All categories

3 years ago

Please Please Help Me In These Questions: 1-5!!!!! I Give Thanks!!!! Graph, Table, and the Questions are included.

Mathematics

1 answer:

earnstyle [38]3 years ago

7 0

Assuming that the traps stay the same, we know that the number of moths they catch will be relative to the size of the population of moths. From this, we can see that the trend in the population of light moths is a steady decrease from year to year, and the trend in the population of the dark moths is a steady increase over the same time period.

Since the trees have been darkened by industrial pollution (they have black smoke on them), we know that the dark moths camouflage better than the light moths. Because of this, the white moths get eaten by predators more often and their population goes down gradually; the dark moths, however, camouflage easily, and their population goes up since they get eaten less often.

If the environment were cleaned up, the light moths' population would increase (since they camouflage better on clean trees), while the dark moths' population would decrease (since they camouflage better on dirty, polluted trees).

You might be interested in

Of Bernie's insect collection, 15 out of 25 insects are butterflies. Which of the following is not another way of expressing 15

koban [17]

B is the answer for ur question :D

8 0

3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

$y-y_1=m(x-x_1)$

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

4 years ago

hosting a dinner party for 38 people, you plan to serve peach pie for dessert. Each pie has 8 slices. how many pies must your bu

dem82 [27]

Answer:

4.75 or round up to 5.

Step-by-step explanation:

if each pie has 8 slices, then you must do 8+8+8... and so on until u reach 38. However you wont get exactly 38 because 8 doesn't add up evenly into 38. You can find the exact number by divding the amount of people, 38, by the number of slices per pie, 8. The answer will be 4.75 but you can not buy a fraction of a pie so you must round up to 5 whole pies. There will be extra left over in the end, but you cant round down because 4 pies would not be enough, so you must buy 5.

5 0

2 years ago

5892 ÷ 18 327 327118 32713 327718

gregori [183]

5892 divided by 18 is 327 rounded

7 0

3 years ago

Read 2 more answers

Find the LCD for the following pair of fractions. 1/5 and 1/2

Katarina [22]

The LCD would the 10 since that is the lowest multiple that they both have in common.

7 0

3 years ago