Answer:
6.82 
Step-by-step explanation:
By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation
r/1 = 2.5/6
(See picture attached)
So, r = 0.4166 meters when the water is 1 meter high.
The volume of a cone with radius of the base = R is given by

So, the volume of water when it is 1 meter high is

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt
The radius now satisfies
r/1.3 = 2.5/6
and now the radius of the base is
r = 0.5416 mt
and the new volume of water is 
So, the water is raising at a speed of
0.3071-0.1871 = 0.12 
This speed equals the difference between the water being pumped and the water leaking,
So,
<em>0.12 = Speed of water being pumped -6.8 </em>
and
Speed of water being pumped = 6.8+0.12 = 6.82 
Answer:
-68.6
Step-by-step explanation:
subtracting a negative from a negative is addition.
Answer:
Hope it helps u
Step-by-step explanation:
As we know that ,
Mean = sum of the terms/ numbers of terms
But here grouped data is given so , we use the formula
Mean=∑[f. m]/ ∑f
where f is frequency and m is mid point of each height ,
Now first we have to find the mid point of each interval, where
midpoint of each interval = (lower boundary + upper boundary)/2
m1=(150+154)/2 = 152
m2=(155+159)/2= 157,now found other by same formula, for each interval
m3= 162
m4= 167
m5=172 Now we find the midpoint of each interval ,so now
∑[f. m]=f1*m1+f2*m2+f3*m3+f4*m4+f5*m5
now putting the values of each frequency for given interval and midpoint of each interval we will get,
∑[f. m]=456+942+1296+167*x+344 = 167*x+3038
Now find,
∑f=f1+f2+f3+f4+f5
∑f=19+x
Now we have,
∑[f. m]=167*x+3038
∑f=19+x
also given mean height=161.6 cm
putt these values in above equation we get,
161.6=
now solve this ,
161.6(19+x)=167*x+3038
3070.4+161.6*x=167*x+3038
3070.4-3038=167*x-161.6*x
32.4=5.4*x
x=32.4/5.4
<h2>
x=6 Ans........</h2>
Initial dep for A = $200
for A, B, C :
initial dep + 6 (monthly rent) = $5150
For A:
$200 + 6(monthly rent A) = $5150
monthly rent A = (5150 - 200) / 6 = $825
For B:
monthly rent B = monthly rent A - $25 = $800
initial dep B + 6(800) = 5150
initial dep B = 5150 - 4800 = $350
For C:
initial dep C = initial dep B + $150 = $500
$500 + 6(monthly rent C) = 5150
monthly rent C = (5150 - 500) / 6 = $775
#10
15(1/3y-3/5x-2/3y+4/15x)
Calculate
15(-y/3-x/3)
Write all numerator over common denominator
15(-y+x/3)
Multiply by reducing
-5(y+x)
Multiply parenthesis by -5
-5y-5x
#11
24(2/3y-3/4x-2/8y+5/6x)
Reduce fraction
24(2/3y-3/4x-1/4y+5/6x)
Calculate
24(5/12y+x/12)
Multiply parenthesis by 24
10y + 2x