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hjlf
3 years ago
7

Kyla spends 60 Minutes of each day exercising. Let d be the number of days that Kyla exercises, and let m represent the total nu

mbers of exercise and given time frame. Show the relationship between the number of days that Kyla exercise in the total minutes that she exercises. What is the Independent variable, Dependent variable and the Equation?
Mathematics
1 answer:
stealth61 [152]3 years ago
7 0

Answer: There is linear relationship between the number of days that Kyla exercise in the total minutes that she exercises.

The independent variable is 'd' and m is the dependent variable which depends on the number of days she exercise.

The linear equation for the situation is given by

m=60d

Step-by-step explanation:

Let d be the number of days that Kyla exercises, and let m represent the total numbers of minutes she exercise.

Kyla spends 60 Minutes of each day exercising which is constant .

Then the total numbers of minutes she exercise(m) in d days is given by

m=60d which is the linear equation.

The relationship between the number of days that Kyla exercise in the total minutes that she exercises is linear, where d is the independent variable, and m is the dependent variable which depends on the number of days she exercise.

[ad d increases m increases by rate of 60 minutes per day]

The linear equation for the situation is given by

m=60d

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Find the volume of the cylinder.
Aneli [31]

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is \pi r^2 h. We can use the given values for radius and height to find the volume of the cylinder.

<h3>Finding the Volume</h3>

V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16

The volume of the cylinder is 144π or 452.16 units³.

4 0
2 years ago
Un polígono regular está inscrito en una circunferencia. ¿Qué medida del polígono es igual al radio de la circunferencia?
vlabodo [156]

Answer:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también <em>radio</em>.

Step-by-step explanation:

La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también <em>radio</em>.

4 0
3 years ago
Fill in the missing terms of the arithmetic sequence,<br> -7. 1,5-13
LenKa [72]

Answer:

-3, 9

Step-by-step explanation:

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7 0
3 years ago
A scientist is growing bacteria in a lab for study. One particular type of bacteria grows at a rate of y=2t^2+3t+500. A differen
Leya [2.2K]

ANSWER

Approximately after 15 minutes.

EXPLANATION

The growth rate of the first bacteria is

y = 2 {t}^{2}   + 3t + 500

The growth rate of the first bacteria :

y = 3 {t}^{2}  + t + 300

To find the time that, there will be an equal number of bacteria, we equate the two equation;

3 {t}^{2}  + t + 300 = 2 {t}^{2}   + 3t + 500

3 {t}^{2}  - 2 {t}^{2}   + t  - 3t +  300 - 500 =00

{t}^{2}  - 2t  - 200= 0

We solve for t to get,

t = 15.177

Or

t =  - 13.177

We discard the negative value.

This implies that,

t \approx15

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3 years ago
A car traveled from Los Angeles to San Francisco in 6 hours at an average rate of x miles per hour. If the car returned along th
Alenkinab [10]

Answer:

A

Step-by-step explanation:

What we need to know simply is the time taken for both trips. We know the car spent 6 hours on the first leg, that is settled.

What we do not know is the time spent on the second leg. To get the time spent on the second leg of the journey, we only need to get the total distance divided by the speed.

We can get the distance using the first part of the question. The time is 6 hours and the speed is x miles per hour, the total distance is this 6x miles.

Now we need to know the time spent on the second leg of the journey. We know that the distance is the same. Hence the time spent is 6x/y where y is the speed for the second leg and 6x is the length of each leg

Now the total time spent is thus (6x/y +6) hours. We need to however convert this to minutes. We do this by multiplying by 60

(6x/y + 6) * 60

4 0
3 years ago
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