A dripping tap loses 10mL of water every 45 seconds. How much water
will be lost in 6 hours?

Answer:

A) 2.45 seconds

B)[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]

Step-by-step explanation:

Distance [tex]s[/tex] (in feet) from the top of cliff after [tex]t[/tex] seconds when a rock is dropped off the edge of a cliff is given as:

[tex]s(t)=16t^2[/tex]

Distance from the top of cliff to water = 96 ft

To find:

A) When will the rock strike the water

i.e. The time taken by the rock to travel the distance of 96 ft.

B) Table of Average Velocity and approximate velocity at which the rock strikes the water ?

Solution:

A) Given that distance traveled = 96 ft

To find the value of [tex]t[/tex]

Putting the value of [tex]s[/tex] in formula: [tex]s(t)=16t^2[/tex] to find [tex]t[/tex]:

[tex]96 = 16t^2\\\Rightarrow t^2=6\\\Rightarrow \bold{t = 2.45\ sec}[/tex]

B) The velocity at which the rock hits the water:

We need to differentiate [tex]s(t)[/tex] w.r.to [tex]t[/tex] in order to find the velocity at any instant.

[tex]s'(t) =\dfrac{d}{dt}s(t) = \dfrac{d}{dt}(16t^2)\\\Rightarrow v = 2\times 16t^{(2-1)}\\\Rightarrow v = 32t[/tex]

The time taken to reach the water is 2.45 seconds.

Putting [tex]t[/tex] = 2.45 seconds to find the velocity:

[tex]v = 32\times 2.45 = 78.4\ ft/sec[/tex]

Average velocity is given as total distance traveled and total time taken.

[tex]\text{Average Velocity = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

[tex]\text{Average Velocity = }\dfrac{96}{2.45}\\\text{Average Velocity = 39.18\ ft/s}[/tex]

[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]

Answer:

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Step-by-step explanation:

From the given information:

Let consider  x to be the of volume 40% solution

therefore the volume of 5% is said to be:

10 L= 40% solution volume + 5% solution volume

10 L= (x + 5%) solution volume

making 5% solution volume the subject; we have

5% solution volume= 10 L - x

To estimate the value of the volume, we now have:

Volume  of 20% × Concentration of  20%= (Volume of 40%  × concentration40%) + (Volume of 5% × Concentration of 5% )

∴

10L  ×  20%= (x) L × 35% + 10 L × 5%

(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15

[tex]x L = 10L \times \dfrac{15}{35}[/tex]

x = 4.28 L

x [tex]\simeq[/tex] 4.3L

∴

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Answer:

algebraic equation is an equation of the form

Answer:

k = [tex]\frac{11}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3k, 6) and (x₂, y₂ ) = (k, - 5)

m = [tex]\frac{-5-6}{k-3k}[/tex] = [tex]\frac{-11}{-2k}[/tex] = [tex]\frac{11}{2k}[/tex] = 2 ( multiply both sides by 2k )

4k = 11 ( divide both sides by 4 )

k = [tex]\frac{11}{4}[/tex]

Answer:

k= 11

4 because when you find the opposite pro bioniomals with mc² and you add 45 + 3 - 6 / -5

Answer:

22.

Step-by-step explanation:

If lines A and B are parallel to each other, then 4x + 28 = 116.

4x + 28 = 116

4x = 88

x = 22.

Answer:

it is being reflected by the x axis

Answer:

Washington has 159 hits and Sanchez has 155 hits.

Step-by-step explanation:

First, divide 314 by 2 (the number of players), then add 2 for Washington and subtract 2 for Sanchez.

Answer:

Look below

Step-by-step explanation:

1) x = 14, because 14 * 14 = 196

2) x = 3 / 16, because ( 3 / 16 ) * ( 3 / 16 ) = 9 / 256

3) x = 8, because 8 * 8 * 8 = 512

4) x = 4 / 7, because ( 4 / 7 ) * ( 4 / 7 ) * ( 4 / 7 ) = 64 / 343

Answer: 25

Step-by-step explanation:

There are two variables which is u and v and is given that u is 3 and v is 7  so input that into the expression and solve.

2(3)^2 + 7      Solve the exponent first

2(9) + 7      Now multiply then add

18 + 7 = 25

Answer:

Step-by-step explanation:

30b + 53 ≥ 18b - 83

30b - 18b ≥ -83 - 53

12b ≥ -136

b ≥ - [tex]\frac{136}{12}[/tex]

Answer:

B. 200

Step-by-step explanation:

A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.

Non perfect square numbers are 1*2=2,

3*1=3,

5*1=5,

3*2=6,

6*1=6,

7*1=7

Examples of perfect squares:

1*1=1

2*2=4,

3*3=9,

4*4= 16,

5*5=25,

6*6=36,

7*7=49,

8*8=64,

9*9=81,

10*10=100,

11*11=121,

12*12=144,

13*13=169,

14*14=196,

15*15=225 and so on

Answer:

$1615.05

Step-by-step explanation:

First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.

Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.

Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.

113.67h + 660 = 350 + 400 + x

113.67(15) + 660 = 350 + 400 + x

1705.05 + 660 = 750 + x

2365.05 = 750 + x

1615.05 = x

Answer:

I think its 0.89

Step-by-step explanation:

Answer:

Sometimes in math we describe an expression with a phrase. For example, the phrase

"222 more than 555"

can be written as the expression

2 + 52+52, plus, 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).

For example,

"333 more than xxx"

can be written as the algebraic expression

x+ 3x+3x, plus, 3.

But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Step-by-step explanation:

[tex]( {5}^{2} - 1) \div 6 = [/tex]

[tex](25 - 1) \div 6 = [/tex]

[tex]24 \div 6 = 4[/tex]

Note:

Do the square first, and then you do mathematic operation between the parentheses. And, then do the

mathematic operation in the outside of parentheses.

Thank you.

Answer:

Step-by-step explanation:

[tex]\left(5^2-1\right)\div \:6\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5^2-1\right)\::\quad 24\\=24\div \:6\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:24\div \:6\:\\:\quad 4[/tex]

Answer:

the answer is 99

Step-by-step explanation:

Answer:

  95°

Step-by-step explanation:

  ∠SRW is a vertical angle with respect to the one marked 95°. As such, it will have the same measure: 95°.

  m∠SRW = 95°

Answer:

9y+18

Step-by-step explanation:

Distribute the 9 to the terms in the parentheses.

9(y)+9(2)

9y+18

Answer:

the answer is A

Step-by-step explanation:

because if you listen in math class you will understand why-

Answer:

A: x = 0

Step-by-step explanation:

Answer:

exact form:  n=-53/37

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

The properties used:

a) Distributive Property.

b) Combining Like Terms.

c) Division Property of Equality.

Given is an equation 3n-5 = 8(6+5n), we need to solve it by using Property of Equality.

Let's solve the equation step by step:

3n - 5 = -8(6 + 5n)

First, we will distribute the -8 to the terms inside the parentheses:

3n - 5 = -48 - 40n

Next, we can simplify the equation by combining like terms:

3n + 40n = -48 + 5

43n = -43

Now, to isolate n, we will divide both sides of the equation by 43:

(43n)/43 = (-43)/43

n = -1

The solution to the equation is n = -1.

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Answer:

the answer is 40:15

Step-by-step explanation:

Answer:

answer 40:15

Step-by-step explanation:

Isolate the variable with algebraic manipulation.

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]3V=\pi r^2h[/tex]

[tex]\frac{3V}{\pi r^2}=h[/tex]

Hope this helps.

頑張って!

Answer:

one line

two planes intersect in one line

Answer:

[tex] \huge{ \fbox{ \sf{7x - 20}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: 5(3x - 4) - 8x}}[/tex]

[tex] \text{Step \: 1 \: : Distribute \: 5 \: through \: the \: parentheses}[/tex]

[tex] \mapsto{ \sf{5 \times 3x - 5 \times 4 - 8x}}[/tex]

[tex] \mapsto{ \sf{15x - 20 - 8x}}[/tex]

[tex] \text{Step \: 2 \: : Collect \: like \: terms}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \mapsto{ \sf{15x - 8x - 20}}[/tex]

[tex] \mapsto{ \boxed{\sf{7x - 20}}}[/tex]

[tex] \sf{Hope \: i \: helped!}[/tex]

[tex] \sf{Best \: regards!!}[/tex]

~[tex] \rm{TheAnimeGirl}[/tex]

Answer:

its a distributive property..

Answer:

1089

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2

the equation would then be 5x-4x+2=6

add the x's together which turns the equation to 1x+2=6

minus 2 from both sides of the equation which gives you x=4

The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine the value of x in the equation

Given that the equations as :

⇒ 5x − 2(2x − 1) = 6

Open the parentheses and apply the multiplicative property,

⇒ 5x - 4x + 2 = 6

Apply the subtraction operation in the terms of x

⇒ x + 2 = 6

⇒ x = 6 - 2

⇒ x =  4

Therefore, the required value of x would be 4 in the equation

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Answer:

8^18

Step-by-step explanation:

8^15+3

8^18

Answer:

2w

Step-by-step explanation:

that is 2 times w if you want a anwser i would need a definition of w