Step-by-step explanation:
Kinetic Energy (K. E) = 25 J
Mass ( m) = 2 kg
Velocity or speed (v) = ?
We have the formula that
[tex]ke \: = \frac{1}{2} m {v}^{2} \\ or \: 25 = \frac{1}{2} \times 2 \times {v}^{2} \\ or \: 25 = {v}^{2} \\ or \: {5}^{2} = {v}^{2} \\ therefore \: v \: = 5 \: m |s[/tex]
it's speed is 5 m/s .
Hope it helps. :)
The speed of the body is 5 m/s
Applying the formular of kinetic energy
Kinetic energy: This can be defined as the energy posses by a moving body or that depends on the speed of a body.
The formular for kinetic energy is
E = mv²/2.................... Equation 1
Where E = Kinetic energy of the body, m = mass of the body, v = veocity/ speed of the body.
make v the subject of equation 1 above
v = [tex]\sqrt{2E/m}[/tex]................ Equation 2
From the question,
Given: E = 25 J, m = 2 kg
Substitute these values into equation 2
v = [tex]\sqrt{2*25/2}[/tex]
v = [tex]\sqrt{50/2}[/tex]
v = [tex]\sqrt{25}[/tex]
v = 5 m/s.
Thus, the speed of the body is 5 m/s
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The sum of the angle measures a polygon with n sides is 720. What is n?
The polygon has 6 sides.
What is a polygon?
'A polygon, in geometry is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.'
According to the given problem,
Sum of measures of angle = 720
We know,
Sum of interior angles of polygon = 180( n - 2 )
Where, n = number of sides.
⇒ 180( n - 2 ) = 720
⇒ n - 2 = 720/180
⇒ n - 2 = 4
⇒ n = 6
Hence, we can conclude that the polygon has 6 sides.
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#SPJ2
The parking lot charges 75 cents for each half hour or part of a half hour. If Edie parks her car in the lot from 10:45 am until 1:05 pm, how much money will she pay?
Answer:
she will pay $3.75
Step-by-step explanation:
If the edge of a square measures 3x, which expression represents the perimeter?
A) 12x B) 3x + 4 C) 6x D) 6x2
Answer:
A
Step-by-step explanation:
3x × 4 =12x
Mark me brainliest pls
and thank me
Answer:
I think it is A
Step-by-step explanation:
Hope this helped have an amazing day!
If we subtract half of a number from 20, we get 10, then the number equals; a) -20 b) 60 c) 20 d) -60
Answer:
Step-by-step explanation:
let the number be x
20-x/2=10
40-x=20
40-20=x
x=20
i need help please i need a answer
Answer:
5
Step-by-step explanation:
Given
28.95 + 34.05b ≤ 200 ( subtract 28.95 from both sides )
34.05b ≤ 171.05 ( divide both sides by 34.05 )
b ≤ 5.02349..
Thus 5 black inks were purchased
what is the y = mx + b form of x - 3y = 6
Step-by-step explanation:
x - 3y = 6
3y = x - 6
y = 1/3 x - 2.
Here m is 1/3 and b is -2.
As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it. The rate at which she is LOSING gas is 1.25 gallons....So, the slope is -1.25. How many gallons did she have to START?
Answer:
8.50 gallons of gas.
Step-by-step explanation:
The slope in this scenario is -1.25 gallons per mile, this means that for every mile that Evin drives she is wasting 1.25 gallons of gasoline. Since she only drove 1 hour at the begining and after that hour her tank had 7.25 gallons, then we can simply add 1.25 gallons to her tank at this moment to make up for the 1 hour she drove and that would give us the total amount of gas she had before she started driving.
7.25 + 1.25 = 8.50 gallons of gas.
Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the amount of gallons left after x hours.
She notices that after 1 hour her gas tank has 7.25 gallons left. Hence:
7.25 = m(1) + b
m + b = 7.25 (1)
After 4 hours of driving, it has 3.5 gallons of gas left in it. Hence:
3.5 = 4(m) + b
4m + b = 3.5 (2)
Solving equations 1 and 2 simultaneously gives m = -1.25, b = 8.5
Hence Evin was losing gas at a rate of 1.25 gallons per hour and she started with 8.5 gallons.
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please help... my teacher makes me do this thing called mathspace and im due 5 tasks can you help me with this question.
A bag of manure weighs $110kg. If the weight of the bag increases by $30% find the new weight of the bag.
Answer:
143 kg
I'm not sure but I think this is correct
Step-by-step explanation:
Eighteen is six less than four times a number. (write and solve the equation - use x as your variable) *
Answer:
x = 6
Step-by-step explanation:
The given statement is "Eighteen is six less than four times a number".
Let the number be x.
ATQ,
18 = 4x-6
Taking like terms together,
18+6 = 4x
24 = 4x
x = 6
Hence, the value of x is 6.
One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
Answer:
21 feet
Step-by-step explanation:
To solve this question, we would be using the proportion
Shadow /Height
From the question:.
Manny's shadow = 414 feet
Manny's Height = 512 feet
Height of the tree = ? = x
Shadow of the tree = 17 feet
Hence:
414/512 = 17/ x
Cross Multiply
414 × x = 512 × 17
x = 512 × 17/414
x = 21.024154589 feet
x ≈ Approximately = 21 feet
The height of the tree = 21 feet
The height of the tree is 21 feet.
Given that,
Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be xBased on the above information, the calculation is as follows:
[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]
x = 21.02
= 21 feet
Therefore we can conclude that the height of the tree is 21 feet.
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The ratio of cherry candies to grape candies in a bag is 3:5. After your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. How many candies are left in the bag?
Answer:
65
Step-by-step explanation:
The computation of the number of candies left in the bag is as follows:
Let us assume the cherry candies be c ;
And, grape candies be g
Now the ratio between them is 3:5
And, in the case when half of the candies are eaten and one cherry is also eaten so the ratio is
(c - 1) ÷ (g ÷ 2) = 7 ÷ 6
After subsitution
It would be
(3 ÷ 5g - 1) ÷ (g ÷ 2) = 7 ÷ 6
Now after solving it,
g = 60
And, the c = 35
As the candies are half so it would be 30 now
So, the number of candies together is
= 35 + 30
= 65
Find the y intercept of the line 1x -4y = -4
Answer:
(0,1)
Step-by-step explanation:
Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n=
4
1
n, equals, start fraction, 1, divided by, 4, end fraction.
9514 1404 393
Answer:
8
Step-by-step explanation:
Apparently, you want to evaluate ...
0.1m +8 -12n
for m = 30 and n = 1/4.
Put the numbers where the corresponding variables are and do the arithmetic.
= 0.1×30 +8 -12×(1/4) = 3 + 8 -3
= 8
“[The city’s engineers excelled in areas] neglected by the Greeks, such as the construction of roads and aqueducts, and of sewers that could wash the filth of the city into the Tiber. They have built paved roads throughout the country, leveling ridges and filling up hollows, so as to make possible the movements of heavily loaded wagons. . . . And such is the quantity of water brought in by the aqueducts, that veritable rivers flow through the city and its sewers: almost every house has cisterns, waterpipes, and copious fountains.”
—Strabo, as quoted in
Empires Ascendant: Time Frame 400 B.C.–A.D. 200
What area of engineering did the Greeks neglect?
a.
buildings
c.
monuments
b.
roads
d.
arches
Please select the best answer from the choices provided
A
B
C
D
Answer:
the greeks neglected roads
b. roads
Answer:
B. roads
Step-by-step explanation:
The other person got it correct
At a day care center a researcher asks children to list their five favorite toys from most favorite to least favorite. What level of measurement is represented in this example
Answer:
Ordinal
Step-by-step explanation:
The ordinal measurement level means the arrangement of the number so that it could tell the position of something in the list
Since in the question it is mentioned that the day care center ask the children for listing their five favorite toys and the arrangement could be done from most favorite to least favorite
So this represent the ordinal measurement level
HELP!Please answer these for me?:)))
Answer:
You didn’t explain what we had to do....
Step-by-step explanation:
I’m not really sure...I’m sorry
an auctioneer charges 8% for a house if the house is sold at 230500 find the charge of the auctioneer
Answer:
230500×100/8= 2881250
An artist wants to make an elliptical sign out of a rectangular piece of wood. The wood piece has a length of 60 inches and a width of 40 inches. The artist wants to make the largest elliptical piece possible from the wood.
Answer:
Step-by-step explanation:
The question doesn't seem complete, but the question is likely to ask for 2 things: the equation of the ellipse and it's foci. So I'll respond to that. Also, the ellipse will be at the center since the artist wants the largest.
Firstly, the equation of an ellipse at the center is given by:
(x²/a²) + (y²/b²) = 1 where a > b.
Since the artist wants to make the largest ellipse, then the length of the rectangle will be the length of the ellipse, same applies to the width.
Since the length is 60, then a = 60/2 = 30
Since the width is 40, then b = 40/2 = 20
Therefore, the equation of the ellipse is:
(x²/30²) + (y²/20²) = 1
To find the foci we need to know the center and this can be gotten by
c² = a² – b²
c² = 30² – 20² = (30 + 20)(30 – 20) = (50)(10) = 500
c = √(500) = 10√(5).
The foci, since it's at th center would be:
(–10√(5), 0) and (+10√(5), 0)
The largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)
What is the equation of ellipse if its major and minor axis are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]
For this case, as we have rectangular piece of board the maximum ellipse will have it's major axis of length 60 inches, and of minor axis as 40 inches.
Thus, we have:
[tex]a = 60/2 = 30\: \rm inches\\b = 40/2 = 20 \: inches[/tex]
Thus, if the rectangle is placed such that the major axis is on x-axis, and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{30^2} + \dfrac{y^2}{20^2} = 1\\\\\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex]
Thus, the largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)
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Kent has a $20 gift certificate for the
pet store. He chooses 2 angelfish
that each cost $3.45 and 3 clownfish
that each cost $4.82.
If he uses his gift certificate, how
much money will he need to pay?
Answer:
let a be the number of angles is using the ratio of clownfish we can write the proportion
Step-by-step explanation:
cross multiply Zane divide both sides by 5 so there are 48 Angle Fish
for the Goldfish cross multiply or divide both sides by 4 so there are 36 goldfish
bla nnn,,,,,,bs jfbjnf msnjkmfe sjnmf cmmnefnmv fcve
Answer:
Ummmmm ehhhhhh
I need points for a hw
Don claims that the trianlges are congruent by SAS triangle congruence criterion because a sequence of rigid motions carries \triangle ABC△ABC onto \triangle DEF△DEF. Select all that can be used to support Don's claim.
A -a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AC.
B- a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AB.
C- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AC.
D- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AB.
Answer:
The triangles would match if you chose D
Express (x + 5)^2 as a trinomial in standard form.
Answer:
Ste(x−5)2=x2−10x 25
step-by-step explanation:
The standard form of a polynomial in one variable is a sum of terms in decreasing order of degree.
For brevity, terms with negative coefficients are usually written as subtractions rather than adding the additive inverses. That is, we would write
x
2
−
3
x
+
2
rather than
x
2
+
(
−
3
)
x
+
2
In order to express
(
x
−
5
)
2
in standard form, we need to multiply it out, combining terms of like degree. We can use the FOIL mnemonic to help:
(
x
−
5
)
2
=
(
x
−
5
)
(
x
−
5
)
(
x
−
5
)
2
=
First
(
x
)
(
x
)
+
Outside
(
x
)
(
−
5
)
+
Inside
(
−
5
)
(
x
)
+
Last
(
−
5
)
(
−
5
)
(
x
−
5
)
2
=
x
2
−
5
x
−
5
x
+
25
(
x
−
5
)
2
=
x
2
−
10
x
+
25
Alternatively, we can recognise a pattern and use it.
For example:
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
So we could take the second of these and put
a
=
x
,
b
=
5
to find:
(
x
−
5
)
2
=
x
2
−
2
(
x
)
(
5
)
+
5
2
(
x
−
5
)
2
=
x
2
−
10
x
+
25
The standard form is: [tex]x^2+10x+25[/tex].
We expand the given expression.
[tex](x + 5)^2\\=x^2+2(x)(5)+5^2\\=x^2+10x+25[/tex]
So the standard form is: [tex]x^2+10x+25[/tex].
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PLSS HELPPPP MEE ITS DUE TMRW
Answer:
the turning point is (-2,-1)
i dont know the turning point but i hope this helps
Step-by-step explanation:
Answer:
a) (-2 , -1)
b) (-1 , 0) and (-3 , 0)
Step-by-step explanation:
For part a)
We can find the coordinates of the turning point by seeing at the graph where it turns the other way or in simpler words the axis of symmetry so if see the graph the axis of symmetry is the line x = -2 so that means the turning point is (-2 , -1).
For finding the turning point mathematically we compare the equation to its standard form which is:
[tex]x^2+4x+3=a(x-h)^2+k[/tex]
where h is the x coordinate and k is the y coordinate of the turning point of the equation (h , k) = (x , y).
so just solve the left side,
[tex]a(x-h)^2+k\\a((x)^2-2(x)(h)+(h)^2)+k\\a(x^2-2xh+h^2)+k\\\\ax^2-2ahx+ah^2+k=x^2+4x+3\\[/tex]
and so we compare the coefficients of x^2 on the right and left side we get
[tex]a=1[/tex]
if we compare the coefficients of x on the right and left side we get
[tex]-2ah=4\\-2(1)h=4\\-2h=4\\h=\frac{4}{-2}\\\\h=-2[/tex]
now we compare the constants on the right and left side we get
[tex]ah^2+k=3\\(1)(-2)^2+k=3\\(1)(4)+k=3\\4+k=3\\k=3-4\\k=-1[/tex]
so the turning point is (-2 , -1) proven mathematically and graphically as well
For part b)
Roots of the equation are also called as x-intercepts which means where the graph intersects/cuts the x-axis so if see the graph it cuts the x-axis at 2 points firstly at -3 and then at -1 so the roots of the equation would be (-1 , 0) and
(-3 , 0) the y coordinate is zero when the points lies on the x-axis.
for mathematically solving the equation we would equate the equation to zero
[tex]y=x^2+4x+3\\x^2+4x+3=0[/tex]
Now solve it by either factorizing or by using the quadratic formula we would get two values for x those are the roots of the equation
we solve it by factoring
[tex]x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+3)(x+1)=0\\x=-3\ ,\ x=-1\\[/tex]
proven mathematically as well as graphically.
i need help i don’t understand
1 2/3 yards of chain cost 9.00.
How much money for 1 yard
Alright nevermind, imma delete this answer.
Answer: $5.40
Step-by-step explanation:
1 and 2/3 yards costs $9
5/3 yards costs $9 <--- changes 1 and 2/3 to improper
5 * 1/3 yards costs $9 <---- 5/3 = 5 * 1/3
1/3 yard costs $9/5 = $1.80 <--- divides the ratio by 5
1 yard costs $1.80 * 3 = $5.40
Which of the following are types of variations?
Direct
Inverse
Variable
Combined
Joint
Step-by-step explanation:
There are many different types of variations as follows:
1) Direct variations in which the relationship between two different variables is direct.
2) Inverse variations in which the relationship between two different variables is opposite.
3) Joint variations in which the relationship between one variable varies directly with the product of two or more variables.
4) Combined variations in which one variable is directly proportion to second variable but inversely proportion with third variables.
option 'A', 'B', 'D' , 'E' are correct.
Q2) Tyler deposited $300 into his bank account. He then wrote a check for
$150. How much money is in his account now?
Answer:
150
Step-by-step explanation:
300-150
1. Parallelogram ABCD shown below, the bisectors of ZABC and ZDCB meet at E, a point on AD
B
A
E
D
If mZA = 68º, determine and state mZBEC.
. The table below shows a relationship between x and y. x y -2 -5 0 1 2 7 4 13 Which of the following equations best represents this relationship? y = 3x + 1 y = 3x - 1 y = -2x - 5 y = x + 1
Answer:
the answer is B
Step-by-step explanation:
your welcome
Answer:
y=3x-17
Step-by-step explanation:
Find the area. Simplify your answer.
3x
7
Answer:
21x?
Step-by-step explanation:
I think so
