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ivann1987 [24]
3 years ago
14

Three pipes A, B and C take 24, 36 and 32 hours to fill a pool, respectively. How long would it take the three pipes to fill the

pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?
Mathematics
1 answer:
Tom [10]3 years ago
4 0
24+32-3=53
24+32=56
56-36=20
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Use determinants to find out if the matrix is invertible.
wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0
3 years ago
Is (3,-4) a solution of x=-4
jekas [21]

Answer:

no

Step-by-step explanation:

3 is the x coordinate/ integer and -4 is the y coordinate and the integer so it wouldn't make sense

x=  3 is a solution

and id you don't understand the first thing i said watch this

#1. 3, - 4

#2. x= - 4

#3. substitute/replace the x with what the x coordinate is

#4. it will be 3= - 4

#5. as you can see the numbers don't equal each other so it's a no solution

4 0
3 years ago
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was o
Roman55 [17]

Answer:

Option C.

Step-by-step explanation:

Given information:

Sample size = 150

Number of Opinions = 3 (Yes, No, No Opinion)

Yes = 40

No = 60

No opinion = 50

We need to find the expected frequency for each group.

Expected frequency for each group is the quotient of sample size and number of opinions.

\text{Expected frequency for each group}=\dfrac{\text{Sample size}}{\text{Number of Opinions}}

\text{Expected frequency for each group}=\dfrac{150}{3}

\text{Expected frequency for each group}=50

Therefore, the correct option is C.

6 0
3 years ago
Which equations transform the parent secant graph to the parent cosecant graph?
jenyasd209 [6]

Answer:

B

Step-by-step explanation:

y=sec(x+pi/2)

Took the test on e2020

7 0
2 years ago
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laila [671]
5 roach motels per square yd

A = L * W
A = 7 * 4
A = 21 square yds

so if they set out 5 roach motels per square yd, then they need to set out :
5 * 21 = 105 roach motels <==
8 0
3 years ago
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