All categories

2 years ago

What is the slope of a line perpendicular to the line whose equation is x+3y=-12

Mathematics

1 answer:

kolezko [41]2 years ago

5 0

Answer: 3

Step-by-step explanation:

Find slope of that line which is -1/3x-4

then flip its sign and the equation to get 3

You might be interested in

Math question #1 please show steps

-Dominant- [34]

Answer:

Step-by-step explanation:

An approximation of an integral is given by:

$\displaystyle \int_a^bf(x)\, dx\approx \sum_{k=1}^nf(x_k)\Delta x\text{ where } \Delta x=\frac{b-a}{n}$

First, find Δx. Our a = 2 and b = 8:

$\displaystyle \Delta x=\frac{8-2}{n}=\frac{6}{n}$

The left endpoint is modeled with:

$x_k=a+\Delta x(k-1)$

And the right endpoint is modeled with:

$x_k=a+\Delta xk$

Since we are using a Left Riemann Sum, we will use the first equation.

Our function is:

$f(x)=\cos(x^2)$

Therefore:

$f(x_k)=\cos((a+\Delta x(k-1))^2)$

By substitution:

$\displaystyle f(x_k)=\cos((2+\frac{6}{n}(k-1))^2)$

Putting it all together:

$\displaystyle \int_2^8\cos(x^2)\, dx\approx \sum_{k=1}^{n}\Big(\cos((2+\frac{6}{n}(k-1))^2)\Big)\frac{6}{n}$

Thus, our answer is C.

*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.

5 0

2 years ago

Find two consecutive odd numbers such that the sum of the first number and one-third of the second number is equal to fifty. 35

kobusy [5.1K]

The answer is 37 and 39.
(39/3)+37= 50

4 0

2 years ago

Read 2 more answers

Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.

olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

$MC(q) = 200*(q+9)^{-5}$

The total cost function is the integrative of the marginal cost function. So:

$TC(q) = \int {MC(q)} \, dq$

$TC(q) = \int {200*(q+9)^{-5}} \, dq$

$TC(q) = -50*(q+9)^{-4} + K$

In which K, the integrative constant, is the fixed cost. So $K = 4000$ .

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

$TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99$

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

8 0

3 years ago

Evaluate the expression below at x=5

Citrus2011 [14]

5 is the answer to the promblem

5 0

2 years ago

I need help pleessse

wariber [46]

Answer:

1. 8/3

2. 1/7

3. 1/12

4. 1/27

Step-by-step explanation:

1. 3/8 * m = 1

Multiply by 8/3

8/3 * 3/8 m = 1* 8/3

m = 8/3

2. 7 * m = 1

Divide by 7

7*m /7 = 1/7

m = 1/7

3. 3 ÷m = 36

Multiply by m

3 ÷m * m = 36*m

3 = 36*m

Divide by 36

3/36 = 36*m/26

1/12 = m

4. 4/9 ÷m = 12

Multiply by m

4/9 ÷m * m = 12*m

4/9 = 12*m

Multiply by 1/12

4/9 *1/12 = 12*m * 1/12

4/12 *1/9 = m

1/3*1/9 =m

1/27

4 0

3 years ago