Find the median of the data set: 18, 22, 25, 15, 17, 35, 32, 32, 36, 22, 18
Answers
Answer:
32
Step-by-step explanation:
Related Questions
Select the reason that best supports Statement 6 in the given proof.
A. Transitive Property
B. Substitution
C. Addition Property of Equality
D. Subtraction Property of Equality
Answers
Answer:
Step-by-step explanation:
70000000000x50000000000000
Answers
Answer:
Step-by-step explanation: Multiply
70000000000*50000000000000=3.5e+24
At what point do the graphs of the lines below intersect?
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Answers
The solution of the equations y = 9x + 2 and y = - 3x + 12 will be (5/6, 19/2). Then the correct option is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
y = 9x + 2 ...1
y = - 3x + 12 ...2
From equations 1 and 2, then we have
9x + 2 = - 3x + 12
12x = 10
x = 5 / 6
Then the value of 'y' is given as,
y = 9(5/6) + 2
y = 15/2 + 2
y = 19 / 2
The solution of the equations y = 9x + 2 and y = - 3x + 12 will be (5/6, 19/2). Then the correct option is C.
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Which expression is the best estimate of the product of startfraction 7 over 8 endfraction and 8 and startfraction 1 over 10 endfraction?.
Answers
The best estimate of the product is b) 1 times 10.
The expression (7/8)8(1/10) can be simplified by canceling out the factor of 8 in the numerator and denominator. This yields the expression 7/10. Therefore, the best estimate of this expression would be 1 times 10, since 7/10 is closest to 1 when rounded to the nearest whole number, and 10 is the closest whole number to the denominator of 7/10.
Thus, the answer is option b, 1 times 10. It is important to note that when estimating products or other mathematical expressions, it is important to consider the context and choose an estimate that is reasonable and makes sense in the given situation.
Correct Question :
Which expression is the best estimate of the product of (7/8)8(1/10)?
a) 0 times 8
b) 1 times 10
c) 7 times 8
d) 1 times 8
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R(3, 8) is dilated by a factor of 5, centered at (2, 10). Write the coordinates of R’.
Answers
Answer:
The coordinates of R' are \(R'(x,y) = (8,-2)\).
Step-by-step explanation:
According to Linear Algebra, dilation consist in expanding a given vector with respect to one of its endpoints by a scalar. That is:
\(R'(x, y) = C(x,y) + k\cdot [R(x,y)-C(x,y)]\) (Eq. 1)
Where:
\(R(x, y)\) - Original location with respect to origin, dimensionless.
\(C(x,y)\) - Point of reference with respect to origin, dimensionless.
\(k\) - Dilation factor, dimensionless.
\(R'(x, y)\) - Dilated point with respect to origin, dimensionless.
If we know that \(R(x,y) = (3,8)\), \(C(x,y) = (2,10)\) and \(k = 5\), then the dilated point is:
\(R'(x,y) = (3,8) +5\cdot [(3,8)-(2,10)]\)
\(R'(x,y) = (3,8)+5\cdot (1,-2)\)
\(R'(x,y) = (8,-2)\)
The coordinates of R' are \(R'(x,y) = (8,-2)\).
Noah ran 54 miles in 9 days.The graph relating Greta’s total distance to the number of days passes through the points (0,0) and (5,45).Who ran more miles per day?
Answers
Answer: Noah ran more miles
Step-by-step explanation:
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wut type of music are y'all into
Answers
Answer:
ALI-A INTRO PLAYS
Based on statistics from a worldwide health organization, in 2005 there were 29.9 million people worldwide living with a certain disease, and 1.5 million deaths from the disease. By 2015, the number of people living with the disease had fallen to 28.8 million, and 2.6 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw. Part: 0/3 Part 1 of 3 The percent change in people living with the disease was [%, rounded to the nearest tenth of a percent 6 Thrice a number is 60 less than 5 times the number. Find the number.
Answers
The percent change for people living with the disease is 36.78% and with the number of deaths is 60%
In 2005 there were 29.9 million people worldwide living with a certain disease
By 2015, the number of people living with the disease had fallen to 28.8 million
Decrease in number of people living with a disease = 29.9 - 28.8 = 1.1
decrease in percentage of people living with a disease = (1.1/29.9)/100 = 36.78%
In 2005, 1.5 million deaths from the disease
In 2015, 2.6 million deaths were reported
change in number of deaths from the disease = 2.6 - 1.5 = 0.9
Change in percentage = (0.9/1.5) 100 = 60%
Therefore, the percent change for people living with the disease is 36.78% and with the number of deaths is 60%
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A small block moves with an acceleration a along the horizontal surface shown in Fig. The bob at the end of the string maintains a constant angle with the vertical. Show that is a measure of the accel
Answers
Given Data:The small block moves with an acceleration . The bob at the end of the string maintains a constant angle with the vertical. From the figure, we can see that the forces acting on the small block are Tension, T and Normal force, N, and Friction, f. The bob is moving in a circle, so there are two forces acting on it.
Tension, T and Weight, W. Now, let's resolve the forces acting on the small block. We get the following equations:
T cosθ = m1 a.(i)N = m1 g cosθ.(ii)T sinθ = m1 g sinθ - f.(iii)Also, we know that acceleration along the horizontal axis, a = f / m1From equations (i) and (iii), we can substitute f in terms of T and a. Then, we get:T sinθ = m1 g sinθ - m1 aT = (m1 g) / cosθ - m1 a / sinθLet us call this equation (iv)Now, let's resolve the forces acting on the bob.We get the following equations:T = m2 g cosα...(v)T sinα = m2 a...(vi)Here, α is the angle between the string and the horizontal axis.From equations (v) and (vi), we can substitute T in terms of a and g. Then, we get:m2 a sinα = m2 g cosαa = g tanαLet us call this equation (vii)Comparing equations (iv) and (vii), we get:(m1 g) / cosθ - m1 a / sinθ = m2 g tanα(m1 / m2) = cosθ / sinθ tanα.
The block moves with an acceleration, a, along the horizontal surface. The bob at the end of the string maintains a constant angle with the vertical. The forces acting on the small block are tension, T, normal force, N, and friction, f. The forces acting on the bob are tension, T, and weight, W. To find the measure of the acceleration, we need to resolve the forces acting on both the small block and the bob. We get three equations for the small block, namely T cosθ = m1 a, N = m1 g cosθ, and T sinθ = m1 g sinθ - f. We also get two equations for the bob, namely T = m2 g cosα, and T sinα = m2 a. We can solve these equations simultaneously to get the relation between a, θ, α, and g. From equations (i) and (iii), we can substitute f in terms of T and a. Then, we get T sinθ = m1 g sinθ - m1 a. Let us call this equation (iv). From equations (v) and (vi), we can substitute T in terms of a and g. Then, we get m2 a sinα = m2 g cosα. Let us call this equation (vii). Comparing equations (iv) and (vii), we get (m1 g) / cosθ - m1 a / sinθ = m2 g tanα. Simplifying, we get (m1 / m2) = cosθ / sinθ tanα. This is the required relation. Therefore, we have shown that a is a measure of the acceleration.
Therefore, we can conclude that the acceleration a is given by the relation a = g tanα / (cosθ / sinθ) = g tanα cotθ.
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WILL MARK BRAINLIEST What is the length of AB
Answers
Answer:
10
Step by Step Explanation:
First, you would find the distance between -6, 0 and then you would find the distance between -7 and 1.
The distance between -6 and 0 is 6, and the distance between -7 and 1 is 8
Now you use the Pythagorean theorem. So, 6²+8²=c²
36+64=c²
100=c²
c=10
I hope this helps!!!!
The Center for Disease Control and Prevention reports that 25% of bay boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 16 babies is studied.
Answers
Okay, it seems like you want to analyze a sample of 16 babies based on their weight.
The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.
However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?
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PLEASE HELP ASAP
Find the surface area and the volume of the cone:
*Hint: Remember that 10 is the slant height, not the cone height. Use Pythagorean Theorem to find
height.
Answers
Answer:
surface area= 301.6
volume=301.6 again Imao I'm not sure how right that is
Violet was given a box of assorted chocolates for her birthday. Each night, Violet treated herself to some chocolates. Violet ate 4 chocolates each night and there were originally 24 chocolates in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Violet's birthday.
Answers
The equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Violet's birthday is C = 24 - 4t
How to write an equation?Number of chocolate violet eats each night = 4
Number of chocolate originally in the box = 24
Number of chocolate remaining = C
Number of days after violet birthday = t
Number of chocolate remaining = Number of chocolate originally in the box - (Number of chocolate violet eats each night × Number of days after violet birthday)
C = 24 - (4 × t)
C = 24 - 4t
In conclusion, the equation which represents violet's remaining chocolate after her birthday is C = 24 - 4t
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Identify the inverse of f(x) = −1 + x^3. Determine whether it is a function and state its domain and range
Answers
Answer:
y=\(\sqrt[3]{x-1}\)
Step-by-step explanation:
y=x^3-1
Switch y and x
x=y^3-1
Solve for y
x-1=y^3
y=\(\sqrt[3]{x-1}\)
The coordinates of the vertex A of Triangle ABC are ( -4 ,2) and D the mid-point of BC are ( 2 , 5 ).Find the
coordinates of the centroid .
Answers
Answer:
(0,4)
Step-by-step explanation:
The line AD is a median, because D is the midpoint of BC.
The centroid is the point of intersection of three medians of triangle, we don't need to depict any another median, because we know that centroid divide each median in ratio 2:1 from the vertices of a triangle from which a median was depicted. That's obvious that the median AD was depicted from A. Let the point of centroid be M. AM:MD is 2:1. So we should find the coordinates of D
xD= (xa*1+xd*2)/ (2+1)= ((-4)*1+2*2)/3=0
yd= (ya*1+yd*2)/ (2+1)= (2*1+ 5*2)/3=12/3=4
(0,4)
The piston stroke depend on * offset
crank angle
B crank radius the crank angle value when the piston at TDC is...... 120 30 0*2pi B the maximum ratio of crank radius to connected length is *
4
0.25-0.3 0.25 0.3
Answers
The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.
The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.
Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.
It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.
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Determine the radii of convergence of the Taylor series of the functions centered at the indicated pointsz0, without explicitly writing the series.
(a) sinz/e^z,z0=−2
(b) 1/cosz’ , z0=0
(c) z^2+1/(z−i), z0=1+i
Answers
a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.
The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.
(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.
(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.
(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.
Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.
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Which component is missing from the process of photosynthesis? Carbon Dioxide + Water + _________ → Glucose + Oxygen
Answers
Answer:
Sunlight!
Step-by-step explanation:
Carbon Dioxide + Water + Sunglight > Glucose + Oxygen
Answer:
The answer is water
Step-by-step explanation:
If s(x) = 2 – x² and t(x) = 3x, which value is equivalent to (sof)(-7)?
-439
-141
153
443
Answers
Answer:
- 439
Step-by-step explanation:
evaluate f(- 7) and substitute the value obtained into s(x)
f(- 7) = 3(- 7) = - 21 , then
s(- 21) = 2 - (- 21)² = 2 - 441 = - 439
Answer:
A. (s*t)(-7)=-439
Step-by-step explanation:
(s*t)(-7) is the same as s(t(-7)). First find t(-7)
t(-7)=3(-7)=-21
t(-7)=-21
Plug -21 into s(t(-7)) for t(-7).
Find s(-21).
s(-21)=2-(-21)^2=-441+2=-439
Hope this helps!
If not, I am sorry.
help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 2.5, 5.4
Step-by-step explanation:
\(-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4\)
Express the ratio 3/4 to 1/2 ,in its lowest form ...Answer plssss
Express the ratio 3/4 to 1/2 in its lowest form
Answers
To express the ratio 3/4 to 1/2 in its lowest form, we need to simplify it.
What are the steps?The first step is to find the greatest common factor (GCF) of the two numbers. In this case, the GCF of 3 and 4 is 1, and the GCF of 1 and 2 is also 1.
Then, we can divide both numbers by their GCF. 3/4 divided by 1 gives us 3/4, and 1/2 divided by 1 gives us 1/2. So, the lowest form of the ratio 3/4 to 1/2 is 3/4 : 1/2, or 6/8 : 4/8.
We can simplify this further by dividing both numbers by 2, giving us the ratio of 3/4 to 1/2 in its simplest form of 3/4 : 1/2, or 3:2.
This means that for every 3 parts of 3/4, there are 2 parts of 1/2.
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Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions. Zero of -2 having multiplicity 3; f(3)=25.
Answers
Answer: f(x) = (1/8)(x + 5)3
Step-by-Step:
f(x) = a(x + 5)3
f(3) = a(3 + 5)3 = 64
a = 64 / 83 = 82 / 83 = 1/8
Order the steps to solve the equationa. log(x2 - 15) = log(2x) form 1 to 5.b. x2 - 2x - 15 = 0c. Potential solutions are -3 and 5d. 10.00e. x2 - 15 = 2xf. X-5 = 0 or x +3=0g. (x - 5)(x + 3) = 0
Answers
To solve the equation log(x2 - 15) = log(2x), first simplify the logarithmic expression and set it equal to zero. Then, factor the resulting quadratic equation to obtain potential solutions. Finally, check each potential solution to ensure it is valid for the original equation. The solutions are x = 5 and x = -3.
To solve the equation log(x2 - 15) = log(2x), we can follow these steps Apply the rule of logarithms, which states that log(a) = log(b) if and only if a = b. This gives us x^2 - 15 = 2x. Rearrange the equation to get all terms on one side and factor: x^2 - 2x - 15 = 0, which factors as (x - 5)(x + 3) = 0.
Solve for x by setting each factor equal to zero: x - 5 = 0 or x + 3 = 0, which gives us x = 5 or x = -3. Check for extraneous solutions by plugging in each value of x back into the original equation. The final solution set is {5}.
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True or False?
The product of 4 negative numbers is
negative.
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
It's false because if there is an even amount of negative numbers the product will always be even.
Answer:
false
Step-by-step explanation:
e.g
(-2) x (-2) = +4
(-2) x (-2) x (-2) = -8
(-2) x (-2) x (-2) x (-2) = +16
Please help i dont wanna fail this time
Answers
Answer:
Step-by-step explanation:
So...
you would add -4 and -2 1/2 giving the total of -6 1/2.
All thats left is for you to graph it:)
(Please mark brainliest)
Answer:
-4 - 2.5 = -6.5
Step-by-step explanation:
We are taking a Negative 4 (-4) and subtracting it by 2/5 (Minus 2,.5 or - 2.5).
This results us with -6.5
The arrow would be placed on the mark in between the -7 and -6 going RIGHT. ->
--|------>-----|--
-7 -6.5 -6
#teamtrees #WAP (Water And Plant)
Merry Christmas!!
I need help understanding how to solve this problem .
Answers
10*|x|-6=24
10*|x|=30
Divided both sides of the equation by 10
|x|=3
X=3 X=-3
(PLEASE HELP ASAP TYSM LOTS OF LOVE!<3)
A circle has a radius of 30 ft. Which of these is closest to its area?
A. 50 ft²
B. 100 ft²
C. 190 ft²
D. 705 ft²
E. 2,850 ft²
Answers
Answer:
E. 2,850 ft²
Step-by-step explanation:
Answer:
OptionE)
Step-by-step explanation:
Area of a circle = \(\pi r^{2}\)
\(3.14X30X30\)
= \(2826\)
Hence the closest is 2,850
graph of f(x)=0.5(4)^x
Answers
The graph of the exponential function is on the image at the end.
How to find the graph of the exponential function?Here we want to graph the function:
f(x) = 0.5*(4)ˣ
To graph this (or any function) we can find some points on the function, and to do so, we need to evaluate it.
when x = 0:
f(0) = 0.5*(4)⁰ = 0.5
Then the point is (0, 0.5)
when x = 1
f(1) = 0.5*(4)¹ = 2
So we have the point (1, 2)
if x = 2
f(2) = 0.5*(4)² = 8
So we have the point (2, 8)
Now we can graph these points and connect them with a general exponential curve.
The graph of the exponential function is shown below.
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Can an acute angle be equal to 90?
Answers
No, acute angle can not be equal to 90. if an angle equal to 90 then it is a right angle.
Acute angle
An angle smaller than the right angle is called an acute angle. In other words, the angle which is less than 90 degrees forms an acute angle.
An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle (which is equal to 90 degrees). For example, ∠30o, ∠45o, ∠60o, ∠75o, ∠33o, ∠55o, ∠85o, etc. are all acute angles.
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Sally is 12 years old and Uncle Mike is three times as old. How many years must pass before her Uncle Mike is only twice as old as Sally? How many years ago was Uncle Mike 7 times as old?
Answers
Answer:
Uncle Mike was 7 times as old as Sally 17 years ago.
Step-by-step explanation:
Let's call Uncle Mike's current age "x."
Sally is 12 years old, so x = 12 * 3 = 36 years old.
We are looking for years that must pass before Uncle Mike is only twice as old as Sally. So we need to find the age when x = 2 * (12 + n), where n is the number of years that have passed. Solving for n:
36 = 2 * (12 + n)
36 = 24 + 2n
12 = 2n
n = 6
So, six years must pass before Uncle Mike is only twice as old as Sally.
To find out how many years ago Uncle Mike was 7 times as old as Sally, we need to find the age when x = 7 * (12 - m), where m is the number of years ago. Solving for m:
36 = 7 * (12 - m)
36 = 84 - 7m
120 = 7m
m = 17
So, Uncle Mike was seven times as old as Sally 17 years ago.