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4 years ago

19 27 28 54 59 59 what is the middle

Mathematics

2 answers:

nikdorinn [45]4 years ago

6 0

Answer:

28,54

Step-by-step explanation:

there are two 59's so that would go right and 19 , 27 just go to left

Ede4ka [16]4 years ago

5 0

it has to be in between of 24 an 59

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What are the coordinates of the hole in the graph of the function?

MakcuM [25]

Answer:

The hole is at (5,7)

Step-by-step explanation:

x^2 − 3x − 10

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

x−5

Factor the numerator

(x-5)(x+2)

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x−5

There is a hole at x=5 since it will cancel in the numerator and the denominator

f(x) = x+2 and letting x = 5

f(5) = 5+2

The hole is at (5,7)

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3 years ago

Next number in sequence 7 16 8 27 9 ?

djyliett [7]

The next number is 38. The pattern is 7, 16, 8, 27, 9; if you look at the first 4 numbers, you notice that it counts to 7, 8, 9. Then you have 16 and 27, if the pattern continues; the next number is 38.

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3 years ago

Read 2 more answers

A set of average city temperatures in December are normally distributed with a mean of 16.3 C and a

aleksley [76]

Answer:

Step-by-step explanation:

z value of 14.9 = (16.3 - 14.9) / 2

= 0.7

= .7580

z value of 12.9 = (16.3 - 12.9) / 2

= 1.7

=.9554

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8 0

3 years ago

We are going to fence in a rectangular field that encloses 75 ft2. Determine the dimensions of the field that will require the l

pychu [463]

Answer:

For width W and length L, we have:

W = L = √(75ft^2) = 8.66ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = L*W

and the perimeter is:

P = 2*L + 2*W

First, we know that the area of our rectangle is:

A = 75ft^2 = L*W

And we want to minimize the perimeter of our rectangle, then we need to minimize:

P = 2*L + 2*W

From the equation:

75ft^2 = L*W

We can isolate one of the variables, let's isolate L

L = (75ft^2)/W

We could replace this in the perimeter equation:

P(W) = 2*( (75ft^2)/W) + 2*W

P(W) = (150 ft^2)/W + 2*W

To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).

P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2

Now we need to find the value of W such that:

P'(W) = 0

0 = -(150ft^2)/W^2 + 2

(150 ft^2)/W^2 = 2

(150ft^2) = 2*W^2

(150ft^2)/2 = W^2

75 ft^2 = W^2

√(75ft^2) = W = 8.66ft

And remember that:

L = (75ft^2)/W

replacing with W = √(75ft^2)

L = (75ft^2)/√(75ft^2) = √(75ft^2)

Then:

W = L = √(75ft^2) = 8.66ft

6 0

3 years ago

At the movie theater,the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.75.how much is a fountain dr

Anna35 [415]

<h3><u>Question:</u></h3>

At the movie theater , the Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50. The Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75. How much is a fountain drink? How much is a bag of popcorn ?

<h3><u>Answer:</u></h3>

Cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5

<h3><u>Solution:</u></h3>

Let "f" be the price of 1 fountain drink

Let "p" be the price of 1 bag of popcorn

Given that Clayton family bought 4 fountain drinks and 3 bags of popcorn and paid $22.50

4 x price of 1 fountain drink + 3 x price of 1 bag of popcorn = 22.50

$4 \times f + 3 \times p = 22.50$

4f + 3p = 22.5 -------- eqn 1

Also given that Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid $23.75

5 x price of 1 fountain drink + 2 x price of 1 bag of popcorn = 23.75

$5 \times f + 2 \times p = 23.75$

5f + 2p = 23.75 -----------------eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

2(4f + 3p = 22.5)

8f + 6p = 45 -------- eqn 3

Multiply eqn 2 by 3

3(5f + 2p = 23.75)

15f + 6p = 71.25 --------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

15f + 6p = 71.25

8f + 6p = 45

( - ) -------------------

7f = 26.25

f = 3.75

<em><u>Substitute f = 3.75 in eqn 1</u></em>

4(3.75) + 3p = 22.5

15 + 3p = 22.5

3p = 22.5 - 15

3p = 7.5

p = 2.5

Thus cost of 1 fountain drink is $ 3.75 and cost of 1 bag of popcorn is $ 2.5

8 0

3 years ago