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Nina [5.8K]
2 years ago
12

A line and the point (3,4) are graphed in the coordinate plane. what is the equation of the line that passes through the point (

3,4) and is parallel to the line shown
A. y= 1/4x+3
B. y=1/4x+13/4
C. y=4x+3
D.y=4x+13/4

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
3 0

Answer:

B. y=1/4x+13/4

Step-by-step explanation:

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Although the concept here is physics, the solution is technically just algebra. You have two situations that are related to each other which can be expressed in equation form. Actually, the equation is already given which is <span>7/12 w= 13 5/12. So, basically, all you have to do is solve for w.

Let's simplify 13 5/12 first into an improper fraction.You do this by multiplying the denominator with the whole number and adding to it the numerator. This will be your new numerator, The denominator would still be 12. So, this is equal to (12*13 + 5)/12 = 161/2. Then,

(7/12) w = 161/12

By cross multiplication,

7*12*w = 161*12
w = 161/7 = 23

Therefore, w = 23 pounds which is the weight of the object on Earth.


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8 0
3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Only 1 try
vagabundo [1.1K]

Using the shell method, the volume is

\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx

Each cylindrical shell has radius 2-x (the horizontal distance from the axis of revolution to the curve y=8x^3); has height 8x^3 (the vertical distance between a point on the x-axis in 0\le x\le1 and the curve y=8x^3).

Compute the integral.

\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}

6 0
2 years ago
What is the answer ​
dybincka [34]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were teste
iogann1982 [59]

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

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SST = 330

(2)

Sum of Squares of Error (Within Subjects):

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(3)

Mean Squares Treatment (Between Subjects):

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Hello there!

Number 2 certainly isn't an x or y intercept since it isn't meeting with any axis, however, it is the vertex of the parabola as shown in the graph.

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