A train travels 16.8 km in 25 mins. find the speed of the train in
(i)km/h (ii) m/s.
i. Distance = 16.8 km
Time = 25 mins = 5/12hours
Speed = distance/time
= 16.8÷(5/12)
= 16.8 × 12/5
= 40.32 km/h
ii. In m/s = 40.32/3.6
= 11.2 m/s
The speed of the train is 11.2 m/s.
The speed of the train is 40.32 km/h.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Distance.
= 16.8 km
= 16.8 x 1000
= 16800 m
Time.
= 25 minutes
= 25 x 60 seconds
= 1500 seconds
Speed.
= Distance / Time
= 16800 / 1500
= 16800 / 1500
= 11.2 m per second
Speed.
Distance = 16.8 km
Time = 25/60 hours
Speed = (16.8 x 60) / 25 = 40.32 km per hour.
Thus,
The speed is 40.32 km per hour.
The speed is 11.2 meters per second.
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Write the fraction 4/6 as a decimal. Round to the nearest hundredth
The value of solution after divide in form of decimal is,
⇒ 0.67
We have to given that,
To write the fraction 4/6 as a decimal.
We can simplify the fraction and then divide,
⇒ 4 /6
⇒ 2 / 3
⇒ 0.67
Rounded to nearest hundredth.
Therefore, The value of solution after divide in form of decimal is,
⇒ 0.67
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ASAP
3(– 2а - 4) + За
Answer:
3a -12
Step-by-step explanation:
3(– 2а - 4) + За → -6a - 12 + 3a → -3a -12
The following are the ages (years) of 5 people in a room: 22, 13, 17, 15, 17 A person enters the room. The mean age of the 6 people is now 17. What is the age of the person who entered the room?
Answer:
the 6th man's age is 58!
Step-by-step explanation:
First you have to find the mean of 22, 13, 17, 16, and 17, by first adding 22, 13, 17, 16, and 17 to get 85. Because mean is the numbers added up divided by the total amount of numbers, there are 5 numbers and then you have to divided 85 by 5.
After you get the mean of these numbers, find the other number which will level the mean to 17.
yes this was a lame explanation sorry i'm only in 7th grade and this is all new to me
Sharon paid $78 sales tax on a new camera. If the sales tax is 6.5%, what was the cost of the camera?
Answer:
$1200
Step-by-step explanation:
$1200
Step-by-step explanation:
78 = 6.5%
This means that if you divide 78 by 6.5, you get the equivalent of 1% of the price:
78 ÷ 6.5 = 12
So 1% = 12
Now simply multiply this by 100 to get the full answer:
12 x 100 = 1200
So the camera cost $1200!
Answer:
$1,200
Step-by-step explanation:
78 divided by 6.5=12
With percents you have to multiply to get out of 100 so:
12x100=1,200
78 divided by 6.5%=1,200
-SunflowerJada
the ruiz family is exchanging euros for us dollars the exchange rate is 1 euro 1.35261
Answer:so what is the question
Step-by-step explanation:
I will mark BRAINLIEST!
6x+9x-6=0
Solve by removing the GCF using the Bottoms Up method.
Please show all work
Answer:
x = 2/5
Step-by-step explanation:
3 (2x + 3x - 2) = 0
2x + 3x - 2 = 0
5x - 2 = 0
5x = 2
x = 2/5
What is the solution to this system of linear equations?
2x + 3y = 3
7x - 3y = 24
O (2,7)
(3,-21)
(3,-1)
O (9,0)
Answer:
(3,-1)
Hope this helps! :)
Answer:
C
Step-by-step explanation:
just got it right on edge
(3^8x 2^-5x 9^0)^-2x (2^-2/3^3)^4x 3^28 PLS HELP
Answer:
(3^8x 2^-5x 9^0)^-2x (2^-2/3^3)^4x 3^28 =4
i hope this is correct
Step-by-step explanation:
How do you do this question?
Step-by-step explanation:
f(x) = sin(x), a = π/6, n = 4
Find the derivatives.
f⁽⁰⁾(π/6) = sin(π/6) = ½
f⁽¹⁾(π/6) = cos(π/6) = ½√3
f⁽²⁾(π/6) = -sin(π/6) = -½
f⁽³⁾(π/6) = -cos(π/6) = -½√3
f⁽⁴⁾(π/6) = sin(π/6) = ½
T₄(x) = ½ (x − π/6)⁰ / 0! + ½√3 (x − π/6)¹ / 1! − ½ (x − π/6)² / 2! − ½√3 (x − π/6)³ / 3! + ½ (x − π/6)⁴ / 4!
T₄(x) = ½ + ½√3 (x − π/6) − ¼ (x − π/6)² − ¹/₁₂√3 (x − π/6)³ + ¹/₄₈ (x − π/6)⁴
Find the fifth derivative.
f⁽⁵⁾(x) = cos(x)
So the next term of the series would be:
cos(z) (x − π/6)⁵ / 5!
For 0 ≤ z ≤ π/3,│f⁽⁵⁾(x)│is a maximum at z = 0. Therefore:
│R₄(x)│≤ │cos(0) (0 − π/6)⁵ / 5!│
│R₄(x)│≤ 0.000328
│R₄(x)│is always positive, so we can ignore the bottom two graphs. The top right graph has a y-intercept of approximately 0.0003, so that is the correct graph.
A random sample of a specific brand of snack bar is tested for calorie count, with the following results:
149 145 140 160 149 153 131 134 153
Assume the population standard deviation is ı = 24 and that the population is approximately normal. Construct a 95% confidence interval for the calorie count of the snack bars.
Answer:
iddiduududjdhdhdjdhdjr
Find the instantaneous rate of change of the function f(x)=3x^2 as x approaches 3.
Answer:
The instantaneous rate of change as x approaches 3 is 18.
Step-by-step explanation:
From Differential Calculus and Geometry we remember that instantaneous rate of change of the function is represented by a tangent line, whose slope is determined by the first derivative of the curve. Let [tex]f(x) = 3\cdot x^{2}[/tex], the instantaneous rate of change of the function when x approaches 3 is deducted from the definition of derivative:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x^{2}+2\cdot x\cdot h +h^{2})-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot x^{2}+6\cdot x\cdot h+3\cdot h^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{6\cdot x\cdot h +3\cdot h^{2}}{h}[/tex]
[tex]f'(x) = \lim _{h\to 0} (6\cdot x+3\cdot h)[/tex]
[tex]f'(x) = 6\cdot x \cdot \lim_{h\to 0} 1 + 3\cdot \lim_{h\to 0} h[/tex]
[tex]f'(x) = 6\cdot x[/tex] (2)
If we know that [tex]x = 3[/tex], then the instantaneous rate of change as x approaches 3 is:
[tex]f'(3) = 6\cdot (3)[/tex]
[tex]f'(3) = 18[/tex]
The instantaneous rate of change as x approaches 3 is 18.
Jason is buying a car, and he wants to pay for it in 48 monthly installments. If the total cost of the car is $9,300, how much would Jason have to pay each month?
$500 per month
$195 per month
$193.75 per month
$193.50 per month
a bag of mixed nuts contains almonds and hazelnuts there are (6x + 13) nuts in particular bag
Answer:
99=00-41+69=6969
Step-by-step explanation:
The first step to solve the equation x/4-3/4=16 is shown below
Answer:
i think it is A because that seems like the one making the most sense
Step-by-step explanation:
FIRST TO HELP IS BRAINLIEST
Answer:
(0,2)
Step-by-step explanation:
What is the product of (–22.1)(–5.6)?
–123.76
–27.7
27.7
123.76
Answer:
d) 123.76
Step-by-step explanation:
hope this helps :)
Solve the equation: -68 = 5y - 3
Answer:
-13
Step-by-step explanation:
-68 = 5y-3 First you move the -3 by adding 3 to both sides to get -65 =5y
Then you divide 5 by both sides to get y=-13
Answer:
y = -13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-68 = 5y - 3
Step 2: Solve for y
Add 3 to both sides: -65 = 5yDivide both sides by 5: -13 = yRewrite: y = -13Step 3: Check
Plug in y to verify it's a solution.
Substitute: -68 = 5(-13) - 3Multiply: -68 = -65 - 3Subtract: -68 = -68And we have our final answer!
In the diagram below, DE is parallel to XY. What is the value of y?
Answer:
Option A . 122°
.............
Explanation:
Alternate exterior angles are congruent when we have parallel lines like this.
You can use their vertical angle counterparts to then use the alternate interior angles if you want.
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
Answer:
1999
Step-by-step explanation:
6. Grandma's favorite muffin recipe uses 1 cups of
flour for one batch of 12 muffins. Solve each of the
following problems and determine whether it is
a “how many groups?" or a “how many in one group?"
type of division problem. Give an exact answer to
each problem using a common fraction or
a mixed number.
(a) How many cups of flour are in 1 muffin?
(b) How many muffins does 1 cup of flour make?
(Assume that you can make partial muffins).
(C) If you have 4 cups of flour, then how many
batches of muffins can you make? (Assume
that you can make partial batches).
Answer:
im to hungry now to answer
Step-by-step explanation:
Find the GCF for the following list.
108. 100
Answer:
Step-by-step explanation:
2
Answer:
4
Step-by-step explanation:
108 divided by 4 = 27
100 divided by 4 = 25
Good luck!
Which function is a quadratic function?
f(x) = 2x2
g(x) = 5x3
k(x) = –x
b(x) = –9x4
Answer:
The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
So the answer is f(x) = 2x2
Thank you and please rate me as brainliest as it will help me
The function f(x) = 2x² is the quadratic function while the other functions are not the quadratic function. The first option is the correct one.
A quadratic function is a polynomial with degree 4.
f(x) = 2x² is a quadratic function as the degree of the function is 2.
g(x) = 5x³ is a cubic function as the degree of the function is 3.
k(x) = -x is a linear function as the degree of the function is 1.
[tex]b(x) = -9x^4[/tex] is a quartic function as the degree of the function is 4.
So, among all options, f(x) = 2x² is the quadratic function. The correct option is the first one.
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Paulina ran 6.2 miles last week and 10.95 miles this week.
How many miles did she run in all?
Answer: 17.15
Step-by-step explanation:
6.2+10.95=17.15
Answer:
gghhhhfhfuubf
Step-by-step explanation:
I help to solve this problem by adding integers -2+(-4)
Answer:
-6
Step-by-step explanation:
-2 + (-4)
-2 - 4
-6
Answer:
-6 is the answer
Step-by-step explanation:
Which of these quadrilaterals have opposite sides that are parallel? Name these quadrilateral
Answer:
square,rectangle,rhombus,paralellagram
Step-by-step explanation:
Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.
Answer: 1. the students 2. the final exams 3. is- domain- one- range brainliest plzz??
A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.
9514 1404 393
Answer:
(1/120 mile/min)(60 min/h)(3 h)
1.5 mile
the increase in depth after 3 hours
Step-by-step explanation:
The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...
(1/120 mile/min)(60 min/h)(3 h)
The value of this product is ...
(1·60·3)/(120·1·1) mile = 1.5 mile
The value represents the increase in depth after 3 hours.
find the values of x and y
Answer:
x = 90
y = 43
Step-by-step explanation:
[tex] In\: \triangle ABC\\
AB = AC.... (given)
\therefore m\angle ABC = m\angle ACB\\[/tex] (Property of isosceles triangle)
[tex] \because m\angle ACB = 47\degree \\
\therefore m\angle ABC = 47\degree \\
2y\degree + 47\degree+47\degree = 180\degree \\
2y\degree + 94\degree= 180\degree \\
2y\degree = 180\degree - 94\degree \\
2y\degree = 86\degree \\\\
y = \frac{86\degree}{2} \\\\
y\degree = 43\degree \\\\
\huge \purple {\boxed {y = 43}} \\\\[/tex]
x° + y° + 47°=180°
x° + 43° + 47°=180°
x ° + 90° = 180°
x ° = 180° - 90°
x° = 90°
x = 90
Solve.
2(z - 10) = -4
Answer:
z=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(z−10)=−4
(2)(z)+(2)(−10)=−4(Distribute)
2z+−20=−4
2z−20=−4
Step 2: Add 20 to both sides.
2z−20+20=−4+20
2z=16
Step 3: Divide both sides by 2.
2z2=162
z=8