Answer:
x = 10
Step-by-step explanation:
a² + b² = c²
(5√2)² + (5√2)² = x²
50 + 50 = x²
x² = 100
x= 10
a student in greece discovers a pottery bowl that contains 29% of its original amount of C-14
Answer:
The age of the pottery bowl is 12,378.7 years
Step-by-step explanation:
The amount of C-14 after t yeas is given by the following equation:
\(N(t) = N(0)e^{-kt}\)
In which N(0) is the initial amount and k is the decay rate.
In this question, we have that:
\(k = 0.0001\)
So
\(N(t) = N(0)e^{-0.0001t}\)
Age of the pottery bowl:
29% of its original amount of C-14. So we have to find t for which N(t) = 0.29N(0). So
\(N(t) = N(0)e^{-0.0001t}\)
\(0.29N(0) = N(0)e^{-0.0001t}\)
\(e^{-0.0001t} = 0.29\)
\(\ln{e^{-0.0001t}} = \ln{0.29}\)
\(-0.0001t = \ln{0.29}\)
\(t = -\frac{\ln{0.29}}{0.0001}\)
\(t = 12378.7\)
The age of the pottery bowl is 12,378.7 years
PLSS HELP
GIVING 36 POINTS
Answer:
a
Step-by-step explanation:
the data is represented in the dot plot
Answer:
answer is 77.67
Step-by-step explanation:
explain by the x axis is 68 to y axis is 84 so the median is 77.67
If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
Solve PLS HELPPPPP PLS HELP PLS HELP PLS HELPP
Answer:
its -1/6
Step-by-step explanation:
Answer:
The first option
Step-by-step explanation:
First, multiply the fractions in the parentheses. To do this, multiply the numerators (3 * 4) and the denominators (4 * 9)
You get the fraction 12/36, which you can simplify as 1/3.
Now add -1/2 to 1/3.
First, find a common denominator. If you multiply 2 by 3, you get 6. Multiply the numerators by the same number you multiply the denominators by. In -1/2, you multiply 2 by 3 to get 6. So multiply -1 by 3 as well. You get -3/6.
Do the same with 1/3. To get the denominator of 6, you multiplied by 2, so do the same to the top. You get 2/6.
Now just add -3/6 + 2/6 (or subtract 3/6 from 2/6). You get -1/6, so it's the first option.
2895÷229=? write your answer as a whole number and remainder
Answer:
the answer is 12.6419214
for the equation (x+3)(x+1)=1 explain why the solutions are not -3 and -1
Answer:
Step-by-step explanation:
(x+3)(x+1)=1
x²+3x+x+3=1
x²+4x+2=0
x²+4x+4=-2+4
(x+2)²=2
x+2=±√2
x=2+√2
and x=2-√2
so x≠-3
and x≠-1
percent decrease in the value of the car
Answer:
Donde esta el foto
Step-by-step explanation:
translation: how do we answer the mf question without context
Answer:
45% value looked it up
Step-by-step explanation:
byéeeee
Helppp me plsssssss I need this hel me out
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
10,20,11,17,15,8,7,16,19,15
The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.
Given the value:
xi 10 20 11 17 15 8 7 16 19 15 Total = 138
xi^2 100 400 121 289 225 64 49 256 361 225 Total = 2090
From the above, we get
n =10, ∑xi = 138, ∑xi^2 = 2090
(a) For the range:
Here, the smallest value = 10, and largest value = 19
Therefore, Range = Largest value - Smallest value
Range = 19 - 10 = 9
(b) For population variance:
For mean:
Mean of x = ∑xi/n = 138/10 = 13.8
V (X) = ∑(xi^2)/n - Mean of x^2
= 2090/10 - 13.8^2
= 209 - 190.44
V (X) = 18.56
(c) For population standard deviation:
\(SD (X) = \sqrt{VAR(X)}\)
SD(X) = \(\sqrt{18.56}\)
SD(X) = 4.30
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Step-by-step explanation:
The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.
Given the value:
xi 10 20 11 17 15 8 7 16 19 15 Total = 138
xi^2 100 400 121 289 225 64 49 256 361 225 Total = 2090
From the above, we get
n =10, ∑xi = 138, ∑xi^2 = 2090
(a) For the range:
Here, the smallest value = 10, and largest value = 19
Therefore, Range = Largest value - Smallest value
Range = 19 - 10 = 9
(b) For population variance:
For mean:
Mean of x = ∑xi/n = 138/10 = 13.8
V (X) = ∑(xi^2)/n - Mean of x^2
= 2090/10 - 13.8^2
= 209 - 190.44
V (X) = 18.56
(c) For population standard deviation:
SD (X) = \sqrt{VAR(X)}SD(X)=
VAR(X)
SD(X) = \sqrt{18.56}
18.56
SD(X) = 4.30
Learn at brainly(20*18)*5
What the answer
Answer:
1,800
Step-by-step explanation:
(20*18)= 360*5= 1,800
The lines represented by the equations 2y + 5x = –2 and y
- x + 3 are
parallel
Submit Answer
neither parallel nor perpendicular
perpendicular
the same line
Answer:
you should use desmos graphing. When you get there in the top left corner there are 3 lines. press that and scroll down. when you see sarcastic linear regression press that and put the coordinates points I hope this helped :))
the chlorine says the pool needs 1 gallon of pool chemicals for every 10,000 gallons of pool water .Steve has a 55,000 gallon pool.How many gallons of pool chemicals does he need to add to his pool?
Answer: SHEEEESH
Big numberssssss
Step-by-step explanation:
SHEEEESH
Miles picked 12 bushels of vegetables in 3 hours. Working at the same rate, how many bushels
can Miles pick in 5% hours?
Plz help
Answer: 22 bushels
Step-by-step explanation:
First find how many bushels can be done in an hour. Then multiply the bushels by the hours
The hockey team won 60 out of the 80 games it played this year. What percent of the games did the team win?
Is x + 4 and 2(x+2) equivalent?
No
because why not
yeahhhh
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule says you should. Find
dy/dx if y=x by using the Chain Rule with y as a composite of the following functions. Complete parts (a) and (b) below.
Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.
When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.
To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).
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when u, v are nonzero vectors, then span{u, v} contains the line through u and the origin, as well as the line through v and the origin.
The span of the two vectors is the set of all linear combinations of the two vectors. This means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.
1. Start by taking two non-zero vectors u and v.
2. The span of the two vectors is the set of all linear combinations of the two vectors, which means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.
3. Therefore, span{u, v} contains the line through u and the origin, as well as the line through v and the origin.
The span of two non-zero vectors u and v contains the line through u and the origin, as well as the line through v and the origin. Any point on these two lines can be written as a linear combination of u and v.
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a=-2x^2 + 36x
solve for x
Answer:
x= 18,0
Step-by-step explanation:
The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
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Which of the following is another way to label Plane J?
Select one: Plane h Plane
ABD Plane EFG Plane ADF
Check
Plane ADF is another way to label Plane J.
In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.
These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.
Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.
Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.
Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.
Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.
Therefore, Plane ADF is another way to label Plane J.
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Hello i need help please
\(2\cdot20\text{ m}\cdot n+2\cdot20\text{ m}\cdot 5\text{ m}+2\cdot 5\text{ m}\cdot n=1100\text{ m}^2\\40n\text{ m}+200\text{ m}^2+10n\text{ m}=1100\text{ m}^2\\50n\text{ m}=900\text{ m}^2\\n=18\text{ m}\)
PLEASE HELP! WILL GIVE BRAINLIEST!
Graph the following direct variations:
y= 0.6x
You only have to write where you WOULD put the line on a graph, you don't have to actually show it on a graph.
Thank you so so much!
Answer:
in x axis and y axis
Step-by-step explanation:
plz make me brainliest
Answer:
Step-by-step explanation:
It will go through the origin(0,0)
please help and tell me what to put in
Using the two column proof, we have been able to prove that;
ΔPQR ≅ ΔTSR by AAS Congruency Postulate
How to solve two column proof problems?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
Thus, the two column proof required is as follows;
Statement 1: PR ≅ TR
Reason 1: Given
Statement 2: ∠PQR ≅ ∠TSR
Reason 2: Given
Statement 3: ∠PRQ ≅ ∠TRS
Reason 3: Opposite angles
Statement 4: ΔPQR ≅ ΔTSR
Reason 4: AAS Congruency postulate
AAS congruency postulate is one of the 5 major triangle congruency postulates that is defined as Angle-Angle-Side. This tells us that two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.
We can also say that Opposite angles are defined as the angles that are directly opposite each other where two lines cross. The intersection point in this regards is called the vertex, which is the point where the lines connect to form the angle. Opposite angles are also referred to as vertical angles
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What is the value of the expression below -64 5/6
Answer:
389/6
Step-by-step explanation:
thts the answer
Take three hundredths from 6.5
Answer: 6.47
Step-by-step explanation:
a hundredth is .01 so 3 of those would be .03, and 6.5 - .03 is 6.47
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
The percentile of 6.2 in the given data set is 40%.
To determine the percentile of 6.2 in the given data set, we can use the following steps:
Arrange the data set in ascending order:
4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2
Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.
Calculate the percentile using the formula:
Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100
In this case, the percentile of 6.2 can be calculated as:
Percentile = (4 / 10) × 100 = 40%
The percentile of 6.2 in the sample data set is therefore 40%.
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what is 13.6 - x = -64.2
Answer:
13.6 - x = -64.2
Step-by-step explanation:
x = 77.8
13.6 - 77.8 = -64.2 True!
Answer:
x=77.8
Step-by-step explanation:
13.6-x=-64.2
-13.6. -13.6
---------------------
since there is already -x it wouldn't be -77.8 bc that would cancel it out
56x + 40 = 48x + 104
Answer:
56x-48x=104-40
8x=24
X=3
Step-by-step explanation:
the answer is 8
]explanation subtract 56-48 and 104-40 you should get 8x=64
divide 8/8 and 64/8 and the answer is 8