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3 years ago

Choose the polynomial that is written in standard form 7x^5+8x^8+27x

Mathematics

1 answer:

Nataliya [291]3 years ago

8 0

Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3

Step-by-step explanation:

In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.

Then the correct option is d.

Where the degree of the first term is (4 + 1) = 5

The degree of the second term is (2 + 2) = 4

The degree of the third therm is 3.

We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:

-3*x^4*y + 2*x^2*y^2 + 5*y^3

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Nataly_w [17]

Answer:it would be 15cm^2 I think

Step-by-step explanation:

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3 years ago

Alex purchased a new car for $28,000. The car's value depreciates 7.25% each year. What will be the value of the car 5 years aft

Vlad1618 [11]

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3 years ago

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Let c be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. find the exact length of c from t

Mandarinka [93]

Parameterize the intersection by setting $x(t)=t$ , so that

$x^2=2y\iff y=\dfrac{x^2}2\implies y(t)=\dfrac{t^2}2$
$3z=xy\iff z=\dfrac{xy}3\implies z(t)=\dfrac{t^3}6$

The length of the path $C$ is then given by the line integral along $C$ ,

$\displaystyle\int_C\mathrm dS$

where $\mathrm dS=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$ . We have

$\dfrac{\mathrm dx}{\mathrm dt}=1$
$\dfrac{\mathrm dy}{\mathrm dt}=t$
$\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{t^2}2$

and so the line integral is

$\displaystyle\int_{t=0}^{t=2}\sqrt{1^2+t^2+\dfrac{t^4}4}\,\mathrm dt$

This result is fortuitous, since we can write

$1+t^2+\dfrac{t^4}4=\dfrac14(t^4+4t^2+4)=\dfrac{(t^2+2)^2}4=\left(\dfrac{t^2+2}2\right)^2$

and so the integral reduces to

$\displaystyle\int_{t=0}^{t=2}\frac{t^2+2}2\,\mathrm dt=\dfrac{10}3$

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3 years ago

A camp director reviews the supply of string used for bracelet making. The graph shows the relationship between the number of ya

DanielleElmas [232]

Answer:

✅The point (4, 6) can be represented by the ratio, 4:6, and means 4 yards of strings made 6 bracelets.

✅The point (6, 9) can be represented by the ratio, 6:9, and means 6 yards of strings made 9 bracelets.

Step-by-step explanation:

The relationship between the number of yards of string used (x) and the number of the bracelets made (y) is a proportional relationship as shown by the given graph. The number of bracelets made is dependent on the number of strings used.

In terms of this situation, the two points on the graph mean the following:

✅The point (4, 6) can be represented by the ratio, 4:6, and means 4 yards of strings made 6 bracelets.

✅The point (6, 9) can be represented by the ratio, 6:9, and means 6 yards of strings made 9 bracelets.

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3 years ago

What is the circumference of the pizza?

IgorLugansk [536]

The circumference of the pizza is 37.7 inches

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3 years ago

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