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sveta [45]
2 years ago
15

Sandra and Monica are both saving money. The equation y = 82x

Mathematics
1 answer:
Tanya [424]2 years ago
7 0

Answer:

B

Step-by-step explanation:

328= 82 x 4

348/4 = 87

87 - 82 = 5

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To find the extreme values of a function​ f(x,y) on a curve xequals​x(t), yequals​y(t), treat f as a function of the single vari
pychu [463]

Answer:

Absolute maximum is 2  

Absolute minimum at -2

Step-by-step explanation:

The given parametric functions are:

x=2\cos t,y=2\sin t

By the chain rule:

f'(t)=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }

\frac{df}{dt} =\frac{2 \cos t}{-2\sin t} =-\cot(t)

At fixed points, f'(t)=0

\implies -\cot (t)=0

This gives t=\frac{\pi}{2} ,\frac{3\pi}{2} on 0\le t\le 2\pi

This implies that the extreme points are (2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2) and (2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)

By eliminating the parameter, we have x^2+y^2=4

This is a circle with radius 2, centered at the origin.

Hence (0,2) is an absolute maximum ,at t=\frac{\pi}{2} and (0,-2) is an absolute minimum at  t=\frac{3\pi}{2}

7 0
3 years ago
Al washed a car in 6 minutes. Fred washes the same car in 8 min. How long dies it take Al and Fred to wash the car together?
Roman55 [17]
In\ 1min\ Al\ wash\ \frac{1}{6}\ car.\\In\ 1min\ Fred\ wash\ \frac{1}{8}\ car\\\\Together\ in\ 1min:\frac{1}{6}+\frac{1}{8}=\frac{4}{24}+\frac{3}{24}=\frac{7}{24}\ car\\\\Answer:Al\ and\ Fred\ wash\ the\ car\ in\ \frac{24}{7}min=3\frac{3}{7}min\approx3.5min
3 0
3 years ago
Question 1 of
AnnyKZ [126]

Answer:

5L/2 < 100

Step-by-step explanation:

Let's get started!

Let :

⇒ Length = L

⇒ Width = L/4

It mentions the perimeter must be less than 100 inches.

Perimeter Formula :

<u><em>Perimeter (Rectangle) = 2(Length + Width)</em></u>

Then, the inequality formed will be :

⇒ 2 (L + L/4) < 100

⇒ 2 (5L/4) < 100

⇒ 10L/4 < 100

⇒ 5L/2 < 100

3 0
2 years ago
Read 2 more answers
7p²-30p + 8 how do you factor this trinomial
tamaranim1 [39]

Step-by-step explanation:

7p²-30p+8

=(p-4)(7p-2)

8 0
3 years ago
The manager of a shopping mall distributed a customer-satisfaction survey by handing it to people as they came through one of th
Tresset [83]

Answer:

The correct option is D.  No, because a random sample from all customers of the shopping mall was not selected

Step-by-step explanation:

In statistics, Bias can be described as a term which depicts error if a sample is not taken evenly or it depicts errors taken from an unjust sampling.

In statistics, sampling bias means the errors which occur if one part of the population is favoured more then the rest of the populations. In this kind of bias, the individuals for experimentation are not chosen randomly.

As the customer satisfaction survey was distributed in only one of the gates hence, it does not give a generalized result and the result is biased.

6 0
3 years ago
Read 2 more answers
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