a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.
b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).
Caso de movimiento uniformemente acelerado
El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración ([tex]a[/tex]), en metros por segundo al cuadrado, es constante en el tiempo ([tex]t[/tex]), en segundos.
a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:
[tex]x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)
Donde:
[tex]x[/tex] - Cambio en la posición, en kilómetros. [tex]v_{o}[/tex] - Rapidez inicial, en metros por segundo.Si sabemos que [tex]x = 500\,m[/tex], [tex]a = 0.8\,\frac{m}{s}[/tex] y [tex]v_{o} = 0\,\frac{m}{s}[/tex], entonces tenemos que el tiempo requerido es:
[tex]0.4\cdot t^{2}-500 = 0[/tex]
[tex]t \approx 35.355\,s[/tex]
El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. [tex]\blacksquare[/tex]
b) La rapidez final ([tex]v[/tex]), en metros por segundo, se determina con el siguiente polinomio de primer orden:
[tex]v = v_{o} + a\cdot t[/tex] (2)
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 0.8\,\frac{m}{s^{2}}[/tex] y [tex]t = 1250\,s[/tex], entonces tenemos que la rapidez final es:
[tex]v = 0 + 0.8\cdot (35.355)[/tex]
[tex]v = 28.284\,\frac{m}{s}[/tex] [tex]\left(101.822\,\frac{km}{h} \right)[/tex]
La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). [tex]\blacksquare[/tex]
Para aprender más sobre movimiento uniforme, invitamos a ver esta pregunta verificada: https://brainly.com/question/118814
A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1
cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters.
Round your answer to the nearest tenth if necessary.
The volume of the cylinder is the amount of space in the cylinder
The volume of the cylinder is 218.4 cubic centimeter
How to determine the volume of the cylinder?The given parameters are:
Circumference (C) = 14 cm
Height (h) = 10.1 cm
Start by calculating the radius (r) using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]2\pi r = 14[/tex]
Make r the subject
[tex]r =\frac 7\pi[/tex]
The volume of the cylinder is then calculated as:
[tex]V =\pi r^2h[/tex]
This gives
[tex]V =\pi * (\frac{7}{\pi})^2 * 14[/tex]
Evaluate
[tex]V =218.4[/tex]
Hence, the volume of the cylinder is 218.4 cubic centimeter
Read more about volumes at:
https://brainly.com/question/10171109
Solve each of the following equations. Show its solution set on a number line. Check your answers. 3(x-2)=12
PLS HELP WILL GIVE BRAINLIEST
x = 6
Step-by-step explanation:
[tex]\sf3(x - 2) = 12 \\ \sf3x - 6 = 12 \\\sf3x = 12 + 6 \\ \sf3x = 18 \\ \sf \: x = \frac{18}{3} \\ \sf \: x = 6[/tex]
Answer: (negative solution): x=-2, (positive solution): x=6
Which list of numbers could be used to name each point plotted on the number line?
A nuimber line goes from 3.45 to 3.6 in increments of 0.01. Blanks are located as follows: above the first tick mark after 3.45, above the second tick mark after 3.45, above the third tick mark after 3.5, and above the first tick mark after 3.55.
Answer:
Step-by-step explanation:
numbers are {3.46,3.47,3.48,3.49,3.50,3.51,3.52,3.53,3.54,3.55,3.56,3.57,3.58,3.59}
Sort all of the following triangle side lengths into if each set would form a right, acute, or obtuse triangle.
Answer:
acute, acute, obtuse*, right, obtuse
Step-by-step explanation:
The Pythagorean theorem is used as a reference for classifying triangles from their side lengths. If the sum of the squares of the short sides is equal to the square of the long side, then the triangle is a right triangle. If the long side is too short, then triangle is acute. If the long side is too long, the triangle is obtuse.
__
The math can be tedious, so it is convenient to let a spreadsheet do it. The results are attached.
The first two triangles are acute; the 4th one is a right triangle, and the remaining two are obtuse.
_____
Additional comment
* Note that triangle #3, with side lengths 2, 4, 6, is classified as "obtuse" because the largest angle is greater than 90°. In fact, with those side lengths, the largest angle is 180°. Some would argue it isn't a triangle at all because its area is 0 and it looks like a line segment.
(Our spreadsheet doesn't care if the triangle inequality is not satisifed. It is only concerned with the Pythagorean theorem.)
The quadratic function
Answer:
Four and three arithmetic numbers of this equation are then
Step-by-step explanation:
[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]
And the numbers are equal
[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]
Choose the number (X) that should come next in this series (1 4 9 16 X).
20
23
25
27
Answer:
25
Step-by-step explanation:
[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer
Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.
Please help 300 points
Answer:
4x + 9 ≥ 0
Step-by-step explanation:
The inside of the square root, the radicand, cannot be negative.
It can only be zero or positive.
Zero or positive is also described as being greater than or equal to 0.
Set the radicand to be greater than or equal to zero.
4x + 9 ≥ 0
Answer:
4x+9>=0
Step-by-step explanation:
The domain of a square root is that it can’t be less than 0. So we have the equation 4x+9>=0.
Question 3 of 5 How many solutions does 6 + = -5 - Lo have? 31 10 ? O A. One solution O B. Infinitely many solutions O C. Two solutions O D. No solutions
Answer:
En la Imagen adjunta
Step-by-step explanation:
Toca Para Abrir Imagen
Espero haberte ayudado si es así dame Corona
Answer:
One Solution
Step-by-step explanation:
Given:
6 + x/5 = x/5 - 5 - 3x/10
To Find:
How many solutions?
Solve:
[tex]6+\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}[/tex]
[tex]\mathrm{Subtract\:}\frac{x}{5}\mathrm{\:from\:both\:sides}[/tex]
[tex]6+\frac{x}{5}-\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}-\frac{x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6=-5-\frac{3x}{10}[/tex]
[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}[/tex]
[tex]-5-\frac{3x}{10}+5=6+5[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{3x}{10}=11[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]10\left(-\frac{3x}{10}\right)=11\cdot \:10[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-3x=110[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3x}{-3}=\frac{110}{-3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-\frac{110}{3}\;or\;\left(\mathrm{In \;Decimal\;form}:\quad x=-36.66666\dots \right)[/tex]
~lenvy~
which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up
Answer:
A. shifted 3 units left and 2 units up
Answer:
shifted 3 units left and 2 units up
Based on a survey, assume that 35% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected,
delivery by drones. Identify the values of n, ×, p, and q.
Answer:
Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.
Step-by-step explanation: hopes this helps you!
The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?
Answer:
176cm
400 times
Step-by-step explanation:
What is the outlier for the data set? PLS HELP I REALLY NEED HELP :(
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90
Answer:
6 3 5 6 8 8
Step-by-step explanation:
number is farthest apart from others
Answer:
The correct answer is 90
Step-by-step explanation:
90 is the biggest number in the number set so therefore it is an outlier.
Have an amazing day!!
Please rate and mark brainliest!!
on
Find the distance between -1/2 and 1 2/3
on
a number line.
units
Answer:
Step-by-step explanation:
1 2/3 -(-1/2)
=5/3+1/2
[tex]=\frac{10+1}{6} \\=\frac{11}{6} \\=1\frac{5}{6}[/tex]
-(4-x)=3/4(x-6) i need help pls
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=−2
hope this is what your looking for
Answer:
x = -2
Step-by-step explanation:
[tex]-4+x=\frac{3}{4}x-\frac{9}{2}[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]-4+x+4=\frac{3}{4}x-\frac{9}{2}+4[/tex]
[tex]Simplify[/tex]
[tex]x=-\frac{1}{2}+\frac{3}{4}x[/tex]
[tex]\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}[/tex]
[tex]x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x[/tex]
[tex]\frac{1}{4}x=-\frac{1}{2}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)[/tex]
[tex]x=-2[/tex]
~lenvy~
5.Find the area of the parallelogram. *
10 m
16 m
8 m
16 m
10 m
Answer:
128 because formula is bh
Step-by-step explanation:
A cake for 6 people requires 4 eggs.How many eggs are needed to make a cake big enough for 9 people
Answer:
6
Step-by-step explanation:
Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9
(4÷6) x9
Mario loaned Robert $390 at an interest rate of 18% for 229 days. How much will Robert pay Mario at the end of 229 days? Round your answer to the nearest cent.
Answer:
Amount Robert will pay back = $434.04
Step-by-step explanation:
Formula for interest is;
I = (P * R * T)/100
We are given;
P = $390
Rate = 18%
Time; T = 229 days = 229/365
Thus;
I = (390 * 18 * (229/365))/100
I = $44.04
Thus, total amount Mario will pay back = $390 + $44.04 = $434.04
A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On average, how many seconds did the clock skip every 30 minutes?
3
4
5
6
The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds
What is the clock skip reading?We know that from time conversion;
1 day = 24 hours
1 hour = 60 minutes = 2 × (30 minutes)
1 day = 24 hours × 2 × (30 minutes)
1 day = 48 × (30 minutes)
Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.
Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;
Friday = 48 × (3/4) = 24
Saturday = 48
Sunday = 48
Monday = 48 × (3/4) = 36
Total times = 24 + 48 + 48 + 36 = 156
Thus, it means that there was 156 times of 30-minutes that have passed during the time period.
x = 468 seconds ÷ 156
x = 3 seconds
Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.
Read more about Least common multiple at; https://brainly.com/question/10749076
(1 point)
A hot air balloon is launched from the ocean beach. As it moves inland, it rises and then falls, having a path given by
p(x)= - 2x^2/2500 +0.7x where x is in metres. The land rises at a rate of 2 vertical metres for each 20 horizontal metres. See the
diagram
a. At what horizontal distance does the balloon reach maximum height above sea level?
b. What is the maximum height of the balloon above seal level?
c. What is the maximum height of the balloon above ground level?
m and
d. At what horizontal distance is the balloon 50 m above the ground? List the smaller value first.
The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion
The horizontal distance which it attains a maximum heightThe function is given as:
[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]
Differentiate
[tex]p'(x) =-\frac{4}{2500}x + 0.7[/tex]
Set to 0
[tex]-\frac{4}{2500}x + 0.7 = 0[/tex]
Subtract 0.7 from both sides
[tex]-\frac{4}{2500}x =- 0.7[/tex]
Multiply through by -2500/4
[tex]x =437.5[/tex]
Hence, the horizontal distance which a maximum height is attained is 437.5 meters
The maximum height above the sea levelIn (a), we have:
[tex]x =437.5[/tex]
Substitute [tex]x =437.5[/tex] in p(x)
[tex]p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5[/tex]
Evaluate
[tex]p(437.5) =153.125[/tex]
Hence, the maximum height above the sea level is 153.125 metres
The maximum height above the ground levelIn (b), the maximum height above the sea level is 153.125 metres
The ratio of the height on land and sea is given as:
Land : Sea = 2 m : 20 m
For the maximum height, we have:
Land : 153.125 m= 2 m : 20 m
Express as fraction
Land / 153.125 m = 2 /20
Multiply both sides by 153.125
Land = 15.3125
Approximate
Land = 15.3
Hence, the maximum height above the ground level is 15.3 meters
The horizontal distance where the balloon 50 m above the groundWe have:
[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]
Substitute 50 for P(x)
[tex]-\frac{2}{2500}x^2 + 0.7x = 50[/tex]
Using a graphing calculator, we have:
x = 78.465 and 796.535
Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters
Read more about projectile motion at:
https://brainly.com/question/1130127
Help help help help math
Answer:
(-8, 12)
Step-by-step explanation:
Dilation of point (-4, 6) about point (0, 0)
Scale factor = 2
Image coordinate:
(-8, 12)
hope this helps and is right!! p.s. i really need brainliest :)
What is the answer for this question?
Answer:
is this from flvs?
Step-by-step explanation:
Help me please anybody. And I am in my school iPad
Answer:
(0,5)
Step-by-step explanation:
I'm really not sure but I'm pretty positive that this is the answer if not than my bad
Find the rule from the given table
A.Divide by 2
B.Divide by 3
C.Divide by 5
D.Divide by 6
Answer:
the answer b
Step-by-step explanation:
te answer b because I guessed
The circumference of a circle is 62.8 centimeters. What is the circle's radius?
C=62.8 cm
Use 3.14 for .
centimeters
Hello!
To solve this exercise, we must use the formula below:
[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]
C = 62.8cmπ = 3.14r = ?Knowing these values, let's replace them in the formula to obtain r:
[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]
So, the radius of this circle is 10cm.
Hope this helps!
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
180 cm ≈ _____ft ?
Answer:
that would be the circumference of the circle
= 2 pi r
= 2 * pi * 2
= 6.28 feet to 2 DP's.
Step-by-step explanation:
Answer:
6 ft
Step-by-step explanation:
Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]
180 cm ≈ 6 ft
Hope this helps!
What fraction is equivalent to six tenths and has a denominator of 100?
Answer:
3/5
Step-by-step explanation:
3/5=6/10
3/5=60/100
An exponential function has a growth factor or 3.76. What is the percentage growth rate?
The exponential function with a growth factor has a rate greater than 1
The percentage growth rate is 276%
How to determine the percentage growth rate?The growth factor (b) is given as:
b = 3.76
The growth factor (b) is greater than 1.
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 2.76
Express as percentage
r = 276%
Hence, the percentage growth rate is 276%
Read more about exponential functions at:
https://brainly.com/question/11464095
axis of symmetry f(x) = −4(x − 8)^ 2 + 3
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]
You need 3 sticks of butter for every 24 giant cookies you bake.
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
Given that :You need 3 sticks of butter for every 24 giant cookies you bake.
----------------------------------------------------------------------------------------------------------
Sticks of butter Number of cookies
3 24
x 16
5 y
----------------------------------------------------------------------------------------------------------
Let the unknown be x and y..
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 24/3 = 8
Since the number of cookies is 16 then 16/8 = 2
Thus x = 2
Next for y.
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 5 * 8 = 40
Thus, y = 40
----------------------------------------------------------------------------------------------------------
Completed table below:
Sticks of butter Number of cookies
3 24
2 16
5 40
----------------------------------------------------------------------------------------------------------
~lenvy~
Answer:
See below ↓
Step-by-step explanation:
Given
You need 3 sticks of butter for every 24 cookiesBase rate
no. of butter sticks / no. of cookies3 / 241 stick of butter for every 8 cookies16 cookies
No. of sticks = 16/8No. of butter sticks = 25 butter sticks
No. of cookies = 8 x 5No. of cookies = 40