Veremos que la ecuación que describe el movimiento del camión es:
f(t) = -2km + (10km/h)*t
¿Como encontrar la ecuación de movimiento del camión?Primero debemos recordar la relación:
distancia = velocidad*tiempo.
Entonces, podemos escribir la pocición del camión como:
f(t) = pocición inicial + velocidad*t
Donde t es el tiempo en horas.
Sabemos que:
posición inicial = -2kmvelocidad = 10km/hReemplazando eso obtenemos:
f(t) = -2km + (10km/h)*t
Esta es la ecuación de movimiento del camión.
Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:
https://brainly.com/question/19365526
Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie has Kurtis watched? Show your Work.
Answer:
ok so this is just multiplycation
30% is also 0.3 so
280*0.3=84
84 minutes or
1 hour 24 minutes
Hope This Helps!!!
Answer: 23810645.03820431-24
Step-by-step explanation:
Used my brain :)
Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?
Answer:
Step-by-step explanation:
4. m < 1 + m < 4 + m < 5 = 180
Messyfull people I need your help!!!!
Step-by-step explanation:
[tex] \sin(θ) = \frac{2}{5} [/tex]
We know that
[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]
Using that we get
[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]
[tex] = 1 - \frac{4}{25} [/tex]
[tex] \frac{21}{25} [/tex]
hence
[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]
Step-by-step explanation:
please mark me as brainlest
Roberto has by saltine crackers at the store. The label on the shelf for brand A says that it’s unit cost is $3.75/lb. Brand B says that its unit cost is $0.18/oz. Which is the better by?
Answer:
Brand A
Step-by-step explanation:
IN the end buying it for $3.75/lb would end up being cheaper then buying it for $0.18/oz. Hopethis helps!
*50 points* Pls help. Pls answer both part A and Part B. Look at the picture for question.
Answer:
Eleanor has made an error in Step 1
She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.
Step 1 should be: [tex]x+18=8(2x-6)-18x[/tex]
Correct solution
Given: [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]
Step 1: [tex]x+18=8(2x-6)-18x[/tex]
Step 2: [tex]x+18=16x-48-18x[/tex]
Step 3: [tex]x+18=-48-2x[/tex]
Step 4: [tex]66=-3x[/tex]
Step 5: [tex]x=-22[/tex]
What number must you add to complete the square?
x^2 + 8x = -3
A. 64
B. 8
C. 4
D. 16
Answer:
4
Step-by-step explanation:
Use calculus to find the volume of the following solid S:
The base of S is the parabolic region {(x,y)|x^2≤y≤1}. Cross-sections perpendicular to the y-axis are squares.
S casts a "shadow" on the x-y plane given by the set
[tex]S' = \left\{(x,y) ~:~ -1 \le x \le 1 \text{ and } x^2 \le y \le 1\right\}[/tex]
Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².
The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is
[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = \int_{-1}^1 (1 - 2x^2 + x^4) \, dx[/tex]
The integrand is even, so this integral is equal to twice the integral over [0, 1] :
[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = 2 \int_0^1 (1 - 2x^2 + x^4) \, dx = 2 \left(1 - \frac23 + \frac15\right) = \boxed{\frac{16}{15}}[/tex]
Which of the following is the correct factorization of the polynomial below?
64x^3 + 27
A. (16x + 8)(3x^2 - 12x + 9)
B. (4x + 3)(16x^2 - 12x + 9)
C. (3x^2 + 4)(3x - 16x + 16)
D. The polynomial is irreducible.
they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³
doing so:
A:
48x³+...
B:
64x³+...
C:
9x³-48x³+...
= -39x³+...
-> the answer should be B, to make sure this is the right answer, you can just solve B
B:
(4x+3)(16x²-12x+9)
= 64x³- 48x²+36x+48x²-36x+27
= 64x³+27
-> answer B is correct
What is the volume of a sphere with a radius of 8.8in
Answer:
2854.5 in^3
Step-by-step explanation:
4/3 π(8.8)^3
4/3π(681.472)
908.63π = 2854.5 in^3
Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4
The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
What is the equation of line?The equation of the line is the way of representation of a line in the equation form.
The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
[tex]y=mx+c[/tex]
Here, (m) is the slope of the line and (c) is the y intercept.
This line is parallel to the line which has to be find out is,
[tex]y=-5x+4[/tex]
As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.
Compare with standard equation of line, we get the slope of the line,
[tex]m=-5[/tex]
Thus, the equation of line become,
[tex]y=-5x+c[/tex]
The line passes through (1,2). Put these values in the above equation as,
[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]
Thus, the equation become,
[tex]y=-5x+7[/tex]
Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
Learn more about the equation of line here;
https://brainly.com/question/13763238
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Solve and describe the steps used to find x for the equation 4 (x+4) – 10 = 14
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Given equation:
[tex]4(x+4)-10=14[/tex]
Add 10 to both sides:
[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]
Divide both sides by 4:
[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]
Subtract 4 from both sides:
[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]
Therefore, the solution is [tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.
⇒ 4(x + 4) - 10 = 14⇒ 4x + 16 - 10 = 14Simplify the left hand side as needed to determine the "x" variable.
⇒ 4x + 6 = 14Subtract 6 both sides to isolate the "x" variable and it's cooeficient.
⇒ 4x + 6 - 6 = 14 - 6⇒ 4x = 8Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.
⇒ 4x/4 = 8/4⇒ x = 2Thus, the value of x is 2.
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. radius is 5 height is 5
Please answer. Show work. Find volume. Thanks!
Answer:
225
Step-by-step explanation:
if you convirt them all to fractions and make it 5/1*10/1*36/1=225
a
Write a rule that Linda can use to figure out how many cups of chocolate she needs for any
number of cups of cream when making Super Truffles.
Answer:
Multiply the number of cups of cream by two and a half.
Hello can someone please help me ??? Solve the following system of equations graphically on the set of axes ?? y=2/3x+3 ...................................................................y=- 4/3-3 both of them on graph Please. ...
keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.
I need help with a math problem.
Answer:
where is the problem?
Natasha's uncle has a rectangular field that has an area of 5/8 square miles. The width of the field is 1/4 mile. How long is the field? Show your work.
Answer:
5/2 or 2 1/2
Step-by-step explanation:
You divide the area by the width to get the length
5/8 / 1/4 and do keep change flip to get:
5/8 * 4/1 = 20/8 which you then simplify and get 5/2
Helppp PLEASE ASPPP HELP HELP HELP PLEASE HELP
Answer:
c. 17/12
Step-by-step explanation:
Can slope intercept form have y as the slope?
For example:
x = 7y
Answer:
yes
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
PLEASE HELP FOR BRAINLIEST, I'M DOING A TESTTT.
Find the area of the triangle below.
Be sure to include the CORRECT UNIT in your answer.
Answer:
the answer is 60 yards for the triangle
Help 4 easy math questions
Step-by-step explanation:
1) x+13+90 = 180
or, x = 180 - 103
x = 77
2) x+74+90 = 180
or, x = 180 - 164
x = 16
3) x+62+45 = 180
or, x = 180 - 107
x = 73
Question 2 I need help
Thank youuu
Answer:
Pls help me with my questions
Step-by-step explanation:
how do I get help with my math work?
Answer:
post your question and someone will respond
An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?
A.
{1,2,3,4,5,6,skip,skip}; P(1)=0.125
B.
{1,2,3,skip,4,5,6}; P(1)=0.14
C.
{1,2,3,4,5,6, skip}; P(1)=0.125
D.
{1,2,3,4,5,6}; P(1)=0.17
Using it's concepts, it is found that the sample space and the desired probability are given by:
C. {1,2,3,4,5,6,skip}; P(1)=0.125
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:
{1,2,3,4,5,6, skip}
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, one out of eight outcomes result in a one, hence:
P(1) = 1/8 = 0.125.
Which means that option C is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
Evaluate each expression if f = –4, g = 2, and h = 7.
h – f
Answer:
11
Step-by-step explanation:
h - f = 7 - (-4) = 7 + 4 = 11
What is the ratio of the surface areas of two cones if the radius of one is 3 en and the slant height is 7 cm, and the other has a radius of 5 cm and a slan Height of 9 cm?
Given Information :-
⠀
A cone with dimensions :-
Radius = 3 cmSlant height ( l ) = 7 cm⠀
Another cone with dimensions :-
⠀
Radius = 5 cmSlant height = 9 cm⠀
To Find :-
⠀
The ratio of their total surface area⠀
Formula Used :-
⠀
[tex] \qquad \diamond \: \underline{ \boxed{ \red{ \sf T.S.A._{Cone}= \pi r(r+l) }}} \: \star[/tex]
⠀
Solution :-
⠀
For the first cone,
⠀
Since, we don't really have to find the exact values of the surface area, we will let pi remain as a sign itself, this will make the calculations easier.
⠀
[tex] \sf \longrightarrow T.S.A. = \pi \times 3(3 + 7) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 3 \times 10 \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =30 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \\ \\ [/tex]
Now, for the second cone,
⠀
[tex] \sf \longrightarrow T.S.A. = \pi \times 5(5 + 9) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 5 \times 14 \: \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =70 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Now, we just have to calculate the ratio of their surface areas, thus,
⠀
[tex] \sf \longrightarrow Ratio = \dfrac{Surface ~area~of~first~cone}{Surface ~area~of~second~cone} \\ \\ \\ \sf \longrightarrow Ratio = \frac{30 \pi \: {cm}^{2} }{70 \pi \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \qquad \qquad \qquad \\ \\ \\ \sf \longrightarrow Ratio = \frac{ 3 \cancel{0 \pi \: {cm}^{2}} }{ 7 \cancel{0 \pi \: {cm}^{2} } } \qquad \qquad \qquad \qquad \\ \\ \\\sf \longrightarrow Ratio = \frac{3}{7} = 3 : 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the ratio between the surface areas of the cones is 3 : 7.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
Jordan is making a scale model of the Hanging Gardens of Babylon, one of the seven wonders of the ancient world. The actual gardens were said to be 24.4 meters tall. Jordan uses a scale of 1 cm = 0.5 m.
To the nearest tenth of a centimeter, what should be the height of Jordan’s model?
A. 12.2 cm
B. 24.4 cm
C. 48.8 cm
D. 122.0 cm
Jordan's scale model would let him have a proportional measurement of the actual drawing
The height of Jordan's model is 48.8 cm
How to determine height of Jordan's model?The scale ratio is represented as:
Ratio = Model : Actual
So, we have:
1 cm : 0.5 m = Model : 24.4 m
Express as fractions
1 cm / 0.5 m = Model / 24.4 m
Multiply both sides by 24.4 m
Model = 24.4 m * 1 cm / 0.5 m
Evaluate the product
Model = 48.8 cm
Hence, the height of Jordan's model is 48.8 cm
Read more about scale models at:
https://brainly.com/question/19434385
Answer:
it is C. 48.8
Step-by-step explanation:
new/original
24.4 divided by 0.5
=48.8
or the longer way:
24.4 divided by 1/2
24.4 * 2/1=
48.8
Lesley has 180 y marbles in a bag. She gave 2/5 of the marbles to Danny. How many marbles does Lesley have left?
before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some help asap
Answer:
a) maximum; the parabola opens downward
b) positive; it must lie above the x-axis
c) x = 1.5
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.
The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When second differences are negative, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the curvature of the function is negatve, and that it opens downward.
__
a, b.If the graph of the parabola opens downward, and it crosses the x-axis, it must have a maximum that is a positive value of y.
__
c.The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:
x = (-2 +5)/2 = 3/2
The x-coordinate of the vertex is x = 1.5.
______
Additional comment
The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.
Four adults and three childern go to the teater for 74, whereas two adults and five childern are chraged 58. find the price of an adult's ticket and a child's ticket.
Answer:
the price of the adult's ticket is 14 and the price of the child's ticket is 6
Step-by-step explanation:
[tex]let \: x \: = adult \\ y = child \\ 4x + 3y = 74 - - - - 1\\ 2x + 5y = 58 - - - - - 2 \\ multiplying \: - - 2 \: by \: two \\ 4x + 10y = 116 - - - - 3 \\ eqn3 - eqn1 \\ 4x - 4x + 10y - 3y = 116 - 74 \\ 7y = 42 \\ y = \frac{42}{7} \\ y = 6 \\ putting \: the \: value \: of \: y \: into \: eqn2 \\ 2x + 5(6) = 58 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
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