Plugging in the values, we see that object 1 has more potential energy (the ball to the left)
The following equation is often referred to as Euler's Formula; e^pii+1=0 Use what you know about complex numbers to show that this equation is true. In other words, show that e^pii+1=0 __ If someone could please help me understand the proof and the answer to this ill give you brainliest!! thank you
Answer:
[tex]\large \boxed{e^{i\pi}+1=0}[/tex]
Step-by-step explanation:
Hello, please consider the following.
For any x real number,
[tex]e^{ix}=cos(x)+i\cdot sin(x)\text{, right? So}\\\\e^{i\pi}=cos(\pi)+i\cdot sin(\pi)\\\\e^{i\pi}=-1+i\cdot 0=-1\\\\\text{ We add 1 to both sides of the equation.}\\\\\large \boxed{e^{i\pi}+1=0}\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
I need help on both answers. They’re different from my other problems so I’m kinda confused
An object has a mass of 50.0 g and a volume of 10.5 cm cubed. What is the object's density? A. 60.5 g/cm cubed B. 0.21 g/cm cubed C. 4.76 g/cm cubed D. 525 g/cm cubed
Answer:
4.76 g/cm³
Step-by-step explanation:
Density formula = mass / volume
1. Set up the equation and solve
50.0 / 10.5 = 4.76
Describe the transformation. A. (x,y)→(x+5,y−3) B. (x,y)→(x−3,y+5) C. (x,y)→(x+3,y−5) D. (x,y)→(x−5,y+3)
Answer:
Option(A)
Step-by-step explanation:
From the graph attached,
Quadrilateral USTR has been transformed to get the image quadrilateral U'S'T'R'.
Coordinates of point U → (-2, 6)
Coordinates of point U' → (3, 3)
Coordinates of U and U' show that quadrilateral USTR has been shifted by 5 units to the right and 3 units down.
Rule to be followed for the translation,
U(-2, 6) → U'[(-2 + 5), (6 - 3)]
U(x, y) → U'[(x + 5), (y - 3)]
Therefore, Option (A) describes the correct rule of transformation.
Find the value of tetha in 2 cos 3 tetha = 1
Answer:
Step-by-step explanation: 2cos3 theta=1. Cos 3theta=1/2. Since cos 60°= 1/2. Therefore cos 3theta=cos 60°. Theta=20°.
can we chat girl in comment
f (x) = -x^2 + x + 14 Find f(2)
f(x) = -x² + x + 14
f(2) = -2² + 2 + 14 = -4 + 16 = 12
f(2) = 12
Answer:
12
Step-by-step explanation:
f (x) = -x^2 + x + 14
Let x= 2
f(2) = - (2)^2 +2+14
= -4 +2+14
= -2 +14
= 12
Please answer this question now
Answer:
11 yd
Step-by-step explanation:
To find the volume of a rectangular prism, we multiply the width, length and height.
We already know the length, 18, and the height, 11, and the volume, 2178, so we can easily solve for y.
[tex]18\cdot y\cdot11=2178\\192y=2178\\y = 11[/tex]
Hope this helped!
Write 70cents to $1.80 as a fully simplified ratio by first converting to the same units, and then simplifying.
Answer:
7 : 18
Step-by-step explanation:
1. Convert to the same units (cents)
70 cents = 70 cents
$1.80 = 180 cents
2. Simplify
70 : 180 (divide both by ten)
7 : 18
7 and 18 cannot be simplified any further.
I really need these answered!
Answer:
Step-by-step explanation:
#1) [tex]\arcsin \left(0.64958\right)=0.70703\dots \quad \begin{pmatrix}\mathrm{Degrees:}&40.51^{\circ \:}\end{pmatrix}[/tex]
∡C =62.49
[tex]\frac{\left(\sin \left(27^{\circ \:}\right)\right)}{3}=\frac{\sin \left(54^{\circ \:}\right)}{x}\quad :\quad x=\frac{3\left(\sqrt{5}+1\right)}{\sin \left(27^{\circ \:}\right)\cdot \:4}\quad \left(\mathrm{Decimal}:\quad x=5.34603\dots \right)[/tex]
if 25% of a number is 75 find the number
Answer:
x = 300
Step-by-step explanation:
of means multiply and is means equals
25% * x = 75
Change to decimal form
.25x = 75
Divide each side by .25
.25x/.25 = 75/.25
x = 300
Answer:
300
Step-by-step explanation:
Assume the unknown value is 'Y'
75 = 25% x Y
75 = 25/100 x Y
Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:
Y = 3 x 100/25
Y = 300%
Answer: 75 is 25 percent of 300
solving polynomial(2y-4)(3y+6)
Answer:
6y² - 24
Step-by-step explanation:
Expand. Follow FOIL method. FOIL =
First
Outside
Inside
Last.
First, multiply the first term of each parenthesis:
2y * 3y = 6y²
Next, multiply the outside terms from both parenthesis:
2y * 6 = 12y
Then, multiply the inside terms from both parenthesis:
-4 * 3y = -12y
Finally, multiply the last terms of each parenthesis:
-4 * 6 = -24
Combine like terms:
6y² + 12y - 12y - 24
6y² + (12y - 12y) - 24
6y² - 24
6y² - 24 is your answer.
~
[tex] \Large{ \boxed{ \rm{ \red{To \: solve?}}}}[/tex]
(2y - 4)(3y + 6)Solution:-⇛ (2y - 4)(3y + 6)
⇛ 2y(3y + 6) - 4(3y + 6)
⇛ 6y² + 12y - 12y - 24
⇛ 6y² - 24
☃️ So, Final answer = 6y² - 24
5a - 2b for a = -2 and b = 5
Answer:
-20
Step-by-step explanation:
5a - 2b a=-2 b=5
5(-2)-2(5)
-10-10=-20
Answer:
The answer is - 20Step-by-step explanation:
5a - 2b
To find the value of the expression when
a = -2 and b = 5
Substitute the values of a and b into the expression
That's
5(-2) - 2(5)
-10 - 10
-20
We have the final answer as -20
Hope this helps you
2(3x + 1) - (x - 5) = 42
Answer:
6x+2-1x+5=42
Step-by-step explanation:
Answer:
6x+2-x-5=42
Step-by-step explanation:
Correct answer gets brainliest and 5 stars
Answer:
5, 12, 13
Step-by-step explanation:
Pythagoras theorem ⇒ Perpendicular² + Base² = Hypotenuse²
5² + 12² = 13²
25 + 144 = 169
Thus 5, 12, 13 is a Pythagorean triple.
Guys please help me find the answer to this
Answer:
C
Step-by-step explanation:
The colony will follow an exponential equation. y(x) = 8000*(2)^(t/210). Plug in t=630 and you will get y(x) = 64000
A dinner at a restaurant was advertised at $60 plus 18% tax. The total bill for this dinner was
Answer:
xjjvbbbnhzxb hai jhfVbfxkdXhxx
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 214 feet at an
angle of 36° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately
how far does the outfielder throw the ball?
9514 1404 393
Answer:
169 ft
Step-by-step explanation:
The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...
c² = a² +b² -2ab·cos(C)
Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...
c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84
The outfielder throws the ball about 169 feet.
c(x)=2x^2-4x-3 find c(-4)
Answer:
45
Step-by-step explanation:
c(x)=2x^2-4x-3
Let x= -4
c(-4)=2(-4)^2-4(-4)-3
= 2(16) +16-3
=32+16-3
45
Answer:
45
Step-by-step explanation:
c(-4) = 2(-4)² - 4(-4) - 3
= 2(16) + 16 - 3
= 32 + 13
= 45
20 points! I would really like some help! :) (Question attached below)
Answer:
See below.
Step-by-step explanation:
(a)
To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.
[tex] (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = [/tex]
[tex] = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 [/tex]
[tex]= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}[/tex]
[tex] = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} [/tex]
(b)
No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.
1. Define sets
2. What are the types of sets?
3. What are the operations used on sets?
Answer:
Set is a collection of specified object.The types of set are Finite Set. A set which contains a definite number of elements is called a finite set. ...Infinite Set. A set which contains infinite number of elements is called an infinite set. ...
Subset. ...
Proper Subset. ...
Universal Set. ...
Empty Set or Null Set. ...
Singleton Set or Unit Set. ...
Equal Set.
The operation used on sets are. 1 Intersection 2.Union 3.Difference 4.Compelement2 hundredths as a decimal
Answer:
0.02
Step-by-step explanation:
Answer:
.02
Step-by-step explanation:
1. The weight, wky, of a bag of sand is given as 5.6 kg correct to
1 decimal place. Find the range of values in which the actual
weight lies.
Answer:
5.56
Step-无by-step explanation:
Consider the following linear system.
-3x+7y=-16
-9x+5y=16
The y-value of the solution is:
a. -16/13
b. 4
c. 51/16
d. -4
Answer:
D) y=-4
Step-by-step explanation:
we can multiply the first equation by -3 to cancel out the x's
and then add the first equation and the second equation
9x-21y=48
-9x+5y=16
0x-16y=64
y=-64/16=-4
write in the form of p/q, 0.785 (bar on 85)
please to spam anything except answer....TOMORROW EXAM
The expression of 0.785 in the form p/q is 157/200
The ratio is defined as a way of dividing a variable by another variable.
For instance, p/q can be described as the ratio of p to q where p and q are integers.Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)
0.785 = 785/1000
Express in its simplest form
785/1000 = 157/200
Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.
Learn more on ratio here: https://brainly.com/question/19473677
A son is 8 years old. His father is 5 times as old. How old was the father when his son was born?
Answer:
he was 32
Step-by-step explanation:
8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32
Please help quick pleaseeeeeeeeeeee
Answer:
think this one
Step-by-step explanation:
the answers there
i think
Which of the variable expressions below is a trinomial with a constant term? A. 3x5 – 2x3 B. x5 – 3x2 + 5x C. 7x6 + 2x4 – x3 + 7 D. 4x2 – 3 + x3
Answer:
Option (D)
Step-by-step explanation:
Option (A).
3x⁵ - 2x³
There are two terms with the variable 'x' in the given expression. therefore, it's a binomial with no constant term.
Option (B).
x⁵ - 3x² + 5x
This expression has three terms with variable 'x'.
Therefore, it's a trinomial without no constant term.
Option (C).
7x⁶ + 2x⁴ - x³ + 7
It's a quadrinomial having 4 terms. '7' is the constant term in the given expression.
Option (D).
4x² + x³ - 3 ≈ x³ + 4x² - 3
It's a trinomial with a constant term 3.
Therefore, Option (D) is the answer.
At a parking lot, the ratio of people to cars is 3 : 5. If there are 30 people, how many cars are there? *
Answer:
50 cars
Step-by-step explanation:
Let's define p as the number of people and c the number of cars.
We know that p / c = 3/5 or in other words, there are 5 cars every 3 people. If we have 30 people means that p = 30 which implies 30/c = 3/5 which implies c = 5/3 * 30 = 50.
Answer:
Step-by-step explanation:people=30=3/5
30/5=6*3=18
car=30=5/3
30/3=10
10*5=50
so there are 50 cars there
PLS HELP ME ON THIS QUESTION I WILLL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
B) Range
Step-by-step explanation:
Hope this will help you
Answer:
Range
Step-by-step explanation:
I hope this will help buddy
Andrea is comparing the prices charged by two different taxi firms.
Firm A charges £20 for a 5 mile journey and £30 for a 10 mile journey, and there is a linear relationship between the price and the length of the journey.
Firm B charges a pickup fee of £3 and then £2.40 for each mile travelled.
Find the length of the journey for which both firms would charge the same amount.
Answer: 17.5 miles
Step-by-step explanation:
P=price, L=length
Firm A:
P=2L+10
Firm B:
P=2.40L+3
2.40L+3=2L+10
L=17.5
The fare would be the same for 17.5 miles for both firms.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, Firm A charges £20 for a 5 mile journey and £30 for a 10 mile journey . let the fixed component of the fare be k and charge for travelling per mile be x then we have, 20=5x+k. . . (1)
30=10x+k. . . .(2)
solving these two equations we get x=2 and k = 10
Now let the length of the journey that both firm charge the same is equal to L and given here that firm B charges a pickup fee of £3 and then £2.40 for each mile travelled. Thus forming the equations we get
2L+10=2.40L+3
0.40L=7
L=17.5
Hence, The fare would be the same for 17.5 miles for both firms.
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ2