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Rom4ik [11]
3 years ago
11

Below is the table of values of a function.

Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

n - 4

Step-by-step explanation:

6 - x  = 2

8 - x  = 4

9 - x  = 5

n - x = ?

->

x = 4

n - 4

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The population of a small industrial town was 12 910 in 2000. Each year, the population
balandron [24]

The population in the year 2020 is 4628

<h3>How to determine the population?</h3>

The given parameters are:

Initial, a = 12910

Rate, r = 5%

Since the population decreases, then we make use of an exponential decay function.

This is represented as:

f(n) = a * (1 - r)^n

So, we have:

f(n) = 12910 * (1 - 5%)^n

Evaluate the difference

f(n) = 12910 * 0.95^n

2020 is 20 years from 2000.

So, we have:

f(20) = 12910 * 0.95^20

Evaluate

f(20) = 4628

Hence, the population in the year 2020 is 4628

Read more about exponential functions at:

brainly.com/question/14355665

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6 0
1 year ago
Prove that 5^7+5^6 is divisible by 6.
Valentin [98]

Answer:

5^7+5^6 = 93750

93750/6 = 15625

Hence 5^7+5^6 is divisible by 6.

Step-by-step explanation:

3 0
3 years ago
At a restaurant, Natalie and her nine friends decided to divide the bill evenly. If each person paid $9.62, then what was the bi
spayn [35]

Answer: 96.20 should be the answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Complete the missing parts of the paragraph proof. Draw a perpendicular from P to AB. Label the intersection C. We are given tha
zvonat [6]
<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.

</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent. 
 
2) We know that angles PCA and PCB are right angles by the definition of perpendicular.

Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
 
3) PC ≅ PC by the reflexive property congruence.

The reflexive property congruence states that any shape is congruent to itself.

4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent). 

CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
 
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector. 

<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
6 0
3 years ago
Read 2 more answers
The subject of the formula below is y.<br>a=4x/t - p<br>Rearrange the f make x the subject.​
Crazy boy [7]

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

4 0
2 years ago
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