an architect drew plans for a new bridge that is 425 meters long. if his plans to show the bridge as 50 centimeters, what scale did she use

Using long division, the quotient of the given expression is A.

Given is a polynomial division.

We have to find the quotient using long division.

Numerator is 3x⁴ - 2x³ + 0x² - x - 4 which is divided by x² + 2.

When both are divided, as normal division,

3x⁴ = 3x² × x²

So the first term of the quotient is 3x².

3x² (x² + 2) = 3x⁴ + 6x²    

Remainder is,                      

3x⁴ - 2x³ + 0x² - x - 4 - (3x⁴ + 0x³ + 6x²) = -2x³ - 6x² - x - 4

Now, -2x³ = -2x (x²)

So the second term of the quotient is -2x.

-2x (x² + 2) = -2x³ - 4x

Remainder is,

-2x³ - 6x² - x - 4 - (-2x³ - 4x) = -6x² + 3x - 4

Now, -6x² = -6 (x²)

So the third term of the quotient is -6.

-6 (x² + 2) = -6x² - 12

Remainder is,

-6x² + 3x - 4 - (-6x² - 12) = 3x + 8

So,

Dividend = (Quotient)(divisor) + Remainder

3x⁴ - 2x³ - x - 4 = (3x² - 2x - 6)(x² + 2) + (3x + 8)

(3x⁴ - 2x³ - x - 4) / (x² + 2) = (3x² - 2x - 6) + [(3x + 8) / (x² + 2)]

Hence the correct option is A.

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Propositional Logic to prove the validity of the arguments

13. (A∨B′)′∧(B→C)→(A′∧C) Solution: Given statement is (A∨B′)′∧(B→C)→(A′∧C)Let's solve the given expression using the propositional logic statements as shown below: (A∨B′)′ is equivalent to A′∧B(B→C) is equivalent to B′∨CA′∧B∧(B′∨C) is equivalent to A′∧B∧B′∨CA′∧B∧C∨(A′∧B∧B′) is equivalent to A′∧B∧C∨(A′∧B)

Distributive property A′∧(B∧C∨A′)∧B is equivalent to A′∧(B∧C∨A′)∧B Commutative property A′∧(A′∨B∧C)∧B is equivalent to A′∧(A′∨C∧B)∧B Distributive property A′∧B∧(A′∨C) is equivalent to (A′∧B)∧(A′∨C)Therefore, the given argument is valid.

14. A′∧∧(B→A)→B′ Solution: Given statement is A′∧(B→A)→B′Let's solve the given expression using the propositional logic statements as shown below: A′∧(B→A) is equivalent to A′∧(B′∨A) is equivalent to A′∧B′ Therefore, B′ is equivalent to B′∴ Given argument is valid.

15. (A→B)∧[A→(B→C)]→(A→C) Solution: Given statement is (A→B)∧[A→(B→C)]→(A→C)Let's solve the given expression using the propositional logic statements as shown below :A→B is equivalent to B′→A′A→(B→C) is equivalent to A′∨B′∨C(A→B)∧(A′∨B′∨C)→(A′∨C) is equivalent to B′∨C∨(A′∨C)

Distributive property A′∨B′∨C∨B′∨C∨A′ is equivalent to A′∨B′∨C Therefore, the given argument is valid.

16. [(C→D)→C]→[(C→D)→D] Solution: Given statement is [(C→D)→C]→[(C→D)→D]Let's solve the given expression using the propositional logic statements as shown below: C→D is equivalent to D′∨CC→D is equivalent to C′∨DC′∨D∨C′ is equivalent to C′∨D∴ The given argument is valid.

17. A′∧(A∨B)→B Solution: Given statement is A′∧(A∨B)→B Let's solve the given expression using the propositional logic statements as shown below: A′∧(A∨B) is equivalent to A′∧BA′∧B→B′ is equivalent to A′∨B′ Therefore, the given argument is valid.

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Answer:

x=4

Step-by-step explanation:

this should be the answer hope it helps

Answer:

no

Step-by-step explanation:

beacuse this asnwer has no solution

Answer:10/5

Step-by-step explanation:

The slope of the straight line connecting the break's ends to the function's diagram.

For 0 < x < 4 will be -60

For 4 < x < 8 will be -31

The mathematical formula f (x) = \($$a^{x\) denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.

When a positive constant other than 1 is raised to a variable exponent, the function is said to be exponential. Solving at a certain input value yields the evaluation of a function. If you know the growth rate and the starting point, you can find an exponential model.

We have to use the knowledge of functions to describe the average rates of each one of them, so:

For 0 < x < 4 will be -60

For 4 < x < 8 will be -31

It is a measurement of how much the function changed for one person on average throughout that interval. It results from the slope of the straight line connecting the break's ends to the function's diagram.

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Answer: the answer is

Step-by-step explanation:

Answer:

70.13

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

\(Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}\)

The net force acting on the automobile is 3600N

The acceleration of an object is directly proportional to the net force acting on it.  

The acceleration of an object also depends upon its mass.  

Acceleration (a) = net force (F) / mass (m)

a = F / m

Given that; a = 3 m/s², m = 1200 kg, hence:

3 = F / 1200

F = 3600N

The net force acting on the automobile is 3600N

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Answer:

60

Step-by-step explanation:

To find the range you subtract the highest and lowest value

The highest value on this graph is 105 from the month of May and the lowest value is 45 from the month of March.

When you do 105-45 you get 60 which is the range

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Area:

Approximately 211.24 square feet

Explanation:

Im going to assume you are asking for the surface area of a sphere with a diameter of 8.2ft. The equation to find this is: \(A = 4\pi r^2\)

Firstly, we need to convert the diameter to the radius. The diameter is always twice the length of the radius, so the radius must be 4.1ft

Plug this value in:

\(A = 4\pi (4.1)^2\\A = 4\pi(16.81)\\A = 211.24\)

The value of 4 fifths and 5 tenths on number line is 13/10.

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

Given;

4 fifths and 5 tenths

Now,

=4/5+5/10

=4/5+1/2

=8+5/10

=13/10

Therefore, by number line addition the answer will be 13/10.

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1 )  The location of a specific piece of real estate may be determined with accuracy using a legal description of the property. This often employs a combination of alphabetical abbreviations and numbers to find the land and is based on current township grids.

The legal description is a completely unique identification for properties, unlike a property address. It must close, which means the lines describing the start and conclusion must finally come together, in order to be legitimate. 

2 ) Metes are a segment of the property line that are established by calculating the separation between two places. It may also establish the orientation of the property plot.

The boundary of a property is referred to as its bounds. Bounds are frequently used to outline larger-scale features.

3 ) A surveying technique called the Public Land Survey System (PLSS) is used to divide real estate into specific plots. It is furthermore frequently called the Rectangular Survey System.

4) A site plan, also known as a plot plan, is a form of drawing used by architects, landscape architects, urban planners, and engineers to represent the current and desired conditions for a specific area, usually a parcel of land that is to be altered.

A land survey plan is a specific map of a piece of land that is made after carefully inspecting and measuring the area. It establishes and defines the positions of boundaries, buildings, physical features, and other important spatial elements.

A plat plan is a scaled-down cadastral map that depicts the divisions of a plot of land.

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Answer:

Step-by-step explanation:

A way for one of the toddler triplets to end up with their coat is if the other two toddler triplets each get one another coat.

making it a 33% chance of one of the toddler triplets to end up with their own coat.

100% divided by 3 = 0.33

There is exactly a 33% chance for one of the toddler triplets to end up with their coat.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of coat = 3

Red, green, and blue.

Now,

Each of them picks up a coat at random and goes out.

The chance of each of them getting their own coat.

= 1/3 x 100

= 33%

Thus,

There is a 33% chance that one of the toddler triplets ends up with their coat.

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Answer:

Length = ( x - 1 ) ( m)

Step-by-step explanation:

Area of rectangle is:

A(r) = l*w ( in m² )    where l is the length in m   and w is the width in m

If we have:  A(r)  =  x² - 6*x  - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:

x²  - 6*x  -  7  =  ( x  - 1 ) * ( x - 7 ) = area of the rectangle in m²

As problem statement establishes that ( x - 7 ) ( m)  is the width, then

( x - 1 ) ( m) is the length

a. The function rule for f^−1 is: \(f^{-1} (y) = (y + 16)/6\)

b. The function rule for g^−1 is: \(g^{-1} (v) = (v - 30)/2\)

What is integral function?

A continuous counterpart of a sum, an integral is used to compute areas, volumes, and their generalizations. The method of computing an integral, known as integration, is one of calculus's two fundamental operations, the other being differentiation.

a. To find the function rule for \(f^{-1}\) we need to solve for x in terms of y using the given equation:

y = 6x - 16

First, we can add 16 to both sides of the equation:

y + 16 = 6x

Then, we can divide both sides by 6 to isolate x:

x = (y + 16)/6

Therefore, the function rule for f^−1 is:

\(f^{-1} (y) = (y + 16)/6\)

b. To find the function rule for \(g^{-1}\), we need to solve for u in terms of v using the given equation:

v = (2u + 85/5) + 13

First, we can simplify the expression in parentheses by multiplying 85/5:

v = (2u + 17) + 13

Then, we can subtract 13 from both sides of the equation:

v - 13 = 2u + 17

Next, we can subtract 17 from both sides:

v - 30 = 2u

Finally, we can divide both sides by 2 to isolate u:

u = (v - 30)/2

Therefore, the function rule for g^−1 is:

\(g^{-1} (v) = (v - 30)/2\)

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The value of the expression is 55.

Step 1: Simplifying the innermost parentheses

Inside the innermost parentheses, we have the expression (6 - 9 ÷ 3). We need to divide 9 by 3 first, which gives us 3. Now we can subtract 3 from 6, resulting in (6 - 3) = 3. Therefore, the expression becomes 83 - [29 - {6 ÷ 3 - 3 ÷ 3}].

Step 2: Simplifying the division inside the curly braces

Within the curly braces, we have the expression 6 ÷ 3. Dividing 6 by 3 gives us 2. Substituting this value back into the expression, we have 83 - [29 - {2 - 3 ÷ 3}].

Step 3: Simplifying the division inside the curly braces (again)

Inside the curly braces, we have 3 ÷ 3. Dividing 3 by 3 gives us 1. Substituting this value back into the expression, we have 83 - [29 - {2 - 1}].

Step 4: Simplifying the subtraction inside the curly braces

Within the curly braces, we have the expression 2 - 1, which equals 1. Substituting this value back into the expression, we have 83 - [29 - 1].

Step 5: Simplifying the subtraction inside the square brackets

Inside the square brackets, we have 29 - 1, which gives us 28. Substituting this value back into the expression, we have 83 - 28.

Step 6: Performing the subtraction

Finally, we subtract 28 from 83, resulting in 55.

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Answer:1683

Step-by-step explanation:33 ft x 51 ft = 1683

First, we need to find the total number of parts in the ratio 1:4:5:

1 + 4 + 5 = 10

This means that the string is divided into 10 equal parts. To find the length of each part, we divide the total length of the string by the number of parts:

80 cm ÷ 10 = 8 cm

Now, we can find the length of the longest piece, which is 5 times the size of each part:

8 cm x 5 = 40 cm

Therefore, the length of the longest piece is 40 cm.

Answer:

The answer is 3 1/3

The value of the expression  −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.

It is defined as the combination of constants and variables with mathematical operators.

It is given that,

The expression is:

= −t/u+vw

The values of t = 2, u=−2/3 , v=−1 , and w=−1/3

After pluggin the values of t, u, v, and w in the above expression we get:

= -2/(-2/3) + (-1)(-1/3)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

= 3 + 1/3

= 3 1/3 (in mixed fraction)

Thus, the value of the expression  −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.

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3 1/3

Answer:

p=24

Step-by-step explanation:

p=2(7)+2(5)

p=14+10

pp=24

Given:

The equation is:

\(y=\sqrt[3]{x}\)

To find:

The graph of the given equation.

Solution:

We have,

\(y=\sqrt[3]{x}\)

The table of values is:

x                 y

-8              -2

-1                -1

0               0

1                 1

8                8

Plot these points on a coordinate plane and connect them by a free hand curve as shown in the below graph.

Answer:

D

Step-by-step explanation:

edge 2020

A, b and c can do a piece of work in 24, 30 and 40 days respectively. the work is completed in 13 days.

Let's calculate the work done by each person per day:

A completes 1/24 of the work per day.

B completes 1/30 of the work per day.

C completes 1/40 of the work per day.

Let's assume the total work is represented by "W".

When all three, A, B, and C, work together, their combined work rate per day is:

1/24 + 1/30 + 1/40 = (5 + 4 + 3) / 120 = 12/120 = 1/10

This means that when all three work together, they complete 1/10 of the total work per day.

Now, let's calculate the number of days it takes for them to complete the work. Let's represent this number of days by "D".

Since C leaves 4 days before the completion of the work, the remaining work is 1 - 1/10 = 9/10.

We can set up the equation:

(D - 4) * (1/10) = 9/10

Simplifying the equation:

D - 4 = 9

D = 9 + 4

D = 13

Therefore, the work is completed in 13 days.

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it’s 350 or B. hope this helps! :)

Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs.

To find the break-even point, we need to determine the number of purses that Shirabi needs to sell in order to cover her costs and not incur any loss. The equation representing her break-even point is given as:

208 + 10x

Here, 208 represents the cost of the sewing machine, and 10x represents the total cost of thread, fabric, and accessories for each purse, multiplied by the number of purses sold.

To find the break-even point, we need to set the equation equal to zero:

208 + 10x = 0

Now, let's solve for x:

10x = -208

x = -208/10

x = -20.8

Since the number of purses sold cannot be negative, we can disregard the negative solution. Therefore, Shirabi's break-even point is when she sells 20 purses.

Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs. Selling fewer than 20 purses would result in a loss, while selling more than 20 purses would generate a profit.

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