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deff fn [24]
3 years ago
9

In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006. What was Daniel's rate of growth over this period of his

life? (Find growth each year)
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

he grows by 5 cm every year between 1999 and 2006

Step-by-step explanation:

This is a arithmetic progression problem with the formula;

T_n = a + (n - 1)d

We are told that In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006.

Thus;

a = 146

d = 2006 - 1999 = 7

Thus;

176 = 146 + (7 - 1)d

176 - 146 = 6d

30 = 6d

d = 30/6

d = 5 cm

Thus, he grows by 5 cm every year between 1999 and 2006

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What is the final answer?
MakcuM [25]
<h3>Answer:  42</h3>

Explanation:

We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c

where,

  • a = -0.9
  • b = 76
  • c = -250

The vertex (h,k) is when the profit is maxed out.

h = -b/(2a)

h = -76/(2(-0.9))

h = 42.222 approximately

Let's plug in x values around x = 42

Try x = 41

y = -0.9x^2 + 76x - 250

y = -0.9(41)^2 + 76(41) - 250

y = 1353.10

Now try x = 42

y = -0.9x^2 + 76x - 250

y = -0.9(42)^2 + 76(42) - 250

y = 1354.4

Now try x = 43

y = -0.9x^2 + 76x - 250

y = -0.9(43)^2 + 76(43) - 250

y = 1353.9

We see that the largest profit happens when x = 42.

3 0
2 years ago
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statuscvo [17]

Answer:

67

Step-by-step explanation:

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8 0
3 years ago
Twelve less than four times a number is -11. *
Nutka1998 [239]
EXPLANATION:
Let the no. be x.
4x-12= -11
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ANSWER:
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Hope it helps u! :)
6 0
3 years ago
Plz answer this i need help its done today
olga55 [171]

Answer:

1) 1/10

2) 1/2

3) 1/5

Step-by-step explanation:

1)

1 favorable outcome and 10 total outcomes.

P(3) = \frac{1}{10}

2)

5 favorable outcomes and 10 total outcomes

P(even) = \frac{5}{10} = \frac{1}{2}

3)

2 favorable outcomes and 10 total outcomes

P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}

3 0
3 years ago
A student writes the equation for a line that gas a slope of -6 and passes through the point (2,-8).
GREYUIT [131]
On the third step it adds 8 on both sides. You are suppose to subtract 8 on both sides.
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