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3 years ago

Gladys has just purchased a new home. The house was priced at $105,000,

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

Answer: the answer is C

Step-by-step explanation: AP3X

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What is the average rate of change over the interval (-1, 5)

MArishka [77]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the function is not given. However, the following explanation will guide you.</em>

The average rate of change is calculated using;

$A = \frac{f(b) - f(a)}{b - a}$

Where

$(a,b) = (-1,5)$

Take for instance;

The function is:

$f(x) = 2x$

We have to solve for f(-1) and f(5);

i.e.

$f(-1) = 2 * -1 -2$

$f(5) = 2 * 5 = 10$

Substitute -1 for a and 5 for b

$A = \frac{f(b) - f(a)}{b - a}$

$A = \frac{f(5) - f(-1)}{5 - (-1)}$

$A = \frac{f(5) - f(-1)}{5 +1)}$

$A = \frac{f(5) - f(-1)}{6}$

Substitute values for f(5) and f(-1)

$A = \frac{10 - (-2)}{6}$

$A = \frac{10 +2}{6}$

$A = \frac{12}{6}$

$A = 2$

<em>Apply this steps in your work</em>

5 0

3 years ago

An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of s 46° e to a location i

liubo4ka [24]

The total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

<h3>Total distance</h3>

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

Learn more about total distance here:brainly.com/question/4931057

#SPJ1

4 0

2 years ago

Samia created the following tables of values for a linear system. She concluded that there is no

DaniilM [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

1. Let f(x, y) be a differentiable function in the variables x and y. Let r and θ the polar coordinates,and set g(r, θ) = f(r co

Olenka [21]

Answer:

$g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}\\$

Step-by-step explanation:

First, notice that:

$g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}cos(\frac{\pi}{4}),\sqrt{2}sin(\frac{\pi}{4}))\\$

$g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}(\frac{1}{\sqrt{2}}),\sqrt{2}(\frac{1}{\sqrt{2}}))\\$

$g(\sqrt{2},\frac{\pi}{4})=f(1,1)\\$

We proceed to use the chain rule to find $g_{r}(\sqrt{2},\frac{\pi}{4})$ using the fact that $X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta)$ to find their derivatives:

$g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\$

Because we know $X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta)$ then:

$\frac{\delta x}{\delta r}=cos(\theta)\ and\ \frac{\delta y}{\delta r}=sin(\theta)$

We substitute in what we had:

$g_{r}(r,\theta)=f_{x}( rcos(\theta),rsin(\theta))cos(\theta)+f_{y}(rcos(\theta),rsin(\theta))sin(\theta)$

Now we put in the values $r=\sqrt{2}\ and\ \theta=\frac{\pi}{4}$ in the formula:

$g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=f_{x}(1,1)cos(\frac{\pi}{4})+f_{y}(1,1)sin(\frac{\pi}{4})$

Because of what we supposed:

$g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=-2cos(\frac{\pi}{4})+3sin(\frac{\pi}{4})$

And we operate to discover that:

$g_{r}(\sqrt{2},\frac{\pi}{4})=-2\frac{\sqrt{2}}{2}+3\frac{\sqrt{2}}{2}$

$g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}$

and this will be our answer

3 0

3 years ago

Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of

Bond [772]

Given:
420 tropical fishes
angel fish = x
parrot fish = 6x

x + y = 420
y = 6x Choice D.

x + y = 420
y = 6x

x + 6x = 420
7x = 420
x = 420 / 7
x = 60 number of angelfish

y = 6x
y = 6(60)
y = 360 number of parrot fish

7 0

3 years ago