Show the work for this problem

Answer:

your answer would be a whole number, so your answer would be 1,000 i think.

this should be the answer because if you multiply

9*1000 you get  9000

if you multiply

25 * 1000 you get 25000

so on and so on

Step-by-step explanation:

hope this helps :)

Answer:

b=60 c=70 a=50 d=70 e=60 f=50

Step-by-step explanation:

Part 1:

Verbs:Run - I love to run in the park every morning.Sing - She sings beautifully in the choir.Eat - We eat dinner together as a family every evening.

Write - He writes poems in his free time.

Dance - They danced all night at the party.

Sleep - The baby sleeps peacefully in her crib.

Read - I enjoy reading books in my spare time.

Study - They are studying for their exams at the library.

Play - The children play soccer in the backyard.

Swim - She swims competitively at the national level.

Cook - He cooks delicious meals for his friends.

Jump - The athlete jumps over the high bar with ease.

Speak - She speaks three languages fluently.

Listen - We should always listen to others' opinions.

Paint - He paints beautiful landscapes on canvas.

Adjectives:

Happy - She has a happy smile on her face.

Tall - He is a tall basketball player.

Beautiful - The sunset over the ocean is beautiful.

Smart - He is a smart student who excels in all subjects.

Delicious - The cake tastes delicious.

Friendly - The neighbors are very friendly and helpful.

Exciting - The roller coaster ride was exciting and thrilling.

Brave - She showed a brave attitude during the challenging times.

Cold - The ice cream is cold and refreshing.

Funny - The comedian's jokes were funny and made everyone laugh.

Busy - They have a busy schedule with work and school.

Bright - The stars shine bright in the night sky.

Strong - He has a strong physique from regular exercise.

Interesting - The documentary was very interesting and informative.

Colorful - The garden is full of colorful flowers.

Nouns:

Book - I borrowed a book from the library.

Dog - The dog wagged its tail happily.

Table - We gathered around the table for dinner.

Car - She drove her car to work every day.

Tree - The tree provides shade in the hot summer.

Chair - He sat on the chair and relaxed.

School - The children went to school early in the morning.

Phone - She received a call on her phone.

Music - The music played softly in the background.

Friend - He invited his friend to his birthday party.

Flower - The garden was filled with colorful flowers.

Sun - The sun shines brightly in the sky.

House - They moved into a new house in the neighborhood.

Beach - They enjoyed a day at the beach with their family.

Rain - The rain started to fall heavily.

Part 2:

Report on the Importance of Capitalization, Abbreviation, and Ending Marks:

Capitalization, abbreviation, and ending marks are essential elements of written communication. They play a crucial role in conveying meaning, clarity, and professionalism in written language. Here is a brief explanation of their importance:

Capitalization: Capitalization is the use of capital letters at the beginning of sentences, proper nouns, titles, and certain words in specific contexts. It helps in distinguishing proper nouns from common nouns, provides emphasis, and contributes to the overall readability of the text. Incorrect capitalization can lead to confusion or misinterpretation of the intended message.

Abbreviation: Abbreviations are shortened forms of words or phrases. They are commonly used to save space, time, and effort in written communication. Abbreviations can be specific to certain fields, organizations, or common in everyday language. Proper and.

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Answer:

x= 52

y= 25

z= 90

pls mark me as BRAINLIAST

Step-by-step explanation:

side angle side, side side side, means if its congruent go by 1 side then the angle then another equal side to tell

Answer:

A. \(\text{r} = \frac{\text{E}-\text{v}}{\text{I}}\)

Step-by-step explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

\(\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}\)

The lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6 is 0.4361. This method of dividing the interval into subintervals and using the left endpoint as the sample point is known as the left Riemann sum.

To find the lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6, we need to divide the interval into six equal subintervals of length Δx=π/12. Then, we choose the left endpoint of each subinterval as our sample point and calculate the sum of the areas of the six rectangles formed. Thus, the lower sum is given by:

L = Δx [f(0) + f(π/12) + f(π/6) + f(π/4) + f(5π/12) + f(π/3)]

Substituting the values of the function, we get:

L = (π/12) [0 + 0.2588 + 0.5 + 0.7071 + 0.8660 + 0.9659]

L = 0.4361

Therefore, the lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6 is 0.4361.

To find the lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6, we divide the interval into six equal subintervals of length Δx=π/12. Then, we choose the left endpoint of each subinterval as our sample point and calculate the sum of the areas of the six rectangles formed. By substituting the values of the function, we get the lower sum as 0.4361.

The lower sum for f(x)=sin(x) over the interval [0,π/2] with n=6 is 0.4361. This method of dividing the interval into subintervals and using the left endpoint as the sample point is known as the left Riemann sum. This technique is useful for approximating the area under a curve and can be extended to find the upper sum and the definite integral.

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9514 1404 393

Answer:

  2335.515

Step-by-step explanation:

The first increase multiplies the original amount by 1 + 5% = 1.05.

The second increase multiplies the already increased amount by 1 + 18% = 1.18.

Then the final amount is ...

  1885(1.05)(1.18) = 2335.515

Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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At a significance level of 0.010, there is not enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average based on the given sample data.

To determine the evidence regarding the income of Delaware, which is more than the national average income of the residents of Wilmington.

State the hypotheses:

Null hypothesis (H₀): Residents of Wilmington, Delaware, have the same income as the national average.

Alternative hypothesis (H₁): Residents of Wilmington, Delaware, have more income than the national average.

Set the significance level:

The significance level (α) is given as 0.010.

Calculate the test statistic

We'll use a one-sample t-test to compare the sample mean to the population mean. To find test statistic use the formula given below

The value of t represents the standardized difference between the sample mean and the population mean. It is obtained by dividing the difference between the sample mean and the population mean by the standard error of the sample mean."

Here "t" is often used in statistics to represent the t-statistic, which is a measure used in hypothesis testing and confidence intervals.

In this case, the sample mean is $45,500, the population mean is $39,500, the sample standard deviation is $9,800, and the sample size is 16.

t = (45,500 - 39,500) / (9,800 / sqrt(16))

t = 6,000 / (9,800 / 4)

t ≈ 2.449

Since the alternative hypothesis is that the residents of Wilmington, Delaware, have more income, we'll perform a one-tailed test. With a significance level of 0.010 and 15 degrees of freedom (sample size - 1), the critical value is approximately 2.624.

If the calculated test statistic (2.449) is larger than the critical value (2.624), we can conclude that there is sufficient evidence to reject the null hypothesis.

In this case, the test statistic (2.449) is smaller than the critical value (2.624), so we fail to reject the null hypothesis.

Based on the available data and the conducted hypothesis test, we do not have sufficient evidence to support the conclusion that the residents of Wilmington, Delaware, have a higher income than the national average at a significance level of 0.010.

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Answer: $24000

Step-by-step explanation:

Depreciation for 2018 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation for 2019 = ($74,000 - $18000) / 7

= $56000/7

= $8000

Depreciation up to 2019 = $8000 + $8000 = $16000

Book value at end of 2019 = $74000 - $16000 = $58000

Revised residual value = $10,000

Number of remaining years = 4-2 = 2 years

Depreciation expensed for 2020 will be:

= ($58000 - $10,000) / 2

= $48000/2

= $24000

Answer:

-12x^2+15x

Step-by-step explanation:

-3x(4x-5)

Distributive property:

-3x*4x-(-3x)*5

-3*4x^2+3*5x

Simplify:

-12x^2+15x

The quantity of possible outcomes is known as probability.All events that could possibly occur.

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Answer:

1.AAS

2.ASA

AND THE OTHERS

Answer:

4cm

Step-by-step explanation:

24/6=4cm

The trigonometric rations of the sine functions are:

Sin α = opposite side / hypotenuse. Cos α = adjacent side / hypotenuse.

Tan α =  opposite side / adjacent side.

From the given figure, ∠P=90° and ∠R+∠Q=90°.

According to the Pythagoras's Theorem,

(PQ)² = √(50)² - (14)²

(PQ)² = 2500-196= 2304

PQ = √(2304)

PQ= 48 units

Blank 1: Sin Q = opposite side / hypotenuse

Sin Q = 14/50

Sin Q = 0.28

Blank 2: Cos Q = adjacent side / hypotenuse

Cos Q = 48/50

Cos Q = 0.96

Blank 3: Tan Q = opposite side / adjacent side

Tan Q = 14/48

Tan Q = 0.29

Blank 4: Sin R = opposite side / hypotenuse

Sin R = 48/50

Sin R = 0.96

Blank 5: Cos R = adjacent side / hypotenuse

Cos R = 14/50

Cos R = 0.28

Blank 6: Tan R = opposite side / adjacent side

Tan R = 48/14

Tan R = 3.42

Therefore, these are the trigonometric ratios that are given in the sum.

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Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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From the given equations, Equation 1 has exactly one solution, while Equation 2 has no solution.

Equations:

Equations means a mathematical statement that shows that two mathematical expressions are equal.

For example,

3x + 5 = 14

is an equation,

in which

3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given,

Equation 1: −2(7x+26)+4x=x−52

Equation 2: −2(7x+26)+4x=−10x−52

Here we need to identify which statement describes the solutions to the equations.

To find that, we have to solve the equations,

Then we get,

the solution for Equation (1) is,

=> -2 (7x + 26) + 4x = x - 52

=> -14x - 52 + 4x = x - 52

=> -10x -52 = x - 52

=> 11x = 0

=> x = 0.

Therefore, here we have one solution.

Similarly, the solution for Equation (2) is,

=> −2(7x+26)+4x=−10x−52

=> -14x - 52 + 4x = -10x - 52

=> -10x - 52 = -10x -52

=> 0 = 0

So, there is no solution.

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The equation of the parabola that has its focus at (0, -2) and directrix at y = 4 is presented as follows;

\(y = 1 - \frac{ x² }{12}\)

The focus of the parabola, obtained from a similar question posted online is (0, -2)

The given directrix is y = 4

From the definition of the directrix, we have;

(x - 0)² + (y - (-2))² = (y - 4)²

Which gives;

x² + (y + 2)² = (y - 4)²

4•y = y² - 8•y + 16 - (x² + y² - 4)

12•y = 12 - x²

The equation of the parabola is therefore;

\(y = 1 - \frac{ x² }{12}\)

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Answer:

p(-2) = -11

p(0) = -3

p(5) = 17

Step-by-step explanation:

Think of p(x) as a y.  Just substitute the x values into the equation, and with some basic algebra, you should get your answer

p(-2) = -3 + (-8) = -11

p(0) = -3 + 0 = -3

p(5) = -3 + 20 = 17

The two triangles shows that an angle opposite the longest side of a triangle is the largest angle

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

The two triangles

From the triangles we have the largest angles to be

C = 117.3 and E = 93 degrees

The lennths opposite these sides aere

AB = 6 and DF = 11.94

These lengths are the longest segments on their respective triangles

This means that an angle opposite the longest side of a triangle is the largest angle

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Answer:

Missing side length = 45

Step-by-step explanation:

In this problem, we're trying to find the longest side, or hypotenuse, of the triangle. Luckily, there's a formula to find this!

The Pythagorean Theorem is a formula that allows us to find any of the three sides of a right triangle using the lengths of the other two sides.

The formula is, a² + b² = c², where a and b are the side lengths of the two sides that make the right angle and c is the length of the side across from the right angle, the hypotenuse.

To use the formula, we just have to plug in the lengths of the two sides we know and then solve for the third variable. When we're looking for the hypotenuse length, we'll plug in the values for a and b, then solve for c. The a and b values are completely interchangeable, so it won't matter which side length you plugin for which. You just have to make sure that c is going to be the hypotenuse length.

Let's go ahead and plug in our known values for the equation. We're given the two side lengths 27 and 36, which will be our a and b values. Remember, they're interchangeable!

27² + 36² = c²          Next, we can square the a and b numbers.

729 + 1296 = c²       Now add them together.

2025 = c²                 And finally, square root both sides of the equation.

\(\sqrt{2025}= \sqrt{c^2}\)

45 = c

So, the length of the hypotenuse for this triangle is 45. Now, you can use this formula to solve for any of the three sides of a right triangle when given the other two side lengths.

Answer:

x = 45

Step-by-step explanation:

Forming the equation,

→ (x)² = (36)² + (27)²

Now the value of x will be,

→ (x)² = (36)² + (27)²

→ x² = 1296 + 729

→ x² = 2025

→ x = √2025

→ [ x = 45 ]

Hence, the value of x is 45.

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Answer:

f(x) = -4x²

Step-by-step explanation:

f(x) = ax²

in (0,0), x = 0 and f(x) = 0 as x is the first item in the element and f(x) is the second

plug this into the equation template

0 = a(0)²

0 = 0

this is always true

In (3, -36), x = 3 and f(x) = -36

plug this into the equation template

-36 = a(3)²

-36 = 9a

divide both sides by 9 to get a

a  = -4

thus, our equation is f(x) = ax² = f(x) = -4x²

Answer:

Step-by-step explanation:

margin of error

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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The output y[n] is given by y[n] = (4/2) x[n] + (5/2) x[n-1] y[n]. By substituting the given values, we get output sequence of {1, 3, -19, 231, ...}.

We can use the difference equation relating the input x and the output y to solve for y[n]. Substituting n with (n-1) in the given equation, we get:

y[n-1] = (4/2) x[n] + (5/2) x[n-1] y[n]

Substituting n-1 with n and solving for y[n], we get:

y[n] = (4/2) x[n-1] + (5/2) x[n-2] y[n-1]

Substituting the given values of x and y and simplifying, we get:

y[n] = 16 - 10y[n-1] + 5y[n-2]

Using the initial conditions y[0] = 1 and y[1] = 3, we can recursively compute the output y[n] for any value of n. For example,

y[2] = 16 - 10(3) + 5(1) = -19

y[3] = 16 - 10(-19) + 5(3) = 231

Thus, the output sequence is {1, 3, -19, 231, ...}.

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Answer:

19 tables, f(19) = $280

1 table, f(1) = $33

Step-by-step explanation:

Let f(x) be the money Serenity makes each day, where x is the number of tables she serves.

Her saily income includes a fixed injcome of $20/day, plus $13/table in tips.

We can write f(x) = $20 + $13x

When x = 19, f(19) = $280

When x = 1, f(1) = $33