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3 years ago

Can someone please answer this question I will give brainliest for correct answers.

Mathematics

1 answer:

Ivenika [448]3 years ago

4 0

B(w) = 12; Katy will have read 12 books after w weeks
b(2) = 10; the number of books that Katy will have read in 2 weeks is 10
b(3) = f; the number of books that Katy will have read after 3 weeks is f
Remember w is just number of weeks!!

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Solve the given differential equation by separation of variables. csc(y) dx sec2(x) dy

Elden [556K]

Try this solution:
dx/siny=dy/cos2x;
sinydy=cos2xdx;
cosy=-1/2 sin2x+C.

3 0

3 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot

matrenka [14]

Answer:

$\angle A \cong \angle D$

Step-by-step explanation:

The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.

Thus, since John already knows that $\overline{AB} \cong \overline{DE}$ and $\overline{AC} \cong \overline{DF}$ , therefore, an additional information showing that the angle between $\overline{AB}$ and $\overline{DE}$ in ∆ABC is congruent to the angle between $\overline{AC}$ and $\overline{DF}$ in ∆DEF.

For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be $\angle A \cong \angle D$ .

See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.

7 0

3 years ago

Points that don't belong to any line

svetlana [45]

Answer:

Noncollinear points

Step-by-step explanation:

Collinear points lie on the same line. Noncollinear points are the opposite.

3 0

2 years ago

C) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the s

Trava [24]

Answer:

The converse of Pythagorean Theorem states:

If the square length of the longes side of a triangle is equal to the sum of the squares of the other two sides, then it's a right triangle.

We use the converse of Pythagorean Theorem to prove that a triangle is a right triangle. It's like the inverse use of the theorem. Often, this theorem is used to find the length of a side of a triangle when we already know it's a right triangle. However, when we don't know that is a right triangle, we use the converse to prove it.

Step-by-step explanation:

I did it Edge 2021. Good Luck:)<3

3 0

3 years ago