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3 years ago

Equivalent ratio

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

6 0

Answer:

D.) 1:6

E.) 8:48

Step-by-step explanation:

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Calculus: Help ASAP

Serggg [28]

$\bf \displaystyle \int\limits_{-1}^{0}~(4x^6+2x)^3(12x^5+1)\cdot dx\\\\
-------------------------------\\\\
u=4x^6+2x\implies \cfrac{du}{dx}=24x^5+2\implies \cfrac{du}{2(12x^5+1)}=dx\\\\
-------------------------------\\\\
\displaystyle \int\limits_{-1}^{0}~u^3\underline{(12x^5+1)}\cdot\cfrac{du}{2\underline{(12x^5+1)}}\implies \cfrac{1}{2}\int\limits_{-1}^{0}~u^3\cdot du\\\\
-------------------------------\\\\$

$\bf \textit{now, we'll change the bounds, using u(x)}
\\\\\\
u(-1)=4(-1)^6+2(-1)\implies u(-1)=2
\\\\\\
u(0)=4(0)^6+2()\implies u(0)=0\\\\
-------------------------------\\\\
\displaystyle \cfrac{1}{2}\int\limits_{2}^{0}~u^3\cdot du\implies \left. \cfrac{1}{2}\cdot \cfrac{u^4}{4} \right]_{2}^{0}\implies \left. \cfrac{u^4}{8} \right]_{2}^{0}\implies [0]-[2]\implies -2$

5 0

3 years ago

The product of two fractions that are each between 0 and 1 is also between 0 and 1.Is this true or false?

Ksenya-84 [330]

True

merry Christmas and a happy new year :)

7 0

3 years ago

Read 2 more answers

A solid with two parallel and congruent bases cannot be which of the following?

natka813 [3]

<span> D. Pyramid
...........
</span>

5 0

3 years ago

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

Katena32 [7]

Correct Question:

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y3$

Options

$x^2y^2$ $x^3y^3$ $7xy^2$ $7x^0y^3$

Answer:

$x^2y^2$

Step-by-step explanation:

Given

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

Required

Fill in the missing gap

We have that:

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.

Hence, the variable of the polynomial is x

This implies that the power of x decreases by 1 in each term.

The missing gap has to its left, a term with x to the power of 3 and to its right, a term with x to the power of 1.

This implies that the blank will be filled with a term that has its power of x to be 2

From the list of given options, only $x^2y^2$ can be used to complete the polynomial.

Hence, the complete polynomial is:

$8x^3y^2 -x^2y^2+ 3xy^2 - 4y3$

4 0

3 years ago

Read 2 more answers

What is the equation for the line? enter your answer in the box

Igoryamba

To get the equation of the line, you need two points that belong to this line.
From the given graph, we can choose any two points: (0,-4) and (-2,0)

The general for of the linear straight line is:
y = mx + c where m is the slope and c is the y-intercept

First, we will calculate the slope using the following rule:
slope = (y2-y1) / (x2-x1)
slope (m) = (0--4) / (-2-0) = 4/-2 = -2
The equation of the line now is: y = -2x + c

Then, we will get the value of the c. To do so, we will choose any point and substitute in the equation. I will choose the point (0,-4)
y = -2x + c
-4 = -2(0) + c
c = -4

Based on the above calculations, the equation of the line is:
y = -2x - 4

7 0

3 years ago