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Finger [1]
3 years ago
9

Archie has a bag of grass seed that he will use to cover a new field. The bag contains information about the area of the ground

to be covered and the number of scoops of grass seed needed, as shown in the table below.
What is the constant of proportionality between the number of square yards of grouse to be covered and the number of scoops of grass seed needed?

Mathematics
1 answer:
gladu [14]3 years ago
8 0

25:1 is the constant of proportionality between the number of square yards of grouse to be covered and the number of scoops of grass seed needed.

This was found by reducing the any of the 4 provided proportions, each would end up leading you to 25/1


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The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.
Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

\frac{dy}{dx} is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

\frac{d}{dx}(ax^{n} ) = nax^{n-1}

\frac{dy}{dx} = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into \frac{dy}{dx}

4a + b = 3 → (1) and substitute x = 2 into y

4a + 2b = - 2 → (2)

Subtract ( 1) from (2)

b = - 2 - 3 = - 5

Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

7 0
3 years ago
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude
liberstina [14]

Answer:

y=90x+2,000

Step-by-step explanation:

90 is the rate of change because the hot air balloon descends 90 feet per minute.

And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

6 0
3 years ago
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The sum of 2 of the exterior angles of a triangle is 222 degrees. What is the measure of the third exterior angle?
zysi [14]

Answer:

Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138

Step-by-step explanation:

360 - 222 = 138

the answer to your question is 138degrees.

For any shape the exterior angles will always add up to 260 degrees.

Hope this helps in the future!

5 0
3 years ago
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07.04 Similar triangle
tatiyna

Answer:

Can you please give more information about the question?

Step-by-step explanation:

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andrew11 [14]

Answer:12

Step-by-step explanation:

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3 years ago
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