All categories

2 years ago

The data shown in the table below represents the number of quarters Maria's aunt gives her every year for her birthday.

Mathematics

1 answer:

marta [7]2 years ago

8 0

Answer:

the approximate weight of the little girl at an age of 14 years old will be 88 pounds.

Step-by-step explanation:

You might be interested in

Solve for e. 9e + 4 = -5e + 14 + 13e

sladkih [1.3K]

Answer:

10.

Step-by-step explanation:

9e + 4 = -5e + 14 + 13e

9e + 5e - 13e = 14 - 4

e = 10

5 0

2 years ago

Read 2 more answers

The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a

LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

$dP/dt=P(aP-b)$

$dP=P(aP-b)dt$

$1/(dP^2-bP)dP=dt$

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

$1/(d-b/P)\cdot{P^2} dP$

let

$u=d-b/P$

$du/dP=b/P^2$

$dP=$ $\int\limits {P^2/b} \, du$

$P=lnu/b$

Substitute u in:

$P=ln(d-b/P)/b$

Therefore the equation is:

$ln(d-b/P)/b=t$

We simplify:

$d-b/P=e^b^t$

$P=b/(d-e^b^t)$

As t increases to infinity P will decrease

6 0

2 years ago

I dont really know how to do soh cah toah. please help me find x.

Ipatiy [6.2K]

First notice that the triangle with sides $x,y,a$ and the triangle with sides $z,a+b,x$ are similar. This is true because the angle between sides $x,y$ in the smaller triangle is clearly $30^\circ$ , while the angle between sides $y,z$ in the larger triangle is clearly $60^\circ$ . So the triangles are similar with sides $x,y,a$ corresponding to $a+b,z,x$ , respectively.

Now both triangles are $30^\circ-60^\circ-90^\circ$ , which means there's a convenient ratio between its sides. If the length of the shortest leg is $\ell_1$ , then the length of the longer leg is $\ell_2=\sqrt3\ell_1$ and the hypotenuse has length $\ell_3=\sqrt{{\ell_1}^2+{\ell_2}^2}=2\ell_1$ .

Since $x$ is the shortest leg in the larger triangle, it follows that $a+b=2x$ , so $a+b=15=2x\implies x=\dfrac{15}2$

4 0

3 years ago

from 5 employees at a company a group of 3 employees will be chosen to work on a project. how many different groups of 3 employe

sattari [20]

The answer to the math question presented above would be 10. From 5 employees at a company a group of 3 employees will be chosen to work on a project, the number of different groups of 3 employees can be chosen is 10. You can have 10 different groups of threes in 5 employees.

5 0

3 years ago

how do I cancel this out??? this is the only thing I don't understand... have an a on my class but... never get these right...

Rus_ich [418]

You factor the expression first leaving you with $\frac{3xy(z-1)}{3xy}$
Then you would cancel out 3xy as because there is exactly one on each side. This, in turn, would leave you with z - 1

6 0

3 years ago