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Likurg_2 [28]
2 years ago
10

A railway system on a hillside moves passengers at a constant rate to an elevation of 50 m. The elevations of a train are given

for 2 different
locations.
a. Write an equation in point-slope form to represent the elevation of the train in terms of time. How can the equation be used to find the rate
of increase in elevation of the train in meters per second?
b. At what elevation does the train start initially? Write a linear equation in a form that gives the information as part of the equation. Explain
your reasoning
a. If x is the time in seconds and y is the elevation of the train in meters, then represents the elevation of the train in terms of time.
(Type an equation. Type your answer in point-slope form. Use integers or decimals for any numbers in the equation.)
Mathematics
2 answers:
Bingel [31]2 years ago
6 0

Answer:

<em>part a) y</em>

<em>-9=0.4(x-14.5)</em>

<em>part b) slope= 0.4</em>

<em>part c) 3.2 meters</em>

<em>final answer is y=0.4x+3.2( slope-intercept )</em>

Step-by-step explanation:

hope that help :)

Brut [27]2 years ago
4 0
8-4x(3x^2+5)-2(x+7) is equivalent
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Consider circle O below. The length of arc BA is 8.4 cm and the length of the radius is 8 cm. The measure of angle AOC is 45°. C
denis23 [38]

Answer:

i) 60°

ii) 14.7 cm

Step-by-step explanation:

length of Arc BA = 8.4 cm

length of radius = 8 cm

angle AOC = 45°

BO = AO = CO = 8 cm

<u>i) What is the measure of Angle BOA </u>

= length of Arc BA  / Radius

= 8.4 / 8  = 1.05 radians = 60.16° ≈ 60°

<u>ii) what is the length of arc BAC</u>

= radius * angle BAC  * \pi /180

angle BAC = angle AOC + angle BOA

                  = 45° + 60° = 105°

hence length of arc BAC

= 8 * 105 * \pi /180

≈ 14.7 cm

3 0
2 years ago
Read 2 more answers
If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in
Svetradugi [14.3K]

Answer:

The total number of elements in the sample space if the experiment has 3 stages is 64 ....

Step-by-step explanation:

The answer is C.

According to the given statement the number of equally likely sample outcomes of a single stage of an experiment is 4

To find the total number of elements in the sample space if the experiment has 3 stages, we just simply multiply 4 three times.

4³ = 4*4*4

= 64

Therefore  the total number of elements in the sample space if the experiment has 3 stages is 64 ....

6 0
2 years ago
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A landscape supply business charges $35 to deliver mulch. The cost of the mulch is $29.
Scorpion4ik [409]

Answer:

$209

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

Let

x ----> the volume of mulch in cubic yards

y ----> the total cost in dollars

we have that

The slope of the linear equation is

m=29\ \frac{\$}{yd^3}

b=\$35 ----> flat fee to deliver mulch

The linear equation is

y=29x+35

For x=6 yd^3

substitute in the equation and solve for y

y=29(6)+35

y=\$209

4 0
2 years ago
Ellie has a delivery van which she is going to deliver boxes each box is a cuboid brain.ly 45cm by 40cm by 35cm the space in the
jek_recluse [69]

Answer:

It will take Ellie 64 minutes to put as many boxes as possible.

Step-by-step explanation:

Let us work with meters.

The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( <em>to convert from centimeters to meters we just divide by 100, because 1m =100cm).</em> therefore the volume of each box is:

<em>V_{box}=0.45m*0.40m*0.35m=0.063m^3</em>

Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume V_{van} is:

V_{van}=3.6m*1.6m*2.1m=12.096m^3.

So the amount of boxes that Ellie can put in the van is equal to the volume of the van V_{van} divided by the volume V_{box} of each box:

\frac{V_{van}}{V_{box}} =\frac{12.096}{0.063}=\boxed{192\:boxes }

So 192 boxes can be put into the van.

Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:

\frac{192boxes}{3boxes/minute} =\boxed{64\:minutes}

So it takes Ellie 64 minutes to put as many boxes into the van as she can.

4 0
2 years ago
What is the volume of the pyramid?
s2008m [1.1K]

Answer:

16\sqrt{3} cm^{3}

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. </em>

<em>What is the volume of the pyramid?</em>

My answer:

As we know, The volume of a pyramid = \frac{1}{3}base area × its height

Given:

  • Side lenght of the base is; 4\sqrt{3} cm

=> The area of the base is 12\sqrt{3} cm^{2}

  • In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°

We use: tan(30) = \frac{BC}{AC}

<=> BC = 4\sqrt{3}*tan(30)

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = \frac{1}{3} 12\sqrt{3} cm^{2} * 4 cm

= 16\sqrt{3} cm^{3}

5 0
2 years ago
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