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Nookie1986 [14]
3 years ago
15

a baker made 7 batches of muffins there wad a total of 252 muffins if there was the same number of muffins in each batch how man

y muffins were in a batch
Mathematics
1 answer:
ch4aika [34]3 years ago
8 0
252 divided by 7
The answer is 36 in each batch
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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
The USA won 15 Wimbledon championships. Sweden and Switzerland both won 7. Australia won 6, German won 4, and Spain won 2. Write
mihalych1998 [28]
Well you add the total of championships. 15+7+7+6+4+2=41
The ratio is 6:41
This means that Australia won 6 of the 41 championships.
5 0
3 years ago
Given: an=3+an−1 and a1=5<br><br> What is the explicit rule for the arithmetic sequence?
Flura [38]

The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given:

\rm a_n=3+a_n_-_1 and

\rm a_1=5

\rm a_n-a_n_-_1= 3

The above expression represents the common ratio:

d = 3

First term:

a = 5

The explicit rule for the arithmetic sequence:

a(n) = 5 + (n - 1)3

a(n) = 3n + 2

Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

3 0
1 year ago
2 ( n + 3 ) + 5 ( 2n + 4 ) = 62 *<br> 2 points<br> 3<br> 5<br> 7<br> -8
Sophie [7]

Answer:

2 ( n + 3 ) + 5 ( 2n + 4 ) = 62 *

2 points

3

5

7

-8

Step-by-step explanation:

n+3)+5.2=(n+3)+5=n+82n+4=62=n=29v

8 0
3 years ago
Is 0.68 greater or less than 17/25
hichkok12 [17]
.68 is equal to 17/25
5 0
3 years ago
Read 2 more answers
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