Answer:
Step-by-step explanation:
The data of timing for each lap will form a arthmetic progression ( AP ) with first term as 25 s and common difference of 1.6 s .
a )
first term a = 25
common difference d = 1.6 .
10 th term of the series can be given by following formula
a₁₀ = 25 + ( 10-1 ) x 1.6
= 25 + 1.6 x 9
= 39.4 s
b )
Let n th be the last lap
a(n) = a + ( n-1 ) x d
55.4 = 25 + ( n- 1 ) x 1.6
n - 1 = 19
n = 20 .
c )
sum of all the term of AP
=( first term + last term ) x no of term / 2
= (25 + 55.4 ) x 20 / 2
= 804 s .
= 804 / 60 min
= 13.4 min .
1. A piece of steel has a volume of 12 cm3
and a mass of 96g. What is its density?
Answer:
it's density is 8 g /cm³
Step-by-step explanation:
Mass (m) = 96 g
Volume (v) = 12 cm³
Density (d) =?
We know density is defined as mass per unit volume so
d = m/v
= 96 / 12
= 8 g/cm³
Hope it will help :)
Note : if in the question it is said to write in sI system u have to write in kg/m³.
Evaluate the expression 53 ÷ (13 − 8) × 2.
Answer:
im confused too so lets work together!
Step-by-step explanation:
(13 - 8 = 5.) so, rewrite the problem as 5 cubed divided by (5) x 2! Now, we figure out 5 cubed. 5 x 5 equals 25, x 5 equals 125. So, 125 divided by 5 would be 25. Now, 25 x 2 is 50.
The final answer would be 50!
A deli sells 2 hot dogs for $2.50. What is the constant of proportionality of dollars per hot dog?
Answer:
$1.25 per hot dog
Step-by-step explanation:
Since we have given that
A deli sells 2 hot dogs for $2.50
i.e.
Cost of 2 hot dogs = $2.50
And we need to find the constant of proportionality of dollars per hot dog, for which we'll use unitary method.
So,
Cost of 1 hot dog is given by
2.50/2=$1.25
So, Cost of per hot dog is $1.25.
Hope this helps :)
Roxanne likes to fish. She estimates that 30% of the fish she catches are trout, 20% are bass, and 10% are perch. She designs a simulation.
Let 0, 1, and 2 represent trout.
Let 3 and 4 represent bass,
Let 5 represent perch.
Let 6, 7, 8, and 9 represent other fish.
The table shows the results:
The probability helps us to know the chances of an event occurring. The probability of Roxanne catching bass is 60%.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
For the next four of the fishes to be bass, the numbers in the table must contain the digit 3 or 4 in it. Therefore, the cases where Roxanne catches bass are:
263520534526699443483087832335793840683933637683Also, it is mentioned that the total number of cases is 20 (Given in the table). Therefore, the probability of catching a bass can be written as,
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\Probability=\dfrac{\text{Number of cases where Roxanne catches fish}}{\text{Total number of catches}}\\\\\\Probability = \dfrac{12}{20} = 0.60\\\\Probability = 60\%[/tex]
Hence, the probability of Roxanne catching bass is 60%.
Learn more about Probability:
https://brainly.com/question/795909
Answer:
65%
Step-by-step explanation:
If A={w,h,i,t,e,b,o,a,r,d} and U ={a,b,c,d,e,f,g,h,i,j,k,l,m,,n,o,p,r,s,t,u,v,w,x,y,z}
Answer:
Answer = 1234567890
Step-by-step explanation:
What 9+1 please answer
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
OMG I finally know one on here!
7(C - 18)= -98
Help ASAP
Answer:
[tex]C=4[/tex]
Step-by-step explanation:
[tex]7(c-18)=-98\\7c \frac{-126}{+126}=\frac{-98}{+126} \\\frac{7c}{7}=\frac{28}{7}\\c=4[/tex]
Unit test
28
-125% +
20
Enter the answer as an exact decimal or simplified fraction.
Answer:
46.75
Step-by-step explanation:
Answer:46.75
Step-by-step explanation:
The graph of a linear function is shown.
Answer:
Step-by-step explanation:
y=1/5+0 is the answer to your problem I very much believe
Complete the following sentence
If x is to 6 as 10 is to 15, then x is equal to .
Answer:
x=4
Step-by-step explanation:
x/6 = 10/15
x/6 = 2/3
3x=12
Answer:
x=4
Step-by-step explanation:
To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.
To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.
I hope this helps!
What are the slope and y-intercept for the following equation? 3x + 20 = -4y
Answer:
rjdjddd
Step-by-step explanation:
u u3ueueneehnenenee
6/5 of 7/11 pls help asap
Answer:0.76
Step-by-step explanation:
Solve for the missing term
Answer:
Answer 1 : 120
Answer 2 : 4
Answer 3 :
Answer 4 : 60
Amswr 5 :
Sorry I didn't know the rest I hope this helps you
Solve equation 2 cot² x + 2 = 7 + 3 cot x for
[tex]0 \leqslant x \leqslant 360[/tex]
Answer:
Look below.
Step-by-step explanation:
[tex]2 (cotx)^{2} + 2 = 7 + 3 cot x\\let \\ u=cotx\\2u^2+2=7+3u\\2u^2-3u-5=0\\[/tex][tex]x=\frac{-(-3)+\sqrt{9-4(2)(-5))} }{2(2)} \\x=\frac{-(-3)-\sqrt{9-4(2)(-5))} }{2(2)} \\x={11/4}\\x=-1\\\\u=cotx\\x=arccotu\\x_{1}=arccot(-1) \\x_{2}=arccot(11/4)\\[/tex]
Calculate x1 and x2 in calculator. Check for domain.
What this the value of f
Answer:undefined
Step-by-step explanation:-5 is not in the ranges of 0 to 3, greater than three and it is not equal to three so undefined.
3- blank = 11
Please help
Answer:
14
Step-by-step explanation:
3+11=14
soo that is the answer (i read it correctly it is the right answer)
need answers with explanation quick!
Step-by-step explanation:
<AOP + < BOP = 180°< being linear pair >
x + 30° + x - 30° = 180°
2x = 180°
x = 90°
Now
<AOP = x + 30° = 90° + 30° = 120°
<BOP = x - 30° = 90° - 30° = 60°
<AOP is obtuse angle because it is less than 180° but more than 90°.<BOP is acute angle because it is less than 90°.Hope it will help :)❤
Which ratio is equivalent to the ratio 32:40?
Answer:
4/5, or 4:5
Step-by-step explanation:
7 is what percentage of 14?
7 is 50% of 14..........
Answer:
50%
Step-by-step explanation:
7/14 =1/2
7 divided by 7 is 1
14 divided by 7 in 2
A recipe says, "3 parts water to 1 part milk." How much
water will you need If you use 2 Ilters of milk?
Answer:
9 parts water
Step-by-step explanation:
Han used 1 1/2 gallons of paint to paint 3/5 of a shed. How many gallons of paint will it take to paint the whole shed? Write a multiplication equation or a division equation to represent this situation then find the answer. Show your reasoning
Answer:
2 gallons
Step-by-step explanation:
If Han used 1 1/2 gallons of paint to paint 3/5 of a shed, this can be expressed as;
1 1/2 gallons = 3/5 of the shed
3/2gallons = 3/5 of the shed
To find the number of gallons that will paint the whole shed, we will say;
x gallons = 1 shed
Divide both expressions
3/2/x = 3/5
3/2x = 3/4
2x * 3 = 3*4
6x = 12
x = 12/6
x = 2
Hence 2 gallons will be needed for the whole shed
Which angle is complimentary to 3?
Answer:
non of yhrm
Step-by-step explanation:
Which problem can be solved using this equation: 9x + 14 = 100
Answer:
James has 9x cookies he needs 100 he buys 14 more what’s the value of x?
Step-by-step explanation:
1.509 rounded to the nearest ones
Answer:
2
Step-by-step explanation:
Because It pases the half point
The depth of an underwater camera on a cable anchored to the sea floor is proportional to the time. The table records the time in seconds (s) and depth in meters (m) of the camera. What are the missing values in the table?
Answer:
20=-1
60=-3
100=-5
240=-12
Step-by-step explanation:
divide time and depth by 20
When time is 20 the depth is -1, when time is 60 the depth is -3 and time is 240 the depth is -12.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The depth of an underwater camera on a cable anchored to the sea floor is proportional to the time.
From the table let us take the values of time and depth which both are given.
Time=100 and depth is -5.
From this we can find the other values.
Depth=-1 when time is x
100/-5=x/-1
100=5x
Divide both sides by 5
x=20
So when time is 20 the depth is -1.
Now we have to find the depth when time is 60.
60/x=100/-5
-300=100x
x=-3
So when time is 60 the depth is -3.
Now we have to find the depth when time is 240.
240/x=100/-5
-1200=100x
Divide both sides by 100
x=-12
when time is 240 the depth is -12.
Hence, when time is 20 the depth is -1, when time is 60 the depth is -3 and time is 240 the depth is -12.
To learn more on Ratios click:
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#SPJ5
A teacher surveys 30 students on the number of books they read over the summer. The data
are represented in the box plot. What is the median number of books read?
2 4
8
14
20
0
4
8
12
16
20
24
11
8
10
9
Answer:
8+12=20÷2=10
median is 10
What is the circumference of the field if the area is 14400
Answer:
About 425
Step-by-step explanation:
Tell me if you want the explanation.
The Montgomery Company tells Squeaky Clean that most of their buildings are 40 feet tall. Squeaky Clean decides to use ladders to reach the upper windows. The base of the ladder works best on the sidewalk so it needs to be 9 feet away from the building. How tall should the ladder be in order to reach the top of the building?
Answer: 41 feet
Step-by-step explanation: The ladder, the building and the sidewalk creates a right triangle, with the 90° formed at the junction of sidewalk and building, so the length of the ladder is the triangle's hypotenuse.
To determine hypotenuse, use Pythagorean's theorem:
[tex]h^{2}=s^{2}_{1}+s^{2}_{2}[/tex]
[tex]h=\sqrt{40^{2}+9^{2}}[/tex]
[tex]h=\sqrt{1681}[/tex]
h = 41
For the ladder to reach the top of the building, it has to be 41 feet tall.
Dan solves 6p = 5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?
6p - 5 - 3p
Step 1: 6p + 3p - 5 - 3p + 3
Step 2: 6p + 3p = 5 + 0
Step 3:
9p - 5
Step 4:
P=
Both the addition Property of Equality and the Distributive Property
Both the Addition Property of Equality and the Additive identity Property
Both the addition Property of Equality and the Additive inverse Property
Both the Addition Inverse Property and the Additive Identity Property
Answer:
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Both the Addition property of equality and additive inverse property
Can someone please help me
Answer:
the constanst is everytime have and⭐