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2 years ago

Assignme

Mathematics

1 answer:

pishuonlain [190]2 years ago

5 0

Answer:

Step-by-step explanation:

5 scores so far + next quiz =6 scores

6 times 16=96

She has to get a quiz score sum of 96 to get an average of 16

18+15+16+14+15=78

96-78=18

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On the picture to the right,

Anettt [7]

Answer:

AB = 5.2

AC = 5.2

m∠3 = 30 degrees

, m∠4 = 30 degrees

Step-by-step explanation:

Triangle ABO and ACO are both 30 60 90 triangles and are equal

Therefore If we have two sides then we can figure out the last side

Click to let others know, how helpful is it

5 0

3 years ago

Consider the implicit differential equation <img src="https://tex.z-dn.net/?f=%2849%20y%5E%7B3%7D%20%2B%2045%20xy%29%20dx%20%2B%

BaLLatris [955]

We're looking for an integrating factor $\mu(x,y)=x^py^q$ such that

$\mu\underbrace{(49y^3+45xy)}_M\,\mathrm dx+\mu\underbrace{(98xy^2+50x^2)}_N\,\mathrm dy=0$

is exact, which would require that

$(\mu M)_y=(\mu N)_x$
$(49x^py^{q+3}+45x^{p+1}y^{q+1})_y=(98x^{p+1}y^{q+2}+50x^{p+2}y^q)_x$
$49(q+3)x^py^{q+2}+45(q+1)x^{p+1}y^q=98(p+1)x^py^{q+2}+50(p+2)x^{p+1}y^q$
$\implies\begin{cases}49(q+3)=98(p+1)\\45(q+1)=50(p+2)\end{cases}\implies p=\dfrac52,q=4$

You can verify that $(\mu M)_y=(\mu N)_x$ if you'd like. With the ODE now exact, we have a solution $F(x,y)=C$ such that

$F_x=\mu M$
$F=\displaystyle\int(49y^3+45xy)x^{5/2}y^4\,\mathrm dx$
$F=10x^{9/2}y^5+14x^{7/2}y^7+f(y)$

$F_y=\mu N$
$50x^{9/2}y^4+98x^{7/2}y^6+f'(y)=98x^{7/2}y^2+50x^{9/2}y^4$
$f'(y)=0$
$\implies f(y)=C$

and so the general solution is

$F(x,y)=10x^{9/2}y^5+14x^{7/2}y^7=C$

8 0

3 years ago

I need help helphelphelp helphelphelp helphelphelp

Brut [27]

Answer:

234 in^2

Step-by-step explanation:

*look at the pick* 6+60+168=234

7 0

3 years ago

If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.

zepelin [54]

Answer:

(f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Step-by-step explanation:

(f o g)(x) = [f(g(x)]

g(8) = 2 and f(2) = 3

g(-1) = 4 and f(4) = 8

g(2) = 7 and f(7) = -1

So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}

8 0

2 years ago

How many more years will it take Inga to pay off the loan

Len [333]

Answer:

Step-by-step explanation:

60+10=70

9 1

3 years ago