Make r the subject - picture underneath

Make R The Subject - Picture Underneath

Answers

Answer 1

Answer:

The answer is r = 6a / (5m² - 1).

Step-by-step explanation:

The steps are :

[tex]m = \sqrt{ \frac{6a + r}{5r} } [/tex]

[tex] {m}^{2} = \frac{6a + r}{5r} [/tex]

[tex]5r {m}^{2} = 6a + r[/tex]

[tex]5r {m}^{2} - r = 6a[/tex]

[tex]r(5 {m}^{2} - 1) = 6a[/tex]

[tex]r = \frac{6a}{5 {m}^{2} - 1 } [/tex]

Answer 2

Answer:

r = [tex]\frac{6a}{5m^2-1}[/tex]

Step-by-step explanation:

Given

m = [tex]\sqrt{\frac{6a+r}{5r} }[/tex] ( square both sides )

m² = [tex]\frac{6a+r}{5r}[/tex] ( multiply both sides by 5r )

5rm² = 6a + r ( subtract r from both sides )

5rm² - r = 6a ← factor out r from each term on the left side

r(5m² - 1) = 6a ← divide both sides by (5m² - 1)

r = [tex]\frac{6a}{5m^2-1}[/tex]


Related Questions

The mean number of books read
last year by a group of students is
normally distributed with a mean of 10
and a standard deviation of 6. If Austin
is 0.5 standard deviations below the mean
and Kaleigh is 2 standard deviations
above the mean, how many more books
did Kaleigh read than Austin?

Answers

Answer:

I thing Kaleigh read 1.5 more than Austin

Step-by-step explanation:

Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work

Answers

Answer: jimmy needs a new job

Step-by-step explanation:

Will mark brainliest.
What is pi?

Answers

Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

A line intersects the point (-11, 4) and has a slope of -2. What are the inputs to the point-slope formula? y - [?] = [](x-[])​

Answers

y - 4 = -2 ( x - ( -11)) which would simplify to y - 4 = -2 ( x + 11) !!

why does a thick glass bottle crack when boiling water is suddenly poured inside it​

Answers

Answer:

The glass expands

Step-by-step explanation:

Molecules move faster and spread out more in high temperatures. In the tightly packed glass, they don't have much space to expand, so the glass cracks

Pls help I need this answer asap I got 10 min left :(

Answers

Answer:

Step-by-step explanation:

Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question

PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3

Answers

Answer is 7cm i think

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm

Answers

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

[tex]y+z>x[/tex]

[tex]4+z>15[/tex]

[tex]z>15-4[/tex]

[tex]z>11[/tex]               ...(i)

It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.

Case II: Let z be the largest side, then

[tex]x+y>z[/tex]

[tex]15+4>z[/tex]

[tex]19>z[/tex]               ...(ii)

From (i) and (ii), we get

[tex]11<z<19[/tex]

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.

Please help I don’t get it

Answers

Answer:

4.718592

Step-by-step explanation:

To get to -14.4 from 18 you multiply 18 x 0.8

Repeat that until you get to the 7th term

18 (1st)

18 x 0.8 = -14.4 (2nd)

-14.4 x 0.8 = 11.52 (3rd)

11.52 x 0.8 = 9.216 (4th)

9.216 x 0.8 = 7.3728 (5th)

7.3728 x 0.8 = 5.89824 (6th)

5.89824 x 0.8 = 4.718592 (7th)

What’s the missing side length?

Answers

Answer: 14cm

Steps:
6cm + 8 cm = 14cm

Answer:

14 cm

Step-by-step explanation:

this is because of the far left side of the shape being 6cm and as well as with the 8 cm from one side of the shape being another component to the origin of the side length, this would give us the equation 6 + 8 with out sum coming out to 14 cm being identified as the right unknown length.

Which of the lines below is perpendicular to y= -2/5
A.y=-5/2x-9
B.y=-2/5x+8
C.y=5/2x+1
D.y=2/5x-3

Answers

A had on a test and was right

Which product of prime polynomials is equivalent to 3x4 – 81x?

3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)

Answers

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

x = 5
x + y = 12

help please

Answers

Answer:

y = 7

Step-by-step explanation:

(5) + y = 12

12 - 5 = 7

The data represents the height, in feet, of various buildings. Find the Interquartile Range.

60, 58, 54, 56, 63, 65, 62, 59, 56, 58

Plsss helpppppp :(
This is a testt!

Answers

Answer: 6

Step-by-step explanation:

three consecutive multiples of 2 is 36 then the multiples are​

Answers

Answer:

9, 12, 15

A multiple of 3 can be written 3n where n is a positive integer.

So 3 consecutive multiples of 3 can be written

3n,3n+3,3n+6

The sum of these is 36

3n+3n+3+3n+6=36

9n+9=36

Divide through by 9

n+1=4

n=3

If n=3 then 3n=9 and the three consecutive multiples of three are 9, 12 and 15 which do indeed total 36

Step-by-step explanation:

Hope it is helpful....

A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of fabric does the costume designer need to make all the costumes?

Answers

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А

Answers

Answer:

angle B = 66.42

Step-by-step explanation:

cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos-1 B = [tex]\frac{2}{5}[/tex]

cos-1 B = 0.40

cos-1 of 0.40 is 66.4218

round to the nearest hundreth = 66.42

angle b = 66.42

2) Solve the system of equations using substitution.
2x -- 9y = 14
x = -6y +7

Answers

Answer:

x= 7, y=0 (7,0)

Step-by-step explanation:

x = 7 and y = 0 those are the answers

Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.

Answers

Answer: Weight of the remaining block of wood =400g

Step-by-step explanation:

Total Weight of five(5) blocks = 3kg = 3000g

Weight of 4 out of the 5 blocks = 650x 4= 2600g

Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks

= 3000g-2600g

=400g

Pls help if you know-
Suzie is baking blueberry pies to sell at her bakery. She starts with 9 cartons of blueberries, of which she uses 2/3 for the first batch of pies. How many cartons of blueberries does Suzie use for the first batch of pies?

Answers

Answer:

.

Step-by-step explanation:

if bob had 5 apples and gave Samatha 2 apples how much does he have

Answers

Answer:

3

Step-by-step explanation:

5-2=3

Answer:

According to my calculations...3

Step-by-step explanation:

If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE

Answers

Answer:

this hurts my brain x_x my non-existent brain....

i got you
1) Diameter = 16
Circumference = 50.25
Area = 200.96
2) Radius = 12
Circumference = 75.36
Area = 452.16
3) Diameter = 12
Circumference = 37.68
Area = 113.04
4) Radius = 3
Circumference = 18.84
Area = 28.26
5) Diameter = 28
Circumference = 87.92
Area = 615.44
6) Radius = 5
Circumference = 31.4
Area = 78.5
7) Radius = 16
Circumference = 100.48
A= 803.84
8) Diameter = 38
Circumference = 119.33
Area= 1133.54
9) Radius = 15
Circumference = 35.1
Area= 706.5

HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!

Answers

If u want to show the (0,2) then this how u do it .

plzzzzzzzzzzzzz helpppp!!!!!!!!

Answers

Answer: 1. 34 degrees+34 degrees=68 180-68=112 so x=112 degrees

2. 84+22=106 180-106=74 so x=74 degrees

3. 126+20=146 180-146=34 so x=34 degrees

4. both angles on both sides are 40 so 40+40=80 180-80=100 so x=100 degrees

Step-by-step explanation: plz mark me brainliest [tap the crown on the bottom of an answer, if there isn't one then reload the page (there has to be 2 people who answered)]

A rectangle prisms base is 8 feet long. It is 2 1/2 times taller than it is long and 1/2 wide as it is tall. What is the volume of the rectangular prism?

Answers

Answer:

1600 cubic feet

Step-by-step explanation:

8 x 2 1/2 = 8 x 2.5 = 20

20 divided by 1/2 = 10

8 x 10 x 20 = 1600

evaluate the expression
I 13 I + I -2 I

Answers

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15

An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?

Answers

Answer:

[tex]23^{o}[/tex] and [tex]23^{o}[/tex]

Step-by-step explanation:

An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures  134°, then;

x + x +  134° = [tex]180^{o}[/tex]

2x + 134° = [tex]180^{o}[/tex]

2x = [tex]180^{o}[/tex] - 134°

    = 46

x = [tex]\frac{46}{2}[/tex]

  = [tex]23^{o}[/tex]

x = [tex]23^{o}[/tex]

The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].

Plz help I need it I don’t understand how to do these problems!

Answers

1. D. Rx9-5
2. B. F-5
3. B. Qx5+6
4. D. Tx3
5. B. Nx3+9

Write the center and radius for the following circles

Answers

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

what is the radius of 28.26 cm

Answers

18.84

Hope this helps you!

Answer:

18.84

Step-by-step explanation:

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