Could anyone help me solve this Algebra equation?

Step-by-step explanation:

Let:-

[tex]p = {q}^{r}[/tex]be eqn.1

[tex]q = {r}^{p} [/tex]be eqn.2

[tex]r = {p}^{q} [/tex]be eqn.3

Susbstituting the value of p from eqn.1 to eqn.3 ,

[tex]r = {( {q}^{r} )}^{q} \: = {q}^{qr} [/tex]

Substituting the value of q from eqn.2 to eqn.3 ,

[tex]r = ( { {r}^{p} )}^{qr} = ( {r})^{pqr} [/tex]

[tex] = > {r}^{1} = {r}^{pqr} [/tex]

As bases are same in both the sides of this eqn.

[tex] = > pqr = 1[/tex]

We can easily prove the statement that if [tex]p=q^{r}[/tex], [tex]q = r^{p}[/tex] and [tex]r=p^{q}[/tex] , then pqr=1.

We know that a number's exponent indicates how many times it should be multiplied.

Given that

[tex]p=q^{r}[/tex]

[tex]q = r^{p}[/tex]

Now, [tex]r=p^{q}[/tex]

i.e. [tex]r=(q^{r})^{q}[/tex]

i.e. [tex]r=(q^{qr})[/tex]

i.e. [tex]r=(r^{p})^{rq}[/tex]

i.e. [tex]r=(r^{pqr})[/tex]

i.e. [tex]\frac{r}{r^{pqr}} =1[/tex]

i.e. [tex]r^{1-pqr} =r^{0}[/tex] [Since [tex]a^{0} = 1[/tex], a is any number]

i.e. 1 - pqr = 0

i.e. pqr = 1

We proved our statement that if [tex]p=q^{r}[/tex], [tex]q = r^{p}[/tex] and [tex]r=p^{q}[/tex], then pqr=1.

Learn more about exponents here -

https://brainly.com/question/16499150

#SPJ2

Answer:

100 each bird in store and more than 100 depends price

Answer:

Step-by-step explanation:

Given the equation  of motion;

S = ut + 1/2 at² where;

u is the initial velocity,

a is the acceleration, and;

t is the time.

We are to express a in terms of u, t and S

Making a the subject of the formula;

S = ut + 1/2 at²

S-ut = 1/2at²

2(S-ut) = at²

a = 2(S-ut)/t²

Hence the acceleration a in terms of other variables is expressed as a = 2(S-ut)/t²

Answer:

10

Step-by-step explanation:

first time they spent 11

2nd time was 1 dollar less

since 1 burrito is 2 dollars 3 is 6

and the 4 tacost were 4 dollars

I might be wrong

Answer:

84

Step-by-step explanation:

20 x 4.2=84 also Ms.Yost is a savage

Answer:

3:2

Step-by-step explanation:

For every 3 girls : there is 2 boys, so it's 3:2

3:6 in simplest form=1:2

Answer:

7 points

Step-by-step explanation:

started out w/ 5 points, then loses 8

5 - 8 = -3

gains 10 points

-3 + 10 = 7

Answer:

The slope of the descent is 0.12 rounded to the nearest hundredth

Step-by-step explanation:

The given parameters are;

The vertical distance of descent of Bobba Dean = 1600 feet

The horizontal distance Bobba Dean has moved from the mountain high point = 2.5 miles

1 mile = 5,280 feet

∴ 2.5 miles = 2.5 × 5,280 feet = 13,200 feet

The slope of the descent = (The change in vertical elevation of Bobba Dean)/(The change in horizontal position from the high point of the mountain, by Bobba dean)

∴ The slope of the descent = (1600 feet descent)/(13,200 feet) = 4/33

The slope of the descent = 4/33 = 0.12 rounded to the nearest hundredth

Answer:

y=-3

hiiiiiiiiiiiiii

The value of  sin (345)=  (-sqrt6 + sqrt2)/4=  -0.2588

Trigonometry, the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin (345)

Now, using Trigonometric identity

sin(a+ b)=sin a x cos b+ sin b x cos a

Now, expand 345= 300+ 45

sin(300 + 45)=sin 300 x cos 45+ sin 45 x cos 300

sin(300 + 45)= -√3/2 x √2/2 + √2/2 x  1/2

                     = -√6/4 + √2/4

                    =  -0.2588

Hence, sin (345)=  -0.2588

Learn more about trigonometry here:

https://brainly.com/question/2437614

#SPJ2

Answer:

View the image below

Step-by-step explanation:

Answer:

y-5=1/2(x-(-4))

Step-by-step explanation:

equation of a st. line having slope m= ½ and passing through the point (x1,y1)

Answer:

10:4, 35:14, 55:22

Step-by-step explanation:

Answer:

18+2(4−1)

=18+(2)(3)

=18+6

=24

Answer:

0.01

Step-by-step explanation:

Replace the numbers with the variables

0.5*0.2*0.1

0.01

The evaluation of the given LWH is 0.01.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given the Parameters as;

L = 0.5, W = 0.2, and H= 0.1

Now to find the volume we are asked to calculate the LWH

Now Replace the numbers with the variables

LWH  = 0.5 x 0.2 x 0.1

LWH  = 0.01

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

Step-by-step explanation: Tip 1) Always Start from the More Complex Side.

Example Q1) Prove the identity tan⁴x = sec²x (tan²x-1)+1.

Tip 2) Express everything into Sine and Cosine.

Tip 3) Combine Terms into a Single Fraction.

Tip 4) Use Pythagorean Identities to transform between sin²x and cos²x.

Tip 5) Know when to Apply Double Angle Formula (DAF)

Answer:

19

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Answer:

A, B, E

Step-by-step explanation:

(ames are out of order)

Each bell pepper is $1.25 (5÷4)

Carl: 5×1.25=$6.25 = $6.25

Evan: 6×1.25=$7.50 ≠ $9.00

Greg: 10×1.25=$12.50 = $12.50

Dean: 3×1.25=$3.75 = $3.75

Frances: 1×1.25=$1.25 ≠ 1.50

Answer:

t = − √ 2 a ( − h + 1 )/ a

Step-by-step explanation:

The solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.

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

The equation is given in the question following as:

h = - 1/2at² + 1

We have to determine the solution to the given equation for t as a subject.

As per the given question, we have

⇒ h = - 1/2at² + 1

Rearrange the terms in the above equation,

⇒ 1/2at² = - h + 1

Multiply by 2 both sides of the equation,

⇒ at² = -2(h + 1)

Divided by "a" both sides of the equation,

⇒ t² = -2(h + 1)/a

⇒ t = √-2(h + 1)/a

Thus, the solution to the given equation is t = √-2(h + 1)/a for "t" as a subject.

Learn more about the equations here:

brainly.com/question/13947055

#SPJ2

Answer:

350 millimeters

Step-by-step explanation:

3.5 millimeters x 100 = 350 millimeters

Answer:

Yes, Yes you can, but it is extremely difficult.

Step-by-step explanation

Instead of saying (for example )   [tex]\frac{1}{2}[/tex]

You say 1 divided by 2

Then you get 0.5.

Hope this helps! Tell me if you need more explaination :)

~PumpkinSpice1

Answer:

yes

Step-by-step explanation:

yes

Answer:

ysh what do you need?

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

Answer: b I think

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

Answer:

7.2 minutes

Step-by-step explanation: you divide 20/12 and then you should get 1.6. After that you should multiply 1.6 times the 4.5 minutes and you get 7.2 minutes.