It takes 5 minutes to fill an empty aquarium to a depth of
5/8
meters. What is the unit rate in minutes per meter?

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.

Algebraic identities are expansion of powers of algebraic expressions.

One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

Given the question,

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]

Given the form, [tex]b - c\sqrt{5}[/tex],

On comparison,

b = 12

c = 4

Learn more about algebraic identities here

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Answer: 1. 24

2. 32

3. 22

4. 16

5. 14

6. 34

7. 44

8. 30

9. 24

10. 50

Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest

Answer:

You are right

Step-by-step explanation:

It starts at zero and goes up. (Positive slope)

Answer: 28 y

Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y

Answer:

i think its b

Step-by-step explanation:

Answer:

18° , 72° , & 90°

Step-by-step explanation:

First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°

The equation will be:

1x + 4x + 5x = 180°

10x = 180°

divide both sides by 10 to get 1x on the left side:

[tex]\frac{10x}{10} =\frac{180}{10}[/tex]

x = 18

Then plug 18 in, instead of 'x', similar to in the first step:

1(18) = 18°

4(18) = 72°

5(18) = 90°

Answer:

Because it can't be written as a Ratio of two integers

Answer:

Step-by-step explanation:

for example :

each person spends = $(5+3)

=$8

four people = 8 × 4 = $32

hope it helps...!!!

Answer:

it is a function because it doesn't have multiple y values for each x value

Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:

1. a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. a.) FH = 24

b.) JL = 74

c.) KJ = 60

d.) FJ = 30

4. a.) AE = 26

b.) AN = 58

c.) CT = 21.5

d.) Perimeter of ΔAEN = 127

5. x = 15

6. x = 6

Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.

Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:

1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:

a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. The segment parallel to the given segments are:

a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. Given:

FG = 37; KL = 48; GH = 30

a.) FH = ½(KL)

FH = ½(48)

FH = 24

b.) JL = 2(FG)

JL = 2(37)

JL = 74

c.) KJ = 2(GH)

KJ = 2(30)

KJ = 60

d.) FJ = ½(KJ)

FJ = ½(60)

FJ = 30

4. Given:

PT = 13

EN = 43

CP = 29

a.) AE = 2(PT)

AE = 2(13)

AE = 26

b.) AN = 2(CP)

AN = 2(29)

AN = 58

c.) CT = ½(EN)

CT = ½(43)

CT = 21.5

d.) Perimeter of ΔAEN = EN + AN + AE

Perimeter of ΔAEN = 43 + 58 + 26

Perimeter of ΔAEN = 127

5. 10x + 44 = 2(8x - 23) (midsegment theorem)

10x + 44 = 16x - 46

10x - 16x = -44 - 46

-6x = -90

Divide both sides by -6

x = 15

6. 19x - 28 = 2(6x + 7) (midsegment theorem)

19x - 28 = 12x + 14

19x - 12x = 28 + 14

7x = 42

x = 6

Learn more about midsegment theorem on:

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Answer:

x=30

Step-by-step explanation:

105 is also the same as angle b which is also the same as the angle opposite.

so

150+150=300

360-300=60

60/2=30

hope that helps.

plz mark as brainliest if correct

thank you

Answer:

x=75°

Step-by-step explanation:

the angle that is 105° and the angle that is x makes a co interior angle.

the two angles belonging to that co interior angle will always add up to 180°.

so in this case, 180° - 105° = x

answer = x=75°

Answer:

13 in12

Step-by-step explanation:

Reminder = f ( 6 )

Thus :

[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]

[tex]f(6) = 1296 - 864 + 1[/tex]

[tex]f(6) = 433[/tex]

Thus ;

[tex]remider = 433[/tex]

First, we'll look at the first term of each expression.

---x times what is equal to x^3? = x times x^2 = x^3

So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.

x^2(x + 1) = x^3 + x^2

(x^3 + 4x + 5) - (x^3 + x^2)

x^3 - x^3 = 0

0 - x^2 = -x^2

4x - 0 = 4x

5 - 0 = 5

Our new expression is -x^2 + 4x + 5.

So we again ask ourselves, x times what is equal to -x^2? = -x

-x(x + 1) = -x^2 - x

And subtract!

(-x^2 + 4x + 5) - (-x^2 - x)

-x^2 - - x^2 = -x^2 + x^2 = 0

4x - - x = 4x + x = 5x

5 - 0 = 5

Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.

Multiply, then subtract!

5(x + 1) = 5x + 1

(5x + 1) - (5x + 1) = 0

Now that we have nothing left to divide, let's go back and get our answer.

x^2 - x + 5

Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.

Hope this helps and if you have any further questions, please let me know! :)

Answer:

Step-by-step explanation:

         x   - 2         <--- quotient

x + 1) x^2 -  x + 5       First divide x^2 by x giving x then multiply x + 1 by x:

         x^2 + x             Now subtract x^2 + x from x^2 - x and bring down +5:

                  -2x + 5     Now divide -2x by x to get -2 and multiply X+1 by -2                           -2x - 2       Subtract:

                           7  

The result is x - 2 (see above)  remainder 7

or you could write it as

x  - 2 + 7/(x + 1)                                            

Answer:

-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)

Step-by-step explanation:

A:

1.4 - 2.2 = -0.8

B:

-0.75 - 1.5 = -2.25

C:

-0.2 - 1.8 = -2

Answer:

A. 1.4 - (-0.8) = 2.2

B. -0.75 - (-2.25) = 1.5

C. -0.2 - (1.6) = -1.8

Step-by-step explanation:

i just took the test on edge, and got it right (pls mark me as brainliest)

Answer:

The domain of this exponential function is (all real numbers).

Step-by-step explanation:

The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.

I hope this helps!

Answer:

3840

Step-by-step explanation:

320 boxes; 12 donuts in each box

This is a multiplication problem.

320 × 12 = 3840

Answer: 3840

Answer: Milligram is the smallest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1/4 yard long, area is 1/3 and we have to find the width so:

1/3(area) divided by 1/49(length) would get you your width

The shape of the cross-section resulting from the cut is Rhombus.

Given that,

All the edges of the object in the diagram are equal in length.

The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

We have to determine,

What is the shape of the cross-section resulting from the cut?

According to the question,

All the edges of the object in the diagram are equal in length.

The length of all edges is equal in the rhombus.

The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.

Moreover, the area of the rectangle formed in this case will be half of the rhombus.

Hence, The shape of the cross-section resulting from the cut is Rhombus.

For more details refer to the link given below.

https://brainly.com/question/18660021

Answer: C. A rhombus

Step-by-step explanation:

Answer:

  x=100

Step-by-step explanation:

2x + 100 = 300

    -100    -100

---------------------

     2x =  200

     ----    -----

      2       2

       x=100

Answer:

1.39×10^6

Step-by-step explanation:

Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use

Answer:

3

Step-by-step explanation:

-6+9=3

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: r = 5[/tex]

Step-by-step explanation:

[tex]7 + 4(r + 3) = 9r - 6[/tex]

[tex]7 + 4r + 12 = 9r - 6[/tex]

[tex]19 + 4r = 9r - 6[/tex]

[tex]19 + 9r = - 6[/tex]

[tex]4r - 9 = - 6 - 19[/tex]

[tex] - 5r = - 6 - 19[/tex]

[tex] - 5r = - 25[/tex]

[tex] = \: \: \: \: r = 5[/tex]

well there is -4 which is the oppsite of positive 4 if that what you ment

Answer:

hear is ur answer....

Step-by-step explanation:

Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.

Answer:

1728

Step-by-step explanation:

27

64

-----------

108

1620

1728

Answer:

1728

Step-by-step explanation:

27•64= 0108+162 =1728

Answer:

12*2=24

Step-by-step explanation:

Answer:

110

Step-by-step explanation: