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Anna [14]
2 years ago
5

A conical water tank with vertex down has a radius of 14 feet at the top and is 28 feet high. If water flows into the tank at a

rate of 30 ft3/min, how fast is the depth of the water increasing when the water is 18 feet deep
Mathematics
1 answer:
kifflom [539]2 years ago
3 0

Answer:

Mark me as brainlist

Step-by-step explanation:

The rate of change of one quantity in a system often causes other quantities to change. By knowing the relationship between the different quantities, we may be able to find the relationship between their rates of change.

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A swimming pool measures 40 ft long by 20 ft wide. The pool is filled to a depth of 5 ft. Find the volume of the water in the po
madreJ [45]

Answer: 4,000 cubic feet

Step-by-step explanation:

Volume=LWH (Length times width times height, nay base times height)

V=40*20*5

V=40*20*5= 4000

Answer: 4,000 cubic ft.

8 0
3 years ago
The picture is above.
vladimir2022 [97]

Answer: =x4+3x3+2x2−4

Step-by-step explanation:

(x2+3x+2)(x2)−4

Distribute:

=(x2)(x2)+(3x)(x2)+(2)(x2)+−4

=x4+3x3+2x2+−4

6 0
2 years ago
Help please will mark brainliest.
swat32

Answer: the ANSWER IS 11 sqt

Step-by-step explanation:

Factor 1331 into its prime factors

          1331 = 113

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          121 = 112

Factors which will remain inside the root are :

          11 = 11

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          11 = 11

The simplified SQRT looks like this:

        11 • sqrt (11)  

Simplified Root :

11 • sqrt(11)

7 0
3 years ago
Read 2 more answers
If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
vredina [299]

Answer: 4:3.

Step-by-step explanation:

Given: Point P is \dfrac{4}{7} of the distance from M to N.

To find: The ratio in which the point P partition the directed line segment from M to N.

If Point P is between points M and N, then the ratio can be written as

\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}

As per given,

\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}

Hence, P partition the directed line segment from M to N in 4:3.

7 0
3 years ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
3 years ago
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