Step-by-step explanation:
the number in which 4 has the highest value is
6748.9251
Answer:
6834.2590
Step-by-step explanation:
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What is the volume of the cone? Round to the nearest cubic cm.
Answer:
the answer will be
184.31
Given point (-6, -3) and a slope of 4, write an equation in point-slope form.
Answer:
C
Step-by-step explanation:
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...
Answer:
B. 4
Step-by-step explanation:
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer: D. -4
Step-by-step explanation: took the quiz and got it right.
PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.
Answer:
C
Step-by-step explanation:
Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 21 centimeters per minute when the height of the water is 3.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Answer:
1508527.582 cm³/min
Step-by-step explanation:
The net rate of flow dV/dt = flow rate in - flow rate out
Let flow rate in = k. Since flow rate out = 6800 cm³/min,
dV/dt = k - 6800
Now, the volume of a cone V = πr²h/3 where r = radius of cone and h = height of cone
dV/dt = d(πr²h/3)/dt = (πr²dh/dt)/3 + 2πrhdr/dt (since dr/dt is not given we assume it is zero)
So, dV/dt = (πr²dh/dt)/3
Let h = height of tank = 12 m, r = radius of tank = diameter/2 = 3/2 = 1.5 m, h' = height when water level is rising at a rate of 21 cm/min = 3.5 m and r' = radius when water level is rising at a rate of 21 cm/min
Now, by similar triangles, h/r = h'/r'
r' = h'r/h = 3.5 m × 1.5 m/12 m = 5.25 m²/12 m = 2.625 m = 262.5 cm
Since the rate at which the water level is rising is dh/dt = 21 cm/min, and the radius at that point is r' = 262.5 cm.
The net rate of increase of water is dV/dt = (πr'²dh/dt)/3
dV/dt = (π(262.5 cm)² × 21 cm/min)/3
dV/dt = (π(68906.25 cm²) × 21 cm/min)/3
dV/dt = 1447031.25π/3 cm³
dV/dt = 4545982.745/3 cm³
dV/dt = 1515327.582 cm³/min
Since dV/dt = k - 6800 cm³/min
k = dV/dt - 6800 cm³/min
k = 1515327.582 cm³/min - 6800 cm³/min
k = 1508527.582 cm³/min
So, the rate at which water is pumped in is 1508527.582 cm³/min
Find c.
Round to the nearest tenth:
с
8 cm
829
550
b
Answer:
c = 9.7
Step-by-step explanation:
Using the law of sines
sin 55 sin 82
---------- = ---------------
8 c
Using cross products
c sin 55 = 8 sin 82
c = 8 sin 82 / sin 55
c=9.67115
To the nearest tenth
c = 9.7
PLEASE ANSWERRRR ULL BE SO COOL ILL MARK BRAINLEST!!!
which of the answers is correct
Answer:
Option C, sin Y = 38/63
Step-by-step explanation:
sin Y = Opposite/Hypotenuse
sin Y = 38/63
Answered by GAUTHMATH
Match the two numbers with their least common multiple (LCM).
Answer:
Step-by-step explanation:
6 and 4 : LCM is 12
6 and 8: LCM is 24
6 and 10 LCM is 30.
State the domain and range of the graph below:
Answer:
domain [-1, ∞)
range [ -3, ∞)
Step-by-step explanation:
HELP THANKS SO MUCH BRAIN FOR CORRECT
Answer:
i think the answet is 0.625
Please answer this!!
Answer: Choice C. 110ft
Step-by-step explanation:
Near a 30,60,90 triangle, multiply by [tex]\sqrt{3}[/tex] to approximate the distance from point B to the tree.
Answer:
82
Step-by-step explanation:
I want to say 82 but i am not positive
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-
slope form is y + 1 = {(x – 8).
br +
y =
Answer:
y + 1 = 2/3 (x - 8)
Step-by-step explanation:
y2 - y1 / x2 - x1 -5 - (-1) / 2 - 8 -4/-6 2/3
y + 1 = 2/3 (x - 8)
helpppppppppppppppppppppppppppppppppppp
Answer:
5
Step-by-step explanation:
Given: i = 5¹
5¹ = 5
Therefore, the correct option is 5
Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?
Thank you!
Answer:
$1.05 per yard
Step-by-step explanation:
5.25 ÷ 5 = 1.05
Answer:
$1.05 per yard.
Step-by-step explanation:
find unit rate; (cost / quantity)
5.25 / 5 = 1.05
need some help with this
Answer:
1/3
Step-by-step explanation:
Slope is rise over run
your rise is 1 (because you only go up one block each time)
your run is 3 ( because you go right three times)
so 1/3
Taylor wirtes a exppersion with five terms all 5 terms are like terms how many terms are in equivilent exppersions with the least numbers of terms ?
Answer:
1 term
Step-by-step explanation:
Writing an expression of 5 terms such that all 5 terms are like terms ;
Using the analogy :
x, 2x, 4x, 3x, 5x
Writing as an expression :
x + 2x + 4x - 3x + 5x
7x - x + 5x
6x + 5x
11x
The least number of terms in its equivalent expression is 1 ;
As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x
If 75% is 10 days, how many days is the remaining 25%?
Answer:
10/3 days or 3 1/3 days
Step-by-step explanation:
Let d = number of days total
75% of the days is 10
.75 d = 10
d = 10/.75
d = 40/3 days
We want to know how man is 25% of d
d * 25%
(40/3) *.25
10/3 days
What is the area of this triangle? Enter your answer in the box.
Answer:
A =27 cm^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 (9) (6)
A =27 cm^2
Answer:
I assure you the person above is perfectly right. The area of a triangle is:
A = 1/2bh
Step-by-step explanation:
Have a good day.
Find the angle that has tangent,1.000.Give your answer correct to two significant figures
Answer:
Step-by-step explanation:
Degrees Radians tangent
60° π/3 √3
45° π/4 1
30° π/6 1/√3
0° 0 0
Class 10. Trignometry. Can you solve the 1st, 4th, 7th, 9th and 10th question. Best answer will be marked brainliest.
How do you find the diameter of a quarter circle?
Answer:
um 1/4
Step-by-step explanation:
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 8 people took the trip. She was able to purchase coach tickets for $300 and first-class tickets for $1060. She used her total budget for airfare for the trip, which was $6960. How many first-class tickets did she buy?
How many coach tickets did she buy?
number of first-class tickets bought nothing number of coach tickets bought nothing
Answer:
She bought 6 first class tickets and 1 coach ticket
Step-by-step explanation:
1060(6)= 6360 and 6960-6360=300 and 300 is the price for a coach ticket.
Can u help solve this problem
Answer:
45in³
Step-by-step explanation:
6 x 5 x 3 = 90/2 = 45in³
Please answer this!!
Answer:
BC = 6.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta =opp /adj
tan C = AB / BC
tan 45 = 6.8/ BC
BC = 6.8 / tan 45
BC = 6.8 / 1
BC = 6.8
Answer: Choice D. 6.8
Step-by-step explanation:
45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.
A submarine cruises underwater at 20 km/h and on
the surface at 30 km/h. The submarine travels a.
distance of 650 km in 25 h. A linear system was
created and graphed
Answer:
System of equations:
20x + 30y = 650
x + y = 25
Time underwater = 10 hours
Time at the surface = 15 hours
Step-by-step explanation:
Let x = time underwater at 20 km/h.
Let y = time on the surface at 30 km/h.
speed = distance/time
distance = speed * time
distance underwater: 20x
distance on the surface: 30y
total distance: 650
20x + 30y = 650
total time: x + y
total time: 25
x + y = 25
20x + 30y = 650
x + y = 25
20x + 30y = 650
-20x - 20y = -500
--------------------------------
10y = 150
y = 15
x + y = 25
x + 15 = 25
x = 10
A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.
Answer:
The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
Step-by-step explanation:
Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:
6/15 x 5/14 = 0.1428
9/15 x 8/14 = 0.3428
Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
hello pls help it has to do with shapes and volume. thank u :D
Hi there!
[tex]\large\boxed{r\approx 10.6 cm}[/tex]
Solve for the radius using the pythagorean theorem:
a² + b² = c²
We know the lengths of the hypotenuse and one leg, so:
a = 12
b = ?
c = 16
Plug these into the equation:
12² + b² = 16²
Simplify:
144 + b² = 256
Subtract both sides by 144:
b² = 112
Take the square root:
b ≈ 10.6
Thus the radius is about 10.6 cm.
A saleslady is paid a commission of 3% on goods worth over 100,000 and a salary 11,000 .If she had a20% salary increase and total earnings of 22,200. Calculate the total amount received from sales
Answer:
I am not sure on the answer but i think its $9,000
Step-by-step explanation:
11,000x0.20=2,200
2,200+11,000=13,200
22,200-13,200=9,000
which would mean she got $9,000 from commissions.
if you did 100,000x0.03=3,000
9,000/3,000= 3
so she would have had 3 commissions worth over 100,000
The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?
Answer:
3.1
Step-by-step explanation:
5 x5 =25
25+3=28
the other children are 4 years old
