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3 years ago

Which of the following pairs of units of measurement are equivalent to each other?

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

The correct options are:

cubic decimeter and liter
cubic centimeter and milliliter

Step-by-step explanation:

1) The 1 cubic decimeter is equal to the 1 liter.

$dm^3= 1 L$

2) The 1 cubic centimeter is equal to the 1 milliliter.

$cm^3=1 mL$

3) Since,1 cubic decimeter is equal to the 1 liter.

So, $dm\neq 1L$

4) Since, 1 quart = 0.946353 L

$quart\neq liter$

5) Since,The 1 cubic centimeter is equal to the 1 milliliter.

So, 1 millimeter ≠ 1 deciliter

6) Since,1 gram = 0.035274 ounces

So, 1 gram ≠ 1ounce

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Help! graph Y - 2 = -3/4 (X-6). please use the graph I provided

Fiesta28 [93]

A graph of this equation y - 2 = -3/4(x - 6) is shown in the image attached below.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rearrange and simplify the given given equation in slope-intercept form in order to enable us plot it on a graph:

y - 2 = -3/4(x - 6)

Opening the bracket, we have:

y - 2 = -3x/4 + 18/4

y = -3x/4 + 18/4 + 2

y = -3x/4 - 26/4

y = -3x/4 - 13/2

Therefore, the slope is equal to -3/4 and the y-intercept is equal to -13/2.

In conclusion, we can logically deduce that the graph representing the given linear equation does not show a proportional relationship between the value of x and y.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

3 0

1 year ago

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

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

3 0

3 years ago

The function f(t) = t2 + 6t − 20 represents a parabola.

Charra [1.4K]

For t²+6t-20=0 (to find the vertex, or rather the x intercepts), we can add 20 to both sides to get t²+6t=20. Since 6/2=3, we can square 3 to get 9. Adding 9 to both sides, we get t²+6t+9=20+9=29=(t+3)². Finding the square root of both sides, we get t+3=+-√(29). Subtracting 3 from both sides, we get t=+-√(29)-3=either √(29)-3 or -√(29)-3. We have -√(29)-3 due to that t can either be negative or positive. Finding the average of the two numbers, we have
(√(29)-3)+(-√(29)-3./2=-6/2=-3, which is our t value of our vertex and since it's t² and based around t, that is our axis of symmetry. To find the y value of the vertex, we simply plug -3 in for t to get 9+(6*-3)-20=9-18-20=-29, making our vertex (-3, -29)

8 0

3 years ago

Read 2 more answers

Find the value of x. 8,13,x

yawa3891 [41]

Answer:

x=18

Step-by-step explanation:

<u>Key skills needed: Arithmetic Sequences, Addition</u>

1) We have a sequence of 8,13,x

2) To find the number being added every time, we do 13-8. This is 5.

3) This means x would be 13+5

4) 13+5 is 18 so x is 18.

<em>Hope you understood and have a nice day!! :D</em>

8 0

3 years ago

Factorise 4x^2-y^2 please help

kotegsom [21]

Answer:

(2x + y)(2x - y)

Step-by-step explanation:

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula <em>x² - y² = (x + y)(x - y)</em>:

(2x + y)(2x - y)

hope this helps!

8 0

2 years ago