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hjlf
3 years ago
6

8x + 7y = 2 8x + 3y = 10

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

what do you want from this question?

Step-by-step explanation:

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A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At
Shtirlitz [24]

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

8 0
3 years ago
Susan keeps track of the high and low temperatures every day for a week. The following table shows her data what is the average
uysha [10]

Answer:

10.75

Step-by-step explanation:

To get the average, we always SUM UP all the numbers and divide by the number of numbers.

We do this for "change" row since we want average of "change".

Let's add up all the changes:

11 + 12 + 10 + 10 + 11 + 10 + 11 = 75

How many numbers are there?

There are 7 numbers

Now, the average:

Average = Sum/Number of Numbers

Average = \frac{75}{7}=10.75

The average = 10.75

4 0
3 years ago
Tell me how you solved thanks
Allushta [10]
A. Similar triangles have equal angles even though they're not the same size that was similar means So then

X^2-5x=4x+36
X^2-5x-4x-36=0
X^2-9x-36=0
(X-12)(x(+3)
X=12. X=3

Angle C and angle F are equal
So 4(12)-5=43
4 0
3 years ago
A Cylinder has a base radius of 7m and a height of 14m. what is its volume in cubic in to the nearest tenths place
Mars2501 [29]

Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

7 0
3 years ago
On the grid, sketch a graph to represent
Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;

\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance  \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}

The plot of the above point is completed using MS Excel as shown in the attached diagram.

7 0
3 years ago
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