All categories

2 years ago

Can someone pls help?

Mathematics

1 answer:

likoan [24]2 years ago

3 0

Answer:

Step-by-step explanation:

If you think of the x-axis as your horizontal line, you can see that there is more than one value for x for y=0.

For instance, (-2,0), (0,0), (0,2).

You might be interested in

A parabolic arch sculpture is on top of a city bank. A model of the arch is y = −0.005x2 + 0.3x where x and y are in feet.

o-na [289]

Answer:

A. a. 34.5 feet

b. 60 feet

Step-by-step explanation:

Parabola equation

$y=-0.005x^2+0.3x$

Differentiating with respect to x we get

$\dfrac{dy}{dx}=-0.01x+0.3$

Equating with zero

$-0.01x+0.3=0\\\Rightarrow -0.01x=-0.3\\\Rightarrow x=\dfrac{0.3}{0.01}\\\Rightarrow x=30$

Double derivative of the parabolic equation

$\dfrac{d^2y}{dx^2}=-0.01$

So, $x=30$ is maximum.

$y=-0.005\times 30^2+0.3\times 30\\\Rightarrow y=4.5$

So, the maximum height of the arch will be 4.5 feet.

From the ground the highest point of the arch will be $30+4.5=34.5\ \text{ft}$

We are taking the x axis as the width of the bank.

$0=-0.005x^2+0.3x\\\Rightarrow 0.005x^2=0.3x\\\Rightarrow x=\dfrac{0.3}{0.005}\\\Rightarrow x=60$

So, the width of the bank will be 60 feet.

7 0

2 years ago

There are 56 students in the orchestra and twice that number in the band. There are 23 boys and 24 girls in the choir. If each s

enyata [817]

Answer:

There are 214 total students in the band, orchestra, and choir altogether.

Step-by-step explanation:

Band: 112

Orchestra: 56

Choir: 23 boys 23 girls - 46 total

In the band, 112 kids.

In the orchestra, 56.

In the choir, 23+23=46 total

So, if we'd like to set up an equation to solve this and make it a little easier to understand,

We can assign variables. x, y, and z for example.

Population of the band is x, orchestra receives y, and choir receives z.

This question asks simply for a total, and makes sure to specify that these kids do not share hobbies in order to make it easier to achieve that goal. Because z (the number of kids in the orchestra) is already the combination of boys and girls, our equation to reach the answer (which we will call M for Music Kids, or money if you'd like) is simple.

x + y + z = M

In this equation, there is only one variable we have yet to uncover, so all we need to do is substitute the remaining three.

So, here's the full explanation in math terms.

band kids: x

orchestra kids: y

choir kids: z

x = 112

y = 56

z = 23 + 23 = 46

z = 46

M = ?

x + y + z = M

// unknown: M //

// substitute known variables //

112 + 56 + 46 = M

// simplify //

M = 214

Final Answer: there are 214 total students in the band, orchestra, and choir altogether.

7 0

3 years ago

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

Margarita [4]

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

3 0

2 years ago

Write an integral in polar coordinates equivalent to the following:

Alex73 [517]

The region is a segment of a circle with radius √2 lying above the line $y=1$ . In polar coordinates, this line has equation

$y = r\sin(\theta) = 1 \implies r = \csc(\theta)$

and the circle has equation

$x^2+y^2 = r^2 = 2 \implies r=\sqrt2$

The two curves meet when

$\csc(\theta) = \sqrt2 \implies \sin(\theta) = \dfrac1{\sqrt2} \implies \theta = \dfrac\pi4 \text { or } \theta = \dfrac{3\pi}4$

Then the same integral in polar coordinates is

$\displaystyle \int_{-1}^1 \int_1^{\sqrt{2-x^2}} xy \, dy \, dx = \boxed{\int_{\pi/4}^{3\pi/4} \int_{\csc(\theta)}^{\sqrt2} r^3 \cos(\theta) \sin(\theta) \, dr \, d\theta}$

4 0

1 year ago

Answer ASAP BRAINLIEST 20 POINTS

AleksandrR [38]

Answer:

1/2x plus -2

Step-by-step explanation:

5 0

3 years ago