A pendulum is swinging next to a wall. The distance D(t)D(t)D, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) between the bob of the pendulum and the wall as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when the pendulum is exactly in the middle of its swing, the bob is 5\text{ cm}5 cm5, start text, space, c, m, end text away from the wall. The bob reaches the closest point to the wall, which is 3\text{ cm}3 cm3, start text, space, c, m, end text from the wall, 111 second later. Find D(t)D(t)D, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answer:
D(t)=-2sin(pi/2 t)+5
Step-by-step explanation:
i did it on Khan academy
Answer:
-2sin(pi/2 t)+5
Step-by-step explanation:
ALso did on Khan Academy (its on the sinisoidal equations excercise)
please tell me the coordinates
Answer:
A'(-9, -3)
Step-by-step explanation:
The coordinates of A are (-3, -1).
The dilation factor is 3.
Multiply the coordinates of A by 3.
A'(-9, -3)
Answer:
Coordinates of A´ are (-3,-1), it is dilated by the factor of 3, The New coordinates will be:-
[tex](-3\times 3)=-9[/tex]
[tex](-1\times3)=-3[/tex]
[tex]A'(-9,-3)[/tex]
OAmalOHopeO
Taylor wirtes a exppersion with five terms all 5 terms are like terms how many terms are in equivilent exppersions with the least numbers of terms ?
Answer:
1 term
Step-by-step explanation:
Writing an expression of 5 terms such that all 5 terms are like terms ;
Using the analogy :
x, 2x, 4x, 3x, 5x
Writing as an expression :
x + 2x + 4x - 3x + 5x
7x - x + 5x
6x + 5x
11x
The least number of terms in its equivalent expression is 1 ;
As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x
help me plzzzzzz tyyyyyyyyyy
Answer:
your answer is B.
Step-by-step explanation:
mode is 76, mean is 79, the median is 76.
Geometry, please answer question ASAP
Answer:
m<D = 170°
Step-by-step explanation:
In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:
m<A + m<B + m<C + m<D + m<E = 540°
We are already given the measures of all the angles except D, so we can substitute them in:
87° + 125° + 63° + m<D + 95° = 540°
Now, we can simplify and solve for <D:
m<D + 370° = 540°
m<D = 170°
look at the image below
Answer: what’s the question ?
calculate the area of each shape
Answer:
1267f335677632157853
Answer:
a) (x + 2)(3x + 1) = x^2 + 7x + 2
b) (2x - 3)(2x + 4) = 4x^2 + 2x - 12
c) (x + 2)(avg. length of base, x + 6) = x^2 + 8x + 12
d) Is the radius 4x + 12? If so: (4x + 12)(4x + 12) = (16x^2 + 96x + 144) x pi
Step-by-step explanation:
Brainliest, please!
Multiply: 4 (−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
[tex]\\ \sf\longmapsto 4\left(-5\dfrac{2}{3}\right)[/tex]
Convert mixed fraction into simple fraction form[tex]\\ \sf\longmapsto 4\left(-\dfrac{5(3)-2}{3}\right)[/tex]
[tex]\\ \sf\longmapsto 4\left(-\dfrac{17}{3}\right)[/tex].
[tex]\\ \sf\longmapsto \dfrac{-68}{3}[/tex]
Which angles are adjacent to each other?
Angle CHG and Angle HDL
Angle AEB and Angle DEA
Angle CHG and Angle HCE
Angle JCH and Angle CHG
Please make sure it's correct because one person once tried it and got it wrong..lol.
Answer:
B
Step-by-step explanation:
Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.
That eliminates choices A, C, and D.
Answer: B
Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.
Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.
Find the area of the bolded outlined sector.
Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
1. t — 19 = 2
2. 1 + s = 3
3. 24 = 4c
4. v/5 = 9
(show work)
Answer:
1. t = 21
2. s = 2
3. c = 6
4. v = 45
Step-by-step explanation:
1. t - 19 = 2
*Add 19 to both sides.
t = 21
2. 1 + s = 3
*Subtract 1 from both sides.
s = 2
3. 24 = 4c
*Divide each side by 4.
6 = c
4. v/5 = 9
*Multiply each side by 5.
v = 45
(62.1) x (3.2) = ??
Please help urgent!!!
Answer:
198.72
Step-by-step explanation:
if u remove the brakctes and multiplay both of them by 10 and then multiply (621x32=19872 then u divide it by 100 and u get the answer 198.72
The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?
Answer:
677
Step-by-step explanation:
the sequence is 1, 2, 5, 26, 677
the first term is 1
to find the 2nd term, do: [tex]1^{2} +1=2[/tex]
3rd: [tex]2^{2} +1=4+1=5[/tex]
4th: [tex]5^{2} +1 =25 +1=26[/tex]
5th: [tex]26^{2} +1=676+1=677[/tex]
When a shape is dilated, the _________ of the lengths in the image to the corresponding lengths in the pre-image are equal to the scale factor.
A. ratios
B. lengths
C. scale factors
D. proportions
Determine the quotient of .    
SEE QUESTION IN IMAGE
Answer:
42Required probability:
P(≤4) = (18 + 14 + 20 + 16)/(18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.6843Required probability:
P(>3) = (20 + 16 + 15 + 17) / (18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.6844At least 2 students pass:
P(2 or 3) = (3/5)² + (3/5)³ = 9/25 + 27/125 = 72/125 = 0.57645Number of x's:
x/108 = 4/27x = 108*4/27x = 16Solve 4 sinx + 9 cosx=0 for 0°
4 sin(x) + 9 cos(x) = 0
4 sin(x) = -9 cos(x)
tan(x) = -9/4
x = arctan(-9/4) + nπ … … … (in radians)
or
x = arctan(-9/4) + 180n ° … … … (in degrees)
where n is any integer.
I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of
x ≈ 113.96° and x ≈ 293.96°
Pressure varies inversely as volume. When the pressure is 8 Pascals, the volume is 22 liters. What would the volume be if the pressure were increased to 16 pascals?
Answer:
we can use 2 formule to solve your question: One is P*V=n(mol)*R*T(KELVIN)
Step-by-step explanation:
And other is P(first)*V(first)=P(last)*V(last)
8*22=16*?
the ?=11
0.741 round to nearest one
Answer:
Step-by-step explanation:
Since round to the nearest one is too vague, i'll give everything this can be rounded too
Rounded to the nearest whole number
0.741 = 1
Rounded to the nearest tenth
0.741 = 0.7
Rounded the the nearest hundreth
0.741 = 0.74
Hopefully this helps
An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
plz give me this ans by explaining
Answer:
I don't know what to do so I just answered the volume of this tell me if I am wrong
Step-by-step explanation:
radius : 3.5 cm
volume : ?
now,
volume (v) : π × r (2)
: 22/7 × 3.5(2)
:22×3.5×3.5 by 7
therefore,
the volume is 38.5
Which of these products is negative? Select all that apply.
-8 ÷ (-3)
-2 ÷ 8
0 ÷ (-2)
15 ÷ (-5)
-8 ÷ (-9)
Answer:
Positive/negative = negative
Negative/positive = negative
So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.
Let me know if this helps!
Solve 3x-4>11 if the domain of x is {1,2,3,4,5,6,7,8}
Answer:
(6,7,8)
Step-by-step explanation:
solving the inequality will give x>5
How do I solve this problem: 6c - 8 - 2c = -16
Answer:
c = -2
Step-by-step explanation:
6c-8-2c = -16
4c -8 =-16
4c = -16 +8
4c = -8
4c/4 = -8/4
c = -2
Answred by Gauthmath
The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.
To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.
Combine like terms on the left side of the equation:
6c - 2c = 4c
The equation now becomes:
4c - 8 = -16
Take constant term on the right side of the equation by adding 8 to both sides:
4c - 8 + 8 = -16 + 8
The equation simplifies to:
4c = -8
To find the value of c, divide both sides of the equation by 4:
4c / 4 = -8 / 4
c = -2
Hence, the value of c is -2 in the equation 6c - 8 - 2c = -16.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
חן
d
60°
30°
e
The product of sin 30° and sin 60° is same as the product of
and
Answer:
Step-by-step explanation:
This is a fascinating question. It turns out to be true because of the relationship between a 30 degree angle and a 60 degree angle
The answer is that the product of sin30*sin60 = cos(30)*cos(60). This happens because sin(60) = cos(90-60) = cos(30)
Other angles will do the same thing sin36 * sin54 = cos(54)*cos(36)
An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?
Answer:
not D
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Plz help similarity theorems
Answer:
b is the answer bro and try first then ask questions
Find all complex numbers z such that z^4 = -4.
Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.
Look at this rectangular prism:
Answer:
3 : 1
Step-by-step explanation:
volume = length * width * height
The volume of the solid as it is shown is:
volume = 10 m * 6 m * 10 m = 600 m^3
old volume = 600 m^3
Now we triple the length.
The length becomes 3 * 10 m = 30 m
The new volume is:
volume = length * width * height
volume = 30 m * 6 m * 10 m = 1800 m^3
new volume = 1800 m^3
ratio of new volume to old volume = 1800 m^3 : 600 m^3
Divide both sides of the ratio by 600 m^3.
Ratio = 3 : 1
Answer: 3 : 1
(cos^2x-sin^2x)-sin4x+sin^22x=0
Answer:
x=22.5
Step-by-step explanation:
(there's a correction in the question since the I did this one before, so I know)
(cos²x-sin²x)²-sin4x+sin²2x=0
or, cos²2x-sin4x+sin²2x=0
or, 1-sin4x=0
or, sin4x=1
or, 4x=90
or, x=22.5