Answer:
The least amount of time both trains will arrive at the starting points at the same time is 36 seconds.
Step-by-step explanation:
From the question, Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds.
First, we will determine the times the trains will return to the their starting points.
For Train A,
The second time Train A will return to its starting point will be at 24 seconds,
The third time will be at 36 seconds
The fourth time will be at 48 seconds and so on.
For Train B,
The second time Train B will return to its starting point will be at 18 seconds,
The third time will be at 27 seconds
The forth time will be at 36 seconds and so on.
Since both trains arrive at their starting points at 36 seconds,
Hence, the least amount of time both trains will arrive at the starting points at the same time is 36 seconds.
Which expression is equivalent to 36 + 54?
A=4(8 + 14)
B=9(4 + 54)
C=12(3 +4)
D=18(2 +3)
I need anyone to plz answer this very soon
Answer:
29°
Step-by-step explanation:
[tex]In\: \triangle CDE\\\\
m\angle C + m\angle D + m\angle E = 180\degree \\\\
48\degree + 74\degree + m\angle E = 180\degree \\\\
122\degree + m\angle E = 180\degree \\\\
m\angle E = 180\degree- 122\degree \\\\
\huge \red {m\angle E = 58\degree} \\\\
\because \triangle ABC \cong \triangle DEC... (given) \\\\
\therefore \angle B \cong \angle E.. (CACT) \\\\
\therefore m\angle B = m\angle E\\\\
\therefore 2x = 58\degree \\\\
\therefore x =\frac{58\degree}{2}\\\\
\huge \orange {\boxed {\therefore x = 29\degree}}
[/tex]
MATHPHYS HELP
1. Felicia wants to know the gas milgage of her new car. She starts recording how much gasoline
she puts into the car, and how many miles she travels before the warning light comes on and
she need to add more gas. A table of her data is shown below.
Gas (gallons)
1 4 8 10
Miles
19 84 160 203 218
a. Consider miles M as a function of gallon and use data points to find a linear function
to model the data.
b. Consider gallons G as a function of miles M and use data points to find a linear function
to model the data.
C. How do the functions of (a) and (b) compare? Are they both useful models?
d. What could be some reasons why the points do not fit perfectly with your equation?
Step-by-step explanation:
(a) If M is a function of G (M is the y-axis and G is the x-axis), then the linear function is approximately:
M = 20G
(b) If G is a function of M (G is the y-axis and M is the x-axis), then the linear function is approximately:
G = M / 20
(c) The two functions are inverse of each other. The first function tells us how many miles she can drive with a certain number of gallons. The second function tells us how many gallons she needs to drive a certain number of miles.
(d) There are multiple things that affect fuel mileage. These include:
Speed - idling at a red light or driving at high speeds will lower your mileage.
Weather - high winds will lower your mileage.
Weight - adding weight (even the weight of the gas itself) will lower your mileage.
Tires - low pressure in the tires will lower your mileage.
The given table is an illustration of a linear scatter plot, where:
[tex]M = 19.9G -0.9[/tex].[tex]G = \frac{10}{199}M + \frac{9}{199}[/tex].M and G are both inverse functions(a) M as a function of G
From the table, we have the following points:
[tex](G_1,M_1) = (1,19)[/tex]
[tex](G_2,M_2) = (11,218)[/tex]
Calculate the slope (m)
[tex]m = \frac{M_2 - M_1}{G_2 - G_1}[/tex]
[tex]m = \frac{218-19}{11-1}[/tex]
[tex]m = \frac{199}{10}[/tex]
[tex]m = 19.9[/tex]
The equation is then calculated using the following linear equation formula:
[tex]M = m(G - G_1) + M_1[/tex]
[tex]M = 19.9(G - 1) + 19[/tex]
[tex]M = 19.9G - 19.9 + 19[/tex]
[tex]M = 19.9G -0.9[/tex]
(b) G as a function of M
From the table, we have the following points:
[tex](M_1,G_1) = (19,1)[/tex]
[tex](M_2,G_2) = (218,11)[/tex]
Calculate the slope (m)
[tex]m = \frac{G_2 - G_1}{M_2 - M_1}[/tex]
[tex]m = \frac{11-1}{218-19}[/tex]
[tex]m = \frac{10}{199}[/tex]
The equation is then calculated as follows:
[tex]G = m(M - M_1) + G_1[/tex]
[tex]G = \frac{1}{19.9}(M - 19) + 1[/tex]
[tex]G = \frac{1}{19.9}M - \frac{19}{19.9} + 1[/tex]
[tex]G = \frac{1}{19.9}M - \frac{19-19.9}{19.9}[/tex]
[tex]G = \frac{1}{19.9}M - \frac{-0.9}{19.9}[/tex]
[tex]G = \frac{1}{19.9}M + \frac{0.9}{19.9}[/tex]
[tex]G = \frac{10}{199}M + \frac{9}{199}[/tex]
(c) How (a) and (b) compares
Functions (a) and (b) are both inverse functions of one another;
Because they both represent inverse functions, both are useful models
(d) Reasons points do not fit in the equation
Some reasons why the points do not fit are:
Short tripsVehicle break downSpeedHeavy breaksWhen any of these happens, the mileage will be affected because she won't be able to capture the accurate data by the time she continues her trip.
Read more about linear scatter plots at:
https://brainly.com/question/2764328
the question is in the picture
Answer:
(x) = 1/2x-3/2
Step-by-step explanation:
The inverse is the opposite of the equation given in this case is 2x+3 and the inverse is when you switch the x and the y and you solve for y.
A truck can be rented from Company A for $80 a day plus $0.40 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
At____miles, the rental costs are the same from either company.
Answer:
200 milesStep-by-step explanation:
Let the required miles be x
Rental for Company A
80 + 0.4xRental for Company B
40 + 0.6xRental costs are equal when:
80 +0.4x = 40 + 0.6x0.6x - 0.4x = 80 - 400.2x = 40x = 40/0.2x = 200 milesin the problem above 2 1/3 is the. answers -> quotient divisor greatest common factor dividend multiple ?
Answer:
I am pretty sure it is 1 because you can divide when it is in inproper for
hint it is 7/3
Step-by-step explanation:
A 22.5 ounce candle burns at the rate of one ounce every 5 hours. write an equation for the amount of candle left
Answer:
y = 22.5 - 0.2t
Step-by-step explanation:
Given;
total number of candle, n = 22.5 ounce
Rate of candle burn, R = 1 ounce per 5 hours [tex]= \frac{1 \ ounce}{5 \ hours} = 0.2 \ \frac{ounce}{hour}[/tex]
The amount of candle left = total initial value - amount burnt
let the amount let = y
y = 22.5 - 0.2t
where;
t is the time in which the candle is burnt
Thus, the equation for the amount of candle left is given by;
y = 22.5 - 0.2t
What is 3.4 x 10^-6 in standard notation?
Answer:
The answer is 0.0000034
Step-by-step explanation:
What is the factor of 3x2-9x-12?
Answer: 3x² - 9x - 12 =
3(x² - 3x - 4) =
3(x² + x - 4x - 4) =
3(x(x+1)-4(x+1)) =
3(x+1)(x-4)
Step-by-step explanation:
Answer:
[tex]3 \times 2 - 9x - 12 \\ = 6 - 9x - 12 \\ = 6 - 12 - 9x \\ = - 6 - 9x \\ = - 3(2 + 3x)[/tex]
I hops this helps you ☺️☺️Thank you ☺️☺️
If the function f(x) = (2x - 3) is transformed to g(x) = (-2x - 3), which type of transformation occurred?
OA.
vertical shift
OB.
vertical reflection
O C.
horizontal reflection
OD.
horizontal shift
Select the construction that guarantees A' is a reflection of point A across line BC
Answer:
Construction B
Step-by-step explanation:
A' is the reflection of point A across line BC
Line BC is the mirror, the distance from point A to line BC and from BC to point A' is same and is the shortest distance.
This is achieved by constructing perpendicular line from the point A to BC and extending same line by same distance from BC.
Which equation can be used to solve the problem?
750 is 150 percent of what?
Answer:
it would be 750/500
Step-by-step explanation:
150% of 500 is 750
This should be easy but if I stay on this page to long it will long me out and lock the question :/
Answer:
-4+(-9)=-4-9 because we ignore the minus sign
Step-by-step explanation:
Hope it help you ^_^
line Y is parallel to line W. what is the measurement of
Answer:
the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.
Step-by-step explanation:
to find a parallel line to a given line, you must know how to write an equation of a line. You must also know how to put the equation of a line in slope-intercept form. Additionally, you must know how to identify the slope and the Y-intercept in the equation of a line. It is important to remember that parallel lines have equal slopes. Learn how to be able to find a parallel line.
Look at the equation of the line. Let’s say “3x + y = 8” is the equation of the given line. Put the equation of the given line in slope-intercept form: y = mx + b. Using “3x + y = 8” as the equation of the given line, put the equation in slope-intercept form by solving for "y" (subtracting -3x from both sides). You will get “y = -3x + 8.”
Identify the slope. The slope is the "m" in “y = mx + b.” Therefore, the slope in “y = -3x + 8 (slope-intercept form of the given line),” is -3. Identify the y-intercept. The y-intercept is the b in “y = mx + b.” Therefore, the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.
HOPE THIS HELPS HAVE A GREAT DAY!!
-3a+7=22 solve for a show work
Answer:
a = -5
Step-by-step explanation:
-3a + 7 = 22
Subtract 7 from both sides.
-3a = 15
Divide both sides by -3.
a = -5
Answer:
- 5
Step-by-step explanation:
Step 1:
- 3a + 7 = 22 Equation
Step 2:
- 3a = 15 Subtract 7 on both sides
Step 3:
a = 15 ÷ - 3 Divide
Answer:
a = - 5
Hope This Helps :)
i need help w this, thanks
13. If I || m, find the values of x and y.
(7x+12)
(12x-28)
(9y - 77)
Answer:
x=8 y=21
Step-by-step explanation:
7x+12=12x-28
x=8
plug in x
12x8-21=68
68+9y-77=180
y=21
The values of [x] and [y] will be 8 and 21 respectively.
What does the term " l || m " represents?This term indicates that the line 'l' is parallel to the line 'm'.
Given is the image and the measurement of angles.
It can be seen in the figure that, ∠(7x + 12) and ∠(12x - 28) from alternate interior angles as line 'l' and 'm' are parallel. These angles will be equal to each other. Therefore, we can write -
7x + 12 = 12x - 28
12x - 7x = 12 + 28
5x = 40
x = 8
Now, ∠(12x - 28) and ∠(9y - 77) form a straight angle. Therefore, we can write -
(12x - 28) + (9y - 77) = 180
(12 x 8 - 28) + (9y - 77) = 180
68 + 9y - 77 = 180
9y = 180 + 9
9y = 189
y = 21
Therefore, the values of [x] and [y] will be 8 and 21 respectively.
To solve more questions on angle measurements, visit the link below-
https://brainly.com/question/10893902
#SPJ2
[Image needed for complete question is attached with the answer]
If 7 gift bags cost $6.65 and the price of each bag is the same, how much does each bag
cost
Answer:
$0.95
Step-by-step explanation:
6.65 ÷ 7 = 0.95
0.95
The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<A, <C, <B
<B, <A, «C
<B, <C,<A
<A, <B, <C
Answer:
<B,<C,<A
Step-by-step explanations:
Logx-log(x-3)=1 Como se resuelve?
Answer:
Cant speak spanish
Step-by-step explanation:
Line g has an equation of y=-3/2x – 8. Line w, which is parallel to line g, includes the
point (4, -3). What is the equation of line w?
Answer:
y = -3/2x + 3
Step-by-step explanation:
If two lines are parallel to each other the slopes are the same.
So line w's slope would be the same as line g's -3/2
Now all we have to do is pug in the points to find the y-intercept.
-3 = -3/2(4) + b (b represents the y-intercepts)
-3 = -6 + b (add 6 on both sides)
3 = b
y = -3/2x + 3 is the equation for w.
Which of the following has the lowest unit price?
F. 20oz : $9.00
G. 16oz : $7.39
H. 12oz : $5.29
I. 5oz : $2.39
Multiply the following:
(−45)(26)
Answer:
-1170
Step-by-step explanation:
I hope this helps! :)))
Answer:
-45*26-1170
Step-by-step explanation:
Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Round decimal to three places. (5 points) θ=215° and r=4 Type equation here. Type equation here. (5 points) θ=-30° and r=1 Type equation here. Type equation here.
Answer:
(i) The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].
(ii) The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].
Step-by-step explanation:
In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:
[tex](x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]
Where:
[tex]r[/tex] - Norm of vector, dimensionless.
[tex]\theta[/tex] - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.
(i) ([tex]r = 4[/tex], [tex]\theta = 215^{\circ}[/tex])
[tex](x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})[/tex]
[tex](x, y) = (-3.277,-2.294)[/tex]
The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].
(ii) ([tex]r = 1[/tex], [tex]\theta = 30^{\circ}[/tex])
[tex](x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})[/tex]
[tex](x, y) = (0.866, 0.5)[/tex]
The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].
which of the following statements is false
Answer:
the second one is false
Answer:
Answer B is false.
Step-by-step explanation:
The left side "2" is less than the right side "8" , which means that the given statement is false.
13.8___13.80 < > = Complete the inequality statement with the symbol that makes it true
Answer:
=
Step-by-step explanation:
because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8
Answer:
13.8 = 13.80
Step-by-step explanation:
13.8 and 13.80 are the same values.
Hope it helped!
When converted to speeds, which list is in order from slowest to fastest?
1.) 17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
2.) 17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
3.) 17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
Answer:
2
Step-by-step explanation:
im not 100 percent but i believe it is 2
f (x) = cx + 3
In the function above, c is a constant. If f (1) = 1, what is the value of f (-4) ?
If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1
So the constant c is -2 and that means the value of f(-4) is
f(-4)=-2(-4)+3=8+3=11
Thus, the value of f(-4) is 11.
About why does "c" have to be -2, here's the proof.
Given y = f(x), therefore.
y=cx+3
Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3
1 - 3 = c and therefore, -2 = c #
So this is the proof that c = -2
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars?
HURRYY!!!!! Which algebraic expression means “three more than a number squared”? 2 n + 3 2 n minus 3 n squared + 3 n squared minus 3
Answer: (n+3)^2
Step-by-step explanation:
This is the answer lol
Answer:
C
Step-by-step explanation: