when two pipes fill a pool together, they can finish in 4 hours. if one pipe fills half of the pool and then the other takes over and finishes filling the pool, the pool will fill in 9 hours. how long would it take each pipe to fill the pool if it were working alone?

Answers

Answer 1

Time taken by pipe 1 to fill the pool is 6 and by pipe 2 is 12.

Here we have to find the time taken by each pipe to fill the pool.

Formula to find the work:

w = r × t

where

w =  is the work done

r = is the rate of work done

t =  is the time taken to do the work

For pipe 1 working alone to fill 1 pool, the work done is 1

w1 = r1 t1

1 = r1 × t1

t1 = 1/r1

For pipe 2 working alone to fill 1 pool, the work done is 1;

w2 = r2 t2

1 = r2 × t2

t2 = 1/r2

From the question, it would take 9 hours if each pipe took turns filling half the pool. That is;

t1/2 + t2/2 = 9

t1 + t2 = 18

However, if both pipes worked together, it would take 4 hours for each pipe. That is;

w1 + w2 = w

r1t1 + r2t2 = 1

4r1 + 4r2 = 1

r1 + r2 = 1/4

As we know from the above:

r1 = 1/t1 and r2 = 1/t2

So;

1/t1 + 1/t2 = 1/4

(t2 + t1)/ t1 t2 = 1/4

t1 + t2 = 18

So

t1 t2 = 72

The only factors of 72 that satisfy the conditions

t1 + t2 = 18

t1 . t2 = 72

are 6 and 12.

Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours.

To know more about the pipe and cistern refer to the link given below:

https://brainly.com/question/1800429

#SPJ4


Related Questions

-16 > -4y solve for the inequality of y and simplify your answer as much as possible

Answers

The given inequality solved for y is y > 4

Solving linear inequalities

From the question, we are to solve the given linear inequality.

To solve an inequality, we will solve for the variable in the inequality.

The given inequality is

-16 > -4y

The variable in the inequality is y.

Now, we will solve for y

-16 > -4y

Divide both sides by -4

-16/-4 > -4y/-4

4 < y

Thus,
y > 4

Hence, the solution is y > 4

Learn more on Solving linear inequalities here: https://brainly.com/question/25275758

#SPJ1

what is the difference between shallow foundations and deep foundations? where would you recommend the use of deep foundations? explain.

Answers

Deep foundations are recommended for larger or hillside developments , or those on poor soil .

Foundation Systems in Building

There are two classifications of foundations in building shallow foundations and deep foundations . These categories refer to the depth of soil in which the foundation is formed .

Shallow Foundations : Shallow foundations are usually located less than six feet below the lowest finished floor of a structure.

Deep Foundations : Deep foundations are structural elements that are used to transfer loads from weak and compressible soils to a stronger layer, usually located at a significant depth below the ground.

Recommendation

A shallow foundation can be constructed in as little as a one-foot depth , whereas a deep foundation is formed at a depth of 10 - 300 feet . Deep foundations are recommended for larger or hillside developments , or those on poor soil .

To learn more on foundations follow link :

https://brainly.com/question/28723911

#SPJ4

Answer:

Step-by-step explanation: A shallow foundation distributes loads from the building into the upper layers of the ground.

Shallow foundations perform very well on sites with strong soils, sufficiently thick natural gravel rafts overlying weaker soils or where robust, engineered ground improvement is carried out.

Deep foundations can provide a good foundation for houses on sites with poor soil conditions near the surface,

2. Communicate and Justify Why is the algebraic
expression x, equivalent to x ¹?

Answers

Expression x is equivalent to [tex]x^{1}[/tex] by using the exponent rule.

What do you mean by algebraic expression?

A mathematical expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

There are three primary categories of algebraic expressions, including:

Monomial expression

Binomial expression

Polynomial expression

An algebraic expression can be divided into two additional types in addition to the monomial, binomial, and polynomial types. These are:

Numeric Expression

Variable Expression

Numeric expression - A numeric expression consists of numbers and operations, but never include any variable.

Variable expression - A variable expression is an expression that contains variables along with numbers and operation to define an expression.

As we know, exponent form [tex]x^{n}[/tex] can be simplified as [tex]x \times x\times x\times ........n~ times[/tex]

In this way ,  [tex]x^{1}[/tex]can be written as x multiplied by 1 time which is equal to x

Therefore, expression x is equivalent to [tex]x^{1}[/tex].

To learn more about the algebraic expression from the given link.

https://brainly.com/question/4344214

#SPJ1

What is 5.2E11 in standard form

Answers

The standard form of 5.2E11 using the set scientific notation and rules is 311345.5369.

What is a standard form in mathematics?

The standards for putting mathematical elements in standard form make it easier for anyone to read, write, and interact with them. The standard form is the most popular approach to representing a mathematical element.

In mathematics, the standard form is the most prevalent way of describing a specific element. Every element in arithmetic is represented in a standard form, from enormous numbers to little integers, or equations to lines.

A standard form is a method of writing a particular mathematical notion, such as an equation, or expression, in a way that adheres to specified criteria. The standard form is used to portray very big or very small numbers in a succinct manner.

The standard form of 5.2E11 using the set scientific notation and rules is:

311345.5369.

Learn more about writing exponents in the standard form here:

https://brainly.com/question/19682432

#SPJ1

Using technology, calculate the weighted mean of the rors for each portfolio. based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst? portfolio 3, portfolio 1, portfolio 2 portfolio 2, portfolio 3, portfolio 1 portfolio 1, portfolio 2, portfolio 3 portfolio 3, portfolio 2, portfolio 1

Answers

Option B is the correct choice.

Based on the findings, the following list compares the portfolios' overall performances, ranking them from best to worst:

Portfolios 2, 3, and 1, respectively.

The weighted average ROR is calculated by adding the rates of return on the portfolio's assets and the percentage of the portfolio that is invested in each investment.

For Portfolio 1:

Total Investment= $700 + $2575 + $220 + $1000 + $1430 = $5925

Therefore, total investment = $5,925

Weighted Average ROR= (-3.8% * $700) / $5925 + (2.1% * $2575) / $5925 + (11.3% * $220) / $5925 + (5.8% * $1000) / $5925 + (1.6% * $1430) / $5925

WAROR = (-0.0045) + 0.0091 + 0.0042 + 0.0098 + 0.0039 = 0.0225

Therefore, the Weighted Average ROR= 2.25% (third)

For Portfolio 2:

Total Investment = $1250 + $1700 + $1515 + $1345 + $1,675 = $7485

Therefore, Total Investment = $7,485

Weighted Average ROR = (-3.8% * $1250) / $7485 + (2.1% * $1700) / $7485 + (11.3% * $1515) / $7485 + (5.8% * $1345) / $7485 + (1.6% * $1,675) / $7485

= (-0.0063) + 0.0048 + 0.0229 + 0.0104 + 0.0036 = 0.0354

Therefore, the Weighted Average ROR = 3.54% (first)

For Portfolio 3:

Total Investment = $1025 + $500 + $790 + $250 + $2500 = $5065

Therefore, Total Investment = $5,065

Weighted Average ROR = (-3.8% * $1025) / $5065 + (2.1% * $500) / $5065 + (11.3% * $790) / $5065 + (5.8% * $250) / $5065 + (1.6% * $2,500) / $5065

= (-0.0077) + 0.0021 + 0.0176 + 0.0029 + 0.0079 = 0.0228

Therefore, Weighted Average ROR = 2.28% (second)

Therefore, the correct order of portfolios based on the performance from best to worst will be:

Portfolio 2, Portfolio 3, and Portfolio 1. (Option B)

To know more about weighted average ROR refer to this link:

brainly.com/question/9816365

#SPJ4

COMPLETE QUESTION:

ROR Portfolio 1 Portfolio 2 Portfolio 3 −3.8% $700 $1,250 $1,025 2.1% $2,575 $1,700 $500 11.3% $220 $1,515 $790 5.8% $1,000 $1,345 $250 1.6% $1,430 $1,675 $2,500 Using technology, calculate the weighted average of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?

A) Portfolio 1, Portfolio 3, Portfolio 2

B) Portfolio 2, Portfolio 3, Portfolio 1

C) Portfolio 1, Portfolio 2, Portfolio 3

D) Portfolio 3, Portfolio 2, Portfolio 1

write this equation of a line in point slope form: slope 1/2; (3, -1)

Answers

Answer:

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

Step-by-step explanation:

Point-slope form of an equation is a shortcut, fill-in-the-blank way to write the equation of a line. All you need is slope (usually symbolized with an m) and a point (any point on the line)

Here's Point-slope:

y - Y = m (x - X)

The slope they gave you is 1/2, put that in for the m.

And also fill in 3 for the X and -1 for the Y. Because a point is (X,Y)

Just leave the first y as a y, right there. And leave the first x in the parentheses as an x. They are variables in the equation. They stay letters.

y - -1 = 1/2 (x - 3)

Simplify.

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

Minus a negative is the same as plus a positive, that's what happened there on the left. Also, when you write it, make sure the 1/2 is beside the parentheses on the right. The parentheses should not be on the bottom with the 2, but just beside the fraction.

23. Amy says, "To find 50 x 20, I multiply 5 x 2 and then place the total number of zeros in both factors at the end." Do you agree? Explain.​

Answers

That is one way to find out the answer

Yes, I do agree 50*20=1000 as well as doing 5*2 and then including both zeros

Two parallel lines are cut by a transversal as shown below.
Suppose m2 = 46°. Find m5 and m 27.

Answers

Angle 5 and 7 = 132 degrees

What is the area of the figure at the right?

Answers

The area of the figure is 21. 25 m². Option D

How to determine the area

It is important to note that the figure is a kite.

The formula for calculating the area of a kite is expressed as;

A= pq/2

Where;

A is the area of the kitep is the diagonal of the kiteq is the diagonal of the kite

Using tangent identity

tan 45 = x/ 2. 5

1(2. 5) = x

x = 2. 5

p = 2. 5 + 2. 5 = 5

q = 2. 5 + 6 = 8. 5

Now, substitute the values into the formula

Area = 5(8. 5)/ 2

Area = 42. 5/ 2

divide the values

Area = 21. 25 m²

Hence, the value is 21. 25m²

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

3n=1/9 Find the value of n.​
PLEASE HELP

Answers

Answer: n=1/27=0.037

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*n-(1/9)=0

Simplify 1/9

3n -  1/9  = 0

Rewrite the whole as a fraction using  9  as the denominator :

          3n     3n • 9

    3n =  ——  =  ——————

          1        9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3n • 9 - (1)     27n - 1

————————————  =  ———————

     9              9  

End of step 2  

27n - 1

 ———————  = 0

    9  

Start of step 3

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 27n-1

 ————— • 9 = 0 • 9

   9  

Now, on the left hand side, the  9  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  27n-1  = 0

Solving a Single Variable Equation:

3.2      Solve:    27n-1 = 0

Add  1  to both sides of the equation :

                     27n = 1

Divide both sides of the equation by 27:

                    n = 1/27 = 0.037

a rectangular field measures 90 meters by 162 meters. what will it cost to cover the field with pallets of grass each covering 90 squard yards and costing $213 per pallet

Answers

The cost of covering the field with grass pallets is $40996.58.

Given that the rectangular field measures 90 m and 162 m.

Hence, the area of the field is 90 X 162 m²

The grass pallets are sure in shape with an area covering 90 square yards.

1 m = 1.09 yards

Hence,

1 m² = 1.09² square yards

Hence,

90 X 162 m² = 90 X 162 X 1.09² square yards

Hence the number of pallets to be used is

(90 X 162 X 1.09²) / 90

= 162 X 1.09² pallets.

= 192.4722 pallets.

1 pallet costs $213

Hence,

192.4722 pallets cost

192.4722 X 213

= $40996.58

Therefore we get the cost of covering the field with grass is  $40996.58.

To learn more about Areas visit

https://brainly.com/question/14356835

#SPJ4

Another thing you will need to know before you can perform a rotation is

direction of rotation

corresponding angles

corresponding sides

the angle measures

Answers

Direction of rotation

find the quotient of 67.98÷28 round your answer to the hundredths place

Answers

Answer:

2.43

Step-by-step explanation:

The quotient is the answer to a division problem.

67.98/28 = ~2.42785714286

To round to the nearest hundredth, leave 2 decimal digits remaining. If the thousandth place (3rd decimal digit) is greater they or equal to 5, add 1 to the hundredths digits.

7 [tex]\geq[/tex] 5

2.42+0.01

2.43

a manufacturer knows that their items have a lengths that are skewed right, with a mean of 18.8 inches, and standard deviation of 6.2 inches. if 48 items are chosen at random, what is the probability that their mean length is greater than 20.1 inches?

Answers

The probability that their mean length is greater than 20.1 inches is 0.32.

Standard deviation:

The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

The given value are:

Mean = 18.8 inches

Standard deviation = 6.2 inches

We have to find the probability that their mean length is greater than 20.1 inches.

Variance of sample mean = 6.2 / 48

                                           = 0.13

S.D of sample mean=   [tex]\sqrt{0.13}[/tex]

                                 = 0.36

Z score for the length of 20.1 is ( 20.1 - 18.8) / 0.36 = 0.468

The p-value for 0.468 in the standard normal table is 0.32.

Therefore 0.32 chance of the sample means is greater than 20.1 inches.

To know more about the standard deviation refer to the link given below:

https://brainly.com/question/475676

#SPJ4

Find the slope on the line going through the points (36, -21) and (-14, -21)

Answers

Answer:

0

Step-by-step explanation:

[tex]m=\frac{-21-(-21)}{-14-36}[/tex]

Answer: slope = 0  

Step-by-step explanation:

slope = Δy ÷ Δx = (-21 - (-21)) / (-14 -36) = 0 / -5 = 0

It's a horizontal line

Which inequality correctly orders the numbers -2/5, -11/3 and -2.5?

Answers

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal ≤

Greater than and equal ≥

The inequality that correctly orders the numbers is

-3.67 < -2.5 < -0.4

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

-2/5 = -0.4

-11/3 = -3.67

-2.5

Now,

We see that,

-0.4 is greater than -2.5 and -2.5 is greater than -3.67.

This can be represented as an inequality:

-3.67 < -2.5 < -0.4

Thus,

The inequality that correctly orders the numbers is

-3.67 < -2.5 < -0.4

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Quick help would be appreciated : )

Answers

The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67

What is inverse variation?

Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.

Example: If a varies inversely as b

This can be represented as;

a ∝ 1/b

Then,

ab = k

Where k is the proportionality constant

From the information given, we have that;

The number of kilometers = xThe liters of fuel = y

x ∝ 1/ y

Then,

xy = k

Substitute the values

476 (17) = k

k = 8092

If x = 1428 and k = 8092

Let's determine the value of y

y = k/x

y = 8092/1428

y = 5. 67 liters

Hence, the value is 5. 67 liters

Learn more about inverse variation here:

https://brainly.com/question/13998680

#SPJ1

let k and n be non-negative integers and n be the maximum of the two. what is a k-permutation of n distinct objects? g

Answers

If k and n are non-negative integers and n is the greater of the two, then the ordered list of k of the n things without repetition is the k-permutation of the n separate objects.

The total number of ways to select k objects from a set of n elements is n(n1), with (nk+1) alternatives being available for the kth place.when ordering matters and repetition is not permitted. A k-permutation of the elements in set A is any of the chosen lists in the previous configuration (choose k elements, in any order, with no repetition). Pnk=0 if k is greater than n. This makes sense because it is impossible to select k unique elements from an n-element collection if k>n.

Learn more about Permutation here

https://brainly.com/question/27058178

#SPJ4

find three consecutive integers such that 3 times the smallest is 18 more than the largest

Answers

The value of the three consecutive integers will be 10, 11, and 12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Three consecutive integers are such that three times the smallest is 18 more than the largest.

Let the three consecutive number be x, x + 1, and x + 2. Then the equation will be:

3x = (x + 2) + 18

Simplify the equation, then the value of the variable x will be:

3x = x + 2 + 182x = 20x = 20 / 2x = 10

Then the value of the integers will be:

x + 1 = 10 + 1 = 11x + 2 = 10 + 2 = 12

The value of the three consecutive integers will be 10, 11, and 12

Find out more about the Algebra link is given below:

https://brainly.com/question/21508358

#SPJ1

Evaluate -7(x – 4y) when x = −4 and y = −6 a140 b52 c-28 d-140​

Answers

Answer: D

Step-by-step explanation:

-7(-4-(4)(-6))

-7(-4-(4)(-6))

=140

A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 175 m downhill from the base of the tower. The angle in the figure is determined to be 13°. Find the length of cable required for the guy wire. (Round your answer to the nearest meter.)

Answers

Answer:

ii think that the figure will be determined by 13#

Step-by-step explanation:

you have to round up to the nearest meter

A right triangle has a hypotenuse of 1 meter and a leg of 1/2 meter. What is the area of the triangle to the nearest hundredth of a square meter?​

Answers

The area of the  triangle to the nearest hundredth of a square meter is 0.217m²

A right triangle has a hypotenuse of 1 meter and a leg of 1/2 meter

Hypotenuse = 1

base = 0.5

We need to calculate the perpendicular

h² = b² + p²

1² = 0.5² + p²

p² = 1 - 0.25

p = √0.75

p = 0.866

area of the triangle = 1/2 base x height

area = 1/2 (0.5 x 0.866)

area = 0.2165m²

Therefore the area of the  triangle to the nearest hundredth of a square meter is 0.217m²

To learn more about area refer here

https://brainly.com/question/17335144

#SPJ9


A triangle has an angle that measure 36.6° and a second angle that measures 59.3°. What is the
measure of the third angle?
2 pts

Answers

Answer: 82 is the answer

Step-by-step explanation: I just did this question and worked it out and it said it was right

Round 45.4673
off each number
to two (2) Decimal Place

Answers

Answer:

45.47

Step-by-step explanation:

(9 − 9i) − (−7+ 2i)
Simply

Answers

Step-by-step explanation:

Simplify Calculator. Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and see fro googlle bro

Answer:

16 - 11i

Step-by-step explanation:

When Adding or Subtracting any Complex Number

we Add or Subtract the Real Parts together and Add or Subtract the Imaginary Parts together

So for our Question

( 9 - 9i ) - ( -7 + 2i ) = ( 9 - (-7) ) + ( -9 - 2 )i = 16 - 11i

when the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. what is the original number?

Answers

The original number from the given decimal number is  0.02.

Define the term reciprocal of the number?A multiplicative inverse of such a number is referred to as the reciprocal. In other words, 1 divided by a number is the definition of the reciprocal. Any given number multiplied by its reciprocal would always yield the value 1. By swapping the values of a numerator and denominator, one can find exact reciprocal of a fraction.

For the given question;

Moving a decimal point 4 places towards the right corresponds to multiplying the given integer by 10,000 if it is x.

This results in:

10000x = 4.(1/x)

Simplifying.

x² = 4/10000

x > 0.

Taking square root of the number.

x = 2/100

x = 0.02

Thus, the original number from the given decimal number is  0.02.

To know more about the reciprocal of the number, here

https://brainly.com/question/15590281

#SPJ4

what is the future amount of 12,000 invested for 5 years at 14% compounded monthly?

Answers

Answer:

$24,067.32

Step-by-step explanation:

If you look up a compound interest calculator and put in the data correctly you should get $24,067.32

help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The rocket reaches its maximum height at 2.25 seconds.

It’s maximum height is 88 feet.

This can be found by finding the derivative of the function and setting it to zero.

-16x² +72x + 7

Taking first derivative and setting to zero:

-32x + 72 = 0

x = -72/-32=2.25

Find the height when x is 2 seconds by substituting this value into the original function:

-16 * (2.25)² + 72 * 2.25 + 7 = 88

Therefore the maximum turning point of the parabola will be (2.25, 88)

Question For Middle School........
[tex]1.what \: is \: the \: value \: of \: pie \: (\pi)[/tex]​

Answers

answer: 3.14159 (pi*)
For middle school the value of pie is 3.14.

Which answer is correct?

(A)4x + y = 6

−2x + y = −5

(B)x + y = 8

2x − 9y = 4

(C)x − 4y = −6

−2x − y = 5

(D) −x + y = 9

9x + 2y = 4

Answers

The system of equations best represented by the graph are 4x + y = 6 and −2x + y = −5

How to determine the system of equations represented by the graph?

The solution of the equations plotted in the graph can be found by checking the point of intersection of the lines

By examining the given graph we can guess the x and y values of the point of intersection. We need to guess because we do not have a means of getting the exact value from the graph. I guess x = 1.9 and y = -1.4

In order to find the system of equations represented by the graph, we need to solve the equations given in the option and check which one gives us  x and y values close to what we guessed from the graph

By Solving 4x + y = 6 and −2x + y = −5:

4x + y = 6          (1)

−2x + y = −5      (2)

Using elimination, subtract (2) from (1), this gives:

6x = 11            

x = 11/6 = 1.83

Put x = 11/6 into (1):

4(11/6) + y = 6

y = 6 - 4(11/6)

y = 6 -44/6 = -4/3 = -1.33

Since these calculated values are very close to the guessed values

Therefore, 4x + y = 6 and −2x + y = −5 are the system of equations best

represented by the graph. So option A is the answer

Learn more system of equations on:

https://brainly.com/question/13729904

#SPJ1

Other Questions
A 1 kg water balloon falls downward and experiences a 4.9 N air resistance as it approaches the ground. What is the acceleration of the water balloon when it experiences this air resistance? n is an integer greater than 1Prove algebraically that 10 + [tex]n^{2}[/tex] - (n-2)[tex]^{2}[/tex] is always an even number.Your final line must have, "always even" as part of the line. an agreement formed by two or more firms, with similar or dissimilar products, to deliver their products via a channel is a a 5.0- kg box is pulled by a horizontal force f applied to the top of the box. when the box meets a low doorstep, it begins to rotate around it. the box is 60 cm wide and 100 cm high. what minimum magnitude of the force f is needed to cause this movement? assume simple company had credit sales of $246,000 and cost of goods sold of $146,000 for the period. simple uses the percentage of credit sales method and estimates that 1 percent of credit sales would result in uncollectible accounts. before the end-of-period adjustment is made, the allowance for doubtful accounts has a credit balance of $210. required: what amount of bad debt expense would the company record as an end-of-period adjustment? projectile motion: if you launch a cannon at 15 degrees above horizontal, and another cannon at 75 degrees above horizontal, which one will reach farther horizontal range? explain your answer. Which triangle is ABC similar to and why? PLS HURRY I NEED THE ANSWER FAST!!!!!!Paula makes purses. The materials cost $2.25 per purse. She sells them for $5.00 each. Paula wants to invest $5000 for some new equipment. Which of these could be used to determine x, the number of purses Paula must sell to pay for the new equipment?A 5.00x - 2.25x = 5000B 5.00x + 2.25x = 5000C 5.00x = 5000D 2.25x = 5000 A 5 -kg ball hangs at one end of a string that is attached to a support on a railroad boxcar. When the boxcaraccelerates to the right, the string makes an angle of 30 with the vertical. The acceleration of gravity is 9.8 m/sand air resistance is negligible. Find the acceleration of the boxcar Darius needs to include contact information in an email that he is sending to a colleague. Which option should he choose from the ribbon?Attach FileAttach ItemAttach PolicyAttach Signature Visit each of the three credit reporting agencies and find an example of a credit report. For each, describe a different portion of the credit reportand how it is evaluated for credit worthiness. every 2 hours, the nurse turns and repositions the client who is experiencing frequent diarrhea. this action supports, among other things, infection prevention. which assessment indicates that there is a positive outcome from this nursing care? a cylindrical rod has equal and opposite forces applied parallel to the surface of its circular ends. the forces are directed toward the center of the rod. what type of stress is this rod subject to? an initital increase in the frequence of key pecking by pigeons when extinction is first implemented is called an In a paragraph, explain the difference between an opinion piece of writing and an informational/informative piece of writing. What are the fundamental differences between the two? What do you write about in each? What do they have in common? I ONLY HAVE THIRTY MINUTES A magnetic field points out of the page with B = 0.75 T . The wire shown carries a current of 69 A and has a length of 30 cm . What is the force exerted on the wire? if a host's ipv6 address contains the network adapter's mac address within the last 64 bits of the ipv6 address, what standard is being used? group of answer choices uuid-128 eui-64 ieee 802.36 macin6 you decide to invest $20,000 today, in the hopes that you will have $22,500 to buy a car in the future. if you can find an investment with an interest rate of 3% (compounded annually), about how long will it take for you to reach your goal? What are all prime factorization of 34 suppose a ship flies toward you at nearly lightspeed. in the ship's reference frame, it is 10 m long (front to back). when you measure its length, what is the result?