Answer:
A car parked on a hill, A raised weight, A snow pack.
Step-by-step explanation:
To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.
Three examples of objects that have potential energy are, a child at the top of the seesaw in play-ground, water in dam, rock kept at some finite height of hill.
What is Potential Energy ?
The energy possessed by a body due to its position or configuration is known as potential energy. when an object is at rest, velocity is equal to zero, thus velocity of the object doesn't contribute to potential energy, it only depends upon gravitational constant "g", height h of the object above the Earth's surface and mass m of the object.
The basic formula to determine the Potential Energy possessed by the body is given by :
P.E = mgh
examples of objects that are having potential energy are :
1) a child at the top of the seesaw in play-ground.
2) water in dam.
3) rock kept at some finite height of hill.
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Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5x-4+3x=36[/tex]
Combine like terms:
[tex]8x-4=36[/tex]
Add 4 to both sides. The left side cancels:
[tex](8x-4)+4=(36)+4\\8x=40[/tex]
Divide both sides by 8:
[tex](8x)/8=(40)/8\\x=5[/tex]
Thus, the value of x is 5.
Answer:
The value of x=5
Step-by-step explanation:
1) 5x-4+3x=36
2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40
3) (Combine like terms, 5x and 3x) 8x=40
4) (Solve: divide each side by 8) x=40
5) answer: 5
I hope this helps let me know if I am wrong and good luck
Can someone please help me with 1-9 Sorry 25 points is all I have
Answer:
see below
Step-by-step explanation:
5.
VW = 4x - 20
UW = 6X - 35
UV = 19
find x to get UW
UV + VW = UW
19 + 4x - 20 = 6x - 35
x = 17
VW = 4(17) - 20
VW = 48
UW = 6(17) - 35
UW = 67
----------------------------------------------------
6.
HJ = 7x - 27
HI = 3x - 5
IJ = x - 1
find the value of x
HI + IJ = HJ
3x - 5 + x - 1 = 7x - 27
x = 7
----------------------------------------------------
7.
BC = 4x - 29
CD = 5x - 9
BD = 7x - 10
find each value
BC + CD = BD
4x - 29 + 5x - 9 = 7x - 10
x = 14
BC = 4(14) - 29
BC = 27
CD = 5(14) - 9
CD = 61
BD = 7(14) - 10
BD = 88
----------------------------------------------------
8.
BD = BC
BD = 5x - 26
BC = 2x + 1
AC = 43
find AB
BD = BC
5x - 26 = 2x + 1
x = 9
AB + BC = AC
AB + 2(9) + 1 = 43
AB = 24
----------------------------------------------------
9.
LK = MK
LK = 7x - 10
KN = x + 3
MN = 9x - 11
KJ = 28
find LJ
MK + KN = MN
7x - 10 + x + 3 = 9x - 11
x = 4
KJ + LK = LJ
28 + 7(4) - 10 = LJ
LJ = 46
2z-1= -9+ z i need the answer RIGHT NOW
Answer:
z = -8
Step-by-step explanation:
I'm guessing you want to find out what z is equal to, so here you go.
2z - 1 = -9 + z
2z = -8 + z
z = -8
Answer:
z = -8
Step-by-step explanation:
let's simplify the equation by getting the like terms together.
2z-1 = -9+z
first get the z's on the same side:
2z-z-1 = -9
z-1 = 9
then the constants:
z = -9+1
z = -8
I really need some help! I'm really bad with mathematics/geometry! Given paralleogram ABCD≅parallelogram EFGH, which congruency statement is true? A. ∠B≅∠E B. BC≅GH C. ∠C≅∠G D. AD≅EF
Answer:
C
Step-by-step explanation:
The congruency statement ∠ C ≅ ∠ G is the only true statement.
So option C is the correct option.
Given,
parallelogram ABCD ≅ parallelogram EFGH
We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.
The given options are:
A. ∠B≅∠E
B. BC≅GH
C. ∠C≅∠G
D. AD≅EF.
What are parallelograms and their properties?It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.
Properties of a parallelogram :
- The opposite sides are parallel and congruent.
- The opposite angles are equal.
- The consecutive angles are supplementary.
- If any one of the angles is a right angle, then all the other angles will be at
a right angle.
- The two diagonals bisect each other.
So if we compare two parallelograms the above properties are congruent.
Let's draw the two parallelograms ABCD and parallelogram EFGH.
A____________ B E____________F
\ \ \ \
\ \ \ \
\ \ \ \
D_____________C. H____________G
The following are congruent:
AB≅EF
BC≅FG
CD≅GH
AD≅EH
∠ A ≅ ∠ E
∠ B ≅ ∠ F
∠ C ≅ ∠ G
∠ D ≅ ∠ H
Checking the above congruent we see that we have ∠ C ≅ ∠ G in the given option.
Thus, ∠ C ≅ ∠ G is the only correct option.
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find the slope of a line perpendicular to y= -6x+4
Answer:
-6Step-by-step explanation:
y= -6x+4 is in y=mx +b
[tex]y= -6x+4 \\Slope =m = -6[/tex]
Simplify the expression (0.4)^3.
A. 0.64
B. 1.2
C. 12
D. 0.064
Answer:
Step-by-step explanation:
(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064
the answer is D
3(x - 2) = 18
what is the solution?
Answer: x=8
Step-by-step explanation:
3(x-2) =18
3(8-2) =18
24-6 = 18
18 = 18
What is the simplest form of 4^square root of 13 times 4^square root of 13 times 4^square root of 13?
Answer:
[tex]832 \sqrt{13} [/tex]
Step-by-step explanation:
This question means
[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]
Lets solve it in simplest way
[tex](4 \sqrt{13} {)}^{3} [/tex]
[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]
[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]
[tex]64 \times 13 \times \sqrt{13} [/tex]
[tex]832 \sqrt{13} [/tex]
I hope u like it ❤️
cooment me for any question
A manufacturer of tennis balls has a daily cost of C(x) = 200 − 10x + 0.01x
2
, where C(x) is the
total cost in dollars and x is the number of tennis balls produced. The manufacturer has to
produce between 1500 and 3000 balls. What number of tennis balls will produce the minimum
cost?
Answer:
1000 tennis balls will produce the minimum cost
Step-by-step explanation:
Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]
Where C(x) is the total cost in dollars
x is the number of tennis balls produced
We are supposed to find number of tennis balls will produce the minimum
cost.
Lead coefficient = 0.01
The lead coefficient is positive, the parabola opens up.
Thus ,the minimum is at the vertex.
[tex]x=\frac{-b}{2a}[/tex]
So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]
Substitute the value of x in given equation:
C(x)=200-10(1000)+0.01(1000)^2
C(x)=200
Hence 1000 tennis balls will produce the minimum cost
PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS
Q1
Answer:
[tex]x \leqslant \frac{5}{3} [/tex]
Step-by-step explanation:
[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]
explanation for second step:
you divide each side by 3 to get rid of the '3' in '3x'
can anyone help me out with this? If possible, please do all of them
Answer:
this is all I could find
The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?
Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
(-3) + (+1) =
steps of solving
Answer:
-2
Step-by-step explanation:
Opening brackets,
-3+1=-2
Answer:
-2
Step-by-step explanation:
3 - 1 = 2
so it's basically adding 1 to the -3 so it would be -2
The outside temperature is -13 degrees. The temperature drops by 9 degrees, but then increases by 16 degrees. What is the final temperature outside? *
Answer:
The final outside temperature = -6°
Step-by-step explanation:
GIven that :
the outside temperature = -13°
The temperature drops by 9°
But then increases by 16°.
The final temperature can be expressed as:
the outside temperature - temperature drop
= -( 13° - 9°)
= - 22°
it is said that the temperature later increase by 16°
∴ - 22° + 16°
= -6°
The final outside temperature = -6°
Which number has a 2 with a value ten times less than the 2 in the number 725,983?
Answer:
"Which number has a 2 with a value ten times less than the 2 in the number 725,983?"
First, the value of the 2 in the number 725,983 can be find by separatig each digit as:
725,983 = 700,000 + 20,000 + 5,000 + 900 + 80 + 3.
Then the value of the 2 is: 20,000.
Now we want a number that has a 2 with a value then times less than 20,000.
this is:
20,000/10 = 2,000.
Then we want a number that has a 2 in the thousands place.
For example, 132,000 is a number that can be an answer, the only thing you need is that the 2 is in the thousands place (the fourth digit counting from the right)
If AC = 14, find the value of x. Then find AB and BC.
Your question is incomplete; However, a similar question is:
If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.
This should serve as a guide
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]AB = x[/tex]
[tex]BC = 2x + 2[/tex]
[tex]AC =14[/tex]
Required
Determine x, AB and BC.
Since B is between A and C;
[tex]AB + BC = AC[/tex]
Substitute x for AB; 2x + 2 for BC and 14 for AC
[tex]x + 2x + 2 = 14[/tex]
[tex]3x + 2 = 14[/tex]
Collect Like Terms
[tex]3x = 14 - 2[/tex]
[tex]3x = 12[/tex]'
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in
[tex]AB = x[/tex]
[tex]BC = 2x + 2[/tex]
[tex]AB = 4[/tex]
[tex]BC = 2(4) + 2[/tex]
[tex]BC = 8 + 2[/tex]
[tex]BC = 10[/tex]
What is the square of 9?
Answer:
3
Step-by-step explanation:
sqrt9 = 3
Select all the statements about the number -3 that are true.
It is an integer.
It is an irrational number.
It is a rational number.
It is a whole number.
It is a natural number.
Answer:
It is a rational integer.
Step-by-step explanation:
'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].
It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.
Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.
'-3' is a rational number and an integer.
Hope this helps.
Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28
Answer:
12x -28
Step-by-step explanation:
4(5x - 6) - 4(2x + 1)
Distribute
20x -24 -8x -4
Combine like terms
12x -28
Evalute this expression: -4y + 7y - 10 + 3
Answer:
3y-7
Step-by-step explanation:
-4y + 7y - 10 + 3
Combine like terms
-4y + 7y - 10 + 3
3y -7
In general, the value measured by the horizontal axis is called the ________
variable.
Answer:
independent
Step-by-step explanation:
We put the independent variable on the x axis ( or horizontal) and the dependent variable on the y axis ( or vertical)
Answer:
independent
Step-by-step explanation:
Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years
Answer:
4 years
Step-by-step explanation:
As 4*8 is 32
So 144+32 is 176
And 5*4=20
108-20 is 88
88*2 is 176
please help me, i will give 20 pts and choose brainlest too!
Answer:
ABC = 36 , DBC = 44
Step-by-step explanation:
(7x+2) + (7x -6) = 8=
14x -4 = 80
14x = 84
x = 6
Find the transformations from y=x^2 for the following equation: f(x)=(x+4)^2 -9
Identify the property shown by the equation.
14 × 6 = 6 × 14
Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? distance line plane point
Answer:
its D
Step-by-step explanation:
just took the quiz
The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.
We need to identify the undefined geometric term from the options.
There are three undefined terms in geometry :
1) point 2) line 3) plane
What is the point?A point has zero dimension and it is used to locate a figure on a coordinate plane.
The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and y= ordinate.
A line is the one-dimensional straight indefinite path on the plane that has no width.
A plane is a two-dimensional flat surface that extends up to infinity.
Therefore, option D is the correct answer.
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-72 + 12 x 4 / (-6) solve it
Answer:
The answer is -80.
Step-by-step explanation:
First, you need to multiply 12x4.
-72+12x4/(-6)
-72+48/(-6)
Now, we divide 48/-6. (Using P.E.M.D.A.S)
-72+48/-6
-72+-8
Finally, we add the negatives.
This gives us... -80 as your answer.
theo can run 1/2 mile in 1/10 hour. If theo continues at this rate how far can he run in a hour?
PLEASE HELP QUICK!!!! Which on are function and which ones are not? A. {(1, 2), (−3, 2), (4, −1), (2, 1), (2, 3)} B. {(−3, 1), (4, 2), (3, −1), (2, −4)} C. {(4, 2), (4, −1), (3, −2), (1, 4), (−2, 4)} D. {(3, −2), (−3, 2), (5, −2), (−1, −1)}
A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}
B. {(-3,1), (4,2), (3,-1), (2,-4)}
C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}
D. {(3,-2), (-3,2), (5,-2), (-1,-1)}
Function is something like domain mustn't have the same value in a single set. For example,
{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)
{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.
For the A, It's not function because of (2,1) and (2,3)
For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)
For the C, Not function because of (4,2) and (4,-1)
For the D, it's function.
у=x+5 3x+y=25 substitution
Answer:
(5,10)
Step-by-step explanation:
So we have the system of equations:
[tex]y=x+5\\3x+y=25[/tex]
To solve, we can use substitution.
Substitute the first equation into the second:
[tex]3x+y=25\\3x+(x+5)=25[/tex]
Combine like terms:
[tex]4x+5=25[/tex]
Subtract 5:
[tex]4x=20[/tex]
Divide by 4:
[tex]x=5[/tex]
Now, substitute this into the first equation:
[tex]y=x+5\\y=5+5[/tex]
Add:
[tex]y=10[/tex]
So, our answer is (5,10)
And we are done :)