Find the value of Y.

The explicit formula for the geometric sequence is,

⇒ tn = 7 (2ⁿ - 1)

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The geometric sequence is,

⇒ 7,14,28,56,112,…

Here, First term = 7

And, Common ratio = 14 / 7 = 2

We know that;

The explicit formula for the geometric sequence is,

⇒ tn = t₁ (rⁿ - 1) / (r - 1)

Substitute all the values we get;

The explicit formula for the geometric sequence is,

⇒ tn = 7 (2ⁿ - 1) / (2 - 1)

⇒ tn = 7 (2ⁿ - 1)

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Answer:

Step-by-step explanation:

The value of the investment can be calculated using the compound interest formula:

A = P * (1 + (r/n))^(nt)

Where:

A = final amount

P = principal amount (5070)

r = annual interest rate (0.05)

n = number of times the interest is compounded in a year (4)

t = number of years (15)

So,

A = 5070 * (1 + (0.05/4))^(4*15)

A = 5070 * (1.0125)^60

A = 5070 * 2.693260689

A = 13,652.14

The value of the investment after 15 years compounded quarterly at 5% per year is $13,652.14, rounded to the nearest cent.

Answer:The answer is letter E

Step-by-step explanation:

If you divide 4/15 you get 0.2666.

If you solve all of the choices letter E is equivalent to the expression.

Answer: sample mean is 166,4285714285714

and sample median is 170

Step-by-step explanation: sorry if its wrong

Answer:

Step-by-step explanation:

a. To compute the sample, mean, we add up all the weights and divide by the number of responses (in this case, 7):

(190 + 230 + 105 + 180 + 130 + 160 + 170) / 7 = 1265 / 7 ≈ 180.71

Therefore, the sample mean weight estimate is approximately 180.71 pounds.

b. To find the sample median, we need to put the responses in order from smallest to largest and then find the middle value. In this case, the ordered list of weights is:

105, 130, 160, 170, 180, 190, 230

The middle value is the average of the two values in the middle of the list, which in this case is:

(170 + 180) / 2 = 175

Therefore, the sample median weight estimate is 175 pounds.

The ratio of the length of BC to the length of DE is 1/2.

Arc length is defined as the distance between any two points on a section of a circle or curve.

The figure in the question is given below.

The formula to find the length of an arc is given as,

Arc length, l = rθ, where r is the radius and θ is the central angle in radians.

Given that,

Central angle for arc BC, θ = 1.18 radians.

Radius for arc BC, r = AC = AB

Arc length of BC = rθ

                            = 1.18 (AB)

Central angle for arc DE, θ = 1.18 + 2.36 = 3.54 radians

Radius for arc DE, r = AE = AD = 2/3 AB

Arc length of DE = rθ

                            = 3.54 × (2/3) AB

                            = 2.36 (AB)

Arc length of BC / Arc length of DE = 1.18 (AB) / 2.36 (AB) = 1/2

Hence the ratio of BC to DE is 1/2.

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Answer:

DE: 3/4

Step-by-step explanation:

PlatoGang

Answer:

Below

Step-by-step explanation:

If it decays  7.1 % ( which is .071 in decimal ) then .929 remains at the end of each year and the equation becomes

y =  750 (.929^t)    where t is years since 1999   and y is mg

5 kilograms 45 grams is equal to 5045 grams.

Weight is a measure of the force of gravity acting on an object, and weight units are units of measurement used to express the weight of an object. There are several different weight units used in different parts of the world, but some of the most common weight units include grams, kilograms, pounds, and ounces.

Grams are a metric unit of weight commonly used in the scientific and medical communities, as well as for small items like jewelry and food ingredients.

Kilograms are also a metric unit of weight, equivalent to 1000 grams. Kilograms are often used to express the weight of larger objects, such as people, animals, and heavy packages.

Pounds and ounces are units of weight used primarily in the United States and the United Kingdom. Pounds are equivalent to 16 ounces, and are used to express the weight of larger objects. Ounces are a smaller unit of weight and are often used for items like food and small packages.

To convert kilograms to grams, we multiply the number of kilograms by 1000. Therefore, 5 kilograms is equal to 5 x 1000 = 5000 grams.

Adding the 45 grams, we get 5000 + 45 = 5045 grams.

So, 5 kilograms 45 grams is equal to 5045 grams.

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The quotient of a number and -5, decreased by 9, is 2.”So, the number is -55.

The dividend is the quantity being divided (15 in this case), and the divisor is the quantity being divided (3 in this case). Quotient is what remains after division. A quotient is the result of dividing one number by another. It is the number of times one number is contained within the other, or the answer to a division problem.

It is known as the quotient to divide two numbers. Six times two is the ratio, which equals three. The Latin word for ratio, "how many times," is quotient. This is very logical: by dividing two numbers, you are calculating "how many times" the second number enters the first.

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The procedure to determine the function's behavior is explained in this problem.

The problem is incomplete, hence the general procedure to obtain the function's behavior was presented.

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The 98% confidence interval for the population mean μ is 20 < μ < 22

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

n = 130

μ = 21

σ = 3

To construct a 98% confidence interval for the population mean μ, we can use the following formula:

μ ± (z * σ / √n)

Where

z = 2.33 i.e. the Z-score for a 98% confidence level

So, we have

21 ± (2.33 * 3 / √130)

Evaluate

21 ± 0.61

This gives

20.39 < μ < 21.61

Approximate

20 < μ < 22

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Answer:

Step-by-step explanation:

70000 + t600

Based on the picture above:

From the answer above, the way to determine the type of angle is to measure the angle.

if the angle is 90° then it is a right angle.

If the angle is 0-90° then it's an acute angle

If the angle is above 90° and below 180° then it is an obtuse angle

If the angle is 180° then it is called a straight angle.

The following is a more complete explanation:

1. Right Angles

Right angles have a measure of 90º and are perpendicular in shape. This angle is usually denoted by ∟. Examples of surrounding objects that have right angles include books, tables, cupboards, clock hands that show 3 o'clock, and so on.

2. Straight Angle

A straight angle has an angle of 180º. As the name implies, this angle is straight and flat. Examples of objects that have straight angles include a ruler and clock hands that show 6 o'clock.

3. Acute Angles

Acute angles have angles greater than 0º and less than 90º. As the name implies, this angle is pointed. Objects that have acute angles such as pencil tips, pizza slices, iron tips, and clock hands that show 1 and 2 o'clock.

4. Obtuse Angle

Contrary to an acute angle, an obtuse angle has an angle greater than 90º but less than 180º. As the name suggests, objects that have this angle are obtuse, such as laptops wide open, beach chairs, camping tents, and clock hands that show 4 and 5 o'clock.

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The probability that a randomly chosen bike in the parade was a recumbent bicycle will be 5/46.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the chance is given as,

P = (Favorable event) / (Total event)

A city held a bike parade. 10 bikers rode recumbent bicycles, and 82 bikers rode other types of bicycles.

The total number of bikers is given as,

Total bikers = 82 + 10

Total bikers = 92

Then the probability is given as,

P = 10 / 92

P = 5 / 46

The probability that a randomly chosen bike in the parade was a recumbent bicycle will be 5/46.

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A professor asserts that more than 77% of all scientists believe in evolution, and the p-value for the two-tailed test is 2 mincdf(x), 1 - cdf(x).

A type of statistic hypothesis known as a hypothesis claims that a certain group of data has no statistical power. The viability of hypotheses is investigated using sample data. Sometimes refer to as "zero," and represented as H0. The premise that researchers make is that there is a link between the variables. The null hypothesis, on the contrary hand, asserts that such a link does not exist. Despite its inability to seem relevant, the null hypothesis is a critical component of research.

given

You must understand the distribution of your test statistic on the supposition that the null hypothesis is correct in order to calculate the p-value.

Left-tailed test: cdf as the p-value (x).

Test with a right-tail: p-value = 1 - cdf (x).

p-value for the two-tailed test is 2 mincdf(x), 1 - cdf(x).

A professor asserts that more than 77% of all scientists believe in evolution, and the p-value for the two-tailed test is 2 mincdf(x), 1 - cdf(x).

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Answer:1950 US tons

Step-by-step explanation:

The plastic coating required to cover the surface of the coating is 527.52 cm²

The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr². Substitute to get V = πr²h.

Given here: The radius is 3 cm and a height 25 cm

We know the total surface area of the cylinder is

TSA=2πrh + 2π r².

      =2πr(r+h)

      =2×3.14×3(3+25)

      =527.52 cm²

The plastic coating required to cover the surface of the coating is 527.52 cm²

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Answer:

To find the surface area of the cylinder that makes up the chain link, we need to add the area of the top and bottom circles (which are congruent) to the lateral surface area of the cylinder.

Therefore, we need approximately 527.52 square centimeters of plastic coating to coat the surface of the chain link. The closest answer choice is 471, but that is not correct. The closest answer to the actual surface area is 345.4 cm².

Step-by-step explanation:

The formula for the lateral surface area of a cylinder is:

Lateral surface area = 2πrh

where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is 3.14.

The formula for the area of a circle is:

Area of circle = πr²

Substituting the given values, we get:

Area of top and bottom circles = 2 x π x 3²

Area of top and bottom circles = 56.52 cm² (rounded to two decimal places)

Lateral surface area = 2 x 3.14 x 3 x 25

Lateral surface area = 471 cm²

Total surface area = Area of top and bottom circles + Lateral surface area

Total surface area = 56.52 + 471

Total surface area = 527.52 cm²

This statement describes the process of innovation portfolio management.

A statement in mathematics is a declarative utterance that is either true or untrue but not both. A proposal is another name for a statement. The main point is that there should be no uncertainty. A sentence cannot be both true and untrue in order to be a statement. A mathematical statement is made up of two components. The hypothesis or assumptions come first, followed by the conclusion. When a mathematical sentence makes a mathematically accurate statement, it is true.

Here,

This statement describes the process of innovation portfolio management. Innovation portfolio management involves evaluating and selecting innovation projects in line with an organization's goals and resources, and ensuring that these projects are aligned with the overall strategy of the firm. The aim of innovation portfolio management is to optimize the allocation of resources and maximize the return on investment in innovation.

By selecting and prioritizing innovation projects, companies can ensure that they are working on initiatives that have the greatest potential to drive growth and success, while also balancing risk and resource constraints.

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Michael has made 3.21 batches of granola.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Michael has a granola recipe that requires 14 pounds of oats to make one batch of granola.

If Michael uses 45 pounds of oats while making granola,

then number of batches he made,

= 45 /14

= 3.21

Hence, he made 3.21 batches.

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The new coordinates of B'  is (-3, 1)

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

B = (3, -1)

The figure is rotated 180° counterclockwise.

This is represented as

(x, y) = (−x,−y)

Substitute the known values in the above equation, so, we have the following representation

B' = (-3, 1)

Hence, the image poont is (-3, 1)

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The linear function for the total amount added to the account each month is given as follows:

T(n) = 650 + 740n.

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

y = mx + b.

In which:

Then the parameters for this problem are given as follows:

Hence the function is given as follows:

T(n) = 650 + 740n.

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The area under the curve between the mean and a z-score

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

1. z = (x[tex]- \mu) /\sigma[/tex]

z= (52350 - 46292)/ 4320

z = 1.40

P(X> 52350 )= P( z> 1.40) = P(z< -1.40)

P(Z>1.40) = 0.0808, which is 8.08%

2. Now, z = (x[tex]- \mu) /\sigma[/tex]

z= (45000- 46292)/ 4320

z = -0.30

and, z = (x[tex]- \mu) /\sigma[/tex]

z= (52350 - 46292)/ 4320

z = 1.40

Then, you must find the area between Z = -0.30 and Z = 1.40

So, P(Z<1.40) - P(Z < - 0.30)

= P(Z > - 1.40) - P(Z < - 0.30)

= 1 - P(Z< -1.40) - P( Z < -0.30)

The area under the curve to the left= 1 - 0.0808 - 0.3821 = 0.5371

3.  z = (x[tex]- \mu) /\sigma[/tex]

z= (38500- 46292)/ 4320

z = -1.8

Thus, the area under the curve to the right of Z = - 1.80 and to the left of Z = - 0.3

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The coefficient of x^2 in the expansion of (x + 2)^3 is 6

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

(x + 2)^3

Next, we expand the expression

So, we have the following representation

(x + 2)^3 = x^3 + 3x^2 * 2 + 3x * 2^2 + 2^3

Evaluate the expression

(x + 2)^3 = x^3 + 6x^2 + 12x + 8

The coefficient of x^2 in the expression  x^3 + 6x^2 + 12x + 8 is 6

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Answer:

Step-by-step explanation:

The answer to the question is 15

Answer:

1.2

Step-by-step explanation:

To find the diameter, you must multiply the radius by two

The amount of chemical solution needed to fill the container to the top is 165.56 L.

If the container is already 90% filled with a chemical solution, then the remaining empty space is 10% of the total volume. We can calculate the total volume of the container using the formula:

                 total volume = volume of solution/fraction of container filled

Plugging in the given values, we get:

                 total volume = 1490 / 0.9

                 total volume = 1655.56 L

So, the total volume of the container is 1655.56 L. To fill the container to the top, we need to add the amount of solution that fills the remaining 10% of the container. This is equivalent to:

                volume of remaining space = 0.1 * 1655.56

                volume of remaining space = 165.56 L

Therefore, we need to add 165.56 L of a chemical solution to fill the container to the top.

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The vertical asymptote of the function are 4. -4 and the horizontal asymptote is -1.

An asymptote is a line that a curve approaches but never touches. i.e., an asymptote is a line to which the graph of a function converges. When graphing functions, asymptotes are typically not required. However, when we graph them using dotted lines (imaginary lines), we have to be careful that the curve doesn't hit the asymptote. The asymptotes are therefore essentially made-up lines.

Given that, the function:

f(x) = (x² - 16) / (-x² - 16)

The horizontal asymptote of the function when both the degrees of numerator and denominator are equal is:

HA = Leading coefficient of numerator / leading coefficient of denominator

HA = 1 / -1

HA = -1

To calculate the vertical asymptote simplify the function:

f(x) = (x² - 16) / (-x² - 16)

f(x) = (x - 4) (x + 4) / (-x - 4) (-x + 4)

Equate the denominator to 0:

-x - 4 = 0, x= -4

- x + 4 = 0, x = 4

Hence, the vertical asymptotes of the function are 4. -4 and the horizontal asymptote is -1.

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The mean and standard deviation for each binomial random value: of n = 26, pi = .90

Mean = 23.4

Standard Deviation = 1.53

In one of the branches of mathematics called statistics, We use one term known as mean; it generally tells us what is the central tendency of the data set.

Generally, we use three terms for measurement of central tendency like, mean, median, mode.

In simple words, mean is an average of all the dataset.

formula;

Mean = Sum of all the dataset/Total number of dataset

Given that,

A binomial distribution with parameters,

n = 26 and p = 0.9,

the mean (expected value) of the distribution is given by:

E(X) = n x p

       = 26 x 0.9

       = 23.4

The standard deviation of the distribution is given by:

σ = √(n x p x (1 - p))

  = √(26 x 0.9 x (1 - 0.9))

  = √(26 x 0.9 x 0.1)

  = √(2.34)

  = 1.53

So the mean of the distribution is 23.4 and the standard deviation is 1.53.

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The 270° counterclockwise rotation about the origin is a transformation that turns each point (x, y) in the original triangle to (-y, x) in the new triangle.

A triangle is a three-sided polygon and is one of the basic shapes in geometry. It is a closed figure composed of three straight line segments, connected at their endpoints. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. Triangles are classified by their angles and their sides. Triangles can be right, acute, obtuse, isosceles, equilateral, and scalene. Right triangles have one angle that is equal to 90 degrees. Acute triangles have all angles that are less than 90 degrees. Obtuse triangles have one angle that is greater than 90 degrees. Isosceles triangles have two sides that are equal in length.

Triangle LMN' with vertices L'(1, 6), M'(3, 8), and N'(3, 3), Triangle LMN' with vertices L'(6, -6), M'(-8, -8), and N'(-8, -3), Triangle LMN' with vertices L'(-6, 6), M'(-8, 8), and N'(-8, 3)

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Using Amber's method of plotting, a graph representing the two seperate equations is attached.

3x^2: Is a curve and color green

- 4x : is a straight line graph, with red color

A graph is a pictorial representation of a an expression. It is used in several disciplines to represent and interpret data easily. Since graphs are pictures it show the relationship between functions or data presented with less difficulty.

here, we have,

The first graph is a curve because the expression involved is a polynomial this is to say the variable is raised to a power that is not 1 or zero.

The second graph is not a curve because the variable x has a power of 1

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