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3 years ago

Select the scenario that correctly represents the given graph.

Mathematics

1 answer:

Mashcka [7]3 years ago

5 0

Answer:

C. The vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.

Step-by-step explanation:

See how the graph is in a "U" shape? That tells us that it first decreases and then goes back up at some point.

The way you would find this answer is to go through each scenario (A, B, C, and D) and think about which thing would make sense to go down and then up.

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Population Growth The population of a town of 5000

Nesterboy [21]

Answer:

a) $A=5000{(1.03)}^{t}$

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

$A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)$

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

$A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}$

b) Apply the formula:

$A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464$

The town will have 5464 inhabitants.

5 0

3 years ago

In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is . Th

ivann1987 [24]

We know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians

the answer part 1) is 0.57 radians

part 2)
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²

the answer Part 2) is 14 ft²

3 0

3 years ago

THE FUNCTION! f(x) = x^2+4 is defined over the interval (-2,2). If the interval is dived into n equal parts what is the height o

Svetradugi [14.3K]

Answer:

-2+k.5/n

Step-by-step explanation:

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3 0

2 years ago

Keith thinks of a number. When he multiples the number by 6 and subtracts 19.85 from the product, he gets 29.77. Find the number

kirill115 [55]

let the number be X

6x-19.85=29.77

6x=29.77+19.85

6x=49.62

x=8.27

Hope that helps :)

-Asmaa Ghazzawi

8 0

3 years ago

When the center line is one solid yellow line and one broken yellow line, who may cross the line to pass?

Serjik [45]

Answer:

the side with the yellow broken line

Step-by-step explanation:

Solid yellow line: No passing when solid yellow line is on your side. Double solid lines: No vehicle may pass. Broken yellow line: May pass if movement can be made in safely. Many roads have two or more lanes going in your direction.

3 0

3 years ago