Answer:
at t=4, the particle is at x = 20
Step-by-step explanation:
This question revolves around velocity and displacement of a particle moving in a straight line (along the x-axis). At t = 0 the particle is at x = 0. The velocity of the particle as function of time is given as;
v(t) = 5
The velocity is thus constant, implying further that the particle has 0 acceleration.
To find the position of the particle at t = 4, we employ integral calculus since displacement is an integral of velocity while velocity is a derivative of displacement.
In short, we shall be integrating the velocity function between t =0 and t = 4 to find its location at t = 4.
[tex]\int\limits^4_0 {5} \, dt[/tex]
The integral of 5 with respect to t is 5t + c but we ignore the constant of integration since we are dealing with a definite integral;
5t
The final step is to substitute t with the limits given;
5(4) - 5(0) = 20
The particle was moving along the x-axis, so its new position would be;
x = 20
A particle moving with constant velocity v(t) = 5m/s on the x-axis starts from x = 0. At t = 4 seconds, using the equation of motion (x = xo + vt), we calculate the particle's position to be x = 20m.
Explanation:The physics question asked here pertains to motion along a line, known as 1-Dimensional Kinematics. Specifically, we are considering a particle moving with a constant velocity, given by v(t) =5 for any time t greater than, or less than 0.
To find the position of the particle at a given time, we can use one of the basic equations of motion:
x = xo + vt.
As per the problem, the particle starts from position x = 0 at time t = 0, so xo = 0. The velocity, v, is a constant 5m/s. We can use the provided time, t = 4 seconds, and substitute these values in the equation to get:
x = 0 + 5*4.
Therefore, at t = 4 seconds, the particle is at position x = 20m along the x-axis.
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Please find area of the triangle
Answer:
20 sq m
Step-by-step explanation:
Situation: A 22 gram sample of a substance that's used to sterilize surgical instruments has a k value of 0.138. n equals ne^-kt no=initial Mass( at time t=0) N= mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t= time, in days find the substances Half-Life, in days. Round your answer to the nearest tenth
The half-life of the substance is calculated using the decay constant and is found to be 5.0 days when rounded to the nearest tenth.
To find the half-life of a substance, we use the decay formula N = [tex]N0e^{-kt}[/tex], where N is the remaining mass at time t, N0 is the initial mass, k is the decay constant, and t is the time in days. For a substance to reach its half-life, the remaining mass (N) will be half of the initial mass (N0).
Let's substitute the known values to find the half-life:
Initial mass N0 = 22 g
The decay constant k = 0.138
Half of the initial mass would be 11 g, so N = 11 g
Using the formula for half-life:
0.693 / k = t1/2
Substitute k = 0.138 into the equation:
t1/2 = 0.693 / 0.138
Calculate the half-life:
t1/2 = 5.0 days
Thus, we round to the nearest tenth to get the half-life as 5.0 days.
which sequence shows the numbers in order from least to greatest?
Answer:
D
Step-by-step explanation:
|-9 5/8| = 9 5/8 = 9.625
6.28 x 10^2 = 628
62.85 = 62.85
Now order them.
9.625, 62.85, 628
So
|-9 5/8|, 62.58, 6.28 x 10^2
Answer: i think itz D but im not 100% sure
Step-by-step explanation:
At Costco, a flat-screen television with a regular price of $1,790 was reduced by $395. Assuming 800 customers purchased the television, what were the total sales to Costco?
A. $1,116,000 B. $1,160 C. $1,161,000 D. $116,000
first you would do
[tex]1790 - 395[/tex]
next you would do
[tex]x \times 800[/tex]
which would then give you answer choice a
How many significant figures does the number 12 have
Answer:
It has 2.
Step-by-step explanation:
Since the numbers aren't zeroes they are automatically significant figures.
Answer:
2
Step-by-step explanation:
There are 2 digits needed to nail down the precise value of 12: a 1 in the tens place and a 2 in the ones place, giving it 2 significant figures.
For a few more examples, the number 1.23 would have 3 significant figures, the number 56.89 would have 4, and the number 1.00000 would have 1, as the trailing zeroes don't contribute anything to the number's actual value.
Can some one help me out pls
a. ability to access cash value
What is the distance from (−3, 1) to (−1, 5)? Round your answer to the nearest hundredth
Answer:
4.46Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have (-3, 1) and (-1, 5). Substitute:
[tex]d=\sqrt{(-1-(-3))^2+(5-1)^2}=\sqrt{2^2+4^2}=\sqrt{4+16}=\sqrt{20}\\\\=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\approx2\cdot2.23=4.46[/tex]
Answer:
it 4.47
Step-by-step explanation:
I TOOK THE TEST
Select all of the equations that represent linear relationships. 5 + 2y = 13 y = 1/2x^2+7 y – 5 = 2(x – 1) y/2 = x + 7 x = –4
Answer:
FIRST OPTION.
THIRD OPTION.
FOURTH OPTION.
FITH OPTION.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope, b the y-intercept and the exponent of x is always 1 or 0.
Solve for y from the equations shown below:
[tex]5+2y=13\\2y=8\\y=4[/tex]
(In this linear function the slope is 0)
[tex]y-5=2(x-1)\\y=2x-2+5\\y=2x+3[/tex]
(It is a linear function)
[tex]\frac{y}{2}=x+7\\ y=2(x+7)\\y=2x+14[/tex]
(It is a linear function)
Equation of the line whose slope is not defined:
[tex]x=-4[/tex]
Answer:
1, 3, 4, and 5
Step-by-step explanation:
Edge 2021!
Proof:
Write the linear equation in slope-intercept form?
[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-11)}{-2-(-5)}\implies \cfrac{1+11}{-2+5}\implies \cfrac{12}{3}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-11)=4[x-(-5)]\implies y+11=4(x+5) \\\\\\ y+11=4x+20\implies y=4x+9[/tex]
wich is the answer of 7+5×6
Answer:
37
Step-by-step explanation:
Using order of operations, multiplication is done before addition.
given
7 + 5 × 6 ← perform multiplication
= 7 + 30 ← do the addition
= 37
Use PEMDAS
PEMDAS stands for: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.
So.. in 7+5x6, you first multiply (Tip: If you don't see parenthesis or exponents, jump to multiplication) 5 and 6. (30) NOw, you add 5x6 (30) with 7 (=37)
16 square meters is equivalent o how many square yards
Answer: 19.13 yd²
Step-by-step explanation:
1. By definition, you have that 1 square meter is equal to 1.19599 square yards. You can express it as following:
1 m²= 1.19599 yd²
2. Then, keeping the information above on mind, you can make the conversion from 16 m² to yd² as it is shown below:
[tex](16m^2)(\frac{1.19599yd^2}{1m^2})=19.13yd^2[/tex]
Therefore, you have that 16 m² is equivalent to 19.13 yd².
You can convert square meters to square yards by multiplying by 1.196. Therefore, 16 square meters is equivalent to 19.14 square yards.
Explanation:You're asking about the conversion between square meters and square yards, which is used in measuring areas in mathematics and geometry. To do this conversion, we can use the conversion factor given in the references - 1 m² = 1.196 square yards.
Therefore, to find out how many square yards are equivalent to 16 square meters, we multiply 16 m² by 1.196 (the number of square yards in one square meter). Doing this math gives us an equivalent area of 19.136 square yards.
So, your 16-square meter area is roughly equivalent to 19.14 square yards, when rounded to two decimal places.
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The lines given by the equations y = 6x and y = 6x + 2 are _____. A. parallel B. perpendicular C. neither perpendicular nor parallel
Answer:
A. Parallel
Step-by-step explanation:
The given lines are
[tex]y=6x[/tex]
and
[tex]y=6x+2[/tex]
The slope of [tex]y=6x[/tex] is [tex]m_1=6[/tex].
The slope of [tex]y=6x+2[/tex] is [tex]m_2=6[/tex].
Since the two lines have the same slope, the two lines are parallel.
Answer:
The correct answer option is A. parallel.
Step-by-step explanation:
We are given the following two lines and we are to determine if they are parallel, perpendicular or none of them:
[tex]y = 6x[/tex] and [tex]y = 6x + 2[/tex]
According to the standard equation of a line, [tex]y=mx+c[/tex], the coefficient of x ([tex]m[/tex]) is the slope of the line.
Slope of [tex]y = 6x[/tex] = 6
Slope of [tex]y = 6x + 2[/tex] = 6
Since both the lines have same slope, therefore the two line are parallel.
Does somebody want some coffe?
i want a starbucks double chocolate frappe, thanks
I mean, what's the flavor?
and what's the brand
and is it free?
LOL, I'm sorry this is not helping me get brainiest ah lol
Mmmmmm Coffee- xD
A system of equations is shown below:
2x = 5y + 4
3x − 2y = −16
What is the solution to this system of equations?
(−8, −4)
(8, 4)
(−4, −8)
(4, 8)
Answer:
(-8, -4) is the solution
Step-by-step explanation:
Determine whether or not (-8, -4) is a solution to this system. It is a solution if we can substitute -8 for x and -4 for y in both equations and find that both equations are true:
2(-8) = 5(-4) + 4 TRUE
3(-8) - 2(-4) = -16 TRUE
So (-8, -4) is a solution to the given system.
Check out the second possible solution in the same way:
2(8) = 5(4) + 4 FALSE
Check out the third possible sol'n in the same way:
2(-4) = 5(4) + 4 FALSE
Check out the fourth in the same way:
2(4) = 5(8) + 4 FALSE
So we conclude that (-8, -4) is the sole solution to the given system.
Answer:
(-8, -4)
Step-by-step explanation:
Evaluate 9n -15 for n = 5.
Answer:
the answer is 30
Step-by-step explanation:
9(5)=45
45-15=30
➷ Substitute 5 into everywhere you see 'n'
9(5) - 15
Simplify:
9 x 5 = 45
45 - 15 = 30
The answer is 30.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth, if necessary. units
Answer:
The perimeter is 38.25 units
Step-by-step explanation:
The perimeter of the tra-pezoid is the distance around it.
The length of the bases can be found using the absolute value method.
|RS|=|20-14|=6 units.
|TQ|=|22-8|=14
Recall the distance formula;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We use the distance to find the non parallel sides.
[tex]|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25[/tex] units.
and
[tex]|QR|=\sqrt{(8-14)^2+(16-8)^2} =10[/tex] units.
The perimeter of the tra-pezoid is
=14+10+6+8.25=38.25
Answer:
the answer is 38.25
Step-by-step explanation:
Solve x^2-4x=0 solving quadratic equations
Answer:
[tex]x= 0\\x =4[/tex]
Step-by-step explanation:
We have the expression:
[tex]x ^ 2-4x = 0[/tex]
To solve this equation we must factor:
1.- Take common factor x.
[tex]x(x-4) = 0[/tex]
2.- Evaluate the expressions to know when they are equal to 0.
[tex]x = 0[/tex] or [tex]x-4 = 0[/tex]
[tex]x = 0[/tex] or [tex]x = 4[/tex]
3.- The solutions are:
[tex]x = 0\\x = 4[/tex]
The coordinates of the verticies of a rectangle are (-2,3), (4,3), (4,-4) and (-2, -4) what are the demensions of the rectangle?
A: 1 unit by 2 units
B: 1 unit by 6 units
C: 7 units by 2 units
D: 7 units by 6 units
Answer:
ok so the answer is.
Step-by-step explanation:
thanks for listening bestie <3
What is 8.79 rounded to the nearest hundredth
Answer:
8.79
Step-by-step explanation:
Rounding the nearest hundredth would be using the thousandths place to determine if the hundredths place must be rounded up or down. Because there is no visible thousandths place in 8.79, then it stays as 8.79. Because technically, there is an infinite number of zero's after the 9- and because 0 is less than 5, we leave the number as it is.
solve this problems like how you solve the other ones
Answer:
59 feet cubed
Step-by-step explanation:
1 x 5 x 7 = 35ft^3
3 x 4 x 2 = 24ft^3
add them together and end up with 59ft^3
explain the difference between an equation, like x=5, and an inequality, like x_> 5.
For x = 5, the only solution to the inequality or equation is 5. while for the inequality x ≥ 5, this has several values or solutions.
Inequality expressionGiven the following inequality expression
The inequality x = 5 is different from x ≥ 5 in that;
For x = 5, the only solution to the inequality or equation is 5. It shows only one solution
For the inequality x ≥ 5, this has several values or solutions. It consists of all the values of x that are greater than5.
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The graph of r = -9 cos theta has which of the following characteristics?
Answer:
A
Step-by-step explanation:
The center is at (-4.5,0) because -9/2 = -4.5
9 is the diameter in the above equation
Answer:
"circle; diameter of 9; center at (-4.5,0)"
Step-by-step explanation:
The polar equation of a circle centered on an axis, would take the forms:
1. Positive x-axis
r = (diameter) Cos θ
2. Positive y-axis
r = (diameter) Sin θ
3. Negative x-axis
r = - (diameter) Cos θ
4. Negative y-axis
r = - (diameter) Sin θ
As we see from the equation given, the diameter is 9 and it is centered n negative x-axis. And the center is Diameter divided by 2. So negative x axis has the center at (-9/2, 0) = (-4.5, 0)
The first choice is correct.
Can you help me put these into slope intercept form so I can graph them and if u can find the slope that would be great sry for bad English
1) 20x + 80y=0
2) 30x + 50y-100=0
3) 3x - 15y - 30 =0
Answer:
Part 1) [tex]y=-(1/4)x[/tex]
Part 2) [tex]y=-(3/5)x+2[/tex]
Part 3) [tex]y=(1/5)x-2[/tex]
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
Part 1) we have
[tex]20x+80y=0[/tex]
Simplify
Divide by 20 both sides
[tex]x+4y=0[/tex]
isolate the variable y
Subtract x both sides
[tex]4y=-x[/tex]
Divide by 4 both sides
[tex]y=-(1/4)x[/tex] ------> equation of the line into slope intercept form
[tex]m=-(1/4)[/tex]
[tex]b=0[/tex]
Part 2) we have
[tex]30x+50y-100=0[/tex]
Simplify
Divide by 10 both sides
[tex]3x+5y-10=0[/tex]
isolate the variable y
Subtract (3x-10) both sides
[tex]5y=-(3x-10)[/tex]
Divide by 5 both sides
[tex]y=-(3/5)x+2[/tex] ------> equation of the line into slope intercept form
[tex]m=-(3/5)[/tex]
[tex]b=2[/tex]
Part 3) we have
[tex]3x-15y-30=0[/tex]
Simplify
Divide by 3 both sides
[tex]x-5y-10=0[/tex]
isolate the variable y
Subtract (x-10) both sides
[tex]-5y=-(x-10)[/tex]
Divide by -5 both sides
[tex]y=(1/5)x-2[/tex] ------> equation of the line into slope intercept form
[tex]m=(1/5)[/tex]
[tex]b=-2[/tex]
Find the area of a 9-gon with apothem length 7. Round to a whole number.
Answer:
Step-by-step explanation:
This time we'll do this using 1 formula to get the answer.
Givens
n = 9 (number of sides in an 9-gon.
inradius (apothem) = a= 7
Formula
Area = a^2 * n * tan(180/n) Substitute
Solution
Area = 9^2 * 9 * tan(180/9) Combine
Area = 81 * 9 * tan(20)
Area = 729 * tan (20)
Area = 265.33
Area rounded = 265
Kesha has scored 85 92 84 71 and 94 on her previous five Tess what score did she just she need to receive an excess of the average or mean is 86
85+92+84+71+94+x /6>86
Multiply both sides by 6
426+x>516
Subtract 426 from both sides
X>90
What is the equation of the parabola shown in the graph?
ANSWER
[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]
EXPLANATION
The given parabola has equation of the form
[tex] {(y - k)}^{2} = 4p(x - h)[/tex]
where (h,k) is the vertex of the parabola.
The vertex of the given parabola is (4,-2).
and p is the distance between the foci and the vertex.
[tex] |p| = 2[/tex]
The parabola opens towards the positive x-axis, therefore p=2.
Hence the equation of the parabola is
[tex] {(y + 2)}^{2} = 4 \times 2(x - 4)[/tex]
[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]
Answer:
Your answer is going to be E for plato users or (y^2/8) + (y/2) + (9/2)
Step-by-step explanation:
Since it is a horizontal Parabola the equation is: (y-k)^2 = 4p(x-h)
The distance between the directrix: p
therefore P=2
h = X value in the vertex
k = Y value in the vertex
h = 4
k = -2
Plug the values into the equation and solve for x
a circle has a circumference of 12. it has an arc of length 11. what is the central angle of the arc, in degrees?
Answer: 330⁰
Step-by-step explanation:
Circumference (C) = 2π · radius(r)
12 = 2π·r
[tex]\dfrac{6}{\pi}=r[/tex]
Arc length (s) = radius(r) · θ (reminder that theta is in radians)
[tex]11=\dfrac{6}{\pi}\cdot \theta[/tex]
[tex]\dfrac{11\pi}{6}=\theta[/tex]
To convert radians to degrees, use the proportion: π = 180⁰
[tex]\dfrac{\pi}{180}=\dfrac{11\pi}{6x}\\\\6x(\pi)=180(11\pi)\\\\x=\dfrac{180(11\pi)}{6\pi}\\\\x=30(11)\\\\x=330[/tex]
Jonael dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon. At this moment, the sandbag is 75meters below the balloon.
Which of the following expressions represent the distance between the sandbag and the target?
Choose 1 answer:
Answer:
175 I believe.
Step-by-step explanation:
The distance between the sandbag and the target is 325 meters.
Explanation:The distance between the sandbag and the target can be calculated by subtracting the distance of the sandbag from the balloon's height from the total distance between the balloon and the target. In this case, the balloon is 250 meters above the target and the sandbag is 75 meters below the balloon. So, the distance between the sandbag and the target is 250 + 75 = 325 meters.
I NEED HELP!!!!!!!!!!!!!!
The third one because it’s exponential and that is the form of an exponential increase function
third answer - exponential form .. hope this helps!!
A flying squirrel lives in a nest that is 12 meters high in a tree. To reach a fallen acorn that is 16 meters from the base of the tree, how far will the flying squirrel have to glide?
This is a maths problem involving the Pythagorean theorem, which involves calculating the hypotenuse of a right triangle. The squirrel, living in a tree 12 meters high and needing to glide to an acorn 16 meters away, will need to glide a distance of 20 meters.
Explanation:This question is essentially asking you to calculate the hypotenuse in a right triangle, and the formula for this is rooted in the Pythagorean theorem. You're given the height of the tree (12 meters), which we can call 'a', and the distance from the base of the tree to the acorn (16 meters), which we can designate as 'b'.
The Pythagorean theorem goes as follows: a squared + b squared = c squared, where 'c' is the hypotenuse of the triangle, or in this case, the distance the flying squirrel needs to glide. So, we can plug in the numbers we have: (12²) + (16²) = c². This simplifies to 144 + 256 = c², or 400 = c².
To solve for 'c', we take the square root of both sides, and find that c = 20. Thus, the flying squirrel needs to glide 20 meters to reach the acorn.
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The flying squirrel will have to glide 20 meters to reach the fallen acorn.
To find out how far the flying squirrel will have to glide to reach the fallen acorn, we can use the Pythagorean theorem because the squirrel will glide in a straight line from the tree to the acorn.
Let's denote the distance the squirrel glides as ( x ). According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the distance the squirrel glides) is equal to the sum of the squares of the other two sides (the height of the tree and the horizontal distance to the acorn).
The given information:
- Height of the tree = 12 meters
- Horizontal distance to the acorn = 16 meters
Using the Pythagorean theorem, we have:
[tex]\[x^2 = (\text{Height})^2 + (\text{Distance to acorn})^2\]\[x^2 = 12^2 + 16^2\]\[x^2 = 144 + 256\]\[x^2 = 400\][/tex]
Taking the square root of both sides:
[tex]\[x = \sqrt{400}\]\[x = 20\][/tex]
So, the flying squirrel will have to glide 20 meters to reach the fallen acorn.