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VashaNatasha [74]
3 years ago
13

This is the graph of f(x). What is the value of f(3)? A. 8 B. 6 C. 3 D:5

Mathematics
1 answer:
Andreyy893 years ago
4 0
Since we can find that the graphs Y value is by a factor of 2 looking at the graph we can find
f(3)=8
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The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
snow_lady [41]

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

7 0
3 years ago
Total Price: The sales tax rate is 8%. If the sales tax on a 10-speed bicycle is $12, what is the purchase price? The purchase p
stepladder [879]

Answer:

Purchase Price = $150 and Total Price = $162

Step-by-step explanation:

Purchase price = Tax Amount / Tax Percentage (as decimal)

Purchase Price = $12 / .08

Purchase Price = $150

Total Price = Purchase Price + Tax

Total Price = 150 + 12 = $162

I hope this helps!

-The Business Man

7 0
3 years ago
If angle a and angle b are complementary angles, they they share a common side.
Snezhnost [94]

Answer:

False.

Step-by-step explanation:

A complementary angle is an angle where two seperate angles add together for a 90 degree angle. They usually share a side, but not always.

3 0
3 years ago
Read 2 more answers
Could someone please help me with this
arsen [322]

Hey!

-------------------------------------------------

Point Slope Form: y - 7 = -5/2(x + 4)

Slope-intercept Form: y = mx + b

m = slope

b = y-intercept

We can automatically eliminate Option A and B because they are both written in point slope form when the questions asks for slope-intercept form.

We can also eliminate option C because the slope in the equation doesn't match the slope in the equation above.

-------------------------------------------------

Answer:

y = -5/2x - 3

-------------------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
In triangle MNP, what is the measure of angle N?
liberstina [14]

Answer:

76 degrees

Step-by-step explanation:

enjoy fellow bridgers

4 0
3 years ago
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