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
nordsb [41]
2 years ago
13

Hello, I do not anderstand this at all. I have been working on radicals and stuff, but this goes way above my head. Please help.

Mathematics
2 answers:
liraira [26]2 years ago
6 0

Answer:

x = \frac{5}{7}

Step-by-step explanation:

We can start simplifying this equation by expanding the parenthesis and cross multiplying.

(7^x)^4 = \frac{7^2 * 7^3}{7^{3x}} = \\\\\\7^{4x} = \frac{7^5}{7^{3x}}\\\\\\7^5 = 7^{7x}\\\\\\

The exponent 5 and 7x are equal:

\longmapstoDivide both sides by 7

5 = 7x\\\\x = \frac57

-Chetan K

Nostrana [21]2 years ago
5 0

Answer:

  • 5/7

Step-by-step explanation:

<u>Use identities:</u>

  • (a^b)^c = a^{bc}\\a^ba^c=a^{b+c}\\a^b/a^c=a^{b-c}\\a^b=a^c -->b = c

<u>Solve as below:</u>

  • (7ˣ)⁴ = 7² · 7³ / 7³ˣ
  • 7⁴ˣ = 7⁵ / 7³ˣ
  • 7⁴ˣ = 7⁵ ⁻ ³ˣ
  • 4x = 5 - 3x
  • 4x + 3x = 5
  • 7x = 5
  • x = 5/7
You might be interested in
Show work. How do you solve for x degree if the hyp= 7 and the opp= 4? (round to the nearest degree)
Stolb23 [73]
So we have the opp and hyp, use sine.

sinx=O/H
sinx=4/7
inverse sine to isolate x.
x=sin⁻¹(4/7)
x=34.84
3 0
3 years ago
En una urna hay 200 esferas, el 25% son rojas, 1/4 son amarillas, la mitad de lo que queda son azules y el resto es verde. Calcu
masha68 [24]

Answer:

I no speak spanish

Step-by-step explanation:

6 0
2 years ago
7th grade math I need some help
brilliants [131]

Answer:

$33.60

Step-by-step explanation:

First we take 80% of $40.

1. $40 * 0.80 = $32

Next we take 105% of $32.

2. $32 * 1.05 = $33.60

4 0
2 years ago
The vertices of triangle rst are r(–1,–2), s(2,–1), and t(4,2). If δjkl ∼ δrst and the length of kl is units , what is the lengt
NemiM [27]

Answer:

3.16 units

Step-by-step explanation:

It has been given that the triangles JKL and the triangle RST are congruent.

That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.

Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are (-1,-2) and (2,-1).

The length of the side RS is equal to the distance between point R and S.

RS =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}

=\sqrt{3^2+(-1+2)^2}

=\sqrt{9+1}=\sqrt{10}=3.16

Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.

7 0
3 years ago
Read 2 more answers
Select the slope-intercept form of an equation for a line with y-intercept -2 and slope 6.<br>​
ozzi

Answer:

y = 6x - 2

Step-by-step explanation:

slope intercept form is y = mx + b

m = slope

b = y-intercept

They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation

y = mx + b

y = 6x - 2

3 0
3 years ago
Other questions:
  • Bicycling World, a magazine devoted to cycling, reviews hundreds of bicycles throughout the year. Its Road-Race category contain
    14·1 answer
  • one half multiplyed by 4 pluse one quarter times 4 pluse three quarters times 4 pluse three 8s times. 3 pluse 5 8s times 3
    9·1 answer
  • Help me please<br> thx so much<br> have a good one
    13·1 answer
  • What is the value of x in feet? <br>(Perimeter and area)
    10·1 answer
  • Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
    9·1 answer
  • Suppose you deposit ​$600 in a bank account with a simple interest rate of 2.5​%. You want to keep your deposit in the bank long
    15·1 answer
  • A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd
    15·1 answer
  • The graph represents the profit on the sale of boxes of cookies. what does the slope represent?​
    7·1 answer
  • 7560 in the ratio 4:5
    15·1 answer
  • I need to find how many solutions does the system have. ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!