Step-by-step explanation:
E = mc^2
E is Energy
M is Mass
C is Speed of light
This is Albert Einstein's General theory of relativity.
According to The principle of homogeneity,
E = mc^2 is dimensionally correct.
Calculate the mean of the following list of numbers: 10, 12, 7, 9, 9, 11, 15, 9
PLEASE HELP!!!!
9
9.5
10.67
10.25
what is the sum of the square root of 63 and 144,divided by 5
Answer:
Step-by-step explanation:
(√63 + 144)/5 = (3√7 + 144)/5 = 0.6√7 + 28.8
convert 5.875baae 10 to base 2
On a piece of paper graph
f(x) = {-1 if -1 <= x < 0}
{ -2 if 0 <= x < 0}
{ -3 if 1 <= x < 2
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
For x between -1(inclusive) and 0, y takes a constant value of -1.
For x between 0(inclusive) and 1, y takes a constant value of -2.
For x between 1(inclusive) and 2, y takes a constant value of -3.
Additionally:
At the inclusive points, the interval is circled, and thus, the graphic is given at the end of this answer.
For another example of the graphic of a piece-wise function, you can check https://brainly.com/question/16855064
Answer:
Step-by-step explanation:
1. (1, 3); (2, 3)
2. (0, 0) (1, 0)
3. (-1, 1) (0,0)
Which statement is true regarding the graphed functions
f(4)=g(4)
F(4)=g(2)
F(2)=g(-2)
F(-2)=g(-2)
In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?
Answer:
BC = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² + AC² = AB²
BC² + ([tex]\frac{5}{13}[/tex] )² = 1²
BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )
BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )
BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]
pls pls pls help meeeeee
Answer:
i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3
Step-by-step explanation:
How would I do this??
Part 1
[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]
Answer: -4/11
====================================================
Part 2
Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.
[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]
This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.
Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]
Find the Quotient. Do NOT round
22.14 divided by 1.2
Answer:
18.45
Step-by-step explanation:
I used a calculator
The circumference of a circle is 14 meters. Which of the following represents the area of the circle
Answer:
A = 49/pi
Step-by-step explanation:
C = 2 * pi *r
14 = 2 * pi *r
Divide each side by 2 pi
14/2pi = r
7/pi = r
The area is given by
A = pi r^2
A = pi ( 7/ pi)^2
A = pi * 49 / pi^2
A = 49/pi
Answer:
[tex]area = {15.61m}^{2} [/tex]
explanation is attached to the picture
Hope this helps you
Which of the following equations of a line is NOT written in standard form?
A. 12x - 2y = 82
B. y = -2x - 1
C. x – 7y = 22
D. -x + 5y = 10
Answer: B
Step-by-step explanation:
Its written in slope intercept form not standard
A package of 4 red,white and blue hats costs $8. What is the unit rate
Answer:
$2/ hat
Step-by-step explanation:
Find the unit rate:
$ to hats
8 to 4
Divide by four to get the unit rate; over 1
2 to 1
So, $2 per hat
Hope this helps!
©
In
what ratio does the point (m, 4) divide the line joining points (5, 1) and
(-3, 2)? Also, find the value of m.
what ratio does the point divide the line
Answer:
Part 1; The point (m, 4) divides the line externally in the ratio 3:2
Part 2; m = -19
Step-by-step explanation:
Part 1
The given point dividing the line = (m, 4)
The given points on the line = (5, 1) and (-3, 2)
Let A and B, represent the points (5, 1) and (-3, 2) respectively, and let P represent the point, (m, 4)
Therefore, we have;
The vertical distance from 4 to 1 = 4 - 1 = 3 units
The vertical distance from 4 to 2 = 4 - 2 = 2 units
Given that the point 4 is over the given points joined by the line, (5, 1) and (-3, 2), we have that the point (m, 4) divides the line in the ration -3:2 or externally in the ratio AP:PB = -3:2
Part 2
Therefore, we have;
(m - 5)/(m - (-3)) = 3/2
3·m + 9 = 2·m - 10
m = -19
Sailor Sheftal
Special Right Triangles (Radical Answers)
Jul 21, 10:57:01 AM
?
The figure below is a square. Find the length of side 3 in simplest radical form with a
rational denominator.
9
.
Submit Ansurer
Answer: 2=
Pls help me
Answer: [tex]9\sqrt{2}[/tex]
Step-by-step explanation:
The sides of a square are all equal in length.Use the Pythagorean Theorem:
[tex]9^{2} +9^{2} =x^{2}\\x=\sqrt{9^{2} +9^{2}} =\sqrt{2(9)^{2} } =9\sqrt{2}[/tex]
A dripping tap loses water at a rate of 5mL a minute.
How long does it take to lose one litre?
1 liter = 1000mL
Divide 1000mL by mL per minute:
1000 / 5 = 200 minutes ( 3 hours and 20 minutes)
2.1: Solve the one step equation
9. 70 = -5x
10. x4 = 36
11. 7x = -54
Answer:
-14, 9 and - 54/7
Step-by-step explanation:
70=-5x, x=-144x=36, x=97x=-54, x=-54/7What is the range of the function?
Answer:
all real numbers greater than or equal to 11
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answer:
85 i guess
Step-by-step explanation:
The mean of the distribution is 70 and the standard deviation of the distribution is 4.
The shaded area in the distribution below represents approximately 95% of the data. This means that the shaded area is equal to 1.96 standard deviations from the mean.
The 68-95-99.7 rule states that 95% of the data in a normal distribution falls within 2 standard deviations of the mean. So, the shaded area in the distribution below represents the area between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
The mean of the distribution is the center of the shaded area. The standard deviation of the distribution is the distance from the mean to the edge of the shaded area.
In this case, the mean of the distribution is approximately 70. The standard deviation of the distribution is approximately 4.
Here is a step-by-step explanation of how to find the mean and the standard deviation:
Identify the shaded area in the distribution.
Remember that the shaded area represents 95% of the data.
Use the 68-95-99.7 rule to determine that the shaded area is between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
Find the mean by averaging the two points on the distribution that are 1.96 standard deviations from the mean.
Find the standard deviation by subtracting the mean from one of the points on the distribution that is 1.96 standard deviations from the mean.
Therefore, the mean of the distribution is approximately 70 and the standard deviation of the distribution is approximately 4.
To learn more about standard deviation here:
https://brainly.com/question/13498201
#SPJ2
A square has an area of 49 cm squared what is the length of each side
Answer:
7
Step-by-step explanation:
[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]
The telephone numbers in a small town have two digits. They run from 00 to 99.
Of the 100 possible numbers, those that become smaller when reversed are not used, i.e. 21 is not used.
What is the maximum number of telephone numbers this town could have?
Answer:
[tex]55[/tex]
Step-by-step explanation:
We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].
Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:
[tex]B\geq A[/tex]
This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.
Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:
[tex]0B,\\01, 02, 03,...[/tex]
Therefore, there are 10 possible telephone numbers when the tens digit is 0.
Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.
This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].
The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.
Since there are 10 cases (0-9), add up the possible telephone numbers for each case:
[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]
Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:
[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]
Maya just bought a refrigerator for $642. She paid $160.40 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answer:
120.40 per payment
Step-by-step explanation:
Subtract the down payment
642 - 160.40
481.60
Divide this by 4
481.60 / 4
120.40
Find the missing value.
Hint: Use the number line to find the missing value.
-5 = –10+
Answer:
the missing values is 5
I hope it's helps you
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Given:
The data set is:
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
To find:
The correct statement that represents the box plot of the data correctly.
Solution:
We have,
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Divide the data in 2 equal parts.
(0, 1, 1, 1, 2), 3, (4, 4, 6, 6, 9)
Divide each parenthesis in 2 equal parts.
(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)
Here,
Minimum value = 0
First quartile = 1
Median = 3
Third quartile = 6
Maximum value = 9
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Therefore, the correct option is D.
Answer:
its d
Step-by-step explanation: my yt Tray Clayps
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
they don't share any points
that's one thing, but I don't know what your options are of course.
see screenshot for illustration of the inequalities
Hey can anyone help me pls
Answer:
6.8=6 8/5
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hope it help
Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A
Answer:
[tex]V=90[/tex]
Step-by-step explanation:
Step 1: Find the volume of the cone
[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]
Plug in the values
[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]
Simplify and Solve
[tex]V = \frac{\pi *9*10}{3}[/tex]
[tex]V = \frac{90\pi }{3}[/tex]
[tex]V = \frac{90*3 }{3}[/tex]
[tex]V=90[/tex]
Answer: [tex]V=90[/tex]
HELP ASAP LIKE PLEASE
Answer: (3b+2)(b+2)
Step-by-step explanation:
Answers plssssssssssssssssss
Answer:
3/2
Step-by-step explanation:
if u divide two fractions, it is same as multiplying with its reciprocal
A woman gave birth to twins. The baby girl was 6 lb. 5 oz. And the boy was 5 lb. 12 oz. How much did they weigh together?
Answer:
12lb and 7oz
Step-by-step explanation:
you can just add it together and get an answer
Answer:
11 lbs 17oz
Step-by-step explanation:
Please help me ill give brainliest!!
Answer:
3744.64
Step-by-step explanation:
To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.
Answer:
cylinder= A=πr²h
=3.14×4²×9
=452.16
rectangle=A=l×w×h
=19×11×11
=2299
total area=452.16+2299
=2751.16
Step-by-step explanation:
