when researchers say that there is a relationship between two variables, this means

The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function \(g(x)=4log_{2} (x-2)+5\)

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”

Jennifer Davis will earn $910.00 in simple interest on her investment.

The principal amount is $2,600.

The interest rate is 7% per year.

The time period is 5 years.

To calculate the simple interest, we can use the following formula:

simple interest = principal * interest rate * time

Plugging in the values for the principal, interest rate, and time period, we get:

simple interest = 2600 * 0.07 * 5 = 910

Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.

In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.

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4 oz is equivalent to 118.29 mL (milliliters).

The conversion factor for ounces to milliliters is that 1 oz is equal to 29.5735 mL. To convert ounces to milliliters, you can multiply the number of ounces by 29.5735. In this case, 4 x 29.5735 = 118.29 mL.It is important to note that milliliters and ounces are both units of measurement for volume.

Ounces are widely used in the United States and the United Kingdom, while milliliters are used in most of the countries worldwide. The milliliter is the base unit of volume in the International System of Units (SI) and it is defined as the volume of a cube that is 1cm x 1cm x 1cm. The ounce is a unit of volume in the imperial system and the avoirdupois system.

The avoirdupois system is a weight system that is based on a pound that is divided into 16 ounces and it is used in most of the countries worldwide.When working with volume measurements, it's important to be aware of the units of measurement being used, as well as the conversion factors between different units, in order to ensure accurate conversions and measurements.  

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Answer:

Without knowing the specific diagram, it is difficult to give a step-by-step proof. However, if lines k and m intersect at point P, we can use the following reasoning:

- The angles formed by intersecting lines are either congruent or supplementary.

- Angles 1 and 3 are opposite each other, meaning they are vertical angles. By definition, vertical angles are congruent.

- Angles 2 and 3 are alternate interior angles, meaning they are on opposite sides of the transversal line and between the two intersected lines. When two lines are cut by a transversal and alternate interior angles are congruent.

- Therefore, angles 1 and 3 are congruent because they are vertical angles, and angles 2 and 4 are congruent because they are alternate interior angles.

Alternatively, we could use the following proof:

- Draw a line n that passes through point P and is parallel to line k.

- Since line n is parallel to line k, angle 1 and angle 2 are corresponding angles and are therefore congruent.

- Draw a line l that passes through point P and is parallel to line m.

- Since line l is parallel to line m, angle 3 and angle 4 are corresponding angles and are therefore congruent.

- Therefore, angle 1 is congruent to angle 2, and angle 3 is congruent to angle 4.

Answer:

B. 1/4 ÷ 8= 1/32

D. 1/8÷4= 1/32

E. 1/4÷4=1/16

Step-by-step explanation:

Answer:

should be B D E___________

Answer:

where are the pictures???

Step-by-step explanation:

Answer:

Where are the answers?

Step-by-step explanation:

Answer:

the lines are perpendicular

Step-by-step explanation:

you can simplify 2x+8y=16 so thats how i got the lines are perpendicular

Step-by-step explanation:

30-10= 20

20 more students prefer cashews than walnuts.

Answer:

20

Step-by-step explanation:

30-10 = 20

Answer:

x = 33

Step-by-step explanation:

sin 29° = 16/x

x = 33

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

co-efficient = 1/3

Step-by-step explanation:

x/3 is also the same as x(1/3)

Answer:

1/3

Step-by-step explanation:

someone deleted my answer :(

But here is an explanation . i guess x/3 is a fraction so any number with a variable is called a coefficient .

Answer:

a.Equation :y=40-2.5x

b.straight, decreases, the same

Step-by-step explanation:

(a) (-1301)10 in 2's complement representation is obtained by taking the 2's complement of the binary representation of (1301)10. (b) To represent (-1301)10 in sign-magnitude format with 16 bits, we allocate the 16th bit as the sign bit.

(a) Starting with the binary representation of (1301)10, which is 010100100001, we negate each bit to get 101011011110 and add 1 to the least significant bit to obtain the 2's complement representation: 101011011111.

(b) To represent (-1301)10 in sign-magnitude format with 16 bits, we allocate the 16th bit as the sign bit. We take the 2's complement representation obtained in part (a) and sign-extend it to 16 bits by copying the sign bit (1 in this case) to all the additional bits: 1111111110110111. This represents (-1301)10 in sign-magnitude format with 16 bits.

For the addition operations:

(a) (-30) + (+12) in 16-bit binary format:

-30 is represented as 1111111111110010

+12 is represented as 0000000000001100

The sum is 1111111111111110. There is no overflow.

(b) (-20) + (+64) in 16-bit binary format:

-20 is represented as 1111111111110100

+64 is represented as 0000000001000000

The sum is 0000000000010100. There is no overflow.

In both cases, the addition is performed with 16-bit numbers, and the results are within the range of 16 bits without any overflow.

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Answer:

2/9 - 1/6 = 1/18

Step-by-step explanation:

2/9= 4/18 and 1/6=3/18

so...

4/18-3/18=1/18

Hope This Helps!

Answer:

1/18

Step-by-step explanation:

find the LCD

= 18

say

18

= 18 ÷ 9

= 2

= 18 ÷6

= 3

now say

2 × 2 = 4

3 × 1 = 3

4-3/18

= 1/18

Answer:

I would go with D

carried from place to place

I think that it is most likely D.

The matrix sum A + 3B is undefined because A and 3B have different sizes. The matrix sum 4C - 2E is undefined because the number of rows in C is not equal to the number of columns in E. The matrix products DB and EB are undefined because the number of rows in D is not equal to the number of columns in B, and the number of columns in E is not equal to the number of rows in B, respectively.



The matrix operations to be computed are A + 3B, 4C - 2E, DB, and EB.

The expression A + 3B is undefined because A and 3B have different sizes. In matrix addition, the matrices being added must have the same dimensions, meaning they must have the same number of rows and columns. Since A and 3B have different sizes, their sum cannot be computed.

The expression 4C - 2E is undefined because the number of rows in C is not equal to the number of columns in E. In matrix subtraction, the matrices being subtracted must have the same dimensions. Since C and E have different dimensions, their subtraction cannot be performed.

The expression DB is undefined because the number of rows in D is not equal to the number of columns in B. In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Since the number of columns in D is not equal to the number of rows in B, their product cannot be computed.

Similarly, the expression EB is also undefined because the number of columns in E is not equal to the number of rows in B.

In summary, the matrix sum A + 3B is undefined because A and 3B have different sizes. The matrix sum 4C - 2E is undefined because the number of rows in C is not equal to the number of columns in E. The matrix products DB and EB are undefined because the number of rows in D is not equal to the number of columns in B, and the number of columns in E is not equal to the number of rows in B, respectively.


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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

The domain and the range pf the curve was solved and the correct answer to the question is the last option which is

The domain are the input values and are represented in the x axis while the range are the output values and represented in the y axis

From the graph

We can conclude that the last option is the correct answer

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Answer:

E) \(x = 4\:\:y=2\sqrt3\)

Step-by-step explanation:

\(cos \: 60 \degree = \frac{2}{x} \\ \\ \frac{1}{2} = \frac{2}{x} \\ \\ \bold{ \purple{ \boxed{ \bold{x = 4}}}} \\ \\ tan \: 60 \degree = \frac{y}{2} \\ \\ \sqrt{3} = \frac{y}{2} \\ \\ \bold{ \red{ \boxed{ \bold{y = 2 \sqrt{3} }}}} \\ \\ \)

The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

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Anais, who bought a ribbon of length \(2 \dfrac 12 \) yards, and she trimming a curtain from it. From substraction, length of ribbon used in curtain is equals to 72 inches.

Word problems express in mathematical form. In subtraction, keywords that could signal the operation are lesser, less than, removed from. However, there are times when the idea of subtraction or taking away is inferred from the problem itself. In the problem, total length of ribbon Anais bought

= \(2 \dfrac 12 \) yards

The length of ribbon left after trimming some curtains = 1 feet 6 inches

We have to determine inches of ribbon Anais use to trim the curtains. Let it will be equal to x inches . We may notice in the provide values that they all have different units. We can convert the all different units into inches. Using uint conversation, 1 yard = 36 inches

=> \(2 \dfrac 12 \)

yards =\( 36 × \frac{ 5}{2} \)

= 90 inches

Similarly, 1 feet = 12 inches, then 1 feet + 6 inches = 12 + 6 = 18 inches

Thus, the left ribbon length = 18 inches

Using substraction method, the length in inches of ribbon that anais use to trim the curtains = total length - left length of ribbon = 90 - 18

= 72 inches.

Hence, required value is 72 inches.

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Complete question:

Anais bought

\(2 \dfrac 12 \)

yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?

Using the concepts of arithmetic and geometric progression, Maria's total land will exceed Lucia's amount of land in the 7th year.

An arithmetic progression is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.

whereas, a geometric progression is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Lucia is increasing her land by arithmetic progression. She bought a 11 hectare land and increases it by 5 hectares every year.

Land in:

year 1 = 11

year 2 = 11+5 = 16

year 3 = 16+5 =21

year 4 =  21+5 = 26

year 5 = 26+5 = 31

year 6 = 31 + 5 =36

year 7 = 36+5 = 41

year 8 = 41+5 = 46

Maria is increasing her land by geometric progression. She bought 6 hectares land in first year. Multiplied the amount by 1.4 each year.

Land in:

year 1 = 6

year 2 = 6*1.4= 8.4

year 3 = 8.4*1.4 = 11.76

year 4 =  11.76*1.4 =16.46

year 5 = 16.46 *1.4 = 23

year 6 = 23 * 1.4 = 32.2

year 7 = 32.2 * 1.4 = 45.08

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The complete question is given below:

Lucia and Maria are business women who decided to invest money by buying farm land in Brazil. They started their investments at the same time, and each year they buy more land. Lucia bought 11 hectares of land in the first year, and each year afterwards she buys 5 additional hectares. Maria bought 6 hectares of land in the first year, and each year afterwards her total number of hectares increases by a factor of 1.4. In which year will Maria's amount of land first exceed Lucia's amount of land?

Answer:

The reduced fraction of the ratio of panels to money saved is 1 panel/ $30 saved on electric bill.

This is because the given parameter from the Solar Company, on the cost savings from the use of solar panels is the amount Mrs. Jolley saves on her electricity bill for every 2 solar panels = $60 \

I dont have the graph sry

Answer:

I don't know sorry I took up space but to brainly on you tube channel

Step-by-step explanation:

Answer:

82(-x-5)=26

-82x-410=26

-410-26=82x

-436/82=x

x=-218/41

Answer:

476 Pi cm^2

Step-by-step explanation:

The surface area of a cone is given by the formula:

● Sa = Pi× r^2 + Pi×r×l

r is the radius and l is the slant heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

We are given that:

● r = 14 cm

● l = 20 cm

Let's calculate Sa

● Sa = Pi×14^2 + Pi × 14 × 20

● Sa = 476 Pi cm^2

Answer:

127.38

Step-by-step explanation:

Answer:

127.38

Step-by-step explanation:

15 x 3 = 45

(102.38 + 45) - 20 = 127.38