Answer:
No matter if you are on Earth, the moon or just chilling in space, your mass does not change. But your weight depends on the gravity force; you would weigh less on the moon than on Earth, and in space you would weigh almost nothing at all. Where ever you are, your mass will always stay the same.
Answer:
50 kilograms
Step-by-step explanation:
Mass never changes, and is constant everywhere. The weight is what changes. If you weigh 50 kg on Earth, you'll weigh 50 kg everywhere else in the universe. That's because the amount of matter in you cannot change.
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Answer:
What do you want us to answer here?
Step-by-step explanation:
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Find the approximate area under the curve by dividing the intervals into n subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you n1and n2y = 2x underroot x^2 + 1 betwee x=0 and x=6 n1 and n2Find the exact area under the curve using integrationy = 2x underroot x^2 + 1 between x = 0 and x = 6
Explain the reason for the difference in your answers.
n1=12
n2=5
Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:
The function is [tex]2x\sqrt{x^{2}+1}[/tex], then the area under, with interval between 0 and 6 is:
[tex]\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx[/tex]
To solve this integration, use substitution method, in which:
[tex]u=x^{2}+1[/tex]
[tex]\frac{du}{dx}=2x[/tex]
du = 2xdx
Replacing into the integral:
[tex]\int\limits^a_b {\sqrt{u} } \, du[/tex]
Solving:
[tex]\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}[/tex]
Replacing it back to x:
[tex]\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}[/tex]
Substituing limits between 0 and 6:
[tex]= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ][/tex]
= 149.37
Area under the curve using Integration is 149.37 square units
Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.
The method is done by the following relation:
in which
i is the n, the number of subintervals the area is dividing into
Δx is width of each subintervals.
For the function f(x) = [tex]2x\sqrt{x^{2}+1}[/tex], interval between 0 and 6:
subinterval n1 = 12:[tex]\Delta x=\frac{6-0}{12}[/tex]
[tex]\Delta x=[/tex] 0.5
[tex]A=\Sigma f(x_{i}).\Delta x[/tex]
[tex]A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5[/tex]
[tex]A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5[/tex]
A = 131.575 square units
subinterval n2 = 5:[tex]\Delta x=\frac{6-0}{5}[/tex]
Δx = 1.2
[tex]A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2[/tex]
[tex]A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2[/tex]
A = 108.24 square units
Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.
Please answer this correctly without making mistakes
Answer:
What is the question?
Step-by-step explanation:
Plz mark brainliest!!!
5. You make $50 a week and you want to buy a car with an expected payment of $200 a month.
Answer:
what is the question
Step-by-step explanation:
you will not have enough money to pay your car bill though
What is the value of k in the equation k/3-5=34
Answer: What is the value of k in the equation k/3-5=34
Step-by-step explanation: Solution for k/3-5=34 equation: k in (-oo:+oo) k/3-5 = 34 // - 34 k/3-34-5 = 0 1/3*k-39 = 0 // + 39 1/3*k = 39 // : 1/3 k = 39/1/3 k = 117 k = 117
Answer:
k = 117
Step-by-step explanation:
I was just learning this in class...
So basically you need to get the variable k by itself so you add 5 to -5 in the equation and leave k/3 alone and then you add 5 to the other side of the equation also so you add 34+5 and you get 37 so you get k/3=37 and now you multiply 3 by 3 to cancel it out and then you once again do it on the other side of the equation 37 x 3=117 soo that leads you too k=117 YAYYY!!
Find the area of the triangle whose one angle measure is 55°, the other angle is a right angle and the side opposite the 55° angle is 15 units.
Answer:
Step-by-step explanation:
Area of the right angles triangle will be expressed as;
Area of a triangle = 1/2base * height
Let the height of the triangle be 15 units
Get the base;
The base will be the adjacent;
Using the TOA trig identity;
tan 55 = opp/adj
tan 55 = 15/adj
adj = 15/tan 55
adj = 15/7.42
adj = 2.022 units
Area of the triangle = 1/2 * 15 * 2.022
Area of the triangle = 15 * 1.011
Area of the triangle = 15.165units²
Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.
Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).
Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.
books
Part B
What does the point (3, 90) represent on the graph?
A.
Nick volunteers 90 hours in 3 weeks.
B.
Nick earns $90 in 3 weeks.
C.
Nick shelves 90 books in 3 hours.
D.
Nick shelves 90 books on 3 Saturdays.
Answer:
B: A
He earns $90 in 3 weeks.
C
He shelves 90 books in 3 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the least common multiple of 7,9 and 21
Stuck on this last question
Answer:
C.
because both of those decimals can be turned into fractions.
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
C
Step-by-step explanation:
.752 is a rational number and .232323... is a non-terminating repeating number, which is also rational
Find the measure of each angle
Answer:
Answer is in the screenshot provided.
Step-by-step explanation:
Work is also in the screenshot provided.
HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?
Answer:
11
Step-by-step explanation:
Researchers are interested in estimating the percentage of Americans who will get a flu shot this year. How many Americans should be surveyed to be 80% confident that the sample proportion of Americans who will get a flu shot this year is within 0.100 of the population proportion Assume we have a prior estimate of 45%. Round your z critical value to four decimal places.
Answer:
The sample size bedded is [tex]n =41[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.100[/tex]
The sample proportion is [tex]\^ p = 0.45[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.282}{ 0.100} ]^2 *0.45 (1 - 0.45 ) [/tex]
=> [tex]n =41[/tex]
Solve the inequality 5y + 4 < 3y + 17
Answer:
y<13/2
Step-by-step explanation:
5y + 4 < 3y + 17
5y-3y<-4+17
2y<13
y<13/2
Answer:
y<6.5
Step-by-step explanation:
5y+4<3y+17
Subtract 3 from both sides
2y+4<17
Subtractc4 from both sides
2y<13
Divide both sides by 2
y<6.5
21-7y+3x-xy solve by factoring by grouping
Answer:
-(y-3)(x+7)
Step-by-step explanation:
Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?
Answer:
10 apples
Step-by-step explanation:
if Person a bought twice as many apples as person b then it would be ten considering 10 x 2 = 20
eqaution: 10 divided by 2
Faith invested \$1,100 in an account paying an interest rate of 5.1\% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=1100\hspace{35px}r=0.051\hspace{35px}t=18
P=1100r=0.051t=18
Given values
A=1100e^{0.051(18)}
A=1100e
0.051(18)
Answer: 2,750
Explanation:
Plug in
A=1100e^{0.918}
A=1100e
0.918
Multiply
A=2754.70450683
A=2754.70450683
Use calculator (with e button)
A\approx 2750
A≈2750
Round to nearest ten dollars
please heart!
VVV and rate stars! VVV :D
The amount of money after 18 years nearest to ten will be $2,750.
What is continuous compounding?Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.
The equation is given as,
[tex]\rm A=P_o \times e^{r \times t}\\[/tex]
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously.
Then the amount after 18 years is calculated as,
[tex]\rm A = \$1,100 \times e^{0.051 \times 18}\\A = \$1,100 \times e^{0.918}[/tex]
Simplify the equation further, then we have
A = $1,100 x 2.504
A = $2,754.7
The amount of money after 18 years nearest to ten will be $2,750.
More about the continuous compounding link is given below.
https://brainly.com/question/19522540
#SPJ3
The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700 students in 2015, then which of the following models the population n years from 2015?
El valor de las variables
Answer:
25 / 2
Step-by-step explanation:
Find ( D × [tex]\frac{E}{F}[/tex] ) if D = 5, E = 10, F = 4
5 × [tex]\frac{10}{4}[/tex] = 25 / 2
Which of the following values are solutions to the inequality 5 < 7+ 5x?
Answer:
x can equal to anything that is 1 and higher
Step-by-step explanation:
The equation is already correct, you just want to get x as a number that would increase the value.
Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)
x − y + 8z = 8
3x − 9y + z = −1
8x + y = 0
Answer:
Step-by-step explanation:
To create an augmented matrix, we need to transfer the coefficients of each system of equations into its respective place in the matrix. The first row will be the coefficients of the first equation and so on. The number to the right of the equals sign is the last column of the augmented matrix.
[tex]\left[\begin{array}{ccc|c}1&-1&8&8\\3&-9&1&-1\\8&1&0&0\end{array}\right][/tex]
if 4/3h=12, then h = 16 true or falae
false the answer will be 1/9
Please help!!! I need to know the answer to this question quickly please
Which year group is this question from?
(h)/(15)=(16)/(3) i need help- someone help please?
Answer:
h=80
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
H=80
Step-by-step explanation:
15 divided by 5 equals 3, so that means H divided by 5 equals 16. Flip it so your doing 16*5=80.
think of a number, subtract 3 then multiply by 4
Answer:
7 - 3 = 4
4 x 4 = 16
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
12-3= 9
9 times 4 =36
what is x-(3)/(5)=(5x)/(6)? with steps answer fast
hi
x- 3/5 = 5x/ 6
6x - 18/5 = 5x
6x -5x = 18/5
x = 18/5
let's check : 18/5 - 3/5 = 15/5 = 3
5 * 18/5 / 6 = 18/6 = 3
result is correct.
Complete the table of values for this equation:
y = 4x +30
Enter your answer by filling in the boxes
Answer:
42, 46, and 50.
Step-by-step explanation:
We need to plug in each x value to find the y values.
1) y = 4(3) + 30
y = 12 + 30
y = 42
2) y = 4(4) + 30
y = 16 + 30
y = 46
3) y = 4(5) + 30
y = 20 + 30
y = 50
Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0
Answer:
The property shown in matrix addition given is "Additive Inverse Property"
Step-by-step explanation:
First of all lets define what a matrix is.
A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.
There are several addition properties for matrices.
One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.
Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.
[tex]\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right][/tex]
Hence,
The property shown in matrix addition given is "Additive Inverse Property"
last night's Dansball game, there were 4 walks and 15 hits. Express the ratio of walks to hits , written in three different ways
Answer:
4/15, 4:15, 4 to 15
Step-by-step explanation:
Let W be the walks and H the hits, then,
WAY1:
[tex]\frac{W}{H} =\frac{4}{15}[/tex]
WAY2:
W:H⇒4:15
WAY3
W to H ⇒4 to 15
PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
The scale factor of the dilation that transforms the triangle is 1/3
Step-by-step explanation:
9x1/3 is 3. 6x1/3 is 2, etc.
Find the slope of the line passing through the points (-3,-4) and (2, -4). Slope:
Answer:
0
Step-by-step explanation:
Slop of the line=y1-y2/x1-x2
Where x1,y1 point (-3,-4)
And X2,y2 point (2,-4)
So slop= (-4+4)/(-3-2)
=0/-5
So slop is 0