A heron can travel an average of 400 km in 10h. What is the rate of change of distance?
Rate of change of distance is also known as speed.
Given,
Distance (s) = 400km = 400 × 1000m = 400,000m
Time (t) = 10h = 10 × 3600s = 36,000s
We know that,
Speed (v) = Distance/Time
[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]
A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
What is the meaning of the term “distance”?Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.
The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.
The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.
[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]
Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
Learn more about distance from here:
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A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center
Answer:
1. Mean, because there are no outliers that affect the center
Step-by-step explanation:
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4
The mean = ΣX / n
n = sample size, n = 15
Mean = 34 / 15 = 2.666
The median = 1/2(n+1)th term.
1/2(16)th term = 8th term.
The 8th term = 2
The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.
Both interquartile range and standard deviation are measures of spread and not measures of centre.
Find the solution to (-1)+5-(-6)-5=
Q) -1 + 5 - (-6) - 5 = ?
→ -1 + 5 + 6 - 5
→ {-1 + 5} + {6 - 5}
→ 4 + 1
→ 5 is the solution.
9)Using appropriate properties , find 7
5
×
5
12
−
3
12
×
7
5
−
1
15
Answer:
-20940
Step-by-step explanation:
5 x 512 - 312 x 75 - 115
According to BODMAS ,
2575 - 23400 - 115
= -2090
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]
Have fun all !!! This is my trash account. You all can have my points.
Answer:
Step-by-step explanation:
OK
Answer:
rshjgdlf
FGshjfgsfds
Step-by-step explanation:
GIMME'
calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%
Answer: $427140
Step-by-step explanation:
Firstly, we'll add MP to the profit and this will be:
= Rs 400000 + Rs 20000
= Rs 420000
Since there is a discount of 10%, this will then be:
= 420000 - (10% × 420000)
= 420000 - 42000
= $378000
With a VAT of 13%, then the final price will be:
= $378000 + (13% × $378000)
= $378000 + (0.13 × $378000)
= $378000 + $49140
= $427140
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form? O y=-3x-5 O y=-3x+5 O Y= 3x-5 O y = 3x + 5
Answer:
y= -3x+5
Step-by-step explanation:
firstly find the gradient given by the formula
m=y2-y1/x2-x1
so in this case y2 is -10,x2 is 5,y1 is -1 and x1 is 2
m= -10+1/5-2
m= -9/3
= -3
after finding the gradient use the equation
y-y1=m( x-x1)
y+1= -3(x-2)
y+1= -3x+6
y= -3x+6-1
y= -3x+5
I hope this helps
Translate this sentence into a multi-step equation Six more than the quotient of a number and 8 is equal to 2.
Answer:
6+n/8=2
Step-by-step explanation:
* More Than = (+) or in some cases (>)
* Quotient of a (#) = Any letter that represents a number, so in this case "n", because we do not know that number yet. We divide this with "8" because it says "and 8".
* Equal = <---
need help with this!!!
Answer:
I say the fourth one just because
7.2b + 6.5 > 4.8b – 8.1
Answer:
[tex]7.2b+6.5>4.8b-8.1[/tex]
Multiply both sides by 10
[tex]72b+65>48b-81[/tex]
Subtract both sides by 65
[tex]72b>48b-146[/tex]
Subtract both sides by 48b
[tex]24b>-146[/tex]
Divide both sides by 24
[tex]b>-\frac{73}{12}[/tex]
OAmalOHopeO
I need help to find W =
Answer:
120
Step-by-step explanation:
Since the figures are similar the angles are the same
<A = <F
<B = <E
<C = <C
<D = <G
We know <G = 120 so angle D = 120
W = <D = 120
Answer:
w = 120 degrees
Step-by-step explanation:
ABCD and FECG are the same shapes, which means they also have the same angles.
∠A = ∠F
∠B = ∠E
∠C = ∠C
∠D = ∠G
∠G = 120°, so D = 120°
So, w = 120°
2/3 (9-12n)
plz tell me fast its urgent
no spam or i will report
Answer:
6 -8n
Step-by-step explanation:
2/3 (9-12n)
Distribute
2/3 *9 - 2/3 *12n
6 -8n
The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
X
oc
Answer: 2
Submit Answer
Just need some help
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
45 - 45 - 90 Triangles
When one leg = x, the hypotenuse = x[tex]\sqrt{2}[/tex]
So, if the hypotenuse is 1, then divide by [tex]\sqrt{2}[/tex] to get the leg.
[tex]\frac{1}{\sqrt{2} }[/tex] rationalize denominator.
[tex]\frac{1}{\sqrt{2}}[/tex] × [tex]\frac{\sqrt{2}}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{\sqrt{4}}[/tex] = [tex]\frac{\sqrt{2}}{2}[/tex]
pls halp ////////////////
Answer:
9x^2 + 2x - 5
Step-by-step explanation:
7x^2 - 5x + 3
2x^2 + 7x - 8
__________
9x^2 + 2x - 5
Option B is the correct answer.
Here are the fuel efficiencies (in mpg) of 8 new cars.
16, 42, 13, 27, 54, 13, 23, 31
What is the percentage of these cars with a fuel efficiency less than 27 mpg?
Answer:
4/8= 2/4=1/2= 50%
Step-by-step explanation:
4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%
What is the quotient? t +3 t +4 f+7t+12) 0 (t + 3)2 (t+4)2 1 (t-4) 1 (t + 3)?
Answer:
1
-----
(t+4)^2
Step-by-step explanation:
(t+3)
------- ÷ (t^2+7t+12)
(t+4)
Copy dot flip
(t+3) 1
------- * --------------------
(t+4) (t^2+7t+12)
Factor
(t+3) 1
------- * --------------------
(t+4) (t+4)(t+3)
Cancel
1 1
------- * --------------------
(t+4) (t+4)
1
-----
(t+4)^2
Answer:
answer is b
Step-by-step explanation:
Please help me solve this problem guys
Answer:
17%
Step-by-step explanation:
Again, as the amount of years increase, the population of bees gets multiplied by 0.83. We can rewrite this to 83%, and then again rewrite this to 100%-17%. We can see now that the population of bees decreases by 17% each year.
∠
∠
H
and
∠
∠
G
are linear pairs. m
∠=40∘
∠
H
=
40
∘
. The measure of
∠
∠
G
is _________ degrees.
Answer:
G = 140
Step-by-step explanation:
Linear pairs add to 180
H+G = 180
40+G = 180
G = 180-40
G = 140
What type of angle is angle R?
A. obtuse
B. right
C. straight
D. acute
Answer:
A. Obtuse
Step-by-step explanation:
Angle R is greater than 90°.
Answer:
Obtuse
Step-by-step explanation:
We know this because the angle is larger than 90 degrees which is also known as an obtuse :)
please help me with this math question!
Answer:
350 - 170 - 120 = r
Step-by-step explanation:
Identify the variable:
r = number of red pens
The total amount of pens ordered is 350 when adding all three colors of pens. This means we must add all of the colored pens to find the total number of pens, 350.
Write this as an equation:
170 + 120 + r = 350
Rewrite the equation to find r:
350 - 170 - 120 = r
ram has got 3 children. what is the probability of his children being same sex
Answer:
1/9
Step-by-step explanation:
The triangle in Quadrant IV is the image of the triangle in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90
B.) 180
C.) 270
D.) 360
Answer:
A. 90 degrees
Step-by-step explanation:
Look this picture :]
the tub started with gallons of water
Answer:
huh?
Step-by-step explanation:
Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)
Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;
g(x) = 3·sin(x + π/2) - 4
Find the distance between the pair of points
(0,0)(6,8)
Distance formula
[tex]\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6 - 0) {}^{2} + {(8 - 0)}^{2} } \\ \\ \sf\longmapsto \sqrt{ {6}^{2} + {8}^{2} } \\ \\ \sf\longmapsto \sqrt{36 + 64 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]
Frank can type a report in 2 hours and James takes 7 hours. How long will it take the
two of them typing together?
Answer: x = 1 hour and 33 minutes
Step-by-step explanation:
Let x = time (hours) it takes typing together
then
x(1/2 + 1/7) = 1
multiplying both sides by 14:
x(7 + 2) = 14
x(9) = 14
x = 14/9
x = 1.56 hours
or
x = 1 hour and 33 minutes
Hope tjis help you!:)
Answer: 14/9 hr
Step-by-step explanation:
If you divide Frank's ability to write 1 report by 2 hours, he could write half a report in an hour. James could write one seventh of the report in a hour after dividing his ability to write 1 report in 7 hours. Find the least common denominator between 2 and 7, which is 14 convert 1/2 to that, which would be 7/14 and 2/14. Add That together and you'd get the amount of report they can write in an hour. If you multiply this by a number equalvilent to flipping 9/14, you'd get 1. This number is 14/9 hours.
Cedric and Insha solved the same equation using the calculations below.
Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.
Which statement is true about their work?
The first working out is correct, z = 3
Can someone please help me with this
Answer:
8.5 km
Step-by-step explanation:
The distance is given by sqrt(8^2+3^2)=sqrt(64+9)=sqrt(73)=8.5 km
Yeah uh I have no idea how to do this.....
Use exponent laws to simplify this :
9√(a^-5 b^2)
The answer is 9b / a^5/2 I just don't know how so please show steps! Thank you
Answer:
9b /a^5/2
Step-by-step explanation:
9√(a^-5 b^2)
9 sqrt( a^ -5 b^2)
Rewriting sqrt as ^1/2
9 ( a^ -5 b^2)^1/2
9 ( a^ -5) ^1/2 ( b^2)^1/2
we know that an exponent to an exponent means multiply
9 a^ (-5*1/2) b^(2*1/2)
9 a^-5/2 b^1
9b a^ -5/2
We know that x^-y = 1/x^y
9b /a^5/2
Answer:
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted
if you try to solve using [tex]\sqrt{x}[/tex] as as [tex]x^{\frac{1}{2} }[/tex]
then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] = [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]
[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]
Step-by-step explanation:
[tex]9 \sqrt{(a^-5 b^2)}[/tex]
[tex]x^{-1} = \frac{1}{x}[/tex]
[tex]a^{-5} = \frac{1}{a^{5} }[/tex]
[tex]\sqrt{b^{2} } = b[/tex]
[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]
Marla noticed that her friend Ron had three times as many pieces of candy as she did. She told him, "If you give me seven pieces of your candy, we'll have exactly the same number of pieces." Ron responded, "I didn't know that until you mentioned it. But I'll make you a deal: If you can show me how to solve this puzzle using algebra, I'll give you the seven pieces. "One minute later, Ron was shocked to see that Marla had solved it perfectly. Can you do the same?
Answer:
This question seems to be asking for the work, so I put it below.
Anyhow, Marla had 3.5 candies, and Ron had 10.5.
Step-by-step explanation:
x = 3x - 7 (lets set this as "a") { a = 3x - 7}
x + 7 = 3x -7 + 7
x + 7 = 3x
( x + 7 ) / 3 = 3/3x
( x + 7 ) / 3 = x = *(same as "a") {a}
( x + 7 ) / 3 = 3x - 7
( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3
x + 7 = 9x - 21
x - x + 7 = 9x - x - 21
7 = 8x - 21
7 + 21 = 8x - 21 + 21
28 = 8x
28 / 8 = 8/8x
3.5 = x
We can plug this back into the original equation and find that it is correct because:
x = 3x - 7
x = 3.5 =====
3.5 = 3( 3.5 ) - 7
3.5 = 10.5 - 7
3.5 = 3.5
Answer:
Marla has 7 and Ron has 21
Step-by-step explanation:
lets take
no. of candies Marla has as "x"
and no. of candies Ron has will be "3x"
Marla says if Ron gives her seven candies, they will have the same no. of candies
so your equation will be -
x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)
3x - x = 7 + 7
2x = 14
∴x = 7
and 3x = 3 x 7 = 21
YOUR WELCOME
