This shows that it will take the particle 23 secs to meet.
The distance travelled by each particle is 50cm
If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,
The first particle distances are 97cm, 93cm, 89cm... every 2secs
This form an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 97
d is the common difference = 4
Substitute
Tn = 97+(n - 1)(4)
Tn = 97 + 4n -4
Tn = 4n + 93
Similarly for the distances 49 cm, 47 cm, 45cm .....
This also forms an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 49
d is the common difference = 2
Substitute
Tn = 49+(n - 1)(2)
Tn = 49 + 2n -2
Tn = 2n + 47
For the particles to meet, this means that 4n + 93 = 2n + 47
4n - 2n = 47 - 93
2n = -46
n = -23
This shows that it will take the particle 23 secs to meet.
To get the distance travelled by each particle
Tn = 4n + 93
T2 = 4(2) + 93
T2 = 101
For the other sequence;
Tn = 2n + 47
T2 = 2(2) + 47
T2 = 51
Taking the difference;
D = 101 - 51 = 50cm
Hence the distance travelled by each particle is 50cm
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5(x + y)2 + (x + y) − 4
Answer:
11x+11y-4
Step-by-step explanation:
P g In the figure, lines m and nare parallel to each other. Lines p and q are also parallel to each other. 689 х The value of x is. degrees, and the value of y is degrees.
Answer:
220 i think
Step-by-step explanation:
Ms.Taylor buys 8 picture books and 12 marker
Answer: Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.
142.8 is the book price 27 is the marker price added together equal 169.8
Step-by-step explanation:
Answer:
$169.80
Step-by-step explanation:
Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.
17.85*8=142.8
2.25*12=27
142.8+27=$169.80
PLEASE DO!! will give brainliest
Which statement correctly describes the end behavior of the function f(x) = x2 – 2x + 8?
Answer:
3
Step-by-step explanation:
in both f approaches +infinity
Create a proportion from each set of numbers. Only use 4 numbers from each set.
Step-by-step explanation:
Approach: If four numbers a, b, c and d are in proportion then a:b = c:d. The solution is to sort the four numbers and pair up the first 2 together and the last 2 together and check their ratios this is because, in order for them to be in proportion, the product of means has to be equal to the product of extremes.
The lines represented by the equations y=-\frac{5}{2}x+7y=− 2 5 x+7 and y-\frac{2}{5}x=-4y− 5 2 x=−4 are
Answer:
bxjfjxucjkkdndjkjhkjjnn
y < -2x + 1
x + 2y > -4
Answer:
99
Step-by-step explanation:
• A man observes the angle subtended by a pole to be 30'. He walks 10 metres towards its base and finds that it subtends an angle of 45'. Find the height of the pole.
(A) 12.65 m (B) 13.66 m (C) 15 m (D) 14 m
Answer:
13.66m
Step-by-step explanation:
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume
Answer:
3000000cm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
Can someone help me please
Answer:
The financial aid covers $ 1,875
Student needs to pay out-of-pocket $635
Step-by-step explanation:
(2,500) * (3/4) = 7500/4 = 1,875
2,500 - 1,875 = 635
Clear Plumbing charges a flat fee of $28.50 for a repair trip and $38. 50 per hour for labor. What is the total cost of a repair job that takes 3.5 hours?
Answer:
163.25
Step-by-step explanation:
38.50x3.5= 134.75
134.75+28.50= 163.25
38.5 per hour which explains 38.5x3.5= 134.75
28.50 is a one time fee so you add that to the total of hours 134.75+ 28.50= 163.25 in total.
True or false
Quotient x Remainder + Dividend - Divisor
What is the value of the expression (2.75) (5.2)?
Answer:
14.3
Step-by-step explanation:
2.75 * 5.2=14.3
-12 1/2 + 4 1/2
I need the work
Answer:
-4
Step-by-step explanation:
1/2 of -12 is -6. 1/2 of 4 is 2.
-6 + 2 is -4.
Can someone help me please
Answer:
a.(x)=7
b.(x)=14
Step-by-step explanation:
plz mark me as brainliest
Answer:
For A x equals 7
For B x equals 14
Explanation:
Simply cross multiply
A. 21×2=42÷6=7
Or find the relationship
B. 150÷6=25
84÷6=14
Hope this helps, mark BRAINLIEST please...
PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!
Answer:
130
Step-by-step explanation:
sorry if wrong
have a great day
x likes teenager but hates children, x likes running but hates walking, x likes swimming but hates water, x likes trees but hates flowers, x likes jeeps but hates car, x likes beef but hates pork. from the following what does x likes?
Step-by-step explanation:
x likes teenagers, running, swimming , trees , jeeps and beef.
2) The management company of a popular, but unstable, rapper is worried about their investment
in his up-coming world tour, so they purchase a 1-year $1 million insurance policy for $137,000.
The probability the rapper will successfully complete the 1-year world tour is 0.87352. What is
the expected value of the policy from the perspective of the management company?
Answer:
137,000
Step-by-step explanation:
its math bro
Simplify 72y^4/8y^7
72y^4
———
8y^7
Step-by-step explanation:
hi hi hi nice to meet you meet you
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
Answer:
-96 cents
Step-by-step explanation:
(Conjectured Problem) In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46. That is your expected win?
Expected Win =
(Probability you match the drawn sequence)(Amount won if there is a match) - (Amount you pay) =
(1/10)(1/10)(1/10)(394.46) - 1.35 =
0.39446 - 1.35 =
-0.95554 =
-96 cents, rounded to the nearest cent
What is the slope of the line through (-9,-6) and (3,-9)
Answer:
-1/4
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-6) / 3 - (-9)
-3/12
= -1/4
Help ASAP! i will give brainliest!
9514 1404 393
Answer:
-3/4a^3b^23.2·10^-1-0.1a^(n+1)Step-by-step explanation:
To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.
A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2
__
B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1
__
C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)
On a coordinate plane, how are the locations of the points (-4 , 8) and (-4 , -8) related?
A.
reflection across the y-axis
B.
reflection across the x-axis
C.
reflection across both axes
D.
locations unrelated
Answer:
A. reflection across the y-axiss
Step-by-step explanation:
Given:
The locations of the two points are (-4 , 8) and (-4 , -8).
To find:
The relation between two points.
From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,
[tex](x,y)[/tex]→[tex](-x,y)[/tex]
For (-4,8)
[tex](-4,8)[/tex]→ [tex](-4,-8)[/tex]
So, it is reflection across the y-axis.
Therefore, the correct option is A.
Find the volume of the composite solid.
Answer:
volume________
7 ft 8 ft 7.5 ft 7 ftif carl runs 4 laps in 18 minutes, how many laps can he run in 1 1/2 hours
Answer:
20 laps
Step-by-step explanation:
18 divide by 4 = 4.5
so 1 lap equals 4.5 minutes
and 1 and half hours is 90 minutes so 90 divide by 4.5 = 20 laps
A person's heart beats 200 times in 3 minutes. How many times will it beat in an hour (remember...60 minutes in an hour) ?
200 times / 3 minutes = x times / 60 minutes
3x = 12000
x = 4000 times in an hour
A person's heart will beat 4000 times in an hour.
Hope this helps!! :)
Answer: 4000 beats per hour
Step-by-step explanation:
200 beats X 60 minutes
3 minutes 1 hour
The term 'minutes' cancel out therefore you are left with beats per hour
200 x 60 = 12000 = 4000 beats per hour
3 3
Pls help ASAP I’ll brainlest
EXPERIMENT
PROBLEM
CONCLUSION
INFERENCE
17. Bailey rode Coaster B four times. How
many feet did she ride? What is your
answer rounded to the nearest thousand?
DATA
18. Janna rode each of the four roller
coasters listed in the table twice. How
many feet of roller coaster did she ride?
Answer:
Step-by-step explanation:
Which math expression means "the quotient of an unknown number and 18"?
A. x ÷ 18
B. 18 • x
C. x – 18
D. x + 18
Answer:
[tex]option \: b.[/tex][tex]18•x[/tex]
Answer:
Step-by-step explanation:
Use the monthly payment formula to find the monthly payment for a $1,000, one year
loan at an APR of 7.5%
Step-by-step explanation:
The formula :
[tex]\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}[/tex]
where r is years ; N is the percentage by which we increase the price ; A is the original price
In our case :
[tex]\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}[/tex]
Then the monthly salary is equal to:
[tex]\dfrac{1075}{12} \approx 89,58 \$[/tex]