What is the volume of this rectangular pyramid?<br> 3 m<br> 3 m<br> 4 m

Profit is equal to the revenue obtained from selling items minus the cost of producing those items, i.e. P(x) = R(x) – C(x) wher

DIA [1.3K]

P(x)=R(x)-C(x)
Given that:
R(x)=2.5x and C(x)=0.5x+3
Then,
P(x)=2.5x-(0.5x+3)
P(x)=2x-3
thus for profit of $99, the number of units will be found as follows:
99=2x-3
solving for x we get:
102=2x
x=56 units

7 0

3 years ago

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Work out<br><br> 1/3 + 2/9<br><br> Give your answer in its simplest form

Soloha48 [4]

Step-by-step explanation:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

4 0

2 years ago

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

2 years ago

The temperature never rose above 6 °F on Friday. Which number line could represent this situation?

Elis [28]

Answer:

b

Step-by-step explanation:

3 0

2 years ago

The least-squares regression line is_____________. A. the line that passes through the most data points.B. the line that makes t

Elanso [62]

Answer:

<h3>The option B) is correct.</h3><h3>That is the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible is correct answer</h3>

Step-by-step explanation:

Given that " The least-squares regression line "

The least-squares regression line is <u>the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible.</u>

Therefore option B) is correct

3 0

2 years ago

What is the volume of this rectangular pyramid? 3 m 3 m 4 m