All categories

3 years ago

Which linear equation best fits the data ?

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

Answer:

${ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}$

You might be interested in

The meaning of a positional argument is determined by:

Zanzabum

An argument is a variable, value or object passed to a function or method as input. Positional arguments are arguments that need to be included in the proper position or order

5 0

3 years ago

What is the sum of a 7-term geometric series if the first term is -6, the last term is -24,576, and the common ratio is 4?

Zanzabum

<h3><u>Answer:</u></h3>

Hence, the sum of a 7-term geometric series is:

-32766.

<h3><u>Step-by-step explanation:</u></h3>

We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.

We know that the sum of the 7-term geometric series is given as:

$S_n=a\times (\dfrac{r^n-1}{r-1})$

On putting the value of a,n and r in the given formula we have:

$S_7=(-6)\times (\dfrac{4^7-1}{4-1})\\\\\\S_7=-32766$

Hence, the sum of a 7-term geometric series is:

-32766.

3 0

4 years ago

Read 2 more answers

Mrs Davis worked 42 hr 35 min last week how many hours and minutes did she average in each of the five days

gayaneshka [121]

Answer:

8 hours and 31 minutes per day

Step-by-step explanation:

$\implies 42 \text{hours} \times 60\text{minutes}=2,250 \text{minutes}$

$\implies2,520 +35 = 2,555$

$\implies 2,555 /5 = 511$

$\implies 511/60 = 8 \frac{31}{60} = 8\text{hours}, 31 \text{minutes per day}$

3 0

2 years ago

Read 2 more answers

Find the volume of the solid that lies inside both the cylinder x 2 y 2 = 1 and the sphere x 2 y 2 z 2 = 16

IrinaVladis [17]

The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16 is 24.74 cubic units.

<h3>What is the volume of the solid?</h3>

Find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16

From the sphere and cylinder, the cylindrical coordinate will be

$z = \pm \sqrt{16 - r^2}$

And the radius of the cylinder is |r| < 1 and the 0 ≤ θ ≤ 2π.

Then the volume will be given as

$\rm V = \int _0^{2\pi} \int _0^1 \int _{- \sqrt{16 - r^2}}^{\sqrt{16-r^2}} \left ( r \ dz \ dr \ d\theta \right ) \\\\\\V = 2\pi \int_0^1 \left ( 2r\sqrt{16-r^2} \right ) \ dr\\\\\\V = 4\pi \left [ -\dfrac{1}{3} (16 - r^2)^{3/2} \right ]\\\\\\V = \dfrac{4\pi}{3} \left ( 16^{3/2} - 15^{3/2} \right )\\\\\\V = 24.74$

More about the volume of the solid link is given below.

brainly.com/question/23705404

#SPJ4

7 0

2 years ago

PLS HELP 6th grade, I WILL MARK U AS BRAINLIEST PLSSS

Sergio [31]

Answer:

1.75

Other Answer:

1 3/4

7 0

3 years ago