To achieve a 95% confidence level and ±1.5% precision, you would need a sample size of approximately 3845 people.
To estimate the proportion of people who feel that unemployment compensation should be expanded with 95% confidence to within ±1.5%, you would need to determine the sample size necessary to achieve this level of precision.
The formula for sample size estimation in proportion estimation is given by:
[tex]n = (Z^2 * p * (1 - p)) / E^2[/tex]
Where:
Z is the Z-score for a confidence level of 95%, which is approximately 1.96.p is the estimated proportion of people who feel that unemployment compensation should be expanded. If no previous data is available, p can be assumed to be 0.5.E is the maximum error allowed in the estimate, which is 1.5% or 0.015.Substituting the values, we get:[tex]n = (1.96^2 * 0.5 * 0.5) / 0.015^2 = 3844.83[/tex]
Therefore, to achieve a 95% confidence level and ±1.5% precision, you would need a sample size of approximately 3845 people.
In conclusion, to estimate the proportion of people who feel that unemployment compensation should be expanded with 95% confidence to within ±1.5%, a sample size of approximately 3845 people is necessary. This calculation assumes that the estimated proportion of people in favor of expanding unemployment compensation is 0.5, and that the Z-score for a confidence level of 95% is 1.96.
Learn more about Z-score :
https://brainly.com/question/15016913
#SPJ4
Assume 2. 0 kg of apples is 1 dozen and that each apple has 8 seeds. How many seeds are in 14 kg of apples?.
Answer:56
Step-by-step explanation:
You divide 14kg by 2kg and get 7kg. So then you times 7kg by 8 seeds.
Hope this helps :)
I dont understand may you please help me
Answer:4
Step-by-step explanation:
3
Cora is using successive approximations to estimate a positive solution to f(x) = g(x), where f(x)=x2 - 8 and g(x)=2x - 4. The table shows her results for different input values of x. Use Cora's process to find the positive solution, to the nearest tenth, of f(x) = g(x)
The result will be the x value when the difference between the values of f(x) and g(x) is less than 0.1, which will be the positive solution to the nearest tenth of f(x)=g(x).
To find the positive solution, to the nearest tenth, of f(x)=g(x) using Cora's process, the steps are as follows:
Input the initial value of x, for example x=0.
Calculate f(x) and g(x):
f(x) = x2 - 8 = 0 - 8 = -8 g(x) = 2x - 4 = 0 - 4 = -4If f(x) is less than g(x), then x should be increased and vice versa.
Increase or decrease x accordingly and calculate the new values of f(x) and g(x).
Keep repeating steps 3 and 4 until the difference between the values of f(x) and g(x) is less than 0.1.
The result will be the x value when the difference between the values of f(x) and g(x) is less than 0.1, which will be the positive solution to the nearest tenth of f(x)=g(x).
Learn more about functions:
https://brainly.com/question/22340031
#SPJ4
(-4mn)³*(-2m²)³ How do I simplify this?
Simplifying the given expression can be rewritten as: [tex](512m^9n^3)[/tex].
Power RulesThe main power rules are presented below.
Multiplication with the same base: you should repeat the base and add the exponents.Division with the same base: you should repeat the base and subtract the exponents. Power. For this rule, you should repeat the base and multiply the exponents.Exponent negative - For this rule, you should write the reciprocal number with the exponent positive. Zero Exponent. When you have an exponent equal to zero, the result must be 1.For simplifying the given expression, it is necessary to apply the presented power rules previously.
The given expression is (-4mn)³*(-2m²)³. Thus,
Applying the rule - Power, you have:(-64m³n³) * [tex](-8m^6)[/tex]
Note that the rule should be apply in numbers and letters.
After that, you should apply the rule of Multiplication. See below:[tex](512m^9n^3)[/tex]
Learn more about power rules here:
brainly.com/question/12140519
#SPJ1
A rectangular field, 400 m long, has an area of 6 hectares. Calculate the perimeter of the field [ 1 hectare=10000m2] What's the answer to this question and what is the way to solve it!
The perimeter of this rectangular field is equal to 1,100 meters.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width of a rectangle.L represents the length of a rectangle.Note: Area = 6 × 10,000 = 60,000 m^2.
Next, we would determine the width of this rectangle:
60,000 = 400W
W = 60,000 /400
Width, W = 150 m.
Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;
Perimeter of a rectangle = 2(L + W)
Perimeter of a rectangle = 2(400 + 150)
Perimeter of a rectangle = 2(550)
Perimeter of a rectangle = 1,100 meters.
Read more on perimeter of a rectangle here: brainly.com/question/17360327
#SPJ1
The perimeter of the rectangular field with an area of 6 hectares and length of 400m is 1100 meters.
What is the perimeter of the field?The perimeter of a rectangle is expressed as;
P = 2( length + width )
Given the data in the question;
Length of the field = 400m Area of the field = 60,000m²Width of the field = ?First, we determine the width of the field using the area formula.
Area = Length × width
Plug in the values and solve for width
60,000m² = 400m × width
60,000m² / 400m = Width
Width = 150m
Now, the perimeter will be;
P = 2( 400 + 150 )
P = 2( 550 )
P = 1100 meters.
Therefore, the perimeter is 1100 meters.
Read more on perimeter of a rectangle here: brainly.com/question/17360327
#SPJ1
Find the best approximation to a solution of the following systems of equations. What the value for x? 4x 2y = 0 x +y = 11 -2 2 1
The best approximation to a solution of the system of equations is x = -11 and y = 22.
A system of equations is a collection of two or more equations with the same variables. Solving a system of equations means finding the values of the variables that satisfy all the equations in the system.
In this case, you have a system of two equations:
4x + 2y = 0 and x + y = 11.
To find the best approximation to a solution of the system, we can use substitution or elimination methods.
First, we can isolate one of the variables in one of the equations.
=> 4x + 2y = 0.
Dividing both sides by 2, we get:
=> 2x + y = 0.
Now we have one equation in terms of one variable, which is y.
Next, we can substitute the expression for y from this equation into the second equation:
=> x + y = 11.
Replace y with -2x
=> x + (-2x) = 11.
=> -x = 11.
=> x = -11.
Finally, we can substitute the value for x back into one of the original equations to find the value of y.
Let's substitute x = -11 into the first equation:
=> 4(-11) + 2y = 0.
=> -44 + 2y = 0.
=> 2y = 44.
=> y = 22.
To know more about equation here.
https://brainly.com/question/10413253
#SPJ4
a rectangular bin with a square base, an open top, and a volume of 62,500 cm3 is to be made. what is the minimum surface area for the bin? enter only the minimum surface area, and do not include units in your answer.
Minimum surface area of rectangular bin with 62,500 cm^3 volume and square base is 31250 cm^2.
What is rectangle ?
A rectangle is a two - dimensional shape with four sides, where each pair of opposite sides are equal in length and parallel to each other
Let's say the length, width and height of the rectangular bin are l, w and h respectively. The volume of the bin can be expressed as:
V = l * w * h = 62500 cm^3 (Given)
Since the base is a square, have w = l. Therefore,
V = l^2 * h
h = V / l^2 = 62500 / l^2
The surface area of the bin can be expressed as:
A = 2lw + 2lh + 2wh
Substituting the value of w = l and h = V / l^2, get:
A = 2l^2 + 2l * (V / l^2) + 2l * l = 2l^2 + 2V / l + 2l^2 = 4l^2 + 2V / l
To minimize the surface area, differentiate A with respect to l and set it to zero:
dA/dl = 8l + 2V / l^2 = 0
4l^3 = V
l^3 = V / 4
Taking the cube root of both sides,
l = (V / 4)^(1/3)
Substituting the value of V,
l = (62500 / 4)^(1/3) = (15625)^(1/3) = 125 cm
Since w = l,
w = 125 cm
h = V / l^2 = 62500 / (125)^2 = 250 cm
The minimum surface area is then given by,
A = 2lw + 2lh + 2wh = 2 * 125 * 125 + 2 * 125 * 250 + 2 * 125 * 125 = 31250 cm^2
Minimum surface area of rectangular bin with 62,500 cm^3 volume and square base is 31250 cm^2.
To learn more about rectangle visit : brainly.com/question/29123947
#SPJ4
Minimum surface area of rectangular bin with 62,500 cm³ volume and square base is 31250 cm^2.
A rectangle is a two - dimensional shape with four sides, where each pair of opposite sides are equal in length and parallel to each other
Let's say the length, width and height of the rectangular bin are l, w and h respectively. The volume of the bin can be expressed as:
V = l * w * h = 62500 cm³ (Given)
Since the base is a square, have w = l. Therefore,
V = l² * h
h = V / l² = 62500 / l²
The surface area of the bin can be expressed as:
A = 2lw + 2lh + 2wh
Substituting the value of w = l and h = V / l^2, get:
A = 2l² + 2l * (V / l²) + 2l * l = 2l²+ 2V / l + 2l² = 4l² + 2V / l
To minimize the surface area, differentiate A with respect to l and set it to zero:
dA/dl = 8l + 2V / l² = 0
4l³ = V
l³ = V / 4
Taking the cube root of both sides,
l = (V / 4)^(1/3)
Substituting the value of V,
l = (62500 / 4)^(1/3) = (15625)^(1/3) = 125 cm
Since w = l,
w = 125 cm
h = V / l² = 62500 / (125)²= 250 cm
The minimum surface area is then given by,
A = 2lw + 2lh + 2wh = 2 * 125 * 125 + 2 * 125 * 250 + 2 * 125 * 125 = 31250 cm²
Minimum surface area of rectangular bin with 62,500 cm^3 volume and square base is 31250 cm².
To learn more about rectangle
brainly.com/question/29123947
#SPJ4
If 3 lbs of fertilizer will cover 408 square feet of lawn, how many pounds would be needed to cover 1088
square feet?
One pound of nitrogen or mixed fertilizer is recommended per 1,000 square feet of lawn and your particular fertilizer contains 20% nitrogen.
How many pounds would be needed to cover 1088 square feet?
In order to calculate pounds per square foot you just need to do some simple math. Simply take the area (in square feet) you want to use as a measurement and divide the number of pounds you want to place on the area by that number.Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering second coat coverage. Three gallon cans of paint cover up to 1200 square feet.Pounds or Pounds Force per Square Foot is a British (Imperial) and American pressure unit which is directly related to the psi pressure unit by a factor of 144 (1 sq ft = 12 in x 12 in = 144 sq in). 1 pound per square foot equals 47.8803 pascals.To learn more about pounds refers to:
https://brainly.com/question/498964
#SPJ4
The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:
Triangle ABC has length of BC equal to 12 inches. A line segment DC joins the point D on AB with point C. Measure of angle ABC is 90 degrees, ACD is 15 degrees, and measure of angle DCB is 30 degrees.
What is the length of the wood that is needed to replace AD?
A. 6.2
B. 4.2
C. 6.9
D. 5.1
The length of the side AD that needed to be replaced is D. 5.1
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, tan = opposite/adjacent.
tan30° = DB/12.
DB = 12×tan30°.
DB = 6.93.
Now, m∠BCA = 30° + 15° = 45°.
Therefore,
tan45° = (AD + DB)/12.
AD + DB = 12.
AD = 12 - 6.93.
AD = 5.1.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ1
Answer:
5.1
Step-by-step explanation: got right on test
-1 = 2x - y, 8x - 4y = -4 using substitution
Answer:
Infinitely many solutions
Explanation:
1) subtract “1” from both sides to get y by itself
Y=-2x-1
2) 4y+8x=-4 share a gcf of “4” so you can divide the whole equation by 4
y+2y=-1
Now substitute “-2x-1” as y
(-2x-1)+2x=-1
-2x and 2x cancel each other and so does -1 and -1
Hence, this system has infinitely many solutions
Answer:
x = 0, y = 1.
Step-by-step explanation:
We can solve for the variables x and y by using substitution. Let's start by solving the first equation for one of the variables:
-1 = 2x - y
y = 2x + 1
Next, we'll substitute y = 2x + 1 into the second equation:
8x - 4y = -4
8x - 4(2x + 1) = -4
Expanding the second equation:
8x - 8x - 4 = -4
-8x - 4 = -4
-8x = 0
x = 0
Finally, we can use one of the equations to find y:
y = 2x + 1
y = 2(0) + 1
y = 1
So, the solution is x = 0, y = 1.
X^2-5x+2=0 select the two values of x that are roots of this equation
Therefore, using the discriminant approach, the two values of the roots of the equation X2-5x+2=0 are 4.56 and 0.44.
what is discriminant ?When use the formula to solve a problem, the "discriminant" is the value that helps in recognizing the various sorts of solutions. In a mathematical formula (a quadratic equation), it is a special function of a cross that reveals information out about bases of the equation. The "b" term must be square-rooted before the "a" term and "c" term may be isolated by four times to calculate the discriminant. It has a (delta) next to the letter "D" that stands for discrimination. Positive discriminant describes a quadratic equation with two unique real number solutions. Repeated positive integer solutions exist for a quadratic equation with a characteristic of zero. A negative discriminant reveals that none of the solutions is a real number.
given
x2 - 5x + 2 = 0
the roots of the equation
x = -b ±[tex]\frac{\sqrt{b^{2} - 4ac} }{2a}[/tex]
x = 5 ± [tex]\sqrt{17} / 2[/tex]
Therefore, using the discriminant approach, the two values of the roots of the equation X2-5x+2=0 are 4.56 and 0.44.
To know more about discriminant visit :-
https://brainly.com/question/15884086
#SPJ1
Please help! Ordering angles least to greatest as well as side lengths
As side EG is the largest side at 15, and the greatest angle is the opposite side's angle, ∠F.
what is triangle ?Given that it consists of sides and three vertices, a triangle qualifies as a polygon. It connects to the fundamental geometric shapes. Triangle ABC is the term used to refer to such a triangle with the points A, B, and C. When the three points are not collinear, a unique plane and triangle in Geometric forms are discovered. Triangles are polygons because they have three sections and three corners. The points where the four structures of the triangle converge are referenced to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
given
Find the smallest angle by finding the angle opposite the smallest side, then the medium-sized angle by finding the angle opposite the medium-sized side .
Then the greatest angle by finding the angle opposite the largest side when there are three side lengths available.
As side FG is the smallest side at 7, and the smallest angle is the one across from it, ∠ E.
The opposing angle, ∠G, is the medium-sized angle, just as side EF is a medium-sized side as measured by 12.39.
As side EG is the largest side at 15, and the greatest angle is the opposite side's angle, ∠F.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
The complete question is :-
a) Order the angle measures m∠E , m∠F and m∠EGF from least to greatest ad well as side length .
how many faces edges and vertices does a rectangular prism have
A rectangular prism has 6 faces, 8 vertices and 12 edges.
What is rectangular prism?
A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid. A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
If all the faces of the prism are squares then the rectangular prism is a cube. The volume of a rectangular prism is a measure of the space inside the prism.
To learn more about rectangular prism refers to;
https://brainly.com/question/477459
#SPJ4
Solve for x in the diagram below
The value of the variable x in the given right angle expression is; x = 11
How to solve right angle problems?We know that a right angle simply means an angle that is equal to 90 degrees.
Now, we see that the sum total of the angle in the diagram is 90 degrees and as such the sum of the two internal angles will be 90 degrees.
Thus;
5x + 35 = 90
Subtract 35 from both sides to get;
5x = 55
x = 55/5
x = 11
Read more about Right Angles at; https://brainly.com/question/64787
#SPJ1
Ellen has maxed out her credit card at $19,500 and vows not to make any other credit card purchases. Her credit card company charges 1. 5% interest per
month, and the minimum monthly payment is all interest due plus 3% of the principal balance. How much of the balance can Ellen pay down if she pays the
minimum payment only for 3 months? Round the answer to the nearest cent.
After three months, Alan would have paid off how many dollars?
Answer:
$538
Step-by-step explanation:
The minimum payment in the first month would be:
Minimum payment = 1.5% * $19,500 + 3% * $19,500 = $292.25
At the end of the first month, the balance would be:
Balance = $19,500 + $19,500 * 1.5% - $292.25 = $19,318.375
In the second month, the minimum payment would be:
Minimum payment = 1.5% * $19,318.375 + 3% * $19,318.375 = $291.26
At the end of the second month, the balance would be:
Balance = $19,318.375 + $19,318.375 * 1.5% - $291.27 = $19,138.89
In the third month, the minimum payment would be:
Minimum payment = 1.5% * $19,138.89 + 3% * $19,138.89 = $290.26
At the end of the third month, the balance would be:
Balance = $19,138.89 + $19,138.89 * 1.5% - $290.26 = $18,961.62
So, Ellen would have paid off $19,500 - $18,961.62 = $538.38. The answer rounded to the nearest cent is $538
A cup of coffee contains approximately 95 mg of caffeine. If caffeine is eliminated from the body at a rate of 11% per hour, how long will it take for half of the caffeine to be eliminated from a person’s body?
Name the seven types of quadrilaterals?
Different Quadrilateral Types
Trapezium.Parallelogram.Rectangle.Rhombus.Square.Kite.What is meant by quadrilateral?A polygon with four sides, four vertices, and four angles is called a closed quadrilateral. A polygon with four sides, such as a square, rectangle, or rhombus, is referred to as a quadrilateral.You are most likely currently staring at a computer screen that resembles a quadrilateral. Geometry lessons cover the quadrilateral as a geometrical shape.A polygon with four sides exactly is referred to as a quadrilateral. The fact that a quadrilateral has exactly four vertices and four angles is also implied by this. When discussing 2-D figures, it's common to talk about both the inside and the boundary (the line segments that make up the figure's edges).To learn more about quadrilaterals, refer to:
https://brainly.com/question/30066059
#SPJ4
What can you infer about non-Euclidean geometry
Non-Euclidean geometries provide a different and more general view of geometry that can help better understand the nature of space and the relationships between objects in the world .
What is Non-Euclidean geometry ?Non-Euclidean geometry is a branch of mathematics that studies the properties and characteristics of geometries that are different from Euclidean geometry, which is the traditional study of geometry and the one most people are familiar with .
Non-Euclidean geometries differ from Euclidean geometry in that they have different postulates , or basic assumptions , about the relationships between points, lines, and angles .
Find out more on Non-Euclidean geometry at https://brainly.com/question/2416794
#SPJ1
solve for x
2x-24 4x+6
Answer:
x=33
Step-by-step explanation:
[tex]180=2x-24+4x+6[/tex]
[tex]180=6x-18[/tex]
[tex]198=6x[/tex]
[tex]x=33[/tex]
The function f(x)=x√ is horizontally stretched by a factor of 2 to form function g(x).
What is the equation of g(x)?
The solution is , The equation of g(x) is g(x) = 2*x^(1/2).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
The original function f(x) is defined
as f(x) = x^(1/2)
which is the square root of x.
When the function is stretched horizontally by a factor of 2,
the x term becomes 2x.
So the new function g(x) is defined
as g(x) = 2*x^(1/2)
Hence, The solution is , The equation of g(x) is g(x) = 2*x^(1/2).
To learn more on function click:
brainly.com/question/21145944
#SPJ1
What is the percent of increase from 40 to 48
4. You are painting the roof of a
boathouse. You are going to
place the base of a ladder
3.2 feet from the boathouse.
How long does the ladder
need to be to reach the
roof of the boathouse?
K
3.2 ft
12.6 ft
Answer:
ladder has to be at least 13 ft long
Step-by-step explanation:
l = length of the ladder
12.6² + 3.2² = l²
l² = 158.76 + 10.24 = 169
√l² = l = √169 = 13
The ladder is the hypotenuse of a right triangle with sides 12.6 and 3.2
The function h(x) = -x +34 models the height of the roof of a house, where x is the horizontal distance from the center of the house. If a raindrop
falls from the end of the roof, how far from the center of the base does it land? Explain your solution.
The horizontal distance of a raindrop that falls from the end of the roof to the center of the base of the house, obtained from the linear equation for the height of the roof is; x = 18 feet
What is a linear equation?A linear equation is an equation that has one as the highest index, and which when graphed, forms a straight line.
The linear function for the height of the roof is, h(x) = -|x| + 34
Where;
h(x) = The height of the roof
x = The horizontal distance from the center of the roof
The minimum height of the roof, obtained from the diagram = 16 feet
Therefore, we get, when h(x) 16, substituting the value h(x) = 16, in the function for the height of the roof, we get;
h(x) = -|x| + 34
h(x) = 16
Therefore, 16 = -|x| + 34 (substitution property)
|x| = 34 - 16 = 18
The distance from the center of the house, which corresponds to the least height of the roof, which is the end of the roof and the location at which the raindrop falls is; x = 18 feet
Learn more on the graph of linear function here: https://brainly.com/question/4025726
#SPJ1
Inverse Variation
Independent Practice
Suppose a camper took 2 h to ride around a resevoir at 10 mi/h at the beginning of the summer. By the end of the summer, she can ride around the resevoir in 1
h. What is her rate at the end of the summer?
A. 30 mi/h
B. 0.35 mi/h
C. 13.3 mi/h
D. 9.5 mi/h
Her rate at the end of the summer is 20 miles per hour.
What is her rate at the end of the summer?We can define the rate in this case as the change in position as a function of the time.
So, the rate would be something like a speed (exactly a speed, actually).
Initially, the camper travles at a rate of 10mi/h in 2 hours, so the total distance is:
d = (10mi/h)*2h = 20mi
And at the end of the sumer, the camper travels that distance in one hour, so the rate at the end of the summer is:
R = 20mi/1h = 20mi/h
Learn more about rates at:
https://brainly.com/question/24937565
#SPJ1
a = [1 0 -4 0 3 -2 -2 6 3] b = [4 1 -4] Denote the columns of A by a1, a2, a3, and let W = Span {a1, a2, a3,}. a) is b in {a1, a2, a3,}? how many vectors are in {a1, a2, a3,}? is b in W?
If a = [tex]\left[\begin{array}{ccc}1&0&-4\\0&3&-2\\-2&6&3\end{array}\right][/tex] , b = [tex]\left[\begin{array}{ccc}4\\1\\-4\end{array}\right][/tex] and we denote the columns of A by a₁, a₂, a₃, and let W = Span {a₁, a₂, a₃,} , then b is not in {a₁, a₂, a₃} .
The Span of set of vectors is set of all linear combinations of those vectors. In other words, it's the set of all possible vectors that can be created by taking a weighted sum of the original vectors.
The span of a set of vectors is a subspace of the vector space in which the vectors lie, and it's the smallest subspace that contains all of the original vectors.
The vector b is not in {a₁,a₂,a₃} because "b" is not equal to any of the column vectors of A. Clearly, there are only 3 vectors in {a₁,a₂,a₃}.
The given question is incomplete , the complete question is
a = [tex]\left[\begin{array}{ccc}1&0&-4\\0&3&-2\\-2&6&3\end{array}\right][/tex] , b = [tex]\left[\begin{array}{ccc}4\\1\\-4\end{array}\right][/tex] . Denote the columns of A by a₁, a₂, a₃, and let W = Span {a₁, a₂, a₃,}. Is b in {a₁, a₂, a₃} ?
Learn more about Span here
https://brainly.com/question/17489877
#SPJ4
the position of the particle as a function of time is given by x(t) = e-(t - 3)2, where x is in meters and t is in seconds. what is the velocity of the particle, in meters per second, at t = 2.9 s?
For a particle having a position of function e^-(t - 3)², the velocity at 2.9s is obtained as 0.198008 m/s.
What is velocity?
The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.
The position of a particle is denoted by a function x(t) = e^-(t - 3)², where x is the distance and t is the time.
Differentiate the function -
v(x) = d/dt(x) = d/dt[e^-(t - 3)²]
v(x) = e^-(t - 3)²[-2(t - 3)]
Now, substitute the value of t = 2.9 in the equation -
v(2.9) = e^-(2.9 - 3)²[-2(2.9 - 3)]
v(2.9) = e^-(-0.1)²[-2(-0.1)]
Use the exponent formula a^-b = 1/a^b -
v(2.9) = 1/e^(-0.1)²[0.2]
Square the digit (0.1) -
v(2.9) = 1/e^(0.01)[0.2]
Substitute the value ofe^0.01 = 1.01005 -
v(2.9) = (1/1.01005)[0.2]
Use the arithmetic operation of division -
v(2.9) = (0.99004)[0.2]
v(2.9) = 0.198008
Therefore, the velocity of the particle is 0.198008 m/s.
To learn more about velocity from the given link
https://brainly.com/question/24445340
#SPJ4
how to reccepts 10 integers from the user using an array and a loop. the user will type the input on the console.
The reaccepts 10 integers from the user using an array and a loop is explained below.
To start, you need to declare an array variable that can store 10 integers. For example, you can declare an array variable called "numbers" as follows:
int numbers[10];
Next, you will use a loop to repeatedly ask the user to input an integer. The loop will run 10 times to receive 10 integers. You can use the for loop for this purpose.
Here is an example:
for (int i = 0; i < 10; i++) {
printf("Enter integer %d: ", i + 1);
scanf("%d", &numbers[i]);
}
In this code, the for loop starts with the value of i being 0. It runs until i is less than 10. After each iteration, i is incremented by 1.
After the loop finishes, all 10 integers received from the user are stored in the numbers array. You can access them using the index of the array.
In conclusion, to receive 10 integers from the user using an array and a loop, you need to declare an array variable, use a for loop to repeatedly ask the user for input, and store the input in the array using the scanf function.
To know more about function here.
https://brainly.com/question/28193995
#SPJ4
Please help me outtt
Hey there!
|2x + 1| < -4
Since you have an absolute value that is LESS than 0, we can say that it doesn’t have any solutions.
Thus, your answer should be:
NO SOLUTIONS
REMEMBER: If your absolute value is smaller/less than 0, you would NOT have any solutions to the particular equation (like this one you have provided just now)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I need help seeing if I’m correct with my answers .please and thank you
Answer:
Step-by-step explanation:
13) 5.38 Slightly off
14) 10.4 Correct
15) Can't read the numbers
16) 11.7 slightly off
17) Can't read (be careful with which side goes where in the Pythagorean Theorem calculation. a^2 + b^2 = c^2 where a and b are the two sides and c is the hypotenuse (across from the right angle).
18) 16.46
19) 10.57
20) 7.04
21) 4.87 It seems that the hypotenuse is given as 7.2, so the equation should be 5.3^2 + x^2 = 7.2^2
22) Same as in 21: 2.7^2 + x^2 = 6.5^2 x = 5.91
[But I'm having difficulty reading the problems due to fuzziness]
A basketball player has made 13 out of 20 free throws so far this season. How many
consecutive free throws must the basketball player make to raise the free throw average
to 0.75? Justify your answer.
Answer:
Step-by-step explanation:
x=8