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2 years ago

I need help I’m bad at math

Mathematics

1 answer:

Alina [70]2 years ago

5 0

If you'd graph this function, you'd see that it's positive on [-1.5,0], and that it's possible to inscribe 3 rectangles on the intervals [-1.5,-1), (-1,-0.5), (-0.5, 1].

The width of each rect. is 1/2.

The heights of the 3 inscribed rect. are {-2.25+6, -1+6, -.25+6} = {3.75,5,5.75}.

The areas of these 3 inscribed rect. are (1/2)*{3.75,5,5.75}, which come out to:

{1.875, 2.5, 2.875}

Add these three areas together; you sum will represent the approx. area under the given curve on the given interval: 1.875+2.5+2.875 = ?

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A population p of migrating butterflies changes over time it is represented by the equation p=100,000*4/5 where w is the number

Trava [24]

Given that,

A population p of migrating butterflies changes over time it is represented by the equation

$p=100,000\times (\dfrac{4}{5})^w$ Where w is number of weeks.

To find,

The population after 2 weeks.

Solution,

We have,

$p=100,000\times (\dfrac{4}{5})^w$

Put w = 2 in the above equation.

$p=100,000\times (\dfrac{4}{5})^2\\\\=100,000\times \dfrac{16}{25}\\\\=64000$

So, the population after 2 weeks is 64000 .

7 0

2 years ago

Y is directly proportional to x,and y=216 when x=2. Find y when x=7.

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=216\\
x=2
\end{cases}\implies 216=k2\implies \cfrac{216}{2}=k
\\\\\\
108=k\qquad therefore\qquad \boxed{y=108x}
\\\\\\
\textit{when x = 7, what is \underline{y}?}\qquad y=108(7)$

6 0

3 years ago

Holly works at a garage.

Musya8 [376]

The answer is £287.98 is the correct answer

5 0

2 years ago

The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive odd whole number?

Rufina [12.5K]

The series of odd numbers is:

1, 3, 5, 7, 9, 11, 13, ....

If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.

The formula for the sum of an Arithmetic Series is:

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)*d)$

Here,

n = number of terms = 100

a₁ = first term = 1

d = Common Difference = 2

Using the values, we get:

$S_{100}=\frac{100}{2}(2(1)+99*2)\\ \\ S_{100}=10000$

Thus, the sum of first 100 positive odd whole numbers is 10,000.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=-x%20-3%20%5C%20%20%5Ctextless%20%5C%20%200" id="TexFormula1" title="-x -3 \ \textless \ 0"

VladimirAG [237]

- x < 3

Answer:
x < -3

8 0

2 years ago