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2 years ago

What is another way to write the equation

Mathematics

1 answer:

White raven [17]2 years ago

4 0

Answer:

the 2nd one

Step-by-step explanation:

all the other ones don't make 6

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The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.

tigry1 [53]

The slope of this linear equation that models the data indicate: B. the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

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

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of any straight line can be calculated by using this formula;

$Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Substituting the given points into the formula, we have;

Slope = (5 - 5.5)/(10 - 5)

Slope = -0.5/5

Slope = -0.1.

In conclusion, we can infer and logically deduce that the slope of this linear equation that models the data indicate the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

Read more on linear function here: brainly.com/question/6978079

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7 0

1 year ago

Please help my brain is melting.....

tia_tia [17]

The answer is D. If you plug in -6 for x (the x-value where the asymptote lies), only this equation will yield 1/0 for x=6. This means that D is the correct answer.

5 0

3 years ago

A random sample of 31 charge sales showed a sample standard deviation of $50. a 90% confidence interval estimate of the populati

Marysya12 [62]

The $100(1-\alpha)\%$ confidence interval of a standard deviation is given by:

$\sqrt{ \frac{(n-1)s^2}{\chi^2_{1- \frac{\alpha}{2} } }} \leq\sigma\leq\sqrt{ \frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2} } }}$

Given a sample size of 31 charge sales, the degree of freedom is 30 and for 90% confidence interval,

$\chi^2_{1- \frac{\alpha}{2} }=43.773 \\ \\ \chi^2_{\frac{\alpha}{2} }=18.493$

Therefore, the 90% confidence interval for the standard deviation is given by

$\sqrt{ \frac{(31-1)50^2}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(31-1)50^2}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{(30)2500}{43.773 }} \leq\sigma\leq\sqrt{ \frac{(30)2500}{18.493 }} \\ \\ \Rightarrow\sqrt{ \frac{75000}{43.773 }} \leq\sigma\leq\sqrt{ \frac{75000}{18.493 }} \\ \\ \Rightarrow \sqrt{1713.38} \leq\sigma\leq \sqrt{4055.59} \\ \\ \Rightarrow41.4\leq\sigma\leq63.7$

3 0

3 years ago

Annual revenue for Corning Supplies grew by 5.5% in 2007; 1.1% in 2008; -3.5% in 2009; -1.1% in 2010; and 1.8% in 2011. What is

ANTONII [103]

Answer:

The mean growth annual rate over this period is 0.0036

Step-by-step explanation:

we know that

The mean growth annual rate is calculated as the sum of each year's growth rate divided by the number of years

$\frac{5.5\%+1.1\%-3.5\%-1.1\%+1.8\%}{5}=0.36\%$

Convert to decimal form

$0.36\%=0.36/100=0.0036$

therefore

The mean growth annual rate over this period is 0.0036

6 0

3 years ago

Point T is on line segment SU. Given ST=2x+6, TU=4, and SU=4x, determine the numerical length of ST.

serg [7]

The numerical length of ST is 16

<h3>How to determine the numerical length of ST?</h3>

The given parameters are:

ST = 2x + 6

TU = 4

SU = 4x

The above parameters can be represented as:

SU = ST + TU

This gives

4x = 2x + 6 + 4

Evaluate the like terms

2x = 10

Divide by 2

x= 5

Substitute x= 5 in ST = 2x + 6

ST = 2 * 5 + 6

Evaluate

ST = 16

Hence, the numerical length of ST is 16

What is another way to write the equation ​

What is another way to write the equation