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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Solve the compound inequality −3 ≤ x + 4 < 8
Step-by-step explanation:
subtrack the 4 inbetween the inequalities to both sides.
Please he.l I got 10 min
Answer:
B
Step-by-step explanation:
the line pass through the point (2.52) and (14.78)
So k= 78-52 =26 =
4-2 =2
In a stationery design, the number of ovals is proportional to the number of squares. How many squares will there be when there are 75 ovals?
When there are 75 ovals, there are
?/?
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
Answer:
75 squares
Step-by-step explanation:
ovals is proportional to the number of squares
75 ovals = 75 squares * constant of proportionality ( this could be any number)
so for 75 ovals we can have
75 squares ,
or 2*75 = 150 squares ,
or we could have .6 *75 = 45 squares
Solve for x: 8 (3x + 10) = 28x - 14 - 4x
Answer:
[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]
The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.
Using the profit concept, it is found that the break-even point is of 61.6 units.
Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.In this problem:
Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:[tex]C(x) = 217x + 5420[/tex]
Selling price per unit of $305, thus, the revenue equation is given by:
[tex]R(x) = 305x[/tex]
The break-even point is the value of x for which:
[tex]R(x) = C(x)[/tex]
Then
[tex]305x = 217x + 5420[/tex]
[tex]88x = 5420[/tex]
[tex]x = \frac{5420}{88}[/tex]
[tex]x = 61.6[/tex]
The break-even point is of 61.6 units.
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help pelase i need help
Answer:
:P
Step-by-step explanation:
:P
What is the equation in slope-intercept form of the line that passes through the points (-18, -10) and (26, 45)?
Answer:
The equation is:
y = 5/4x + 25/2
Step-by-step explanation:
Not yet answered Tharu bought a refrigerator and paid Rs. 40,000 as a down payment. On delivery, she paid another Rs. 80,000 and owed 60% of the purchased price. What was the price of the refrigerator?
Rs. 250000 was the price of the refrigerator.
Let x represent the price of the refrigerator.
Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:
Total Money paid = 100% - 60% = 40% of purchased price
40000 + 60000 = 40% of x
100000 = 0.4x
x = Rs. 250000
Hence, Rs. 250000 was the price of the refrigerator.
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125 × 37 help meeee pleaseeeeee
Answer:
Step-by-step explanation:
125x37=4625
What is the solution to the equation?
--23 = x – 18
х
Enter your answer in the box.
Answer:
x=-5
Step-by-step explanation:
move the x to the other side. Then move the - 23. you get -x=5
you divide by -1 and you get x=-5
Step-by-step explanation:
Given equation,
-23 = x - 18
⇛-23 + 18 = x
⇛ -5 = x
⇛x = -5 Ans.
Hence, the value of "x" is -5.
there are 270 sixth grade students and 45 chaperones going on a field trip. how many students will be with each chaperone if the groups are divided equally.
Answer:
6
Step-by-step explanation:
270 divided by 45
=6
Jason walked to a friends house at a constant rate. It took him 6 minutes to walk 4 blocks. If his friend lives 14 blocks away how long will it take him to get to her house
6/4=1.5=14*1.5=21
21 minutes
some one plz help will make brailist if right
Answer: 31 1/2
I hope this helps I would appreciate brainliest if possible :)
The location of the
circumcenter of TrIangle ABC is:
A. Point D
B. Point E
C. Point F
Answer:
it'd be F
Step-by-step explanation:
just did it on my acellus
The location of the circumcenter of triangle ABC is at ''Point D.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle ABC is shown in figure.
Now,
We know that;
The circumcenter of the triangle is the point at which the distance between the vertices with the circumcenter is equal to each other.
In figure ABC;
⇒ AD = BD = CD
So, The circumcenter of triangle ABC is at point D.
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Find the perimeter of this figure to the nearest hundredth
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
What is the value of this expression? {5×(13−8)}+12÷6 Enter your answer in the box.
Answer:
27
Step-by-step explanation:
start with {5*(13-8)+12/6}
simplify to get:
(5*5)+12/6
simplify to get:
25+12/6
simplify to get:
25+2
simplify to get your answer:
27
The ratio of cups of orange juice concentrate to water in a punch recipe is 3:5. If Connor used 25 cups of water, how many cups of orange juice concentrate did he use
Answer:
15 cups of orange juice
Step-by-step explanation:
Let u be 1 unit.
5u = 25 cups
u = 25÷5
= 5
3u = 5×3
= 15
The function g(x) = 8|x – 15| - 30 is a transformation of the parent function p(x) = x. Which of the following correctly describes the transformation of function p that generates function g?
A p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
B. p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left
c. p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
The parent function is:
[tex]p(x) = |x|[/tex]
The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.
Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.
Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.
Hence, the correct option is given by:
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
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Can you please help me with#7?I don't know how to find the answer.
Part A
The equation is g = -2.5m + 20
The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.
The smallest m can be is m = 0
Let's plug in g = 0 and solve for m to find the largest possible m value
g = -2.5m + 20
-2.5m + 20 = g
-2.5m + 20 = 0
-2.5m = -20
m = (-20)/(-2.5)
m = 8
At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.
This means m is between 0 and 8, including both endpoints.
The domain is [tex]0 \le m \le 8[/tex]
The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5
No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.
-------------------------
Answers:
Domain: [tex]0 \le m \le 8[/tex]The domain is continuous======================================================
Part C
See the graph below. The table is included as well.
To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.
Let's say we picked m = 2
That would mean,
g = -2.5m + 20
g = -2.5*2 + 20
g = -5 + 20
g = 15
So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.
Once the table is set up, you plot all of the points and draw a line through them to complete the graph.
Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.
Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.
A dozen large muffins cost $7.99.
How much does each muffin cost?
Answer:
1.501877347
Step-by-step explanation:
estamate or whaever u need to do
What is the value of 7x (3 + x/4) when x = −8?
Answer:
Third option
Step-by-step explanation:
[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]
[tex]J=∫_e^b▒3dx/(xln^2 x)[/tex]
Answer:
huh rewrite the question
Which word is a synonym of verify?
consent or confirm
Answer:
confirm is the correct answer
Plz mark as Brainliest
please help me with this sum
Answer:
391 × 5 = 1955
621 × 3 = 1863
481 × 7 = 3367
531 × 6 = 3186
981 × 2 = 1962
761 × 9 = 6849
581 × 8 = 4648
431 × 3 = 1293
271 × 4 = 1084
821 × 4 = 3284
What is the distance from (-4, 0) to (2, 5)? Round your answer to the nearest hundredth.
Answer:
7.81
Step-by-step explanation:
Step-by-step explanation:
[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
Now, substitute the numbers into the equation,
[tex] \sqrt{(2 + 4) ^{2} +( 5 - 0)^{2} } [/tex]
distance = 7.81
brianlist me??
MATH PLEASE HELP!!!!!!!!
Let p and q Represent the following statement
Answer:
symbolic representation :negation q (~q)
plz mark me brinest
please solve the questions
please hurry
it's in the attachment hope it helps you
How much work is done lifting a 100 Newton book onto a shelf that is 2 meters high on Earth?
We want to find the work done by lifting a book a given distance.
The answer is 200 N*m
We know that the book weighs 100 Newtons and that we lift it a distance of 2 meters.
Remember that the work needed to lift an object of mass M to a height H is:
W = M*g*H
where g is the gravitational acceleration.
Knowing that:
weight = M*g
We can replace the things we know to get the work:
W = 100N*2m = 200 N*m
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Helppppppppppppppppppppppppppppppppppp
Answer:
The answer would be 7 I hope this helps! : )
Answer:
it's 2
Step-by-step explanation:
if we solve 3×2×1/3
then we will get 2 .