Which ratio is equivalent to (two-fifths)?

Pls help my test is timed!! Which of the following scatterplots would have a trend line with a negative slope?

swat32

the first/upper one

the other point cloud is too compact to leave a clear clue about any slope

8 0

3 years ago

A community theater uses the function p (d) = (-4d+40) (d−40) to model the profit (in dollars) expected in a weekend when the ti

fomenos

The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.

<h3>What is differentiation?</h3>

The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.

A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.

Then the maximum profit of the theatre will be

The function is P(d) = (− 4d + 40) (d − 40)

Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= 0\\\\\dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) &= 0\\\\(-4d+40) -4 (d-40) &= 0\\\\-8d + 200 &= 0\\\\d &= 25 \end{aligned}$

Then the checking for maximum or minimum, again differentiate, we have

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(-8d + 200) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= -8\\\\ \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) & < 0\end{aligned}$

The value is less than zero hence maximum value will occur at d = 25.

Then maximum profit will be

P(d) = (− 4×25 + 40) (25 − 40)

P(d) = (− 100 + 40) (−15)

P(d) = (− 60) (− 15)

P(d) = $ 900

More about the differentiation link is given below.

brainly.com/question/24062595

#SPJ1

7 0

2 years ago

2 5/16 divided into 7/8 equals what

Whitepunk [10]

Answer:

4 1/14

Step-by-step explanation:

2 5/16=57/16

57/16*8/7=57/16 divided by 7/8

57/16*8/7=57/2*7=57/14=4 1/14

8 0

2 years ago

3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused

svet-max [94.6K]

3(x-1)-8=4(1+x)+5

One solution was found :

x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*(x-1)-8-(4*(1+x)+5)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((3•(x-1))-8)-(4•(x+1)+5) = 0

Step 2 :

Equation at the end of step 2 :

(3 • (x - 1) - 8) - (4x + 9) = 0

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

-x - 20 = -1 • (x + 20)

Equation at the end of step 4 :

-x - 20 = 0

Step 5 :

Solving a Single Variable Equation :

5.1 Solve : -x-20 = 0

Add 20 to both sides of the equation :

-x = 20

Multiply both sides of the equation by (-1) : x = -20

One solution was found :

x = -20

hope this is wht u wanted

4 0

3 years ago

Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or

Irina18 [472]

Answer:

4) i) The numbers can represent the side lengths of a triangle

ii) Right triangle

5) i) The numbers can represent the side lengths of a triangle

ii) Isosceles triangle

6) i) The numbers can represent the lengths of the sides of a triangle

ii) Pythagoras theorem

7) The numbers do not represent the lengths of sides of a triangle

8) i) The numbers can represent the side lengths of a triangle

ii) Scalene triangle

Step-by-step explanation:

In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side

The given numbers are;

4) i) 15, 20, 25

Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle

ii) 15² + 20² = 25²

Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem

The triangle is a right triangle

5) i) The given numbers are;

2, 6, 6

Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle

ii) Given that the lengths of two sides are equal (6 each), the triangle formed by the numbers is an isosceles triangle

6) i) 0.27, 0.36, 0.45

0.27 + 0.36 = 0.63 > 0.45, therefore, the numbers can represent the lengths of the sides of a triangle

ii) Given that 0.27² + 0.36² = 0.45², according to Pythagoras theorem, the type of triangle formed is a right triangle

7) 2.5, 1.5, 4

Given that 2.5 + 1.5 = 4, the numbers do not meet the criteria for forming triangles and therefore they cannot represent the side lengths of a triangle

8) i) 12, 16, 25

12 + 16 = 28 > 25, the numbers can represent the side lengths of a triangle

ii) 12² + 16² = 400 < 25² = 625, therefore, the triangle formed by the numbers is not a right triangle but a scalene triangle.

7 0

2 years ago