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MrMuchimi
2 years ago
13

The quotient of 9 more than the radius, r, and 6

Mathematics
1 answer:
Goryan [66]2 years ago
3 0

Answer:

(9 + r)/6

Step-by-step explanation:

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Suppose two $20 bills, three $10 bills, one $5 bill, and seven $1 bills are placed in a bag. If you were to pull a bill at rando
Korolek [52]

Answer:

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is \frac{7}{13}.

Step-by-step explanation:

From the given question, the bag contains;

$1 bill = 7

$5 bill = 1

$10 bill = 3

$20 bill = 2

Total number of bills in the bag = 13

Pulling a bill at random, the bills would have an expected value as follows:

For $1 bill, the expected value = \frac{7}{13}

For $5 bill, expected value = \frac{1}{13}

For $10 bill, expected value = \frac{3}{13}

For $20 bill, the expected value = \frac{2}{13}

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is \frac{7}{13}.

6 0
3 years ago
Help if you can do this please
olga nikolaevna [1]

Answer:

Step-by-step explanation:

a. Since the parabola is compressed by a factor of 1/3 we can state:

  • a parabola is written this way : y=(x-h)²+k
  • h stands for the translation to the left ⇒ 2*3=6
  • k for the units down  ⇒4*3=12

So the equation is : y=(x-6)²+12

b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2

  • We khow that a parabola is written this way : y=(x-h)²+k
  • (h,k) are the coordinates of the vertex
  • the maximum value is  7*0.5=3.5
  • we khow tha the derivative of a quadratic function is null in the maximum value
  • so let's derivate (x-h)²+k= x²+h²-2xh+k
  • f'(x)= 2x-2h    h is 1 since the axe of simmetry is x=1
  • f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
  • Now we khow that 1 is the point where the derivative is null
  • f(1)=3.5
  • 3.5=(x-1)²+k
  • 3.5= (1-1)²+k⇒ k=3.5

So the equation is : y=(x-1)²+3.5

7.

the maximum height is where the derivative equals 0

  • h= -5.25(t-4)²+86
  • h= -5.25(t²-8t+16)+86
  • h=-5.25t²+42t-84+86
  • h=-5.25t²+42t+2

Let's derivate it :

  • f(x)= -10.5t+42
  • -10.5t+42=0
  • 42=10.5t
  • t= 42/10.5=4

When the height was at max t=4s

  • h(max)= -5.25(4-4)²+86 = 86 m

h was 86m

8 0
2 years ago
Cindy's age, x, is 3 times her age 6 years ago.
Ugo [173]

The algebraic expression for the statement Cindy's age, x, is 3 times her age 6 years ago is 3(x-6).

The given statement is Cindy's age, x, is 3 times her age 6 years ago.

We need to represent the given statement as the algebraic expression.

<h3>What is an algebraic expression?</h3>

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.

6 years ago Cindy's age(x) is x-6.

3 times Cindy's age=3(x-6)

Therefore, the algebraic expression for the statement Cindy's age, x, is 3 times her age 6 years ago is 3(x-6).

To learn more about the algebraic expression visit:

brainly.com/question/953809.

#SPJ1

3 0
1 year ago
Okay in this input and output function
Monica [59]
As the input goes up by 3, the output goes down by 1.
6 0
2 years ago
The cost to write an ad in a news paper is $10 plus $0.25 per word. Write an inequality that can be used to find the maximum amo
MA_775_DIABLO [31]

Answer:

f(x)=10+0.25x

she can put maximum 20 words

Step-by-step explanation:

f(x)<=15

10+0.25x<=15

0.25x<=5

x<=20

8 0
3 years ago
Read 2 more answers
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