The motion of a weight that hangs from a spring is represented by the equation h=-5sin(3pi/4 t) . It models the weight’s height, h, in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 4 inches below the rest position? Round to the nearest hundredth, if necessary. 0 seconds 0.29 seconds 0.39 seconds 1.95 seconds
Answer:
The answer on edge is C: 0.39 seconds.
Step-by-step explanation:
At t = 0.39 seconds the object is 4 inches below the rest position option third is correct.
What is sin function?It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is a amplitude of the function.
We have:
The motion of a weight that hangs from a spring is represented by the equation:
h = -5sin[(3π/4)t]
Plug h = -4
-4 = -5sin[(3π/4)t]
Or
-4 = -5sin[135t]
135t = 53.13
t = 0.39 seconds
Thus, at t = 0.39 seconds the object is 4 inches below the rest position option third is correct.
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Is the following relation a function? {(3, −5), (1, 2), (−1, −4), (−2, 2)}
Answer:
Function.
Step-by-step explanation:
A relation is a function every x that in your domain only gets assigned to exactly one number in your range.
Basically if you have a set of points and you see that the same x is being used more than once, then it isn't a function (unless for some reason they repeated the same point).
So the x's I see in the order that your points are is 3,1,-1,-2. All of these x's are different so it is a function.
Answer: Yes, it is a function.
Step-by-step explanation:
A relation is said to be a function, if each input value corresponds an unique output value.Usually we denote the input value as 'x' and the output value as 'y'.
The given relation: {(3, −5), (1, 2), (−1, −4), (−2, 2)}
Here , each input value corresponds an unique output value.
Therefore , the given relation is a function.
A pair of shoes costs $89.99. They are on sale for 30% off. The store charges a 6.5% sales tax. What is the final cost? Round to the nearest cent.
Final answer:
The final cost of the shoes after a 30% discount and a 6.5% sales tax is $67.08, with each step of the calculation rounding to the nearest cent.
Explanation:
Calculating Final Price with Discount and Sales Tax
To calculate the final cost of a pair of shoes with an original price of $89.99 and a discount of 30%, along with an additional 6.5% sales tax, follow these steps:
Calculate the discount amount by converting the percentage to a decimal (30% = 0.30) and multiplying it by the original price: $89.99 × 0.30 = $26.997. Round this to the nearest cent: $27.00.Subtract the discount from the original price to get the discounted price: $89.99 - $27.00 = $62.99.Find the sales tax by converting the 6.5% to a decimal (6.5% = 0.065) and multiplying by the discounted price: $62.99 × 0.065 ≈ $4.09435. Round this to the nearest cent: $4.09.Add the sales tax to the discounted price to find the final cost: $62.99 + $4.09 = $67.08.The final cost of the shoes after applying the discount and including sales tax is $67.08.
2x)(x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2)
Answer:
6x^2+2x-6
Step-by-step explanation:
In the expression (2x)(x2)+(2x)(x)+(2x)(-2)+(3)(x2)+(3)(-2) take each set of two and solve those individually. The expression then becomes 4x^2+2x^2-4x+6x-6 the combining like terms you get 6x^2+2x-6.
What is the greatest common factor of the polynomial below?
30x^3-20x
Answer:
10x
Step-by-step explanation:
The greatest common factor of the polynomial 30x³ - 20x is 10x.
Option B is the correct answer.
We have,
To find the greatest common factor (GCF) of the polynomial
30x³ - 20x, we need to determine the largest expression that can be factored out from both terms.
Let's look at the coefficients first.
The coefficients of the terms are 30 and -20.
Both numbers are divisible by 10, so we can factor out 10.
Now let's consider the variable, x. In the first term, we have x³, and in the second term, we have x.
The lowest power of x that appears in both terms is x, so we can factor out x.
Putting it together, we can factor out the GCF of 10x:
GCF(30x³ - 20x) = 10x
Therefore,
The greatest common factor of the polynomial 30x³ - 20x is 10x.
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L•W•H L=8 W=31 H=20 I keep getting the answer wrong please help
Answer:
4960.
Try that, And good luck
Answer:
lwh = 4960
Step-by-step explanation:
To solve for volume, we use the formula V = lwh. Let's plug in our values:
lwh = l*w*h
= 8*31*20
= 4960
Find the radius of a circle with an area of 90 inches.
Answer:
r = 5.35
Step-by-step explanation:
The radius of a circle with an area of 90 inches is 5.35.
Use the formula: A=πr2
r=A
π=90
π≈5.35237
A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is .
Divide the number of cans by the number of sheets to find the constant.
36 cans / 2 sheets = 18 cans per sheet.
180 cans / 10 sheets = 18 cans per sheet.
The proportionality constant is 18 cans per sheet.
Hijk is definitely a parallelogram. true or false?
The correct answer is: True
A parallelogram means that the lines will not intersect.
As you can see the ^ on both sides witch indicates that they will not touch.
Hope this helps! :3
The figure Hijk is definitely a parallelogram is true.
What is a parallelogram?That 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.
We are given that;
The figure of parallelogram
Now,
IH is parallel to JK
IJ is parallel to HK
Angle H and angle J are equal by alternate interior angles
Therefore, by given parallelogram the answer will be true.
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The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 19, Z has the value 0.94736842105263. What is the value of Z when X = 13, and Y = 26
Answer:
[tex]Z=2.99999999999995[/tex]
Step-by-step explanation:
We can write the proportionality equation as:
[tex]Z=k\frac{X}{Y}[/tex]
Note: Directly proportional goes top and top, multiplied. And inversely proportional goes top bottom, divided. Also, k is the proportionality constant.
When X is 3, Y is 19, Z is 0.94736842105263. Plugging these, we figure out k:
[tex]Z=\frac{kX}{Y}\\0.94736842105263=\frac{k(3)}{19}\\k=\frac{0.94736842105263*19}{3}\\k=5.99999999999999[/tex]
Now we put X = 13 and Y = 26 and k = 5.99999999999999, to find Z:
[tex]Z=\frac{kX}{Y}\\Z=\frac{(5.99999999999999)(13)}{26}\\Z=2.99999999999995[/tex]
The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new function? (x – 11)2 + 58 (x + 22)2 – 121 (x + 7)2 – 47 (x – 15)2 + 94
Answer:
The new function is (x + 7)² - 47 ⇒ the 3rd answer
Step-by-step explanation:
* Lets put the function f(x) in the vertex form at first and then make
the translation
∵ The general form of the quadratic function is
f(x) = ax² + bx + c
∵ The x-coordinate of the vertex of the function is -b/2a
∵ The y-coordinate of the vertex of the function is f(-b/2a)
- Lets find a , b from the function two find the vertex point
∵ f(x) = x² + 22x + 58
∴ a = 1 , b = 22 , c = 58
∵ x-coordinate of the vertex = -b/2a
∴ x-coordinate of the vertex = -22/2(1) = -11
∵ y-coordinate of the vertex = f(-11)
∴ f(-11) = (-11)² + 22(-11) + 58 = 121 - 242 + 58 = -63
∴ The vertex point is (-11 , -63)
- The vertex form of the quadratic function is f(x) = (x - h)² + k , where
(h , k) are the coordinates of the vertex point
∵ The vertex point is (-11 , -63)
∴ h = -11 , k = -63
∴ f(x) = (x - -11)² + -63
∴ f(x) = (x + 11)² - 63
* lets revise the rules of the translation
- If the function f(x) translated horizontally to the right
by m units, then the new function g(x) = f(x - m)
- If the function f(x) translated horizontally to the left
by m units, then the new function g(x) = f(x + m)
- If the function f(x) translated vertically up
by n units, then the new function g(x) = f(x) + n
- If the function f(x) translated vertically down
by n units, then the new function g(x) = f(x) – n
∵ f(x) will translate 4 units to the right
∴ m = 4
∵ f(x) ⇒ f(x - m)
∴ (x + 11)² ⇒ (x + 11 - 4)² = (x + 7)²
∵f(x) will translate 16 units up
∴ -63 will add by 16
∴ n = 16
∴ f(x) ⇒ f(x) + n
∵ -63 + 16 = -47
∴ The new function is (x + 7)² - 47
Answer:
(x + 7)^2 - 47
Step-by-step explanation:
just answered this on my class
f(x) = x(x - 1)
g(x) = 3x
Find: (f* g)(6)
54
540
27
264
Answer:
540
Step-by-step explanation:
f(x) = x(x - 1)
g(x) = 3x
(f* g)(x) = x(x - 1) 3x
= (x^2 -x) * 3x
= 3x^3 -3x^2
=3x^2(x-1)
Let x = 6
(f* g)(6) = 3*6^2( 6-1)
= 3*36 *5
540
Answer:
540
Step-by-step explanation:
(f*g)(6)=f(6)*g(6).
Now we need to find f(6) and g(6). Once we find their values we multiply them.
f(6) means to replace x in x(x-1) with 6:
6(6-1)
6(5)
30
So f(6)=30.
g(6) means to replace x in 3x with 6:
3(6)
18
So g(6)=18.
(f*g)(6)=f(6)*g(6)=30*18=540.
identify the image of triangle XYZ for a composition of 50 degrees rotation and a 40 degrees rotation, both about point y
Answer:
a
Step-by-step explanation:
Given:
triangle XYZ is rotated by a composition of 50°+40°=90° both about point y
Now when a geometrical figure is rotated by any degree then its shape or size does not change and remain same.
As the triangle is rotated clockwise by 90 degrees about point y then diagram attached is formed .
option a is correct.
Answer:
The correct option is A.
Step-by-step explanation:
If the direct of rotation is not mentioned, then it is consider as counterclockwise rotation.
It is given that triangle XYZ rotated 50 degrees and a 40 degrees, both about point Y.
It means the figure triangle XYZ rotated 90 degrees counterclockwise about the point Y.
In option A, triangle XYZ rotated 90 degrees counterclockwise about the point Y.
In option B, triangle XYZ rotated 180 degrees counterclockwise about the point Y.
In option C, triangle XYZ rotated 270 degrees counterclockwise about the point Y.
In option D, triangle XYZ rotated 360 degrees counterclockwise about the point Y.
Therefore the correct option is A.
what is 99.96 rounded to the nearest tenth
Answer:
It is 100. You round the 6 to the 9 which makes the 9 round the 99 which makes it 100.
ANSWER AND I WILL DO YOU A FAVOR!!!!
the temperature of a chemical solution is originally 21 Celsius. A chemist heats the solution at a constant rate, and the temperature of the solution is 75 Celsius after 12 minutes of heating.
Temperature, T, of the solution in Celsius is a function of X, the heating time in minutes
Write the function’s formula.
T=____
Since m = 4.5 and b = 21 the desired formula is:
T=4.5x+21
what can go in to 12 and 57??
Find the value when x=2 and y=3 2x^0y^-2
Answer:
54
Step-by-step explanation:
2x^0y^-2
Let x =2 and y =3
2 * (2)^0 3^(3)
2 to the zero power is 1
2 * 1 *27
54
Answer:The answer is 1/9!
Step-by-step explanation:
Have a good day!
Which term describes a line segment that connects a vertex of a triangle to a
point on the line containing the opposite side, so that the line segment is
perpendicular to that line?
A. Altitude
B. Median
C. Perpendicular bisector
D. Angle bisector
Answer:
A. AltitudeStep-by-step explanation:
It's the definition of an altitude.
Answer: Altitude
Step-by-step explanation:
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines?
Feel free to ask for any doubts.
Please mark Brainliest if this helps!
if N=b/d(squared) write down in terms of b and d
a.the square of N
b.the square root of N
c.the reciprocal of N
Which of the following graphs is described by the function given below? y = 2x 2 + 6x + 3
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=2x^{2}+6x+3[/tex]
This is the equation of a vertical parabola open up
The vertex is a minimum
Convert to vertex form
Complete squares
[tex]y-3=2x^{2}+6x[/tex]
Factor the leading coefficient
[tex]y-3=2(x^{2}+3x)[/tex]
[tex]y-3+4.5=2(x^{2}+3x+2.25)[/tex]
[tex]y+1.5=2(x^{2}+3x+2.25)[/tex]
Rewrite as perfect squares
[tex]y+1.5=2(x+1.5)^{2}[/tex]
The vertex is the point (-1.5,-1.5)
Find the zeros of the function
For y=0
[tex]2(x+1.5)^{2}=1.5[/tex]
[tex](x+1.5)^{2}=3/4[/tex]
square root both sides
[tex]x+\frac{3}{2} =(+/-)\frac{\sqrt{3}}{2}[/tex]
[tex]x=-\frac{3}{2}(+/-)\frac{\sqrt{3}}{2}[/tex]
[tex]x=-\frac{3}{2}(+)\frac{\sqrt{3}}{2}=\frac{-3+\sqrt{3}}{2}=-0.634[/tex]
[tex]x=-\frac{3}{2}(-)\frac{\sqrt{3}}{2}=\frac{-3-\sqrt{3}}{2}=-2.366[/tex]
Find the y-intercept
For x=0
[tex]y=3[/tex]
The y-intercept is the point (0,3)
therefore
The graph in the attached figure
Answer: graph a
Step-by-step explanation: a p e x
use the difference of squares identity to write this polynomial in factored form 9x²-49
[tex]\bf 9x^2-49\implies 3^2x^2-7^2\implies \stackrel{\stackrel{\textit{difference of}}{\textit{squares}}}{(3x)^2-7^2}\implies (3x-7)(3x+7)[/tex]
The product of the slopes of perpendicular lines is always___
Answer:
-1
Step-by-step explanation:
The product of the slopes of perpendicular lines is always -1 .
Which angles are corresponding angles with angle 8?
Answer:
[tex]\angle 12 \cong \angle 8\\\angle 4 \cong \angle 8[/tex]
Step-by-step explanation:
When two parallels lines are crossed by a transversal, certain pair of angles are called corresponding angles, specifically, those that are placed in the same side of the transversal, on inside the parallels and the other outside the parallels. The image attached shows an example of corresponding angles.
So, we observe in the given image that all corresponding angles with angle 8 are
[tex]\angle 12\\\angle 4[/tex]
These angles are form corresponding angle with [tex]\angle 8[/tex], that means they are congruent, that is
[tex]\angle 12 \cong \angle 8\\\angle 4 \cong \angle 8[/tex]
What does x equal. 8, 9, or 10?
Answer:
x = 8
Step-by-step explanation:
We can see that this is using power of a point or PoP! So we immediately know that 5x = 4*10.
So solving for x (by dividing by 5 on both sides) we get:
x = 8
Answer : The value of 'x' is, 8
Step-by-step explanation :
According to the theorem, if two chords intersect inside a circle then the product of the lengths of the one chord equals to the length of another chord.
That means in the given figure,
AO × OB = CO × OD
Given:
Length AO = 10
Length OB = 4
Length CO = x
Length OD = 5
Now put all the given values in the above expression, we get:
AO × OB = CO × OD
10 × 4 = x × 5
40 = x × 5
x = 8
Therefore, the value of 'x' is, 8
what is the measure of Arc XY
The answer is A.
Because both angles of triangles are equal to 42° that means the distance of UV is equal to the distance of XY.
Hope this helps.
r3t40
Answer:
nope its actaually 46 degrees
Step-by-step explanation:
what is the value of 3x to the second power + 4y to the second power if x=2 and y=-3?
Answer: 3(2)^2 + 4(3)^2
Step-by-step explanation:
First do what is replacing the variables by changing X to 2 and Y to -3
3(2)^2 + 4(-3)^2 = 3(4) + 4(9) = 12 + 36 = 48
Answer: The value is 48
Step-by-step explanation:
Given the following expression:
[tex]3x^2+4y^2[/tex]
You need to substitute the values of each variables provided in the exercise into this expression. You can observe that the value of the variable "x" and the value of the variable "y" are:
[tex]x=2 \\ y=-3[/tex]
Therefore, substituting values, you get:
[tex]3x^2+4y^2=3(2)^2+4(-3)^2=3(4)+4(9)=12+36=48[/tex]
which paper folding method can be used to form the midpoint of a line segment
Hi !
Answer:
Begin with a line segment on the paper and fold the paper so that the segment's endpoints lie on top of each other.
The method used in paper folding to form the midpoint of a line segment is called bisecting a line segment. This involves drawing the line segment, folding the paper so the endpoints of the line segment meet, and marking the point of intersection which forms the midpoint.
Explanation:The method that can be used in paper folding to form the midpoint of a line segment is called bisecting a line segment. Here's how you can do it:
Draw the line segment on a piece of paper.Fold the paper so that the endpoints of the line segment meet. Ensure the fold is sharp and precise.The fold line will intersect the line segment at its midpoint. You can mark this point for clarity.That point of intersection is the midpoint of the line segment. You've now bisected the line segment into two equal halves using paper folding.
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what's the solution to y>3x+2
Answer:
In picture.
Step-by-step explanation:
I'm going to look at y=3x+2 first.
This is a linear equation in slope-intercept form.
Slope-intercept form is y=mx+b.
It is called slope-intercept form because it tells us m, the slope, and b ,the y-intercept.
So I'm going to draw a point at 2 on the y-axis (because 2 is our y-intercept).
From that point, I'm going to count up 3 and right once because our slope is 3 (which is 3/1; slope=rise/run). So my next point will be at (1,5).
Now let's go back to y>3x+2.
Since it says y>, then we shade above.
If it had said y<, then we shade below.
There is only one more thing to consider, and that is the lack of or there of of the equal sign.
If the equal sign part is there, your line will be solid.
If the equal sign is not there, your line will be dashed or broken.
Answer:
Step-by-step explanation:
A = 1/2 d1d2 is the formula for the area of a _____ (1)
Answer:
C. Rhombus or Kite
Step-by-step explanation:
1/2 d1d2 is the formula for a rhombus or kite.
Answer:
Rhombus or Kite
Step-by-step explanation:
learning about it rn