The function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
How to model the function?The given parameters are:
Time, t = 1.5 secondsHorizontal distance, h = 10 inchesStart by calculating the amplitude, A using:
A = h/2
This gives
A = 10/2
A = 5
Next, we calculate the period using:
B = π/t
This gives
B = π/1.5
Evaluate
B = 2π/3
The pendulum is at the middle.
So, it has no vertical displacement
The function is then represented as:
y = Acos(Bx)
This gives
y = 5cos(2π/3 x)
Hence, the function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
Read more about cosine functions at:
https://brainly.com/question/17075439
#SPJ1
please tell me the answer...
due today
Answer:
I think
each division is subtracted like
8 - 4 = 4
so that why it's written as
1/4 ...........
1/8 1/8 ..........
Step-by-step explanation:
if understand I need brainlist
if not then also
thanks
(18 ÷ 2) × (56 ÷ 7) =
Answer: 72
Step-by-step explanation:
Step 1: Divide 18 and 2, which is 9
Step 2: Divide 56 and 7, which is 8
Step 3: Multiply 9x8 and get 72
Find the value of x. Then find the measure of each labeled angle.
Answer:
X=20; the labeled angles are 80 and 100
Step-by-step explanation:
These angles are "consecutive interior angles" so they will add up to be 180.
180 = 5x + 4x
180 = 9x
180/9 = 9/x
20=x
which expressions are equivalent ??
Answer:
[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]
Step-by-step explanation:
Use:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
[tex]5^4\cdot5^x=5^{4+x}[/tex]
What are the solutions to the quadratic equation below in factored form?
(2x - 1)(3x + 4) = 0
Ox= 1/12, X
Ox=
1
21
X =
34
0x = -1/², x=-1
Ox= = 1/², x = -1/3
2
Answer:
x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
(2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ( add 1 to both sides )
2x = 1 ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex]
and
3x + 4 = 0 ( subtract 4 from both sides )
3x = - 4 ( divide both sides by 3 )
x = - [tex]\frac{4}{3}[/tex]
So
2x-13=02x=13x=13/2And
3x+4=03x=-4x=-4/3Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3 and earns a total of 55$. If the bracelets are represented by x and the necklaces are represented by y which of the following systems of equations can be used to calculate the number of bracelets ms necklaces sold?
Answer: x+y=23, 3x+2y = 55 x + y = 55, 3x + 2y = 55 x+y=23, 2x+3y= 55 x+y=55, 2x+3y =23
Step-by-step explanation: The question said the sum is x+y so if the sum is 55, x+y=55
1
2
4
10
01:28:2
solve x2 + 12x = -11 by completing the square. which is the solution set of the equation?
be
o {-11, -1}
o {-11, 1}
{11, -1}
o {11, 1}
Answer:
11
Step-by-step explanation:
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and F C intersects A D at H. image If m ∠ B = 126 ° and m ∠ A H C = 142 ° , determine and state m ∠ G F H .
A quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of the ∠GFH is 16°.
What is a parallelogram?A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram and a rhombus opposite sides are parallel, therefore, the sides that are parallel are,
AB║DC║ED║FG
Since the sides are parallel,
∠ABC = ∠FGH = 126°
Also, ∠AHC and ∠GHF lie on the same line, therefore,
∠AHC + ∠GHF = 180°
∠GHF = 180° - 142° = 38°
Now, in ΔGHF
∠GHF + ∠HFG + ∠GFH = 180°
∠GFH = 180° - 126° - 38°
∠GFH = 16°
Hence, the measure of the ∠GFH is 16°.
Learn more about Parallelogram:
https://brainly.com/question/1563728
#SPJ1
Two number cubes are rolled for two separate events:
Event A is the event
that the sum of numbers on
both cubes is less than 10.
Event B is the event that the sum of numbers on both cubes is a multiple of 3.
Complete the conditional-probability formula for
event B given that event A occurs first by writing A and B in the blanks:
Answer:
Good idea for thanks......
Jej pls help i need help thank you
Answer:
Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]
Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]
Step-by-step explanation:
Finding the largest total :
The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20Finding the smallest total :
⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40Answer:
Largest Totals : 69/20
Smallest Totals : 121/40
Step-by-step explanation:
Given:
Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.
Solve:
First let change all to improper fractions:
7/4 {already a improper fractions}
1 3/8 = 11/8
1 7/10 = 17/10
33/20 {already a improper fractions}
Thus we have:
7/4
11/8
17/10
33/20
According to the solving above ,
⇒ 70/40 , 55/40, 68/40, 66/40
⇒ 70/40 > 68/40 > 66/40 > 55/40
⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8
⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20
⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40
Since, it says given your answers as improper fractions in their simplest form:
Thus,
Largest Totals : 69/20
Smallest Totals : 121/40
RevyBreeze
Hellpppp Neeededd, How To Solve…
Quadratic Formula Equation To
x² +9x+8=0
Answer:
-8 or -1
Step-by-step explanation:
x*2+9x+8=0
(x+8)(x+1)=0
x+8=0 or x+1=0
x= -8 or x= -1
These points are linear.
Find the slope.
x036912
y12345
[?]
slope =?/?
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6,3) and (x₂, y₂ ) = (9,4) ← 2 ordered pairs from the table
m = [tex]\frac{4-3}{9-6}[/tex] = [tex]\frac{1}{3}[/tex]
If g:
x = 2x-3 4 find 9^-1 (-3)
The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
What is inverse of a function?Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
Learn more about inverse function here:
https://brainly.com/question/19425567
$SPJ1
x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is
The Standard form of the equation of circle is (x+21)² + (y+19)² = 849
What is Standard form of circle?To transform general form to a standard form, you can use completing the square method or you can convert this equation
x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Here, Given: x² + y² + 42x + 38y − 47 = 0
Required: Find the values of h, k, and r using this formula
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
On comparing we get,
-2h = 42
h = 21
-2k = 38
k = 19
-47 = h² + k² - r²
-47 = 21² + 19² - r²
r² = 849
r = √849
Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849
Learn more about Circle from:
https://brainly.com/question/11833983
#SPJ1
Explanation to answer
Answer: 2
Step-by-step explanation:
[tex]{12x+2}=\frac{18+34}{2}\\\\12x+2=26\\\\12x=24\\\\x=\boxed{2}[/tex]
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F Question 8(Multiple Choice Worth 1 points) (04.06 MC) In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. The graph represents which system of inequalities? y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3 Question 9(Multiple Choice Worth 1 points) (04.06 LC) Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and i
The graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3
How to depict the graph?The equation of the line will be:
y = mx + b
In this case, we can observe that both lines have the same y intercept and that the lines are solid.
Hence, graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3. The graph is attached.
When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.
Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.
One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Learn more about graphs on:
brainly.com/question/19040584
#SPJ1
what is the measure of
Answer:
C. Ф = 4 radians
Step-by-step explanation:
Given,
Radius of the Circle (r) = 3cm
Length of the Arc (S) = 12cm
In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.
Therefore, S = r*Ф
12 = 3*Ф
Hence, Ф = 4 radians
Read more at below link:
https://brainly.com/question/16878090
#SPJ10
The angle of depression from the hot-air
balloon to the car is 32°
How high is the hot-air balloon flying?
Give your answer to 2 s.f.
6600 feet
Not drawn accurately
Answer:
3497.47 feet
I think it's the answer because when you look where I've drawn...that's where the angle of depression is and 6600 is the hypotenuse, so you use the sine method where you have opposite over hypotenuse
[tex] \sin(32 = opposite \6600) [/tex]
and you'll get your answer as 3497.47
If the point (7, 3) is on the graph of an equation, which statement must be true?
Answer:
The values x = 7 and y = 3 make the equation true.
Step-by-step explanation:
hope this helps
PLEASE HELP (not good at math)
Answer:
-7,-6,-5 are the values when x=0,1,2
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
y =x - 7
Substitute x = 0 and find the y-value
y = 0 - 7
y = -7
(0,-7)
Substitute x = 1,
y = 1 - 7
y = - 6
(1,-6)
Substitute x = 2,
y = 2 - 7
y = -5
(2,-5)
Pls help will give brainliest!
If x•x = 10, what is the value of X?
Answer:
x = 3.16
Step-by-step explanation:
x * x = 10
[tex]x^2 = 10[/tex]
square root both sides
[tex]\sqrt{x^2} = \sqrt{10}[/tex]
[tex]x = \sqrt{10}[/tex]
x is appr. 3.16
Answer:
x= √-10, √ 10
Step-by-step explanation:
State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations.
[tex]5^x = 5^9[/tex]
Answer:
x=9
if
a^b = a^c
then b=c
so in this case x=9
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1 . Below is the explanation
Step-by-step explanation:
Given:
The graph of f(x)=x^{2}x
2
To find:
The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=(x-3)^{2} +1(x−3)
2
+1
The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)
2
+1
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g if g(x) = f(x) − 11?
Using translation concepts, it is found that the graph of function g if g(x) = f(x) − 11 is a shift down of 11 units of function f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) − 11 represents a shift down of 11 units of function f(x).
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Solve x - 6 = 8.
O A. x = 14 and x = -2
B. x=-14 and x = 2
OC. x 14 and x = -14
-
OD. x = -14 and x = −2
Step-by-step explanation:
please mark me as brainlest
Helppppp!!!!!! Find m<1
Answer:
87 = <1
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
124 = 37 + <1
Subtract 37 from each side
124 -37 = <1
87 = <1
Subtract (0.95x minus -0.04) minus (0.99x minus 0.13).
Solve the following...
6x - 5 = -9x -9
Answer:
6x - 5 = (-9x) - 9
6x + 9x = (-9) + 5
15x = (-4)
x = (-4/15)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = -\cfrac{4}{15} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 6x - 5 = - 9x - 9[/tex]
[ add 9x and 5 on both sides ]
[tex]\qquad \tt \rightarrow \: 6x - 5 + 9x + 5 = - 9x - 9 + 9x + 5[/tex]
[tex]\qquad \tt \rightarrow \: 6x + 9x = - 9 + 5[/tex]
[tex]\qquad \tt \rightarrow \: 15x = - 4[/tex]
[tex]\qquad \tt \rightarrow \: x = - \cfrac{4}{15} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
$80 gift marked up 60%
give me the answer after the markup
Answer:
128
Step-by-step explanation:
0.6 (the percentage) x 80.00= 48.00
48.00 + 80.00 = 128.00
Answer:
128
Step-by-step explanation:
60% + 100% (new price) = 160% = 1.6
80 x 1.6 = 128
