Brainliest + ten points to first correct answer! word problem

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

Answers

Answer 1

Answer:

The second company should get the contract.

Question

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway.

Reason

Based on the least expensive price per mile per year, the second company should get the contract. This is because the price per mile per year for the second company is lower than the price per mile per year for the first company.

The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires.

The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years.

The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years.

Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

Answer 2
The first company will charge $120,000 per mile for the resurfacing project, and will guarantee the work for 8 years. The second company will charge $150,000 per mile for the project, and will guarantee the work for 12 years.

To determine the price per mile per year for each company, we need to divide the total price by the number of years. For the first company, this would be $120,000 / 8 = $15,000 per mile per year. For the second company, it would be $150,000 / 12 = $12,500 per mile per year.

Based on these calculations, the second company offers the least expensive price per mile per year, at $12,500 per mile per year. Therefore, the project manager should choose the second company to receive the contract.

Related Questions

Assuming the shapes are similar, find the value of the variable. PLEASE HELP

Assuming the shapes are similar, find the value of the variable. PLEASE HELP

Answers

46534555 56677 gynhy

PLEASE HELP IM TRYING TO CATCH UP!!!!!!!!!!!!!!!!!!!!!!!!!!

PLEASE HELP IM TRYING TO CATCH UP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

hello guys images not coming

Step-by-step explanation:

please send the image clearly

Show transcribed data
Let X be the closed unit interval [0,1]. Consider the Euclidean metric space ([0,1],d) with distance function d(x,y)=∣x−y∣ for all x,y∈X. Specify for the following subsets of X whether they are convex as well as closed or/and open in this Euclidean topology: i. ∩ n∈N
(0, n
1
) ii. ∩ n∈N
(0,1+ n
1
) iii. ∩ n∈1
k
(0,1+ n
1
) for some k∈N iv. (0, n
1
) for some n∈N

Answers

if it includes some but not all of its limit points, it is not closed and not open.(i) ∩ n∈N(0, n1)Firstly, let's find the intersection of all the sets:  

∩ n∈N(0, n1)= {x∈X|∀n∈N, x∈(0,n1)}= {x∈X| 0

(i) ∩ n∈N(0, n1) is closed and not open and convex.

(ii) ∩ n∈N(0,1+ n1) is closed and not open and not convex.

(iii) ∩ n∈1k(0,1+ n1) for some k∈N is both closed and open and convex.

(iv) (0, n1) for some n∈N is open and not closed and convex.

Discussion:Let X be a set, and d be a distance function on X.

Then,

(X, d) is called a metric space if it fulfills the following conditions:∙For each x, y∈X, d(x, y)≥0, and d(x, y)=0 if and only if x=y.

For each x, y∈X, d(x, y)=d(y, x).∙For each x, y, z∈X, d(x, y)≤d(x, z)+d(z, y).Thus, let X=[0,1] with Euclidean metric d(x,y)=|x−y| for x,y∈X.

Then, the distance between two points on a line is calculated using the Euclidean distance. For example, the distance between 0 and 1 on [0, 1] is 1.

The distance between 1/2 and 3/4 on [0, 1] is 1/4.Convex: If two points lie within the same set, then a set is known to be convex.Closed and open:

If the set includes its limit points, the set is closed. If a set includes none of its limit points, it is open.

Therefore, if it includes some but not all of its limit points, it is not closed and not open.(i) ∩ n∈N(0, n1)Firstly, let's find the intersection of all the sets:  

∩ n∈N(0, n1)= {x∈X|∀n∈N, x∈(0,n1)}= {x∈X| 0

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please help me i need this really bad

please help me i need this really bad

Answers

The answer is 3
Multiply 6 by 3 to get the total amount of money for the books then minus the answer 18 which you get from 6 x 3 = 18
Then minus 18 from 21 to get $3
21 - 18 = 3

Answer:

It's 3!

Step-by-step explanation:

3 books times 6 dollars each = 18 dollars.

21 minus 18 dollars = 3.

2. (-70 Points] DETAILS HARMATHAP12 10.3.039.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The monthly demand function for a product sold by a monopoly is p = 2,096 - 1x2 dollars, and the average cost is C = 900 + 20x + x2 dollars. Production is limited to 1,000 units, and x is in hundreds of units. Find the revenue function, R(x). R(X) = Find the cost function, C(x). C(X) = Find the profit function, P(x). P(x) = (a) Find P'(x) P'(x) = Considering the limitations of production, find the quantity (in hundreds of units) that will give the maximum profit. hundred units (b) Find the maximum profit. (Round your answer to the nearest cent.)

Answers

The maximum profit is approximately $173,023.32. First, we need to find the revenue function, which is given by:

R(x) = xp(x)

where p(x) is the price function. We are given that:

p(x) = 2096 - x^2

Therefore, the revenue function is:

R(x) = x(2096 - x^2) = 2096x - x^3

Next, we need to find the cost function, which is given by:

C(x) = 900 + 20x + x^2

Finally, the profit function is given by:

P(x) = R(x) - C(x) = (2096x - x^3) - (900 + 20x + x^2) = -x^3 + 2076x - 900 - x^2

To find the maximum profit, we need to find the critical points of P(x), which occur when P'(x) = 0. We have:

P'(x) = -3x^2 + 2076 - 2x

Setting P'(x) = 0 and solving for x, we get:

-3x^2 + 2076 - 2x = 0

3x^2 - 2x + 2076 = 0

Using the quadratic formula, we get:

x = [-(-2) ± sqrt((-2)^2 - 4(3)(2076))]/(2(3)) ≈ 19.47, -35.94

Since production is limited to 1000 units, we can only consider the positive root, x ≈ 19.47. Therefore, the quantity that will give the maximum profit is 1947 hundred units.

To find the maximum profit, we evaluate P(x) at x = 19.47:

P(19.47) = -(19.47)^3 + 2076(19.47) - 900 - (19.47)^2 ≈ $173,023.32

Therefore, the maximum profit is approximately $173,023.32.

Note: It is important to check that this is indeed a maximum by verifying that the second derivative of P(x) is negative at x = 19.47. This is left as an exercise for the reader.

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Helpppppp pleaseeee eses

Helpppppp pleaseeee eses

Answers

Answer:

The hypotenuse is 7.62

Step-by-step explanation:

i just don't get what it means when it says "give answer as a decimal to 3 places"

If a=4, b=6, and c=2. what is ab?

Answers

Step-by-step explanation:

a=4

b=6

c=2

ab=?

now

ab=a*b

=4*6

=24

Answer:

ab is 24

Step-by-step explanation:

a=4, b=6                                                                                                                   ab is a times b                                                                                                          4 times 6 equals 24                                                                                                    4*6=24                                                                                                                     your answer will be 24

Sketch the graphs of each of the following functions showing all steps on the same set of axes. Help with c)

Sketch the graphs of each of the following functions showing all steps on the same set of axes. Help

Answers

The parent function g(x) = |x| has the following graph:

then, given the function f(x) = -3 |x-2| + 4, we have to make a stretch and a reflection, with a traslation of 2 units to the right and 4 units up, to get the following graph:

Sketch the graphs of each of the following functions showing all steps on the same set of axes. Help
Sketch the graphs of each of the following functions showing all steps on the same set of axes. Help

if 180 liters of fluid enter the kidneys each day, about how much fluid will be reabsorbed? 178 liters 100 liters 50 liters 2 liters

Answers

If 180 liters of fluid enter the kidneys each day, about 178 liters of fluid will be reabsorbed by the kidneys each day.

The kidneys play a crucial role in filtering and regulating fluid balance in the body. On average, approximately 180 liters of fluid enter the kidneys each day through the process of filtration. However, not all of this fluid is excreted as urine. The majority of it, around 99%, is reabsorbed back into the bloodstream.

The reabsorption process occurs in the renal tubules, where essential substances such as water, electrolytes, and nutrients are selectively transported back into the bloodstream while waste products and excess substances are removed for eventual excretion.

Therefore, out of the initial 180 liters that enter the kidneys, around 178 liters are reabsorbed, leaving only a small amount (approximately 2 liters) to be excreted as urine.

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16 Select the correct answer. An ounce of cheese can be estimated by: A. One hand cupped. B. The size of your fist. C. The size of the palm of your hand. D. The size of your thumb.

Answers

Answer:

D

Step-by-step explanation:

Select the correct answer. The graphs of two exponential functions, f and g, are shown on the coordinate plane below. A curve labeled lowercase g declines through (negative 2, 5), (negative 1, 0), (0, negative 2), (2, negative 3) and (4, negative 3). A curve labeled lowercase f declines through (negative 1, 3), (0, 1), (2, 0) and (4, 0). If g(x) = f(x) + k, what is the value of k.
-2
3
-3
2

Answers

when x = 0, a = -2, so we can substitute these values to get: of k is -5.

how to find the question ?

First, we need to find the equation of each function. The general equation of an exponential function is f(x) = a(b)ˣ, where "a" is the initial value and "b" is the base.

For function g, we can see that it declines through the given points, which means that its base is between 0 and 1. We also know that when x = -2, f(-2) = 5, so we can write:

5 = a(b)⁻²

Similarly, when x = -1, f(-1) = 0, so:

0 = a(b)⁻¹

Dividing the second equation by the first, we get:

0/5 = (a(b)⁻¹) / (a(b)⁻²)

0 = b

Therefore, the equation of g is:

g(x) = a(0)ˣ = a

Now, for function f, we can see that it also declines through the given points, so its base is also between 0 and 1. Using the same method as above, we can find that its equation is:

f(x) = 3(1/2)ˣ

Since we know that g(x) = f(x) + k, we can substitute the equations of g and f to get:

a = 3(1/2)ˣ+ k

We also know that when x = 0, a = -2, so we can substitute these values to get:

-2 = 3(1/2)⁰ + k

-2 = 3 + k

k = -5

Therefore, the value of k is -5.

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Select the correct answer. The graphs of two exponential functions, f and g, are shown on the coordinate

Which is the most reasonable prediction of the number of items purchased by someona who paid $35?

Answers

It is not possible to make a prediction about the number of items purchased by someone who paid $35 without more information.

What is addition?

Addition is a mathematical operation that combines two or more numbers to create a new, larger number. The result of an addition operation is called the sum. Addition is typically denoted by the plus sign (+), and the numbers being added are called addends. Addition is a basic arithmetic operation and is used extensively in mathematics. It is one of the four basic operations, along with subtraction, multiplication, and division. Addition is commutative, meaning that the order in which the addends are added does not affect the sum.

Here,

In order to make a reasonable prediction about the number of items purchased, we would need to know the cost of each item, any discounts or promotions applied, and any additional fees or taxes. Without this information, any prediction about the number of items purchased would be purely speculative.

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Write an equation of the line with the given points.
(0, 1), (1, -2)

Answers

Answer:

y = -3× + 1

use slope intercept formula and

m= y1 -y2/x1- x2 plug in the coordinates.

What is the measure of angle x?

What is the measure of angle x?

Answers

Answer:

\(67^{\circ}\)

Step-by-step explanation:

Angles that form a linear pair add to \(180^{\circ}\).

Answer:

Step-by-step explanation:

Since angles x and 113° all lie on a straight line,

x + 113° = 180°   (angles on a straight line add up to 180°)

therefore,  x = 180°-113°

x = 67°

The Engineer (FIDIC Red Book, 1999) has issued an instruction for additional works. The Contractor submits a proposal for the applicable rates to the Engineer and proceeds with the additional works, in the meantime discussions on the rates continue. These discussions take a long time and subsequently, the original rates proposed by the Contractor are agreed. By this time, the additional works are completed. The Engineer proceeds to certify on the basis of the agreed rates. On the basis of the agreed rates, the Engineer becomes aware that the resulting additional cost is beyond his limit of authority provided for in the Contract. He therefore proceeds to seek for the approval of the additional cost from the Employer copying his correspondence to the Contractor. The Employer declines to authorize the additional cost, citing unreasonably high rates used. Even after several exchanges of correspondence, the Employer is adamant to change his position. Meanwhile, the payment certificate with the additional cost lies with the Employer. What should the Engineer do?

Answers

The engineer must take immediate action to identify the cause of the dispute and find a solution acceptable to both parties. The Engineer must follow the terms of the contract carefully to avoid any potential confusion.  

As per the given case study, the Engineer (FIDIC Red Book, 1999) issued an instruction for additional works and the Contractor submitted a proposal for the applicable rates to the Engineer and proceeded with the additional works. Discussions on the rates took a long time and subsequently, the original rates proposed by the Contractor are agreed.

By this time, the additional works were completed. The Engineer proceeds to certify on the basis of the agreed rates. On the basis of the agreed rates, the Engineer becomes aware that the resulting additional cost is beyond his limit of authority provided for in the Contract.

Meanwhile, the payment certificate with the additional cost lies with the Employer. The Engineer in such a scenario should do the following: He must follow the dispute resolution process provided for in the contract. The Engineer is required to notify both parties in writing about the matter and continue to carry out the terms of the contract until a decision is made.

The Engineer is required to adhere to the law, the agreement, and the employer's instruction at all times.

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can someone help me find the slope of this line pleaseeee​

can someone help me find the slope of this line pleaseeee

Answers

3/4 is the slope!! good luck!!

help ill put the pics below

help ill put the pics below
help ill put the pics below
help ill put the pics below

Answers

Answer:

A

Step-by-step explanation:

Which of the following expressions is equivalent to 810 x 9?
O (800 x 9) + (10 x 9)
O (81 x 9) + (10 x 9)
O (600+ 310) x 9
O
814 x 5

Answers

Answer:

(800 x 9) + (10 x 9)

Step-by-step explanation:

Find out what 810 x 9 is:

810 x 9 = 7290

Then see which expression has the same answer. Personally I'd check all of them, but luckily the first expression is the correct one so you don't need to go through the rest (since it only asks for one correct expression):

(800 x 9) = 7200

(10 x 9) = 90

7200 + 90 = 7290

CAN YOU GUYS HELP ME I WILL GIVE BRAINLIEST

CAN YOU GUYS HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1 and 2 are corresponding angles, it's B because corresponding angles are always congruent.

In this little picture i drew up 1 and 2 are corresponding. meaning they're in the same places where the transversal crosses both parellel lines. the same goes for angles 3 and 4, 8 and 5, 7 and 6

Angles 3 and 6 are consecutive exterior angles, and those are supplementary, meaning that they add up to 180 degrees. 1 and 5 are the same way

Angles 2 and 8 are consecutive interior angles, and those are also supplementary. angles 7 and 4 are the same way.

Angles 7 and 2 and 8 and 4 you can see those are crossing on the inside, those are called alternate interior angles, and these angles are congruent to one another. meaning that 7 and 2 are congruent to one another, and 8 and 4 are also congruent, or equal to one another

Angles 3 and 5 and 1 and 6 are what as known as Alternate Exterior Angles. Those angles are on the outside part of the intersection and they are congruent if cut by a transversal. meaning that 3 and 5 are equal to one another and so is 1 and 6.

Hope this helped clear it up a bit more. Sorry if i just made you more confused

CAN YOU GUYS HELP ME I WILL GIVE BRAINLIEST

Angle 3 and 6 are what kind of angles

Angle 3 and 6 are what kind of angles

Answers

Answer:

Acute

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

if the angle is less than 90 degrees, it is acute. if the angle is larger than 90 degrees, it is obtuse. if an angle is exactly 90 degrees it is a right angle. angles 3 and 6 are smaller than 90 degrees so they are acute

COLOR THEME
QQ ZOOM
5. Ms. Smith and Ms. Arceneaux are making tablecloths for their classrooms. They need
3
1
2-yards of material for each of the 2 smaller tables and 5 yards for each of the 2
4
2
larger tables. How much material did they need for the 4 tables?

Answers

Answer:

thanks for the points

Step-by-step explanation:

thanks once again

If f and f ◦ g are onto, does it follow that g is onto? justify your answer

Answers

The functions f, g and f ◦ g are illustrations of relations and functions

If f and f ◦ g are onto, it does not necessarily follow that g is onto

How to complete the statement?

The onto functions are given as:

Function fFunction f  ◦ g

Consider the functions f and g.

The function f is an onto function, if for every element of function f, there is at least one matching element  with function g.

The above definition implies that the following definition is not a condition for the two functions to be an onto function

If for every element of function g, there is at least one matching element  with function f.

Hence, it does not necessarily follow that function g is onto

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Simplify. 4(w-5)-6w please help ASAP

Answers

Answer:

-2w-20

Step-by-step explanation:

distribute => 4w-20-6w = -2w-20

Answer:

-2w - 20

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

4(w - 5) - 6w

Step 2: Simplify

Distribute 4:                    4w - 20 - 6wCombine like terms:       -2w - 20

6x^3 -x^2-10x-3 by 2x-3

Answers

Answer:

Quotient : 3x² + 5x + 1

Step-by-step explanation:

Twice the sum of a number and 7 is more than 6 or at most -3. Which compound inequality can represent this relationship?
DA 2(x + 7) > 6 and 2(x + 7) = 3
OB 2(x+7) < 6 or 2(x + 7) 2-3
C 2(x+ 7) < 6 and 2(x + 7) 2-3
D. 2(x + 7) > 6 or 2(x + 7) = -3

Answers

The compound inequality that represent the situation is 2(x + 7) > 6 and 2(x + 7) ≤ -3.

How to find compound inequality?

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Compound inequality is an inequality that combines two simple inequalities.

Therefore, let's represent twice the sum of a number and 7 is more than 6 or at most -3 with compound inequality as follows:

Therefore,

2(x + 7) > 6 and 2(x + 7) ≤ -3

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Arrange 0.1, 0.25, 0.15, 0.5 in ascending order​

Answers

Answer:

0.1, 0.15, 0.25, 0.5

Step-by-step explanation:

0.1, 0.15, 0.25 ,0.5

Please mark brainliest :) have a nice day

PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#12-#15 THANK UU(:

PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER

Answers

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

What is inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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a club puts its members into 5 groups for an activity. after 7 students have to leave early there are only 3 students left tot finish the activity. how many students were in each group

Answers

Answer:

2

Step-by-step explanation:

10 divided by 5

Question 2 (Multiple Choice Worth 1 points)
(02.04 LC)
What is the equation of a line that contains the points (0,8) and (8,8)?
Oy=0
Ox=0
Ox=8
Oy=8
Question 3 (Multiple Choice Worth 1 points)
(02.04 MC)
Choose the equation that represents a line that passes through points (-6, 4) and (2,0),
Previous Question

Answers

Answer:

y = 8

Step-by-step explanation:

The line that contains points (0, 8) and (8, 8) is a horizontal line in which every point has 8 as its y-coordinate.

Equation: y = 8

y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

the equation of a line that contains the points (0,8) and (8,8)

Slope=0

We need to find the y intercept

8=b

y=8 is the equation of a line that contains the points (0,8) and (8,8)

Now let us find the equation that represents a line that passes through points (-6, 4) and (2,0).

m=0-4/2+6

=-1/2

Now find the y intercept

0=2(-1/2)+b

b=1

y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0),

Hence, y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)

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3^x+2 + 3^x+1 = 4/3 solve​

Answers

\( {3}^{x + 2} + 3 ^{x + 1} = \frac{4}{3} \\ = > {3}^{x} \times {3}^{2} + {3}^{x} \times 3 = \frac{4}{3} \\ = > {3}^{x} \times 9 + {3}^{x} \times 3 = \frac{4}{3} \\ = > {3}^{x} (9 + 3) = \frac{4}{3} \\ = > {3}^{x} \times 12 = \frac{4}{3} \\ = > {3}^{x} = \frac{4}{3} \times \frac{1}{12} \\ = > {3}^{x} = \frac{1}{3 \times 3} \\ = > {3}^{x} = {3}^{ - 2} \\ = > x = - 2\)

Answer:

x = -2

Hope you could understand.

If you have any query, feel free to ask.

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Joining a sports team or student government is a great way to build up self-confidence and self-esteem. What are some other ways to do this that you can think of?ANSWER QUICKLY What are two characteristics of health systems in transitionalcountries?What are two characteristics of health systems in poorcountries? which greenhouse gas listed here has the longest atmospheric lifetime? carbon dioxide methane nitrous oxide all greenhouse gases have approximately the same atmospheric lifetimes The Italian wars that began in 1494 helped spread Renaissance ideas toPortugal.Spain.England.France. If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116. a double-stranded piece of dna that has completed homologous recombination may contain a region that c When can a person be arrested for a DWI?A. When they are driving a car while intoxicated.B. When operating a boat while intoxicated.C. When operating a Train while intoxicated.D. A, B & C. Find the slope of each line what does m equal? if the equations 2x +y =7 and x-y=2are solved simultaneously, then y=_________ Find a power series representation for the function and determine the radius of convergence. f(x)= x/ (2x2+1). please help filling in the blank for me this is due asap in his david, how does michelangelo break away from the self-containment of earlier standing statues? zachary invests $400 into an account that earns 3.5% simple interest for 5 years. he does not make any other deposits or withdrawals. at the end of 5 years, zachary invests the entire account balance into a different account that earns 5% simple interest. he leaves the money in the account for 2 years without making any additional deposits or withdrawals. what is the new account balance at the end of 2 years? drag and drop values into the boxes to correctly complete the statements. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse. zachary invests $response area into the account that earns 5% simple interest. at the end of 2 years, the account balance is $response area. How long is a bench? Select the best estimate.4 centimeters4 milllimeters4 kilometers4 meters Have you ever been on or seen a ride like this at a fair or amusement park? Imagine being strapped into your seat at the bottom of this 350-foot tower, with your feet dangling just above the ground. You make the trip up the tower at a steady rate of 20 feet per second, stop at the top of the tower to hang for a few seconds, then suddenly drop in a free fall for 288 feet!The trip up the tower is a linear relationship. The height of the riders, h, is equal to the constant rate multiplied by the time, t, since they began the trip up.The free fall down the tower is a quadratic relationship. The distance from the top to the bottom of the free fall, d, is modeled by this equation, where t is the time since the free fall began and is the initial distance above the bottom of the free fall.Write an equation representing each relationship.Enter the correct answer in the box. HELPPPPP WILL MARK BRAINLEST Use the following information and diagram to answer the question.Given: Quadrilateral ABDC has vertices at A(2,6), B(6,8), C(1,2), and D(5,4).Prove: Quadrilateral ABDC is a parallelogram.Which plan for a proof for this problem will show that quadrilateral ABDC is a parallelogram?1.Use the midpoint formula to find the midpoint of AB and CD. Show that the midpoint of these two sides has the same x-coordinate. Then, show that the midpoint of BD and AC has the same y-coordinate. Thus, the quadrilateral is a parallelogram.2.Use the midpoint formula to find the midpoint of AD and BC. Show that the midpoint for both segments is the same. Since the diagonals of a quadrilateral intersect each other, then the quadrilateral is a parallelogram.Use the midpoint formula to find the midpoint of line segment cap A cap d and Show that the midpoint for both segments is the same. Since the diagonals of a quadrilateral intersect each other, then the quadrilateral is a parallelogram.3.Use the midpoint formula to find the midpoint of line segment cap A cap d and Show that the midpoint for both segments is the same. By the definition of midpoint and bisect, line segment cap A cap d and line segment cap b cap c bisect each other. Since the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.4.Use the midpoint formula to find the midpoint of AB and CD. Show that the midpoint for both segments is the same. Since opposite sides of a quadrilateral have the same midpoint, then the quadrilateral is a parallelogram. The road adjacent to badminton court at CentralUniversity, Lucknow, needed repair. So, the universityauthorities hired Parikh to do the job. Parikh selected acertain number of workers and assured the universitythat work will be done in 10 days. Unfortunately, 4workers were absent from the beginning and the tasktook 50 days to complete. Can you tell us how manyworkers Parikh hired initially. What is the periodic table of elements When the quadratic formula is applied to 2x^2 + 3x - 4 = 0, determine the numerator of thesimplified answer. 1.7State any TWO rights of women and children in relationships.