a varies jointly as the square root of the product of b and c. if a = 24 when b = 8 and c= 2 , find v when a = 48 and c = 4​

Answers

Answer 1

Answer:

b = 16

Step-by-step explanation:

× stands for varies

a × √bc,

a = k√bc,

when a = 24, b = 8, c= 2

a = k√bc

24 = k√8•2

24 = k√16

24 = 4k

dividing both sides by 4

k = 24/4

k = 6

a = 6√bc (standard equation)

find b when a = 48 and c = 4

a = 6√bc

48 = 6√b•4

dividing both sides by 6

48/6 = √b•4

8 = √b•4

squaring both sides

8^2 = b•4

64 = b•4

b = 64/4

b= 16.

Thrrefore when a = 48, c = 4, b = 16.


Related Questions

Check whether A{x:x2 =25 and 6x= 125} is an empty set or not​

Answers

Given:

The set is

[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]

To find:

Whether the given set is empty or not.

Solution:

A set is called empty set if it has no elements.

We have,

[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]

We need to find the solutions of [tex]x^2=25[/tex] and [tex]6x=125[/tex]. The common solutions of these two equations are the elements of given set.

[tex]x^2=25[/tex]

[tex]x=\pm \sqrt{25}[/tex]

[tex]x=\pm 5[/tex]

[tex]x=5,-5[/tex]           ...(i)

And,

[tex]6x=125[/tex]

[tex]x=\dfrac{125}{6}[/tex]

[tex]x\approx 20.83[/tex]         ...(ii)

From (i) and (ii) it is clear that, there is no common value of x which satisfy both equations  [tex]x^2=25[/tex] and [tex]6x=125[/tex].

Since there is no element in set A, therefore, the given get A is an empty set.

4.55 rounded to the nearest hundredth

Answers

Answer:

its still 4.55

Step-by-step explanation:

I dont understand

Answer:

it will still be 4.55

Step-by-step explanation:

did you mean 4.55 rounded to the nearest tenth because then that would be 4.6

hope this helps :) have a nice day !!

Help me pleaseeeeee​

Answers

Answer:

no

Step-by-step explanation:

it would say 5>8

in a bag of marbles 4 are
blue. 5 are white, and 11 are
red. What is the probability of
NOT drawing a red?

Answers

Answer:

3/4 or a 75%

Step-by-step explanation:

image inserted below

Answers

Answer:

you forgot the attachment

Step-by-step explanation:

...

Square A is 3cm long. The scale that maps Square A onto square b is 1:4. What is the length of square B?

Answers

3cm
3 x 4 = 12
3 : 12
The lenght is 12

The length of square B is 12 cm.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, square A is 3 cm long.

The scale that maps square A onto square B is 1:4.

Let the length of square B be x.

1/4 =3/x

x=4×3

x=12 cm

Therefore, the length of square B is 12 cm.

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Simplify the expression: 3x2⋅x2=


a

3x

b

3x4

c

3x2+2

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

If a1 = 4 and an =
- 4 an–1 then find the value of a6.

Answers

Answer: -4096

Step-by-step explanation:

The 6th term of the geometric sequence is; -4096.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given as:

[tex]a_n = a_1q^{n-1}[/tex]

In which a1 is the first term.

For this problem, we have :

The first term is  a1 = 4 and an =- 4 an–1  .

Therefore, the common ratio is q = -4.

Now the 6th term of the sequence is found as :

[tex]a_6 = 4(-4)^{5[/tex]

a_6 = - 4096

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HELP I NEED THIS ANSWER FASTTTTTTTTTTTTTTTTTTTTT MY BRAIN IS ON 1 BRAIN CELL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the theoretical probability that two coins flipped together will both land on tails?

What is the theoretical probability that two coins flipped together will both land on heads?

What is the theoretical probability that two coins flipped together will land on heads and tails?

Answers

Answer:

1.We say a coin is fair if it has probability 1/2 of landing heads up and probability 1/2 of landing tails up. What is the probability that if we flip two fair coins, both will land heads up? It seems plausible that each should be equally likely. If so, each has probability of 1/4.

2.The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25.

3.his states that the probability of the occurrence of two mutually exclusive events is the sum of their individual probabilities. As you can see from the picture, the probability of getting one head and one tail on the toss of two coins is 0

Step-by-step explanation:

Complete the equation for the horizontal line that passes through (11,4)

Answers

The equation is:. Y = 4 .

Is this not 2? I got 2 and it was wrong

Answers

Answer:

Not Proportional

Step-by-step explanation:

Constant of proportionality is what you multiply with x to get y. This is not proportional since its not the same number each time

Answer:

i think its b

Step-by-step explanation:

reason is because 2 divided 2 is not 0 and 6 divided by 2 is not 4

sorry if its wrong ;(

a cylinder has a base diameter of 6 feet and a height of 2 feet . what is its volume in cubic feet, to the nearest tenths place?

Answers

h=2ft
d=6 ft
r=d/2
r=6/2=3ft
V= π•r^2•h
V=3.14•3^2•2
V=3.14•9•2
V=56.52 ft3
V~56.5ft3

The Volume of cylinder in cubic unit is 56.52 feet³.

What is Volume?

'Volume' is a mathematical quantity that displays the amount of three-dimensional space occupied by an item or a closed surface in mathematics.

A volume is just the amount of space taken up by any three-dimensional solid. A cube, a cuboid, a cone, a cylinder, or a sphere are examples of solids.

We have,

Diameter = 6 feet

Radius = 6/2 = 3 feet

Height = 2 feet

So, the Volume of Cylinder

= πr²h

= 3.14 (3)² (2)

= 3.14(9) 2

= 3.14 (18)

= 56.52 feet³

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3x+x+y PLEASE HELP ME ITS DUE TODAY

Answers

Answer:

4x+y

Step-by-step explanation:

Can someone please tell me the answers but also explain how to do it? Thank you

Answers

Answer:

8: 90 degrees, 9: 165 degrees, 6: 81 degrees, 7: angles in the same segment are equal

Step-by-step explanation:

For question 8:

Notice how the line AB just barely touches the edge of the circle. We call this kind of line a tangent. The point O is at the center of the circle so the line OB is a radius. The angle between a tangent and a radius is always 90 degrees, so ABO is 90 degrees.

For question 9:

By the exact same logic as 8, ACO is also 90 degrees. The sum of interior angles in a 4 sided shape (a quadrilateral) is always 360 degrees. This means that 15 + 90 + 90 + x = 360 = 195 + x so x = 360 - 195 = 165

For question 6/7:

We use the theorem that the angles in the same segment are equal. This means that a is 81 degrees.

Select the correct answer.
Consider this absolute value function.



If function f is written as a piecewise function, which piece will it include?

Answers

Answer:

I think it is C sorry if it wrong

Step-by-step explanation:

Answer:

I got A

Step-by-step explanation:

It was on Plato


Learning Task 1
Do the following:
1. Statement: It is an eagle, it's a bird.
Write the following in words:
(a) P-9
(b) 4-P
(c)P9
Are all statements true? If not give a counter example.
2. Statement: All wild animals are mammals.
CL
Write in words:
(a) p 9
(b) 4P (c)p
Are all statements true? If not give a counter example.

Answers

Answer:

yarrak anladın yoksa sıkılırım karşim

a) Simplify
X-2
7(x - 2)2

Answers

Answer:

welp-

7(x - 2)2 = 14(x-2) = 14x-28

I hope this helps:)

-♥

please help i will mark branliest

Answers

Answer: 40yd²

Step-by-step explanation:

SA = All bases added up.

SA = (4 × 2 × 4) + (2 × 2 × 2) = 40yd²

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.



What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

Please help and hurry!! Ty!!

Answers

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

Please help — Which ratio represents cos(c)?

Answers

48/50

option A is correct

to decrease an amount by 73 what single multiplier would you use

Answers

Answer:

0.73

Step-by-step explanation:

73 divide by 100 = 0.73

What is the elimination method in math?

Answers

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Hope this helps!

If you need a more in-depth answer, don't hesitate to ask!

Answer:

elimantion method in elimantion method, the coffecients of the given equations are mulitiplied by a constant to make the coffiecents of one variable  in the same in both equations. Finally any one variable remains at the end, which can then be easily solved.

Step-by-step explanation:

i/3 of 12 = 2/3 of ......
plz help

Answers

Answer:

өтті қысым өзің орында окей

Answer:

ndetlsktsktakfakgskfng

djfkfkckcj

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 6y = -42

Answers

Answer and solution below:

Could anyone help, if you could?

Answers

Answer: Your answer is B! Hope you have an awesome day, and be kind be You!!! <3

Step-by-step explanation: Also, I'm 3D printing the Tesla Cyber truck, and this is the design I have so far. What do you think?

find the volume of this cyilindar

Answers

Answer:

Formula =

[tex]\pi \: {r}^{2} h[/tex]

But there is no picture !!

Answer:

Formulas for calculating the volume of the cylinder:

1) The volume of the cylinder is equal to the production of the base area to a height. 2) The volume of the cylinder is equal to the pi (3.1415) per square of the base radius to height.

WILL GIVE BRAINLIEST, PLEASE HELP MEEEEEEE. 50 POINTS

Answers

Answer:

wat

Step-by-step explanation:

huhhshshshshsshwhbzbzbshszzbzbbzhshsbzbzbzbxb

Answer:

U never posted a question,I'd suggest u do that.

Step-by-step explanation:

a 4 +4a 2 b 2 −2b 4 a, start superscript, 4, end superscript, plus, 4, a, squared, b, squared, minus, 2, b, start superscript, 4, end superscript from -3a^4+5a^2b^2+2b^4−3a 4 +5a 2 b 2 +2b 4 minus, 3, a, start superscript, 4, end superscript, plus, 5, a, squared, b, squared, plus, 2, b, start superscript, 4, end superscript.

Answers

Answer:

- 4a⁴ + a²b² + 3b⁴

Step-by-step explanation:

If I understand this correct the question is:

Subtract    a⁴ + 4a²b² − 2b⁴From       - 3a⁴ + 5a²b² + 2b⁴

Solving by collecting like terms:

-3a⁴ + 5a²b² + 2b⁴  - (a⁴ + 4a²b² − 2b⁴) =-3a⁴ + 5a²b² + 2b⁴  -  a⁴ - 4a²b² + 2b⁴ = - 4a⁴ + a²b² + 3b⁴

Answer:

-4a⁴+a²b²-4b⁴ this is your answer. your question is in mess .I don't understand properly.

a⁴+4a²b²-2b⁴......(1)

-3a⁴+5a²b²+2b⁴.........(2)

subtracting equation 1_from 2

Step-by-step explanation:

-3a⁴+5a²b²+2b⁴

a⁴+4a²b²-2b⁴

-

____________

-4a⁴+a²b²-4b⁴

round 21.24833 to three decimal places

Answers

Answer:

21.248

Step-by-step explanation:

The required value of decimal value 21.24833 to three decimal points is 21.248.

Given that,
21.24833, to round this number to 3 decimal places.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.


What is a recurring decimal?

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

In the question, a decimal value is given, 21.2488, and asked to round this off to 3 decimal places.


When rounding off the number, we check the preceding value neared to which zero either to 0 or 10. if it is near 0 the value before is round off value and the preceding value is near 10 then the value before the proceeding value is increased by 1.


In our case, the value after the third decimal is 3 which is near 0 so nothing will change and the value terminates as it is after 3 decimal points i.e 21.248.

Thus, the required value of decimal value 21.24833 to three decimal points is 21.248.

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8TH GRADE MATH PLEASE HELL

Answers

Answer:

Step-by-step explanation:

x+21=133 (ext.∠)

x=112

Answer:

i cant really see it ?

Step-by-step explanation:

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