Answer:
I'm guessing the right answer should be B
Find the mass and center of mass of the solid E with the given density rho. E is the cube 0 ≤ x ≤ a, 0 ≤ y ≤ a, 0 ≤ z ≤ a; rho(x, y, z) = 9x2 + 9y2 + 9z2.
Answer:
mass = 9a^5
center of mass = [tex]\frac{7a}{12}, \frac{7a}{12}, \frac{7a}{12}[/tex]
Step-by-step explanation:
Finding the mass of the solid E
given density function : p ( x,y,z ) = [tex]9x^2 + 9y^2 + 9z^2[/tex]
Mass = [tex]\int\limits^a_0 \int\limits^a_0 \int\limits^a_0 {9(x^2+y^2+z^2)} \, dx dydz[/tex] [tex]= \int\limits^a_0 \int\limits^a_0 {9(\frac{a^3}{3}+ay^2+az^2 )} \, dydz[/tex]
[tex]= \int\limits^a_0 {9(\frac{a^4}{3}+\frac{a^4}{3} +a^2z^2 )} \, dz[/tex] [tex]= \int\limits^a_0 {9(\frac{2a^4}{3}+a^2z^2 )} \, dz[/tex] [tex]= 9 ( \frac{2a^5}{3} + \frac{a^5}{3} )[/tex]
( taking limits as a and 0 )
hence Mass = 9 [tex](a^5)[/tex]
finding the center of mass
attached below is solution
I need help on this question, can someone please answer it correctly?
Answer:the one area < with line underneath then -4
St-by-step explanation: I’m pretty sure this is correct
Answer:
[tex] \boxed{x \leqslant - 4}[/tex]Step-by-step explanation:
[tex] \mathrm{16x - 7 \leqslant - 71}[/tex]
Move constant to Right hand side and change its sign
[tex] \mathrm{16x \leqslant - 71 + 7}[/tex]
Calculate
[tex] \mathrm{16x \leqslant - 64}[/tex]
Divide both sides of the equation by 16
[tex] \mathrm{ \frac{16x}{16} \leqslant \frac{ - 64}{16} }[/tex]
Calculate
[tex] \mathrm{x \leqslant - 4}[/tex]
Hope I helped!
Best regards!
A lime passes through the point (5,7) has a slope of 3. Which of the following gives the equation of the line
Answer:
Hey There!! The answer to this is (6, 10) There are no answer choices, so I will just list a few. But first, we need to create the equation.
Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.
So, 7=3*5+b
7=15+b
b = -8
y=3x-8 is your equation.
So, you can plug in any value of x you get a certain value of y.
(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13) Thus, for The correct option (6, 10). Hope It Helped!~ ♡
ItsNobody~ ☆
Answer:
y=3x-8
Step-by-step explanation:
We can start by writing the equation of the line in point-slope form.
Point-slope form is y-y1=m(x-x1)
This is where:
y1= y-coordinate of a given point on the line
m= slope of the line
x1= x-coordinate of a given point on the line
The given point in this example is (5,7)
A point is (x-coordinate, y-coordinate)
Therefore,
y1=7
m=3
x1=5
Plug that into the form.
y-7=3(x-5)
We can now simplify that to slope-intercept form,since that is most standard.
y-7=3(x-5)
Start by distributing the right side.
y-7=3x-15
Add 7 to both sides.
y=3x-8
Which is the ratio of the number of months that begin with the letter M to the total number of months in a year? 2 to 12 2 to 10 10 to 12 12 to 2
Answer:
the answer will be 2 to 12
Answer:
2 to 12
Step-by-step explanation:
just did a quiz got it right
michaela has h hair ties. michaela's sister has triple the number of hair ties that michaela has. choose the expression that shows how many hair bows michaela's sister has
Answer:
[tex]S = 3 h[/tex]
Step-by-step explanation:
Let M represent Michaela hair tier and S represents Michaela sister's
Given
M = h
S = Triple of M
Required
Determine an expression for S
From the given parameters, we have that;
S = Triple of M
Mathematically, this implies;
[tex]S = 3 * M[/tex]
Substitute h for M
[tex]S = 3 * h[/tex]
[tex]S = 3 h[/tex]
Hence, the expression for Michaela sister' is [tex]S = 3 h[/tex]
Which expression is equivalent to 5y^3/(5y)^-2
Answer:
5^3 y^5
125 y^5
Step-by-step explanation:
5y^3/(5y)^-2
Distribute the exponent in the denominator
5y^3/(5 ^-2 y^-2)
A negative exponent in the denominator brings it to the numerator
5y^3 5 ^2 y^2
Combine like terms
5 * 5^2 * y^3 5^2
We know that a^b * a^c = a^(b+c)
5^(1+2) * y^( 3+2)
5^3 y^5
125 y^5
What is the expression
Answer:
3
Step-by-step explanation:
z - 2x
--------
y
Let x = 3 y = -4 and z =-6
-6 - 2(3)
--------
-4
-6 -6
---------
-4
-12
-----
-4
3
Answer:
3
Step-by-step explanation:
To solve this, we need to plug in each of the numbers to the equation.
x = 3, y = - 4, z = - 6
[tex]\frac{z-2x}{y} = \frac{-6-2(3)}{-4}[/tex]
Let's solve the parenthesis first. - 2 * 3 = - 6.
[tex]\frac{-6-6}{-4}[/tex]
We then subtract -6 - 6.
[tex]\frac{-12}{-4}[/tex]
Then, we divide (cancel out the negatives).
[tex]-12 / -4 =3[/tex]
Our final answer is 3. Hope this helps!
please help me out! <3
Answer:
[tex]-1 \frac{3}{4}[/tex]
Step-by-step explanation:
Using this number line, we can plot our original number - [tex]\frac{3}{4}[/tex] (see picture attached)
Adding a negative is the same thing as subtracting - so we are subtracting [tex]2\frac{1}{2}[/tex] from [tex]\frac{3}{4}[/tex].
To subtract this, we can break up [tex]2\frac{1}{2}[/tex] into 3 parts: 1, 1, and [tex]\frac{1}{2}[/tex]. We can subtract each of these from the current number and see where we land up. (again see picture)
We land up at [tex]-1 \frac{3}{4}[/tex].
Hope this helped!
Determine the number of degrees of freedom for the two-sample t test or CI in each of the following situations. (Round your answers down to the nearest whole number.)a. m = 12, n = 15, s1 = 4.0, s2 = 6.0b. m = 12, n = 21, s1 = 4.0, s2 = 6.0c. m = 12, n = 21, s1 = 3.0, s2 = 6.0d. m = 10, n = 24, s1 = 4.0, s2 = 6.0
Answer:
Part a ) The degrees of freedom for the given two sample non-pooled t test is 24
Part b ) The degrees of freedom for the given two sample non-pooled t test is 30
Part c ) The degrees of freedom for the given two sample non-pooled t test is 30
Part d ) The degrees of freedom for the given two sample non-pooled t test is 25
Step-by-step explanation:
Degrees of freedom for a non-pooled two sample t-test is given by;
Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}
Now given the information;
a) :- m = 12, n = 15, s₁ = 4.0, s₂ = 6.0
we substitute
Δf = {[ 4²/12 + 6²/15 ]²} / {[( 4²/12)²/12-1] + [(6²/15)²/15-1]}
Δf = 30184 / 1241
Δf = 24.3223 ≈ 24 (down to the nearest whole number)
b) :- m = 12, n = 21, s₁ = 4.0, s₂ = 6.0
we substitute using same formula
Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}
Δf = {[ 4²/12 + 6²/21 ]²} / {[( 4²/12)²/12-1] + [(6²/21)²/21-1]}
Δf = 56320 / 1871
Δf = 30.1015 ≈ 30 (down to the nearest whole number)
c) :- m = 12, n = 21, s₁ = 3.0, s₂ = 6.0
we substitute using same formula
Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}
Δf = {[ 3²/12 + 6²/21 ]²} / {[( 3²/12)²/12-1] + [(6²/21)²/21-1]}
Δf = 29095 / 949
Δf = 30.6585 ≈ 30 (down to the nearest whole number)
d) :- m = 10, n = 24, s₁ = 4.0, s₂ = 6.0
we substitute using same formula
Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}
Δf = {[ 4²/10 + 6²/24 ]²} / {[( 4²/10)²/10-1] + [(6²/24)²/24-1]}
Δf = 1044 / 41
Δf = 25.4634 ≈ 25 (down to the nearest whole number).
According to the United States Golf Association, the diameter of a golf ball should not be less than 42.67 millimeters. What is the estimate of this value rounded to the nearest tenth of a millimeter?
Answer:
42.7 mm
Step-by-step explanation:
To the nearest tenth of a mm, 42.67 mm would be 42.7 mm.
After estimate of this value rounded to the nearest tenth of a millimeter,
⇒ 42.67 ≈ 42.7
We have to given that,
According to the United States Golf Association, the diameter of a golf ball should not be less than 42.67 millimeters.
Hence, After estimate of this value rounded to the nearest tenth of a millimeter, we get;
⇒ 42.67
As, 7 is grater than 5, so we can add 1 to the tenth place.
⇒ 42.67 ≈ 42.7
Therefore, After estimate of this value rounded to the nearest tenth of a millimeter,
⇒ 42.67 ≈ 42.7
Learn more about the rounding number visit:
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BRAINLIEST ANSWER GIVEN! Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the form is Ax+By=C.
Answer:
y=15x+126
Step-by-step explanation:
the slope is
15 because -8-(-9) is 1 and 6-(-9) is 15 and y is over x so slope 15
To find y intercept start from -8,6 and add 15 to the y value every time you add one to the x value
you will add 8 times and you get 126 as the intercept
John receives a perpetuity paying 2 at the end of year 4, 4 at the end of year 6, 6 at the end of year 8, etc. The present value of this perpetuity at an annual effective rate of 10% equals X. Calculate X
Answer:
45.35
Step-by-step explanation:
From the above question, we are told that the annual effective rate = 10% = 0.10
Note also that payment is been made every 2 years
Hence , we apply the formula of effective interest rate for a period of 2 years.
Effective Interest rate(j) = (1 + r)² - 1
= (1 + 0.10)² - 1
= 1.10² - 1
= 1.21
= 0.21
Present value of perpetuality = t/[j × j/(1 + r)²]
Where t = time in years = 2
r = 0.10
= 2/ [0.21 × 0.21/(1 + 0.10)²
= 54.87528
Present value at time t = 0
= 54.87528(1 + r)^-2
= 54.87528(1 + 0.10) ^-2
= 54.87528(1.10)^-2
= 45.35
Therefore, the present value at time (t) is 0 = 45.35
check to see whether 5 is a solution: 10 + 7g < 44
Answer:
Not a solution
Step-by-step explanation:
We want to check and see if 5 is a solution to the inequality. Therefore, we must substitute 5 into the inequality.
[tex]10+7g < 44[/tex]
Plug 5 in for g.
[tex]g=5[/tex]
[tex]10+7(5) < 44\\[/tex]
First, multiply 5 and 7.
[tex]10 + (7*5) < 44[/tex]
[tex]10 + 35 < 44[/tex]
Next, add 10 and 35.
[tex](10+35) < 44[/tex]
[tex]45 < 44[/tex]
This statement is not true. 45 is not less than 44. Therefore, 5 is not a solution.
Answer:
it is not a solution
Step-by-step explanation:
By replacing the letter g with a 5 the answer would be 45<44 which is not true
determine the missing term x in the geometric sequence below
9,x,225
Answer:
45
Step-by-step explanation:
multiply 9 by 5 to get 45
then, multiply 45 by 5 to get 225
The geometric sequence is 5(previous number)
Evaluate fx, fy, fz at the given point a) f (x, y z) = x³yz² at the point (1, 2, 3) b) f (x, y, z) = x² - 2xy + 3yxz² at the point (3, 1, -2)
Answer:
a) (fx, fy, fz) = (54, 9, 12)b) (fx, fy, fz) = (16, 30, 9)Step-by-step explanation:
a) The partial derivatives of f(x, y, z) = x³yz² are ...
fx = 3x²yz²fy = x³z²fz = 2x³yzAt the given point, these are ...
fx(1, 2, 3) = 3(1²)(2)(3²) = 54fy(1, 2, 3) = (1³)(3²) = 9fz(1, 2, 3) = 2(1³)(2)(3) = 12__
b) The partial derivatives of f(x, y, z) = x² -2xy +3xyz² are ...
fx = 2x -2y +3yz²fy = -2x +3xz²fz = 3xyAt the given point, these are ...
fx(3, 1, -2) = 2(3) -2(1) +3(1)(-2)² = 16fy(3, 1, -2) = -2(3) +3(3)(-2)² = 30fz(3, 1, -2) = 3(3)(1) = 9What is the distance between y=2x+4 and y=2x-1?
Answer:
Y=2(1)+4
Y=2+4
Y=6
Step-by-step explanation:
Please follow me
The first common multiple of two number is 6. What is their fourth common multiple?
Answer:
4th multiple = 24
Step-by-step explanation:
Given
Let the two numbers be represented by m and n
Required
Find the 4th common multiple of the numbers.
From the question, we understand that the first common multiple of m and n is 6.
This can be represented as:
m * n * 1 = 6
mn = 6
Their fourth common multiple can be represented as: m * n * 4
4th multiple = m * n * 4
4th multiple = 4 * mn
Substitute 6 for mn
4th multiple = 4 * 6
4th multiple = 24
Hence, the 4th multiple of both numbers is 24.
The equation| x + 4| = x has solution a. X = -2 b. X = 2 c. X = -4 d. X = 4
Answer:
B) 2
/////////////////
The bowling scores for six people are:
27, 142, 145, 146, 154, 162
What is the most appropriate measure of center?
O A. The standard deviation
O B. The range
O C. The median
O D. The mean
Answer: Option D. will be the answer.
Explanation: The bowling scores for six persons have been given as 27, 142, 145, 146, 154, 162.
The most appropriate measure of the center of these scores will be the median.
Here median will be mean of 146 and 146 because number of persons are 6 which is an even number.
So there are two center scores those are 145 and 146 and median =
Option D. will be the answer.
out of the 444 Fridays Rebecca has been driven to school, only 12/37 of the time did she ever choose to sit in the back seat. How many times did she sit in the front seat?
Answer:
300
Step-by-step explanation:
We need to find 12/37 of 444.
12/37 * 444 = 12/37 * 444/1 = (12 * 444)/(37 * 1) = 5328/37 = 144
She sat in the back seat 144 times out of 444.
444 - 144 = 300
She sat in the front seat 300 times.
what is the domain of this
Answer:
[tex]\boxed{\sf B. \ All \ real \ numbers}[/tex]
Step-by-step explanation:
The domain is all possible values for x.
[tex]f(x)=(\frac{1}{4} )^x[/tex]
There are no restrictions on x.
The domain is all real numbers.
Answer:
B.All real number
hope you have unterstand
A study of 25 graduates of four-year public colleges revealed the mean amount owed by a student in student loans was $55,051. The standard deviation of the sample was $7,568.
Required:
a. Construct a 90% confidence interval for the population mean.
b. Confidence interval for the population men between _______ up to_______________
Answer:
a
The 90% confidence interval is [tex]52561.13 < \mu < 57540.8[/tex]
b
Confidence interval for the population men between $52561.13 up to $57540.8
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 25[/tex]
The sample mean is [tex]\= x = \$ 55,051[/tex]
The standard deviation is [tex]\sigma = \$ 7,568[/tex]
Given that the confidence level is 90% then the level of confidence is mathematically represented as
[tex]\alpha = 100 -90[/tex]
[tex]\alpha = 10\%[/tex]
[tex]\alpha = 0.10[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table the values is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{ \alpha }{2} } * \frac{ \sigma }{\sqrt{n} }[/tex]
substituting values
[tex]E = 1.645 * \frac{ 7568}{ \sqrt{ 25} }[/tex]
[tex]E = 2489.9[/tex]
The 90% confidence interval is mathematically evaluated as
[tex]\= x -E < \mu < \= x +E[/tex]
substituting values
[tex]55051 - 2489.8 < \mu < 55051 + 2489.8[/tex]
[tex]52561.13 < \mu < 57540.8[/tex]
Please help! picture above plus, part B: write the quadratic expression in the numerator and the dominator in factored form. Part C: cancel the common factor of the numerator and the denominator to write the expression in simplified form.
Answer:
work is shown and pictured
Answer:
Hi, there!!!
The answer would be 2(2x-1)/x(x-4).
See explanation in picture.
Hope it helps...
f(x)=−5x^3−4x^2+8x and g(x)=−4x^2+8, find (f−g)(x) and (f−g)(−2).
Answer:
see explanation
Step-by-step explanation:
(f - g)(x) = f(x) - g(x) , that is
f(x) - g(x)
= - 5x³ - 4x² + 8x - (- 4x² + 8) ← distribute parenthesis by - 1
= - 5x³ - 4x² + 8x + 4x² - 8 ← collect like terms
= - 5x³ + 8x - 8
Substitute x = - 2 into this expression, thus
(f - g)(- 2)
= - 5(- 2)³ + 8(- 2) - 8
= - 5(- 8) - 16 - 8
= 40 - 16 - 8
= 16
Write the null and alternative hypotheses you would use to answer this question. Are Americans getting fatter? Researchers interested in this question take a random sample of 500 people and record an average weight of 190 pounds. Ten years ago, the average weight was 185 pounds.
Answer:
H0: u = 185 against Ha: u > 185
or
H0: u ≤ 185 against Ha: u > 185
Step-by-step explanation:
The null and alternative hypotheses for this experiment would be
H0: u = 185 against Ha: u > 185
or
H0: u ≤ 185 against Ha: u > 185
This is a one tailed test .
If the results are such that we reject the null hypothesis and accept the alternative hypothesis it means that the Americans are getting fatter as the mean weight is increasing day by day.
The null hypothesis deals with all the values equal to or less than 185 pounds and the alternative with all the values greater than 185 pounds.
let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship
Answer:
d = s x t
Step-by-step explanation:
The formula for distance.
Which of the functions below could have created this graph?
O A. F(x) = -x' +5x° +7
O B. F(x) = 2x2 - 4x2 +4
O C. F(x)=x2+x+3
O D. F(x) = -5x – 2x+5
Answer:
[tex] \boxed{f(x) = 2 {x}^{9} - 4 {x}^{2} + 4}[/tex]
Option B is the correct option
Step-by-step explanation:
By looking at the end behavior , we can say that the degree of the polynomial must be odd and leading coefficient will be positive.
Thus , the correct choice is B.
Hope I helped!
Best regards!
The polynomial function that could have created the given curve on the xy-plane is [tex]f(x)= 2x^9-4x^2+4[/tex]
What are polynomial function?Polynomial functions aree function having a leading degrees of 3 and greater.
The nature of the curve on the xy-plane depends on its end behaviour. From the given graph, the end behaviour shows that the equivalnt function has a positive leading coefficient and an odd degree.
From the listed option, the function that satisfies both criteria is [tex]f(x)=2x^9-4x^2+4[/tex].
Learn more more polynomial graphs here: https://brainly.com/question/9696642
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HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP HELP ASAP
Answer:
Segment LM Corresponds to RQ
Segment R corresponds to angle M
Answer:
Step-by-step explanation:
six hundred men,six hundred men with big mouths to feed
Figure ABCD is a square find the value of x
Answer:
x=3
Step-by-step explanation:
since its a square all sides equal each other
5x-2=x+10
4x -2 =10
4x=12
x = 3
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5
questions if you guess randomly on each question?
The answer is 1/2 because there are total 10 questions. So, the probability of getting 5 correct answers is 5/10 that is 1/2.
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