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3 years ago

What does 'three more' mean?

Mathematics

2 answers:

kozerog [31]3 years ago

7 0

Add 3 to to what ever the number is to get your answer

slamgirl [31]3 years ago

7 0

It means that you must add 3 to get the answer

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In pea plants, flower color is inherited in a Mendelian fashion. Purple flowers (P) are dominant over white flowers (p). If two

RideAnS [48]

Answer:

25%

Step-by-step explanation:

The crossing between two heterozygous purple flowers can have the following results:

P from 1st flower and P from 2nd flower: PP -> 25% chance

P from 1st flower and p from 2nd flower: Pp -> 25% chance

p from 1st flower and P from 2nd flower: Pp -> 25% chance

p from 1st flower and p from 2nd flower: pp -> 25% chance

As the purple flower gene is dominant over the white flower, to have a white flower we need to have only white flower's genes, that is, pp.

So, the probability of the offspring will have white flowers is 25%

6 0

3 years ago

Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation with constant coefficients.

Anika [276]

Answer:

$\boxed{\sf \ \ \ ax^2+bx^{-10} \ \ \ }$

Step-by-step explanation:

Hello,

let's follow the advise and proceed with the substitution

first estimate y'(x) and y''(x) in function of y'(t), y''(t) and t

$x(t)=e^t\\\dfrac{dx}{dt}=e^t\\y'(t)=\dfrac{dy}{dt}=\dfrac{dy}{dx}\dfrac{dx}{dt}=e^ty'(x)y'(x)=e^{-t}y'(t)\\y''(x)=\dfrac{d^2y}{dx^2}=\dfrac{d}{dx}(e^{-t}\dfrac{dy}{dt})=-e^{-t}\dfrac{dt}{dx}\dfrac{dy}{dt}+e^{-t}\dfrac{d}{dx}(\dfrac{dy}{dt})\\=-e^{-t}e^{-t}\dfrac{dy}{dt}+e^{-t}\dfrac{d^2y}{dt^2}\dfrac{dt}{dx}=-e^{-2t}\dfrac{dy}{dt}+e^{-t}\dfrac{d^2y}{dt^2}e^{-t}\\=e^{-2t}(\dfrac{d^2y}{dt^2}-\dfrac{dy}{dt})$

Now we can substitute in the equation

$x^2y''(x)+9xy'(x)-20y(x)=0\\ e^{2t}[ \ e^{-2t}(\dfrac{d^2y}{dt^2}-\dfrac{dy}{dt}) \ ] + 9e^t [ \ e^{-t}\dfrac{dy}{dt} \ ] -20y=0\\ \dfrac{d^2y}{dt^2}-\dfrac{dy}{dt}+ 9\dfrac{dy}{dt}-20y=0\\ \dfrac{d^2y}{dt^2}+ 8\dfrac{dy}{dt}-20y=0\\$

so the new equation is

$y''(t)+ 8y'(t)-20y(t)=0$

the auxiliary equation is

$x^2+8x-20=0\\ x^2-2x+10x-20=0\\x(x-2)+10(x-2)=0\\(x+10)(x-2)=0\\ x=-10\text{ or }x=2$

so the solutions of the new equation are

$y(t)=ae^{2t}+be^{-10t}$

with a and b real

$x(t)=e^t\\ t(x)=ln(x)$

$y(x)=ae^{2ln(x)}+be^{-10ln(x)}=ax^2+bx^{-10}$

hope this helps

do not hesitate if you have any questions

8 0

3 years ago

Which explains the error Krista made?

MariettaO [177]

A is the right option! Because 0.40 should be in second equation with the x to represent the number of stamps multiply by 40 cents.

4 0

3 years ago

The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere?

tino4ka555 [31]

We know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=200.96 cm²
so
r=√[200.96/(4*pi)]------> r=4 cm

volume of a sphere=(4/3)*pi*r³-----> (4/3)*pi*4³----> 268.08 cm³

the answer is
<span>the approximate volume of the sphere is 268.08 cm</span>³

6 0

4 years ago

1. How might mathematics play a role in making movies? Name some movies where math might have been used.

vovikov84 [41]

Answer with Explanation:

Mathematics plays a vital role in human lives. It is also used not only in schools, but also when it comes to making films. An example of these films are "Pixar" animated films such as "Toy Story" and "Incredibles 2."

For example, the movement of one character from the left to the right (sliding movement), when it comes to computers is being done with the help of a mathematical concept called "Coordinate geometry." This allows to bridge the gap between what designers want with their characters and its movement. So, in order to do this, the mathematical translation used is "addition" because the x coordinate started with 1 as its value and this ended with the value of 5 when the picture slid to the right. When it comes to making characters larger in an anime, we have to consider the concept of "multiplication." On the other hand, if objects are to be rotated, we have to consider the concept of "Trigonometry."

This is just one way Mathematics play a role in making movies.

5 0

3 years ago