Question:
A fly is standing on a boulder which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled 'x' meters, in Newton meters is given by
[tex]\tau(x) = \dfrac{2}{1,000} \cdot sin \left(\dfrac{2 \cdot \pi \cdot (x + 0.2)}{4} \right )[/tex]
Answer:
y = 0
Step-by-step explanation:
The general form of the sine function is presented as follows;
y = A·sin[B·(x - C)] + D
Where;
A = The amplitude
C = The horizontal shift
D = The vertical shift above the generic midline of y = 0 = Constant
By comparison with the general equation for torque, we have that the constant D = 0, therefore, the vertical shift = 0, and the midline of the the given function = The midline of the generic sine function which is y = 0.
A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
Vs = 4/3 VcThus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps
What value of x will make x1/4=3 true?
Answer:
okay so, x would be 12
Step-by-step explanation:
( if you ever see p5 (or any other variable) then that’s means you gotta multiply, so maybe imagine it like px5, p5 would just be a easier way.)
1. x times 1 divided by 4 is 3, a simpler way to put it!
x would be 12 since 12x1 is 12
2. We divide 12 by 4 which gives us a total of 3
hope this helped!
Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.
Answer:
257.48 inches
Step-by-step explanation:
pi * radius^2 * Hight
find radius by dividing the diameter in half
pi = 3.14
Can you help there is not an answer choice
Answer:
-3[tex]\frac{43}{72}[/tex]Step-by-step explanation:
chage the proper fraction to improper and then multiply
Exact Form: − 259/72
Decimal Form: − 3.5972
Mixed Number Form: − 3 43/72 (answer)
How to:
Simplify the expression.
Have a great day and stay safe !
Unit l2 trigonometry homework 6 law of cosines
Does anyone know the answer please help!
Step-by-step explanation:
The law of cosine states that:
[tex]C^2=B^2+A^2-2AB\cos(\theta)[/tex], where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
[tex]C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=\sqrt{21^2+30^2-2\cdot21\cdot30\cos(73)}=\boxed{31.186722}[/tex] (to nearest 6 digits)
Answer:
102.61
Step-by-step explanation:
assuming that QS is the hypothesis we us the fromula like this:
[tex]30cos(73)[/tex]
which gives us 8.7711511417 or we can round to 8.77
assuming that QS is the adjacent we use:
[tex]\frac{30}{cos(73)}[/tex]
which gives us 102.609108595 or rounded to 102.61
looking at both answers we can see that 102.61 would be the correct answer.
PLZ HELPPPPPPPPPPPPP
Answer:
a, d
Step-by-step explanation:
Which statement correctly describes the expression (-15)3?
A. One factor is positive and one factor is negative, so the product
will be negative
B. Both factors are positive, so the product will be positive.
C. One factor is positive and one factor is negative, so the product
will be positive.
D. Both factors are negative, so the product will be positive.
The table shows the number of tickets sold and the profit made at the fundraiser
2 $18
4 $36
6 $54
8 $72
Which describes the relationship between the number of tickets sold and the profit
Each ticket sold yields $8 of profit
Each ticket sold yields $9 of profit
Each ticket sold yields $16 of profit
Each ticket sold yields $18 of profit
Answer:
first one is The table shows the number of tickets sold and the profit made at a fundraiser. Tickets Sold Profit
2 $18
4 $36
6 $54
8 $72
Which describes the relationship between the number of tickets sold and the profit?
Each ticket sold yields $8 of profit.
Each ticket sold yields $9 of profit
. Each ticket sold yields $16 of profit.
Each ticket sold yields $18 of profit.
Step-by-step explanation:
done
Answer:
b
Step-by-step explanation:
The radius of a circle is 4 feet. What is the circle's circumference?Use 3.14 for
r=4 ft
Answer:
50.24 is the circumfrence
If we were to use actual pi the answer would be -
50.26548246
Answer:
25.12
Step-by-step explanation:
2pi4=2*3.14*4=25.12
conviince me for my question (brainliest plzz)
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Answer:
1⅕
Step-by-step explanation:
it shows a whole box filled so that means it's a whole
the next box only has one out of five filled so it's ⅕
1⅕
What is a reasonable domain and range for the function in #13 If the frame must be at least 1 inch and no more than 3 inches wide
Answer:
[tex]Domain: \{1 \le x \le 3\}[/tex]
Step-by-step explanation:
Given
See attachment for options
Required
Determine the domain and the range
From the question, we understand that:
[tex]x \ge 1[/tex] --- at least 1 inch
[tex]x \le 3[/tex] --- not more than 3 inches
So, the domain is:
[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]
Rewrite as:
[tex]1 \le x[/tex] and [tex]x \le 3[/tex]
Combine both:
[tex]1 \le x \le 3[/tex]
Hence, the domain is:
[tex]Domain: \{1 \le x \le 3\}[/tex]
There is no available to determine the range.
A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.
For instance:
[tex]A(x) = 5x[/tex]
We have:
[tex]A(1) = 5*1=5[/tex]
[tex]A(3) = 5*3=15[/tex]
The range will be:
[tex]Range: \{5 \le A(x) \le 15\}[/tex]
if 5a + 9 = 5 + 3a, then 2a=
Step-by-step explanation:
5a+9=5+3a
2a=-4 is the required value
repost on my warm up plz help
Answer:
oh srry ur not a scam
Step-by-step explanation:
Answer:
#1: (Problem 3² × 3³, Answer: 243) (Problem 3⁵, Answer: 243), yes the answer matches
#2: (Problem 2³ × 2⁴, Answer: 128) (Problem 2¹², Answer: 4096), No, the answer doesn't match.
#3: (Problem (-2)⁴ × (-2)², Answer: 64) (Problem (-2)⁸, Answer: 256), No the answer doesn't match.
#4: (Problem (-3)² × (-3)⁵, Answer: -2187) (Problem (-3)⁷, Answer: -2187), yes the answer matches
The pattern is: When 2 whole numbers raised to a power are multiplied together, the base stays the same and the exponent add up
Hope this helps!
One evening, Mr. Smith, Sam, and Sydney went to see the Myrtle Beach Pelicans’ Game. They each bought a ticket and a hat that cost $10 each. How much was each ticket to enter the ballpark?
Answer:
You can't answer this question without knowing the total amount of money they all had in total.
PLease tell me how to do it that will give you brainliest
Answer: Table H would be the correct answer;
The rule of a function is that for each x-value given there can't be more than 1 y-value
In Table F:
x = -13, then y = -2
x = -13, then y = 0
x = -13, then y = 5
x = -13, then y = 7
For the x-value -13, there are 4 different y-values, so it's not a function.
In Table G:
x = -6, then y = 3
x = -1, then y = -1
x = -1, then y = 5
x = 10, then y = -9
For the x-value -1, there are 2 different y-values, hence this isn't a function.
In Table H:
x = 1, then y = 4
x = 3, then y = 4
x = 7, then y = 4
x = 12, then y = 4
For each x-value, there is only 1 y-value, so this is a function.
In table J:
x = -9, then y = -7
x = -2, then y = -5
x = 0, then y = 0
x = 0, then y = 6
For the x-value 0, there are 2 different y-value therefore this isn't a function
Hope this helps!
Identify the net that corresponds to the figure below. A. B. C. D.
Answer:
The net that corresponds to it is ,B
What is the quotient of 5.76 x 10^7 and 9.0 x 10^4 expressed in scientific notation?
Answer:
6.4 x 10²
Step-by-step explanation:
1st step: divide 5.76 by 9 which is .64
2nd step: 10^7÷10^4 = 10^7-4 or 10³
What is this shape? (sorry I'm d.umb)
Answer:
triangular prism
Step-by-step explanation:
The volume of the figure, round to the nearest hundredth.
Answer: Imma need a picture to find the volume love.
Step-by-step explanation:
mops and buckets are sold in a shop. 9 mops cost £72. the ratio of the cost of a mop to the cost of a bucket is 4:7. work out the cost of 6 buckets
Answer: 52 pound because if it’s 4:7 7 add 4 = 11 divide that by 72 gets you 52
HELP 30 POINTS please in a hurry
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
To be a function every input value (x) can only have one output value (y)
On the graph there are 2 out put values for x = 2 so it is not a function.
The answer would be C.
? Help me plzzz correct answer gets brainliest
Answer:
B?
Step-by-step explanation:
im s0rry im n0t sure
1) Analyze the equation: y = 5x + 10 What is the y-intercept? *
5
-5
10
-10
Answer:
10
Step-by-step explanation:
Plug in x=0
5(0)+10
0+10=10
Answer:
y=10
Step-by-step explanation:
First, you have to substitute x=0
y=5 x + 10
y=5 x 0 + 10
Solve the equation for y
y=10
cual es el resultado de a+8 =12
Answer:
a+8=12
a=12-8
a=4 (cuatro)
Step-by-step explanation:
.......................
please simple answers i had state testing today
Answer:
The mode is 10. The range is 6. The IQR is 5.
Step-by-step explanation:
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
Answer:
Yes table 1 is
not proportional for table 2
Step-by-step explanation:
6 for table 1
nothing for table 2
please help whoever wins gets brainliest
If you place a 32-foot ladder against the top of a building and the bottom of the
ladder is 24 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Please respond ASAP
Answer:21.2
Step-by-step explanation:
delta math
The amount that a craftsman will charge for an item depends on the
amount that he spends on materials, m, and is determined by the
equation a = 2.5 + 2.5m, where a is the amount charged for each
item. What is the value of the dependent variable, if the value of the
independent variable is 3?
Answer:
$10
Step-by-step explanation:
m is the independent variable, and a the dependent one.
If m = 3, a = 2.5 + 2.5(3) = 10
The craftsman charges $10 when m = 3.
A coin is flipped 160 times. It landed on heads 82 times and tails 78 times. A different coin is flipped 250 times. It landed on heads 115 times and tails 135 times. What is the empirical probability of flipping a heads on the first coin AND flipping a heads on the second coin
Answer:
a. first coin heads: 82/160
b. second coin heads: 115/250
a AND b: a x b = 82/160 x 115/250
Step-by-step explanation:
if not then im confuzzled