One pipe can fill a pool in 6 hours. The second pipe can drain the pool in 18 hours. How long will it take to fill the pool if both pipes are working?

Use the Pythagorean theorem

? = sqrt(52^2 + 19^2)

? = sqrt(2704 + 361)

? = sqrt(3065)

Answer: sqrt(3065)

Answer:

see below

Step-by-step explanation:

y = x^2 +2x - 8

Factor

y = ( x+4)(x-2)

The zeros are

x+4 = 0  x-2 = 0    

x= -4    x= 2

(-4,0)  (2,0)

The axis of symmetry is 1/2 way between the zeros

(-4+2)/2 = -2/2 = -1

x = -1

The x coordinate of the vertex is at the axis of symmetry

The y value is found by substituting x=-1

y = (-1+4) (-1-2)= 3*-3 = -9

Vertex ( -1,-9)

The domain is all real numbers

The range is from -9 up

y≥ -9  since it opens upward

Answer:

Given, A={p,q,r}.

Now, possible subsets of A are ,{p},{q},(r) {p,q}.

(q,r) (p,r) (p,q,r)

Answer:

[tex]\sqrt[2]{8}[/tex]

Step-by-step explanation:

Remember the basic format of a fraction raised to a fractional exponent:

[tex]a^\frac{b}{c}=\sqrt[b]{a^c}[/tex]

Some terms to keep in mind are the following:

(a) is the base

(c) is the exponent

(b) is the index

Apply this information to the given problem:

[tex]2^\frac{3}{2}[/tex]

In this case, (2) is the base, and the index; (3) is the exponent. Apply the general format of the fraction exponent to change the expression from an exponent to a radical.

[tex]2^\frac{3}{2}=\sqrt[2]{2^3}[/tex]

Simplify the term under the radical:

[tex]\sqrt[2]{2^3}=\sqrt[2]{8}[/tex]

Answer:

122

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior agnles

32+90 =x

122 =x

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]

[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]

Answer:

1

Step-by-step explanation:

K(x)=5^(x+2)

Let x = -2

K(-2)=5^(-2+2)

       = 5^0

      = 1

Answer:

k(- 2) = 1

Step-by-step explanation:

Substitute x = - 2 into k(x) , that is

k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]

Answer:

[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]

1000 times

Step-by-step explanation:

Answer:

0.1% = 1 spin then

100% = ( 100×1) ÷0.1 = 1000

we are using 100% because its a sure bet it will happen but not logically

the answer is 1000

1). 210m^2+156m-96=0

2). 35m^2+26x-16

3). 35m^2+40m-14m-16

4). (35m^2+40m)+(-14m-16)

5). 5m(7m+8)-2(7m+8)

6). (5m-2)(7m+8)

7.) m= 2/5, -8/7

On the 2nd step I divided 6 on both sides.

Answer:

cos(pi/2) + i sin (pi/2)

Step-by-step explanation:

(1+i)/ (1-i)

Multiply top and bottom by (1+i)

(1+i) (1+i)/ (1-i)(1+i)

Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i

Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2

2i/2 = i

the magnitude is (0^2+1^2) = 1

The angle is tan^-1( 1/0) = pi/2

cos(pi/2) + i sin (pi/2)

Answer:

B) The quadrilaterals are not similar

Step-by-step explanation:

The sides do not correspond and are not proportionate

Answer:

-17 < g [tex]\leq[/tex] 8

Step-by-step explanation:

'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.

Answer:

10x+9

Step-by-step explanation:

Since 4, 5, and 1x are all x terms you add them up. So 4x+5x+1x=10x. The same goes for 7 and 2, except they are non-x terms. So 7+2= 9. That means that the final answer is 10x+9.

Hope this helps!

Answer:

Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)

Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)

A midpoint is a point that divides a given line into two equal halves.The answers to the questions are:

1. BC = 89

b. AB = 45

c. AC = 44

2. The coordinate of I is 2.5

3. J = 19

4. MQ = 32

5. NO = 13

6. NO = 23

b. MN = 25

A line segment can be divided into different fractions. Where the point that divides the line segment into equal parts is the midpoint. however, number line is a system that shows the location or positions of all directed numbers.

The given questions can be solved as follows:

1. Given that point A is between BC and AB = 4x -3, BC = 7x + 5, AC = 5x - 16

But,

BC = AB + AC

7x + 5 = (4x -3) + (5x - 16)

          = 9x - 19

7x + 5 = 9x - 19

19 + 5 = 9x - 7x

24 = 2x

x = [tex]\frac{24}{2}[/tex]

x = 12

So that;

a. BC = 7x + 5

         = 7(12) + 5

BC = 89

The value of BC is 89.

b. AB = 4x -3

         = 4(12) - 3

AB = 45

Thus AB has a value of 45.

c.  AC = 5x - 16

          = 5(12) -16

 AC = 44

The value of AC is 44.

2. Given that H is the mid point of GI, and G = 8, I = -3.

Then;

I = 2.5

The coordinate of I is 2.5

3. A midpoint is a point that divides a line segment in to two equal halves. Given that J is the midpoint of KL. KL = 38

J = [tex]\frac{KL}{2}[/tex]

  = [tex]\frac{38}{2}[/tex]

J = 19

The value of the midpoint J is 19.

4. It can be deduced from the conditions given in the question that:

  MQ = MN + NO + OP + PQ

          = 8 + 8 + 16      (NB: OP + PQ = 16)

MQ = 32

Thus, value of MQ is 32.

5. Since P is the mid point of NQ, and OP = 11, OQ = 35

 Then;

PQ  = OQ - OP

      = 35 - 11

PQ = 24

Since, PQ = NP =24

Then;

NO = NP - OP

      = 24 - 11

NO = 13

NO has a length of 13.

6. NO = 2y + 11, OP = 3y - 2, NP = 6y + 3 and MP = 64.

But,

NO + OP = NP

(2y + 11) + (3y - 2) = 6y + 3

5y + 9 = 6y + 3

9 - 3 = 6y - 5y

y = 6

So that;

a. NO = 2y + 11

          = 2(6) + 11

NO = 23

Here, the value of NO is 23.

b. MN = MP - NP

But,

NP = 6y + 3

     = 6(6) + 3

NP = 39

Then;

MN = 64 - 39

MN = 25

So that MN has a value of 25.

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Answer:

.71

Step-by-step explanation:

We only need to look at the brown eyes row

2+2+10 =14

Brown hair is 10

P(brown hair) = brown hair / total

                        =10/14 =5/7 = .714285714

—3/2 X + Y = —7/2

This is the standard form

Answer:

ab=9 and ac=12

Step-by-step explanation:

Step-by-step explanation:

[tex]1 \div 100th[/tex]

Answer:

48.5 and 34.5

Step-by-step explanation:

83 divided by 2 and then subtract 7

Answer:

45 and 38 equal 83 and 45 is 7 more than 38

Answer:

not really

Step-by-step explanation:

because on the first equation you subtract 5and take to y as a negative and in the second equation 5 goes as a positive at least that is what i think

Answer:

no cause

5-x=y

5 is positive , x is negative

BUT

x-5=y

5 is negative, and x is positive

Answer:

d

Step-by-step explanation:

you could see it is x-1 and the the square root of 16 is 4.

Answer:

Answer is the very bottom one

Step-by-step explanation:

hope this helped ^^

Answer:

the process is correct

Step-by-step explanation:

hope u like it

Answer:

It's 13.2

Step-by-step explanation:

From pythogras theorem:

[tex]{ \bf{ {a}^{2} = {b}^{2} + {c}^{2} }}[/tex]

[tex] = \sqrt{ {20}^{2} - {15}^{2} } \\ = \sqrt{175} \\ = 13.2[/tex]

9514 1404 393

Answer:

  C: 2 and 3 only.

Step-by-step explanation:

We know the sum or difference of two odd numbers is even, eliminating choices (1) and (4).

The product of two odd numbers is odd, so (2) is one of the true statements.

__

Let x/y = k, where x and y are both odd. Then x = ky. If k is even, then x is even, a contradiction. So, k must be odd. The integer ratio of two odd numbers is odd, so (3) is one of the true statements.

Only statements (2) and (3) are true.

Answer:

Step-by-step explanation:

english only please

Step-by-step explanation:

where is the steps to this question you can't answer it without a question too it SMH

Answer:

12,490

+ 3,941

16431

Step-by-step explanation:

Answer:

[tex]x^{\frac{3}{2} } p^{6}[/tex]

Step-by-step explanation: