The train will take 16 seconds to pass completely through a 300 meter tunnel.
Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:
[tex]t = \frac{L+l}{v}[/tex] (1)
Where [tex]v[/tex] is the train velocity, in meters per second.
If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:
[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]
[tex]t = 16\,s[/tex]
The train will take 16 seconds to pass completely through a 300 meter tunnel.
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1. What translation is made from f(x) → -f(x)?
Answer: this is a reflection across the x-axis
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
Step-by-step explanation:
Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).
As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):
1) 512 => 2 partecipants
2) 256 => 4 partecipants
3) 128 => 8 partecipants
4) 64 => 16 partecipants
5) 32 => 32 partecipants
6) 16 => 64 partecipants
7) 8 => 128 partecipants
9) 4 => 256 partecipants
10) 2 => 512 partecipants
The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.
Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.
What is the correct classification of the system of equations below?
14x + 2y= 10
y+ 7x=-5
A.
parallel
B.
coincident
C.
intersecting
Answer:
parallel
B.
coincident
C.
intersecting
Answer:
I think it's parallel, because they have the same gradient. parallel lines always have the same gradient
Simplify this question
[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto 4+√-16[/tex]
[tex]\\ \sf\longmapsto 4+√16i[/tex]
[tex]\\ \sf\longmapsto 4+4i[/tex]
Take 4common[tex]\\ \sf\longmapsto 4(1+i)[/tex]
On a line, if XY=6, YZ=8 and XZ=2, which point is between the other two?
A. X
B. Y
C. Z
D. Cannot tell
Can someone please help me with this one? Tysm!!
Answer:
-26
Step-by-step explanation:
well add the negative numbers first so you get
-17-18=(-35)
then you add 9 so its (-35)+9=26
Answer:
Step-by-step explanation:
-17 + 9 +(-18) = -8 -18 = -26 final answer
Pls help plss
Right answer = Brainliest
Wrong answer = Reported
Answer:
Step-by-step explanation:
1. 15/50 = 3/10
2. 8/24 = 1/3
3. 14/49 = 2/7
4. 6/63 = 2/21
5. 18/81 = 2/9
Solve the following quadratic equation for all values of x in simplest form.
2(5x + 9)2 + 10 = 28
Step-by-step explanation:
x = 2/5 or x = 0 Hope that will help
A certain stock sold for $24.89 per share on Thursday. On Friday it sold for $21.36. Find the decrease in the price of the stock from Thursday to Friday.
PLEASE HELP ME!!!!!!!!
Answer:
answer ????
Step-by-step explanation:
what's 1+1 ???
enjoy!
If all three angles of a triangle are congruent, what is each angle measure?
Answer:
60°
Step-by-step explanation:
180° in a triangle.
180° ÷ 3 = 60°
The measure of each of the given angles of a triangle is 60°.
What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.Given is that all three angles of a triangle are congruent.
Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -
∠A = ∠B = ∠C = X°
and also we can write -
X° + X° + X° = 180°
3X° = 180°
X° = 60°
Therefore, the measure of each of the given angles of a triangle is 60°.
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The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.
Answer 48
Step-by-step explanation:
The two-digit number that satisfies the given condition will be 48.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.
Suppose the two-digit number is xy.
Sum x + y = 12
By multiplying by 3,
3(10x + y) = 144
10x + y = 48
Put y = 12 - x
10x + 12 - x = 48
9x = 36
x = 4
And, y = 12 - 4 = 8 so the number will be 48.
Hence "The two-digit number that satisfies the given condition will be 48".
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Which of the following gives and example of an equation that is non-linear?
A y=2x+1
B y=15/x
C y=10x
D y=x/5
The answer is A. y=2x+1
A is the only equation in which the numbers are not naturally written,but there is another numbering being either taken or added to the situation (+1). B and D both are divided which is linear, and C is multiplying which is also linear. This only leaves us with A.
Hope this helps. & don't forget to drink water <3
I'm really bad at mathematics. It would be nice if anyone could help me out :) thanks
What is the HCF of 62 and 24 ?
Answer: As you can see when you list out the factors of each number, 2 is the greatest number that 24 and 62 divides into.
Step-by-step explanation:
Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related?
(See attatchment)
ANSWER OPTIONS:
A- The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' intersect at point F.
B- The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line.
C- The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.
D- The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related.
Answer:
The locations of E' and F' are E'(-2,0) and F'(0,1), and lines g and g' are parallel.
Step-by-step explanation:
I got it right on my test! :)
The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
As we know,
The dilation is transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
From the graph:
The coordinate for E and F are:
E = (-4, 0)
F = (0, 2)
The scale factor = 1/2
E' = (-4/2, 0) = (-2, 0)
F' = (0, 2/2) = (0, 1)
Thus, the locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are a parallel option (C) correct.
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Given the function f(x) = √x. If the function is shifted right 2 units, then shifted down 1.5 units and reflected about the x-axis, what is the equation of the new function?
Answer:
f(x) = -√(x-2) + 1.5.
Step-by-step explanation:
y = √x
2 units to right:
y = √(x-2)
1.5 down:
y = √(x-2) - 1.5
Reflect about x-axis
y = -(√(x-2) - 1.5)
y = -√(x-2) + 1.5.
Evaluate 46.32 You may complete your work offline to show your thinking.
Answer:
you want me to round it I will edit it and show you
Step-by-step explanation:
someone.. please help me asap...............................................
Answer :
4x + 9y = 27
Explanation :
Multiply the equation with 9
9( y = -4x/9 + 3 )
9y = -4x + 27
4x + 9y = 27
Please helppp!!
I have to find the slope of the blue line that is in the graph!!
18)
If the circumference of a circle is changed from 9am to 3 cm, how will the diameter change?
What is the answer?
Francesca is painting a picture of the purple flowers in her garden. She mixes paint to make the perfect color for each type of flower. For the daisies, she mixes 2 ounces of white paint and 5 ounces of purple paint. For the tulips, she mixes 3 ounces of white paint and 6 ounces of purple paint. Which flower is a darker shade of purple?
Find total ounces mixed for each flower:
Daisies = 2+5 = 7 ounces
Tulips = 3 +6 = 9 ounces
Now find the ratio of purple to white for each one:
Daisies = 5/7 = 0.714
Tulips = 6/9 = 0.666
Daisies have more purple so would be the darker ones.
Answer:
Daisies
Step-by-step explanation:
IXL told me it was right
What the time in your region ?
Answer:
Step-by-step explanation:
2:33pm
Answer:
11:35 pm here in Dubai.....Hehe.......Isaiah is ordering a sub sandwich for lunch. He can have turkey, ham, chicken, roast beef, or tuna. His bun choices are wheat, honey oat, and white. How many different sub combinations can Isaiah order?
Answer:
45 different sandwiches
Step-by-step explanation:
Luke is going to reflect point R(6, 10) over the y-axis what are the coordinates for R
Answer:
R - (-6,10)
Flip the x-value when reflecting over y axis, and flip y-value when reflecting over x-axis
Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?
Answer:
aq lang to Yung d na binalikan Yung iniwan na parang basura
How long does it take him to make $375.25
- The price of an item increases from $90 to $100. Find the increase per cent.
Answer:
The increase as a percentage was 11.1%.
Step-by-step explanation:
The increase is $10. The ratio of this increase to the original $90 is
$10
------- = 1/9
$90
Multiplying this by 100%, we get 11.1%.
The increase as a percentage was 11.1%.
1085/7 show your work
Answer:
155
Step-by-step explanation: