3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0 [tex]{12{\frac{m}{s}}}[/tex] and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0 [tex]{12{\frac{m}{s}}}[/tex]​

Answers

Answer 1

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } [/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0 [tex]{12{\frac{m}{s}}}[/tex] and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0 [tex]{12{\frac{m}{s}}}[/tex]

[tex]\huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{mass \: 1 \: = \: 6000 \: kg}[/tex]

[tex]\quad\quad\quad\quad\sf{velocity\: 1\: = \: 2.0\: m/s}[/tex]

[tex]\quad\quad\quad\quad\sf{mass \: 2\: = \: 3000 \: kg}[/tex]

[tex]\quad\quad\quad\quad\sf{velocity\: 2\: = \: 3.0\: m/s}[/tex]

[tex]\huge\underline{\sf{\red{Fomula:}}}[/tex]

[tex]\quad\quad\quad\quad\boxed{\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}}[/tex]

[tex]\huge\underline{\sf{\red{Solution:}}} [/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{(6000 \: kg)(2.0\:m/s)+(3000\:kg)(3.0\:m/s)}{(6000\:kg)+(3000\:kg)}}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{(12,000kgm/s)+(9,000\:kgm/s)}{(9,000kg)}}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{21,000 \: kgm/s}{9000kg}}[/tex]

[tex]\quad\quad\quad\quad\sf{vf\: = \frac{21,000 \cancel{ \red{ kg}}m/s}{9000 \cancel{ \red{kg}}}}[/tex]

[tex]\quad\quad\quad\quad \sf{vf\: = \boxed{ \sf{ 2.33 \:m /s}}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad\quad \underline{ \sf{\boxed{ \sf{ \red{ 2.33 \:m /s}}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } [/tex]

[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]

[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]

ฅ^•ﻌ•^ฅ


Related Questions

Which ordered pair is a solution of the equation y = -7x + 2
A. (1,2)
B. (8, -54)
C. (5, -35)
D. (1, -7)

Answers

Answer:

B. (8, -54)

Step-by-step explanation:

y = -7x + 2

Check to see if the point makes the equation true

A. (1,2)  2 = -7(1)+2 = -7+2 = 5   False

B. (8, -54) -54 = -7(8)+2 = -56+2 = -54  True

C. (5, -35)  -35 = -7(5) +2 = -35+2 = -33 False

D. (1, -7)  -7 =-7(1)+2 = --7+2 = -5  False

Help me with this question too

Answers

Answer:

The one on the right

Step-by-step explanation:

Because it is 4 then 3

Answer:

the second one (the one to the right)

Step-by-step explanation:

Michelle invested $10,000 for one year, part at 8% interest and the rest at 12% annual interest. Her total interest for the year was $944. How much money did she invest at 12% interest?

Step by step please.

Answers

Answer:

Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.

Step-by-step explanation:

Given that Michelle invested $ 10,000 for one year, part at 8% interest and the rest at 12% annual interest, and her total interest for the year was $ 944, to determine how much money did she invest at 12% interest, the following calculation must be done:

10,000 x 0.08 + 0 x 0.12 = 800

8,000 x 0.08 + 2,000 x 0.12 = 880

4,500 x 0.08 + 5,500 x 0.12 = 1,020

6,000 x 0.08 + 4,000 x 0.12 = 960

6,500 x 0.08 + 3,500 x 0.12 = 940

6,400 x 0.08 + 3,600 x 0.12 = 944

Therefore, Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.

PLZ HELP ILL GIVE BRAINLIEST IF RIGHT!!!

Rosa has already written 11 pages ,and she expects to write 3 pages for every additional hour spent writing. How many hours will Rosa have to spend writing this week in order to have written a total of 47 pages?

Answers

Answer:

12 hours

Step-by-step explanation:

pages total = pages written + pages per hour * number of hour

47 = 11 + 3*h

Subtract 11 from each side

47 -11 = 11 +3h -11

36 = 3h

Divide by 3

36/3 = 3h/3

12 = h

An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown
below.
y = x + 10
y=-x+3
Which of the followine statements is a correct step to find x and y?
A add the equations to eliminate x
B multiply the equations to eliminate y
C write the points where the groans of the equation intersect the x axis
D write the points where the graphs equation intersect the y axis

Answers

Answer:

a. add the equations to eliminate x

Step-by-step explanation:

this is called process of elimination

I need help, please!! I'll give a brainliest

Answers

Answer:

metals or metalloids

Step-by-step explanation:

I'm built different i dont know if im right about the question. im just not sure if i understood the question correctly

Plz solve this question correctly.
Show the steps needed to solve it.

Answers

Answer:  378y^3

Step-by-step explanation:

the formula for volume is V = L * w * h , where V=volume, L=length, W=width, and H=height

if we plug the numbers from the picture in, the formula would look like this:

V = 9y * 7y * 6y

to solve you just multiply them together

V = 378 y^3

The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

PLS I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!

Answers

Answer:

5. 2 hours 45 minutes 6. 7:23 7. 10:05 8. 1 hour 34 minutes

Step-by-step explanation:

I mean u gotta be lying about staying up all night to do these 4 problems but heres the answers

Answer:

5. 2 hours 45 mins

6. 7:23 start

7. 10:05

8. 1 hour 34 mins

Calculus 2. Please help

Answers

Answer:

[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}}} \, dx = \infty[/tex]

General Formulas and Concepts:

Algebra I

Exponential Rule [Rewrite]:                                                                           [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Calculus

Limits

Right-Side Limit:                                                                                             [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integrals

Definite Integrals

Integration Constant C

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

U-Solve

Improper Integrals

Exponential Integral Function:                                                                              [tex]\displaystyle \int {\frac{e^x}{x}} \, dx = Ei(x) + C[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex]

Step 2: Integrate Pt. 1

[Integral] Rewrite [Exponential Rule - Rewrite]:                                          [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \int\limits^1_0 {\frac{e^{-x^2}}{x} \, dx[/tex][Integral] Rewrite [Improper Integral]:                                                         [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \int\limits^1_a {\frac{e^{-x^2}}{x} \, dx[/tex]

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Set:                                                                                                                 [tex]\displaystyle u = -x^2[/tex]Differentiate [Basic Power Rule]:                                                                 [tex]\displaystyle \frac{du}{dx} = -2x[/tex][Derivative] Rewrite:                                                                                     [tex]\displaystyle du = -2x \ dx[/tex]

Rewrite u-substitution to format u-solve.

Rewrite du:                                                                                                     [tex]\displaystyle dx = \frac{-1}{2x} \ dx[/tex]

Step 4: Integrate Pt. 3

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} -\int\limits^1_a {-\frac{e^{-x^2}}{x} \, dx[/tex][Integral] Substitute in variables:                                                                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} -\int\limits^1_a {\frac{e^{u}}{-2u} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}\int\limits^1_a {\frac{e^{u}}{u} \, du[/tex][Integral] Substitute [Exponential Integral Function]:                                 [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(u)] \bigg| \limits^1_a[/tex]Back-Substitute:                                                                                             [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(-x^2)] \bigg| \limits^1_a[/tex]Evaluate [Integration Rule - FTC 1]:                                                             [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{1}{2}[Ei(-1) - Ei(a)][/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \lim_{a \to 0^+} \frac{Ei(-1) - Ei(a)}{2}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx = \infty[/tex]

∴  [tex]\displaystyle \int\limits^1_0 {\frac{1}{xe^{x^2}} \, dx[/tex]  diverges.

Topic: Multivariable Calculus

If David walks 1/2 mile in 1/4 hour, then how fast does David walk in one hour? (In other words, what is David's "unit rate"?)

Answers

Davids walked 2 miles per hour (his velocity was 2mph)

Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2

Answers

Answer:

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

Step-by-step explanation:

Given

[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Required

The complete factored form

We have:

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Factor out x + 3

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

The above represents the completely factored form

Answer:

C on edge

Step-by-step explanation:

I took the test

Complete the synthetic division to find the quotient of 3x^3-25x^2+12x-32 and x-8

Answers

Answer:

Explanation:

Hey there!

Please see your required solution in picture.

Quotient Q(X) = 3x²-x+4

Hope it helps!

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

HELP PLZ
Possible values for the area A of the rectangle shown are 12 - As 36. Write and
solve a compound inequality to find the possible values of x. Are these values all
viable in this situation?
2x + 1
3

Answers

Answer:

i had the exact same question as this, dm me on discord so i can screenshare my answer

Step-by-step explanation:

jey0001 is my discord

simplify the question

Answers

Answer:

=−4√2​

I got this when simplified.

HELP NEEDED ASAP!! Find the sine of B

Answers

Sine uses opposite divides by hypotenuse.

Therefore,

Sin B = √70/√95

Simplify

Sin B = √14/19

Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expenditure. The capital of the two partners together is given by polynomial 6x² + 11x – 35 which is the product of their individual share factors.
a-The value of x, when their total share is equal to 0?
b-The total expenditure of Vicky and Micky when x = 10 is (in Rs
c-The sum of their expenditure is


Answers

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of x in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

Find the equation of the line with slope -2 which goes through the point (9,-7).
Give your answer in slope-intercept form y = mx + b.

Answers

The answer is y= -2x-7

Evaluate (xy) ^-6 if x = 3 and y = -1.
A. 3
B. -1/729
C. 1/73
D. 1/729

Answers

the answer is c 1/73

please help me 2 The two lines shown below are perpendicular. If the slope of the red line is 5 what is the slope of the green line? Use a slash mark (/) as a fraction bar if necessary. 15 O A. O OB. 5 min O c. O c tole D. O​

Answers

Answer:

-5/2

Step-by-step explanation:

Perpendicular slope is always the negative reciprical. This basically means the opposite sign and the nubers are flipped.

A trained stunt diver is diving off a platform that is 15 m high into a pool of water that is 45 cm deep. The height, h, in meters, of the stunt diver above the water, is modeled by h=-4.9t^2+12t+5, where t is the time in seconds after starting the dive.

a) How long is the stunt diver above 15 m?

b) How long is the stunt diver in the air?

Answers

Answer:

a) 0 seconds.

b) The stunt diver is in the air for 2.81 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Height of the diver after t seconds:

[tex]h(t) = -4.9t^2 + 12t + 5[/tex]

a) How long is the stunt diver above 15 m?

Quadratic equation with [tex]a < 0[/tex], so the parabola is concave down, and it will be above 15m between the two roots that we found for [tex]h(t) = 15[/tex]. So

[tex]h(t) = -4.9t^2 + 12t + 5[/tex]

[tex]15 = -4.9t^2 + 12t + 5[/tex]

[tex]-4.9t^2 + 12t - 10 = 0[/tex]

Quadratic equation with [tex]a = -4.9, b = 12, c = -10[/tex]. Then

[tex]\Delta = 12^{2} - 4(-4.9)(-10) = -52[/tex]

Negative [tex]\Delta[/tex], which means that the stunt diver is never above 15m, so 0 seconds.

b) How long is the stunt diver in the air?

We have to find how long it takes for the diver to hit the ground, that is, t for which [tex]h(t) = 0[/tex]. So

[tex]h(t) = -4.9t^2 + 12t + 5[/tex]

[tex]0 = -4.9t^2 + 12t + 5[/tex]

[tex]-4.9t^2 + 12t + 5 = 0[/tex]

Quadratic equation with [tex]a = -4.9, b = 12, c = 5[/tex]. Then

[tex]\Delta = 12^{2} - 4(-4.9)(5) = 242[/tex]

[tex]x_{1} = \frac{-12 + \sqrt{242}}{2*(-4.9)} = -0.36[/tex]

[tex]x_{2} = \frac{-12 - \sqrt{242}}{2*(4.9)} = 2.81[/tex]

Time is a positive measure, so we take 2.81.

The stunt diver is in the air for 2.81 seconds.

How much almond milk does James use per teaspoon of cashew butter

Answers

Put the whole problem, we need more information

Simplify exponents. A, B, or C and explain.

Answers

8^-3 is the answer.. when two numbers of the same base in a fraction form are stacked on top of each other, the exponents always SUBTRACT.. so 3-6 is -3 and the base stays the same :)

Answer:

[tex]8^{-3}[/tex]

Step-by-step explanation:

[tex]\frac{8^3}{8^6}[/tex]

in division f the base are same u can subtract their exponents

8^3-6

8^-3

А
E
F
B1
2
2x
135°
750
2x -15°
12
G
H
I
C3
D
Determine the value of x.​

Answers

i wonder this is math problem or code word for treasure

Answer:

Step-by-step explanation:

(2x-15) = 45

Step-by-step explanation:

When two angles lie on a straight line, they are supplementary

what this mean is that the add up to equal 180 degrees

Mathematically, we have this as:

(2x-15) + 135 = 180

(2x-15) = 180-135

(2x-15) = 45

Given the figure below as marked, which term best describes EF?

A. angle bisector
B. median
C. perpendicular bisector
D. altitude

Answers

Answer:

B

median

hope its help you

Answer: B. Median

Step-by-step explanation:

its the middle line.

log2 1 is defined
True
False

Answers

Answer: True

Through the change of base formula, we can say,

[tex]\log_{2}(1) = \frac{\log(1)}{\log(2)} = \frac{0}{\log(2)} = 0[/tex]

So in short,

[tex]\log_{2}(1)=0[/tex]

It turns out that

[tex]\log_{b}(1) = 0[/tex]

for real numbers b such that b > 0 and [tex]b \ne 1[/tex]

CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THINK YOU

Answers

Answer:

[tex]10\frac{7}{18}[/tex]

Step-by-step explanation:

First revert it to improper fraction.

[tex]\frac{13}{2} +\frac{35}{9} \\\\[/tex]

Now put them to a common denominator.

[tex]\frac{187}{18}[/tex]

=> [tex]10\frac{7}{18}[/tex]

Play the four digit 3,5,7,and 9 into the boxes pure in the position that would give the greatest results in the true numbers are multiplied

- 73X95
- 79X53
-97X35
-93X75

Answers

Answer:

- 9 3 x 7 5

Step-by-step explanation:

To get the combination that would yield the greatest result if the true number are multiplied,

i. multiply each given combination

73 x 95 = 6935

79 x 53 = 4187

97 x 35 = 3395

93 x 75 = 6975

ii. get the largest result from the results calculated above in (i)

The greatest of the results is 6975, therefore the digits should be placed like so;

9   3

7   5

Can someone help me? Which of the following verifies that triangle YXZ is similar to triangle QPR?

Answers

Answer:

a

Step-by-step explanation:

căn bậc hai của (x^2-2x-3)

Answers

[tex]heres \: the \: answer \: i \: hope \: it \: help[/tex]

Other Questions
What is the last phase of the website development process?O A. developmentOB.maintenanceO c. testingOD. design Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 miles per hour.Speed (miles per hour) 42-45 46-49 50-53 54-57 58-61Frequency 21 15 6 4 2The mean of the frequency distribution miles ______ per hour. (Round to the nearest tenth as needed.)Which of the following best describes the relationship between the computed mean and the actual mean?A. The computed mean is not close to the actual mean because the difference between the means is more than 5%.B. The computed mean is not close to the actual mean because the difference between the means is more than 5%.C. The computed mean is not close to the actual mean because the difference between the means is less than 5%.D. The computed mean is close to the actual mean because the difference between the means is less than 5%. Which of these was true about north american colonies held by britian and france before the french and indian war Mandolin produced 70,000 units and sold 50,000 units. Their unit selling price is $20 and they have variable unit production costs of $10, variable selling expenses of $3 and fixed overhead of $10,000. Compute Mandolin's net income under variable costing. Multiple choice question. $340,000 $350,000 $450,000 $500,000 please help me please help me please help me please help me please help me please help me please a number added to 3 is equal to negative 5, find the number QUESTION 33.1 The diagram below shows a cholera bacterium. It has been magnified 50 000timesA1 mm - 1000um3.1.1 Name structure C.(1)3.1.2 State the function of structure C.3.1.3 Calculate the actual width of the cholera bacterium between points Xand Y. Give your answer in micrometers (um). Show all working(2) Which view is consistent with the family-systems perspective?Select one:a. A person's behavior in a family is tied to the behavior of all the otherfamily members.b. Therapy cannot be attempted unless it is possible to treat everyone inthe family.c. Dysfunctional families are usually caused by a single family member.d. Families will always support a family member who makes a change toimprove themselves. The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio. Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be? Hubert is a stay-at-home parent who lives in New York City and teaches tennis lessons for extra cash. At a wage of $35 per hour, he is willing to teach 4 hours per week. At $45 per hour, he is willing to teach 8 hours per week. Using the midpoint method, the elasticity of Jakes labor supply between the wages of $50 and $65 per hour is approximately ___ , which means that Jakes supply of labor over this wage range is ___ . Point Z has the coordinates (3,5) and is translated left 2 units and down 2 units to create point Z.What are the coordinates of point Z? A factory employs 200 men and 50 women. 80 of the men are each paid $100, the rest are paid $80 and the women are paid $50, what is the total wage bill. You are participating in a Spanish summer camp students from all over the world are attending it's lunchtime and one of the students approaches you The diagram below is divided into equal parts. Which shows the ratio of unshaded section to shaded sections Rpondez aux questions suivantes : (5 aux choix) a. Quelles sont les responsabilits dune secrtaire ? b. Quelles sont les formalits pour avoir une carte de lecture ? c. Nommez la plus ancienne universit de Paris. d. Nommez deux peintres franais. e. Quelles sont les diffrentes rubriques dun journal ? f. Qui est R.K Narayan ? g. Quest-ce quun conte ? 5 pointsWhat is the process by which all the rock formations of a region arePUSHED UP due to plate motion? A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.A solid right pyramid has a regular hexagonal base with an area of 5.2 centimeters squared and a height of h centimeters.Which expression represents the volume of the pyramid?One-fifth(5.2)h cm3StartFraction 1 Over 5 h EndFraction(5.2)h cm3One-third(5.2)h cm3StartFraction 1 Over 3 h EndFraction(5.2)h cm3 3. A pair of sneakers that costs $60.50 is on sale for 20% off. Find the DISCOUNT. (5 Points) $20 O $12.01 $12.10 $48.40 Add the following numbers. -6 + 5 =