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2 years ago

50 Points!!!

Mathematics

1 answer:

OLEGan [10]2 years ago

5 0

Step-by-step explanation:

(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain

For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:

x: number of hours studied.

y: test scores.

The linear relationship would be of the form:

y = mx + b

(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?

y = 8x + 40

For three hours of study we have that the note would be approximate:

y = 8 * (3) + 40

y = 64

The number 40 means that if you do not devote any study time, then you expect the test score to be 40.

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Choose the equation that matches the following situation: For a field trip, 24 students rode in cars and the rest filled three b

olchik [2.2K]

Answer:

96 = 24 + 3b

96 students in all, 24 in cars and the rest in 3 buses

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3 years ago

A man travelled 3/5 of his journey by rail, 1/4 by a taxi, 1/8 by a bus and the remaining 2 km on foot.What is the length of his

docker41 [41]

Hello friend,here is the solution

Let x be the total distance 

Distance travelled by rail = 3/5 x 

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Distance travelled by bus = 1/8 x 

The equation we obtain is 
========================

x = 3/5 x + 1/4 x + 1/8 x +2 

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7 0

3 years ago

1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$