Answer:
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Step-by-step explanation:
For Ash's Train;
Distance travelled d1 = 80km
Time taken t1 = 50 minutes = 5/6 hour
Average speed = distance travelled/time taken
v1 = d1/t1
Substituting the values;
v1 = 80/(5/6)
v1 = 96km/h
For Misty's train;
Total distance travelled d2 = 160 km
Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes
t2 = 2.5 hours
v2 = d2/t2 = 160/2.5
v2 = 64 km/h
the difference, in km/h, between the average speed of their trains is;
∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Answer:
32km/h
Step-by-step explanation:
Brainliest needed ..... do this graph show a function? Explain how you know.
Answer:
A
Step-by-step explanation:
In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.
Answer:
No, it fails the vertical line test
Step-by-step explanation:
This is not a function. It does not have a one to one correspondence. There are x values that have more than one y value. It fails the vertical line test
Given the mean and most of the set data, please find the missing value of x in each set.
a) {3,5,6,8,9,2,1,0,5,x}; mean = 4
b) {6,7,2,9,4,x); mean = 5
Answer:
a. 1
b. 2.
Step-by-step explanation:
a) There are a total of 10 numbers so we have:
4 * 10 = 3+5+6+8+9+2+1+0+5+x
40 = 39 + x
x = 1.
b) 5*6 = 28 + x
x = 2.
One lap around the lake is 7/10 mile Dasha runs 9 laps around the lake
Answer:
6.3
Step-by-step explanation: Divide 7 by 10 and get .7 then you would multiply that by 9 and youll get 6.3
A. One player places 1 red, 5 green and 3 blue tiles in Bag A, and 6 red, 4 green, and 2 blue in Bag B. What is the probability that the second player draws 2 tiles of the same color?
Answer:
[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.
Step-by-step explanation:
In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:
Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.
Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].
Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]
Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].
Solve 2x-3=20 please
Answer:
x = 11.5
Step-by-step explanation:
Given
2x - 3 = 20 ( add 3 to both sides )
2x = 23 ( divide both sides by 2 )
x = [tex]\frac{23}{2}[/tex] = 11.5
A 2 - gallon bottle of bleach costs $ 7.68 . What is the price per cup ? $
Answer:
$0.24
Step-by-step explanation:
7.68/32=0.24
There are 32 cups per 2 gallons. The total cost for 2 gallons is 7.68
I, myself self am not too good at Sin, Con, and Tan so I could use some help on double-checking if this is correct??
Answer:
[tex] \tan(a) = \frac{28}{45} [/tex]
look from the tan A angle , the opposite is 28 and adjacent is 45
Can someone help wit that asap
Answer:
A
Step-by-step explanation:
The important thing here is that for the quadratic formula to be able to be applied you need the equation to be equal to 0. Then in this case we know that once it is equal to 0 the coefficients have to be: a = 1, b = 3, c = 24
Only A satisfies both conditions
Reflect triangle a in the x axis to give triangle b. Then rotate your triangle b 90 degrees clockwise around the origin to give triangle c. Describe fully the single transformation that maps triangle a onto c
Answer:
The single transformation that maps a onto c is the reflection of the triangle a about the line y = -x
Step-by-step explanation:
To answer the question, we note that the result of reflection of a point (x, y) across the x axis is given as follows;
Coordinates before reflection = (x, y), Coordinates after reflection = (x, -y)
Also, when we rotate a point, (x, y), 90° clockwise, we have;
Image point before 90° clockwise rotation = (x, y), Image point after 90° clockwise rotation = (y, -x)
Therefore, the rotation of the point (x, -y), 90° clockwise will give
Image point before 90° clockwise rotation = (x, -y), Image point after 90° clockwise rotation = (-y, -x)
Which gives the combined transformation as (x, y) → (-y, -x) which is the rule equivalent to reflection about the line y = -x.
Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14
Answer:
[tex]7/12[/tex]
Step-by-step explanation:
[tex]3/8=0.375[/tex]
[tex]5/10=0.5[/tex]
[tex]7/12 \approx 0.58333333333[/tex]
[tex]6/14 \approx 0.42857142857[/tex]
Therefore, 7/12 is the closest to 1 than 0.
Which of the following decimals is equivalent to the common fraction four-fifth? a. 0.80 b. 0.75 c. 0.65 d. 0.45 Other:
Answer:
The answer is option a
0.8
4/5 = 0.8
Hope this helps.
whats the answer? thanks :)
Answer:
A
Step-by-step explanation:
I had the same question for another person.
Multiply 8/11 by the reciprocal of -16/121
Answer: -11/2
Step-by-step explanation:
First, find the reciprocal of -16/121. Which is -121/16 (you can put the negative sign anywhere). Now, you must multiply the two fractions:
[tex]\frac{8}{11} *-\frac{121}{16}[/tex]
You can cross out the terms 8 and 16 because they can be simplified into 1 and 2. And you can cross out 11 and -121 because they can be simplified into 1 and -11:
= [tex]\frac{1}{1} * -\frac{11}{2}[/tex]
Now multiply the numerators together, and multiply the denominators:
= [tex]-\frac{11}{2}[/tex]
The top of a 7 ft. ladder rests against the side of a wall. The foot of the ladder is 2.2 feet from the base of the wall. Assuming that the ground is level, what is the angle between the bottom of the ladder and the ground?
Answer:
71.7
Step-by-step explanation:
If you draw out a picture and visualize it, you will be able to see that you need to use inverse cosine to solve this. Plug in cos^-1 (2.2/7) and you will get 71.7 as your answer.
Answer:
71.7 degrees
Step-by-step explanation:
Here is a map of a town. It has a scale of 1 : 200,000. A centimetre ruler is shown on the map. What is the real-life distance between the park and the theatre? Give your answer in km.
Answer:
6km
Step-by-step explanation:
==>Given:
Map scale = 1 : 200,000
Distance on map between the park and the theatre = 3cm
==>Required:
Real life distance between the town and the theatre in km
==>Solution:
Note: the map scale given means 1cm on the map represents 200,000 cm in real life.
For a map distance of 3 cm between the town and the theatre, the real life distance would be:
3 × 200,000 = 600,000 cm
=>Convert to km
Thus, 100,000cm = 1km
Therefore, 600,000cm = 6km
Real life distance between the town and the theatre = 6km
what’s the answerrrrr?
Answer:
B
Step-by-step explanation:
In B, the oranges is always 3 times the cups of juice. So it always follows the ratio 3:1.
A man has 166 feet of fencing to build the pen shown in the illustration. If one end is a square, find the outside dimensions, if a = 6. What will be the shorter side: longer side : ??
Answer:
The shorter side: longer side is 385:512
Step-by-step explanation:
We are given that A man has 166 feet of fencing to build the pen
We are supposed to find If one end is a square, find the outside dimensions, if a = 6.
Side of square = x
Perimeter of square =[tex]4 \times side = 4x[/tex]
a=6
Length of rectangular part = x+a = x+6
Breadth of rectangular part = x
Perimeter of rectangular part = 2(l+b)=2(x+6+x)=2(2x+6)
So, ATQ
4x+2(2x+6)=166
4x+4x+12=166
8x=154
x=19.25
Shorter side = 19.25
Longer side = x+6=19.25+6=25.6
So, the shorter side: longer side =[tex]\frac{19.25}{25.6}=\frac{385}{512}=385:512[/tex]
Hence the shorter side: longer side is 385:512
Expand and simplify . 2xy(5y-3x)-6xy(4y-2x) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
Answer:
-14xy^2+6x^2y
Step-by-step explanation:
Hope this helps at least
Answer:-14xy^(2)+6x^(2)y
Please help, (AP is arithemtic progression)
Answer:
p = 8
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 4 + 5p and d = 5, then
a₁ + 8d = 4 + 5p, that is
a₁ + 8(5) = 4 + 5p
a₁ + 40 = 4 + 5p ( subtract 40 from both sides )
a₁ = 5p - 36
a₂ = 5p - 36 + 5 = 5p - 31
a₃ = 5p - 31 + 5 = 5p - 26
a₄ = 5p - 26 + 5 = 5p - 21
Given that the sum of the first 4 terms = 7p - 10, then
5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is
20p - 114 = 7p - 10 ( subtract 7p from both sides )
13p - 114 = - 10 ( add 114 to both sides )
13p = 104 ( divide both sides by 13 )
p = 8
PLEASE HELP what are the co ordinates of the 4th corner
Answer:
(0, -2).
Step-by-step explanation:
CD will be parallel to AB because we have a parallelogram.
Counting squares from A to B it is 'one down and 5 to the right'.
Therefore point D will be 'one up and 5 to the left' from point C.
This makes D equal to (0, -2).
Any one help thx I'm just stuck on this
Answer:
A) 9 => 6 => 3 => 0 => -3 => -6
B) Using Formula
[tex]a_{n}= a_{1} + d(n-1)[/tex]
=> [tex]a_{n } = 9+3(n-1)[/tex]
=> [tex]a_{n}= 9+3n-3\\a_{n} = 3n+6[/tex]
Answer: [tex]a_{n }= 3n+6[/tex]
Una torta fue dividida en partes iguales. Si comes algunas porciones. Podria saber ¿qué parte de la torta comiste?
Answer:
Ok, supongamos que dividimos la torta en X partes iguales (X puede ser cualquier numero natural).
Entonces vamos a tener X porciones.
Si comemos n porciones (tal que n puede ser un numero entre 0 y X, si n = 0 significa que comimos 0 porciones, si n = X significa que comimos todas las porciones).
Ahora, X porciones es el 100% de la torta, entonces el porcentaje de la torta que comimos es:
P = (n/X)*100%.
si n = 0, comimos un 0% de la torta
si n = X, comimos un 100% de la torta.
If f(x)=3x+10x and g(x)= 2x-4, find (f+g)(x)
Answer:
=3^x +12x -4
Step-by-step explanation:
f(x)=3^x+10x
g(x)= 2x-4,
(f+g)(x) = 3^x+10x+ 2x-4,
Combine like terms
=3^x +12x -4
Can somebody answer this ?? :)
Answer:
Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.
How does the graph of f(x)=(x+2)^4+6 compare to the parent function g(x)=x^4
Answer:
Horizontally moved left by 2 units
Vertically moved up by 6 units
Step-by-step explanation:
Parent Function Transformations: [tex]f(x) = a(x - c)^4 + k[/tex]
a is denoted as vertical shrink or stretch
c is denoted as horizontal movement
k is denoted as vertical movement
Ava Made 100 cranes and B made 3/4 of the number of the paper cranes to Ava. Ava gave 9/20 of her cranes to B. Then, B gave 1/4 of her paper to Ava. How many more cranes did B have than Ava in the end?
Answer:
B have 5 more cranes than Ava.
Step-by-step explanation:
As per question statement:
Number of cranes with Ava = 100
Number of cranes with B = [tex]\frac{3}{4}[/tex] of the paper cranes that Ava has
[tex]\therefore[/tex] Number of cranes with B = [tex]\frac{3}{4}\times 100 =75[/tex]
Now, let us proceed step by step.
Step 1: Ava gave [tex]\frac{9}{20}[/tex] of her cranes to B:
i.e. [tex]\frac{9}{20} \times 100 = 5 \times 9 =45[/tex] cranes given to B
Now, number of cranes with Ava = 100 - 45 = 55
Number of cranes with B = 75 + 45 = 120
Step 2: B gave [tex]\frac{1}{4}[/tex] of her paper cranes to Ava:
i.e. [tex]\frac{1}{4} \times 120 = 30[/tex] cranes given to B
Now, number of cranes with Ava = 55 + 30 = 85
Number of cranes left with B = 120 - 30 = 90
So, the answer is:
Number of cranes that B have more than that of Ava = 90 - 85 = 5
3.6.7
If x varies directly as y, and x = 48 when y = 6, find x when y = 7.
Answer:
y= 4 is correct
Step-by-step explanation:
Question 7 of 10
10 Points
Write the equation of the line that is parallel to the line 7 - 4x = 7y through the point (2,0).
Answer:
7y = -4x + 8
Step-by-step explanation:
slope = -4/7
0 = -4/7(2) + b
b = 8/7
y = -4/7x + 8/7 or 7y = -4x + 8
determine the zeroes of the polynomial
[tex] (\sqrt{ {x }^{2} - 4x + 3} ) + ( \sqrt{ {x}^{2} - 9} ) - ( \sqrt{4 {x }^{2} - 14x + 6 } )[/tex]
Answer:
3,7/6
Step-by-step explanation:
[tex](\sqrt{x^2-4x+3} )+(\sqrt{x^{2} -9} )-(\sqrt{4x^2-14x+6} )\\=(\sqrt{x^2-x-3x+3} )+(\sqrt{(x^2-3^2})-(\sqrt{4x^2-2x-12x+6})\\ =(\sqrt{x(x-1)-3(x-1)} )+\sqrt{(x+3)(x-3)}-\sqrt{2x(2x-1)-6(2x-1)} \\=\sqrt{(x-1)(x-3)}+\sqrt{(x+3)(x-3)} -\sqrt{2(2x-1)(x-3)} \\=\sqrt{x-3} (\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} )\\[/tex]
[tex]\sqrt{x-3} =0~gives~x=3\\or~\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} =0\\or~ \sqrt{x-1} +\sqrt{x+3} =\sqrt{2(2x-1)} \\squaring\\x-1+x+3+2\sqrt{x-1} \sqrt{x+3} =2(2x-1)\\2x+2+2\sqrt{(x-1)(x+3)} =4x-2\\2\sqrt{x^2-x+3x-3} =2x-4\\\sqrt{x^2+2x-3} =x-2\\again ~squaring\\x^2+2x-3=x^2-4x+4\\\\2x+4x=4+3\\6x=7\\x=\frac{7}{6}[/tex]
Which is the graph of y = 3^ cube root x+1-2
Answer:
Plot[-1 + 3^Surd[x, 3], {x, -20, 28}]
