-C is not true because there's no where that the researchers have completely proved that exercise causes weight loss generally. It is only peculiar to the high school students studied.

-D is not true because the 93% is just a correlation and not a percentage of those who lost weight

Answer:

There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation

Step-by-step explanation:

Recall that correlation measures the strength and direction of linear association.  So r= 0.93 indicates a strong positive linear association.  Recall also, that correlation doesn't imply causation.  Causation is a direct change in one variable causing a change in some outcome.

Answer: {xI x ∈ R, 19 < x < 32}

Step-by-step explanation:

This notation is:

{xI condition1, condition2, ...}

The first condition is:

From what set we take the values of x?

From the set of real numbers.

x ∈ R

The other conditions are the limitations that we have for x, in this case:

19 < x < 32

Then we can write this as:

{xI x ∈ R, 19 < x < 32}

Answer:

The waffle cone is $3.62.

First, say what your variables are.

w = large waffle cone

s = sugar cone

Next, create two equations given the data in the word problem.

[tex]2.06 + s = w[/tex]

[tex]s = 1.56[/tex]

Because you have what the sugar cone is valued at, replace the s in the first equation with 1.56 and solve.

[tex]2.06 + (1.56) = w[/tex]

[tex]w = 3.62[/tex]

Answer:

when we put an exponent on a number which already has an exponent, the exponents are multiplied

we have: [tex]3^{6^{18} }[/tex]

= [tex]3^{108}[/tex]

(3)^6×18

(3)^108

now if you want to further simplify it then just simply calculate 3^108 on the calculator

to make it clear (3^6)^18 and 3^6^8 are two different situations

in the first one the power will be multiplied by the second power

and in the second one 6 will be multiplied by itself 8 times