Three communications channels in parallel have independent failure modes of 0.1 failure per hour. These components must share a common transceiver. Determine the MTTF of the transceiver in order that the system has a reliability of 0.85 to support a 5-hr mission. Assume constant failure rates.

Answers

Answer 1

Answer:

the MTTF of the transceiver is 50.17

Explanation:

Given the data in the question;

failure modes = 0.1 failure per hour

system reliability = 0.85

mission time =  5 hours

Now, we know that the reliability equation for this situation is;

R(t) = [ 1 - ( 1 - [tex]e^{-0.1t[/tex] )³] [tex]e^{-t/MTTF[/tex]

so we substitute

R(5) = [ 1 - ( 1 - [tex]e^{-0.1(5)[/tex] )³] [tex]e^{-5/MTTF[/tex] = 0.85

[ 1 - ( 1 - [tex]e^{-0.5[/tex] )³] [tex]e^{-5/MTTF[/tex] = 0.85

[ 1 - ( 0.393469 )³] [tex]e^{-5/MTTF[/tex] = 0.85

[ 1 - 0.06091 ] [tex]e^{-5/MTTF[/tex] = 0.85

0.9391 [tex]e^{-5/MTTF[/tex] = 0.85  

[tex]e^{-5/MTTF[/tex] = 0.85 / 0.9391

[tex]e^{-5/MTTF[/tex] = 0.90512

MTTF = 5 / -ln( 0.90512 )

MTTF = 50.17

Therefore, the MTTF of the transceiver is 50.17


Related Questions

In your opinion, should a marketing plan be created for each and every product under a single brand should the marketing be for the brand itself? Explain your answer

Answers

Answer:

Both of them

Explanation:

When creating a marketing plan you need to think of the objective or goals that you have, you should probably always have a running campaign to help the brand itself to be constantly seen by the audience, while at the same time having specific campaigns for the products that you want to push or to promote the most. For example, not all of Nike's ads are aimed to sell more sneakers or sports clothing, some of them are just to keep them on the conversation and growing their brand, while the hype up campaign for the release of a new pair of sneakers or collection is done at the same time. So you should always go for both.

A wooden pallet carrying 540kg rests on a wooden floor. (a) a forklift driver decides to push it without lifting it.what force must be applied to just get the pallet moving.​

Answers

Answer:

The appropriate solution is "1481.76 N".

Explanation:

According to the question,

Mass,

m = 540 kg

Coefficient of static friction,

[tex]\mu_s[/tex] = 0.28

Now,

The applied force will be:

⇒ [tex]F=\mu_s mg[/tex]

By substituting the values, we get

       [tex]=0.28\times 540\times 9.8[/tex]

       [tex]=1481.76 \ N[/tex]

Air enters a two-stage compressor operating at steady state at 520ºR, 14 lbffin 2 The overall pressure ratio across the stages is 12 and each stage operates isentropically. Intercooling occurs at constant pressure at the value that minimizes compressor work input as determined in Example 9.10, with air exiting the intercooler at 520°R. Assuming ideal gas behavior, with k = 1.4. Determine the work per unit mass of air flowing for the two-stage compressor, in Btu per lb of air flowing.

Answers

Answer:

106.335 Btu/Ib

Explanation:

Given data :

T1 = 520°R = 288.89K

P1 = 14 Ibf/in^2  = 96526.6 pa

r = 12

k = 1.4

R = 287 J/kg-k

Calculate work done per unit mass of air flowing ( two-stage compressor )

we will apply the equation below

W = 2k / K-1 * ( RT₁ ) * [tex][ r^{\frac{k-1}{2k} } - 1 ][/tex]

input values into equation above

W = 247.336 KJ/kg  = 106.335 Btu/Ib

Some_____
include peanut butter, bacon, and chocolate.
Snap traps baits
Glue boards
Catchalls
IGRs
Bait stations

Answers

Answer:

it’s IGS

Explanation:

because i read

Answer:

snap trap baits

Explanation: its kind of obvi, but i took the test and got it right.

(1) Estimate the specific volume in cm3 /g for carbon dioxide at 310 K and (a) 8 bar (b) 75 bar by the virial equation and compare to the experimental values of 70.58 and 3.90, respectively.
(2) Estimate the specific volume in cm3/g for carbon dioxide at 310 K and (a) 8 bar (b) 75 bar by the compressibility factor charts and compare to the experimental values2 of 70.58 and 3.90, respectively.

Answers

Answer:

70.66 cm^3

The specific volume for P = 70.66  is within 1% of the experimental value while the viral equation will be inaccurate when the second viral coefficient is used )

Explanation:

Viral equation : Z = 1 + Bp + Cp^2 + Dp^3 + -----

Viral equation can also be rewritten as :

Z = 1 + B ( P/RT )

B ( function of time )

Temperature = 310 K

P1 = 8 bar

P2 = 75 bar

Determine the specific volume in cm^3

V = 70.66 cm^3

b) comparing the specific volumes to the experimental values

70.58 and 3.90

The specific volume for P = 70.66  is within 1% of the experimental value while the viral equation will be inaccurate when the second viral coefficient is used )

attached below is the detailed solution

What is a SAFETY CHECK

Answers

Answer:

Safety check is defined as rounding to make sure that the patients and the milieu (patients living quarters) is secured and free of harmful items that can be used to hurt someone.

3Px=y−y2p2

first order higher dgree​

Answers

Answer:

the order higher is 3p79g5t88=yv5379

A s100 N m torque is applied to a 1-m-long, solid round steel shaft. Design it to limit its angular deflection 2°, if shear modulus of elasticity 80 GPa and to determine the fatigue strength of the material.

Answers

Answer:

assuming factor of safety of 2  

Se = 118.858 MPa

Explanation:

Torque = ± 100 N m

length of solid round steel shaft = 1-m

Angular deflection = 2°

shear modulus of elasticity = 80 GPa

Calculate Fatigue strength of material

apply Von-miss effective stress rule to determine the Von mises stress  

max torque = 100 + 0

assuming a  factor of safety of 2  

Se(fatigue strength of material ) = Von mises stress * Fs

                                                     = 59.429 * 2 = 118.858 MPa

An electrical contractor employs 16 people. Five people earn $15 per hour, four people earn $17 per hour, and the remaining people earn $16 per hour. What is the total hourly wage earned by all 16 people

Answers

Answer:

$255 per hour

Explanation:

Total number of employed people = 16

(i) 5 people earn $15 per hour

That means that the total amount earned by those 5 is;

5 x $15 = $75 per hour

(ii) 4 people earn $17 per hour

That means that the total amount earned by those 4 is;

4 x $17 = $68 per hour

(iii) The remaining people earn $16 per hour.

There are 7 people remaining. i.e

16 - 5 - 4 = 7

That means that the total amount earned by those remaining (7) is;

7 x $16 = $112 per hour

The total hourly wage is therefore the sum of all the results in i, ii and iii. i.e

Total = $75 + $68 + $112

Total = $255

Therefore, the total hourly wage earned by all 16 people is $255

A TRF receiver is to be designed with a single tuned circuit using an 8.2 uH inductor. If the frequency is to be tuned from 55 kHz to 1600 kHz, find the BW that results at 550 kHz if there is exactly 10 kHz BW at a frequency of 1050 kHz.
a. 105 kHz
b. 15.24 kHz
c. 5.24 kHz
d. 10 kHz

Answers

Answer:

[tex]Bw_1=5.24kHz[/tex]

Explanation:

From the question we are told that:

Induction [tex]L=8.2uH[/tex]

Resonant Frequencies

 [tex]F_1=550kHz\\\\\F_2=1050kHz[/tex]

Generally the Bandwidth & Frequency equation  is mathematically given by

 [tex]\frac{F-1}{Bw_1}=\frac{F_2}{Bw_2}[/tex]

Therefore

 [tex]Bw_1=\frac{500}{1050}*10[/tex]

 [tex]Bw_1=5.24kHz[/tex]

A fluid at 300 K flows through a long, thin-walled pipe of 0.2-m diameter. The pipe is enclosed in a concrete casing that is of square cross section (1 m x 1 m). The axis of the pipe is centered in the casing. The outer surfaces of the casing are maintained at 500 K. Calculate the heat loss per 1m length of the pipe. Please make sure to follow the rules required for all homework assignments.

Answers

Answer:

The correct answer is "1341.288 W/m".

Explanation:

Given that:

T₁ = 300 K

T₂ = 500 K

Diameter,

d = 0.2 m

Length,

l = 1 m

As we know,

The shape factor will be:

⇒ [tex]SF=\frac{2 \pi l}{ln[\frac{1.08 b }{d} ]}[/tex]

By putting the value, we get

⇒       [tex]=\frac{2 \pi l}{ln[\frac{1.08\times 1}{0.2} ]}[/tex]

⇒       [tex]=3.7258 \ l[/tex]

hence,

The heat loss will be:

⇒ [tex]Q=SF\times K(T_2-T_1)[/tex]

       [tex]=3.7258\times 1\times 1.8\times (500-300)[/tex]

       [tex]=3.7258\times 1.8\times (200)[/tex]

       [tex]=1341.288 \ W/m[/tex]

Technician A says that the distributor cap provides a connection point between the rotor and each individual cylinder plug wire. Technician B says that distributor caps cannot be repaired and have to be replaced when needed. Who is correct

Answers

Answer:

Neither a or b.

Explanation:

The distributor cap is cover which protects internal parts and holds contact between internal rotor and spark plug wires. When inspecting distributor caps there should be some carbon tracking which looks like bright white grease trails.

In a creep test, increasing the temperature will (choose the best answer) A. increase the instantaneous initial deformation B. increase the steady-state creep rate

Answers

Answer:

All of the above

Explanation:

firstly, a creep can be explained as the gradual deformation of a material over a time period. This occurs at a fixed load with the temperature the same or more than the recrystallization temperature.

Once the material gets loaded, the instantaneous creep would start off and it is close to electric strain. in the primary creep area, the rate of the strain falls as the material hardens. in the secondary area, a balance between the hardening and recrystallization occurs. The material would get to be fractured hen recrstallization happens.  As temperature is raised the recrystallization gets to be more.

froce and motion worksheet

Answers

Answer:

The following description of the problem is provided.

Explanation:

If somehow the system seems to be in movement it'll still relax, and it becomes moving whether it sits. An externality is a cost, that either affects or threatens that can modify the bodily condition.The phenomenon of anything changing their position, altering or completely replacing. Whenever moment anything keeps moving, several components are found.

Two steel plates are to be held together by means of 16-mm-diameter high-strength steel bolts fitting snugly inside cylindrical brass spacers. Knowing that the average normal stress must not exceed 210 MPa in the bolts and 145 MPa in the spacers, determine the outer diameter of the spacers that yields the most economical and safe design.

Answers

Answer:

The outer diameter of the spacers that yields the most economical and safe design is 25.03 mm

Explanation:

For steel bolt

Stress = 210 MPa or 210 N/mm2

Pressure = Stress* Area

Pbolt = 210 N/mm2 * 16^2 *(pi)/4

Pbolt = 210 N/mm2 * 200.96 mm^2 = 42201.6  N

For Brass spacer

Pressure = 42201.6  N

Area of Brass spacer = Pressure/Stress

Area of Brass spacer = 42201.6  N/145 N/mm^2 = 291.044 mm^2

Area of Brass spacer = (pi) (d^2 - 16^2)/4 =  291.044 mm^2

d^2 - 16^2 = 291.044 mm^2* 4/(pi) = 370.758

d^2 =  370.758 + 16^2

d^2 =   626.758

d = 25.03 mm

The outer diameter of the spacers that yields the most economical and safe design is 25.03 mm

A cylindrical specimen of some metal alloy having an elastic modulus of 124 GPa and an original cross-sectional diameter of 4.2 mm will experience only elastic deformation when a tensile load of 1810 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.46 mm.

Answers

Answer:

the maximum length of the specimen before deformation is 0.4366 m

Explanation:

Given the data in the question;

Elastic modulus E = 124 GPa = 124 × 10⁹ Nm⁻²

cross-sectional diameter D = 4.2 mm = 4.2 × 10⁻³ m

tensile load F = 1810 N

maximum allowable elongation Δl = 0.46 mm = 0.46 × 10⁻³ m

Now to calculate the maximum length [tex]l[/tex] for the deformation, we use the following relation;

[tex]l[/tex] = [ Δl × E × π × D² ] / 4F

so we substitute our values into the formula

[tex]l[/tex] = [ (0.46 × 10⁻³) × (124 × 10⁹) × π × (4.2 × 10⁻³)² ] / ( 4 × 1810 )

[tex]l[/tex] = 3161.025289 / 7240

[tex]l[/tex] = 0.4366 m

Therefore, the maximum length of the specimen before deformation is 0.4366 m

Tensile testing provides engineers with the ability to verify and establish material properties related to a specific material.

a. True
b. False

Answers

Answer:

True

Explanation:

Tensile testing which is also referred to as tension testing is a process which materials are subjected to so as to know how well it can be stretched before it reaches breaking point. Hence, the statement in the question is true

Find Ic(t),
If Vs(t)=8sin(4t+180°) V
3
د3
lic
62.5met
O 2.5cos(4t+53.1) A
O scos(4x+53.1°) A
O 2.5cos(4t+143°) A
Oscos(4t+143) A

Answers

Answer:

the answer is equal to 2.5cos(4t +53.1)

The walls of a refrigerator are typically constructed by sandwiching a layer of insulation between sheet metal panels. Consider a wall made from fiberglass insulation of thermal conductivity ki = 0.046 W/m K and thickness Li = 50 mm and steel panels, each of thermal conductivity kp = 60 W/m K and thickness Lp = 3 mm. If the wall separates refrigerated air at TX, i = 4 degree C from ambient air at T infinity, 0 = 25 degree C, what is the heat gain per unit surface area? Coefficients associated with natural convection at the inner and outer surfaces may be approximated as hi = h0 = 5 W/m2 K.

Answers

Answer:

q" = 14.122 W/m²

Explanation:

We are given;

Thermal conductivity of Fibre glass; k_i = 0.046 W/m.K

thickness of Fibre glass; L_i = 50 mm = 0.05 m

Thermal conductivity of steel panels; k_p = 60 W/m.K

Thickness of steel panels; L_p = 3 mm = 0.003 m

refrigerated air temperature; T∞_i = 4° C

Ambient air temperature; T∞_o = 25° C

h_i = h_0 = 5 W/m².K

Formula to calculate the heat gain per unit surface area in this case is;

q" = (T∞_o - T∞_I)/((1/h_o) + (L_p/k_p) + (L_i/k_i) + (L_p/k_p) + (1/h_i)

Where; ((1/h_o) + (L_p/k_p) + (L_i/k_i) + (L_p/k_p) + (1/h_i) is thermal resistance (R_th)

Plugging in the relevant values;

q" = (25 - 4)/((1/5) + (0.003/60) + (0.05/0.046) + (0.003/60) + (1/5))

q" = 14.122 W/m²

Please help!!!!! Thank u

Answers

Answer:

which class is this. I don't know sry

Air enters an adiabatic gas turbine at 1590 oF, 40 psia and leaves at 15 psia. The turbine efficiency is 80%, and the mass flow rate is 2500 lbm/hr. Determines:
a) The work produced, hp.
b) The exit temperature, oF.

Answers

Answer:

a) 158.4 HP.

b) 1235.6 °F.

Explanation:

Hello there!

In this case, according to the given information, it turns out possible for us to set up an energy balance for the turbine's inlets and outlets:

[tex]m_{in}h_{in}=W_{out}+m_{out}h_{out}[/tex]

Whereas the mass flow is just the same, which means we have:

[tex]W_{out}=m_{out}(h_{out}-h_{in})[/tex]

And the enthalpy and entropy of the inlet stream is obtained from steam tables:

[tex]h_{in}=1860.7BTU/lbm\\\\s_{in}= 2.2096BTU/lbm-R[/tex]

Now, since we assume the 80% accounts for the isentropic efficiency for this adiabatic gas turbine, we assume the entropy is constant so that:

[tex]s_{out}= 2.2096BTU/lbm-R[/tex]

Which means we can find the temperature at which this entropy is exhibited at 15 psia, which gives values of temperature of 1200 °F (s=2.1986 BTU/lbm-K) and 1400 °F (s=2.2604 BTU/lbm-K), and thus, we interpolate for s=2.2096 to obtain a temperature of 1235.6 °F.

Moreover, the enthalpy at the turbine's outlet can be also interpolated by knowing that at 1200 °F h=1639.8 BTU/lbm and at 1400 °F h=174.5 BTU/lbm, to obtain:

[tex]h_{out}=1659.15BUT/lbm[/tex]

Then, the isentropic work (negative due to convention) is:

[tex]W_{out}=2500lbm/h(1659.15BUT/lbm-1860.7BUT/lbm)\\\\W_{out}=-503,875BTU[/tex]

And the real produced work is:

[tex]W_{real}=0.8*-503875BTU\\\\W_{real}=-403100BTU[/tex]

Finally, in horsepower:

[tex]W_{real}=-403100BTU/hr*\frac{1HP}{2544.4336BTU/hr} \\\\W_{real}=158.4HP[/tex]

Regards!

A closed, rigid tank is filled with a gas modeled as an ideal gas, initially at 27°C and gauge pressure of 300 kPa. The gas is heated, and the gauge pressure at the final state is 367 kPa. Determine the final temperature, in °C. The local atmospheric pressure is 1 atm.

Answers

Answer:

the final temperature is 77.1 °C

Explanation:

Given the data in the question;

Initial temperature; T₁ = 27°C = ( 27 + 273)K = 300 K

Initial absolute pressure P₁ = 300 kPa = ( 300 + 101.325 )kPa = 401.325 kPa

Final absolute pressure P₂ = 367 kPa = ( 367 + 101.325 )kPa = 468.325 kPa

Now, to calculate the final temperature, we use the ideal gas equation;

P₁V/T₁ = P₂V/T₂

but it is mentioned that the rigid tank is closed,

so the volume is the same both before and after.

Change in volume = 0

hence;

P₁/T₁ = P₂/T₂

we substitute

401.325 kPa / 300 K = 468.325 kPa / T₂

T₂ × 401.325 kPa  = 300 K × 468.325 kPa

T₂ = [ 300 K × 468.325 kPa ] / 401.325 kPa

T₂ = 140497.5 K / 401.325

T₂ =  350.08 K

T₂ = ( 350.08 - 273 ) °C

T₂ = 77.1 °C

Therefore, the final temperature is 77.1 °C

can you solve this question​

Answers

Answer:

eojcjksjsososisjsiisisiiaodbjspbcpjsphcpjajosjjs ahahhahahahahahahahahahahahahhhahahahaahahhahahahahaahahahahaha

This should help it’s very helpful it helps with everything

How should an organization balance its resources between pursuing its primary mission for existence and striving to meet social responsibility goals?

Answers

Answer:

The main reason for the existence of an organization is to generate profits, but it is increasingly required through the legal and social obligation that companies are not only profitable entities, but promoters of the well-being and development of society.

Therefore, the balance between the resources for its financial goals and objectives and social responsibility goals will be achieved through the adoption of processes that include environmental and social management as an integral and important part of the general administration, which is not an exclusion for generation profitability, but a tool that will help achieve organizational goals and objectives.

Environmental and social management through certifications, programs and management systems, provides policies and procedures that help companies reduce their costs, eliminate waste, improve productivity, generate stakeholder satisfaction and several other benefits that promote continuous improvement and consequently the improvement in the company's positioning in the market.

Mark Brainliest Please

Answer:

When you talk about a balance, it assumes that the two are mutually exclusive. Social (and ecological) responsibility can drive economical results. However, not when you use the traditional Anglo-Saxon (Anglo-American) business model.

You need a different business model that starts with behavioural science and as a result, respect and dignity for the employees and the environment.

Truly LEAN organisations, like Toyota, but in the past also WireMold (until they were bought by a French company) create spectacular results BECAUSE they take good care of their employees and they reduce the ecological impact BECAUSE they reduce waste and energy consumption on a daily basis. You don’t need to use the LEAN methodology to be successful. Look at Alcoa’s former CEO, the late Paul O’Neil. When he took over, Alcoa was in deep trouble. Instead of focusing on higher profits, he announced a plan to make Alcoa the safest smelting company in the world. The employees felt heard and they started making Alcoa safer, and in the process, better. Fatalities dropped to an all time low and since the employees had changed old and dangerous ways of working with safer and more efficient methods, the company made record profits.

There are many companies that boast about being LEAN, but since the underlying business model (culture) is still traditional, they never achieve their real potential. Some (out of many) reasons that traditional organisations never achieve their real potential is that they:

Use traditional cost accounting, which completely counteracts many LEAN principles and leading to over production, inventory, quality v.s. quantity struggles, etc..
The second one is that Wall Street killed long term thinking. The pressure to meet the quarterly dividend expectations automatically favours short term fixes, often digging an even deeper hole to fill the previous one, instead of long term thinking.
Another is to make each department a cost/profit centre and to give them individual objectives. This leads to “point improvements” which seldom leads to overall better results. To counteract that, you need a systems view, where the interdependencies and hand-over points are studied.
And, as I have written often, the organisational culture often (unconsciously) blocks teamwork, cooperation and improvements.

Essence of check line in chain surveying

Answers

Answer:

Following are the description on the chain surveying:

Explanation:

The checking which is also called a beginning of the test is indeed a line uniting the summit of a triangular with other fixed locations from both sides of a triangle. To verify the overall precision of a framework, the check-line is measured. When assessed mostly on the ground, every length of an examination line should match its height. It also is called a proof line that connects the top of the triangle with any fixed location in the contrary direction. It is utilized for verifying the preciseness of a work.

Who certifies master electricians

Answers

Answer:

The state you live in

The state you live in for instance I live in California An electrician must hold a state license to work in California. The C-10 Electrical Contractor license is issued by the Department of Consumer Affairs, Contractors State License Board and will be required before you bid on any projects worth $500 or more

Ferrous metals contain ____ (ferrite) so most have ________ properties. Ferrous metals are vulnerable to _____ when exposed to_______, except for ____________ and wrought iron.​ ​

Answers

Answer:

Iron

Magnetic properties

Rust

Moisture

Stainless steel

Explanation:

Ferrous materials are those that contain iron. Now iron is a magnetic material and this makes ferrous materials to possess magnetic properties.

Since they contain iron, when they are exposed to moisture they react with oxygen in oxidation to form iron oxide which is reddish and gets worse over time which forms a rusty surface.

- Apart from Wrought iron that resists corrosion,another ferrous metal that does that is Stainless steel because it contains chromium, which is an element that protects it from rust.

Find the dryness fraction, specific volume and internal energy of steam at 7bar nd enthalpy 2600kj/kh. (0.921,0.2515m³/kg , 2420kj/kg)

Answers

Answer:

hdwhifniuewohfoyyhyeiudhwbwuxvgusvfgcvxg

Explanation:

Karen just checked her bank balance and the balance was 1111.11. She is kind of freaking out and saved the receipt, thinking that it must mean something. Karen is probably just suffering from

Answers

Answer:

chronic stoner syndrome

Explanation:

"the universe just sends us messages sometimes mannnn, you just have to be ready to listen to them" lol

What is FOLLOWING PROCEDURES

Answers

Answer:

When employees follow procedures, they perform tasks correctly and provide consistent customer service. This enhances the quality of your organization's products and services. And, in turn, improves your company's reputation. Employees can know they are fulfilling their roles and take pride in their work.

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What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, Add _________ to the previous term to find the next term A right triangle as shown below chef in a local restaurant bought a bag of rice but he was puzzled to see some impurities such as sand, salt and some stapler pins mixed with the rice. Help him to separate the impurities. Sort the type of impurities ( Soluble/Insoluble) present in the bag. after the creation of the Constitution the legislative branch of new u.s. governemnt would nowA enforce the lawsB. become a monarchy C represent states fairly D judge fairness of laws can someone please tell me why seagulls dont live in the bae Last month, a carpenter made 5 tables. This month he made 80% more. How many tables did he make this month?show how you got the answer please! Aline has a slope of -3 and a y-intercept of 3what is the x-intercept of the line? All of the chemical reactions within an organism is know as ___. I can drive my Vespa 3 1/2 miles on one-fourth of a gallon of gas. How many miles can I drive on 1 gallon of gas? what is science?in the chemistry A solution (HELP ASSAAAAP ROAD TO GRADUATION)Question 7 options:A) can contain more than two phases.B) must contain water.C) is always a liquid.D) is a single-phase homogeneous mixture. 5 people are going to a dinner party. Each person at the party will eat 24 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy? - My sister needs help with this but i have no idea A car moves at a constant speed of 90km/h from a starting point. Another car moves at 70km/h after 2hours from the same starting point. if both cars moves in the same direction, after how many hours will the distance between the first car and the second car to be 40 km. Seven members of the track team run the mile. Their mile times are all faster than 7 minutes but not faster than 6 minutes. Can you conclude that there are two runners whose times are less than nine seconds apart Carol Co. prepares a statement of cash flows starting with net income and then adjusting for items necessary to obtain net cash provided or used by operating activities. Carol Co. must be using the______method of reporting the statement of cash flows. A lawn fertilizer company is working on different formulas for lawn fertilizer. They want to examine the difference between their Original Formula and their Improved Formula. The table below shows the height of different lawns, in millimeters, using the various fertilizer formulas.The model for each lawn is shown in the table below. Lawn Fertilizer ModelA (Control Group) f(x)=7x+6B (Original Formula) f(x)=1.5x2+5.5x+11C (Improved Formula) f(x)=92xUse the model to estimate the height of the lawn after 10 weeks. If you were the lawn fertilizer company, which formula would you choose? Why? Claire and Don are farmers who produce beef and corn. In a year, Claire can produce 40 tons of beef or 160 bushels of corn. In a year, Don can produce 10 tons of beef or 20 bushels of corn. How do Clair and Don maximize their total output of beef and corn?A. Claire produces beef and corn while Don produces nothing.B. Claire produces beef and Don produces com.C. Claire and Don each spend half of their time producing beef and the other half producing corn.D. Don produces beef and Claire produces com. Select the correct answer from each drop-down menu.Which punctuation mark should be used in each sentence?1. I do not like potatoes; however, I love sweet potatoes.2. Many people are confused by these punctuation marks the colon, the semicolon, and the hyphen.3. After thinking about it for several days, I decided what I had to do I would apologize to Mrs. Potter.4. The day went by in an orderly fashion there was no trouble from any of the students.ResetNext At a total cost of $2,480,000, Herrera Corporation acquired 160,000 shares of Tran Corp. common stock as a long-term investment. Tran Corp. has 400,000 shares of common stock outstanding, including the shares acquired by Herrera Corporation.Required:Journalize the entries by Herrera Corporation. (1) Define uniform acceleration