Question 6 of 20 :
Select the best answer for the question.
6. The sum of 1/6, 2/3, and 1/4 is
O A. 2172, or 1/36
B. 11/12
O C. 4/12 or 13.
OD. 13/12 or 11/12​

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:

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:

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:

The matches are:

Feature: Increasing or decreasing interval (specifically, a decreasing interval)

Statement: As the input power's current grows beyond 1 ampere...

Feature: Relative minimum or maximum (specifically, relative maximum)

Statement: At its most efficient, the motor uses...

Feature: x-intercept

Statement: The motor loses all efficiency when the current...

Step-by-step explanation:

The first statement describes a decreasing interval, specifically the decreasing efficiency beyond 1 ampere of input current

The second statement describes a relative maximum, specifically the maximum efficiency at an input current of 1 ampere

The third statement describes an x-intercept, specifically the efficiency hitting 0% when the input current is ≥ 3 amperes

Answer:

(a) x -intercept with the last statement (the one at the bottom)

(b) Relative maximum with the second (middle) statement.

(c) Increasing or decreasing with the first (top) statement.

See details below:

Step-by-step explanation:

(a)  The x-intercept goes with the info on what happens when the graph crosses the horizontal axis, so it goes with the third statement given:

The motor loses all efficiency when the current hits 3 amps.

(b)  Relative max: agrees with what happens at the maximum the curve shows reaching approximately 50% value in the vertical scale:

At its most efficiency the motor uses about 50% of the  input power

(c)  Increasing or decreasing interval: The function clearly increases from values of the horizontal variable starting at around 0.4, up to a value of 1, and from then onwards it decreases. So it agrees with:

As the input grows more than 1 ampere, the motor becomes less efficient.

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:

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

Answer:

[tex]\mathbf{ - \dfrac{3 \pi^2}{2}}[/tex]

Step-by-step explanation:

Given that:

F(x, y, z) = 5xi - 5yj - 3zk

The objective is to evaluate the [tex]\int _c F \ dr .C[/tex]

and C is given by the vector function  r(t) = (sin t, cost, t) where  0 ≤ t ≤ π

[tex]F(r(t)) = 5 \ sint \ i - 5 \ cost \ j - 3t \ k[/tex]

∴

[tex]\int_c F . \ dr = \int ^{\pi}_{0} ( 5 \ sint \ i - 5 cos t \ j - 3 t \ k ) ( cos \ t , - sin \ t , 1 ) \ dt[/tex]

[tex]=\int ^{\pi}_{0} ( 5 \ sint \ cost+ 5 cos t \ sin t - 3 t) dt[/tex]

[tex]=\int ^{\pi}_{0} ( 10 \ sint \ cost) \ dt -3 \int ^{\pi}_{0} \ dt[/tex]

[tex]= \int ^{\pi}_{0} ( 10 \ sint \ cost) \ dt - 3 [\dfrac {t^2}{2}]^{\pi}_{0} \ \ dt[/tex]

[tex]= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0} - \dfrac{3}{2}(\pi)^2[/tex]

By dividing 2 with 10 and integrating [tex]= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0}[/tex]; we have:

[tex]=5(sin^2t -sin^2 0) -\dfrac{3 \pi^2}{2}[/tex]

[tex]=5(0) -\dfrac{3 \pi^2}{2}[/tex]

[tex]= 0 - \dfrac{3 \pi^2}{2}[/tex]

[tex]\mathbf{= - \dfrac{3 \pi^2}{2}}[/tex]

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.

Step-by-step explanation:

a variable is a quantity that may change within the context of a mathematical problem or experiment

I hope this was helpful

Answer:

3.8

Step-by-step explanation:

.8 is in the tenths

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:

-9

Step-by-step explanation:

-3|16-20|+9/3

-3|-4|+3

-3*4+3

-12+3

-9

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:

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:

No

Step-by-step explanation:

Factors of 289 are = 1, 7, 289

answer

no

explanation

the factor of 289= 1 , 17

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:

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:

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:

A = 5 / P

Step-by-step explanation:

5 / A = P

A = 5 / P

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Total no. of outcomes = 1,2,3,4,5,6

No. of times 5 is on the cube =1

Therefore, probability of getting a 5 = [tex]\frac{1}{6}[/tex]

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)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:

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: {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:

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.

The answer is any value that you put in for x would make the equation true. When you simplify the whole equation it looks like this: 2x - 6 = 2x - 6, therefor you could replace x with any value.

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:

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].