All categories

3 years ago

CAN YOU HELP ME PLEASE

Mathematics

1 answer:

professor190 [17]3 years ago

7 0

Answer:

a. 60 degrees

b. 300 degrees

c. 12π

d. 2π

e. 10π

f. 36π

g. 6π

You might be interested in

Use the given information to find the unknown value:y varies inversely with a. When x = 4, then y= 4. Find y when I = 2.Iyy =hel

Mashutka [201]

Inverse variation:

$y=\frac{k}{x}$

k is a constant

Use the given information (when x=4 y=4) to find the value of the constant:

$\begin{gathered} 4=\frac{k}{4} \\ \\ \text{Multiply both sides of the equation by 4:} \\ 4\times4=4\times\frac{k}{4} \\ \\ 16=k \\ \\ \\ k=16 \end{gathered}$

Then, the given relationship has the next equation:

$y=\frac{16}{x}$

Use the equation above to find y when x=2:

$\begin{gathered} y=\frac{16}{2} \\ \\ y=8 \end{gathered}$ Then, when x=2, y=8

3 0

1 year ago

Help plz i rely need help with this question

prohojiy [21]

B. it will get smaller.

4 0

3 years ago

Read 2 more answers

Let f(x) = x2 − 16. Find f−1(x)

Yanka [14]

Answer:

$f^{-1}(x)=\pm\sqrt{x+16}$

Step-by-step explanation:

$f(x)=x^2-16$

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

$y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}$

Now, you can swap the variables again and write the function.

$f^{-1}(x)=\pm\sqrt{x+16}$

3 0

3 years ago

A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)

TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function $f(t)$ , $t$ is the independent variable. The domain of $f$ is the set of all values of $t$ that this function can accept.

In this case, $f(t)$ is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

$t \ge 0$ .
$f(t) \ge 0$ .

The first condition is an inequality about $t$ , which is indeed the independent variable.

However, the second condition is about $f$ , the dependent variable of this function. It has to be rewritten as a condition about $t$ .

$\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}$ .

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

6 0

3 years ago

in slope intercept form write the equation of a line that is parallel to 3x - 5y = 7 and passes through (0, -6)

lisov135 [29]

Answer:

The gradient is 3/7 make y the subject. Then put the coordinates in the equation.

Step-by-step explanation:

7 0

3 years ago