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3 years ago

According to the graph, what is the value of the constant in the equation below?

Mathematics

1 answer:

poizon [28]3 years ago

8 0

Answer:

The value of the constant is 0.8

Explanation:

The graph has the following properties:

Horizontal-axis (independent variable): width
Vertical-axis (dependent variable): height
Points on the curve:

(0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)

The equation represented by the graph is an inverse variation:

Height = constant / width.

From that equation, you can solve for the contstant:

constant = height × width

Now, you can take any ordered pair to find the constant:

(0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8
(0.8, 1) ⇒constant = 0.8 × 1 = 0.8
(1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8
(2, 0.04) ⇒ constant = 2 × 0.4 = 0.8

Thus, you have obtained that the constant is 0.8.

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The mass of Saturn is approximately 6 × 10^26 kg, while the mass of Mercury is approximately 3 × 10^23 kg. Which of the followin

yanalaym [24]

The right answer is:

C. The mass of Saturn is approximately two thousand times the mass of Mercury.

Step-by-step explanation:

We will find the ratio of both masses to compare them.

Given

Mass of Saturn = S = $6*10^{26}\ kg$

Mass of Mercury = M = $3 * 10^{23}\ kg$

The ratio of larger mass to smaller is:

$\frac{S}{M} = \frac{6*10^{26}}{3*10^{23}}\\= \frac{6*1000*10^{23}}{3*10^{23}}\\= 2*1000\\=2000\ times$

Hence,

The right answer is:

C. The mass of Saturn is approximately two thousand times the mass of Mercury.

Keywords: Mass, Ratio

Learn more about mass at:

#LearnwithBrainly

5 0

3 years ago

What’s the area of a circle with a radius of 1 meter. Express in terms of pie

Anni [7]

Answer:

A=pi

Step-by-step explanation:

The formula of the area of a circle is A=pi*r^2 where r=radius.

In this problem, you have radius of 1 meter. So just plug that into the equation and solve for the area.

A=pi*(1)^2=pi*1*1=pi*1=pi

A=pi

8 0

3 years ago

The price of a laptop went down by $175. The new price is $950. Which of the expressions shows the price of the laptop before th

Fittoniya [83]

Answer:

950 + 175

Step-by-step explanation:

to find the original price before the sale, you need to add.

5 0

3 years ago

In a recent awards ceremony, the age of the winner for best actor was 35 and the age of the winner for best actress was 54. For

Arada [10]

Answer:

The actress has the more extreme age because

Step-by-step explanation:

Given

Male Athletes:

$x = 35$

$\=x = 42.1$

$SD = 6.6$

Female Athletes

$x = 54$

$\=x = 34.3$

$SD = 10.1$

Required

Determine which athlete had more extreme age

To do this, we simply calculate the standard z score using

$z = \frac{x - \=x}{SD}$

For the actor:

$z = \frac{35 - 42.1}{6.6}$

$z = \frac{-7.1}{6.6}$

$z = 1.0758$

For the actress:

$z = \frac{54 - 34.3}{10.1}$

$z = \frac{19.7}{10.1}$

$z = 1.950$

Comparing both z values;

The actress has the more extreme age because

It has a positive z value
Its z value is greater than that of the actor

6 0

3 years ago

4 (a+3)=36 show all steps

PtichkaEL [24]

$4(a+3)=36$
Delete the parentheses, multiplying with the number of outside, making the set of signals
$4a + 12 = 36$

Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.

$4a = 36 - 12$
$4a = 24$
$a = \frac{24}{4}$
$\boxed{a = 6}$

Confirm that the solution is correct:
$4(a+3)=36$
$4(6+3)=36$
$4(9)=36$
$36=36$ (TRUE)

Answer:
$\boxed{a = 6}$

5 0

3 years ago