help me plz will mark braninly if right

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

the data classification (categorical or quantitative) and type of data (Nominal or Ordinal or Continuous or Discrete)

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

A. Height of sunflowers in a field.

1.Quantitative

2.Continuous

B. Jersey color of all the NCAA football teams.

1.Categorical

2.Nominal

Data classification is a process of organizing data into categories based on their characteristics, attributes, or features. There are two main types of data classification:

Categorical Data: Data that can be divided into categories or classes. For example, color, gender, and type of cuisine are all examples of categorical data. Categorical data can be further classified into two types:

a. Nominal Data: Data that does not have an inherent order or ranking. For example, hair color, eye color, and favorite movie are all examples of nominal data.

b. Ordinal Data: Data that has a natural order or ranking. For example, education level (high school, college, postgraduate), star rating (1 star, 2 stars, 3 stars), and satisfaction level (very unsatisfied, unsatisfied, neutral, satisfied, very satisfied) are all examples of ordinal data.

Quantitative Data: Data that can be measured and expressed as a number. For example, height, weight, and time are all examples of quantitative data. Quantitative data can be further classified into two types:

a. Continuous Data: Data that can take on any value within a specified range. For example, height, weight, and temperature are all examples of continuous data.

b. Discrete Data: Data that can only take on specific values. For example, number of children in a family, number of pets, and number of rooms in a house are all examples of discrete data

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x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer:

\(x=-1\)

Step-by-step explanation:

\(x-2\left(x-4\right)=5\left(2x+4\right)-3\)

\(-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8\)

\(3x-2x+8=5\left(2x+4\right)-3\)

\(\mathrm{Combine\: like\: terms}\)

\(x+8=5\left(2x+4\right)-3\)

\(\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17\)

\(x+8=10x+17\)

\(\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\)

\(x+8-8=10x+17-8\)

\(x=10x+9\)

\(\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\)

\(x-10x=10x+9-10x\)

\(-9x=9\)

\(\mathrm{Divide\:both\:sides\:by\:}-9\)

\(\frac{-9x}{-9}=\frac{9}{-9}\)

\(\bold{x=-1}\)

The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)

To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:

1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).

2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).

3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:

\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).

4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).

This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)

This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.

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Answer:

C

Step-by-step explanation:

Answer: 40.87

Step-by-step explanation:

Answer: 40.87

Step-by-step explanation:

First you would do 12.8x3 because it’s in parentheses you would then get 18.75 + 38.4 - 16.28. You would then do 18.75 + 38.4 and get 57.15 then subtract 16.28 from that and get your final answer 40.87

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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The per cent of fruit juice in the mixture is 28%. The correct option is B.

To determine the percent of fruit juice in the mixture, we need to calculate the total amount of fruit juice in the 6 L of Brand A juice and the 9 L of Brand B juice, and then divide it by the total volume of the mixture.

The amount of fruit juice in 6 L of Brand A juice is:

0.52 x 6 L = 3.12 L

The amount of fruit juice in 9 L of Brand B juice is:

0.12 x 9 L = 1.08 L

The total amount of fruit juice in the mixture is:

3.12 L + 1.08 L = 4.20 L

The total volume of the mixture is:

6 L + 9 L = 15 L

So, the per cent of fruit juice in the mixture is:

(4.20 L / 15 L) x 100% = 28%

Therefore, the correct answer is (B) 28%.

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Answer:

x=4

Step-by-step explanation:

-3(4x+3)

you need to break open the paranthesis

-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.

4(6x+1)

you need to break open the paranthesis

4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.

-12x-9+24x+4=43

move all variables to the left side and numbers to the right side

-12x+24x=43-4+9

12x=48

x=4

Answer:

Step-by-step explanation: he is paying 21944 if you caculate that

The surface area of the composite figure is 252 in²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A composite figure is a figure with the combination of two or more figures.

The figure above consist of two cuboid.

Surface area of a cuboid is expressed as;

SA = 2( lb+lh+bh)

surface area of the first cuboid;

SA = 2( 4×9 + 4× 2+ 2× 9)

SA = 2( 36+ 8+ 18)

SA = 2 × 62

SA = 124 in²

Surface area of the second cuboid

SA = 2( 7× 4 + 4× 4 + 7× 4) - 4×4

SA = 2( 28 + 16+28) -16

SA = 2( 72) -16

SA = 144-16

SA = 128 in²

Therefore the surface area of the composite figure is

= 128+ 124

= 252 in²

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Answer: Sina Au,Jho at Tess ay anak ng mag asawang sing ng

Roy at Aling Lita, Si Ay ay 7 taon na mas matanda kay the

at 2 taon mas bata kay Tess, Kung ang kabuyang edad ay

70. llan taon si Au?​

Step-by-step explanation:

EXPLANATION

Given the function:

We can see that it has an Absolute minimum in (3,-3) and No absolute maximum.

The graph with a positive leading coefficient will have an upward opening shape. Based on the image reference, the graph with a positive leading coefficient is: Option B, Graph B.

In mathematics, a graph is a visual representation of data that shows how one quantity is related to another. Graphs are used to display numerical information in a clear and concise manner, making it easy to identify trends, patterns, and relationships between different data sets. There are several types of graphs used to display data, including line graphs, bar graphs, pie charts, scatter plots, and many others.

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The Triangle Proportionality Theorem, also known as the Side Splitter Theorem, states that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

Triangle Proportionality Theorem:

To prove this theorem, we begin by drawing a ΔABC with a line DE parallel to side AB. We then draw lines BD and CE, which intersect the parallel line DE at points F and G, respectively. By the properties of parallel lines, we know that ∠ADE and ∠ABD are congruent, and ∠AED and ∠ADB are congruent. Similarly, ∠CDE and ∠BDC are congruent, and ∠CED and ∠DCB are congruent.

We can then use the properties of similar triangles to show that ΔADE and ΔABC are similar, as are  ΔCDE and ΔACB. This means that the ratios of corresponding side lengths are equal:

BA/DE = CA/CE and CB/DE = AB/BD

We can then substitute CA - BA for CB in the first equation, and BD for AB in the second equation:

BA/DE = (CA - BA)/CE and CB/DE = BD/(CA - BA)

Cross-multiplying both equations, we obtain:

BA * CE = DE * (CA - BA) and CB * DE = BD * (CA - BA)

Adding the two equations, we get:

BA * CE + CB * DE = (DE + CE) * CA

Dividing both sides by CB * DE, we obtain:

BA/CB = (DE + CE)/CE * CA/DE = DE/CD

Thus, we have proven the Triangle Proportionality Theorem.

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From the definition, we have

\(\displaystyle f'(10) = \lim_{x\to0} \frac{f(x) - f(10)}{x - 10}\)

With \(f(x)=\sqrt{x-1}\), we get \(f(10)=\sqrt{10-1}=\sqrt9=3\). So the limit we want to compute is

\(\displaystyle f'(10) = \lim_{x\to0} \frac{\sqrt{x-1} - 3}{x - 10}\)

Rationalize the numerator by multiplying by its conjugate:

\(\displaystyle \frac{\sqrt{x-1} - 3}{x - 10} \times \frac{\sqrt{x-1}+3}{\sqrt{x-1}+3} = \frac{\left(\sqrt{x-1}\right)^2-3^2}{(x-10)\left(\sqrt{x-1}+3\right)} = \frac{x-10}{(x-10)\left(\sqrt{x-1}+3\right)}\)

x is approaching 10, which is to say x ≠ 10, so we can cancel the factors of x - 10 and remove the discontinuity.

Then we're left with

\(\displaystyle f'(10) = \lim_{x\to0} \frac1{\sqrt{x-1}+3} = \frac1{\sqrt{10-1}+3} = \frac1{\sqrt9+3} = \frac1{3+3} = \boxed{\frac16}\)

evaluated by direct substitution, which we can do since the limand is continuous.

First five terms of the arithmetic sequence with the first term a​₁=3 and the common​ difference, d =7 in series are: 3 ,10 ,17 ,24 ,30,....

A series of numbers is called an "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. A another name for it is an arithmetic sequence. Every term following the first is derived by adding a constant number, known as the common difference, in an arithmetic progression (d). The nth term of an arithmetic progression must thus be found. The term "arithmetic progression," or A.P. is a mathematical sequence where the gap between the two next terms is a constant. The fundamental difference is referred to as the constant.

Here the first term a = 3 and common difference d = 7.

Now a(n) =a + (n−1)d

a₁ = a = 3

a₂ = a+d = 3 + 7 = 10

a₃ =a + 2d = 3 + 2 × 7 = 17

a₄ =a + 3d = 3 + 3 ×7 = 24

a₅ =a + 4d = 3 + 4 × 7 = 30

First five terms in series are: 3 ,10 ,17 ,24 ,30,....

Thus, the sum of first five terms = 3 + 10 + 17 + 24 + 30 = 84

Hence, First five terms in series are: 3 ,10 ,17 ,24 ,30,....

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Answer:

There are no solutions to the system because the equations represent parallel lines.

Step-by-step explanation:

Answer:

What does 0 = −12 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines.

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

Slope = -1 .     Parallel lines have the same slope.  The slope is a coefficient of the x-term.

Step-by-step explanation:

y - x = 5

y = x + 5    slope = 1

The slope of the line parallel to the given line is 1.

Slope is a value that describes the steepness and direction of a line. In variable format, it is commonly represented by the letter m.

The slope of a line is also called its gradient or rate of change. The slope formula is the vertical change in y divided by the horizontal change in x, sometimes called rise over run.

Given that the equation of a line y - x = 5, we need to find the slope of the parallel to the same,

Converting the equation in slope-intercept form,

y - x = 5

y = x + 5

Comparing with standard form of the equation of the line y = mx + c, where m is the slope,

Hence, the slope of the given line is 1,

We know that the slopes of the parallel lines are equal.

So, the slope of the asked line is 1.

Hence, the slope of the line parallel to the given line is 1.

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Answer: $24

Step-by-step explanation: if you divide $120 by 5 then you get $24

Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

Answer: The expression in simplified form is D. 3x³√15

To simplify the expression, we can first simplify the fractions.

2/1356 can be simplified to 12/225.

Then, we can use the distributive property to simplify the expression further.

12/225 - 3√156 = 12/225 - 18√15

The last step is to combine the terms,

12/225 - 18√15 = (-6/75) - (6√15) = -6/5 * (1/5 - √15) = -6 * (- √15/5) = 3 * √15 * 6

Therefore, the simplified form of the expression is D. 3x³√15

Step-by-step explanation:

The solution of the triangle have been shown below.

To solve a triangle means to find the values of all its angles and sides. The method for solving a triangle depends on the given information.

Given that;

a/Sin A = b/SinB

Sin B = bSin A/a

B = Sin-1(bSin A/a)

B = Sin-1 (23Sin 40/17)

B = 60.4 degrees

Then we have that

C = 180 - (40 + 60.4)

= 79.4 degrees

Then;

a/sinA = c/Sin C

c= aSin C/Sin A

c = 17 * Sin 79.4/Sin 40

c =   16.71/0.643

c = 25.9

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Answer:

y = 2x + 2

Step-by-step explanation:

Answer: y=2x+2

Step-by-step explanation: