Es importante recordar que la velocidad final será negativa, ya que la pelota se está moviendo en dirección contraria al vector de gravedad cuando toca el suelo vel = 0.9 cm/mil*2 * t
La ecuación de velocidad final de los cuerpos en caída libre es:
vel = g x t
Donde "g" es la aceleración debido a la gravedad (en la Tierra, g = -9.8 m/s^2) y "t" es el tiempo que tarda en caer la pelota. Si conocemos la altura "h" desde la que se deja caer la pelota, podemos utilizar la ecuación de cinemática:
h = 1/2 x g x t^2
Despejando "t" de esta ecuación obtenemos:
t = sqrt(2h/g)
Ahora podemos calcular el tiempo que tarda la pelota en caer al suelo:
t = sqrt(2 x altura / (0.0098 km/s^2))
Y utilizando la ecuación de velocidad final de los cuerpos en caída libre, podemos calcular la velocidad final que alcanza la pelota al tocar el piso:
vel = 0.9 cm/mil*2 * t
Es importante recordar que la velocidad final será negativa, ya que la pelota se está moviendo en dirección contraria al vector de gravedad cuando toca el suelo. Espero que esto ayude.
vel = 0.9 cm/mil*2 * t
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Select all the expressions that are equivalent to (12 + x)10.5.
It’s multiple choice and these are the answers
10.5(12x)
(10.5 + 12 + x)
10.5(12 + x)
126x
126 + 10.5x
22.5 + x
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
If Mr. Carpenter catches 6 lobsters every day from now until March 31, how many lobsters will he catch in total?
Answer:
1080
Step-by-step explanation:
your welcome
lucinda weighs two bags of apples at the grocery store. the first weighs 3 1/5 pounds. the second bag weighs 2 4/5 pounds. what's the difference in weight of the two bags?
Answer:
2/5 pound
Step-by-step explanation:
The first bag is 1/5 pound more than 3 pounds. The second bag is 1/5 pound less. The difference in weight is 1/5 +1/5 = 2/5 pounds.
If you'd like to see that as an equation, you could write ...
Δw = (3 +1/5) -(3 -1/5)
= (3 -3) +(1/5 -(-1/5))
= 0 +1/5 +1/5 = 2/5
The weight difference is 2/5 pounds.
Complete the area model to describe how to divide 370 by 5.
Enter your answers in the boxes.
Answer: The first box in the model is 60. The box above it is 300. The box above 20 is 70. The answer is 74.
Step-by-step explanation: Self-explanatory.
Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact answer. Do not round.)f(x) = x^2 + 5; g(x) = −x^2; x = 0; x = 3
The equations whose graphs encompass a region are thus provided. when the region's area is 301.5
Define area.The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. The simplest technique is to multiply the room's length and width. The floor surface area for a rectangular room is equal to the length times the width. The formula for this is area = length x width (A = lw).
Given
g(x) = x²
x = 0
x = 3
We must determine the area using the functions f(x) and g(x), which are provided.
ₐ∫ᵇ (f(x) + g(x)) dx
₀∫³ (x² + 15(x + 5)) dx
₀∫³ (x²dx + ₀∫³15(x + 5)) dx
(x³/3) + 15x²/2 + 75x
₀[x³/3]³ + ₀[15x²/2 + 75x]³
[(3 - 0)³/3] + [15(3 - 0)²/2 + 75(3 - 0)]
27/3 + 15(9/2) + 75(3)
9 + 15(4.5) + 7
76.5 + 225
301.5
The equations whose graphs encompass a region are thus provided. when the region's area is 301.5
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Please help solve for angles Q X and Z
Answer:
125
Step-by-step explanation:
Sum of Exterior Angles must add to 360 so
\(60 + 70 + 40 + 65 + x = 360\)
\(235 + x = 360\)
\(x = 125\)
Can you please help.
Answer:
1 pound = $3.75
Step-by-step explanation:
3.2 pounds = $12
→ Divide both sides by 3.2 to get 1 pounds worth
1 pound = $3.75
Find the indicated unit rate.
A machine can fill 6021 boxes of cereal in 0.9 hour. What is the unit rate in boxes per hour?
6690 boxes
per
hour
6021 boxes per hour
0 5419 boxes per hour
6022 boxes per hour
Answer:
6,690 boxes per hour
Step-by-step explanation:
Given:
Number of boxes fill = 6,021
Time is taken = 0.9 hour
Find:
Number of boxes fill per hour
Computation:
Number of boxes fill per hour = Number of boxes fill (1 hour / Time taken)
Number of boxes fill per hour = 6,021 (1 hour / 0.9 hour)
Number of boxes fill per hour = 6,690
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
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HEY ANYONE OUT THERE CAN SOLVE THIS!!
x+3=7
A.x=2
B.x=4
C.x=6
D.x=8
Answer:
X = 4 because 7 - 3 = 4 my guy
Step-by-step explanation:
3 + 4 = 7
Find the value of c- 8 when c = 18 .
The expression given is "c - 8", we need to evaluate it when the value of "c" is equal to 18. To do that we need to use "18" in the place of "c" on the expression. This is done below:
\(\begin{gathered} c-8 \\ 18-8=10 \end{gathered}\)The expression is equal to 10.
To give animals essential minerals and nutrients, farmers and ranchers often have a block of salt (called a "salt-lick") available for their animals to lick.
A rancher is ordering a box of cube-shaped salt licks. The edge lengths of each salt lick are 5/12 -foot. Is the volume of one salt lick greater or less than 1 cubic foot? Explain why or why not.
The volume of one salt lick is 125/1728 feet which is less than one cubic foot.
All the edges of the cube are congruent with each other. Suppose that: The side length of the considered cube is L units. Then, we get:
V = L³ cubic units.
The edge length of the cube is 5/12 feet. Then the volume of the cube will be given as,
V = (5/12)²
V = 125 / 1728 feet
The volume is less than one cubic foot.
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The batteries from a certain manufacturer have a mean lifetime of 820 hours, with a standard deviation of 70 hours. Assuming that the lifetimes are normally distributed, complete the following statements?
(a) Approximately ? of the batteries have lifetimes between 680 hours and 960 hours.
(b) Approximately ? of the batteries have lifetimes between 680hours and 960hours.
Answer:
it equals 57,400
Step-by-step explanation:
your multiplying 820 into 70 hours
Monique is paid p dollars monthly. She also receives a bonus of $5,500 once a year. Write an expression to
represent the amount of money Monique is paid in ore year?
Answer:
Step-by-step explanation:
monthly express as p
in a year she will have 12p+5,500
how do you solve this?
Answer:
Horizontal component = 9.6
Step-by-step explanation:
Recall that the horizontal component is given by the cosine projection;
\(v_x=|v_0| * cos(\theta)\)
which in our case (using the fact that in each degree of angle one has 60 minutes of angle, and therefore 30 minutes of angles is the same as 0.5 degrees) becomes:
\(v_x=12.6 * cos(40.5^o)=9.5811\)
And rounding to the nearest tenth as requested, we have:
\(v_x=9.6\)
Someone help I have no idea how to do this, it would help if I could get a step by step
Answer: x=3
Step-by-step explanation:
shaded part is 5/6 of the full circle, so just make an equation.
5/6 pi r^2(formula to find area)=15/2 pi(area given)
cancel out pi and simplify
r^2=9
r=+-3 but cant be negative so r=3
What is the area of the parallelogram shown?
yd²
The area of the parallelogram that is shown above would be = 9 yd².
What is a parallelogram?A parallelogram is defined as the quadrilateral that has four sides whose sides are also parallel to each other.
The formula that can be used to calculate the area of the parallelogram = base × height ( diagonal)
The base = 4½ yd
height = 2 yd (diagonal)
Area = 4½× 2 = 9yd².
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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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It costs $3.15 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts?
Answer:7.88
Step-by-step explanation:
You and 2
2
friends have a job cleaning houses. You split the total money you make so that you each get the same amount. On the first day, you earn $93
$
93
. The second day, you earn $75
$
75
. The third day, you earn $108
$
108
. How much money do you each get for 3
3
days of work?
The amount of money that each person would get for the three days of work is $92.
How much would each person get?The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.
Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day
= $93 + $75 +$108 =$276
The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.
The amount of money gotten by each person = total earnings / total number of people
$276 / 3 = $92
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The circle below is centered at the point (-3.5, 6) and has a radius of length 1.6. Write the equation for the circle.
Answer:
(x – 3.5)^2 + (y +6)^2 = 1.6^2
Step-by-step explanation:
(x – h)^2 + (y – k)^2 = r^2 is the equation of a circle
plug the radius in for r
switch the signs of the center points and plug them in for h and k
A company offers free shipping on orders that weigh less than 5000 grams. use the facts to find how muchthis is in kilograms.
Answer:There's 1000 grams in a kilogram thus in this case it ought to be less than 5 kg.
Step-by-step explanation:
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answer:
32km
Step-by-step explanation:
WHICH ONE? NEED ASAP THANK YOU
Answer:
see below
Step-by-step explanation:
the third one
8m^2-5m^+9m^2-9-4-2m
You add 8 and 9, as they have the same exponents, and as there is only one answer witha positive 17, it is ur answer
Ana runs 3/4 in 6 minutes. Fill in the missing values in the table. Using
the table, find the constant of proportionality. Then write an equation to
represent this relationship. Lessons 2-3 7.AR.4.2
Answer:
In the first one you should write: 6, because the test tells you that in 6 minutes she runs 3/4miles.
So in 12 minutes she runs (3/4miles)*2. (basically 3/4 miles in the first 6 minutes, and other 3/4 miles in the remaining 6munutes).
So in the second space you can write 12, and on the right 2*(3/4), which is... (3/2).
To find the equation:
3/4 = 6
(3/4)*2= 6*2
so we know that in 1 minute we do 1/8miles, and now we have our formula. (1/8)*6=1*6
the formula is: y(miles) =(1/8)*x
in fact is x=6 minutes, y= (1/8)*6, so y=3/4.
graph h(x)=(x-1)^2-9
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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Solve x^2 – 3x = 18 by factoring.
a
{–6, 3}
b
{–9, 2}
c
{–3, 6}
d
{6}
Answer:
d
Step-by-step explanation:
x²-6x+3x-18=0
x(x-6)+3(x-6)=0
(x+3)(x-6)=0
x=-3 or 6
What’s the answer to If =3+23
, what is
when =1
and =2
?
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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 A student solved the following equation using the following stepsi
4(2 - 3x) = x - 2(2x + 1)
8 - 3x = x - 4x - 2
8 - 3x = -3x - 2
y = 0
Based on the student's work, the equation was solved
The equation solved correctly would show that it has
solution(s).
Word Bank:
correctly
three
infinite
incorrectly
00
TWO
one
Blank 1:
Blank 2:
Based on the student's work, the equation was solved incorrectly. B. The equation solved correctly would show that it has one solution(s).
What is an equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For instance, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.
In correct solution of the equation is given as:
4(2 - 3x) = x - 2(2x + 1)
8 - 12x = x - 4x - 2
8 - 12x = -3x - 2
8 + 2 = 12x - 3x
10 = 9x
x = 10/9
Hence, based on the student's work, the equation was solved incorrectly.
The equation solved correctly would show that it has one solution(s).
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