Therefore ,as a result, 42/5 is the value of the first term in the equation for the arithmetic mean.
What does arithmetic mean?The arithmetic average or means of the group is calculated as the sum of each value in a list divided by the total number of things in that list. The progression in mathematics is the same as this. The average of the integers 5, 7, and 9 is 4, as shown by the equation 5 + 7 + 9 being equal to 21, and 21 divided by 3 (there are actually three numbers) being equal to 7.
Here,
Given :
5 a + 10 d = 70 in the first five terms (1)
The first ten terms add up to 10 a + 45 d = 210. (2)
This means that in order to solve the system for a, multiply equation (1) by 2, then subtract it from equation (2):
=> 10a - 10a + 45d - 20d = 210-140
=> 25d = 70
=> d = 70/25
=> d = 14/5
A value then becomes:
5a + 10*14/5 = 70;
5a = 70-140/5;
5a = 350-140/5;
a = 42/5.
42/5 is the response.
As a result, 42/5 is the value of the first term in the equation for the arithmetic mean.
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Together, teammates Pedro and Ricky got 2674 base hits last season. Pedro had 282 more hits than Ricky. How many hits did each player have?
Answer: 1478 = Pedro
1196 = Ricky
Step-by-step explanation: 2674-282 = 2392/2 = 1196 = Ricky
1196+282 = 1478 = Pedro
25+x/9+x=13+x/47-x solve by completing the square help me please
Answer:
-11 1/2.
Step-by-step explanation:
To solve the equation 25 + x/9 + x = 13 + x/47 - x, we'll start by combining like terms on both sides:
25 + x/9 + x = 13 + x/47 - x
(25 + x) + (x/9 - x/47) = 13
(25 + x) + x * (9/47) = 13
Next, we'll isolate x by subtracting 25 from both sides:
x + x * (9/47) = -12
Finally, we'll isolate x by dividing both sides by 1 + (9/47):
x = -12 / (1 + (9/47)) = -12 / (1 + (9/47)) = -12 / (48/47) = -12 * 47/48
So the solution to the equation is x = -12 * 47/48 = -11 1/2.
I am really confused with this assessment. The answers are rational, irrational, and both
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: 2m+4
Step-by-step explanation:
To simplify, we need to combine "like terms", which means terms that are similar in that it is either just a number or a coefficient and variable. In this case, 3m and -m are like terms, and -6, 2, and 8 are like terms.
Now, we can combine.
-6 + 3m + 2 -m + 8
-4 + 3m - m + 8
4 + 3m - m
4 + 2m (also can be written as 2m + 4)
hope this helps!
n the diagram, four circles of radius 1 with centres $P$, $Q$, $R$, and $S$ are tangent to one another and to the sides of $\triangle ABC$, as shown. The radius of the circle with center $R$ is decreased so that the circle with center $R$ remains tangent to $BC$, the circle with center $R$ remains tangent to the other three circles, and the circle with center $P$ becomes tangent to the other three circles. The radii and tangencies of the other three circles stay the same. This changes the size and shape of $\triangle ABC$. $r$ is the new radius of the circle with center $R$. $r$ is of the form $\frac{a \sqrt{b}}{c}$. Find $a b c$.
On solving the provided question we can say that so the value of triangle - y + Z = 1+ r = > 1 -r +
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
Here,
in triangle
by construction = y0 = r - 1
Pythagoras = x² + y²
=> (1+r)² = x
=> x = √(1+r)² - (1-r)²
Pythagoras = x² + z² = 2²
=> z =√4-4r
so the value of triangle -
=> y + Z = 1+ r
=> 1 -r + 2√1 -r1 =
=> r = -1 + √5/2
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The complete question is "In the diagram, four circles of radius 1 with centres P, Q, R, and S are tangent to one another and to the sides of triangle ABC, as shown."
if one base of a trapezoid is 34 inches long and the midsegment is 27 inches, how long is the other base?
Answer: 20 inches
Step-by-step explanation:
The midsection is 1/2(base #1 + base #2)
27 = 0.5(34+x)
34+x = 54
x = 20
43. At the beginning of the month, Emika had $24 in her school cafeteria account. The table below
shows how her account balance changed over the course of three weeks. (Positive change means
money she added into her account, while negative change means money she spends.)
1.
2
Week
1
2
3
Beginning
Balance
($)
24
8
-18
Final
Balance
($)
8
-18
Change
($)
16
26
-12
Expression to show your work
24-16 = 8
8-26-18
-18--12-6
Complete the table for weeks 2-3.
How much would Emika have to deposit into the account during week 4 so that the final
balance is positive?
Answer:go to teacher 56
Step-by-step explanation:
pop op
what is the maximum of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
B
The temperature is 8 degrees Fahrenheit. It is expected to fall 5 degrees each hour for the next several hours. Write and solve and equation to find how many hours will it take for the temperature to reach negative 7 degrees fahrenheit?
Answer:
8-5x=-7 , answer is 3hours
Step-by-step explanation:
Start with the current temperature 8 degrees
Then use x to represent the hours of the temperature dropping x
Then set it equal to the temperature you want to reach -7
So 8-5x=-7
To solve get the x alone so subtract 8 form both sides
-5x=-15
And then solve
X=3
In the diagram, four circles of radius 1 with centres P, Q, R, and S are tangent to one another and to the sides of triangle ABC, as shown. The radius of the circle with center R is decreased so that the circle with center R remains tangent to BC, the circle with center R remains tangent to the other three circles, and the circle with center P becomes tangent to the other three circles. The radii and tangencies of the other three circles stay the same. This changes the size and shape of triangle ABC. r is the new radius of the circle with center R. r is of the form . Find .
On solving the provided question we can say that so the value of triangle - y + Z = 1+ r = > 1 -r +
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in triangle
by construction = y0 = r - 1
Pythagoras =
Pythagoras =
so the value of triangle -
y + Z = 1+ r
1 -r +
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The correct question is
In the diagram, four circles of radius 1 with centers P, Q, R and S are tangent to one another and sides of △ABC△, as shown. Find the perimeter of △ABC△
.(A) 12+42√12+42
(B) 12+43√12+43
(C) 12+62√12+62
(D) 12+63√12+63
(E) 24
If the temperature outside is 36 °C, what is the temperature in °F?
Answer: I believe 96.8 degrees F
Step-by-step explanation:
36°C x 9 ÷ 5 + 32= 96.8
The grain silo pictured above has a radius of 1.7 m. How much paint is required to
completely cover the sides and top of the grain silo once?
The amount of paint required for the grain silo is calculated to be
106.61 m²
How to find the paint required to cover the grain siloThe figure is made up of 2 objects a cylinder and the conical cover. Therefore, we solve for total surface area TSA of the cylinder and the cone and add
TSA for cylinder
= 2πr (h + r)
where
h = 6.2 m
r = 1.7 m
= 2π * 1.7 (6.2 + 1.7)
= 26.86π
TSA for cone
= πr (l + r)
where
l = slant height = 1.9 m
r = 1.7
= π * 1.7 (1.9 + 1.7)
= 6.12π
how much paint required = TSA for cone + TSA for cylinder
how much paint required = 6.12π + 26.86π
how much paint required = 32.98π
how much paint required = 103.61 m²
the thickness of the painting will say the volume of paint
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If lil uzi had 69,420 dollhairs and John Xina wanted 69 percent of it how much money does John Xina want???
The amount of money that John Xina wants would be = $47,899.8
What is percentage?Percentage is defined as the part of the value that can be expressed as per 100 of the whole given value. This can be represented with a symbol such as %.
The amount of money Uzi has = $69,420
The percentage of money John wants from uzi = 69%
The amount of money that is 69% of Uzi's money;
= 69/100×69,420
= 4789980/100
= $47,899.8.
Therefore, the amount of money that John wants from Uzi would be = $47,899.8.
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The question is in the picture
The value of x from the triangle is x = 30
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ABC
Now , the length of the side b = x
The length of the side a = x + 2
The measure of sin A = 4/5
The measure of sin B = 3/4
So , to find the value of x , we use the law of sines
a / sin A = b / sin B
Substituting the values in the equation , we get
( x + 2 ) / ( 4/5 ) = x / ( 3/4 )
On simplifying the equation , we get
5 ( x + 2 ) / 4 = 4x / 3
Multiply by 3 on both sides of the equation , we get
15 ( x + 2 ) / 4 = 4x
Multiply by 4 on both sides of the equation , we get
15 ( x + 2 ) = 16x
15x + 30 = 16x
Subtracting 15x on both sides of the equation , we get
x = 30
Therefore , the value of x is 30
Hence , the value of x is 30
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Plot the point (−3 1/2, 4 3/4) on the coordinate plane.
The given point has been plotted on the graph as (-3.5, 4.75).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
Given coordinate,
(−3 1/2, 4 3/4}
x = -[3 1/2]
x = -3.5
y = 4 3 /4
y = 4 + 0.75
y = 4.75
So, the coordinates of (x, y) is shown,
Thus, the given point has been plotted on the graph as (-3.5, 4.75).
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Answer:
in the picture below
Step-by-step explanation:
Please help me solve the variable for these two diagrams (please show work if any)
The measure of the angle x in the isosceles triangles are;
x = 44°
1) x = 80°
What is an isosceles triangle?An isosceles triangle is a triangle that has a pair of congruent sides and a pair of congruent angles.
The measure of the specified angle are found as follows;
The isosceles triangle that has 92° as the exterior angle, indicates that we get;
Base angles of the isosceles triangle = (180° - 92°)/2 = 44°
Vertical angles theorem, indicates that the vertical angle and the base angles of the second isosceles triangle are congruent.
Base angles of the second isosceles triangle = 44°
Angle x is a base angle of the second isosceles triangle, therefore, angle x = 44°1) The angle adjacent to the angle x is a base angle of the isosceles triangle that has a base angle of 70°
The vertex angle of the isosceles triangle = 180° - 2 × 70° = 40°
The measure of the section of the indicated 90° angle that is a part of the isosceles triangle that has angle x as the vertex angle = 90° - 40° = 50°
The measure of angle x found using the relationship between the angles in an isosceles is; x = 180° - 2 × 50° = 80°
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y=x, y=x^2, y=x^3, y=|x,| y=1/x, y=x, y=e^x, y=1/1+e^-x, y=ln(x), y=floor(x), y=sinx, y=cosx
12. three functions that are bounded above
Answer:Three functions that are bounded above are y = x^2, y = x^3, y = e^x.
y = x^2 is a parabola that opens upward and has a vertex at the origin (0,0). As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.
y = x^3 is a cubic function that also opens upward. As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.
y = e^x is the exponential function where e is Euler's number (approximately 2.718). As x increases, y will increase towards positive infinity, so the function is bounded above by positive infinity.
Step-by-step explanation:
IF ANYONE KNOWS, IT WOULD BE A GREAT HELP, help
Determine the points on the x-axis whose distance from the point (5, 0) is 13 and Determine the points on the y-axis whose distance from the point (5, 0) is 13.
The points on the x-axis whose distance from the point (5, 0) is 13 units is given as follows:
(-8, 0) and (18,0).
The points on the y-axis whole distance from the point (5, 0) is 13 are given as follows:
(0, -12) and (0, 12).
How to obtain the distance between two points?The general coordinates of the two points are given as follows:
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]
Hence the distance between them is of:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A point on the x-axis has the coordinates given as follows:
(x,0).
For the distance of 13 units from point (5,0), the possible points are given as follows:
5 - 13 = -8, hence point (-8,0).5 + 13 = 18, hence point (18, 0).On the y-axis, the coordinates are given as follows:
(0,y).
Hence the possible values of y are obtained as follows:
[tex]13 = \sqrt{5^2 + y^2}[/tex]
Applying the square root to both sides, we have that:
25 + y² = 13²
y² = 144
y = -12 or y = 12.
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A hemispherical clay pot has an inner radius of 8.2cm and outer radius of 9.1cm. Calculate the capacity of the pot.
Answer:
The capacity of the pot can be calculated by finding the volume of the clay pot. We can use the formula for the volume of a sphere to find the volume of the inside and outside of the pot and subtract the smaller volume from the larger volume to find the volume of the clay.
Step-by-step explanation:
The formula for the volume of a sphere is:
V = (4/3)πr^3
Where V is the volume and r is the radius.
First, we will calculate the volume of the inside of the pot:
V_inner = (4/3)π(8.2cm)^3 = (4/3)π(530.24cm^3) = 707.68π cm^3
Then, we will calculate the volume of the outside of the pot:
V_outer = (4/3)π(9.1cm)^3 = (4/3)π(710.29cm^3) = 961.12π cm^3
Finally, we will subtract the volume of the inside of the pot from the volume of the outside of the pot to find the volume of the clay:
V_clay = V_outer - V_inner = 961.12π cm^3 - 707.68π cm^3 = 253.44π cm^3
The capacity of the pot is 253.44π cm^3.
Note: The value of pi is 3.14 or approximately 3.14, you can use this value to calculate the capacity of the pot.
lost luggage a department of transportation report about air travel found that airlines misplace about 5 bags per 1000 passengers. suppose you are traveling with a group of people who have checked 22 pieces of luggage on your flight. can you consider the fate of these bags to be bernoulli trials? explain.
The fate of the 22 checked bags can be considered the Bernoulli trials.
A Bernoulli trial is a random experiment with two possible outcomes, often referred to as a "success" or "failure." In the context of the lost luggage problem, success would be a checked bag that is not misplaced, and failure would be a checked bag that is misplaced.
For a set of trials to be considered Bernoulli trials, the following conditions must be met:
The trials must be independent, meaning that the outcome of one trial does not affect the outcome of another trial.The probability of success (a bag not being misplaced) must be constant across all trials.The trials must have only two possible outcomes: success or failure.In this case, the fate of the 22 checked bags can be considered Bernoulli trials if the following conditions are met:
The bags are checked in separately, so the outcome of one bag does not affect the outcome of another bag, therefore they are independent trials.The probability of a bag being misplaced is given as 5 bags per 1000 passengers, which is constant across all passengers, including the group of 22 passengers.The trials have two possible outcomes: a bag is misplaced or a bag is not misplaced.Therefore, the fate of the 22 checked bags can be considered Bernoulli trials.
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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.75, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.
It is likely to randomly select a chocolate chip cookie from the batch.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
The probability of selecting the chocolate chip is given as 0.75.
Which is more than 50%
So, it is likely to randomly select a chocolate chip cookie from the batch.
Thus, It is likely to randomly select a chocolate chip cookie from the batch.
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Answer: B: Likely
Step-by-step explanation:
Which congruence theorem can be used to prove △WXZ ≅ △YZX?
Triangles W X Z and Y Z X share side X Z. Angles W X Z and X Z Y are right angles. Angles X W Z and X Y Z are congruent.
AAS ASA SAS HL
Therefore, the congruence theorem that may be employed to demonstrate that △WXZ and △YZX are equivalent is: AAS
Define congruence.Angles are considered congruent if the ratios of two shapes are equal. Similar to this, if the sides with one form are the same length and match the sides of yet another figure, the sides are congruent.
Here,
We are informed that ΔWXZ and ΔYZX share the same side.
The right angles ∠WXZ and ∠XZY are.
It is consistent for ∠XWZ and ∠XYZ.
Now that the parameters have been provided, we may infer that XZ is equal to itself according to the reflexive property for congruence, and as a result, we have a congruent side in each triangle.
Second, because ∠WXZ and ∠XZY were right angles, they are comparable and hence congruent to one another.
Finally, it is stated that ∠XWZ and ∠XYZ are congruent.
In conclusion, the triangles are identical according to the AAS Congruency since there are two corresponding angles one and corresponding sides that are both equal, but the comparable side wasn't with the included angles.
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What is the shape of an absolute value function?
There are many types of functions and each type of function has its own characteristics. This implies that their graph has also its own characteristics.
Based on the graph, the absolute value function has a "V-Shaped" graph.
Every absolute value graph makes a “V”-shaped figure. It consists of two parts: one with a negative slope and one with a positive slope. The point of their intersection is called the vertex. An absolute value graph is symmetrical, meaning that it can be folded in half on its line of symmetry.
An absolute value graph has a distinct V-shape. It is symmetric about the vertical line which passes through its vertex. The vertex of an absolute value function is the point at which the graph changes direction. Since the graph of y=|x-1|+1 changes direction at (1,1), this point is the vertex.
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A bank loaned out $19,000, part of it at the rate of 7% per year and the rest at 17% per year. If the interest received in one year totaled $2000, how much was loaned at 7%
Answer:
$12300
Step-by-step explanation:
You want to know the amount loaned at 7% if $19000 loaned at 7% and 17% earns $2000 in one year.
InterestThe interest on an investment P at rate r for t years is ...
I = Prt
The sum of the amounts of interest on a 7% investment of x and a 17% investment of (19000 -x) is given as 2000:
0.07x +0.17(19000 -x) = 2000
-0.10x +3230 = 2000 . . . simplify
1230 = 0.10x . . . . . . . . . . add 0.10x -2000
12300 = x . . . . . . . . . . . . divide by 0.10
The amount loaned at 7% was $12,300.
in convex quadrilateral wxyz, the degree measure of angle x is four times that of angle w. the measure of angle y is double that of angle x. lastly, the measure of angle z is 3 degrees larger than that of angle y. what is the degree measure of the largest angle in wxyz?
The measure of the largest angle in wxyz is 4 times the measure of angle w, plus double that measure, plus 3 degrees.
Angle w: x = 4w
Angle y: y = 2x = 8w
Angle z: z = y + 3 = 8w + 3
The largest angle in wxyz is z = 8w + 3.
In a convex quadrilateral wxyz, the degree measure of angle x is four times that of angle w. This means that the measure of angle x is four times the measure of angle w. The measure of angle y is double that of angle x. This means that the measure of angle y is twice the measure of angle x, or eight times the measure of angle w. Lastly, the measure of angle z is 3 degrees larger than that of angle y. This means that the measure of angle z is eight times the measure of angle w plus three degrees. Therefore, the measure of the largest angle in wxyz is 8w + 3.
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Use the net to find the surface area of the prism.
HELP!!!!
360 in2
480 in2
432 in2
408 in2
The surface area of the prism shown in the figure is equal to 480 square inches. (Right choice: B)
How to find the surface area of the prismIn this problem we need to determine the surface area of a prism, that is, the sum of the areas of the five faces of the prism. There are three rectangles and two right triangles as faces of the prism, whose area formulas are described below:
Rectangle
A = w · l
Triangle
A = 0.5 · w · l
Where:
w - Width, in inchesl - Length, in inchesNow we proceed to determine the areas of all faces of the prism:
A = (8 in) · (9 in) + 2 · 0.5 · (15 in) · (8 in) + (9 in) · (15 in) + (17 in) · (9 in)
A = 480 in²
The prism shown in the figure has a surface area of 480 square inches.
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Andrew plays trumpet in the concert band. He holds the trumpet still at his side until it is time for him to play. When it is time, he brings the trumpet up to his
mouth and starts to play. Which statement correctly connects the motion of the trumpet with Newton's first law of motion?
OA. A tuba has more mass than a trumpet, so it has greater inertia.
OB. The trumpet automatically stops moving without a force acting on it.
OC. The trumpet starts moving because a net force overcomes the trumpet's inertia.
OD. Andrew exerts an action force on the trumpet, and the trumpet exerts a reaction force on Andrew.
Option C connects the motion of the trumpet with Newton's first law of motion. The trumpet starts moving because a net force overcomes the trumpet's inertia.
What is Newton's first law of motion?According to Newton's first law of motion, a body won't begin to move unless and until an outside force acts on it. When anything starts moving, it won't stop or vary its speed unless another force acts on it. The law of inertia is another name for the first law of motion.
Given, The concert band's trumpet player is Andrew. Until it is time for him to play, he keeps the instrument still at his side. He positions the trumpet next to his mouth and begins to play afterward.
First of all, there are no movements, no acceleration, and no velocity for the trumpet. Newton's first law of motion, which states that an object at rest stays at rest and an object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force, explains why the trumpet is in this state. The trumpet continues to move at zero velocity since there is no net force exerted on it.
The trumpet is then moved by Andrew. It indicates that Andrew pushed the trumpet with vigor. It caused the body to transition from the resting condition to the moving state.
Finally, we can draw the conclusion that Trumpet will remain at rest unless Andrew applies a net force that is different from zero in accordance with Newton's first law of motion.
Hence, The trumpet starts moving because a net force overcomes the trumpet's inertia.
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Evaluate the integral. from 1 to 3 [ ✓ x2 + 9 dx
An integral in calculus is a mathematical concept that can be used to represent an area or an expanded version of an area. The basic components of calculus are integrals and derivatives is[tex]-1/2*(t^2/2+18ln(t)-81/(2t^2))+C\\[/tex].
The terms antiderivative and primal are additional terms for integral. Something that is essential is crucial or required. If you are an essential member of the team, it signifies that you are necessary for the team to work. To complete the whole, an essential component is required. The term "essential" is almost a synonym in this context.
The set of functions (the antiderivative) whose derivative is the integrand is represented by the integral, which is referred to as an indefinite integral. Calculus' fundamental theorem connects the assessment of definite integrals to that of indefinite integrals.
From 1 to 3:
[tex]sqrt(x^2+9)=t+x\\x=(9-t^2)/(2*t)\\anddx=-(t^2+9)/(2t^2)dt\\= 1/2int (t^2+9)^2/t^3dt\\= -1/2int (t+18/t+81/t^3)dt\\= -1/2*(t^2/2+18ln(t)-81/(2t^2))+C\\[/tex]
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A cube with side length 5h^2 is sTacked on another cube with side length 3k . What is the total volume of the cubes in factored form?
(5h^2)^3 + (3k)^3
(5h^2 + 3k) + (25h^4 - 15 h^2k + 9k^2)
(5h^2 + 3k) + (25h^4 + 15 h^2k + 9k^2)
(5h^2 + 3k)^3
The correct option is Option A: (5h^2)^3 + (3k)^3
The total number of cubic units that the cube totally occupies is the definition of a cube's volume. A cube is a solid three-dimensional object with six square faces. Volume is simply the total amount of space an object takes up. A thing with a bigger volume would take up more room.
Total Volume = V₁ + V₂
V₁ = Volume of Cube 1
V₂ = Volume of Cube 2
Volume of Cube = (Side Length)³
V₁ = (5h²)³
V₂ = (3k)³
∴ Total Volume = (5h²)³ + (3k)³
And this cannot be simplified further.
Therefore, the correct option is Option A: (5h^2)^3 + (3k)^3
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003 (part 1 of 2) 10.0 points
a 0.58 kg object is at rest. a 2.65 n force
to the right acts on the object during a time
interval of 1.51 s.
a) what is the velocity of the object at the
end of this time interval?
answer in units of m/s.
004 (part 2 of 2) 10.0 points
at the end of this interval, a constant force of
3.60 n to the left is applied for 2.86 s.
b) what is the velocity at the end of the
2.86 s?
answer in units of m/s.
At the end of 1.51 seconds, the velocity is 6.9 m/s, and at the end of 2.86 seconds, it is 24.64 m/s.
What is the basic meaning of velocity?The dislocation that an article of particle experiences with regard to the time is expressed vectorially as velocity. The meter per moment (m/s) is the accepted unit of velocity profiles (also known as speed).
A. F = ma, where F is force, m is mass and a is acceleration.
a = 2.65/0.58
Performing division
a = 4.57 m/s²
With respect to final and starting velocities, acceleration, and time, the formula is v = u + at.
v = 4.57×1.51
The act of multiplying
v = 6.9 m/s.
B). New acceleration = 3.60/0.58
The act of multiplying
New acceleration = 6.2 m/s²
v = u + at
v = 6.9 + 6.2×2.86
Performing multiplication
v = 6.9 + 17.75
Performing addition
v = 24.64 m/s.
At two different locations, the velocities are 6.9 m/s or 24.64 m/s.
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