Nazri put some nails into a box and the total mass was 4 kg. Hari put some
screws into a similar box and the total mass was 10 kg. The screws were 3 times
as heavy as the nails.
(a) What was the mass of the nails?
(b) What was the mass of the box?​

Answers

Answer 1
Answer: a). 3kg b). 1kg

Explanation:

let x be the mass of nails
let y be the mass of the box

We can write an equation base on the information:

x + y = 4kg
3x + y = 10kg (screw is 3 times heavier than nail)

We can solve this system of equation using elimination method to find x:

3x + y = 10
x + y = 4
——————
3x + y = 10
-1(x + y = 4)
——————
3x + y = 10
-x - y = -4
——————
2x = 6
x = 6/2 = 3

Now that we have x we can find y:

3x + y = 10
3(3) + y = 10
9 + y = 10
y = 1


Related Questions


Does The TI-Nspire works just like the TI-84 ?

Answers

Answer:

TI-Nspire models automatically detect most points of interest such as x and y-intercepts, maximum values, and minimum values when you are in trace mode. TI-84 Plus models require you to use a series of left and right bounds and guesses to find those same values.

Help me with this please

Answers

Answer:

Hey there!

Point n is either -3+5 or -3-5.

Thus, the two possible values are 2 or -8.

Let me know if this helps :)

PLEASE HELP URGENT AND EXPLAIN FOR 25 POINTS MUST BE CORRECT Brielle bought an apartment building for $202,444. The value of the real estate appreciated at a constant rate per year. The table shows the value of the apartment building after the first and second years: Year 1 2 Value (in dollars) $212,566.20 $223,194.51 Which function best represents the value of the apartment building after t years? f(t) = 202,444(0.05)t f(t) = 202,444(1.05)t f(t) = 212,566.20(1.05)t f(t) = 212,566.20(0.05)t

Answers

Answer:

f(t) = 202,444(1.05)^t

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

A = final amount

P = principle amount

r = interest rate

t = time

Step 1: Find rate r

212,566.20 = 202,444(1 + r)¹

1.05 = (1 + r)¹

1.05 = 1 + r

r = 0.05

Step 2: Define variables

P = 202,444

r = 0.05

Step 3: Plug in variables into formula

A = 202,444(1 + 0.05)^t

A = 202,444(1.05)^t

solve for y: -2(5y-1)-y=-4(y-3)

Answers

Answer:

[tex]y = - \frac{10}{7} [/tex]

Step-by-step explanation:

- 2(5y - 1) - y = - 4(y - 3)

Expand the terms in the bracket

That's

-10y + 2 - y = - 4y + 12

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

That's

- 10y - y + 4y = 12 - 2

- 7y = 10

Divide both sides by - 7

We have the final answer as

[tex]y = - \frac{10}{7} [/tex]

Hope this helps you

-8 + 4m = 2. What is m?​

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your equation step-by-step.

[tex]-8 + 4m = 2[/tex]

Step 1: Simplify both sides of the equation.

[tex]4m - 8 = 2[/tex]

Step 2: Add 8 to both sides.

[tex]4m - 8 + 8 = 2 + 8 \\4m = 10[/tex]

Step 3: Divide both sides by 4.

[tex]\frac{4m}{4} = \frac{10}{4} \\m = \frac{5}{2}[/tex]

Answer : [tex]\boxed {m = \frac{5}{2} }[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Please answer this question now

Answers

Answer:

113 degrees

Step-by-step explanation:

Measure of arc ADCB = 58+108+60 = 226 degrees

Measure of angle B = 226/2 = 113 degrees

Answer:50

Step-by-step explanation:

Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5. 1 point

Answers

Answer:

y = - 140

Step-by-step explanation:

The statement

y varies jointly as x & z is written as

y = kxz

to find y when x = 7 and z = -5 we must first find the relationship between the variables

when y = - 180

z = 15

x = - 3

- 180 = k(15)(-3)

-180 = - 45k

Divide both sides by - 45

k = 4

The formula for the variation is

y = 4xz

when

x = 7

z = -5

y = 4(7)(-5)

y = 4(-35)

y = - 140

Hope this helps you

Desmond is 2 inches taller than Niki. If we let w represent Nikis height in inches, write an algebraic expression for Desmonds height. Enter your answer as an expression. Example: 3x^2+1

Answers

Answer:

w + 2

Step-by-step explanation:

Niki's height = w in

Desmond height = w + 2

Answer:

w+2

Step-by-step explanation:

Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.

Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and angle K L J is 38 degrees. Given △JKL, sin(38°) equals cos(38°). cos(52°). tan(38°). tan(52°).

Answers

Answer:

[tex]\bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Step-by-step explanation:

Given that [tex]\triangle KJL[/tex] is a right angled triangle.

[tex]\angle JKL = 52^\circ\\\angle KLJ = 38^\circ[/tex]

and

[tex]\angle KJL = 90^\circ[/tex]

Kindly refer to the attached image of [tex]\triangle KJL[/tex] in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given [tex]\triangle KJL[/tex].

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}[/tex]....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

[tex]cos\theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}[/tex]....... (2)

By (1) and (2):

sin(38°) [tex]\neq[/tex] cos(38°).

[tex]cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}[/tex] ...... (3)

Comparing equations (1) and (3):

we get the both are same.

[tex]\therefore \bold{sin(38^\circ)=cos(52^\circ)}[/tex]

Answer:

B in EDG

Step-by-step explanation:

solve for x 5(x+1)=4(x+8)

Answers

Answer:

x=27

Step-by-step explanation:

expanding the above expression we get

5x+5=4x+32

grouping numbers with coefficient of x at the left side and constant at the right side we get

5x-4x=32-5

x=27

To solve this equation, we start by distributing both the 5 and the 4 through both set of parentheses.

This gives us 5x + 5 = 4x + 32.

Now subtract 4x from both
sides to get x + 5 = 32.

Now subtract 5 from both sides and x = 27.

Without attempting to solve, how many solutions does this system of equations have? y=2x+1 −3y=6x+6 1. One Solution 2. No Solution 3. An infinite number of solutions 4. Cannot be determined without solving

Answers

Answer:

1. One Solution

Step-by-step explanation:

y=2x+1

−3y=6x+6

Divide the second equation by -3

−3y/-3=6x/-3+6/-3

y = -2x-2

The slopes are different so we know that the lines are not parallel

The will intersect at a point

There will be one solution

4x- 3y = -13 -x + 6y = -44

Answers

Answer:

3x and 9y and -31 is the correct answer if you are bloviating.

Step-by-step explanation:

bloviate the factors of x and y.

(x,y) =(-19/3 , 56/9)

Work out the value of angle x

Answers

Answer: 166 degrees

======================================================

Explanation:

The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.

The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180

y+83+83 = 180

y+166 = 180

y = 180-166

y = 14

Angle x and y are supplementary. They form a 180 degree angle

x+y = 180

x = 180-y

x = 180-14

x = 166

As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.

a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres​

Answers

Answer:

7 m

Step-by-step explanation:

Use the pythagorean theorem.

a^2+b^2=c^2

7.5 is your hypotenuse and 3 is one of your legs.

7.5^2 - 3^2 = 47.25

the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.

A truck costs $8,000 with a residual value of $1,000. It has an estimated useful life of 7 years. If the truck was bought on July 9 what would be the book value at the end of year 1?

Answers

Answer:

$7520.55

Step-by-step explanation:

Cost of truck = $8000

Residual value = $1000

Estimated useful life = 7 years

Depreciation = (cost of asset - salvage value) / useful life

Depreciation = (8000 - 1000) / 7

Depreciation = 7000 / 7

Depreciation = $1000

Truck was purchased on July 9, Therefore, Depreciation by the end of year one will be;

Number of days between July 9 and year end = 175 days

Daily Depreciation = $1000 / 365 = $2.739

Total Depreciation by year end = (daily Depreciation * 175 days) = $479.45.

Book value at the end of year 1 = (8000 - 479.45)

= $7520.55

Answer:

The answer is "$7,500".

Step-by-step explanation:

Formula:

In the month of July-December the depreciation:

[tex]\frac{\text{Cost-Residual}}{\text{Useful life}}\times \frac{6}{12} \\[/tex]

Cost-Residual= costs -residual value

Given:

Cost-Residual = $8, 000 - $ 1,00

                        = $7,000

Useful life= 7 years

Put the value in the above-given formula:

[tex]=\frac{7 000}{7}\times \frac{6}{12}\\\\= 1 000\times \frac{1}{2}\\\\= 5 00\\[/tex]

Therefore, the book value on point at the end of one year is:

= $8,000 -$ 500

= $7,500

Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !​

Answers

Answer: a/(b^2)

In general, (x^n1)/(x^n2)=x^(n1-n2). So the simplified version is a*(b^-2)=a/(b^2).

Answer:

a^5b^8/a^4b^10

= a^5-4 b^8-10

= a^1 b^-2

= a/b^2

I hope this helps

if u have question let me know in comments ^_^

if the first step of the equation -x + 6 = 5 - 3x is "subtract 5" then what should the next step be

Answers

Answer:

The next step is add x to each side

Step-by-step explanation:

-x + 6 = 5 - 3x

Subtract 5 from each side

-x + 6-5 = 5-5 - 3x

-x+1 = -3x

Add x to each side

-x+1 = -3x+x

1 = -2x

Answer:

Step-by-step explanation:

all you need to do is solve for x right? so in that case when you subtract 5 from both sides you get -x+1=-3x

then you will add x on each side

you should now have 1=-2x

divide each side by -2 and then you will have

-1/2=x

Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15

Answers

I guess it's x=-11
3x+7=x-15
3x-x=-15-7
2x=-22
X=-11

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.

Let the number be 'x'.

The three times the number plus 7. Then the expression is given as,

⇒ 3x + 7

The number 'x' is decreased by 15. Then the expression is given as,

⇒ x - 15

Both expressions are equal to each other. Then we have

3x + 7 = x - 15

3x - x = - 15 - 7

2x = - 22

x = - 11

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2




-
What is the product?
(-3s +2)(4s-1)

Answers

Answer: -12s + -2

Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2

Answer:

-12s²+11s-2

Step-by-step explanation:

(-3s+2)(4s-1)

First you have to FOIL (First, inner, outter, last)

First: -3s × 4s

Inner: -3s × -1

Outter: 2 × 4s

Last: 2 × -1

Now you should have -12s² + 3s + 8s -2

----------------------

Next you combine your like terms

Finally you have your answer, -12s²+11s-2 .

The mean of 5 numbers is 11. The numbers are in the ratio 1 : 1 : 2 : 3 : 4. Find the numbers.

Answers

Answer:

5, 5, 10, 15, 20

Step-by-step explanation:

Since the mean of the 5 numbers is 11, we know that the sum of the 5 numbers is 5 * 11 = 55. If we call the numbers x, x, 2x, 3x and 4x respectively based off of the ratio, we can write:

x + x + 2x + 3x + 4x = 55

11x = 55

x = 5 so 2x = 2 * 5 = 10, 3x = 3 * 5 = 15 and 4x = 4 * 5 = 20, therefore, the numbers are 5, 5, 10, 15, and 20.

Given that

Numbers are in ratio 1:1:2:3:4

Mean of these numbers is 11 .

To Find.

We have to find these five numbers.

Solution .

→ Let's assume these numbers as

→ x , x , 2x , 3x and 4x

→ Mean of any observations is = Sum of observations/ Number of observations.

→ Sum of observations = x+x+2x+3x+4x

11x

→ Number of observations = 5

→ Mean = 11

→ 11 = 11x/5

→ 11 (5) = 11x

→ 11(5)/11 = x

value of x = 5

Putting the value of x for finding all numbers .

→ 1st number = x → 5

→ 2nd number = x → 5

→ 3rd number = 2x → 10

→ 4th number = 3x → 15

→ 5th number = 4x → 20

I need this answer ASAP pls someone help ASAP work shown

Worth 10 pts

Answers

Answer:

5c² + 4c - 4

Step-by-step explanation:

Subtract the shaded area from the area of the outer rectangle, that is

(2c + 3)(3c - 2) - (c + 2)(c - 1) ← expand both pairs of factors using FOIL

= 6c² + 5c - 6 - (c² + c - 2) ← distribute parenthesis by - 1

= 6c² + 5c - 6 - c² - c + 2 ← collect like terms

= 5c² + 4c - 4

It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?

Answers

Answer:

0.0276

Step-by-step explanation:

The computation of the probability that the next driver is texting while driving is shown below:

= Fourth pull failure × fifth pull success

where,

Fourth pull failure is (1 - 0.52)^4

And, the fifth pull success is 0.52

Now placing these values to the above formula

So,

= (1 - 0.52)^4 × 0.52

= 0.0276

Hence, the probability is 0.0276

Is MNO=PQR? If so, name the congruence postulate that applies.
Given:
ME=PQ
NO=QR
MO=PR

A. Congruent - ASA
B. Congruent - SSS
C. Congruent - SAS
D. Might not be congruent

Answers

Answer:

B. Congruent - SSS

Step-by-step explanation:

Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.

ΔMNO ≅ ΔPQR due to Congruent-SSS

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given:

In ΔMNO and ΔPQR

Side ME=Side PQ

Side NO=Side QR

Side MO=Side PR

MNO ≅PQR

Since, corresponding sides of both the triangles are congruent.

So, both the triangles are congruent by SSS Postulate.

Hence , ΔMNO ≅ ΔPQR

learn more about of congruent triangles

brainly.com/question/4364353

#SPJ5

If a = 6, which of the following is equal to a^-2?
-36
-12
1/6^2
6^2

Answers

Answer:

[tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

Given a = 6, then

[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]

The 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².

What is exponentiation?

Exponentiation is a mathematical operation that involves two numbers, the base b, and the exponent or power n, and is pronounced as "b raised to the power of n." It is written as bⁿ and is pronounced as "b raised to the power of n."

When n is a positive integer, bⁿ = b × b × b ×...× b (n times)

and b⁻ⁿ = 1/bⁿ ...(1)

When n = 0, bⁿ = 1

How to solve this problem?

Given that a = 6 and n = 2.

Using (1), we get

a⁻² = 6⁻² = 1/6²

Therefore, the 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².

Know more about exponentiation here -

https://brainly.com/question/14513824

#SPJ2

BRAINLIEST!!!
What are the coordinates of P?

Answers

Answer:

Step-by-step explanation:

A kite is symmetrical about its vertical axis, so

if it is a kite, P is the reflection of  (b,0), so its coordinates are

(-b,0) by reflection about the y-axis.

Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks has he been depositing money?

Answers

The number of weeks Bart has been depositing money is 9 weeks according to investment and time.

The number of weeks of money depositing will be given by the formula -

Number of weeks = total amount deposited each week/total number of weeks × 100

Keep the values in formula to find the number of weeks of money deposit

Number of weeks = 90/10

Perform division that will include cancelling zeroes

Number of weeks = 9

Hence, Bart deposited the money for 9 weeks.

Learn more about calculations on division -

https://brainly.com/question/28119824

#SPJ1

Find the vertex of f(x)= x^2+ 6x + 36


Pls help soon

Answers

Answer:

vertex(-3,27)

Step-by-step explanation:

f(x)= x^2+ 6x + 36 ( a=1,b=6,c=36)

V(h,k)

h=-b/2a=-6/2=-3

k=f(-3)=3²+6(-3)+36

f(-3)=9-18+36=27

vertex(-3,27)

Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14

Answers

Answer:

11

Step-by-step explanation:

4=1

14=2

24=3

34=4

40=5

41=6

42=7

43=8

44=9

45=10

46=11

You will encounter 11 4s.

The value of y varies directly with x, where LaTeX: y=50y = 50 when LaTeX: x=40x = 40. Find the value of x when y is 10.

Group of answer choices

LaTeX: x=8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8 x = 8


LaTeX: x=12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5 x = 12.5


LaTeX: x=1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25 x = 1.25


LaTeX: x=0

Answers

Answer:

x= 8

Step-by-step explanation:

The equation of direct variation is

y = kx

When y = 50  when x = 40

50 = k* 40

Divide each side by 40

50/40 = k

5/4 = k

The equation is

y = 5/4x

Let y = 10

10 = 5/4x

Multiply each side by 4/5

4/5 * 10 = 5/4 x * 4/5

8 = x

A dealer bought 3 gross buttons at $.38 a dozen. He sold the buttons at 5 cents each. How much was his profit per gross?(12 dozen equals one gross)

Answers

Answer:

$2.64

Step-by-step explanation:

Selling them at 5 cents each ($0.05), he could sell 1 dozen buttons for

12 * $0.05 = $0.60

As he bought them at $0.38 per dozen, the profit per dozen would be

$0.60 - $0.38 = $0.22

As 12 dozen is 1 gross, the profit per gross would be

12 * $0.22 = $2.64

3 x 12 = 36

.5 x 36 = 18.0

36 divided by .38 is about 94.7

18 - 94.7 = -76.7

ANSWER:

about -76.7

(I may have done this wrong

Other Questions
A regulator equipped with a conventional alternate-air-source second stage:________ a) Is the among the most widely used and readily understood type of alternate air source. b) Limits the receiver to using only the alternate-air-source second stage. c) Allows the donor to give either second stage to an out-of-air diver. d) Both the first and third answers are correct. 4. Suppose you make $12 an hour as a lifeguard at the community pool during the summer. Let hrepresent the number of hours you work in a week. Write an expression that represents theamount of money you earn in a week and evaluate it for ) = 15.O 12.; $180O 12 + 1; $277(12.1); $1,260O5(127); $900 What is the goal of the scientific method Describe the intermolecular interaction of the surface carboxylate groups of a micelle and the surrounding water. The energy E (in ergs) released by an earthquake is approximated by log E= 11.8 + 1.5M. Where M is the magnitude of the earthquake. What is the energy released by the 1906 San Francisco quake, which measured 8.3 on the Richter scale? This energy, it is estimated, would be sufficient to provide the entire world's food requirements for a day. Answer in ergs. A textbook is an example of a_____ Source (primary/secondary) Question 15FLAG QUESTIONYou bought 9.5 pounds of chicken for $12.73. Find the cost of one pound of chicken. Determine the next possible thickness of the film (in nm) that will provide the proper destructive interference. The index of refraction of the glass is 1.58 and the index of refraction of the film material is 1.48. The major components of a time series are all of the following EXCEPT: trend. cycles. random variations. seasonality. inflation. A golfer hits a 42 g ball, which comes down on a tree root and bounces straight up with an initial speed of 15.6 m/s. Determine the height the ball will rise after the bounce. Show all your work. what dose a point represents: a) line segment b) a location c) intersection of a plane d) none of the above Independent and Dependent Variable PracticeDIRECTIONS: Read the information about each experiment and record the independent variable (IV) and dependent variable (DV). Then write a hypothesis for each experiment. Be sure to use an if, then, because statement.Will an egg float higher in water with more salt?IV:DV:Hypothesis:Willy and Billy want to know if stretching a rubber band at different lengths affects how far the rubber band will fly. They will use centimeters for all measurements.IV:DV:Hypothesis: Will a paper airplane with longer wings fly farther than shorter wings?IV:DV:Hypothesis:Will a plant grow higher with more light? IV:DV:Hypothesis:Milly and Bob want to know if the amount of baking soda added to vinegar will affect the height a rocket will launch. They will measure the baking soda in milliliters. They will measure the height of the rocket launch in meters. IV:DV:Hypothesis:Carrie and Heather wanted to know if the size of a coin will affect the number of drops of water it can hold. So they use a dropper to place water on a quarter, nickel, and penny. IV:DV:Hypothesis:I wonder if the amount of studying I complete has an effect on my science test scores? IV:DV:Hypothesis: Consider the case of Purple Panda Pharmaceuticals: Next year, Purple Panda is expected to earn an EBIT of $2,000,000, and to pay a federal-plus-state tax rate of 30%. It also expects to make $500,000 in new capital expenditures to support this level of business activity, as well as $35,000 in additional net operating working capital (NOWC). Given these expectations, it is reasonable to conclude that next year Purple Panda will generate an annual free cash flow (FCF) of (rounded to the nearest whole dollar). What is the average rate of change from x = 0 to x = 18? If all glucose is normally reabsorbed in the proximal tubule of the nephron, why do people with diabetes have glucose in their urine Sarah has $30,000 in her bank account today. Her grand-father has opened this account for her 15 years ago when she was born. Calculate the money that was deposited in the account 15 years ago if money has earned 3.5% p.a. compounded monthly through all these years. What happened during the Boston Massacre 2/3a - 1/6 =1/3 please help me The Reagan Revolution: a. included cuts to government programs. b. included an emphasis on global human rights. c. had little appeal for most Americans. d. introduced an expanded welfare state. be. strengthened the labor movement. A wire of 0.50m length is suspended by a pair of flexible leads in a uniform magnetic field of magnitude 0.98T. The vurrent in the wire is 2.0A in the direction shown. What is the mass of the wire if the current and the magnetic field are sufficient to remove the tension in the supporting leads?