Answer: 15
Step-by-step explanation: r=V
πh=10597.5
π·15≈14.9962
The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) = sin(t) and the speed of the tortoise is T(t) = cos(t), where t is time measured in hours and the speed is measured in miles per hour. Find the area between the curves from time t = 0 to the first time after one hour when the tortoise and hare are traveling at the same speed. What does this area represent?
a. The total distance traveled by both the hare and tortoise during that time.
b. The difference in the distance traveled by the tortoise and hare during that time.
c. The average difference in velocity between the tortoise and hare during that time.
d. The difference in velocity between the tortoise and hare during that time.
Answer:
b. The difference in the distance traveled by the tortoise and hare during that time.
Step-by-step explanation:
First the intersection points are found out on the graph. Then the area between the curves is found out.
Putting the values
H(t) = sin(t)
H(t) = sin(1) = 0.01745
T(t) = cos(t),
T(t) = cos(1)= 0.9998
As T(t) ≥ H(t)
Area is found out by taking the integral of it.
Area = Integral ( limit 0 to 0.998) T(t)-H(t) dt
The difference represents how far the turtle is from the hare.
So it represents the difference in the distance traveled by the tortoise and hare during that time.
I need assistance if anyone would be so kind.
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!
Answer:
Yes
Yes
No
No
Step-by-step explanation:
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation:
Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.
sin(2sec^-1 u/10)
Answer:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]
Step-by-step explanation:
We want to write the trignometric expression:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0[/tex]
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
[tex]\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)[/tex]
Take the secant of both sides:
[tex]\displaystyle \sec(\theta)=\frac{u}{10}[/tex]
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
[tex]\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}[/tex]
By substitutition:
[tex]\displaystyle= \sin(2\theta)[/tex]
Using an double-angle identity:
[tex]=2\sin(\theta)\cos(\theta)[/tex]
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
[tex]\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)[/tex]
Simplify. Therefore:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]
Can someone help me ASAP!!!
9514 1404 393
Answer:
f(x) = {-x for x < 2; 2x-3 for x ≥ 2}
Step-by-step explanation:
The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)
The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...
b = y -mx
b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)
Then the slope-intercept equation for the red line is ...
y = 2x -3
That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.
Putting these parts together, we get ...
[tex]f(x)=\left\{\begin{array}{cc}-x&\text{if $x<2$}\\2x-3&\text{if $x\ge2$}\end{array}\right.[/tex]
Please help! Find the area of the regular hexagon. Round your answer to the nearest tenth.
Answer and explanation please!
Answer:
Here is the formula of what u want . so the answer would be A≈841.78 .
plz check the final answer yourself again ^^
hope it helps u . ⚘
If sin(0) = 0.788 , then what is the approximate value of csc(0) ?
Answer:
It is 1.27Step-by-step explanation:
[tex] \csc \: x = \frac{1}{ \sin \: x } \\ \csc(0) = \frac{1}{ \sin(0) } \\ if \: \sin(0) = 0.788 \: so \\ \csc(0) = \frac{1}{0.788} \\ \\ \csc(0) = 1.27[/tex]
Thanks for this question :)
Answer: 1.27
I hope that helps!!
Help plz find x and y
Answer:
y = 18
x = 15.588
Answer:
The value of X should be 0
The value of Y should be 30
However your teacher gave next to no context, so these might be wrong
Step-by-step explanation: protractor
Help Broo i'm lost il give brainiest
Answer: here is your answer
Step-by-step explanation:
A= 16
B= -8
C= 6
D= -16
E= -4
(3х — у = 2
(x+2y = 3
if someone can help me with solving with system of elimination please that would be amazing
Answer:
x=1 y=1
Step-by-step explanation:
You want to chose either x or y to cancel out of both equations. I chose y, so I multiplied the entire equation of 3x-y=2 by 2 to get 6x-2y=4
6x-2y=4
x+2y=3
The -2y and 2y cancel each other out, the 6x and x can be added, and the 4 and 3 can be added.
7x=7
x=1
Now that we know x=1, plug in x to one of the original equation.
1+2y=3
2y=2
y=1
bathroom that is 6 feet long. If the mirror sells for $4.00 per square foot, what will the total cost of the mirror be?
In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.
Answer:
no possible answers
Step-by-step explanation:
V
W
X
w = 35
x = 78
48°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin X}{78}=\frac{\sin 48}{35}
78
sinX
=
35
sin48
Plug in values.
\sin X=\frac{78\sin 48}{35}\approx 1.6561513
sinX=
35
78sin48
≈1.6561513
Evaluate.
X=\sin^{-1}(1.6561513)= \text{ERROR}
X=sin
−1
(1.6561513)=ERROR
Sine cannot be greater than 1.
\text{No Possible Triangles}
No Possible Triangles
\{\}
{}
Answer:
no Possible Triangles
Step-by-step explanation:
Does the equation below represent a relation, a function, both a relation and a function or neither
y = x2 – 9x
http://www.gilbertmath.com/uploads/1/4/2/7/14279231/3c_u4_assignment1.pdf
i need DESPERATE HELP!!!
my teacher didn't even teach us this and expects us to do it
heres the link for it if needed theres the other work sheet thing to fill out the answers and i have no idea how to do it please im begging you!!
Answer:
1=94 max 2=96 max
Step-by-step explanation:
3.65 is greater than or less than 3and1/5
Answer:
Greater
Step-by-step explanation:
It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!
Can someone give me the answer to question 4
Answer:
105+54=Z [being sum if interior angle of triangle equal to opposite exterior angle]159=Ztherefore,Z=159The experimental probability of rain in a certain
town is 60 percent. In the next 30 days, how many days
can one expect it to rain?
Answer:
18 days
Step-by-step explanation:
Find how many days it can be expected to rain by finding 60 percent of 30
30(0.6)
= 18
So, one can expect it to rain for a total of 18 days out of the 30 days
a2 + b ÷ 3= helpppppppp mmmmmeeeeeeeee! pls
Answer: 2a/3 + b/3
Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.
What is the value of the expression 8 divided by 12?
Answer:
2/3 or .66666666
Step-by-step explanation:
3rd Grade Ch 10 Review Homework Name
1. Melissa went to Target at 5:05 P.M. She returned home after 36 minutes. She then
walked her dog Zeke for 10 minutes before going back into her house.
Write the time that Melissa got home and the time she went back into the house.
Explain how you found each time.
Answer:
5:51 P.M.
Step-by-step explanation:
You first add 36 and 10 which you get 46 then add the 46 to the total so, 46 + 5 is 51 so she will get back at 5:51 P.M
Answer:
u first add 36 to 5:05=5:41 then add 10 more min and that is 51
Find the zeros of ƒ(x) = (x + 2)(x – 1)(x – 3)(x + 1).
Answer:
X=-2 x=1 x=3 and x=-1
Step-by-step explanation:
When the problem asks you to find the zeros all they are asking for is the solution so to solve all you need to do is set each individual piece equal to zero.
Select all possible cross sections of a sphere.
А
circle
B
square
C
triangle
D
point
Pump B alone fills a tank in 9 hours. Pump C takes 15 hours to fill the same tank alone. If pumps A, B and C are used, the tank fills in 5 hours. How long does it take pump A to fill the the tank alone?
Answer:
19
Step-by-step explanation:
9+15=24
24-5=
19 is the answer
what is 3times9 3/5 as a mixed number
1) Determine if the side lengths given form a triangle
Using the triangle inequality theorem, we can figure this out.
2- Yes
3- No
4- No
5- Yes
6- Yes
Evaluate -2x^3-3x^2+4 for x=-2
Answer: 8
Step-by-step explanation:
1. Rewrite the equation:
-2x^3 - 3x^2 + 4 x = -2
2. Plug in the value of x, -2
-2(-2)^3 - 3(-2)^2 + 4
3. Use order of operations (PEMDAS):
-2(-8) - 3(4) + 4
= 16 - 12 + 4
= 8
You are conducting a study of three types of feed supplements for cattle to test their effectiveness in producing weight gain among calves whose feed includes one of the supplements. You have four groups of 30 calves (one is a control group receiving the usual feed, but no supplement). You will conduct a one-way ANOVA after one year to see if there are difference in the mean weight for the four groups. What is k for this experiment?
a. 3
b. 30
c. 4
d. 120
Answer:
since we have four groups, the number of population k = 4
Option C. 4 is the correct answer
Step-by-step explanation:
Given the data in the question;
Number of group k = 4
the number of cases in each group = 30
so
n = 4 × 30
n = 120
SS_total = df = n - 1
= 120 - 1
= 199
SS_between = k - 1
= 4 - 1
= 3
since we have four groups, the number of population k = 4
Option C. 4 is the correct answer
Find the value of x
Answer:
hello
Step-by-step explanation:
4x+3x+2x=180⁰
9x=180⁰
x=20
hope it helps
have a nice day
Answer:
x= 20
Step-by-step explanation:
4x+3x+2x=180
9x=180
x=180/9
so
Can anyone help me out with this answer?
9514 1404 393
Answer:
7×10⁻¹ +6×10⁻² +5×10⁻³
Step-by-step explanation:
Place value in any place-value number system increases by a factor of the base for each place to the left of the "decimal" point. It is reduced by a factor of the base for each place to the right of the "decimal" point.
For base-10 numbers, the powers of 10 are -1, -2, -3, ... as you go to the right of the decimal point. Hence the number 0.765 decomposes as ...
7×10⁻¹ +6×10⁻² +5×10⁻³