Which of the following sequences are geometric?
Check all that apply.

Answer: look at the image for the answer and the solution

Step-by-step explanation:

Answer: the home of it is 78 degrees

Step-by-step explanation:

as the angular bisector is shown then we can say that its right

Answer:

D because all sides are equal

Step-by-step explanation:

The constant in an expression is the number without any letters attached to it.

Looks like B and E are the only ones with constant. The other 3 only have numbers attached to numbers

The percentage of white marbles on the jar is obtained dividing the number of white marbles by the total number of marbles.

A percentage is calculated applying a proportion, dividing the number of total outcomes by the number of desired outcomes, and then multiplying by 100%.

The outcomes for this problem are given as follows:

The problem is incomplete, hence the standard procedure to obtain the percentage of white marbles was presented.

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Answer: x=3

Step-by-step explanation:

4x-3y=18

4x-3(-2)=18

4x+6=18

(4x=12)/4

x=3

Keenan has placed his solar panel at an optimal angle.

The cosine law is a mathematical relationship between the sides and angles of a triangle. The cosine law states that:

cos(C) = (a² + b² - c²) / 2ab

where a, b, and c are the lengths of the sides of the triangle and C is the measure of one of the angles. This law can be used to find unknown side lengths or angle measures in a triangle when given the other values.

Check the attached image for labelling.

The angle we are trying to calculate is labelled C.

cos (C) = (20² + 18² - 19²) / (2*20*18)

cos (C) = 363/720

C = cos⁻¹(363/720)

C = 59.72°

Since the angle obtained is between 58° and 60°. Thus, Keenan has placed his solar panel at an optimal angle.

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The function f(x) = [tex]\left \{ {{x+1} ,for x \leq 2 \atop {2x-1}, for 1 < x < 2} \atop {x-1} , for x < 1 \right.[/tex] is continuous to all the values.

In mathematics, a function is a rule that assigns each element from one set (called the domain) to exactly one element of another set (called the range). The continuity of a function describes how smoothly it behaves as its input values change. In this context, we will analyze the continuity of the given function.

The given function is a piecewise function, which means it has different rules for different intervals of its domain. Let's analyze each interval separately to determine if the function is continuous or discontinuous.

For x less than or equal to 2, the function is f(x) = x + 1. This is a linear function, and we know that all linear functions are continuous everywhere. Therefore, the function is continuous for x less than or equal to 2.

For 1 < x < 2, the function is f(x) = 2x - 1. This is also a linear function, and as we said before, all linear functions are continuous. Therefore, the function is continuous for 1 < x < 2.

For x less than 1, the function is f(x) = x - 1. This is also a linear function and is continuous for all values of x less than 1.

Therefore, we can conclude that the given function is continuous for all values of x.

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Answer:

x = 1

Step-by-step explanation:

2(4x + 5) - 3 = 5x(2+1)

Distribute.

8x + 10 - 3 = 10x + 5x

Subtract 8x from both sides.

10 - 3 = 10x + 5x -8x

Solve

7 = 15x - 8x

7 = 7x

1 = x

Answer:

The expression is a summation, or the sum of a sequence of terms. Each term is equal to 900 * (1.04)^n+1, where n starts at 1 and goes up to infinity.

To calculate this sum, we would need to find the limit of the sequence as n approaches infinity. However, finding the exact value of this sum is not possible and would require the use of mathematical tools like mathematical analysis.

To estimate the value, we can use a calculator or spreadsheet to calculate the sum for a finite number of terms and then see how the sum changes as we increase the number of terms. For example, if we calculate the sum for n = 1 to 100, we would get an estimate of the value. If we then calculate the sum for n = 1 to 200, we would get a closer estimate.

In this case, we can round the expression to the nearest integer, which would be 53.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you are implying that the equation is "6x = 60"

Divide both sides by 6 to get just x by itself, then you'd have your answer.

X  = 10

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

When the statistics students number = 2·x + 3, we have;

The number of students that study

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

See the attached Venn Diagrams.

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No, we would not expect about 95% of the samples to have their variances within 0.008 of 0.009.

The variance of a normal distribution with mean μ and variance σ^2 is given by σ^2, which in this case is equal to (0.004)^2 = 0.000016.

The variance of the sample means, on the other hand, is given by σ^2/n, where n is the sample size. In order for about 95% of the samples to have variances within 0.008 of 0.009, we would need the sample size to be approximately equal to:

n ≈ σ^2 / (0.008 - 0.009)^2 = 62500

This means that we would need very large samples for this to be true. However, if the sample size is relatively small, then the distribution of sample means will not necessarily be normal and the Central Limit Theorem may not apply.

In that case, the distribution of sample variances will not necessarily follow the same pattern as the distribution of the population variance, and it may not be possible to make predictions about the sample variances based on the population parameters.

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The value of the ratio (new to original) of the perimeters as required in the task content is; 0.5.

The value of the ratio (new to original) of the perimeters as required in the task content is; 0.25.

Recall, a dilation of a point, (x, y) using a scale factor of k is; (kx, ky).

Also; for shapes A and B;

Perimeter (A) / Perimeter (B) = k.

Also, Area (A) / Area (B) = k².

On this note, since the dilation factor of the pre-image is 0.5, it follows that the ratio of the perimeters of the new to original is; 0.5.

Also, the ratio of the area of the new to original is; 0.5² = 0.25.

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Answer:

x + y = -6

Step-by-step explanation:

Just put x and y and add the number on the RHS
Its really not that hard

But i hope it helped

The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

What is inequality?

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

The given graph is wrong for the given inequality  y ≤ 3x - 2

The correct graph for the given inequality is shown below.

The given graph would be correct for the inequality

y ≥ 3x - 2.

Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

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The time and distance of both the boys Jake and Ethan when they meet with each other is equal to 40 minutes after covering 5 miles.

Constant rate by which Jake run is equal to  8 minutes per mile.

Rate of Ethan longboard for first two miles = 5 minutes per mile

Rate of Ethan longboard for rest of the miles = 10 minutes per mile

Time taken by each of them is :

Miles       Time taken by Jake (minutes)       Time taken by Ethan(minutes)

1                    8 min                                                 5 min

2                   16 min                                                10 min

3                    24 min                                               20 min

4                    32 min                                               30 min

5                    40 min                                               40 min

6                     48 min                                               50 min

Therefore , time and distance at which Jake and Ethan  meet is equal to 40 minutes that is at 5 miles.

The above question is incomplete , the complete question is:

Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles.

Find out the time and distance at which both meet.

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In a scale drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 8500 kilometers, 17.5 millimeters is the correct answer.

A millimeter, abbreviated mm, is the smallest unit for length in the metric, or Standard International, system of measurement. It is used to measure small lengths and for precise measurements. Millimeters can be converted to either units within the metric system or the customary system of measurement.

Divide 8500 kilometers by which 500 km equals 17.5 millimeters.

Therefore, In a scale drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 8500 kilometers, 17.5 millimeters is the correct answer.

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Number of candies that will be left with Jack is 1.375 pounds if the total candies were 5 pounds.

Subtraction can be done for any numbers or algebraic expressions.

It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be called as finding the difference.

Given that,

Total candies that Jack bought = 5 pounds

Candies given to trick or treaters = 3 pounds

Candies left = 5 - 3 = 2 pounds

Amount of candies ate = 10 ounces

16 ounces = 1 pound

10 ounce = 10 / 16 pounds = 0.625 pounds

Amount of candies ate in pounds = 0.625 pounds

Candies left = 2 - 0.625 = 1.375 pounds

Hence the amount of candies left is 1.375 pounds.

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Your question is incomplete. The complete question is given below.

Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy. How many ounces of Halloween candy does jack have?

The number of pages in the book is given as follows:

58 pages.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the graph, two points are given as follows:

(2,48) and (8, 18).

When x increases by 6, y decays by 30, hence the slope m is given as follows:

m = -30/6

m = -5.

Hence:

y = -5x + b.

When x = 2, y = 48, hence the intercept b, representing the number of pages in the book, is given as follows:

48 = -10 + b

b = 58.

The graph is given by the image presented at the end of the answer.

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The exact value of sin V in simplest radical form is 0.813.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

Given;

Sin ratio √74:7

Now,

AB/sinA=BC/sinB

√74/sinA = 7/sinB

√74/sin90 = 7/sinB

sinB=7/√74

sinB=0.813

Therefore, the answer of sin V will be 0.813.

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The standard deviation of the number of lemons used is equal to 14.7.

Mathematically, the mean for these set of data would be calculated by using this formula:

Mean = [F(x)]/n

F(x) = 47 + 45 + 61 + 44 + 16

F(x) = 213.

Mean = 213/5

Mean = 42.6

Next, we would calculate the standard deviation of this data set by using this formula:

SD = √(1/n × ∑(xi - u₁)²)

SD = √(1/5 × (47 - 42.6)² + (45 - 42.6)² + (61 - 42.6)² + (44 - 42.6)² + (16 - 42.6)²)

Standard deviation, SD = √(1073.2/5)

Standard deviation, SD = 14.7.

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AD is also an internal bisector of ΔABC, this statements prove that AB is congruent to AC.

What is the bisector of the triangle?

The bisector of a triangle is a segment that divides one of its interior angles into two equal parts and continues until it reaches the side opposite that angle. In other words, the bisector of a triangle is a line that divides each interior angle of the triangle into two equal angles.

We have given,

Segment AD is an altitude of ΔABC.

If CD ≅ BD

So, AD is the middle line of the triangle

AD is also an altitude of ΔABC.

So, AD is also an internal bisector of ΔABC

So, AB ≅ AC            ............{Thereom of unity of three lines}

Hence, AD is also an internal bisector of ΔABC, this statements prove that AB is congruent to AC.

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The blue box measures about 641.667 cm in length.

The width and length of a figure indicate its breadth and length, respectively. The term "breadth" is also used to describe width. Although breadth and width are synonymous (thus the idiom hair's breadth, denoting a very small width), there are two significant differences between the two.

We are aware that the blue box's width is 18 cm, which is smaller than the green box's width (70cm).

As a result, the value of "k" must be lower than 1. By creating a proportion, we can determine the value of "k":

width of green box / width of blue box = k

70 / 18 = k

k = 70/18

k ≈ 3.8889

So the factor "k" is approximately 3.8889. To find the length of the blue box, we can use this factor to scale the length of the green box:

length of blue box = k * length of green box

length of blue box = 3.8889 * 165cm

length of blue box ≈ 641.667cm

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Las actividades de apertura son descripciones de diferentes relaciones geométricas. Aquí está la explicación de cada una:

a) Dos ángulos rectos tienen una medida de 90 grados.

b) Dos ángulos agudos tienen una medida menor a 90 grados.

c) Dos ángulos suplementarios suman a 90 grados.

d) Dos ángulos complementarios suman a 90 grados.

e) Dos rectas paralelas no se cruzan.

f) Dos rectas perpendiculares se cruzan en un ángulo recto de 90 grados.

g) Una recta transversal corta a dos o más rectas, creando ángulos en los puntos de intersección.

Dos ángulos rectos son dos ángulos que tienen una medida de 90 grados. En geometría, un ángulo recto es un ángulo que tiene una medida de 90 grados y se representa con una línea diagonal que forma cuatro cuartos iguales.

Los ángulos rectos son importantes en la construcción y el diseño, ya que permiten la creación de formas simples y precisas. Por ejemplo, dos ángulos rectos pueden ser utilizados para formar un cuadrado o un rectángulo, mientras que un ángulo recto y un ángulo agudo pueden ser utilizados para formar un triángulo rectángulo.

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Answer: the perimeter of the polygon is 29cm

Step-by-step explanation:

In a case whereby there are 7213 applicants for the astronaut program only one half of the applicants which is about 3607 applicants will be accepted into the program​.

The concept that will be used here is multiplication. One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size.

The symbols for multiplication are cross (), asterisk (*), and dot (). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).

Total applicants =7213 applicants

Then one half of the applicants  = 1/2 of 7213

=7213/2

= 3607 applicants

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complete question:

There are 7213 applicants for the astronaut program only one half of the applicants which is about ______will be accepted into the program​

Answer:

Let the number of $2 notes be x, while that of $10 notes be y.

Set two equations

x + y = 21     y = 21 - x ------- 1

2x + 10y < 110  ------ 2

Sub 1 into 2

2x + 10(21-x) < 110

2x + 210 - 10x < 110

-8x < -100

x > 12.5

Minimum number of $2 notes in the envelope = 13

The function among all options is y=30.5(0.7)ˣ.

The graph of a function represents a set of all points in a plane. It helps to derive the nature of the function.

The function must satisfy the points that are given in the graph.

When x=0, y=21.35(0.7)ˣ=21.35(0.7)⁰=21.35.

But the given point is (0,30.5).

Hence, it cannot be the required function.

When x=0, y=30.5(21.35)ˣ=30.5(21.35)⁰=30.5.

When x=1, y=30.5(21.35)ˣ=30.5(21.35)¹=651.175.

But the given point is (1,21.35).

Hence, it cannot be the required function.

When x=0, y=30.5(1.3)ˣ=30.5(1.3)⁰=30.5.

When x=1, y=30.5(1.3)ˣ=30.5(1.3)¹=39.65

But the given point is (1,21.35).

Hence, it cannot be the required function.

When x=0, y=30.5(0.7)ˣ=30.5(0.7)⁰=30.5.

When x=1, y=30.5(0.7)ˣ=30.5(0.7)¹=21.35.

When x=2, y=30.5(0.7)ˣ=30.5(0.7)²=14.945≈14.95.

It satisfies all three given points.

Therefore, the required function is y=30.5(0.7)ˣ.

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The value of m <2 is C. 120°

In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.

In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.

Therefore,

m<2 = m<6

This is because they are corresponding angles

With this in mind, m<6 = 120°

Therefore, m<2 = 120°

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If A, B, and C are n×n invertible matrices, then the solution for "x" in the equation "C⁻¹(A+X)B⁻¹ = Iₙ" is X = BC⁻¹ - A .

The Equation is ⇒ C⁻¹(A+X)B⁻¹ = Iₙ,

We first  multiply both sides by B and C to remove the inverses ;

⇒ C⁻¹(A+X)B⁻¹×BC = I×BC  ;

Simplifying, we get ;

⇒ C⁻¹(A+X)C = B ;

Next, we can multiply both sides by C⁻¹ to separate (A+X) ;

⇒ (A+X)C×C⁻¹= B×C⁻¹  ;

Simplifying, we get:

⇒ (A+X) = BC⁻¹  ;

Now , we subtract "A" from both sides, we get ;

⇒ X = BC⁻¹ - A  ;

So , the solution for X is : X = BC⁻¹ - A  . This solution exists because A, B, and C are all n×n invertible matrices, which means that their inverses exist and the product of invertible matrices is also invertible.

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The given question is incomplete , the complete question is

If A, B, and C are n×n invertible matrices, does the equation C⁻¹(A+X)B⁻¹ = Iₙ have a solution, X ? If so, find it.