Answer:
Explanation:
5x + y = 7
20x - y = -2
25x = 5
x = (1/5)
5(1/5) + y = 7
1 + y = 7 .
y = 6
system of equations 5x+y=7, 20x+2=y
is [tex]x=\frac{1}{5} \\y=6[/tex]
What is system of equations?Orsimultaneous equations, system of equations Two or more equations to be solved in algebra together (i.e., the solution must satisfy all the equations in the system). To have a unique solution, the number of equations must equal the number of unknowns. A set of simultaneous equations is a finite set of equations for which common solutions are sought. It is also referred to as an equation system or a system of equations. Systems of equations are used to solve applications when there are multiple unknowns and enough information to set up equations in those unknowns. In general, we need enough information to set up n equations in n unknowns if there are n unknowns.Therefore,
Calculation
[tex]5x+y=7.............(i)\\20x+2=y..........(ii)[/tex]
adding equations (i) and (ii)
⇒[tex]5x+y=7-(20x-y=-2)[/tex]
⇒[tex]25x=5[/tex]
⇒[tex]x=\frac{1}{5}[/tex]
putting the value of x in equation (i), we get
⇒[tex]5[/tex]×[tex]\frac{1}{5}+y=7[/tex]
⇒[tex]y=7-1[/tex]
⇒[tex]y=6[/tex]
To learn more about system of equations, refer to
https://brainly.com/question/25869125
#SPJ2
Bicycle A with mass 40 Kg is traveling with a velocity of 4 m/s and Bicycle B with mass 20 Kg is traveling with a velocity of 2m/s. The two bicycles have kinetic energy
Calculate it and state which bicycle has higher energy and why?
Answer:
bicycle A has a greater K.E.
Explanation:
K.E = 1/2mv²
bicycle A = 1/2 × 40 × 4² = 320J
bicycle B = 1/2 × 20 × 2² = 100J
bicycle A has a greater K.E. because it has bigger mass and moves with faster velocity
A ball projected horizontally from 180meter tall building lands 450 meter away from the foot of the building find velocity of the ball after leafs the building find velocity of the ball after it leafs the building
Answer:
74.28 m/s
Explanation:
In this case, it is a zero launch angle in that the object is launched horizontally at a height H.
The formula to apply is:
[tex]R=v_o*\sqrt{\frac{2H}{g} }[/tex]
where
R= range, 450 m
H= height of building ,180 m
g= 9.81
vo= ? initial velocity
Applying the values to the equation;
[tex]450 = v_o*\sqrt{\frac{2*180}{9.81} } \\\\450=v_o*\sqrt{36.70} \\\\450=v_o*6.06\\\\450/6.06 = v_o\\\\74.28 m/s=v_o[/tex]
What weighs more 500 pounds of bricks or 500 pounds of feathers.
Answer:
It's the same........
Answer:
They both the same weight
Andrew walks through his garden and observes that the shapes of dewdrops are not always the same. Suppose he wants to investigate using the scientific method. Which questions are testable questions that he can ask to look into the reasons for the different shapes?
A) Does the shape of the dewdrop depend on the temperature of the surface?
B) Which dewdrop seems to have the most unusual shape?
C) Is the material of the surface responsible for the shape of the dewdrop?
D) Which shape of dewdrop is the most pleasing to the observer?
E) Does the shape of the dewdrop depend on the moisture in the atmosphere?
Answer:
1
Explanation:
What is operating a vocation
Answer:
(I UNDERLINED AND MADE ITALIC THE MOST IMPORTANT INFORMATION) A vocation is an occupation to which a person is especially drawn or for which they are suited, trained, or qualified. Though now often used in non-Latin vocātiō 'a call, summons')religious contexts, the meanings of the term originated in Christianity. (from
Explanation:
A call, summons, or impulsion to perform a certain function or enter a certain career, esp. a religious one. Vocation is defined as a call to do something, especially regarding religious work. The woman's desire to become a nun is an example of vocation. a strong impulse or inclination to follow a particular activity or career. a divine call to God's service or to the Christian life. a function or station in life to which one is called by God: the religious vocation; the vocation of marriage. There are many different types of vocations in today's society. The three significant vocations are, single life, married life, and religious life. Single life is one of the three types of vocation. Definition of Vocation and Career: Vocation is what you strive to do in your life. It is the career you want to be in. Career, on the other hand, is a series of jobs, even change of professions, in a lifetime of an individual. Vocation is literally your "calling", what you are good for or destined for. It usually is a property/talent/predisposition of your person. A mission, in contrast, is a particular task given to you. Even if you are on "a mission from God", there may be retirement from it eventually.
Formed at the boundary of two converging continental tectonic plates is called a Mountain formation
True
False
Answer:
True
Explanation:
At the boundary of two converging continental tectonic plates, a mountain is formed. This is because the collision results in the emergence of mountains.
The density of both plates are nearly similar and lesser than that of the mantle below. This makes the two plates grind together and bulge upward. The Himalaya mountain range is one of such example. In a continental - continental crust collision, mountains are formed.As the grinding continues, the builds upward more and more.
Please help with this! The selected answer is the incorrect one, I'm making corrections.
Answer:
The answer is C-Spin a magnet around the wire on the piece of iron. Hope that helps :)
In a tug of war, when one team is pulling with a force of 80 N and the
other 60 N, what is the net force?
Answer:
The net force is 20N in the direction of the 80N force.
Explanation:
The net force is the resultant force acting on a body. This force is that singular force that will have the same magnitude and effect as the network of forces on a body.
In this problem:
Force 1 = 80N
Force 2 = 60N
Net force = Force 1 - Force 2
Net force = 80N - 60N
Net force = 20N
The net force is 20N in the direction of the 80N force.
The input work done on a machine is 9.63 × 103 joules, and the output work is 3.0 × 103 joules. What is the percentage efficiency of the machine?
Answer:
31.15%
Explanation:
The formula used was
((Work output)/(Work input))×100
Answer:
C. 31.1 percent
How do we define energy efficiency?
A. The ratio of the actual output energy to the input energy
B. The ratio of the power gain to power loss
C. The product of input power and output power
D. The sum of potential and kinetic energy
Answer:
it is b bro that's what it is
A girl is riding her bike at a speed of 12 m/s. She weighs 55 kg and her bike weighs 22 kg. What is the KE of the girl and her bike?
Answer:Kinetic energy of the girl and her bike is 5.544 kJ
Explanation:
Given that a girl is riding bike at speed of 12m/s
Also, mass of Girl is 55kg and mass of bike is 22kg
Let, Total mass of girl and bike be M=22+55=77kg
Now, Kinetic energy is given by K=
Hence, Kinetic energy of the girl and her bike will be
K=
K=
K=5544J
Thus, Kinetic energy of the girl and her bike is 5.544 kJ
(6.2 x 1018m) (4.7 x 10-1°m)
Answer: (6.2 x 10^18m) (4.7 x 10^-10m)
multiply the decimal numbers first: 6.2 x 4.7 = 29.14
multiply the base ten numbers by adding the exponents:
10^18m x 10^-10m = 10^8m
now you have:
29.14 x 10^8m
that's it -- unless you need to write the final answer in scientific notation. If so, you have to adjust the exponent for the base 10 to get:
2.914 x 10^(8m+1)
;)
Explanation:
A pirate fires his cannon parallel to the water but 3.5 m above the water. The cannonball leaves the cannon with a velocity of 120 m/s. He misses his target and the cannonball splashes into the briny deep. How far did the cannonball travel? (please show work)
Answer:
202.8m
Explanation:
Given that A pirate fires his cannon parallel to the water but 3.5 m above the water. The cannonball leaves the cannon with a velocity of 120 m/s. He misses his target and the cannonball splashes into the briny deep.
First calculate the total time travelled by using the second equation of motion
h = Ut + 1/2gt^2
Let assume that u = 0
And h = 3.5
Substitute all the parameters into the formula
3.5 = 1/2 × 9.8 × t^2
3.5 = 4.9t^2
t^2 = 3.5/4.9
t^2 = 0.7
t = 0.845s
To know how far the cannonball travel, let's use the equation
S = UT + 1/2at^2
But acceleration a = 0
T = 2t
T = 1.69s
S = 120 × 1.69
S = 202.834 m
Therefore, the distance travelled by the cannon ball is approximately 202.8m.
In the picture below, label which particle is the solute and which is the solvent
On an ice skating rink, a girl of mass 50 kg stands stationary, face to face with a boy of mass 80 kg. The children push off of one another, and the boy moves away with a velocity of +3 m/s.
What is the final velocity of the girl?
–1.9 m/s
+1.9 m/s
–4.8 m/s
+4.8 m/s
Answer:
Pretty sure its -4.8%
Explanation:
Others asked this question and got this as an answer.
Answer:
C. –4.8 m/s
Explanation:
I just took the exam.
Why does the Moon seem to change shape?
A.
As the Moon revolves
around Earth, different parts are lit by the Sun.
B.
The viewpoint from Earth of the illuminated side of the Moon changes.
C.
Earth's shadow is blocking light from the Sun.
D.
The way the Moon produces light changes, so we see different shapes.
Answer:
A
Explanation:
The food web for a particular ecosystem is shown below.
What would most likely happen if the algae were removed from this ecosystem?
A.
The amount of sunlight would decrease.
B.
The ant population would increase.
C.
The tadpole population would decrease.
D.
The snake population would increase.
Answer:
D
Explanation:
Answer:
The tadpole population would decrease.
Explanation:
A food web shows how organisms produce and depend upon each other for food. In an ecosystem, when the population of one organism changes, it can affect the population(s) of other organisms.
In this food web, tadpoles depend upon algae as a food source. If algae were removed from the ecosystem, then the population of tadpoles would likely decrease due to a lack of available food.
What is a mutual attraction between the nuclei and electrons in two different atoms called?
Find the force of an object is the mass is 2 kg and the acceleration is 5 m/s2.
Answer:
10 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 2 × 5
We have the final answer as
10 NHope this helps you
This graph shows the acceleration of a racehorse taking off from the starting gate. By how much did the horse’s speed increase between 4 seconds and 6 seconds?
Explanation:
This graph shows the acceleration of a racehorse taking off from the starting gate. By 27m/sin horse’s speed increase between 4 seconds and 6 seconds?
plssssssssssssssssssssssss help
Answer:
I think it's b
Explanation:
........
A 4V source is connected across a 2μF capacitor. Find the charge on this capacitor.
Answer: [tex]8[/tex] μc
have: 2μF = [tex]2.10^{-6}[/tex] F
the charge on this capacitor is [tex]2.10^{-6}.4=8.10^{-6}(c)=8[/tex](μc)
Explanation:
Superman stops a "speeding locomotive" of mass 8.0x103 kg in 4.0 seconds. If the train was originally moving at 40.m/s,
a) what is the change in momentum?
b.) What is the magnitude of the force which Superman exerts on the train?
Hello!
a) What is the change in momentum?
The change of the momentum is the velocity, because the velocity is reduced to zero.
We can calculate the aceleration, applicating the formula:
[tex]\boxed{a=\frac{V-Vi}{t} }[/tex]
Like you see, the final velocity will be zero, so:
[tex]a = \dfrac{0m/s-40m/s}{4s}[/tex]
[tex]a = \dfrac{-40m/s}{4s}[/tex]
[tex]a = -10\ m/s^{2}[/tex]
Like you see, the aceleration applicate by superman is of -10 m/s^2.
If the aceleration is negattive, means the velocity will decrease.
b.) What is the magnitud of the force wich superman exerts on the train?
For calculate the force applicate for superman, lets applicate the second law of Newton:
[tex]\boxed{F=ma}[/tex]
Lets replace and resolve it:
F = 8x10^3 kg * (-10 m/s^2)
F = 8000 kg * (-10 m/s^2)
F = -80 000 N
The force applicated is of -80000 Newtons.
When the force is negative means the force applicated in the another direction of the object what is traveling.
An object moving in the +x axis experiences an acceleration of 2.0 m/sec2 This means the object is
Answer:
When we say that an object moving in the +x axis experiences an acceleration of 2.0 m/sec2, it really means the object is increasing its velocity by 2.0 m/s in every second.
Explanation:
As we know that Acceleration is the rate of change of velocity with respect to time, in terms of both speed and direction.
i.e.
a = Δv/Δt
so when we say that an object moving in the +x axis experiences an acceleration of 2.0 m/sec2, it really means the object is increasing its velocity by 2.0 m/s in every second.
Need help immediately please
Which does not represent a change in velocity?
Group of answer choices
A person is riding a bicycle at 4 m/s west and decreases her speed to 3 m/s.
A plane is flying south at 600 km/h and then flies directly upwards before returning to the airport.
A balloon is floating up into the air at 1 m/s.
A bus is traveling west at 2 m/s and then turns a corner.
Answer:
A balloon is floating up into the air at 1 m/s.
Explanation:
Velocity is the displacement divided by the time;
Velocity = [tex]\frac{displacement}{time}[/tex]
It is a vector quantity that has magnitude and direction.
The choice that shows a change in direction is a correct specification of velocity.
A balloon floating up into the air at 1m/s shows no directional change.
I NEED HELP WITH THIS ASAP!!! Wet Lab - Coulomb's Law lab from edge!!
Answer:
Srry for the delay but this might help ppl in the future
Explanation:
PEACE OUT!
A friend tells you she is having trouble sleeping and feels really stressed. What lifestyle change would you suggest to reduce these problems?
Answer: I personally recommend less screen time. As the Hollidays are approching, maybe spend time hanging decorations or going on hikes.
Explanation:
Answer:
1. Ask her if there's anything going on in her life that she would like to talk to you about.
2. Make sure she drinks lots of water and eats the right amount of food. Not treating your body right will mostly make you feel stressed.
3. Make sure she's staying active. Staying indoors, watching TV 24/7 with the doors closed, and over-eating is very unhealthy. Germs can also build-up and cause infections which would lead you to feel uneasy.
4. And most importantly, make sure she's not in a rocky relationship.
If a dog ran at 5m/s,how far would it run in 45 s?
Answer:
225 meters
Explanation:
45*5 or 225 meters.
Hope this helps plz hit the crown :D
A string of length 4m is extended by 0.02m, when a load of 0.4kg is suspended at its end. What will be the length of the string, when the applied force is 15N
Answer:
ima have to say c
Explanation:
or A or B or D choose ur best answer