MATHEMATICS COLLEGE

The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *

Answers

Answer 1
Answer:

Answer:

a) The equation of Z and C is Z =K C

b) K = 2

Step-by-step explanation:

Explanation:-

Given data Z is directly proportional to C

              ⇒   Z ∝ C

               ⇒  Z = K C

The equation of relating Z and C    

               Z = K C

Given Z = 20 and C =10

              20 = K ( 10)

          ⇒ K = 2

Related Questions

g let X be a normally distributed random variable with mean 3 and variance 4. a) Let Y = 5X+2. What is the distribution of Y? What are its mean and variance? b) Find P(Y<10). Find P(X<10). c) What is the 99th percentile of the distribution of Y? d) What is the 99th percentile of the distribution of X? e) What is the distribution of W = exp(Y)? What are its mean and variance?
Given point A(−2, 6) and point B(3, 4), find the coordinates of point C that divide AB so that the ratio AC:CB is 2:3.The coordinates of point C are 40 POINTS
click on answer to see full problem
Karly is choosing between two health clubs. Yoga Studio A charges a membership fee of $22.00 and $24.50 per month. Yoga Studio B charges a membership fee of $47.00 and $18.25 per month. At how many months will they cost the same? *
I will mark as brainliest!!!Rewrite as a simplified fraction.0.67 = ?7 is repeating

What is x in this problem? someone please help

Answers

X=21
This is because both of those angles are equal, so you would divide 42 by 2 and get 21

Can someone please help me :)

Answers

Answer:

90 degree

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

5/6 + (-4/9)-(-2) ??????

Answers

Answer:

2 7/18

Step-by-step explanation:

Follow the pemdas order of operations, apply the + (-a) = a Rule. Add and subract from left to right. 5/6 - 4/9 = 7/18 with 2 and it gives you your answer but keep in mind the two multiples are 6,9. Hope this helps!
it would be 43/18. you should be able to simplify it if not let me know :)

Driving along, terry notices that the last four digits on his car's odometer are palindromic. a mile later, the last five digits are palindromic. after driving another mile, the middle four digits are palindromic. one more mile, and all six are palindromic. what was the odometer reading when terry first looked at it? form a linear system of equations that expresses the requirements of this puzzle.

Answers

Designate the initial digits, left to right, as {a, b, c, d, d, c}.

After adding one mile, the digits are {a, b, c, d, c, b}, so the relevant equation is
  10c +b = 10d +c +1

After adding another mile, the digits are {a, b, c, c, b, e}, so the relevant equation is
  100c +10b +e = 100d +10c +b +1

After another mile, the digits are {a, b, c, c, b, a}, so the relevant equation is
  a = e +1

In summary, we have 3 equations in 5 unknowns.
  b + 9c -10d = 1
  9b +90c -100d +e = 1
  a - e = 1
along with the constraints {a, b, c, d, e} ∈ {0, ..., 9}


_____
These have the solution {a, b, c, d, e} = {1, 9, 8, 8, 0}, so the odometer readings were
  198888
  198889
  198890
  198891

If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?

Answers

Answer:

y = {1, 3, 7}

Step-by-step explanation:

Given

y = ½x + 3

Domain: {-4, 0, 8}

Required

Determine the range of the function

To do this, we simply substitute each value of the domain in the given expression

We start with the first

Substitute -4 for x in y = ½x + 3

y = ½ * -4 + 3

y = -2 + 3

y = 1

Then 0

Substitute 0 for x in y = ½x + 3

y = ½ * 0 + 3

y = 0 + 3

y = 3

Lastly, 8

Substitute 8 for x in y = ½x + 3

y = ½ * 8 + 3

y = 4 + 3

y = 7

Hence, the range of the function is:

y = {1, 3, 7}

Answer:1,3,7

Step-by-step explanation:

About 58 million people die every year. About how many die each day, on average?

Answers

Answer:

If a regular year, about 158,904. If a leap year, about 158,469

Step-by-step explanation:

for a regular year, 58,000,000 divided by 365 = 158,904

for a leap year, 58,000,000 divided by 366 = 158,469

Answer: 158,904

Step-by-step explanation:

58,000,000/365=158,904.10958904 which rounded is 158,904
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