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2 years ago

If the slope of line m is 2/5, what is the slope of a line that is parallel

Mathematics

1 answer:

kramer2 years ago

5 0

2/5. Two line have the same slope if they are parallel to each other.

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Which is the correct algebraic expression for the phrase, 14 more pickles than the first jar?

KIM [24]

Answer:A

Step-by-step explanation:

6 0

2 years ago

Determine the point estimate of the population proportion, the margin of error

ahrayia [7]

Answer:

$\hat p=0.645\\\\ME=0.233\\\\x=645 \ individuals$

Step-by-step explanation:

-Given the boundaries as 0.412 and 0.878

- $\hat p$ is the point estimate for the population proportion and is calculated as follows:

$\hat p=\frac{Upper \ Bound+Lower \ Bound}{2}\\\\=\frac{0.878+0.412}{2}\\\\=0.645\\\\$

#The margin of error, ME can be calculated for the confidence intervals using the formula:

$ME=\frac{Upper \ Bound-Lower \ Bound}{2}\\\\=\frac{0.878-0.412}{2}\\\\=0.233$

#The number of individuals in the sample is the product of the point estimate and population size:

$\hat p=\frac{x}{n}\\\\x=\hat pn\\\\=0.645\times 1000\\\\=645$

Hence, there are 645 individuals in the sample.

8 0

2 years ago

A 13 meter long cylinder with a diameter of 8 meters has a square prism with a base length of 3 meters hole going all the way th

BartSMP [9]

The volume of the solid is 626.12m³

<h3>Volume of composite solids.</h3>

The volume of the given composite solid = volume of cylinder - volume of cube

The volume of cylinder Vc = πr²h

Vc = 3.14(8/2)²(13)

Vc = 3.14(16)(13)

Vc = 653.12 m³

Similarly the volume of the cube:

Volume of cube = 3³

Volume of cube = 27 m³

Volume of the solid = 626.12m³

Hence the volume of the solid is 626.12m³

Learn more on volume of composite solid here; brainly.com/question/9076728

3 0

2 years ago

A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.

Harman [31]

Answer:

Step-by-step explanation:35x

6 0

2 years ago

Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pai

DerKrebs [107]

Answer:

The motion of the particle describes an ellipse.

Step-by-step explanation:

The characteristics of the motion of the particle is derived by eliminating $t$ in the parametric expressions. Since both expressions are based on trigonometric functions, we proceed to use the following trigonometric identity:

$\cos^{2} t + \sin^{2} t = 1$ (1)

Where:

$\cos t = \frac{y-3}{2}$ (2)

$\sin t = x - 1$ (3)

By (2) and (3) in (1):

$\left(\frac{y-3}{2} \right)^{2} + (x-1)^{2} = 1$

$\frac{(x-1)^{2}}{1}+\frac{(y-3)^{2}}{4} = 1$ (4)

The motion of the particle describes an ellipse.

7 0

2 years ago