All categories

3 years ago

PLEASE ANSWER I WILL RANK AND THANK

Mathematics

1 answer:

cestrela7 [59]3 years ago

8 0

X + 4y = 9 Convert to slope / intercept form:-

y = (-1/4)x + 9/4

so the line perpendicular to this will have a slope -1 /(-1/4) = 4

so our equation will be y - y1 = 4(x - x1) where x1y1 is a point on the line.
x1 = 8 and y1 = -3:-
y - -3 = 4(x - 8)

y = 4x - 35
-4x + y = -35 is the answer

You might be interested in

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

6 0

3 years ago

Mt. Pleasant elemantry School was collecting canned food. The chart below shows how much food they collected over 3 weeks the ca

n200080 [17]

Just -: by 8 I think

4 0

3 years ago

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

vivado [14]

The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

$\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}$

Thus the value of secant theta is $\sqrt{2}$

Learn more about the tangent theta here;

brainly.com/question/29190

4 0

2 years ago

Read 2 more answers

What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)

rjkz [21]

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³

C) 209 mm³ is a required answer.

3 0

3 years ago

Read 2 more answers

Find the area of each parallelogram plz help

xxTIMURxx [149]

Answer: The area of the parallelogram is:
_______________________________________________________
$\frac{9393}{8}$ in² = 1174 ⅛ in² = 1174.125 in² .
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
A = base * height = b * h ;

From the figure (from the actual "question"):
_______________________________________
b = 50.5 in.

h = 23.25 in.
____________________________________________________________
Method 1) A = b * h =

= (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as: 1174 ⅛ .
____________________________________________________________
Method 2) A = b * h =

= (50 ½ in) * (23 ¼ in) =

= ( $\frac{101}{2}$ in) * ( $\frac{93}{4}$ in) ;
___________________________________________________________
Note: "50 ½ " = [(50*2) + 1 ] / 2 = $\frac{101}{2}$ ;

Note: "23 ¼ " = [(23*4) + 1 ] / 4 = $\frac{93}{4}$ ;
____________________________________________________________
→ A = ( $\frac{101}{2}$ in) * ( $\frac{93}{4}$ in) ;

→ A = $\frac{(101*93)}{(2*4)}$ in² = $\frac{9393}{8}$ in² ;

→ A = (9393/8) in² =

→ A = $\frac{9393}{8}$ in² = 1174 ⅛ in² = 1174.125 in² .
________________________________________________________

5 0

3 years ago