Answer:
The object will be 2 inches above the rest position when at approximately 0.23 seconds
Step-by-step explanation:
The given parameters are;
The equation that models the distance, d, of the object in inches above or below the rest position = a×(cos(b·t))
If a = 5 and b = 5, we have;
d = 5 × (cos(5 × t))
When the object is approximately 2 inches above the ground, we have;
d = 2 = 5 × (cos(5 × t))
cos(5 × t) = 2/5
5 × t = cos⁻¹(2/5) ≈ 1.16
t = (cos⁻¹(2/5))/5 ≈ 1.16/5
t ≈ 0.23 s
The object will be 2 inches above the rest position when t ≈ 0.23 s.
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Answer:
Mental Hospital is on the way!
Answer:
Dont know
Step-by-step explanation:
Thinks for free pints
Hi . Please I need help with these questions :
See image for question.
Answer no 5 and 6.
Answer:
(i) √23
(ii) 196√23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
Standard Form: x² - 10x + 2 = 0
Step 2: Define variables
a = 1
b = -10
c = 2
Step 3: Find roots
Substitute: [tex]x=\frac{10\pm\sqrt{(-10)^2-4(1)(2)} }{2(1)}[/tex]Exponents: [tex]x=\frac{10\pm\sqrt{100-4(1)(2)} }{2(1)}[/tex]Multiply: [tex]x=\frac{10\pm\sqrt{100-8} }{2}[/tex]Subtract: [tex]x=\frac{10\pm\sqrt{92} }{2}[/tex]Simplify: [tex]x=\frac{10\pm 2\sqrt{23} }{2}[/tex]Factor: [tex]x=\frac{2(5\pm \sqrt{23}) }{2}[/tex]Divide: [tex]x=5\pm \sqrt{23}[/tex]Step 4: Define roots
α > β
α = 5 + √23
β = 5 - √23
Step 5: Evaluate
i
Substitute: [tex]\frac{1}{5-\sqrt{23} } -\frac{1}{5+\sqrt{23} }[/tex]Subtract: [tex]\sqrt{23}[/tex]ii
Substitute: [tex](5+\sqrt{23})^3-(5-\sqrt{23})^3[/tex]Evaluate: [tex](98\sqrt{23} +470)-(470 - 98\sqrt{23} )[/tex]Subtract: [tex]196\sqrt{23}[/tex]Answer:
(i) √23(i) 196√23Step-by-step explanation:
Given equation:
x² - 10x + 2 = 0Roots are:
α and βSum of the roots:
α + β = -b/a ⇒ α + β = -(-10)/1 ⇒ α + β = 10Product of the roots:
αβ = c/a ⇒ αβ = 2/1 ⇒ αβ = 2Finding the following:
(i)
1/β - 1/α =(α - β)/αβ =√(α - β)² / αβ =√((α + β)² - 4αβ) / αβ = √(10² - 4*2) / 2 =√92 / 2 =2√23 / 2 =√23(ii)
α³ - β³ =(α - β)(α² + αβ + β²) =√(α - β)²× ((α + β)² - αβ)√((α + β)² - 4αβ) × ((α + β)² - αβ) =√(10² - 4*2) × (10² -2) =√92 × 98 =2√23 × 98 =196√23multiply (x+1)^2
a. x^2+1
b. x^2+2x+2
c. x^2+x+1
d. x^2+2x+1
PLEASE HELP
Answer:
D
Step-by-step explanation:
We have:
[tex](x+1)^2[/tex]
Expand:
[tex]=(x+1)(x+1)[/tex]
Distribute Property:
[tex]=(x+1)x+(x+1)(1)[/tex]
Distribute:
[tex]=x^2+x+x+1[/tex]
Add:
[tex]=x^2+2x+1[/tex]
Hence, our answer is D.
Answer:
d. x^2 + 2x + 1
Step-by-step explanation:
(x+1)(x+1)
use the FOIL method:
x^2 +1x +1x +2
combine like terms 1x and 1x
x^2 +2x +1
please help which of the following statements could be a function?
Answer:
The first one height vs shoe size.
Step-by-step explanation:
Let's evaluate each choice
1) Generally, it is possible that the taller a person is, that his/her shoe size would generally get bigger also. Hence we can say that it is possible that there is a function correlation between height and shoe size.
2) hair length can be cut down short or left long regardless of the height of a person, so we cannot say for sure that hair length correlates with height. Hence this is probably not a function)
3) hair color has no bearing on a persons age. hence this is probably not a function.
4) student ID number doesn't depend on the name of the student. Hence this is probably not a function.
The equation of the line with slope -3 that goes through the point (-9,-7) can be written in the form y=mx+b
where m is:
and where b is:
Answer:y= -9x-25
Step-by-step explanation: Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (-2, -7).
--------
Form:: y = mx + b
Solve for "b"::
-7 = -9*-2 + b
-7 = 18 + b
b = -25
-----
Equation:
y = -9x - 25
---------------
Cheers,
Stan H.
-----------
point slope formula
y-y1=m(x-x1)
y+7= -9(x+2). Notice that we are subtracting a negative, so we have to add.
y+7=-9x-18
y= -9x-25
Trayvon wants to find out if tomato plants produce more tomatoes when they are fertilized. He grows 5 plants with fertilizer and 10 plants without fertilizer, and plans to compare the results. Which is the most appropriate quantity to measure for each group of plants
Answer:
The most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and dependent variables ( quantity
Step-by-step explanation:
In this kind of experiment the most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and dependent variables ( quantity
for plants with fertilizer
Independent variable/ quantity ; quantity of fertilizer applied and other controlled quantity like amount of sun and water
Dependent variable ; Number of tomatoes produced by plant
For plants without fertilizer
Independent variable/quantity ; Absence of fertilizer and other controlled quantity like the amount of sun and water
Dependent variable ; Number of tomatoes produced by plant
Two-thirds of a number is equal to negative one-fifth. What is the number
answers: -7 1/2, -3/10, -2/15, -3 1/3
Answer: -7 1/2
Step-by-step explanation:
The required number would be -3/10.which is the correct answer would be option (B).
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
We have been given that two-thirds of a number is equal to a negative one-fifth.
Let the number would be x
According to the given question, the required solution would be as:
⇒ (2/3)x = -1/5
Divided by (2/3) both sides of the above equation,
⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)
⇒ x = (-1/5)/(2/3)
Reciprocal the term in the numerator,
⇒ x = (-1/5) × (3/2)
Apply the multiplication operation, and we get
⇒ x = -3/10
Therefore, the required number would be -3/10.
Hence, the correct answer would be option (B).
Learn more about the number system here:
https://brainly.com/question/21751836
#SPJ2
a rotation of 270 degrees follows which notation?
(x,y) -> (x, -y)
(x,y) -> (y, x)
(x,y) -> (-x, y)
(x,y) -> (y, -x)
(x,y) -> (-x, -y)
(x,y) -> (-y, x)
What is the answer to y=5x
What is the solution to the equation 9(x + 1)
27? (1 point)
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[tex]9(x + 1) = 27[/tex]
Divide sides by 9
[tex] \frac{9(x + 1)}{9} = \frac{27}{9} \\ [/tex]
[tex]x + 1 = 3[/tex]
Subtract sides 1
[tex]x + 1 - 1 = 3 - 1[/tex]
[tex]x = 2[/tex]
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how to solve V = 1/3 Ah for h
Answer:
(3V)/A = h
Step-by-step explanation:
V = 1/3 Ah
Solve the literal equation using inverse operations;
V = 1/3 Ah
*3 *3
3V = Ah
/A /A
(3V)/A = h
Using the formula z=Kx/y
If z = 6 when x = 3 and y = 4, then what is z when x = 5 and y = 2?
Answer:
z=kx/y
zy=kx
zy/x=kx/x ( divided both side by x. to find k)
k=zy/x
k=6×4/3(z=6,y=4,x=3)
k=24/3
k=8
so z=kx/y
z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)
z=40/2
z=20
what is 0.34 of 112?
Answer:
i think its 30.36
Step-by-step explanation:
Answer:
Step-by-step explanation:
112 × 0.34 = 38.08
I have more questions like this so, if you can do a step by step i would love that!
Is the statement true? Explain.
Answer:
The statement is true.
Step-by-step explanation:
We know that line IJ=JK and that line IH=HK. We also know that the two triangles share a side meaning that every side of each triangle is equivalent to each other making them congruent by the Side Side Side postulate.
Consider the conditional statement of N is the midpoint of CD then CD =2CN what is the hypothesis
Answer:
Step-by-step explanation:
If N is the midpoint of CD, it means that N bisects the line CD. Hence;
CN + ND = CD .... 1 and;
CN = ND .... 2
Substitute equation 2 into 1;
CN + CN = CD
2CN = CD
Rearrange;
CD = 2CN (proved)
The hypothesis is the midpoint hypothesis and the hypothesis is TRUE
what is the equation a line passes through the points p(2,4) q(-1,3) A y=3x+10 B y=x+10 C -x-10 D y=3x-8
Answer:
D
Step-by-step explanation:
The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to the sum of the other two.
Answer:
x = 5, y = 7, z = 12Step-by-step explanation:
Let the numbers be x, y and z
x + y + z = 242y = z + 2z = x + ySolving by substitution:
x + y + z = z + z = 242z = 24z = 122y = z + 22y = 12 + 22y = 14y = 7z = x + yx = z - y x = 12 - 7 = 5The answer:
x = 5, y = 7, z = 12Need help on this question! :)
Answer:
i think it's 42
Step-by-step explanation:
42 tiles
1 figure = +4 tiles
7 figures x 4 tiles = 28 tiles
28 + 14 = 42
4. How many mugs could you make with 360 spoonfuls of cocoa mix?
Answer:
79
Step-by-step explanation:
because i said so
take the horse to overtake the
17. A car completes a journey at an average speed of 40 km/h. At what
speed must it travel on the return journey if the average speed for the
complete journey (out and back) is 60 km/h?
Help
Answer:
120 km/hStep-by-step explanation:
Speed in one direction = 40 km/hSpeed on return = xAverage speed = 60 km/hLet the distance be d
Average speed
2d/(d/40 + d/x) = 60d/40 + d/x = 2d/601/40 + 1/x = 1/301/x = 1/30 - 1/401/x = (4-3)/1201/x = 1/120x = 120 km/h50 POINTS!! Picture attached
Answer: SLAPS and TAPS GAPs And djfjkfkfc.
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x2 A match like terms
Answer:
A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.
Step-by-step explanation:
Ayudaaaa porfavorrr se los suplico me
Based on all of these experiments, what is the maximum height for these plants at 12 weeks?
25 inches
17 inches
23 inches
15 inches
Answer:
25 inches
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described.
1) through (2, 2), parallel to y=x+4
Answer:
Slope intercept form: y=mx+b; where m is the slope and B is the y intercept
For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.
To find the y intercept plug in the slope and the x, y into the equation y=mx+b:
y=mx+b
y=1x+b
2=1(2)+b
2=2+b
0=b
b=0
Now that we have your slope and y intercept we can make the equation:
y=1x+0
y=x
Step-by-step explanation:
Niah has 34 gems and gives 8 to her sister how much does Niah have now?
Answer:
answer is 26 gems
Step-by-step explanation:
you subtract 8 from 34 and you get 26 as your answer
It takes 111 pounds of seed to completely plant a 12-acre field.
How many acres can be planted per pound of seed?
Answer:
0.108 Acres
Step-by-step explanation:
We find the rate by dividing the amount of acres to the pounds
12/111
= 0.108
0.108 acres of land can be planted per pound of seed
After 4 days, a plant is measured to be 10 inches tall. Later, after a total of 20 days, then height is measured to be 18 inches. What is the rate of growth for the plant? This is supposed to be for slopes in Algebra 1.
Given :
After 4 days, a plant is measured to be 10 inches tall.
Later, after a total of 20 days, then height is measured to be 18 inches.
To Find :
The rate of growth for the plant.
Solution :
We know, rate is given by :
[tex]Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day[/tex]
Therefore, rate of increase of height is 0.5 inch/day .
Hence, this is the required solution.
Please help!!! Look at image. Excuse my answers I’m not sure if there right.