Three of the angles of a polygon are
105.5
sum of the angles in the
polygon is 2520 find each of the other
angles if they are equal to each other ​

Answer:

A, B, E

Step-by-step explanation:

Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.

Answer:

Option 1

Step-by-step explanation:

Take

\(10 {}^{11} \)

common out.

\((5.29 - 3.86) \times 10 {}^{11 } \\ 1.43 \times 10 {}^{11} \)

Answer: a

Step-by-step explanation: edge 2023

The equation of the circle with a radius of 111 and a center at (9, 5) is:

To determine the equation of a circle, we use the standard form equation:

\((x - h)^2 + (y - k)^2 = r^2\)

Where (h, k) represents the center coordinates of the circle, and r represents the radius.

In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:

(x - 9)^2 + (y - 5)^2 = 111^2

Expanding and simplifying further:

\((x - 9)^2 + (y - 5)^2 = 12321\)

Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:

(x - 9)^2 + (y - 5)^2 = 12321

This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.

To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.

It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.

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Answer:

Here's a high-level description of an NFA that accepts strings over the digits 0-9 but does not contain the sequence "777" anywhere in the string:

Start with a single initial state.

For each digit from 0 to 9, create a transition from the initial state to a new state labeled with that digit.

From each state labeled with a digit, create a transition to itself labeled with that same digit.

Create a transition labeled with any digit from each state labeled with a digit to a new state.

From the new state, create a transition labeled with any digit to itself.

Create a transition labeled with any digit from the new state to another new state.

From the second new state, create transitions labeled with 0, 1, 2, 3, 4, 5, 6, and 8 back to the initial state.

Create a transition labeled with 9 from the second new state to a final accepting state.

From the final accepting state, create transitions labeled with any digit back to itself.

This NFA effectively allows any sequence of digits except the sequence "777". It loops back to the initial state whenever it encounters a digit that is not part of "777". If it reaches the end of the string after encountering any other digit, it transitions to the final accepting state.

Please note that while this description provides a high-level idea of the NFA structure, it may be helpful to create a visual representation or a more detailed description with state labels, transition arrows, and specific state transitions if you need to implement this NFA in code or further analyze its behavior.

Answer:

t=p(unit pf weight)

Step-by-step explanation:

t=plbs

total price is the price time the lbs of feed

(unit of weight may change) depending on question

Answer: $3.64

Step-by-step explanation:

At the store, you buy four toys for $1.5, which means you pay $1.5 * 4, or $6.

Then, you calculate the sales tax, which is 6%, which means you multiply $6 by (100% + 6%), or $6*(1.06) which is $6.36.

Finally, if you hand the cashier $10, and you spent $6.36, your change is $10 - $6.36, which is $3.64.

Answer:

It's 54 Degrees

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

SO right off the bat it cannot be c, for they do definatly change.

Next, lets find out how much they change by.

The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.

This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.

Now, the mean is already 500/4. This equals 125.

So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.

That is 500/5. This equals 100.

This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25

That is 5x more of a decrease than the mean.

SO it must be A, since the mean decreased more than the median.

The original recurrence relation T(n) = T(n - 1) + n into a closed-form expression T(n) = T(n - 1) + n(n + 1)/2.

Recurrence relations are mathematical equations that define a sequence based on its previous terms. Solving recurrence relations is an important topic in computer science and mathematics. One technique used to solve such recurrences is called unrolling. In this explanation, we will use the unrolling technique to solve the given recurrence relation.

To solve the recurrence relation T(n) = T(n - 1) + n, with T(1) = 0, we will apply the unrolling technique. Unrolling involves expanding the recurrence relation by repeatedly substituting the recurrence equation into itself until we reach a base case.

Let's start by expanding the recurrence relation for a few terms:

T(n) = T(n - 1) + n

      = T(n - 2) + (n - 1) + n

      = T(n - 3) + (n - 2) + (n - 1) + n

We can observe a pattern here. Each time we expand the recurrence, we add the next term in the sequence, starting from n and going down to 1.

Continuing this process, we can express T(n) as the sum of all the terms from n to 1:

T(n) = T(n - 1) + T(n - 2) + T(n - 3) + ... + T(2) + T(1) + n + (n - 1) + (n - 2) + ... + 2 + 1

We can simplify this expression by grouping the terms:

T(n) = [T(n - 1) + T(n - 2) + T(n - 3) + ... + T(2) + T(1)] + [n + (n - 1) + (n - 2) + ... + 2 + 1]

The first part in square brackets represents the sum of the previous terms in the recurrence relation, which we denote as S(n-1):

T(n) = S(n - 1) + [n + (n - 1) + (n - 2) + ... + 2 + 1]

The second part in square brackets represents the sum of the integers from 1 to n, which is a well-known formula and can be written as n(n + 1)/2:

T(n) = S(n - 1) + n(n + 1)/2

Now, we need to find a closed-form expression for S(n-1). To do that, we can apply the same unrolling technique to the sum of the previous terms:

S(n - 1) = S(n - 2) + S(n - 3) + ... + S(2) + S(1)

We can notice that S(n-1) is essentially the same recurrence relation as T(n), but with a different initial condition. Therefore, we can rewrite S(n-1) as T(n-1) with a new initial condition:

S(n - 1) = T(n - 1) - T(1)

Substituting this back into the expression for T(n), we get:

T(n) = T(n - 1) - T(1) + n(n + 1)/2

We know that T(1) = 0, so we can simplify further:

T(n) = T(n - 1) + n(n + 1)/2

This is the final closed-form expression for the given recurrence relation. To calculate the value of T(n), you can either use this formula directly or implement it recursively or iteratively in a programming language.

Using the unrolling technique, we have transformed the original recurrence relation T(n) = T(n - 1) + n into a closed-form expression T(n) = T(n - 1) + n(n + 1)/2, which provides a more direct way to calculate the value of T(n) for any given n.

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Answer:

c i think

Step-by-step explanation:

Answer:

C.) x7      ;)

Step-by-step explanation:

:))))))))))))))

In a National Drug Code, the third set of digits, which consists of two numbers, represents the product strength and dosage form of the drug.

The National Drug Code (NDC) is a unique identifier assigned to drugs in the United States. It is a three-segment code that includes the labeler code, the product code, and the package code. Each segment provides specific information about the drug.

The third set of digits in the NDC represents the product strength and dosage form of the drug. These two numbers indicate the concentration or potency of the active ingredient in the drug and the specific form in which it is formulated, such as tablets, capsules, liquid, or injections.

For example, if the third set of digits is "10-20", it might indicate that the drug has a strength of 10 milligrams per dosage unit and is in the form of tablets. The specific interpretation of the digits may vary depending on the drug and the standards set by regulatory authorities.

Therefore, option (a) is the correct answer: The third set of digits in a National Drug Code represents the product strength and dosage form of the drug.

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Answer:

yes it can

Step-by-step explanation:

yes

Answer:

No

Step-by-step explanation:

You need to use the Pythagorean Theorem.  This will show you if the ratio between the sides is accurate.

a² + b² = c²

8² + 11² = 13²

64 + 121 = 169

185 ≠ 169

The measurements will not fit in a right triangle.

Answer:

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x in the given equation.}\)

\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)

\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{How is this possible?}}\)

\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)

\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)

\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)

\(\textsf{of once.}\)

\(\large\underline{\textsf{For our problem;}}\)

\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)

\(\textsf{Property of Equality;}/tex]

\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)

\(\tt - x^{3} = 8\)

\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)

\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)

\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)

\(\textsf{*Note;}\)

\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)

\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)

\(\underline{\textsf{We should have;}}\)

\(\tt -x=2\)

\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

Given

f(x) = 10^x

Now

LHS

f(a + b + c)

= 10^ a + b + c

RHS

f(a) • f(b) • f(c)

= 10^a • 10^b • 10^ c

= 10 ^ a + b + c

Therefore LHS = RHS

Proved .

Hope it will help :)❤

Answer: [3, 15]

Step-by-step explanation: f(0) = 15 -4(0) = 15

f(3) = 15 - 4(3) = 15 - 12 = 3.

The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.

Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.

The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:

£25 million = £52 million / (1 + r)^5.

Dividing both sides by £52 million and taking the fifth root, we have:

(1 + r)^5 = 25/52.

Taking the fifth root of both sides, we get:

1 + r = (25/52)^(1/5).

Subtracting 1 from both sides, we obtain:

r = (25/52)^(1/5) - 1.

Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.

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Answer:

LCD-3x(x+2)

Final answer- x2-4x+4/ 3x2+6x

Step-by-step explanation:

okay so LCD is 3*x*(x+2)

= 3x(x+2)

so multiyling the fist expresion by x+2 and the second by x we get

2x+4+ x2-6x/ 3x(x+2)

= so

x2-4x+4/3x(x+2)

x2-4x+4/ 3x2+6x

if my answer helps please mark as brainliest.

Answer:

\( \frac{ {12}^{8} }{ {12}^{4} } \\ = \frac{ {12}^{4} \times {12}^{4} }{ {12}^{4} } \\ = {12}^{4} =20736 \\ thank \: you\)

Here's the solution :

\( \hookrightarrow \dfrac{12 {}^{8} }{ {12}^{4} } \)

\( \hookrightarrow 12 {}^{8} \times {12}^{ - 4} \)

\( \hookrightarrow12 {}^{4} \)

The area of the rhombus is 17.5 square inches.

The formula to find the area of a rhombus is:

Area = (diagonal1 x diagonal2) / 2

where diagonal1 and diagonal2 are the lengths of the diagonals.

diagonal1 = 7 inches and diagonal2 = 5 inches.

we can plug these values into the formula:

Area = (7 x 5) / 2

Area = 35 / 2

Area = 17.5 square inches

Therefore, the area of the rhombus is 17.5 square inches.

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.

So, using the variable 'y' to represent the missing number and simplifying the equation, we have:

Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:

So the missing number is 10.

294y

1) An equivalent expression has the same value. So since that expression has been given, let's find its equivalent expression.

2) Note that in this expression, we have to multiply each parenthesis as factors, of a multiplication.

3) So the equivalent expression to that is 294y that it is equivalent since(7 x6) × (7 x y) is the factored form of it.

The correct answer is:

(a) about 4% of the variation in y has been explained by the model.

The answer is (a) about 4% of the variation in y has been explained by the model.

The coefficient of determination (R-squared) is given as 0.03579295, which represents the proportion of the total variation in the dependent variable (calculus achievement scores) that is explained by the independent variable (algebra placement test scores) in the model.

Since R-squared is the square of the correlation coefficient (multiple R), we can also interpret the value of multiple R as the correlation between the two variables. In this case, multiple R is given as 0.18919025, indicating a weak positive correlation between the two variables.

The adjusted R-squared is negative (-0.2856094), which suggests that the model is not a good fit for the data. However, the question specifically asks for the proportion of variation in the dependent variable that is explained by the model, which is represented by R-squared. Therefore, the answer is (a) about 4% of the variation in y has been explained by the model.

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The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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A schematic diagram is used to describe the wiring details of a specific piece of equipment.

A schematic diagram is a graphical representation that depicts the electrical connections, components, and circuitry of a system or device.

It provides a simplified and standardized visual representation of the wiring and electrical connections, allowing engineers, technicians, or users to understand the internal workings of the equipment.

In a schematic diagram, different symbols and lines are used to represent various electrical components such as resistors, capacitors, switches, transformers, and wires.

The connections between these components are illustrated using lines that indicate the flow of electrical current.

Schematic diagrams are widely used in various fields, including electronics, electrical engineering, telecommunications, and industrial automation.

They are essential for designing, troubleshooting, and repairing equipment as they provide a clear and concise representation of the electrical connections and functionalities.

Overall, schematic diagrams serve as a vital tool for understanding the wiring details of a specific piece of equipment, enabling efficient analysis, troubleshooting, and communication of electrical systems.

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Answer:

$126

Step-by-step explanation:

We solve using Compound Interest formula

For Matthew

Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.

P = $4700

R = 3 3/8 % = 3.375 %

t = 14 years

n = Compounded Monthly = 12

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 3.375/100

r = 0.03375 rate per year,

Then solve the equation for A

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

A = 4,700.00(1 + 0.03375/12)^(12)(14)

A = 4,700.00(1 + 0.0028125)^(168)

A = $7,533.80

For Peyton, we are using a different compound interest formula because it is compounded continuously

Peyton invested $4,700 in an account paying an interest rate of 3 1/4%

compounded continuously.

P = $4700

R = 3 1/4 % = 3.25%

t = 14 years

n = Compounded continuously

First, convert R as a percent to r as a decimal

r = R/100

r = 3.25/100

r = 0.0325 rate per year,

Then solve the equation for A

A = Pe^rt

A = 4,700.00e^(0.0325)(14)

A = $7,408.01

After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:

$7,533.80 - $7,408.01

= $125.79

Approximately = $126 to the nearest dollar

Answer:

126

Step-by-step explanation:

126 to the nearest dollar

We have proved that (x + 1)dy/dx + (x + 1)y - 4y = 0, which means that the expression is true.

To solve this problem, we need to use some algebraic manipulations and the properties of the derivative of sin(x) with respect to x.

First, let's simplify the expression inside the sine function:

log(x² + 2x + 1) = log((x + 1)²) = 2log(x + 1)

Substituting this into the original equation, we get:

y = sin(2log(x + 1))

Now, let's take the derivative of both sides of this equation with respect to x:

dy/dx = d/dx(sin(2log(x + 1)))
dy/dx = cos(2log(x + 1)) * d/dx(2log(x + 1))
dy/dx = cos(2log(x + 1)) * 2/(x + 1)

Now, let's simplify the expression we're trying to prove:

(x + 1)dy/dx + (x + 1)y - 4y
= (x + 1)cos(2log(x + 1)) * 2/(x + 1) * sin(2log(x + 1)) + (x + 1)sin(2log(x + 1)) - 4sin(2log(x + 1))
= 2(x + 1)cos(2log(x + 1))sin(2log(x + 1)) + (x + 1)sin(2log(x + 1)) - 4sin(2log(x + 1))
= (2x + 2)sin(2log(x + 1)) - 2sin(2log(x + 1)) - 4sin(2log(x + 1))
= 0

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The complete statements are

The complete question is added at the end of this solution

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

Garrick's plant:

Zan's plant:

Garrick's plant is shorter than Zan's plant and the difference in heights is

Actual difference = 100 mm - 10 mm = 90 mm

Measured difference = 88 mm - 8 mm = 80 mm

The percentage errors are calculated using

Percentage errors = Difference/Actual measurement * 100%

So, we have

Garrick's actual error = (10 - 8)/10 *100% = 20%

Zan's actual error = (100 - 88)/10 * 100% = 12%

Hence, Garrick's measurement was 20% off and Zan's was 12% off.

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