It's too short. Write at least 20 characters to get a great answer.

Answer:

Step-by-step explanation:

x² = 8² + 1²

x² = 64 + 1

x² = 65

x = √65

or

x = 8.06

The expression 1 over 2x + 6 in factored form is written as 1/2(x+3)

Algebraic expressions are described as mathematical operations that consist of variables, coefficients, terms, constants and factors.

They are also made up arithmetic operators, which includes;

From the information given, we have to determine the factored form of the expression;

1 over 2x + 6

This is represented as;

1/2x + 6

Let's factorize the denominator

1/2(x + 3)

Hence, the expression is 1/2(x+3)

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The line of best fit for the data that is present is Line C. Option C

We have to note that the graph is one of the means by which we can be able to present information. We know that the information that we present in the graph model would have to axes. It would have the x axis and it would have the y axis.

Now, we know that the plot of the graph is going to result in data points on the graph and the data points on the graph are the points that we can be able to use determine which of the lines would be the line of best fit of the data that we have.

Looking up the models that we have we can see that the best line would have a line that fit into most of the points that occur in the graph and would be the best regression line.

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Answer:

Step-by-step explanation:

You want the sums of various geometric series.

The sum of n terms of a geometric sequence with first term a1 and common ratio r is ...

 Sn = a1·(r^n -1)/(r -1)

When the series is infinite, the sum will converge if and only if |r| < 1.

The ratio can be found as the ratio of the first two terms:

  r = a2/a1

The ratio is ...

  r = 16/2 = 2

The magnitude of r is greater than 1, so this series does not converge.

The ratio is ...

  r = 25/5 = 5

The magnitude of r is greater than 1, so this series does not converge.

The ratio is ...

  r = 4/1 = 4

The magnitude of r is greater than 1, so this series does not converge.

The ratio is ...

  r = 12/24 = 1/2

The sum of the first 8 terms is ...

  S8 = 24·((1/2)^8 -1)/(1/2 -1) = 24·(-255/256)/(-1/2) = 24(255/128)

  S8 = 47 13/16

The ratio is ...

  r = -6/3 = -2

The sum of the first 10 terms is ...

  S10 = 3·((-2)^10 -1)/(-2 -1) = 3(1023)/(-3)

  S10 = -1023

__

Additional comment

If you have a number of these, a spreadsheet or graphing calculator can do the math for you.

A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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Sample is used more often than a population as B. It is usually impossible to count the entire population

In many cases, it is not practical or possible to gather data from every member of a population. For example, imagine trying to survey the purchasing habits of every single adult in the United States. It would be incredibly time-consuming, costly, and difficult to reach everyone.

Instead, researchers use a sample, which is a smaller group of individuals chosen from the population. By analyzing the data from a sample, researchers can make inferences about the population as a whole.

Therefore, the correct option is B.

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If the Wardrobe consists of 2 shirts , 3 pair of pants and 16 bow ties , then the number of different outfits that can be made are 96 outfits .

The number of shirts in the Wardrobe is = 2  shirts ,

The number of pairs of pants in the wardrobe is = 3 pairs of pants ,

the number of bow ties in the wardrobe is = 16 bow ties ,

The number of different outfits that can be made from the wardrobe  can be calculated by the Multiplication Principle ;

That means , the number of different outfits made is = (number of shirts) × (number of pair of pants ) × (number of bow ties )

substituting the values ,

we get ,

= 2 × 3 × 16 ,

= 6 × 16 ,

= 96 .

Therefore , 96 different outfits can be made from the Wardrobe .

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By using probability You can mix and match the two shirts, three pairs of pants, and sixteen bow ties to create 48 different outfits.

To calculate the number of possible outfits, you would first multiply the number of shirts (2) and pants (3) to get 6. Then, you would multiply 6 and the number of bow ties (16) to get 96. Finally, you would divide 96 by the number of shirts (2) to get 48

2 x 3 = 6

6 x 16 = 96

96 / 2 = 48

You can create different outfits by mixing and matching the items in your wardrobe. To calculate the number of possible outfits, you would first multiply the number of shirts (2) and pants (3) to get 6. Then, you would multiply 6 and the number of bow ties (16) to get 96. Finally, you would divide 96 by the number of shirts (2) so that each shirt is accounted for only once, resulting in 48 different outfits.

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Answer:

7

Step-by-step explanation:

Answer:
7

If this help please set brainliest.

Step-by-step explanation:

To find the length between Point A (-3,4) and Point B (4,4), we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates, we get:

distance = √((4 - (-3))^2 + (4 - 4)^2)

Simplifying this, we get:

distance = √(7^2 + 0^2)

Simplifying further, we get:

distance = √49

So the distance between Point A and Point B is approximately 7.

The response will be;

''The vertical line test is used to determine if each input has exactly one output.''

A relation between a set of inputs having one output each is called a function.

Given that;

The sample answer is,

''The vertical line test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function.''

Now,

Since, The sample answer is,

''The vertical line test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function.''

Hence, The correct response for the sample answer is,

''The vertical line test is used to determine if each input has exactly one output.''

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Answer:

$64.36 or 63.63

Step-by-step explanation:

[tex]22.9+27.6 = 50.5[/tex]

To find tax multiply by .08 and then add to the total

[tex]50.5*.08 = 4.04[/tex]

[tex]50.5 + 4.04 = 54.54[/tex]

I'm not sure of the tip is including the tax or not. However, with tax, multiply the total after tax by .18. Without tax multiply the total beforehand by .18. Then add to the total.

Tip after tax:

[tex]54.54*.18 = 9.82[/tex]

[tex]54.54+ 9.82 = 64.36[/tex]

Tip without tax:

[tex]50.5*.18 = 9.09[/tex]

[tex]54.54+9.09 = 63.63[/tex]

The average rate of change of the function f(x) on the interval [1, 4] is:

R = 3.

After a small search online, I found that the table for the function f(x) is:

x  f(x)

0   1

1    4

2   7

3   10

4   13

5   16

For any function f(x), we define the average rate of change on an interval [a, b] as:

R = ( f(b) - f(a))/(b - a)

In this case we want to find the average rate of change on the interval  1≤x≤4, then we will get:

R = ( f(4) - f(1))/(4 - 1)

Using the table we can see that:

f(4) = 13

f(1) =  4

Then the average rate of change is:

R = ( f(4) - f(1))/(4 - 1)

R = ( 13 - 4)/(4 - 1) = 9/3 = 3

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Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across [tex]x-[/tex] or [tex]y-[/tex] axis, and then change [tex]x-[/tex] or [tex]y-[/tex] coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change [tex]x-[/tex] or [tex]y-[/tex] coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  [tex]y-[/tex] axis

Horizontal translation is shifting the graph along  [tex]x-[/tex] axis.

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The length of AE will be;

⇒ 12 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the diagram,

⇒ CE = 12 units

⇒ BE = 5 units

Now,

Since, Triangle CBE is an right triangle.

And, We have;

⇒ CB = AB

⇒ ∠DBC = 90°

⇒ ∠ABE  = ∠DBC = 90° (opposite angles formed by the intersection of  AC and DE.)

As, ∠CBE and  ∠ABE are supplementary angles and form a straight line.

So, We get;

⇒ ∠CBE + ∠ABE =180°

⇒∠CBE =  180° - ∠ABE  

            = 180°- 90°

            = 90°

And, Between triangle ΔCBE  & ΔABE;

⇒ ∠CBE = ∠ABE = 90°

⇒ CB = AB (given)

⇒ BE = BE  (common side)

Hence, The triangles Δ CBE  & ΔABE are congruent.

⇒ Δ CBE  ≅ ΔABE( by S-A-S Congruency)

⇒ CE = AE ( as triangle Δ CBE  & ΔABE are congruent then the sides are same.)

⇒  AE = 12 units

Thus, The length of AE = 12 units

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The complete question is shown in figure.

Answer:

AE = 12 units

Step-by-step explanation:

A graph which represents the system of equations and its solution include the following: graph D.

In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs or data points on both the horizontal and vertical lines of a cartesian coordinate, which are generally referred to as the x-coordinate and y-coordinate respectively.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x - y = 2         ........equation 1.

x + y = -2       ........equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of the system of equations, which is given by the ordered pair (0, -2).

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Answer:  33.3% , 6.25%, 12.5%, 83.3%

Step-by-step explanation:

What percent of the pies are apples?

Number of apples = 80

Total pies = 240

Percentage of apple pies = 80/240 x 100% = 33.3% (3sf)

What percent of the pies are key lime?

Number of keylime = 15

Total pies = 240

Percentage of keylime pies = 15/240 x 100% = 6.25%

What percent of the pies are blueberry?

Number of blueberry = 30

Total pies = 240

Percentage of blueberry pies = 30/240 x 100% = 12.5%

What percent of the pies are NOT peach?

Number of peach = 40

Total pies = 240

Percentage of peach pies = 40/240 x 100% = 16.667%

Hence, percentage NOT peach pies = 100% - 16.667%

                                                             = 83.3% (3sf)

Answer:

5) 33%

6) 12.5%

7) 6.25%

8) 83%

Step-by-step explanation:

Not sure if this is a troll but I'll explain it to the best of my understanding:

5) Apple: 80/240 = 1/3 or 33%

You divide the # of apple pies by the # of total pies

6) Blueberry: 30/240 = 0.125 or 12.5%

You divide the # of blueberry pies by the # of total pies

7) Key Lime: 15/240 = 6.25%

8) There's 40 peach pies so you subtract 40 from 240. That leaves you with 200. So you do 200/240 and you get about 83%

The least number of comparisons needed to sort (order) five elements is 8.

Insertion sort is a simple sorting algorithm that works similar to the way you sort playing cards in your hands. The array is virtually split into a sorted and an unsorted part. Values from the unsorted part are picked and placed at the correct position in the sorted part.

Characteristics of Insertion Sort:

This algorithm is one of the simplest algorithm with simple implementation

Basically, Insertion sort is efficient for small data values

Insertion sort is adaptive in nature, i.e. it is appropriate for data sets which are already partially sorted.

There are 5! = 120 possible outcomes.

Therefore a binary tree for the sorting procedure will have at least 7 levels.

Indeed, 2h ≥ 120 implies h ≥ 7.

But 7 comparisons is not enough.

The least number of comparisons needed to sort (order) five elements is 8.

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The application of laws of exponents on the exponential functions gives;

1) ? = -2

2) ? = 4

Some of the laws of exponents are;

- When multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.

- When dividing two bases of the same value, keep the base the same, and then subtract the exponent values.

- Where a power is being raised by another power, multiply the exponents together and keep the base the same.

1) (2x^(?)y⁴)⁻³ = 1x⁶/8y¹²

Expanding this gives;

2⁻³x^(-3?)y⁻¹² = ¹/₈x⁶y⁻¹²

¹/₈x^(-3?)y⁻¹² = ¹/₈x⁶y⁻¹²

Equating like terms gives;

-3? = 6

? = 6/-3

? = -2

2) (a^3b^-2)^? = a^12 / b^8

Applying laws of exponents gives;

a^(3?)b^(-2?) = a^(12)b(-8)

Equating like terms gives;

3? = 12

? = 12/3

? = 4

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Her claims are wrong as per my studied when Your statistics instructor claims that 60 percent of the students who take her elementary statistics class go through life feeling more enriched

She says that 60% of the students are more enriched.

total number of students = 64

if 34 people feel more enriched, the ratio of the students that feel enriched to the total number of students then is ? \frac{34}{64} = 0.53125.

converting .53125 to percentage we'd multiply by 100%.

and hence have .53125*100% =53.125%

since 53.125% is less that the 60% claimed by the instructor, then i infer that her claims are wrong

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The extension or reduction of the line takes place when a line segment is dilated from a point on the line.

When a line segment is dilated from a point on the line, the line segment is extended or reduced in size, depending on the dilation factor.

This dilation can be done by either shrinking the line, making it longer or using a combination of both.

When the dilation is done, the original line and the resulting line will be the same length, but their position will be different. The line segment will be moved or rotated around the point of dilation, so the original line will be in a different position than the resulting line.

The point of dilation will be the same distance from both the original and the resulting line.

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The expression that represents the net yardage for these plays is given as follows:

19.8x - 11.1y.

The net yardage is given by the sum of all yards gained for the sum of all yards lost.

For example, if Josh Allen passes for 350 yards but loses 20 yards on sacks, his net yardage is given as follows:

350 - 20 = 330 yards.

Then the expression that gives the total net yardage for this problem is given as follows:

25x + 0.9y - 12y - 5.2x.

The expression can be simplified combining the like terms, as follows:

25x - 5.2x + 0.9y - 12y.

(25 - 5.2)x + (0.9 - 12)y

19.8x - 11.1y.

(as combining the like terms means that all the terms with the same letter  and same exponent are added/subtracted).

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The required equation of the line in slope-intercept form is: y = (1/2)x + (3/2)

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The graph is given in the question, as shown

As per the given graph, we take two points (-3, -4) and (5, 0).

The slope formula is:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the coordinates of two points on the line.

Plugging in the coordinates of the given points:

m = (0 - (-4)) / (5 - (-3)) = 4/8 = 1/2

The point-slope form of a line is:

y - y₁ = m(x - x1)

Plugging in the coordinates of the first point and the slope:

y - (-4) = (1/2)(x - (-3))

Simplifying:

y + 4 = (1/2)x + (3/2)

This is the required equation of the line.

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The two true statements regarding the circle equation are:

"The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9"

"The center of the circle lies on the x-axis."

Remember that the equation for a circle of center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 - 2x - 8  =0

First we need to complete squares on x, remember the perfect square trinomial:

(a - b)^2 = a^2 - 2ab + b^2

So we can rewrite:

x^2 + y^2 - 2x - 8  =0

(x^2 - 2x) + y^2 = 8

Now we can add and subtract 1:

(x^2 - 2x) + y^2 + 1 - 1 = 8

(x^2 - 2x + 1) + y^2 - 1 = 8

(x - 1)^2 + y^2 = 8 + 1

(x - 1)^2 + y^2 = 3^2

So, the center is (1, 0) and the radius is 3.

Then the true statements are:

"The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9" it is also 3.

"The center of the circle lies on the x-axis." because the center is at (1, 0).

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Leala writes essay in 10 minutes contains roughly 83 words.We can find by unitary method.

The unitary method is a technique for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value.We can find multiplying by other values.

Multiplication is one of the basic mathematical operations. When two or more numbers are multiplied together the answer obtained is called the product. In the case of the multiplication of two numbers the first number in which the other is being multiplied is called the multiplicand.

Now

Number of word=500

Number of minutes=10

she writes in 60 minute= 500

she writes in 10 minute= 500/60 *10

                                       =500/6

                                        =83.33 words

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Answer:

Here is a table to organize the information given:

Type of Bug Number of Bugs Number of Legs

Ants x 2x

Spiders 54 - x 350 - 2x

We are trying to find the value of x, which is the number of ants that Angelica has. We know that the total number of legs is 350 and the number of legs on the ants is 2x, so we can set up the equation:

350 = 2x

To solve for x, we can divide both sides by 2:

x = 350 / 2

= 175

Therefore, Angelica has 175 ants in her collection. The number of spiders in her collection is 54 - x = 54 - 175 = -121. This is not possible, because it is not possible to have a negative number of bugs. This means that the initial assumption that x represents the number of ants is incorrect, and there must be a different solution.

Alternatively, we could assume that x represents the number of spiders in Angelica's collection. In this case, the equation would be:

350 = (54 - x) * 8

Solving for x, we find that x = 27, so Angelica has 27 spiders in her collection. This is a valid solution, because it is possible to have 27 spiders and 27 ants in a collection of 54 bugs.

Step-by-step explanation:

Answer:

Second, Third and fifth options

Step-by-step explanation:

Angle 1 not equal to Angle 2 (Add up to 180 degrees)

Angles 1 and 4 - Vertically opposite angles (Equal)

Angles 3 and 6 - Alternate angles (Equal)

Angle 3 not equal to Angle 5 (Add up to 180 degrees) - angles of a parallelogram

Angles 7 and 2 - Alternate angles and vertically opposite angles (Equal)

Angle 7 not equal to Angle 1 (Same reasoning as angles 3 and 5)

On solving the provided question, we can say that- in the triangle UB = UG so, <UBG = <UGB, x+ 10 + x+ 10 + 3x = 180 => x = 32

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

UB = UG

so, <UBG = <UGB

x+ 10 + x+ 10 + 3x = 180

5x + 20 = 180

5x = 160

x = 32

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Answer:

Applying Boadmass

( 1-1/4)^-2

(3/4)^-2

(4/3)^2

(1.333) ^2

1.76

Step-by-step explanation:

Rite a partial decay series for At-217 undergoing the following sequential decays,

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

In order to change into a more stable state, a radioactive atom will naturally produce radiation in the form of energy or particles. It is necessary to distinguish between radioactive material and the radiation it produces. Beta, gamma, and alpha decay are the three kinds of radioactivity.

"Alpha decay," a common form of radioactive decay, happens when a nucleus emits an alpha particle (a helium-4 nucleus). During the usual radioactive decay process known as beta decay, a nucleus generates beta particles. The child nucleus will possess a greater atomic mass than the parent nucleus.

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

β decay:

213 Bi     →       0 e  +  213 Po

83                   -1           84

α decay:

213 Po    →        4 α  + 209 Tl

84                    2           82

β decay:

209 Tl     →        0 e  + 209 Pb

82                    -1          83

Therefore,

Rite a partial decay series for At-217 undergoing the following sequential decays,

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

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The cheaper drink between the drink is the 12 ounces drink.

The cheaper drink between the 8 ounce drink and the 12 ounces drink, would be the one that cost less per ounce.

To find the cheaper drink, the formula is:

= Cost of drink / Number of ounces

The cost of the 8 ounce drink is:

= 1. 28 / 8

= $ 0. 16 per ounce

The cost of the 12 ounces drink is:

= 1. 68 / 12

= $ 0.14 per ounce

The 12 ounces drink is therefore cheaper.

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The question is:

Which drink is cheaper per ounce ?