Solve for l:
[tex]v = \frac{ \sqrt{l + t} }{2 \sqrt{l} } [/tex]
.....​

Answers

Answer 1

Answer:

l = t/4v² - 1

Step-by-step explanation:

Given the expression

v = √l+t/2√l

We are to make l the subject of the formula as shown;

Cross multiply

2v√l =  √l+t

Square both sides

(2v√l)² =  (√l+t)²

4v²l = l+t

t = 4v²l - l

t = l(4v² - 1)

Divide both sides by 4v² - 1

t/4v² - 1 = l(4v² - 1)/4v² - 1

t/4v² - 1 = l

Swap

l = t/4v² - 1

Hence the required expression for l is t/4v² - 1


Related Questions

Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214?

Answers

Answer:

To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.

If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.

If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.

If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.

Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.

Find the circumference of a circle with a diameter of 50 centimeters

Answers

Answer:

157.08 is the circumference. Hope it helps you

Step-by-step explanation:

Please Help Help Help

Answers

EDCB is a rectangle, so:

ED = BC = 12

DC = EB = 29

We know that,

= AB = AE + EB

= 34 = AE + 29

= 34 - 29 = AE

= 5 = AE

Now, in triangle EAD, by pythagonas theoram:

= H² = P² + B²

= H² = 5² + 12²

= H² = 25 + 144

= H = √169

= H = 13

So, AD = 13 cm

_________________

Simpooooool

Tom's toy box is shown below. The toy box is shaped like a rectangular prism: It has 5 wooden faces and is open on the top.

What is the total surface area of the 5 fades of the toy box that are wooden?

O A 1,100 squares inches

O B 3,009 square inches

O C 900 square inches

O D 255 square inches

Don’t answer if you don’t know, and whoever answers correctly will get Brainliest. :)

Answers

Answer:

O C 900 square inches

How many pints are needed for 2 3/4 pots of soup?

Answers

Answer:

1.38

Step-by-step explanation:

2 cups is one pint so if 3/4 is .38 then you would put it together to get 1.38

Amanda is training for a marathon. She runs 7 1/2 miles every 3 days. At this rate, how many miles will she run in 36 days?​

Answers

Answer:

She would run 90 miles in 36 days

You would start off by doing 7.5 ÷ 3 to get 2.5

Then you multiply 2.5 by 36 to get 90

Equations of Exponential Functions

Find the missing values for the exponential function represented by the table below.

a. 7.5
5
b. -16.875
25.3125
c. 16.875
25.3125
d. -16.875
-25.3125

Please select the best answer from choices provided

Answers

Answer:

C. 16.875

   25.3125

Step-by-step explanation:

I calculated it logically

approximate v46 to the nearest hundredth ​

Answers

Answer:

6.78

Step-by-step explanation:

Triangle ABC has vertices A(-3, 3), B(2, 5), and C(4, - 3).
a. What is the x-coordinate of the centroid of triangle ABC?
(-,5/3)

Answers

Answer:

Step-by-step explanation:

To find the x-coordinate of the centroid of triangle ABC, we need to take the average of the x-coordinates of the three vertices of the triangle. The x-coordinates of the vertices of triangle ABC are -3, 2, and 4, so the average of these three numbers is (-3 + 2 + 4) / 3 = (3) / 3 = 1.

Therefore, the x-coordinate of the centroid of triangle ABC is 1. The correct answer is (-,1). The given answer (-,5/3) is not the correct x-coordinate of the centroid.

convert 84min into fraction

Answers

Answer:

[tex]\frac{7}{5}[/tex]

Step-by-step explanation:

I am thinking that you mean 84 minutes compared to an hour?

[tex]\frac{84}{60}[/tex] ÷ [tex]\frac{12}{12}[/tex] = [tex]\frac{7}{5}[/tex]

22 is 22% of?

How do I find the answer?

Answers

Answer:

4.84

Step-by-step explanation:

Do 100 divided by 22% that's gonna give you 0.002 so then you drop the two zeros after the decimal and you gonna have 0.22 then do 0.22 times 22 and you gonna get your answer 4.84.

NEED HELP FAST WILL GOVE THE BRAINLEST

Answers

Answer:

us my understanding the answer is B

Step-by-step explanation:

y=8x-3

8x-y=3

3/8

y=8x+9/5

0=8x9/5

x=9/40

A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above

Answers

9514 1404 393

Answer:

  y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m' = -1/(1/3) = -3

A perpendicular line is ...

  y = -3x

Equations of Exponential Functions

The Shop and Save is starting their annual clearance and the store has sent out to all their customers a coupon book offering a variety of saving on their products. The LCD television that you have wanted was reduced by 35% prior to the annual clearance. In addition, the coupon book has a 10% off coupon for the LCD television. Determine what you would pay after applying the discounts given that the price of the LCD television was $1,325. Round your answer to the nearest cent.

a. $728.75 c. $596.25
b. $775.13 d. $46.38

Please select the best answer from the choices provided

Answers

Answer:

B. $775.13

Step-by-step explanation:

I calculated it logically

Find (f•g)(1)
f(x)=x²-1
g(x) = √x

Answers

The answer to the stated domain range puzzle is 0.

What exactly are a domain and range?

both domain and range. The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x).  The values that the function outputs when we enter an x value are in this set.

What do a function's domain and range consist of?

The collection of all possible inputs and outputs constitutes a function's domain and range, respectively. Important features of a function are the domain and range.

According to the given information:

(f(g)(x) = (√x)² - 1

(f(g)(x) = x - 1

(f(g)(x)(1)  = 1 - 1 = 0

To learn more about domain and range visit:

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Which graphs show continuous data?


Select each correct answer.

HELP ME PLEASE!!!

Answers

Answer: the bottom two graphs show continuous data

Step-by-step explanation:

Pyramid A is a right square pyramid with a height of 133m and a square base with a perimeter of 492m. Pyramid B has a square base with a perimeter of 592m and a height of 247m. Which pyramid has the greater volume and by how many times as​ great?

Answers

9514 1404 393

Answer:

  Pyramid B is 2.6888 times the volume of pyramid A

Step-by-step explanation:

The volume is proportional to the height, and to the square of the linear measure of the base.

Then the ratio of volumes will be ...

  B/A = (592²·247)/(492²·133) = 86564608/32194512 ≈ 2.6888

Pyramid B has the greater volume by a factor of about 2.6888.

_____

Additional comment

The actual volumes in cubic meters will be 1/48 of the numbers we used in the ratio above.

If you recall that the side length is related to the perimeter by ...

  P = 4s   ⇒   s = P/4

and the volume is ...

  V = 1/3s²h

Then you have ...

  V = 1/3(P/4)²h = 1/48·P²h . . . . . . P²h is the number we used above

Which type of transformation is represented by the following two angles?
*******Only answer if u know it please*****

Answers

Answer:

Dilation

Step-by-step explanation:

Dilation becuase the side lengths expand and produce non rigid motion and dilation is the only non rigid transformation.

Answer:

its a dilation

Step-by-step explanation:

A dilation is a transformation that produces the same shape as the original but of a different size

Tamara uses 8.5 of blue paint and white paint to paint her bedroom walls. Three fourths of this amount is blue paint, and the rest is white paint . How many pints of white paint did she used to paint her bedroom walls

Answers

The amount of white paint used by Tamara to paint the bedroom walls is 2.125.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Total amount of paint = 8.5

Three fourths of this amount is blue paint.

Amount of blue paint = (3/4) × 8.5 = 6.375

Rest is white paint.

Amount of white paint = Total paint - Amount of blue paint

                                     = 8.5 - 6.375

                                     = 2.125

Hence the amount of white paint used to paint bedroom walls is 2.125.

To learn more about Fractions, click on the link :

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for 20 please help TT

Answers

Answer:

a

Step-by-step explanation:

Pls help I’ll brainlest and add extra points

Answers

Answer:

26. D) $252

27. A) -6.7 + 6.8

Step-by-step explanation:

26. 400 * 0.3 = 120

400 - 120 = 280

280 * 0.1 = 28 (because the 10% is additional, cannot add it to the original 30%)

280 - 28 = 252

27. -4.5 + 4.4 = -0.1

- 6.7 + 6.8 = 0.1

-0.1 + 0.1 = 0

A sailfish can swim u to 68 miles per hour. At this rate, how far can a sailfish swim in 1/4 hour?
A. 34 mi.
B. 27.2 mi.
C. 17 mi.
D. 10.2 mi.

Answers

Answer:

C. 17 miles

Step-by-step explanation:

Divide 68 by 4 since it is a fourth of an hour

Number that appears the most in a given set of data
A) Mean
B.) Median
C) Mode
D) Range

I'll give brainliestttt​

Answers

The answer is: Mode.
It appears most in a given set of data.

PLEASE HELP, EXPLAIN HOW YOU GOT YOUR ANSWER AFTER PLEASE .

Answers

Answer:

Area = 288 m²

Step-by-step explanation:

The area of the shape given = area of the square + area of the triangle

= (side length)² + ½*base*height

side length = 16 m

base = 16 - 8 = 8 m

height = 8 m

Plug in the values into the equation

Area = 16² + ½(8)(8)

Area = 256 + 32

Area = 288 m²

8.
A train from London arrives in Crewe at 2210. The train takes 1 hour and 30 minutes.
What time did the train depart London?

Answers

Answer:

2040

Step-by-step explanation:

6. Which fraction is equal to 30%

Answers

3/10 is equal to 30%.

Answer:

3/10

Step-by-step explanation:

Which is not a factor pair of 300

Answers

Answer:

Step-by-step explanation:

So, the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300. [Note: If we divide 300 by 21, we get the quotient and remainder as 14 and 6, respectively. So, 21 is not a factor of 300.

HURRY what is the simplified form of the following expression? 25xy sqrt 81/625 x^2 y^2

Answers

Answer:

D

Step-by-step explanation:

edge 2021

Answer:

D on Edg 2021

Step-by-step explanation:

when you take everything out of the sq rt, [tex]\sqrt{81/625}[/tex] turns into 9/25, and x^2 and Y^2 turn into simply x and y. Then you multiply. 25xy times 9/25xy. 25 cancels out and both y and x are squared and you're left with 9x^2y^2

100 PTS
Use the table to determine the appropriate model of the function,

x 0 1 2 3 4
f(x) 3 7 29 87 199
a. linear
b. quadratic
c. cubic
d. exponential

Answers

Answer:

The answer is D. An Exponential Function.

Step-by-step explanation:

So the table is setup as;

x :   0     1      2     3      4

f(x): 3    7     29    87    199

If you plot the points on the coordinate plane, the value of x increases, and value of y increases .

It is not linear, because slope between two points is not the same, so you can rule that one out.

It´s not quadratic or cubic, because it is not intercepting the x axis.

So, it can only be D, an exponential function since we ruled out every other option.

I hope this helps :))

Please help ill give u brainlest 30 points !!

Paige had a lemonade stand. She sold s small cups of lemonade for $1 each, m medium cups for $3 each, and l large cups for $5 each. At the end of the day, she had sold 6 medium cups, 9 large cups, and 12 small cups of lemonade.

Which expressions show how much money Paige made selling lemonade? Select all that apply.

A. 12s + 9m + 6l

B. 1s + 3m + 5l

C. $75

D. $93

Answers

Answer:

B

Hope this helps!

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