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kirill115 [55]
3 years ago
14

Solve 4^(2x) = 7^(x−1).

Mathematics
1 answer:
sweet [91]3 years ago
3 0
To solve for x in the given equation, use natural logarithms. Getting the natural logarithms of both sides, will be ln 4^(2x) = ln 7^(x-1). This is also equal to 2x ln 4 = (x-1) ln 7. Rearranging the equation, 2x/(x-1) = ln 7/ln 4. The right side is equal to 1.4037. Thus, the value of x is -2.3539. 
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A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Volgvan

Answer:1+10(1-\cos (\frac{\pi t}{9}))

Step-by-step explanation:

Given

radius of wheel r=10 m

Time period of Wheel T=18 s

and T\cdot \omega =2\pi , where \omega =angular velocity of wheel

\omega =\frac{2\pi }{18}

Let at any angle \thetawith vertical position of a point is given by

x=r\sin \theta

y=y_0+r(1-\cos \theta )

and \theta =\omega \times t

for velocity differentiate x and y to get

v_x=r\cos \theta =r\cos (\omega t)

v_y=0+r(\sin \theta )=r\sin (\omeag t)

Height at any time t is given by

h=1+10(1-\cos \theta )=1+10(1-\cos (\frac{\pi t}{9}))

7 0
3 years ago
I need help majorly on questions 13 14 15 16 and 17. Please help now In a super big rush
Sholpan [36]

13- 8

17-19

16- 16


All I did was add them up you could also multiply by two because you could

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What are numbers that have a sum of 13 and a difference of 2.
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Step-by-step explanation:

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4 years ago
Circle A has center of (2, 3) and a radius of 5, and circle B has a center of (1, 4) and a radius of 10. What steps will help sh
Kay [80]

To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.

<h3>How to prove that two circles are similar</h3>

Herein we must prove that two circles are similar by taking advantage of two key characteristics: (i) Center, (ii) Radius. Based on such facts, we must apply the following <em>rigid</em> transformation:

  1. Translating the circle from A to B.
  2. Enlarging the circle A by a <em>dilation</em> factor.

Step 1 - Traslating the circle from A to B: Translation vector - (- 1, 1).

(x, y) = (2, 3) + (- 1, 1)

(x, y) = (1, 4)

Step 2 - Dilate the circle by a factor of 2.

r = 2 · 5

r = 10

To prove the similarity between the two circles we must translate circle A by <- 1, 1> and dilate the figure by a factor of 2.

To learn more on transformation rules: brainly.com/question/9201867

#SPJ1

5 0
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