Answer:
x = ± √2 = ± 1.4142
Step-by-step explanation:
P(t)P(t)P, left parenthesis, t, right parenthesis models the distance of a swinging pendulum (in \text{cm}cmstart text, c, m, end text) from the place it was released ttt seconds after it starts to swing. Here, ttt is entered in radians. P(t) = -5\cos\left(2\pi t\right) + 5P(t)=−5cos(2πt)+5P, left parenthesis, t, right parenthesis, equals, minus, 5, cosine, left parenthesis, 2, pi, t, right parenthesis, plus, 5 What is the first time the pendulum reaches 3.5\text{ cm}3.5 cm3, point, 5, start text, space, c, m, end text from the place it was released? Round your final answer to the nearest hundredth of a second.
Answer:
0.20secondStep-by-step explanation:
Given the distance of a swinging pendulum modeled by the equation P(t)=−5cos(2πt)+5, to get the first time the pendulum reaches 3.5cm, we will have to substitute P(t)= 3.5cm into the given equation and calculate the value of 't' as shown;
3.5 = −5cos(2πt)+5
Subtracting 5 from both sides;
3.5-5 = −5cos(2πt)+5-5
-1.5 = −5cos(2πt)
Dividing both sides by -5 will give;
[tex]\frac{-1.5}{-5} = cos2\pi t\\0.3 = cos2\pi t\\2\pi t=cos^{-1} 0.3\\2\pi t = 72.54^{0} \\360t = 72.54^{0} \\t = \frac{72.54}{360} \\t = 0.20secs[/tex]
The first time the pendulum reaches 3.5cm is after 0.20secs
Put the following numbers in order from least to greatest.
3)-1.7, 2, 0,-5
4) 4.5, -3,1/2,-2.3
5) -2.8, -2/3, -209
slove for x.
3x+13=68
Answer:
X= 55/3 = 18.333
Step-by-step explanation:
Step 1 : Solving a Single Variable Equation : 1.1
Solve : 3x-55 = 0
Add 55 to both sides of the equation : 3x = 55
Divide both sides of the equation by 3: x = 55/3 = 18.333
Answer: X= 55/3 = 18.333
Hope i made your day if not. Then what is wrong with your life. :)
Answer:
[tex]x = 18.33[/tex]
Step-by-step explanation:
[tex]3x + 13 = 68 \\ 3x = 68 - 13 \\ 3x = 55 \\ \frac{3x}{3} = \frac{55}{3} \\ x = 18 .33[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
ABCE is a cyclic quadrilateral. AED and BCD are straight lines. AC= CD, angle ABC= 45 degrees and angle ACE = 20 degrees. Work out angle ECD
Answer:
∠ECD is 110°
Step-by-step explanation:
For a cyclic quadrilateral,
∠ABC + ∠AEC = 180°
Therefore ∠AEC = 180° - 45° = 135°
∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)
Therefore ∠CAE = 180 - 20 - 135 = 25°
∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)
∠CED + ∠AEC = 180°(Sum of angles on a straight line)
Therefore ∠CED + 135° = 180°
∠CED = 180° - 135° = 45°
∠ECD + ∠CED + ∠CDA = 180°
Therefore ∠ECD = 180° - (∠CED + ∠CDA)
∠ECD = 180° - (45° + 25°) = 110°
Therefore, ∠ECD = 110°.
The total surface area of a cube is 96 cm2. Find its volume.
(1) 256 cm3
(2) 64 cm3
(3) 16 cm3
4) 4 cm3
Answer:
The answer is B or number (2)64 cm3.
Hope that's work for you.Answer:
64 cm3
Step-by-step explanation:
trust i'm a doctor
f(x). - graph with a line going through (-2.8) and (-4,0)
g(x) = 3x - 4
h(x)
Kelly had 4 apples
in her kitchen on
Monday. On
Tuesday, only 1
was left.
x. j(x)
-2. -2
2. 10
6. 22
Compare and contrast these four functions using complete sentences. Focus on the
slope and y-intercept first, and then on any additional properties of each function.
(10 points)
One possibility could be :
y = x - 3
wherein:
x : number of apples on Monday
y : number of apples on Tuesday, the day after
Hope I helped you! :)
Have a great day/night!!
Let (-3,5) be a point on the terminal side of theta. Find the exact values of sin theta, secant theta, and tangent theta
Can someone please help me out with this? If possible, providing a diagram would be helpful!
Answer:
Cosθ = 0.5145
Sinθ = 0.8575
Secθ = 1.9436
tanθ = 1.667
Step-by-step explanation:
From the figure attached,
Point P(-3, 5) is on the terminal side and AB is the initial side of the angle PAB.
If m∠PAB = θ
AB = [tex]\sqrt{(3)^{2}+(5)^{2}}[/tex]
= [tex]\sqrt{34}[/tex]
= 5.831
Then Cosθ = [tex]\frac{AB}{AP}[/tex] = [tex]\frac{3}{5.831}[/tex]
Cosθ = 0.5145
Sinθ = [tex]\frac{PB}{AP}[/tex]
Sinθ = [tex]\frac{5}{5.831}[/tex]
Sinθ = 0.8575
Secθ = [tex]\frac{1}{\text{Cos}\theta}[/tex]
Secθ = [tex]\frac{1}{0.5145}[/tex]
Secθ = 1.944
tanθ = [tex]\frac{PB}{AB}[/tex]
tanθ = [tex]\frac{5}{3}[/tex]
tanθ = 1.667
Evaluate........................................................................................... -|-7 + 3|
Answer:
-4
Step-by-step explanation:
-|-7 + 3|
-|-4|
-4
Answer:-4
Step-by-step explanation:
-|-7 + 3|
-|-4|
-4
For some reason my answer was deleted and looks as if the deleted user copied my explanation before it to be all deleted
Hope that helps
Problem ID: PRABKC7M
Each year, roughly 106 computer programmers each make about $105. How much money is this all together? Express your
answer both as a power of 10 and as a dollar amount.
What is your answer as a dollar amount?
If functions f and g are inverses of each other, then what is their composition, f(g(x))? (only have 2 hours to answer!) a. f(x) b. 0 c. 1 d. x
Answer: (d) x
Step-by-step explanation:
Inverses cancel each other leaving you with whatever is in the parenthesis.
Examples:
f(g(x)) = x
f(g(1)) = 1
f(g(2bc) = 2bc
Find the circumference of the circle with the given radius or diameter. (Use 3.14 for n.)
diameter = 26 ft
a. 530.66 ft
b. 81.64 ft
C.
2,122.64 ft
d.
40.82 ft
Please select the best answer from the choices provided
А
С
Mark this and return
Save and Exit
Next
Submit
Answer:
C =81.64 ft
Step-by-step explanation:
The diameter is 26
C = pi * d where d is the diameter
C = 3.14 *26
C =81.64 ft
Answer:
81.64 ft.
Step-by-step explanation:
Circumference = 2 x 3.14 x 13
Solve the system by substitution.
y = 5x
y = -3x + 24
pls help :(
Answer:
x=3, y=15
Step-by-step explanation:
We substitute 5x for y, getting 5x = -3x + 24. We add 3 x to both sides, and have a equation like this: 8x = 24. Divide by 8 on both sides, and we know that x = 3. Since y is 5x, y is 5*3, which is 15.
4) The width of a rectangle is 8 inches. The length is 4 times its
width
What is the area of the rectangle?
A) 35 in
306 1/4 ft.
A) 43 3/4 ft.
C) 280 fta
D)
Answer:
Length = 4 * 8 = 32
Area = width * length = 8 * 32 = 256 square inches
Step-by-step explanation:
Answer:
A =256 inches^2
Step-by-step explanation:
width = 8 inches
length = 4 w = 4*8 = 32
A = l*w
A = 32*8
A =256 inches^2
The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?
0 V3X+ 28/
y
x+y <28
X+ y = 28
what is the value of the expression 1/2 (m÷3) +n A. 13/5 B. 13/10 C. 15/11 D. 15/17
Answer:
So far I have gotten 3m + n, there is not equal sign so I am unable to finish this question further.
Step-by-step explanation:
What is the solution to the equation -4(2x+3) =2x+6-(8x+2)?
x = -10
x = -8
X=-5/2
x=-4/7
Answer:
x = -8
Step-by-step explanation:
solve:
-4(2x+3) =2x+6-(8x+2)
-8x-12 = 2x+6-8x-2
-8x-12 = -6x + 4
-2x = 16
x = -8
Hope this helps.
Good Luck
Answer:
[tex]x = - 8[/tex]
Second answer is correct
Step-by-step explanation:
[tex] - 4(2x + 3) = 2x + 6 - (8x + 2) \\ - 8x - 12 = 2x + 6 - 8x - 2 \\ - 8x - 12 = - 6x + 4 \\ - 8x + 6x = 12 + 4 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
from the top of a tree the angle of depression of a rock on the ground is 49 degrees. If the tree is 18.5 m tall, how far is the rock from the base of the tree?
Answer:
Step-by-step explanation:
If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.
We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,
[tex]tan(49)=\frac{18.5}{x}[/tex] and
[tex]x=\frac{18.5}{tan(49)}[/tex] and on your calculator in degree mode, you will find that
x = 16.08 m
Which statement is true about this right triangle?
y²+ z² = x²
Z + y = x
X
x² + y2 = z?
у
x²+ z² = y²
Answer:
Step-by-step explanation:
the Pythagorean theorem is :
a^2+b^2=c^2
c is the hypotenuse
if y is the hypotenuse then x^2+z^2=y^2
if x is the hypotenuse then y^2+z^2=x^2
How many intersections are there of the graphs of the equations below? One-halfx + 5y = 6 3x + 30y = 36 none one two infinitely many
Answer:
infinitely many
Step-by-step explanation:
You have the system
(1/2)x + 5y = 6
3x + 30y = 36
Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation. The two graphs coincide, and so there are infinitely many solutions to this system
Answer:
infinitely many
Step-by-step explanation:
1/2x + 5y = 6 ⇒ x+10y=123x + 30y = 36 ⇒ x+10y=12As we see, these are equal lines, they overlap, so there are infinitely many intersections
1
The diagram below shows the length and width of the wall
that Tara is going to cover with wallpaper.
24 feet
(15 feet
What is the least amount of wall paper Tara will need to
cover the entire area of the wall?
A 39 square feet
C 350 square feet
B 78 square feet
D 360 square feet
Answer:
D. 360 square feet
Step-by-step explanation:
The area of Tara's wall is 24 times 15 which equals 360 sq. feet. This means she would need the same amount of wallpaper to cover it.
My mom built a new sandbox that is 3 \text { m}3 m3, start text, space, m, end text long, 2 \text { m}2 m2, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high for my sister and me. Sand for the sandbox costs \$4.50$4.50dollar sign, 4, point, 50 per cubic meter. How much will it cost to completely fill the sandbox with sand? \$$dollar sign
Answer:
$27
Step-by-step explanation:
The dimensions of the sandbox (that is a rectangular prism) are 3m x 2m x 1m.
We need to first find the volume of the sandbox.
The volume of a rectangular prism is:
V = L * W * H
where L = length
W = Width
H = height
The volume of the sandbox is:
V = 3 * 2 * 1 = [tex]6 m^3[/tex]
Sand for the sandbox costs $4.50 per cubic meter.
The cost to completely fill the sandbox is:
4.50 * 6 = $27
how many years will it take for the area of the glacier to decrease to 15 square kilometers
Answer:
aprox: 9 years?
Step-by-step explanation:
im sorry if this is wrong!
If X = (8,4) and Y = (-8, 0), what is XY?
А. 16.49
В.2
С.272
D.8.94
Answer:
16.49
Step-by-step explanation:
What is the leading coefficient of the polynomial?
5x3 + 17 − 8x5 − 9x4
Write the formula for
the function whose
parabola is narrow,
opens downward, has a
y-intercept of (0,-3.14),
and has NO x-intercepts.
Answer:
Equation of the parabola x² = -12.56 y
Step-by-step explanation:
Explanation:-
Given Y- intercept ( 0, -3.14)
Given Focus is ( 0 , -a) = ( 0, -3.14)
So a = 3.14 center C(0,0)
The graph of the parabola is downwards and the axis of the parabola is Y-axis.
Equation of the standard parabola x² = -4 a y
x² = -4 (3.14) y
x² = - 12.56 y
Conclusion:-
Equation of the parabola x² = -12.56 y
FIND X FOR 10 POINTS
Answer: 30.
Step-by-step explanation: This is a triangle with a 90 degree angle and a 60 degree angle. So, a 180 degree angle - a 90 degree angle - 60 degree angle = 30.
Write −1/2x+y=10 in slope-intercept form.
Answer:
[tex]y=\frac{1}{2} x+10[/tex]
Step-by-step explanation:
[tex]-\frac{1}{2} x+y=10\\[/tex]
Add [tex]\frac{1}{2} x[/tex] to both sides
[tex]y=10+\frac{1}{2} x\\\\y=\frac{1}{2} x+10[/tex]
Answer this, pic below
Answer:
The answer is, A. it is constant
Step-by-step explanation:
Between the x values 4 and 8 the line does not decrease or increase. It stays in a straight line causing it to be constant.
Answer: Its constant ( constant means it isnt moving like its just stable)
PLEASE HELP WILL MARK BRAINLIEST
Answer:
324
Step-by-step explanation:
[tex]4p^2= \\\\4(9)^2= \\\\4\times (9\times 9)= \\\\4\times (81)= \\\\\boxed{324}[/tex]
Hope this helps!
Answer:
324
Step-by-step explanation:
If p=9, then the expression would be 4(9)². 9² is 81 and 81*4 is 324
Will the following list have a large or small standard deviation?
7, 6, 5, 8, 9, 1, 0, 4, 3, 2
A) small
B) not enough information
C) large
Answer:
the standared deviation =2.87 so it is small
Step-by-step explanation:
to calculate the standard deviation of those numbers:
1- Work out the Mean (the simple average of the numbers)
(7+6+5+8+9+1+0+4+3+2)/10=4.5
Then for each number: subtract the Mean and square the result.
[(7 - 4.5)^2 + ... + (2 - 4.5)^2]/10=8.25
√8.25=2.87≅3
Answer:
A. Small
Step-by-step explanation:
