Given :
A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj .
To Find :
A. The vector position of the particle at any time t .
B. The acceleration of the particle at any time t .
Solution :
A )
Position of vector v is given by :
[tex]d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j[/tex]
B )
Acceleration a is given by :
[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j[/tex]
Hence , this is the required solution .
What is the substitution for the equation
Answer:
[tex]y=3x[/tex] (Equation 1)
[tex]y=x-2[/tex] (Equation 2)
We can substitute Equation 1 into Equation 2 like so:
[tex]y=x-2[/tex]
[tex]3x=x-2[/tex]
Subtract x from both sides:
[tex]2x=-2[/tex]
Divide both sides by 2:
[tex]x=-1[/tex].
Substitute [tex]x=-1[/tex] into Equation 1 to find y:
[tex]y=3x[/tex]
[tex]y=3(-1)[/tex]
[tex]y=-3[/tex]
How many tens are in 700?
Answer:
70
Step-by-step explanation:
700 / 10 = 70
Answer:
70
Step-by-step explanation:
700 ÷ 10 = 70
Put these numbers in order from least to greatest.7, -2/25, 14/40
i am pretty sure it is -2/25, 14/40, 7
Step-by-step explanation:
Answer:
-2/25 , 14/40 , 7
Step-by-step explanation:
change the to decimals to see which one is the lowest and the biggest
2/3 + 1/4
Answers should be in the format 5/2 or 2/5 no decimals or mixed numbers
Answer:
11/12
Step-by-step explanation:
2/3+1/4
8+3/12
=11/12
Talia took the bus from her home to the bank and then walked back to her home along the same route. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. To determine the time, x, that it took Talia to walk home, she used the equation 40(0.9 – x) = 5x. The time of Trip 2 is how many hours. The distance of Trip 1 is how many km.
Answer:
time = .8 hours distance = 4km
Step-by-step explanation:
Answer:
The First on is 0.8 hours
The seconded one is 4 km
9 - 10x = 2x + 1 - 8x
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]9 - 10x = 2x + 1 - 8x[/tex]
[tex]9-10x=-6x+1[/tex]
Subtract 9 from both sides:
[tex]9-10x-9=-6x+1-9[/tex]
[tex]-10x=-6x-8[/tex]
Add 6x to both sides:
[tex]-10x+6x=-6x-8+6x[/tex]
[tex]-4x=-8[/tex]
Divide both sides by -4:
[tex]\frac{-4x}{-4}=\frac{-8}{-4}[/tex]
[tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
9-10x = 2x+1-8x
1. move all like terms to one side
-10x-2x+8x = -9+1
2. simplify
-4x = -8
3. divide the -4 from both sides of the equation
x= -8/-4
4. x=2
Help me on this one
In the diagram, line p is parallel to line q.
(2x-11)
48•
73"
What is the value of x and y? Show all work to receive full credit for this response. You can
include work in this box or attach in the next question.
Answer:
2x-11=73
2x=73+11
2x=84
x=84/2
x=42
again,
y=48
What is the value of x in the equation 8x – 2y = 48, when y = 4?
EOF
6
7
O OG
14
48
Solve the system of equations using any method.
-3x - 18y - 3z = 0
X + 6y +z = 8
-2x - 12y – 2z = -30
Select the solution to the system of equations.
A
(1,6,1)
(0,8,-30)
no solution
(-3,1,-2)
Answer:
Step-by-step explanation:
2x + 12y + 2z = 8
-2x - 12y - 2z = -30
0 ≠ -22
no solution
How old am I if 400 reduced by 3 times my
age is 229?
Answer:
57 years old
Step-by-step explanation:
400 - 3x = 2293x = 171x = 57400 - 171 = 229in the figure below what is the value of x
Lmk ASAP
Step-by-step explanation:
ANSWER:-We know that:-
Angle sum property if Triangles tells us that sum of angles of a triangle is equal to 180°.
So, First, we will find the third inner angle.
[tex]180 = y + 93[/tex]
[tex]y = 87[/tex]
Now, let us find x.
[tex]62 + 87 + x = 180[/tex]
[tex]149+ x = 180[/tex]
[tex]x = 31[/tex]
So, 31° is the answer. (c)
I'm not sure what is 89•86/2
the answer is 3827
both multiplied and simplified.
Hey there!
[tex]Answer:\boxed{3827}[/tex]
[tex]Explanation:[/tex]
[tex]89*\frac{86}{2}[/tex]
[tex]89*\frac{86}{2}=3827[/tex] Multiply and find the answer
[tex]3827[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
The 12.6 oz bottle
Step-by-step explanation:
0.19/oz for the 12.6 oz
0.21/oz for the 25.3 oz
The size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.
Let the unit price be x:
= 0.19/oz for the 12.6 oz
x = 0.21/oz for the 25.3 oz
Thus, the size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Simplify the expression: –3(–7 + 3z)
Hey there! I'm happy to help!
We want to multiply each term inside the parentheses by the number on the outside.
-3(-7)=21
-3(3z)=-9z
Therefore, our expression is 21-9z.
Now you know how to use the distributive property! Have a wonderful day! :D
How were the planets in the solar system formed?(1 point)
They developed from the dust that gravity attracted from distant galaxies.
They formed from material remaining after the sun's formation clumped together by gravity.
They came from the gas that the sun released and gravity pulled far away.
They were forced out of the central disc by the gravity that formed the sun.
Answer:
The various planets are thought to have formed from the solar nebula, the disc-shaped cloud of gas and dust left over from the Sun's formation. The currently accepted method by which the planets formed is accretion, in which the planets began as dust grains in orbit around the central protostar.
Step-by-step explanation:
Our solar system formed about 4.5 billion years ago from a dense cloud of interstellar gas and dust. The cloud collapsed, possibly due to the shockwave of a nearby exploding star, called a supernova. When this dust cloud collapsed, it formed a solar nebula—a spinning, swirling disk of material.
Answer:
The remaining materials from the sun's formation clumped together due to gravity.
Step-by-step explanation:
what is -3 5/6 - 2 3/4
Answer: -6 7/12 hope this helps
Step-by-step explanation:
What is the mean what is the mean for 35, 40, 12, 16, 25, 10
Answer:
Mean=23Step-by-step explanation:
Mean = Sum of all values/ total no of values
There are six numbers .
Mean =
[tex]\frac{35+40+12+16+25+10}{6} \\\\= \frac{138}{6} \\\\=23[/tex]
Answer:
[tex]\boxed {\tt 23}[/tex]
Step-by-step explanation:
The mean can be found by adding all the values together and dividing by the number of values.
1. Add the values
The values are: 35, 40, 12, 16, 25, 10 Add them: 35+40+12+16+25+10=1382. Divide by the number of values
Count how many numbers are in the set of data. There are 6 values. Divide 138 by 6.
138/6=23The mean of the data set is 23.
Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.
Answer:
35% discount
Step-by-step explanation:
We can first find what percent of 32 20.80 is.
This can be shown by using a percent proportion.
[tex]\frac{20.80}{32} = \frac{x}{100}[/tex]
We can cross multiply to find the value of [tex]x[/tex].
[tex]20.80\cdot100=2080\\\\2080\div 32 = 65[/tex]
So 20.80 is 65% of 32.
However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.
[tex]100 - 65 = 35[/tex]
So the book was on a 35% discount.
Hope this helped!
what is 5+10+10+5. Please explain
Answer: 30
Step-by-step explanation:
5+5 = 10
10 + 10 = 20
10 + 20 = 30
Hope this helps
Plz mark brainliest
Answer:
5 + 10 + 10 + 5 = 25
Step-by-step explanation:
because if you add them all up that is what you will get
A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many miles
must be driven in a day to make the rental cost for Company A a better deal than Company B's?
For Company A to have a better deal, the truck must be driven more than miles per day
Answer:
The charges of both companies will be same if truck is driven 200 miles per day
Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B
Step-by-step explanation:
Let the truck is driven X miles per day
Charges of company A will be = 90+0.4X
Charges of company B will be =30+0.7X
Let us find out value of X when charges of both companies are same
which means that 90+0.4 X= 30+0.7X
90-30 = 0.7X-0.4X
60 = 0.3X
60/0.3 = X
X= 200
Answer:
200 miles
Step-by-step explanation:
hope this helps :)
PLSSSS HELPP ASSPPPP!!!!
Answer: 1 to 1.5
Step-by-step explanation:
3 divied by 2 = 1.5
Help best answer gets brainliest.
Answer:
100 kilometers
Step-by-step explanation:
In order to answer this question, we are going to have to do some multiplication, division, and conversion! To get started, we have to multiply 20 cm by 500,000 to expand the distance to full-scale:
20 * 500,000 = 10,000,000
This is how many centimeters (cm) are between the towns. Now, we have to convert this into kilometers (km). There are 100,000 centimeters in a kilometer, so to convert we have to divide 10,000,000 cm by 100,000:
10,000,000 / 100,000 = 100
Our answer is 100 kilometers.
Hope this helps! :)
Approximate the amount of tip for the florist by rounding the cost and the percent gratuity to the nearest ten.
Answer: Is 9
Step-by-step explanation:
Answer:
the answer is 9
Step-by-step explanation:
hope that helps you: )
someone help me i don’t know how to do this please help me
Answer:
b.29
Step-by-step explanation:
Answer: its ok
Step-by-step explanation:
what is the measure of
Answer:
There is no picture
Step-by-step explanation:
Jamir is training for a race and is running laps around a field. If the distance around the field is 275 yards,
how many complete laps would he need to do to run at least 3 miles?
Answer:
19.2
Step-by-step explanation:
1 mile is 1760 that times 3 equals 5280 divided by 275 = around 19.2
What is the midpoint of a segment with endpoints at(-4,-8) and (8, 10)?
Answer:
The answer is
( 2 , 1)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4,-8) and (8, 10)
The midpoint is
[tex]M = ( \frac{ - 4 + 8}{2} , \: \frac{ - 8 + 10}{2} ) \\ = ( \frac{4}{2} , \frac{2}{2} )[/tex]
We have the final answer as
( 2 , 1)Hope this helps you
Miles has 25 coins in his pocket. Some are nickels and some are dimes. He has a total of $1.65. How many of each type of coin does he have? Let x represent _____________________________ Let y represent _____________________________ System: _____________________ _____________________ Solution: x = ____________ y = ____________
Answer: 17 nickels, and 8 dimes.
Step-by-step explanation:
So Miles has 25 coins in his pocket, Suppose that x is the number of nickels, and y is the number of dimes, then we have that:
x + y = 25
And we also know that the total value is $1.65
Then we have that:
x*0.05 + y*0.10 = 1.65
Then we have a system of equations:
x + y = 25
x*0.05 + y*0.10 = 1.65
The first step is isolating one of the variables in one of the equations, i will isolate x in the first one.
x = 25 - y
Now we can replace that in the second equation:
(25 - y)*0.05 + y*0.10 = 1.65
Now we solve this for y.
25*0.05 - y*0.05 + y*0.10 = 1.65
1.25 + y*(0.10 - 0.05) = 1.65
y*0.05 = 1.65 - 1.25 = 0.40
y = 0.40/0.05 = 8
So Miles has 8 dimes.
And:
x + y = 25
x + 8 = 25
x = 25 - 8 = 17
And Miles has 17 nickels.
What is the range of this exponential function y=9^×+2
Answer4/8 x 69
Step-by-step explanation:
You add Tekashi
