[tex]y = \frac{qx}{p} [/tex]

Write x in terms of p,q and y​

Answer:

45

Step-by-step explanation:

9x5

9514 1404 393

Answer:

  K+1 ⇒ (K+1)² = K² +2K +1

Step-by-step explanation:

Your first answers are correct. The sum of K odd numbers is K². Replacing K with K+1 in this statement gives you ...

  The sum of K+1 odd numbers is (K+1)² = K² +2K +1.

Answer:

a)

(i) 5.8 hours

(ii)  6.5 hours

(iii) 6 hours

(iv) 6 hours

b) 180 hours

Answer:

38

Step-by-step explanation:

Angle 6 is alternate to the angle that is given as 38 degrees because line L is parallel to line M so their measure is equal.

Answer:

G = Fr² / Mm

Step-by-step explanation:

Given:

F = GMm / r²

Where,

F = Force of the two objects

M = mass of object 1

m = mass of object 2

G = constant

r = distance between the objects

Solve the formula for G.

F = GMm / r²

Cross product

F * r² = GMm

Fr² = GMm

Divide both sides by Mm

G = Fr² / Mm

Answer:

Step-by-step explanation:

5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition

5a -5 -15 = 3a +6 + 4, isolate the variable on one side

5a -3a = 6 +4 +5 +15, combine like terms

2a = 30, divide both sides by 2

a= 15

Answer:

15 pages

Step-by-step explanation:

let x be the number of pages

7x-21 = 11x-81

4x = 60

x = 15

Let S be the sum. So you have

S = 1 + 2 + 3 + … + 2004 + 2005 + 2006

as well as

S = 2006 + 2005 + 2004 + … + 3 + 2 + 1

Then

2S = (1 + 2006) + (2 + 2005) + … + (2005 + 2) + (2006 + 1)

2S = 2007 + 2007 + … + 2007 + 2007

2S = 2006 × 2007

S = (2006 × 2007)/2

S = 2,013,021

which makes the last two digits 21.

Answer:

-10 = x

Step-by-step explanation:

5=7+x/5

Subtract 7 from each side

5-7=7-7+x/5

-2 = x/5

Multiply each side by 5

-2 *5 = x/5 *5

-10 = x

Answer:

-1

Step-by-step explanation:

lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.

So the limit is 4-5=-1

Answer:

[tex]{ \tt{( - 6 {s}^{2} + 12s - 8) - (3 {s}^{2} + 8s - 6) }} \\ = { \tt{ - 9 {s}^{2} + 4s - 2 }}[/tex]

Answer:

4s - 2 - 9s²

Step-by-step explanation:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

= -6s²+ 12s - 8 - 3s²- 8s + 6

= 12s - 8s - 8 + 6 - 6s² -3s²

= 4s - 2 - 9s²

Answer:

D.-3,-1 for 4x-2y=10 y=2x-5

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

Answer:

July 4th will fall on Sunday

The date, July 4 will be Friday, the correct option is D.

Calendars represent an year of 12 months, each month has 30 or 31 days, exceptionally February has 28 days.

If today is Tuesday, May 6,

Every 7th day is going to be a Tuesday .

From May 6 to July 4, the number of days is 59

Hence we divide 59 by 7. Quotient = 8 Remainder = 3

7 x 8 = 56

56 th day is Tuesday

57 th day is Wednesday

58th day vis Thursday

59th day is Friday

To know more about Calendars

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Answer:

8 units

Step-by-step explanation:

Area of a rectangle = Width multiplied by Length

Substitute in all the known numbers into this formula to get

72 = (9) × [tex](2x+4)[/tex]

Solve the equation for x, to find out the length

[tex]9(2x+4)=72[/tex]

[tex]2x+4=72/9[/tex]

[tex]2x+4=8[/tex]

[tex]2x=8-4[/tex]

[tex]2x=4[/tex]

[tex]x=4/2[/tex]

[tex]x=2[/tex]

Length of the rectangle = [tex](2x+4)[/tex]

[tex]2(2)+4[/tex]

[tex]4+4=8[/tex]

Answer:

6.045 * 10 ^40 ergs

1.8 * 10^-2 mm

Step-by-step explanation:

3.9 ⋅ 10^33 erg per second  * 1.55 * 10 ^7 seconds

3.9 * 1.55  * 10^(33+7)

6.045 * 10 ^40 ergs

Human hair is around .1 mm thick

.1  = 1 * 10 ^ -1

This is closer to 1.8 * 10^-2  

1.8 *10^2 = 180 mm which is too thick  This is approximately 18 cm

Answer:

6.045 * 10 ^40 ergs

1.8 * 10^-2 mm

Step-by-step explanation:

3.9 ⋅ 10^33 erg per second  * 1.55 * 10 ^7 seconds

3.9 * 1.55  * 10^(33+7)

6.045 * 10 ^40 ergs

Human hair is around .1 mm thick

.1  = 1 * 10 ^ -1

This is closer to 1.8 * 10^-2  

1.8 *10^2 = 180 mm which is too thick  This is approximately 18 cm

Step-by-step explanation:

Angle CBD= 81°

I hope it helps you...

Answer:

81

Step-by-step explanation:

∠CBD is the exterior angle of  the ΔABC.

Exterior angle property:

Exterior angle equals the sum of opposite interior angles.

∠CBD = ∠ABC + ∠ACB

           = 53 + 28

           = 81°

Answer:

x = 11√3

y = 11

Step-by-step explanation:

Let 60 be the reference angle

sin 60 = p/h

√3/2 = x/22

or, 22√3 = 2x

or, x = (22√3)/2

so, x = 11√3

now

[tex]h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11[/tex]

Answer:

El espesor de un chip es de 0.12mm

Y el diámetro de un átomo de cobre, mide aprox:

0.00000000133 m

Queremos saber cuantos átomos deberemos alinear de tal forma que la "cadena" de átomos de cobre mida 0.12mm

Eso es equivalente a ver cuantas veces entra 0.00000000133 m en 0.12mm

Primero, escribamos ambos valores en las mismas unidades, sabiendo que:

1m = 1000mm

Podemos reescribir:

0.00000000133m = 0.00000000133*(1000 mm) = 0.00000133mm

Entonces tenemos que ver cuantas veces entra 0.00000133mm en 0.12mm

Esto sera igual al cociente entre 0.12mm y  0.00000133mm, esto es:

N = (0.12mm)/(0.00000133mm) = 90,225.6

Redondeamos al próximo número entero:

N = 90,226

Esa es la cantidad de átomos que se necesitan.

Answer:

15+2i

Step-by-step explanation:

Hi there!

We are given the following expression:

(7-4i) + (8+6i)

And we want to write it as a complex number in standard form

Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.

We can open up the parentheses on the expression

7-4i+8+6i

Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)

15+2i

The complex number is now in standard form

Hope this helps!

Answer:

[tex]D. \\x>\frac{3}{2}[/tex]

Step-by-step explanation:

12(1/2x - 1/3) > 8 - 2x

6x - 4 > 8 - 2x

6x + 2x - 4 > 8 - 2x + 2x

8x - 4 > 8

8x - 4 + 4 > 8 + 4

8x > 12

8x ÷ 8 > 12 ÷ 8

x  > 1.5

[tex]n = \frac{6}{m + 1} [/tex]

Hope it helps you...

The value of n is n= 6/( m+1).

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

mn - 3 = 3 - n

mn + n = 6

n(m+ 1) =6

n= 6/( m+1)

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ANSWER: [tex]\frac{8x^2}{3} + \frac{32x}{9} +\frac{5}{27} +\frac{10}{27(6x-2)}[/tex]

GOOD LUCK, I hope this helped!

Answer:

See explanation

Step-by-step explanation:

The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.

A similar question that can be found online is:

[tex]8x - 8 = 4x + 12[/tex] --- to solve for x

First, collect all like terms

[tex]8x - 4x = 8 + 12[/tex]

Distribute the expression on the left-hand side

[tex]x(8 - 4) = 8 + 12[/tex]

[tex]x * 4 = 8 + 12[/tex]

Simplify like terms

[tex]x * 4 = 20[/tex]

Divide both sides by 4

[tex]x = 5[/tex]

Answer:

11 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 45 = x /22

22 sin 45 = x

22 ( sqrt(2)/2) =x

11 sqrt(2)

The legs are equal since the  base angles are equal

Answer:

A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!

Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.

Step-by-step explanation:

Answer:

3 each

Step-by-step explanation:

36 / 12 = 3

.................................................

Answer:

[tex]\mu = 47.17[/tex]

[tex]\sigma = 2.31[/tex]

Step-by-step explanation:

Solving (a): The population mean

This is calculated as:

[tex]\mu = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\mu = \frac{48.2+ 47.8 +45.6 +47.2 +49.3+51.2 +44.2 +45.4 +49.2 +43.6}{10}[/tex]

[tex]\mu = \frac{471.7}{10}[/tex]

[tex]\mu = 47.17[/tex]

Solving (b): The population standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\frac{\sum (x - \mu)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(48.2-47.17)^2 + (47.8-47.17)^2 +.........+(43.6-47.17)^2}{10}}[/tex]

[tex]\sigma = \sqrt{\frac{53.521}{10}}[/tex]

[tex]\sigma = \sqrt{5.3521[/tex]

[tex]\sigma = 2.31[/tex]

Answer:

A.

[tex]f(x) = \frac{ \sqrt[3]{x} }{5} \: { \bf{and}} \: g(x) = 5 {x}^{3} [/tex]

Step-by-step explanation:

Consider f(x) as the original function:

[tex]{ \tt{f(x) = \frac{ \sqrt[3]{x} }{5} }}[/tex]

Let the inverse be m:

[tex]{ \tt{g(x) = f {}^{ - 1} (x) = m}} \\ { \tt{m = \frac{ \sqrt[3]{x} }{5} }} \\ { \tt{5m = \sqrt[3]{x} }} \\ { \tt{x = 5m {}^{3} }} \\ therefore : \\ { \tt{g(x) = 5 {x}^{3} }}[/tex]