the height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function f (x)

Answers

Answer 1

The maximum height that the toy rocket reaches is 36feet.This is a type of projectile motion.

What is projectile motion?

An object being launched or projected into the air will move in a projectile motion, with the sole acceleration coming from gravity. Projectile motion has many uses in both physics and engineering. Examples include the motion of any ball in sports, fireworks, and meteors entering the Earth's atmosphere. These things are known as projectiles, and the path they take is known as a trajectory. As stated in Motion Along a Straight Line, the motion of falling objects is a straightforward one-dimensional type of projectile motion with no horizontal movement. In this part, we focus on projectile motion in two dimensions while ignoring the effects of air resistance.

Explanation:

Given function is:

[tex]f(t)= -16t^{2} + 48t[/tex]

Where t = time in seconds since the toy rocket was shot.

f(t) = the toy rocket’s height in feet.

In order to get the maximum height, we need to find out the time when the rocket will reach maximum height.

For this,  [tex]f^{'} (t)=0[/tex] and find t, again check f''(t), if its value is negative, put t in f(t) to get the maximum height.

[tex]f^{'} (t)=\frac{d}{dt} (-16t^{2} +48t) =0[/tex]

-32t + 48 =0

t = 1.5

f''(t) = -32, This means t=1.5 will be the time when the rocket will be at maximum height, or mathematically t will be the point of local maxima.

So, maximum height = f(1.5) = -16*(1.5)² + 48*1.5 = 36feet

Therefore, the maximum height that the toy rocket reaches is 36feet.

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Related Questions

Gabriella and Michelle are a few meters apart, at one end of a football field. Pierre is at the other end of the field, and he sees both of the them moving toward him 4m/s. From Michelle's point of view, how is Gabriella moving?
Group of answer choices

Gabriella is moving toward her at 8m/s

Gabriella is moving away from her at 4 m/s

Gabriella is moving toward her at 4 m/s

Gabriella is not moving

Answers

Answer:

Gabriella is not moving

Explanation:

This type of problem can be solved by having the concept of relative velocities clear. Two bodies move at Equal velocity 4 [m/s] towards Pierre. But they ask us about how Michelle sees Gabriella moving.

Since Gabriela moves at the same speed as Michelle, when Gabriela turns her head to see Michelle, she doesn't seem to move faster or slower than she does.

A classic example is when we are passengers of a car and in a window next door we see, a car next to us, this car seems static before our eyes, but we are aware that it moves at a speed equal to that of the vehicle we occupy.

A 450 N trunk rests on a 30 degree inclined plane. What is the force acting down the
plane (parallel force)?

Answers

Answer: What is the force acting down the plane?

• Opp= hyp (sinq)= 450(sin30)= 225 N

• What is the force acting perpendicular to the plane?

• adj= hyp (cosq)= 450(cos30)= 390 N

Explanation:

Science: Please help due in 5 minutes...

Answers

Answer:

fossil fuels are petroleum and natural gas. Well Fossils are mineralized remains of ancient plants and animals

20.0 m [N] - 15 m [S20degreesE]

Answers

Answer:

thank for making me give up on life

Explanation:

I thought the stuff I had was hard wth is even that

A glider is initially moving at a constant height of 3.72 m. It is suddenly subject to a wind such that its velocity at a later time t can be described by the equation v(t) = 16.02i − 7.96(1 + t)j + 0.76t3k, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.)

Answers

Answer:

[tex]17.89\ \text{m/s}[/tex]

Explanation:

Velocity is given by

[tex]v(t) = 16.02\hat{i}-7.96(1 + t)\hat{j} + 0.76t^3\hat{k}[/tex]

Initial velocity is asked so t = 0

[tex]v(0)=16.02\hat{i}-7.96(1+t)\hat{j}+0.76\times 0\hat{k}\\\Rightarrow v(0)=16.02\hat{i}-7.96\hat{j}[/tex]

Magnitude is given by

[tex]|v|=\sqrt{16.02^2+(-7.96)^2}\\\Rightarrow |v|=17.89\ \text{m/s}[/tex]

The initial velocity of the glider was [tex]17.89\ \text{m/s}[/tex].

Why does precipitation
occur when warm air rises?

Answers

Answer:

the warm air rises, cools and condenses to form clouds

Use the law of conservation of energy (assume no friction nor air resistance) to determine the kinetic and potential energy at the various marked positions along the roller coaster track below: KE= ME PER KE PE=20 000J KE=25 000J PE= mgh PE=_ KE= KE KE=OJ PE-7 500J PE=5 000J PE- D Ε. Voc KE=/m 12 KE- PEN KE=_ PE=__ KE=40 000J PE=OJ What is the total mechanical energy of the roller coaster throughout the ride? Explain how you determined ME.​

Answers

Answer:

Part A

1) At the starting point, we have;

PE = 40,000 J

2) PE = 0 J, KE = 40,000 J

3) KE = 20,000 J

4) PE = 15,000 J

5) KE = 32,500 J

6) KE = 40,000 J, PE = 0 J

7) KE = 35,000 J

8) KE = 40,000 J, PE = 0 J

Part B

The total Mechanical Energy = ME = 40,000 J

At the final point, we have;

ME = KE + PE = 40,000 J + 0 J = 40,000 J

Explanation:

Part A

By the law of conservation of energy, we have;

ME = PE + KE

Where;

ME = The total Mechanical Energy of the system

PE = The Potential Energy of the system

KE = The Kinetic Energy of the system

Where there is no friction, we have;

At the final stage, KE = 40,000 J. PE = 0 J

Therefore, ME = PE + KE = 40,000 J + 0 J = 40,000 J

1) At the starting point, we have;

KE = 0 J, therefore, PE = ME - KE = 40,000 J - 0 J = 40,000 J

2) At the bottom of the roller coaster, at the same level the PE is taken as PE = 0 J at the final stage, we have;

PE = 0 J, therefore, KE = ME - PE = 40,000 J - 0 J = 40,000 J

3) Where PE = 20,000 J, KE = ME - PE = 40,000 J - 20,000 J = 20,000 J

4) Where KE = 25,000 J, PE = ME - KE = 40,000 J - 25,000 J = 15,000 J

5) Where PE = 7,500 J, KE = ME - PE = 40,000 J - 7,500 J = 32,500 J

6) At the bottom KE = 40,000 J, PE = 0 J

7) Where PE = 5,000 J, KE = ME - PE = 40,000 J - 5,000 J = 35,000 J

8) KE = 40,000 J, PE = 0 J

Part B

The given that there is no friction nor air resistance, the total Mechanical Energy, ME, is constant and equal to the sum of the Potential Energy, PE and the Kinetic Energy, KE, as follows;

ME = KE + PE

At the final point, we have;

ME = 40,000 J + 0 J = 40,000 J

The total Mechanical Energy = ME = 40,000 J

What statement provides an example of designing a solution in the technological design process? Aerospace engineers need a lightweight material to build a jet. Engineers determine which features the material must have. Engineers test a carbon-plastic compound in a wind tunnel. The carbon-plastic compound is redesigned to save maximum energy.

Answers

Answer:

Engineers determine which features the material must have.

Explanation:

The statement provides an example of designing a solution in the technological design process is B. Engineers determine which features the material must-have.

what is the procedure for designing answers to technological issues?

Steps of the technological layout system encompass: pick out trouble, research the hassle, generate possible answers, pick out the fine solution, create a version, test the model, refine and retest the model as wished, and talk the final answer.

What is a design solution?

The design answer definition can be used to generate the quit product specifications with a view to be used to produce the product and to conduct product verification. This technique may be in addition delicate depending on whether or not there are extra subsystems of the quit product that need to be defined.

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Question 45 points)
Which is an appropriate way to avoid heat related illness when exercising?

Answers

Answer:

drinking enough fluids, wearing proper clothing and timing your workout to avoid extreme heat

Drink plenty of water before and during your workout. Make sure you’re dressed for your surroundings. Wear sunblock.

The net charge on an atom of a given element changes as ______ are added or removed.

Answers

Answer:

Answer is Electrons

Explanation:

If there is gain of electron then it will result a negative charge. And when there is loss of electrons it will result in the formation of positive charge iron.

you are arguing over a cell phone while trailing an unmarked police car by 26.0 m; both your car and the police car are traveling at 110 km/h. your argument diverts your attention from the police car for 2.0 s (long enough for you to look at the phone and yell,"i won't do that!"). at the beginning of that 2.0 s, the police officer begins braking suddenly at 5.00 m/s2. suppose that you take another 0.500 s to realize your danger and begin braking

Answers

The speed of the car when you hit the police car is 26.154 m/s.

The speed of the car's v = 110km/h = 30.56 m/s

The total time travel will also include the reaction time:

t = 2 + 0.4 = 2.4 s

For police,

The acceleration, a = - 5 m/s²

The distance traveled is:

[tex]S(p) = vt + (\frac{1}{2} ) \times at^{2}[/tex]

[tex]S(p) = 30.56 \times 2.4 + \frac{1}{2} \times (-5) \times (-2.4)^{2}[/tex]

S(p) = 58.93 m

Now, the original gap between the car was 25 m.

Therefore, the final gap = (25 − 73.33 + 58.93) m = 10.6 m

As a result, let's say that at time t₀, the distance between the cars is 10.6 meters.

The speed of the police car at t₀ will be:

v(p) = (30.56 − 5 × 2.4) = 18.56m/s.

Now, the collision occurs at a time t when S = S(p)

We pick your position's coordinates to be S = 0 and the police car's position to be S(p) = 10.6m at time t₀ .

Therefore,

[tex]S(p) - 10.6 = 18.56(t - t_{0}) - \frac{1}{2} \times (5) \times (t - t_{0})^{2}[/tex]

S(p) = 10.6 + 18.56t − 2.5t²

​And,

[tex]S = 30.56 (t - t_{0}) - \frac{1}{2} \times (5) \times (t - t_{0})^{2}[/tex]

When the distances are equal.

S = S(p)

30.56 (t - t₀) - (1/2)(5)(t - t₀)² = 10.6 + 18.56t − 2.5t²

t =  0.883 sec

So, the speed of your car during the collision will be:

v = 30.56 - 5(0.883) = 26.154 m/s

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The complete is mentioned below:

You are arguing over a cell phone while trailing an unmarked police car by 25m; both your car and the police car are traveling at 110km/h. Your argument diverts your attention from the police car for 2.0s (long enough for you to look at the phone and yell, “I won’t do that!”). At the beginning of that 2.0s, the police officer begins braking suddenly at 5.0m/s². What is the separation between the two cars when your attention finally returns? Suppose that you take another 0.40s to realize your danger and begin braking. If you too brake at 5.0m/s², what is your speed when you hit the police car?

ILL GIVE BRAINLIEST IF UR CORRECT

Answers

Answer:

B is the answer.

Explanation:

Question 21 of 25
Calculate the capacitance of a system that stores 6.5 x 10-10 C of charge at
Q
50.0 V. Use C =
AV
A. 7.7 * 1010 F
B. 3.1 x 107 F
C. 1.3 x 10-11 F
D. 3.2 x 10-8 F
SUBMIT

Answers

Answer:

C. 1.3 x 10-11 F

I took the test and got this correct, hope this helps

Explanation:

A girl is running in a long distance race. As she runs, her respiration rate 10 points increases. Her body cells must process energy at a faster rate to power her muscles as she runs. Is this action a response to internal stimuli or external stimuli?

A. internal stimuli
B. external stimili ​

Answers

A. Internal stimuli
Good luck

approximately 72 billion liters of milk are produced each year in the united states, from 8 million cows. on average, a single cow consumes 13,500 kg of corn feed each year. it requires 40 mj to produce a kilogram of corn feed, which contains 20 mj of energy. there are 15 mj of energy in a single liter of milk.

Answers

The energy efficiency of growing corn converted to milk is 50 percent corn efficiency produce 50 percent milk efficiency

Given data

annual milk production = 72 billion liters from 8 million cows

annual milk production = 72 billion liters / 8 million cows

annual milk production = 9000 liters / cow per annum

On average, a single cow consumes 13,500 kg of corn feed each year

40 MJ to produce a kilogram of corn feed, which contains 20 MJ of energy

15 MJ of energy in a single liter of milk

How to solve for energy efficiency of growing corn and converting it to milk

Energy efficiency of corn = energy output / energy input * 100

energy output = 20MJ

energy output = 40MJ

Energy efficiency of corn = 20 / 40 * 100

Energy efficiency of corn = 50 %

Energy efficiency of milk = energy output / energy input * 100

energy output = 13,500 * 20 = 270 000

energy output = 9000 * 15 = 135 000

Energy efficiency of milk = 135 000 / 270 000 * 100

Energy efficiency of milk = 50 %

Therefore 50 percent corn efficiency produce 50 percent milk efficiency

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complete question

Approximately 72 billion liters of milk are produced each year in the United States, from 8 million cows. On average, a single cow consumes 13,500 kg of corn feed each year. It requires 40 MJ to produce a kilogram of corn feed, which contains 20 MJ of energy. There are 15 MJ of energy in a single liter of milk.

1. Calculate the energy efficiency of growing corn and converting it to milk

For a given force as time ___
the impulse related to that force increases. *
A. increases
B. decreases

Answers

Answer:

Increases

Explanation:

For a given force, as the time increases, the impulse related to that force increases also.

Impulse and time are directly related to one another. Impulse is mathematically given as:

           I  = F t

I is the impulse

F is the force

t is the time taken

So, as both force and time increases, the value of the impulse must increase.

The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the basses, tenors, altos, and sopranos carry the melody from a low D to a high
A. In concert pitch, these notes are now assigned frequencies of 146.8Hz and 880.0 Hz . Find the wavelengths ofFind the pressure amplitudes of (d) the final note.

Answers

The Wavelength and pressure amplitude of the final note is 0.39 m and 0.255 Pa respectively.

What do you mean by the pressure amplitude?

The minuscule pressure difference between compressions and rarefactions in a sound wave is what the human ear uses to function. Pressure amplitude refers to the size of these pressure variations. Generally speaking, a sound appears louder the larger the pressure amplitude it has. Even for very loud sounds, these pressure changes are negligible in comparison to ambient pressure. A jet plane at 30 yards, for example, has pressure changes of just a few hundred Pascals, or less than one-hundredth of atmospheric pressure, which is loud enough to cause damage to human ears (which is roughly 100,000 Pa). The pressure amplitudes of the quietest noises that people can hear are approximately one billionth of the atmospheric pressure.

x=Asin (w [ t-K])+ b

Given:

Initial frequency, [tex]f_{initial} = 146.8\;Hz[/tex]

Final frequency, [tex]f_{final} = 880\;Hz[/tex]

Sound level, [tex]\beta=79\;dB[/tex]

We know that,

Speed of the sound, [tex]v=343\;m/s[/tex]

Density of air, [tex]\rho=1.2\;kg/m^{3}[/tex]

Wavelength, [tex]\lambda=\frac{v}{f}[/tex]

Wavelength of final note is,

[tex]\lambda=\frac{v}{f_{final}}[/tex]

Substitute the known values in the above equation,

[tex]\lambda=\frac{343}{880}}[/tex]

[tex]\lambda=0.39\;m[/tex]

[tex]\beta=10\times log(\frac{I}{I_{0}} )[/tex]

We know that, [tex]I_{o}=1 \times 10^{-12}\;W/m^{2}[/tex]

[tex]79=10\times log(\frac{I}{1 \times 10^{-12}} )[/tex]

By solving the above equation, We get,

[tex]I=7.9\times 10^{-5} W/m^{2}[/tex]

Pressure amplitude of the final note is,

[tex]I = \frac{(\triangle p)^{2} }{2 \times \rho \times v}[/tex]

[tex](\triangle p)^{2} = I \times2 \times \rho \times v[/tex]

[tex]\triangle p = \sqrt{I \times2 \times \rho \times v}[/tex]

Substitute the known values in the above equation,

[tex]\triangle p = \sqrt{7.9 \times 10^{-5} \times2 \times 1.2 \times 343}[/tex]

By solving the above equation, We get,

[tex]\triangle p = 0.255\;Pa[/tex]

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Give an example where the vectorial nature of velocity would be important when solving a problem.

Answers

Answer:

There are instances when the vectorial component or nature are important in solving problems.

Explanation:

The directional component of the velocity vector might become very important in some situations

Velocity problems involving topography; whether the velocity situation involves uphill or downhill for instance would have significant impact on the equation being solved, as deceleration or acceleration might occur, which would affect the velocity.

The resultant velocity of the boat and the river can be calculated by the application of vector diagram resulting to Pythagorean's theorem.

Velocity is a distance travelled in a specific direction per time taken. Velocity is a vector quantity and some questions involving velocity can be solved vectorially.

An example where the vectoral nature of velocity would be important when solving a problem will be a scenario where a boat is moving perpendicularly across a flowing river of high current.

Let assume that the river is flowing in west - east direction with a certain velocity. And the boat is moving across the river in north - south direction with a specific velocity.

The resultant velocity of the boat and the river can be calculated by the application of vector diagram resulting to Pythagorean's theorem.

Therefore, the vectoral nature of velocity will be important when solving a resultant velocity problem of a boat crossing a flowing river.

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The velocity of a 48.0 g shell leaving a 2.95 kg rifle is 391. m/s. What is the recoil velocity of the rifle?

Answers

Hi there!

[tex]\large\boxed{ -6.36m/s}[/tex]

Use the equation:

[tex]v_{2} = -\frac{m_{1}}{m_{2}} v_{1}[/tex]

Where m2 and v2 deal with the larger object, and m1 and v1 with the smaller object. Plug in the given values:

v2 = ?

m1 = 0.048 kg (converted)

m2 = 2.95

v1 = 391

[tex]v_{2} = -\frac{0.048}{2.95} *391[/tex]

[tex]v_{2} = -6.36m/s[/tex]

(1) astronomers have inherited many useful concepts from antiquity. (2) for example, ancient mathematicians invented angles and a system of angular measure that is still used to denote the positions and apparent sizes of objects in the sky. (3) when we locate stars, we don’t need to know their distances from earth (which are all different). (4) all we need to know is the angle from one star to another in the sky, a property that remains fixed over our lifetimes. (neil f. comins and william j. kaufmann iii, discovering the universe) sentence 2 can best be described as a

Answers

The reading of the given passage on astronomy gives;

Sentence (2) is the major supporting detail

How can the parts of the passage be identified?

Sentence (1) is the main idea or background statement with regards to astronomy, with regards to the sources of concepts being used in astronomy. It conveys the subject matter of passage.

Sentence (2) gives more light to the statement of sentence (1). It gives the supporting details of the concepts astronomers inherited from antiquity, by outlining them; (angles and angular measure system used locate stellar objects), while sentence (4) gives a little information with regards to the use of angular system.

Therefore;

Sentence (2) can be described as a major supporting detail

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If it took you 12 seconds to walk 36 meters, what is your velocity?
a
3 m/s
12 m/s
с
432 m/s
d
36 m/s
HEN

Answers

Answer:

3 m/s

Explanation:

rbsbdvebzvsvehdhdbd

Your speed is (36m)/(12sec).

That's 3 m/s. (Choice-A)

There's not enough information to determine your velocity.

what is kinetics force

Answers

Kinetics, branch of classical mechanics that concerns the effect of forces and torques on the motion of bodies having mass. *brainliest and thanks please*

Answer:

Explanation:

Kinetic force is the force caused kinetic energy. Kinetic energy is energy this is in movement such as a moving car or a falling rock.

What will happen to a satellite's orbit if its engines are turned on, causing it to
gain velocity tangential to its orbit?
O A. The height of its orbit will decrease.
OB. It will lose kinetic energy.
C. It will lose gravitational potential energy.
OD. The height of its orbit will increase.

Answers

B it will loose kinetic energy

A balloon and your hair have a neutral charge. There is no net charge since there are equal positive and negative charges. This is an example of an __________________

A inference
B observation
C hypothesis
D radiation

Answers

B is the answer your to your question

Calculate the frequency of an indigo light wave with the wavelength of 4.45 x 10^-7 m. The speed of light is 3.0 x 10^8.


^ meaning to the power

Answers

Answer:

6.74 x 10¹⁴Hz

Explanation:

Given parameters:

Wavelength  = 4.45 x 10⁻⁷m

Speed of light  = 3 x 10⁸m/s

Unknown:

The frequency of the indigo light  = ?

Solution:

To solve this problem, we use the expression below;

       V  = f ∧

V is the sped of light

f is the frequency

 ∧ is the wavelength

 Now insert the parameters and solve;

        3 x 10⁸  =  f x 4.45 x 10⁻⁷

         f  = 6.74 x 10¹⁴Hz

an astronomer from a distant star is observing the sun exactly in the plane of jupiter (so that jupiter crosses the solar disk); plot schematically the brightness of the sun he would observe it during the 50 (earth) years period.

Answers

As, orbital period of jupiter is equivalent to 12 years.

So, monitoring sun for 50 years will give periodic peaks in intensity.

What is intensity?

The power transferred per unit area is referred to in physics as the intensity or flux of radiant energy, and the area is measured on a plane perpendicular to the direction of the energy's transmission. Watts per square meter are the base units of the SI system. The term "intensity" is most often used to describe the average power transfer during a wave's duration, such as sound waves or electromagnetic waves like light or radio waves. There are many different energy exchange scenarios that can be described using the word intensity. One could figure out how much kinetic energy each drop of water from a sprinkler is carrying, for instance.

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Enter an expression in the box to Write the equation of the line perpendicular to y=-3x-1 that passes through the point (3,4).
Y = ?

Answers

Answer: -3x+13

Explanation:

The slope of the line that passes through the point (3,4) is 1/3. Then , the intercept of the perpendicular line is 3 . Then, the equation of the line is y = 1/3x + 3.

What are coordinates ?

Coordinates are numbers which describes the position of a shape, curve or line. The coordinates are written in terms of x and y axis values. A line or curve passing through certain points can be represented by an equation.

For a straight line the equation is y = mx + c

where m is the slope of the line and c be the intercept on y- axis.

For two perpendicular lines, the slope will be opposite inverse of each other.

The slope of the line y = -3x + 1 is -3. Then, the slope of the line which is perpendicular to this line is - (1/-3) = 1/3.

Then the equation of the line is y = 1/3 x + c.

given the line passes through the point (3,4).

Then,

4 = 1/3×3 + c

c = 3.

Therefore, the equation of the second line is y = 1/3 x + 3.

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Planet A has a gravitational field strength of 8.0 N/kg near its surface.

Planet B has three times the mass of Planet A and is half of its size.

What would be the gravitational field strength of planet B near its surface?

Answers

Answer: 96 N/kg

Explanation:

Which unit abbreviation is a measurement of force?
A.
m/s
B.
m/s2
C.
N
D.
N/s

Answers

Unit it is c trust please

Answer:

N

Explanation:

Plato

A runner is jogging in a straight line at a
steady vr= 8.2 km/hr. When the runner is
L= 2.5 km from the finish line, a bird begins
flying straight from the runner to the finish
line at vb= 41 km/hr (5 times as fast as the
runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.
What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.

Answers

The cumulative distance traveled by the bird is 3.12 km.

Cumulative distance of the bird

The cumulative distance of the bird is calculated as follows;

Apply the principle of relative velocity.

Vbt - Vrt = L

(Vb - Vr)t = L

where;

Vb is the velocity of the birdVr is the velocity of the runnert is time of motion

Substitute the given parameters and solve for time of motion,

(41 - 8.2)t = 2.5

32.8t = 2.5

t = 2.5/32.8

t = 0.076 hr

Distance traveled by the bird = 0.076hr x 41 km/hr = 3.12 km

Thus, the cumulative distance traveled by the bird is 3.12 km.

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Other Questions
PLZ HELP ME Which step below helps with organization?typing a works cited pageincorporating direct quotescreating an outlineadding transition words Pleaseee help. Will mark brainliest!Read the following passage from "Every Man a King":[T]hey own just as much as they did, and probably a little bit more; they hold just as many of the debts of the common people as they ever held, and probably a little bit more; and unless we, my friends, are going to give the people of this country a fair shake of the dice, by which they will all get something out of the funds of this land, there is not a chance on the topside of this God's eternal earth by which we can rescue this country and rescue the people of this country.Which phrase is an example of epistrophe?A. [T]hey own just as much as they didB. topside f this God's eternal earthC. and probably a little bit moreD. a fair shake of the dice Barney and Robin went shopping at H&M the store was having a sale on all shirts and pants. Barney spent $70 on 3 shirts and 2 pants and Robin bought 1 shirt and 4 pairs of pants for $90. (assume there is not sales tax). Write an equation to describe the total sent by Barney in the terms of the numbers of shirts and pants purchased. Let x be the price of a shirt and y be the price of a pair of pants. What would this question look like after we change the mixed numbers to improper & use KCF to rewrite the question?2 2/5 divided by 1 3/4 =A) 12/5 x 4/7B) 12/5 x 7/4C) 2/5 x 4/3D) 2 x 3/4 Can u plz help me with this DUE RIGHT NOW 30 POINTS AND BRAINLIST She sprang it on me before breakfast. There in seven words you have a complete character sketch of my Aunt Agatha. I could go on indefinitely about brutality and lack of consideration. I merely say that she routed me out of bed to listen to her painful story somewhere in the small hours. It can't have been half past eleven when Jeeves, my man, woke me out of the dreamless and broke the news: 'Mrs Gregson to see you, sir.'I thought she must be walking in her sleep, but I crawled out of bed and got into a dressing-gown. I knew Aunt Agatha well enough to know that, if she had come to see me, she was going to see me. That's the sort of woman she is.She was sitting bolt upright in a chair, staring into space. When I came in she looked at me in that darn critical way that always makes me feel as if I had gelatin where my spine ought to be. Aunt Agatha is one of those strong-minded women. I should think Queen Elizabeth must have been something like her. She bosses her husband, Spencer Gregson, a battered little chappie on the Stock Exchange. She bosses my cousin, Gussie Mannering-Phipps. She bosses her sister-in-law, Gussie's mother. And, worst of all, she bosses me. She has an eye like a man-eating fish, and she has got moral suasion down to a fine point.I dare say there are fellows in the worldmen of blood and iron, don't you know, and all that sort of thingwhom she couldn't intimidate; but if you're a chappie like me, fond of a quiet life, you simply curl into a ball when you see her coming, and hope for the best. My experience is that when Aunt Agatha wants you to do a thing you do it, or else you find yourself wondering why those fellows in the olden days made such a fuss when they had trouble with the Spanish Inquisition.'Halloa, Aunt Agatha!' I said'Bertie,' she said, 'you look a sight. You look perfectly dissipated.'I was feeling like a badly wrapped brown-paper parcel. I'm never at my best in the early morning. I said so.'Early morning! I had breakfast three hours ago, and have been walking in the park ever since, trying to compose my thoughts.'If I ever breakfasted at half past eight I should walk on the Embankment, trying to end it all in a watery grave.'I am extremely worried, Bertie. That is why I have come to you.'And then I saw she was going to start something, and I bleated weakly to Jeeves to bring me tea. But she had begun before I could get it.'What are your immediate plans, Bertie?''Well, I rather thought of tottering out for a bite of lunch later on, and then possibly staggering round to the club, and after that, if I felt strong enough, I might trickle off to Walton Heath for a round of golf.''I am not interested in your totterings and tricklings. I mean, have you any important engagements in the next week or so?'I scented danger.'Rather,' I said. 'Heaps! Millions! Booked solid!'What are they?''Ierwell, I don't quite know.''I thought as much. You have no engagements. Very well, then, I want you to start immediately for America.''America!'Do not lose sight of the fact that all this was taking place on an empty stomach, shortly after the rising of the lark.'Yes, America. I suppose even you have heard of America?''But why America?''Because that is where your Cousin Gussie is. He is in New York, and I can't get at him.''What's Gussie been doing?'Gussie is making a perfect idiot of himself.'To one who knew young Gussie as well as I did, the words opened up a wide field for speculation.'In what way?''He has lost his head over a creature.'On past performances this rang true.Which line from the text offers the best clues to Bertie's daily life? (5 points)a Tottering out for a bite of lunch later on, and then possibly staggering round to the club.b I thought she must be walking in her sleep, but I crawled out of bed and got into a dressing-gown.c My experience is that when Aunt Agatha wants you to do a thing you do it.d Do not lose sight of the fact that all this was taking place on an empty stomach, shortly after the rising of the lark. according to benners novice to expert model, a nurse who interprets nuances and perceives deviations from normal is at which level of clinical nursing practice? Please hurry and do all of them please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 50 points solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures Which is the correct answer one pick is wrong which is correct one then Plants do photosynthesis to turn sunlight into energy. Other organisms use cellular respiration to convert glucose into energy. Do you agree with these statements, why or why not? If you were in Hanoi and you went east what body of water would you end up in? Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de bisbol de campeonato. Los conductores tienen automviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuacin describe la relacin entre la cantidad de automviles y la cantidad de camionetas que pueden transportar exactamente a 80 estudiantes. Solve and graph the inequality6X + 32 > -4 Which equation has a graph that is a parabola with a vertex at (1, 1)?y = (x 1)2 + 1y = (x 1)2 1y = (x + 1)2 + 1y = (x + 1)2 1 5x - 7 + 2x = 21 solve the linear and state the property that justifies your first step An Amendment is added to the US constitution after which of these eventsA) The president signs it.B) The 1/2 of Congress ratifies it.C) the 3/4 of the state ratify it.D) The American people vote to added it. write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-2/3xgiving brainliest I WILL MARK BRAINLIEST A cart sitting at the top of a hill has 9000 J of potential energy. The cart is then pushed and by the time it is half way down the hill it has converted half of its potential energy . If the carts weighs 1000 kilograms then how fast is the cart rolling when it is halfway down the hill?