Mathematics College

evaluate the surface integral:S

(x^2z + y^2z) dS
S is the hemisphere
x2 + y2 + z2 = 9, z ≥ 0

Answers

Answer 1
Assuming [tex]S[/tex] does not include the plane [tex]z=0[/tex], we can parameterize the region in spherical coordinates using

[tex]\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle[/tex]

where [tex]0\le u\le2\pi[/tex] and [tex]0\le v\le\dfrac\pi/2[/tex]. We then have

[tex]x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v[/tex]
[tex](x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v[/tex]

Then the surface integral is equivalent to

[tex]\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du[/tex]

We have

[tex]\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle[/tex]
[tex]\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle[/tex]
[tex]\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle[/tex]
[tex]\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v[/tex]

So the surface integral is equivalent to

[tex]\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du[/tex]
[tex]=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv[/tex]
[tex]=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw[/tex]

where [tex]w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv[/tex].

[tex]=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}[/tex]
[tex]=\dfrac{243}2\pi[/tex]

Related Questions

Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true? Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent. Both plans cost the same when 22 texts are sent. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent. Both plans cost the same when 50 texts are sent

Answers

Let's turn that into a linear system:
[tex] \left \{ {{y=0.05x+20} \atop {y=0.25x+10}} \right. [/tex]
Set the equations equal to each other and solve:
[tex]$0.05x+20=0.25x+10$[/tex]
[tex]$0.2x=10$[/tex]
[tex]$x=50$[/tex]
We then plug in to get [tex]$y$[/tex]:
[tex]$0.25(50)+10=22.5$[/tex]
The solution to the system is [tex] \left \{ {{x=50} \atop {y=22.5}} \right. [/tex].
Now, let's turn our attention to the statements.
The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!
The second one is also false: we already figured out that the lines intersect at [tex]$x=50$[/tex].
The third statement is also false: as above, the lines intersect at [tex]$x=50$[/tex].
The fourth statement is true: the lines intersect at [tex]$x=50$[/tex].

In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.

Answer:

d

Step-by-step explanation:

took the test yahoot

7^-2 without exponent

Answers

[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ 7^{-2}\implies \cfrac{1}{7^2}\implies \cfrac{1}{49}[/tex]
in any negative exponent problem all you do is flip the number(s) and or variable(s).
Ex: (7x)^-1 ----> 1 over 7x or 1/7x
Ex: (5/8x)^-1 ------> 8x over 5 or 8x/5

A single batch of cookies requires two cups of sugar and three cups of flour. if more than one batch or a partial batch was made, the unit rate of sugar to flour would remain the same. match the correct amount of sugar to the correct amount of flour to keep the same unit rate of sugar and flour in a single batch. 11.5 cups of flour 4.5 cups of sugar 6.75 cups of flour 12 cups of flour 5 cups of sugar 11.25 cups of flour 7.5 cups of sugar 7.5 cups of flour 8 cups of sugar 4 cups of sugar

Answers

The ratio of flour to sugar is 3:2, whatever the unit is.

First write down the amounts of flour (in cups)
11.5 
6.75
12
11.25
7.5
then write down two-third of the values of flour on the right to represent the number of cups of sugar
11.5    7.67
6.75   4.5
12      8
11.25 7.5
7.5     5

Then check if all the amounts of sugar are on the list.
It seems that 6 cups of flour (to match 4 cups of sugar) and 7.67 cups of sugar (to match 11.5 cups of flour) are missing.

Please check for typos.

Answer:11.5

Step-by-step explanation: 11.5

The average national basketball association player is over 6 feet tall. the average horse jockey is shorter than 5 1/2 feet tall. this is because height provides nba players with:

Answers

Final answer:

Height is crucial for NBA players due to its impact on their performance. Z-scores help compare player heights to the average. Taller stature offers basketball players notable advantages.

Explanation:

Height is a critical factor for NBA players as it can significantly impact their performance, especially in areas like rebounding, shot-blocking, and scoring.

Z-score calculations help determine how a player's height compares to the average, with values above the mean indicating taller heights, which are advantageous in basketball.

Being taller provides NBA players with advantages in terms of reaching high for shots, blocking opponents, and having a better field of vision on the court.

A dozen eggs cost $1.10 in Dover.  In Ensley, the eggs cost 10% more than in Dover.  Find the price of a dozen eggs in Ensley.

Answers

1.10 multiplied by .10 = .11
1.10 + .11 = 1.21

In Ensley, the price of a dozen eggs costs $1.21.

Hope this helps.

Final answer:

The price of a dozen eggs in Ensley is $1.21.

Explanation:

To find the price of a dozen eggs in Ensley, we need to consider that the eggs in Ensley cost 10% more than in Dover. If a dozen eggs in Dover cost $1.10, we can calculate the 10% increase by multiplying $1.10 by 1.10:

$1.10 x 1.10 = $1.21

Therefore, a dozen eggs in Ensley cost $1.21.

The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

Answers

In all triangles, inner angles add to 180 degrees.
In an isosceles triangle, the base angles are the same and the vertex angle is different from the rest.

b= (180-40)/2
b= 140/2
b=70

Final answer: 70 degrees

The price of 1 lb of potatoes is $ 1.65. if all the potatoes sold today at the store bring in $ 1220, how many kilograms of potatoes did grocery shoppers buy?

Answers

1220/1.65 = 739.39 pounds of potatoes were sold

1 pound = 0.453592 kilograms

739.39 x 0.453592 = 335.38 kilograms

Final answer:

By dividing the total sales of $1220 by the price per pound ($1.65), we find that approximately 739.39 pounds were sold, which converts to roughly 335.38 kilograms of potatoes purchased by grocery shoppers.

Explanation:

To calculate the number of kilograms of potatoes grocery shoppers bought, we need to use the given prices and total sales. Since the price of 1 lb of potatoes is $1.65, we can find the total weight of the potatoes sold by dividing the total sales amount by the price per pound:

Total weight in pounds = Total sales                      
                     = $1220                      
                     = $1220 / $1.65                
                     = 739.39 pounds approximately

Next, we need to convert pounds to kilograms. There are approximately 2.20462 pounds in 1 kilogram. The conversion is:

Total weight in kilograms = Total weight in pounds / 2.20462

                         = 739.39 / 2.20462
                         = 335.38 kilograms approximately

Therefore, grocery shoppers bought approximately 335.38 kilograms of potatoes.

Solve 2x2 + 26 = 0 to identify the roots.

Answers

Answer:

[tex]x=+/-i\sqrt{13}[/tex]

Step-by-step explanation:

To find the roots, factor and set equal to 0 or use the quadratic formula. This quadratic equation does not factor and must be solved using the quadratic formula.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

where a = 2, b=0, and c=26

[tex]x=\frac{0+/-\sqrt{0^2-4(2)(26)} }{2(2)} \\x=\frac{+/-\sqrt{-208)} }{4} \\x=\frac{+/-i\sqrt{16*13)} }{4}\\x=\frac{+/4i\sqrt{13} }{4}\\x=+/-i\sqrt{13}[/tex]


Answer:

Step-by-step explanation:

X=-i√13,x=i√13

If you know out of 140 pounds, 60 pounds is muscle weight, what is the muscle weight of a 200 pound male?

Answers

you can cross multiply on this and then solve. 

140 / 60 = 200 / x
140x = 12000
x= 85.7142857143
x= 85.7

Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions of this differential equation. (enter your answers as a comma-separated list of equations.)

Answers

The constant solutions are given by [tex]\(y'' = 0\) and \(y' = 0\)[/tex].

The equilibrium solutions of the given differential equation [tex]\(ay'' + by' + cy = d\)[/tex] are found by setting the derivatives equal to zero.

1. Setting [tex]\(y'' = 0\)[/tex]: When [tex]\(y'' = 0\)[/tex], the equation becomes [tex]\(a \cdot 0 + b \cdot 0 + c \cdot y = d\)[/tex]. Solving for y, we get [tex]\(cy = d\)[/tex], and therefore, [tex]\(y = \frac{d}{c}\)[/tex].

2. Setting [tex]\(y' = 0\)[/tex]: When [tex]\(y' = 0\)[/tex], the equation becomes [tex]\(a \cdot 0 + b \cdot 0 + c \cdot y = d\)[/tex]. Again, solving for y, we obtain [tex]\(cy = d\)[/tex], and hence, [tex]\(y = \frac{d}{c}\)[/tex].

So, the constant solutions are [tex]\(y = \frac{d}{c}\)[/tex], and this is the equilibrium solution for the given differential equation.

Therefore, the constant solutions are given by [tex]\(y'' = 0\) and \(y' = 0\)[/tex].

What is the slope intercept equation of the line below

Answers

y=(m)(x)+b
so you already have the slope=-6/5 and the intercept is 3
y=-(6/5)x+3

p=m/1+rt solve for t

Answers

I assume you mean:

P=m/(1+rt)  multiply both sides by (1+rt)

P(1+rt)=m  perform indicated multiplication on left side

P+Prt=m  subtract P from both sides

Prt=m-P  divide both sides by Pr

t=(m-P)/(Pr)
Hello there! Thank you for asking your question here at Brainly. I will be assisting you with answering this question, and will teach you how to handle it on your own in the future.

(1) First, let's take a look at what we're dealing with.

We have an equation; 
P = m/1 + rt, solve for t.

(2) Understand the problem, and know how to handle it.

Since we're solving for t, we need to isolate t by performing the opposite order of operations on the side that t is on.

(3) Take action once procedures (1) and (2) are understood/done.

P = m/1 + rt
We can get rid of the "1" in the equation, as multiplying anything by 1 does nothing.
Now we have:
P = m + rt

Now, we need to subtract m from both sides to isolate rt.

P - m = rt
Now to solve for t and the problem overall, we need to divide both sides by r.
[tex] \frac{P - m}{r} [/tex] = t

Your final solution for t is:

t = [tex] \frac{P - m}{r} [/tex]

Remember your 3 steps:
(1) Examine what you're dealing with.
(2) Understand the problem that's been given to you, and how to handle it.
(3) Apply the proper steps to come to your solution.

I hope this helps!

how much larger is 1 ft in one cubic inch

Answers

Simply plugging in the dimensions into Google's easy Volume converter I found a cubic foot is 1728 times bigger than a cubic inch. In other words 1728 cubic inches fit into a cubic foot.

If the rate of inflation is 3.7% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. =pt400( 1.037)t Find the current price of the item and the price 8 years from today. Round your answers to the nearest dollar as necessary.

Answers

well, for the current price today, let's see, not even one day has passed, to we don't have a "t" value that's greater than 0, so since today 0years and 0days and 0seconds have passed, t =0

[tex]\bf p(t)=400(1.037)^0\implies p(t)=400\cdot 1\implies \boxed{p(t)=400}[/tex]

now, 8 years from now, well, 8 years would had passed by then, t = 8

[tex]\bf p(t)=400(1.037)^8\implies p(t)\approx 400\cdot 1.3373037\implies \boxed{p(t)\approx 535}[/tex]
P (t)=400 (1.037)^t
The current price is 400

The price 8 years from today is
P (8)=400×(1.037)^(8)=534.9 round your answer to get 535

How do you write 314,207 in word form

Answers

three hundred fourteen thousand and 207

Mark deposited $9,000 into two saving accounts bearing simple interest. One of the accounts has an interest rate of 8% while the other rate is 7%. If the total interest earned after one year is $700, find the amount deposited into each of the accounts

Answers

0.07x+0.08 (9000-x)=700
Solve for x
0.07x+720-0.08x=700
0.07x-0.08x=700-720
-0.01x=-20
X=20÷0.01
X=2,000 invested at 7%

9000-2000=7000 invested at 8%

If you earn $3500 per month and you expect your earnings to increase by 2.3% per year, how much do you think you will be making in 10 years? (Express your answer rounded correctly to the nearest cent!)

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &3500\\ r=rate\to 2.3\%\to \frac{2.3}{100}\to &0.023\\ t=\textit{elapsed time}\to &10\\ \end{cases} \\\\\\ A=3500(1+0.023)^{10}[/tex]

Final answer:

Your expected monthly earnings in 10 years, with a 2.3% annual increase, would be $4424.10, rounded to the nearest cent.

Explanation:

To calculate your expected monthly earnings in 10 years, taking into account a 2.3% annual increase, we will use the formula for compound interest: P(1 + r)^n, where:

P is the principal amount (your current earnings)

r is the annual raise rate

n is the number of years

Your current monthly earnings are $3500. The annual raise rate is 2.3%, so r is 0.023 when expressed as a decimal. The number of years, n, is 10.

Plugging the values into the formula, we get:

Earnings in 10 years = $3500 * (1 + 0.023)^10

Calculating the result, we find that your expected monthly earnings in 10 years are:

$4424.10

A trucker had a load of grain containing 2 tons. She unloaded 1 ton 1,200 pounds at the warehouse. How much grain does she still have left on the truck?

Answers

theres 2000 pounds in a ton. so 4000 pounds in total and she takes away 3200. 4000 - 3200 is 800. the answer is 800 pounds
800 pounds is the answer

The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x , where x is his monthly income. f^-1x . The variable x represents in the inverse function. If John's spending limit is $60,000, his monthly income is .

Answers

1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most 

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

 f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000


[tex]x= \frac{y-15,000}{1.5} [/tex]

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:

[tex]x=g(y)=\frac{y-15,000}{1.5} [/tex]

since we generally use the letter x for the variable of a function, we write g again as:

[tex]g(x)=\frac{x-15,000}{1.5} [/tex]

for example :

[tex]g(50,000)=\frac{50,000-15,000}{1.5}= \frac{35,000}{1.5}= 23,333 [/tex]

tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is 

[tex]g(60,000)=\frac{60,000-15,000}{1.5}= \frac{45,000}{1.5}=30,000 [/tex]
 dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation [tex]f ^{-1}(x) [/tex]



Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks? 4 of 60

Answers

309 Dollars were earned by Erika for both weeks

we know that

Erika earns [tex]\$9[/tex] per hour

so

By proportion

Find how much she earn during the total hours of two weeks

The total hours of two weeks is equal to

[tex]14+20=34\ hours[/tex]

[tex]\frac{9}{1} \frac{\$}{hour} =\frac{x}{34} \frac{\$}{hours} \\ \\x=34*9 \\ \\x=\$306[/tex]

therefore

the answer is

[tex]\$306[/tex]

9.8 is 2% of what number

Answers

The answer would be 490
Answer is 490
Work:
9.8 / .02
= 490 

Two perpendicular lines intersect at the origin. If the slope of the first line is .5, what is the equation of the second line?. .

Answers

The origin is at the point (0,0). Therefore, the y-intercept will be 0. For two points to be perpendicular, the slopes must be opposite reciprocals of each other. .5 can be seen as 1/2, so the reciprocal is 2, and it is positive, making that 2 negative. Your equation would be y = -2x. 

Tony plans to deposit​ $1,000 at the end of each of the next three years. if his funds earn​ 5% compounded​ annually, how much will he have at the end of three​ years?

Answers

Final answer:

Tony will have a total of $3,152.50 after depositing $1,000 annually for three years in an account with 5% interest compounded annually, by calculating the future value of each deposit and summing them up.

Explanation:

When Tony deposits $1,000 at the end of each year into an account that earns 5% interest compounded annually for three years, we need to calculate the future value of an annuity. Each deposit will earn interest for a different amount of time based on when it was deposited.

The first $1,000 will earn interest for two years.

The second $1,000 will earn interest for one year.

The third $1,000 will not earn interest, as it is deposited at the end of the third year.

The formula to calculate the future value of each deposit is:

Future Value = Principal × [tex](1 + Interest rate)^{number of years}[/tex]

Calculating each separately:

First deposit: $1,000 × [tex](1 + 0.05)^2[/tex] = $1,102.50

Second deposit: $1,000 × [tex](1 + 0.05)^1[/tex] = $1,050.00

Third deposit: $1,000 × [tex](1 + 0.05)^0[/tex] = $1,000 (as it earns no interest)

Adding them together gives us the total amount Tony will have at the end of three years:

Total amount = $1,102.50 + $1,050.00 + $1,000 = $3,152.50.

Therefore, at the end of three years, Tony will have $3,152.50 in his account.

Four students did a survey to find the soda flavor sixth-grade students perefer. The table below shows the method each student used to conduct the survey:
Student. Method
Trey- asked 100 students at random from his seventh- grade class what their favorite soda flavor is
Jesse- asked 100 sixth-grade students at random what their favorite soda flavor is
Nita-asked 100 eighth-grade students at random what their favorite soda flavor is
Ruben- asked 100 third- grade students at random what their favorite soda flavor is
Which students survey is most likely not biased?
Trey
Jesse
Nita
Ruben

Answers

The survey which is least likely to be biased is the one from the youngest group of students. The third grade student's survey is least likely to be biased because younger children are less likely to lie. On the other hand the older the students the greater their awareness is for the ability to misrepresent or completely lie. So, the correct answer is RUBEN

Find the value of each determinant

Answers

now, recall that, to get the determinant of a 3x3 or higher matrix, you pick a column or row to get the cofactors, also recall that the cofactors need to go witht the checkerboard pattern, so   [tex]\bf \begin{bmatrix} +&-&+&-&+&...\\ -&+&-&+&...\\ +&-&+&-&+&... \end{bmatrix}[/tex]  and so on.

so, let's use the last column, 2,0,4, because it has a zero there, and we can use that as a cofactor to simply get a 0 as a product with the minor.

[tex]\bf \begin{bmatrix} 4&-1&\boxed{2}\\ 6&-1&\boxed{0}\\ 1&-3&\boxed{4} \end{bmatrix}\impliedby \textit{let's use the 3rd column for our cofactors}\\\\ -------------------------------\\\\ \begin{bmatrix} &&\boxed{2}\\ 6&-1&\\ 1&-3& \end{bmatrix}\implies +2 \begin{bmatrix} 6&-1\\1&-3 \end{bmatrix}\implies +2[(-18)-(-1)] \\\\\\ +2(-17)\implies -34\\\\ -------------------------------\\\\[/tex]

[tex]\bf \begin{bmatrix} 4&-1&\\ &&\boxed{0}\\ 1&-3& \end{bmatrix}\implies -0 \begin{bmatrix} 4&-1\\1&-3 \end{bmatrix}\implies -0[(-12)-(-1)]\implies 0\\\\ -------------------------------\\\\ \begin{bmatrix} 4&-1&\\ 6&-1&\\ &&\boxed{4} \end{bmatrix}\implies +4 \begin{bmatrix} 4&-1\\6&-1 \end{bmatrix}\implies +4[(-4)-(-6)] \\\\\\ +4[2]\implies 8\\\\ -------------------------------\\\\[/tex]

so our determinant comes down to the sum of those three products... so -34 -0 + 8.

and surely you know how much that is.
Final answer:

The question is about finding the value of a determinant for matrices, a fundamental concept in Mathematics, especially linear algebra. For 2 × 2 matrices, the determinant calculation is straightforward and essential for various applications.

Explanation:

The subject of this question is clearly Mathematics, specifically it pertains to linear algebra and the concept of determinants. The task involves finding the value of a determinant for a given matrix. For a 2 × 2 matrix, the determinant is found using a simple formula: if the matrix is given by

\[\begin{pmatrix} a & b \\ c & d \end{pmatrix}\]

then the determinant is calculated as \(ad - bc\). Additionally, the determinant provides important information about the matrix, such as whether the matrix is invertible and the product of its eigenvalues.

To understand determinants for larger matrices, a recursive approach is often used, breaking down the determinant into smaller matrices until 2 × 2 matrices are reached, where the simple formula can be applied. Also of note is that the determinant of the product of two matrices is equal to the product of their determinants (det(AB) = det(A)det(B)).

This fundamental concept is crucial for many applications in mathematics, including solving systems of linear equations, finding eigenvalues, and understanding linear transformations.

In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level of about 95 percent, whats the smallest random sample we can get away with, regardless of the size of the target population

Answers

Let n =  required random sample size.

Assume that the population standard deviation is known as σ.
Let m =  sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.

91284 the nearest ten thousand

Answers

91284 the nearest ten thousand is 9
91284 rounded to the nearest ten thousand is 91, 000
Its more closer to 91,000 then 92,000

Round 65.85 to the nearest whole number

Answers

66.

Since the value after the decimal place is above 5, it rounds to 66 and not 65

HELP? The two models shown have the same volume. Complete the equation and expression below about the volume of each figure.

Answers

36+12=48

48-16=32 

ive completed that lesson

Answer : The volume blue prism in Model 1 is, [tex]32in^3[/tex]

Step-by-step explanation :

As we are given that:

Volume of Model 1 = Volume of Model 2

Given:

Volume of blue prism in Model 2 = [tex]36in^3[/tex]

Volume of orange prism in Model 2 = [tex]12in^3[/tex]

Volume of orange prism in Model 1 = [tex]16in^3[/tex]

Now we have to calculate the total volume of Model 2.

Total volume of Model 2 = [tex]36in^3+12in^3[/tex] = [tex]48in^3[/tex]

Now we have to calculate the volume blue prism in Model 1.

Volume of Model 1 = Volume of Model 2

Volume of orange prism in Model 1 + Volume blue prism in Model 1 = Total volume of Model 2

[tex]16in^3[/tex] + Volume blue prism in Model 1 = [tex]48in^3[/tex]

Volume blue prism in Model 1 = [tex]48in^3-16in^3[/tex]

Volume blue prism in Model 1 = [tex]32in^3[/tex]

Thus, the volume blue prism in Model 1 is, [tex]32in^3[/tex]

After 5 years of earning interest at an annual rate of 3% an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the initial investment

Answers

[tex]\bf \qquad \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\to &\$950\\ P=\textit{original amount deposited}\\ r=rate\to 3\%\to \frac{3}{100}\to &0.03\\ t=years\to &5 \end{cases} \\\\\\ 950=P\cdot 0.03\cdot 5[/tex]

solve for P.
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What is the rate of growth as a percent for 23(1.0032) I need help asap!!!!Which best describes the rule of law?A. The idea that laws should be generally obeyed at all times.B. the idea that whomever writes the laws should rule.C. The idea that trade agreements should be written into law.D. the Idea that failed states should have no rules or laws. the question isssssssss Look closely at the image above. When you look at this image, how would you describe it? Where does your eye want to go when you look at this piece? Include the elements of design and/or vocabulary terms in your response. What is the difference between electron configuration and valence electron configuration? For a type of cat, short whiskers are dominant (s) and long whiskers are recessive (s). the punnett square below shows a cross between two cats. what is the phenotype ratio for this cross? Which is a waste product carried away from your sales by the cardiovascular system Solve the equation by completing the square. Round to the nearest hundredth if necessary x^2+3x=25 How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally Channel is a 43 year old female who has been in sexual relationships with both men and women in the past. she is presently dating a 32 year old female and is thinking of moving to a state which legally recognizes the marriage between two women. she is thinking of getting married to her partner, despite still admitting that she finds both men and women attractive. channel is considered _____________ in terms of her sexual orientation The largest mass extinction event in the history of the Earth occurred at the end of the _______ period. We did not find results for: A measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's weight in grams and inversely as the person's sitting height in centimeters. A person with a pelidisi below 100 is considered to be undernourished, while a pelidisi greater than 100 indicates overfeeding. A person who weighs 48,820 g with a sitting height of 78.7 cm has a pelidisi of 100. Find the pelidisi (to the nearest whole number) of a person whose weight is 54,688 g and whose sitting height is 72.6 cm. Is this individual undernourished or overfed?The pelidsi is _____Round to the nearest integer as needed.. What was the main reason for interracial marriages in the New World?The encomienda system required the Spanish settlers to marry indigenous women.The Spanish missionaries believed interracial marriages would help spread Christianity.Most of the Spanish immigrants were male, so many of them married indigenous women.The male settlers found the women of the indigenous tribes much more considerate. Can anyone explain why some communities might be opposed to treating wastewater and converting it into drinking water? According to research, it appears that people in the minority _____ the norms of the dominant group and learn to be _____ their own group. are prejudiced against; always tolerant of internalize; prejudiced against externalize; critical of reject; accepting of According to a study by byers et al., older adults were _____ to be depressed if they were providing support for their adult children than if they are distant from them. _____ do not have question marks-they are a statement that refers to a question, but they aren't actually asking a question.a. indirect questionb. tag questionc. polite requestd. commandsI thought a, someone else said d. What do you think and why? What is the primary mode of transmission of microorganisms to food and food contact surfaces? Outside a home, there is a 6-key keypad that can be used to open the garage if the correct four-digit code? is entered. (a) How many codes are possible? (b) What is the probability of entering the correct code on the first try, assuming that the owner doesn't remember the code? Find the present value pv of the given investment. an investment earns 2% per year and is worth $40,000 after 8 years. Steam Workshop Downloader