Answer:
Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.
The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.
×
E=mc2
In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.
The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."
i think it’s #1 but what’s the work?
Virgil opened an account with a deposit of $815.
. The bank pays 5% interest compounded annually on this account.
• Virgil makes no additional deposits or withdrawals.
How much interest will the account have earned after 6.5 years?
Answer:
$304.15
Step-by-step explanation:
The amount of interest earned can be found from the formula ...
I = P((1 +r)^t -1)
I = $815((1 +0.05)^6.5 -1) ≈ $815(0.373189) ≈ $304.15
Virgil's account will have earned about $304.15 in interest in 6.5 years.
The area of parallelogram is 104 square units and base length is 13. What is the height of the parallelogram?
Answer :
8 units⠀
Step-by-step explanation :
⠀
Here,
Area of the parallelogram is 104 sq. unitsBase length of the parallelogram is 13 units.⠀
We know that,
[tex]{\longrightarrow \qquad{ \mathfrak{ \pmb{Base \times Height = Area_{(Parallelogram)}}}}}[/tex]
⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad{ \sf{ {13 \times Height = 104}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \sf{ {Height = \dfrac{104}{13} }}}}
[/tex]
⠀
[tex]{\longrightarrow \qquad{ \pmb { \frak{Height \: \: {= 8}}}}}[/tex]
⠀
Therefore,
The Height of the parallelogram is 8 units.Question :-
The Area of Parallelogram is 104 units² . Its Base is 13 units . What is the Height of the Parallelogram ?Answer :-
Height of Parallelogram is 8 units .Explanation :-
As per the provided information in the given question, we have been given that the Area of Parallelogram is 104 units² . Its Base is given as 13 units . And, we have been asked to calculate the Height of the Parallelogram .
For calculating the Height , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf { Area \: _{Parallelogram} \: = \: Base \: \times \: Height } [/tex]
[tex] \longmapsto \: \: \: \sf { 104 \: = \: 13 \: \times \: Height } [/tex]
[tex] \longmapsto \: \: \: \sf { \dfrac {104}{13} \: = \: Height} [/tex]
[tex] \longmapsto \: \: \: \sf { 8 \: = \: Height} [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Height \: = \: 8 }} [/tex]
Hence :-
Height of Parallelogram = 8 units .[tex] \underline {\rule {204pt} {4pt}} [/tex]
Additional Information :-
[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]
A mute for a brass instrument is formed by taking a solid cone with a radius of 10 centimeters and an altitude of 20 centimeters and cutting off the top. The cut is made along a plane that is perpendicular to the altitude of the cone and intersects the altitude 6 centimeters from the vertex. Round your answers to the nearest hundredth.
What is the surface area of the original cone?
What is the surface area of the cone that is removed?
What is the surface area of the mute?
By using the formula for the area of a cone, we will get:
i) 942 cm^2ii) 84.78cm^2iii) 885.48cm^2How to get the surface areas?
First, let's find the area of the original cone. Remember that for a cone of radius R and height H, the surface area is:
A = pi*R^2 + pi*R*H
Then for the original cone where:
R = 10cm
H = 20cm
The area is:
A = 3.14*(10cm)^2 + 3.14*10cm*20cm = 942 cm^2
Now, we remove a smaller cone at 6 cm from the vertex, so we are removing a cone with height of 6 cm, and the radius of this cone is given by:
R' = R*(H'/H) = 10cm*(6cm/20cm) = 3cm
So the area of the removed cone is:
A' = 3.14*( (3cm)^2 + 3cm*6cm) = 84.78cm^2
The final area of the mute will be equal to the difference between the area of the original cone and the area of the removed cone, plus the area of the top cross-section (a circle of radius of 3cm)
A'' = 942 cm^2 - 84.78cm^2 + 3.14*(3cm)^2 = 885.48cm^2
If you want to learn more about areas, you can read
https://brainly.com/question/6613758
a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle
Answer:
area of entire circle = 84 in²
Explanation:
[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]
===========
[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]
[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]
[tex]\sf \rightarrow r = 5.17\ in[/tex]
Area of circle:
[tex]\sf \pi r^2[/tex]
=====
[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]
[tex]\hookrightarrow \sf 84\ in^2[/tex]
Find CD. Assume segments that appear to be tangent are tangent.
Answer: 5
Step-by-step explanation:
The maximum weight for the elevator is 599 pounds. Write an inequality that shows the weight.w. it can hold.
Answer:
599>w
Step-by-step explanation:
Since the max was 599 we need to show that the weight or w has to be less than 599
Answer:
599 ≥ w
Step-by-step explanation:
The other person is wrong
It can hold 599 pounds, and anything less than that, so we use this symbol
find the slope in simplest form
Please help i’ll give brainliest
Answer:
1. 4/5 (0.8) | 2. 6/3 (2.0) | 2. -2/6 (0.3333...) | 4. 7/4 (1.75) |
Step-by-step explanation:
I wrote each in decimal form (if possible) and fraction form.
Brainliest please?
Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answer:
120° and 80°
Step-by-step explanation:
quadrilateral = 360°
125° + 35° = 160°
360° - 160° = 200°
3/5 of 200° = 120°
200° - 120° = 80°
Answer:
Step-by-step explanation:
Finding the missing angles of quadrilateral:
Ratio of other two angles = 3 : 5
Other two angles are 3x , 5x
Sum of all angles of quadrilateral = 360
125 + 35 + 3x + 5x = 360
Combine like terms
160 + 8x = 360
Subtract 160 from both sides
8x = 360 - 160
8x = 200
Divide both sides by 8 to isolate x
x = 200/8
x = 25
5x = 5*25 = 125
3x = 3*25 = 75
The other two angles are 125° , 75°
Draw a rectangle which all sides are different lengths
This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.
Select all the true statements about the following parallelogram
Answer:
it is D. and A.
Step-by-step explanation:
um because
Does this mean my data is normally distributed or not? How did you know?
Answer:
There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...
Step-by-step explanation:
#caryonlearning correct me if im wrong
The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts in quadrant 3 and curves up in to the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.
What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers
Answer:
x > -2.
Step-by-step explanation:
Starts at x = -2 then carries on without bounds.
Answer:
x > –2
Step-by-step explanation:
The answer above is correct.
Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
Answer: No
Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.
I hope this helps!
PLEASE SOLVE THIS QUICKLY
Log 50/ Log 6 -3
Answer:
-0.8
________________________________________________________
SolveIf the value of log 50 rounds to 1.7, find the value of log 6 and -3
[tex]log6 = 0.77815125038[/tex]
Subtract by 3.
[tex]log6 - 3 = 2(estimate)[/tex]
Divide by ㏒ 50
[tex]\frac{log6 - 3 }{50} = -0.8(estimate)[/tex]
________________________________________________________
QuestionsAsk in the comments box.
2) A square piece of land was divided by a 850-meter diagonal fence. One side of the land measures 700 m. how many meters of fence does the owner need to complete the fencing of half of the land? formod hy nutting i smuares fonether 1 souare is at the center. What is the
The length of fence materials needed to cover a land of sides 700m ,700m and 850m is 2250 meters
Perimeter of Flat ShapesGiven Data
Diagonal = 850 meterSide of fence = 700 meterShape of land = SquareSince the shape of the land is that of a square
All the sides will be 700 meter
Dividing the land into two pieces, the side will be
700, 700, 850
hence the length of fence needed to cover the land is
Perimeter = 700+700+850
Perimeter = 2250 meters
Learn more about perimeter here:
https://brainly.com/question/24304697
Find the value of X to the nearest tenth.
Step-by-step explanation:
REFER TO THE ATTACHMENT
HEY IN WHICH CLASS YOU ARE ROSA
Answer:
my answer is 7.5
Step-by-step explanation:
let me know if I'm incorrect
The point (7,7) is a point on the terminal side of theta. What is the exact value of csc theta in simplest form?
[tex](\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}[/tex]
Johnny wants to go to his friends house. Johnny is located at (0, 0) and Johnny's friends lives at (5, 7). If each line on the graph represents one mile, which of the following must johnny do to get to his friends house?
A. Go East for 5 miles then North for 7 miles.
B. Go West for 5 miles then North for 7 miles.
C. Go East for 5 miles then South for 7 miles.
D.Go West for 5 miles then south for 7 miles.
Answer:
A
Step-by-step explanation:
The answer is A because on a graph you have to move 5 units right on the x line and 7 units up on the y line. This means East for 5 miles then North for 7 miles.
The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π
Answer:
volume=12п
Step-by-step explanation:
circumference =2пr
2пr=18п
r=18п:2п
r=9
volume of sphere= (4/3)*п*r
volume=(4/3)*п*9
volume=4*п*3
volume=12п
HELP ASAP! GIVING BRAINLIEST TO BEST ANSWERS FOR THESE 2 QUESTIONS!
Hope it helps.
Do comment if you have any query.
Let's start off with 1. 3/10 * 5/7
3/10×5/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
(3×5) / (10×7) = 15 / 70
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 70 using
GCF(15,70) = 5
(15÷5)/ (70÷5)=3/14
Therefore:
3/10×57=3/14
Now, #2. 7/10 * 2/4- We do the same process.
7/10×2/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
(7×2) / (10×4)=1440
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 40 using
GCF(14,40) = 2
(14÷2) / (40÷2) = 7/20
Therefore:
7/10×2/4=7/20
Hope this helps!
bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister leaves their house and starts biking to school at a speed of 12 mph. how far from home is their school if they meet in 10 minutes
We will see that the distance between the home and the school is 0.5 miles.
How far from home is their school?We know that they meet in school after 10 minutes.
So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).
This will be:
3 miles per hour *10 minutes.
Note that the units are different, so we write 10 minutes in hours.
1 hour = 60 min.
(1/ 60) hour/min = 1.
Then:
10 min = 10 min*(1/ 60) hour/min = 0.167 hours.
Now we can find the distance to their school as:
D = 3 mi/h*0.167 h = 0.5 miles.
If you want to learn more about speed, you can read:
https://brainly.com/question/4931057
Answer:
2.5 miles
Step-by-step explanation:
big brain
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer:
the mean is 46.
Step-by-step explanation:
The total is 460 and divided by the amount of numbers(10) is 46.
Gabriel has these bags of chips in his kitchen cabinet.
• 3 bags of Takis
• 2 bags of Doritos Cool Ranch
• 2 bags of Hot Cheetos
• 2 bags of Funyuns
• 1 bag of Ruffles
Gabriel will randomly choose one bag of chips. Then he will put it back and randomly
choose another bag of chips. What is the probability that he will choose a bag of
Funyuns and then a bag of Hot Cheetos?
The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos is
end
.:
1
25
::
:
42
Answer:
The answer for the first part is 2/5
Step-by-step explanation:
Because if you add the total number of bags it equals 10 and then you do 2/10 because if 2 bags of funyuns and another 2/10 because its 2 bags of hot cheetos so 2/10+2/10=4/10 and simplified it is 2/5
PLEASE MARK AS BRAINLIEST
Divide and simplify. − 8 15 ÷ − 3 5 A) − 3 25 B) − 4 5 C) 13 15 D) 8 9
A 100 points
Step-by-step explanation:
- will be cancel
then
815/35= 23.28
What is the slope and y-Intercept of the equation on the graph?
Answer:
Slope: 3/2
Y-Intercept: 3
Step-by-step explanation:
The y-intercept is very easy to discover as it is just the Y coordinate when X is zero or "intercepts" the x axis. So if you look directly above the origin you see that the line has the point (0, 3).
The Y Intercept is 3
The slope is found using the slope formula of y2-y1/x2-x1
Lets take two points from the line. We have the (0, 3) point that I mentioned earlier and we can get the x-intercept of (-2, 0)
Lets Solve!
3- 0 = 3
0-(-2) = 2
3/2 is the slope
So the formula is Y = 3/2 + 3
Find the value of X and y in this figure
Answer:
Step-by-step explanation:
What is the quotient?
690/16
A.
B.
C.
D.
43 is the quotient
=======
[tex]\rightarrow \sf \dfrac{690}{16}[/tex]
[tex]\rightarrow \sf 43\dfrac{2}{16}[/tex]
=========
In a mixed fraction like: [tex]\sf a \dfrac{b}{c}[/tex]
a = quotientb = remainderc = divisorAnswer:
43
Step-by-step explanation:
To find the quotient of 690/16, the first step is to simplify the expression so that it would be easier to simplify.
[tex]\rightarrowtail \dfrac{690}{16} = \dfrac{345}{8}[/tex]
Now, let's simplify the expresssion using long division.
(Refer to image attached)
According to the image, we can tell that quotient is 43. Keep in mind that the quotient is the number obtained at the top.
8x + 8 + -3
I need help finding this question
Answer:
8x+5
Step-by-step explanation:
8x + 8 + (-3) = 8x+8 - 3 = 8x + 5.
Hope this helps!
Also, please mark as brainliest!
Answer:
The answer is 8x+5
Step-by-step explanation:
1. Combine like terms so it will be 8 and -3
2. this will leave you with 8x+5 which you cannot do anything further.
Helena is an engineer that designs packaging for new products. She designed a box in the shape of a rectangular prism with dimensions of 10 inches by 7 inches by 4 inches. What is the surface area of the box? 138 square inches 276 square inches 280 square inches 441 square inches
Answer
276 square inches.
Step-by-step explanation:
Area of rectangular prism = 2(lb + bh + lh)
2(10*7 + 7*4 + 10*4)
2( 70 + 28 + 40)
2 * 138
276 square inches
please give me Brainliest
Answer:
answer is b
Step-by-step explanation: