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
algol [13]
2 years ago
12

5/3v = 125/7 PLEASE HELP

Mathematics
1 answer:
Oxana [17]2 years ago
8 0

Answer:

v =7/75

Step-by-step explanation:

5/3v = 125/7

\frac{5}{3v} = \frac{125}{7}  cross multiply

5*7 = 125 *3v

35 = 375v divide by 375

v = 35/375

v =7/75

You might be interested in
A. Find the amplitude.
Feliz [49]

Answers:

  • a) Amplitude = 2
  • b) Period = pi
  • c) Vertical shift = -2, which means it has been shifted down 2 units.
  • d) Horizontal shift = 3pi/8, this shifting is to the right.
  • e) There is <u>  one  </u> cycle between 0 and 2pi.
  • f) The equation of the graph is y = 2*sin(2(x-3pi/8))-2

========================================================

Explanations:

Part (a)

The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.

Note: Amplitude is always positive as it measures a distance.

---------------------

Part (b)

For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.

The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8

So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi

The graph repeats itself every pi units, so the period is pi.

---------------------

Part (c)

The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.

---------------------

Part (d)

This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.

The parent sine function y = sin(x) goes through the origin (0,0)

However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)

This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2

This must mean we need to shift the sine graph 3pi/8 units to the right.

---------------------

Part (e)

Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).

So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.

Overall, one full cycle is between 0 and 2pi.

---------------------

Part (f)

Again I'm going to use sine instead of cosine. Refer back to part (d).

The general sine curve equation is

y = A*sin(B(x-C))+D

where

  • |A| = amplitude
  • B handles the period, specifically T = 2pi/B where T is the period. We can solve for B to get B = 2pi/T
  • C = horizontal phase shift
  • D = vertical shift, and ties together with the midline equation

In this case, we found that

  • |A| = 2
  • T = pi leads to B = 2pi/T = 2pi/pi = 2
  • C = 3pi/8
  • D = -2

So,

y = A*sin(B(x-C))+D

will update to

y = 2*sin(2(x-3pi/8))-2

which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).

6 0
2 years ago
On Triangle ABC, Angle A measures 30 degrees, Angle B measures 90 degrees, and Angle C measures 60 degrees. List the sides of Tr
Mazyrski [523]

Answer:

A=30  B=90  C=60

Step-by-step explanation:

A=30 C=60  B=90

8 0
3 years ago
The cost of making a phone call is $0.40 plus $0.07 for each additional minute. Write an inequality) to find the number of minut
grandymaker [24]

Answer:

Step-by-step explanation

$20 but im not for sure so if im wrong im sorry

5 0
3 years ago
What is the mean for the set of data?<br> 6, 7, 9, 10, 11, 11<br> A. 11<br> B. 9<br> C. 5<br> D. 9.5
Tasya [4]

Answer:

B: 9

Step-by-step explanation:

8 0
2 years ago
7 5/6 - 3 1/12 what does this equal as a fraction in simplest form
KengaRu [80]

For this case we convert the mixed numbers into fractions:

7 \frac {5} {6} = \frac {6 * 7 + 5} {6} = \frac {42 + 5} {6} = \frac {47} {6}\\3 \frac {1} {12} = \frac {12 * 3 + 1} {12} = \frac {36 + 1} {12} = \frac {37} {12}

Rewriting the expression:

\frac {47} {6} - \frac {37} {12} =\\\frac {12 * 47-6 * 37} {6 * 12} =\\\frac {564-222} {72} =\\\frac {342} {72} =

We simplify:

\frac {171} {36} =\\\frac {57} {12} =\\\frac {19} {4}

Thus, the simplified form is:\frac {19} {4}

Answer:

\frac {19} {4}

3 0
3 years ago
Other questions:
  • Can someone please help me with these 2 questions? I’m so confused on them
    15·1 answer
  • morgan jogged 51.2 kilometers karen jogged 53.52 kilometers kelly jogged 6kilometers less than morgan how many kilometers did ka
    8·1 answer
  • 20 votes for Erin per 100 votes
    14·1 answer
  • The circle shown has center o and radius 4. what is the area of the shaded region?
    7·1 answer
  • Explain why the value of k cannot be equal to 0
    11·1 answer
  • What’s the solution of x+4&lt;8
    15·2 answers
  • Amer is a clerk. His group medical insurance costs $3,292 a year, of which the
    12·1 answer
  • How many total outfit options are represented? <br><br>12<br>22<br>30<br> 3​
    14·1 answer
  • Answer correctly please asap!!
    12·1 answer
  • A rectangle is 6 feet long and 3 feet wide. What is the perimeter of the rectangle?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!