1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler79 [48]
3 years ago
11

Solve for 'p'

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0
\left(\dfrac{9a^{-4}}{25}\right)^p=\dfrac3{5a^2}
\left(\dfrac9{25a^4}\right)^p=\dfrac3{5a^2}

One way to find p is to notice that the part on the left hand side within the parentheses can be written as a square:

\dfrac9{25a^4}=\dfrac{3^2}{5^2(a^2)^2}=\left(\dfrac3{5a^2}\right)^2

So you could write

\left(\left(\dfrac3{5a^2}\right)^2\right)^p=\left(\dfrac3{5a^2}\right)^{2p}=\dfrac3{5a^2}

Since these two expressions are equal, and the bases are the same, you know the exponents must be equal, with the exponent on the right hand side being 1. So 2p=1, or p=\dfrac12.
You might be interested in
The owner of a triangle lot wishes to fence it along the lot lines. Lot markers at A and B have been located, but the lot marker
Allisa [31]

Answer: well it is um 49.8

Step-by-step explanation:

6 0
3 years ago
A newsboy purchases papers at 10 cents and sells them at 15 cents. However, he is not allowed to return unsold papers. If his da
o-na [289]

Answer: 8.700

Step-by-step explanation:

4 0
3 years ago
Find the equation of the line with slope m=1/4 that contains the point (4,5).
sladkih [1.3K]

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

<h2>y  -  y₁  =  m(x  -  x₁)</h2><h2 />

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

7 0
3 years ago
Erin and dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought
andrezito [222]

Answer:

2

Step-by-step explanation:

I  think below is your full question:

<em>Erin and Dan went shopping at their local store. Erin bought shirts that cost $12 each and spent $18 on accessories. Dan bought the same number of shirts as Erin for $16 each and spent $10 on accessories. </em>

<em>If Erin and Dan were billed the same amount by the store, how many shirts did each of them buy?</em>

Here is my answer

Let  x is number of shirts

Person             COST              

ERIN                12x+18

DAN                 16x+10

Equally Billed    12x+18=16x+10 <=> x = 2

so each of them buy 2 shirts

7 0
3 years ago
7. Triangle FIP was dilated by a scale factor of centered at the origin to
Assoli18 [71]

Answer:

AB is parallel to A'B'.

DO,1/2 (1/2x, 1/2y) =

The distance from A' to the origin is half the distance from A to the origin.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • What is 2x+2x-4+2x+4x
    15·2 answers
  • 15 = 5(1 - m) - 2(1 - m)<br> What is the value for m
    9·1 answer
  • Choose the correct graph to fit the equation.
    13·1 answer
  • How do i solve this question?
    13·1 answer
  • Pleaseeeeee help me asap
    14·1 answer
  • What is equal to 5 - 1 3/10
    10·1 answer
  • The equation of the line that passes through points (0,-7) and (2,-1) is shown below. What value is missing from the equation?
    5·2 answers
  • If a bag contains 12 quarters, 6 dimes, and 18 nickles, what is the part-to-whole ratio of nickles to all coins?
    14·2 answers
  • Find the solution of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B652%20%5Ctimes%20652%7D%20" id="TexF
    5·2 answers
  • A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!