Answer:
E(-9)≈3.4936
Step-by-step explanation:
Calculate the arc length of the following curve from x = 0 to x = π/2:
y(x) = -1 + 3 cos(x)
Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.
Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:
s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx
Hint: | What is d/dx(-1 + 3 cos(x))?
Compute the derivative d/dx(-1 + 3 cos(x)):
= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx
Hint: | Can the integrand be simplified?
Simplify sqrt(1 + (-3 sin(x))^2):
= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx
Hint: | Can this integral be computed?
Compute the definite integral:
Answer: E(-9)≈3.4936
rocky thinks of an odd integer adds the next two consecutive integers which of these could be the sum
a) 44560
b)44561
c)44562
d)44563
Step-by-step explanation:
First, we have to prove that the sum of 3 consecutive integers is a multiple of 3.
Let x be the smallest of the 3 consecutive integers. We have (x + 1) and (x + 2) as our other consecutive integers.
Notice that x + (x + 1) + (x + 2) = 3x + 3 = 3(x + 1), which is a multiple of 3.
Hence we have proven our point. Back to the question:
The possible sum has to be a multiple of 3. Searching the options, only 44562 is a multiple of 3. (44562 / 3 = 14854) Hence 44562 is the answer. (C)
how do i graph the following X=4
Answer:
Impossible you can’t
Step-by-step explanation:
Which is a perfect square?
Answer:
I can't see anything
A perfect square is the product of a rational number multiplied by itself.
Examples: 20 square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.
Hope this helps
i need help on My homework help me
Answer:
x = 18
Step-by-step explanation:
1/2 x - 7 = 1/3 (x - 12) Remove the brackets on the right
1/2x - 7 = 1/3 x - 12*1/3
1/2x - 7 = 1/3 x - 4 Subtract 1/3 x from both sides
1/2x - 1/3x - 7 = - 4 Combine like terms on the left
1/6x - 7 = - 4 Add 7 to both sides
1/6 x = - 4 + 7 Combine the right side
1/6 x = 3 Multiply both sides by 6
6 * 1/6x = 3*6
x = 18
find the slope of each line
5. y= -2x+5. 6. 3x+6y=12
Answer:
5. Slope = -2x
(Full system: y = -2x + 5)
6. Slope = -1/2x
(Full system: y = -1/2 +6)
write at equation for the line that is perpendicular to the given line and that contains the given point
y=-1/3x + 5 ; (2,5)
Answer:
y=3x-1
Step-by-step explanation:
Convert -1/3 to 3, since its perpendicular. then plug (2,5) for y=3x+b. The answer should be y=3x-1
X 2/4/8/10/16
Y 12458
O y= 2 x
O y=1 x
O y=x-1
Oy= x=2
Answer:
y = 1/2 x
Step-by-step explanation:
Given the table
X 2//4//8//10//16
Y 1//2//4//5//8
We are to find the equation that represent the table
Using the coordinates of x and y components from the table (2, 1) and (4, 2)
The standard expression for the equation is expressed as y = mx+c
m is the slope
c is the y-intercept
Get the slope;
m = y2-y1/x2-x1
m = 2-1/4-2
m = 1/2
Get the intercept c:
Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c
1 = 1/2(2) + c
1 = 1+c
c = 1-1
c = 0
Get the required equation
Recall that: y = mx+c
y = 1/2 x + 0
y = 1/2 x
Hence the required equation is y = 1/2 x
Determine whether the relation is a function.
A garden is in the shape of a square with a perimeter of 36 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 3 3 feet from the first fence on the outside. If the material used to build the two fences is $ 1.32 $1.32 per foot, what was the total cost of the fences
Answer:
$110.88
Step-by-step explanation:
Let L be the length of the first fence surrounding the garden and P its perimeter.
For a square, P = 4L,
So, L = P/4
Since P = 36 feet,
L = P/4
= 36/4
= 9 feet
Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3
= 9 + 3
= 12 feet.
So, the perimeter of the second fence is P' = 4L'
= 4 × 12 feet
= 48 feet.
So, the total length of the two fences is P" = P + P'
= 36 feet + 48 feet
= 84 feet
Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88
Find the rate of change for the set of data provided in the image below.
Forearm: 14, 15
Foot: 14, 16
A. 2/3
B. 3/2
C. 3
D. 2
Answer:
D should be the answer!
Which expression is equivalent to 2.72 + (−5.9) can anyone help
Step-by-step explanation:
-5.9-2.72
=-2.88
it a write answer
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Answer:
Step-by-step explanation: the answer is c
help? I need a answer
Which of the following relations is a function?
OA. (2,0), (-5,3), (5, 1), (-5,5)
B. (2, 4), (-5, 2), (5, 1), (-8, 2)
OC.
(2,4), (-5, 6), (2, 3), (-8, 2)
D. (5, 1), (-5, 4), (2, 1), (5,2)
Answer:
D.(5,1),(-5,4),(2,1),(5,2)
can someone help me fast please
Answer:
2.5/10 = 0.25 cents per ounce
Explain how you would trace an argument. (1 point)
A. You would trace an argument by seeing if the reasons and evidence are
relevant in their support of the claim.
B. You would trace an argument by determining if the claim is true based on
the writer's different opinions.
C. You would trace an argument by seeing if the counterclaim provides
enough evidence and support for the topic.
D. You would trace an argument by deciding if
you agree with the stance that
the writer chose for the topic.
Answer:
A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.
Step-by-step explanation:
The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.
The following information should not be considered:
When the claim is true and depend upon the different writer opinion. When there is counterclaim and it gives sufficient evidence.When the writer choose for the topic.Therefore we can conclude that the first option is correct.
Learn more: brainly.com/question/17429689
III
Knowledge Check
Rewrite the equation below so that it does not have fractions.
2
3
x + 4 =
4
Do not use decimals in your answer.
Х
+
5
?
Answer:
[tex]9x- 60=10[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]
Required
Rewrite to remove fractions
The denominators in the above expression are 4 and 6.
So, first we take the LCM of 4 and 6
[tex]LCM = 12[/tex]
Next, multiply both sides of the equation by this LCM (12)
[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]
[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]
[tex]3 * 3x- 60=5 * 2[/tex]
[tex]9x- 60=10[/tex]
The orange spinner is spun and then the aqua spinner is spun. What is the probability that the numbers will add to 4 or less?
50%
25%
3/8
7/16
Answer:
25%
Step-by-step explanation:
Hopefully this is correct!
Find the slope-intercept equation of the line that
passes through (0,4) and has a slope of 1.
Answer:
y = 1x + 4
Step-by-step explanation:
Gives you anything you need. It gives you the slope and the y intercept 4.
Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes dimensions augmentades, respectivament, en 1 cm i 2 cm respecte de les dimensions del primer. Si la suma dels tres perímetres és de 162 cm, quines són les dimensions de cada rectangle?
Resposta:
Primer rectangle:
Amplada = 11
Longitud = 14
Segon rectangle:
Amplada = 12
Longitud = 15
Tercer rectangle:
Amplada = 13
Longitud = 16
Explicació pas a pas:
Donat que:
Primer rectangle:
Amplada = x
Longitud = x + 3
2n rectangle:
Augment de la dimensió d'1 cm respecte al primer rectangle;
Amplada = x + 1
Longitud = x + 4
3r rectangle:
Augment de la dimensió de 2 cm respecte al primer rectangle;
Amplada = x + 2
Longitud = x + 5
Suma dels tres perímetres del rectangle:
Perímetre d'un rectangle: 2 (l + O)
Primer rectangle:
2 (x + x + 3) = 2 (2x + 3) = 4x + 6
2n:
2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10
3r:
2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14
Suma de perímetres = 162
(4x + 6 + 4x + 10 + 4x + 14) = 162
12x + 30 = 162
12x = 162 - 30
12x = 130
x = 11
Per tant,
Primer rectangle:
Amplada = 11
Longitud = 11 + 3 = 14
2n rectangle:
Amplada = 11 + 1 = 12
Longitud = 11 + 4 = 15
3r rectangle:
Amplada = 11 + 2 = 13
Longitud = 11 + 5 = 16
Paula wins three-quarters of her tennis matches. She loses the rest. What is the ratio of wins to losses?
Answer: 3:1
Step-by-step explanation:
-(4x - 7) + 1 = 2 (5 - 2x) solve for x
Answer:
No solution
Step-by-step explanation:
-(4x - 7) + 1 = 2(5 - 2x)
-4x + 7 + 1 = 10 - 4x
-4x + 8 = 10 - 4x
-4x + 8 ≠ -4x + 10
No solution
please i need this done in an hour
Moira solved a problem on the board. What error did Moira make and how can she correct it?
Answer:
you need to tell us what error she made first then you would find another way to solve the problem and look at all the posiibiltys
Step-by-step explanation:
Please Help!!
What is the value of cell C2?
A. 2
B. 24
C. 50
4. 64
Answer:
B.) 24
Step-by-step explanation:
craig went to the store yesterday. he bought a pack of ice cream for $0.98, bottle of soda for $1.19, and a lunchable for $4.89. How much money did he spend altogether? Show work don't forget label
Answer: $7.06
Step-by-step explanation:
$0.98 + $1.19 + $4.89 = $7.06
find the value of trignomwtric function:
sec330°
Step-by-step explanation:
sec330°
= 1 / cos330°
= 1 / cos30°
= 1 / (√3/2)
= 2/√3.
Answer:
[tex]\frac{2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the identity
secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sec330°
= [tex]\frac{1}{cos330}[/tex]
= [tex]\frac{1}{cos(360-330)}[/tex]
= [tex]\frac{1}{cos30}[/tex]
= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]
= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{2\sqrt{3} }{3}[/tex]
What is the measure of BCD?
Enter your answer in the box.
the measure of BCD = [ ]
Answer: 77
Took the test :)
y varies inversely with x. If x = 5 and y= 1 what is x if y = 0.5
Type your answer..
X=2.5
Step-by-step explanation:
0.5=1/2
5/2 = 2.5
Spammers will be reported!
Solution needed with a fair explanation
Answer: c. 0.40396
Step-by-step explanation:
The total number of flaws is given by:
[tex]{\left({0}\times{4}\right)}+{\left({1}\times{3}\right)}(0\times4)+(1\times3) +{\left({2}\times{5}\right)}+{\left({3}\times{2}\right)}+(2\times5)+(3\times2) +{\left({4}\times{4}\right)}+{\left({5}\times{1}\right)}+(4\times4)+(5\times1) +{\left({6}\times{1}\right)}+(6\times1)={46}=46[/tex]
Average number of flaws for the 20 sheets : [tex]\displaystyle\mu=\frac{46}{{20}}={2.3}[/tex]
Required probability : [tex]=P(X\geq3)=1-P(X<3)[/tex]
[tex]=1-[P(X=0)+P(X=1)+P(X=2)][/tex]
[tex]=1-(\dfrac{e^{-2.3}2.3^0}{0!}+\dfrac{e^{-2.3}2.3^1}{1!}+\dfrac{e^{-2.3}2.3^2}{2!})\ \ \ [\text{Poisson distribution formula: }P(X=x)=\dfrac{e^{-\mu}\mu^x}{x!}]\\\\=1-0.596038825932=0.403961174068\approx0.40396[/tex]
Hence, c. is the correct option.