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3 years ago

Answer with explanation please!

Mathematics

1 answer:

VLD [36.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

8x + 15 is an external angle of the triangle, thus

8x + 15 = 3x + 20 + 4x + 5, that is

8x + 15 = 7x + 25 ( subtract 7x from both sides )

x + 15 = 25 ( subtract 15 from both sides )

x = 10

Thus none of them on the list → E

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Calculate the loan and interest to be paid back if a man borrows 150,000 Naira for 10 years at 5% simple interest

MatroZZZ [7]

Answer:

41550

Step-by-step explanation:

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2 years ago

At 1 p.M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% eac

Zinaida [17]

Answer: y = 54(1.06)^t

Step-by-step explanation:

It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 54

r = 6% = 6/100 = 0.06

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2 years ago

Complete the solution of the equation. Find the

forsale [732]

Answer:

y = -2

Step-by-step explanation:

Put x as -19 and solve for y.

2(-19) - 5y = -28

Multiply.

-38 - 5y = -28

Add 38 on both sides of the equation.

-5y = -28 + 38

-5y = 10

Divide both sides by -5.

y = 10/-5

y = -2

3 0

3 years ago

Read 2 more answers

40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

3 years ago

1 tree makes approximately 230 newspapers. Estimate (by rounding each number to 1 S.F.) how many newspapers 56 trees will make.

andriy [413]

Answer:

56 trees will make 10000 newspapers.

Step-by-step explanation:

Given:

One tree makes approximately 230 newspapers.

Now, for estimating how many newspapers will be made with 56 trees.

By multiplying $56$ trees with $230$ newspapers we get,

$56\times230=12880$ .

And, rounding $12880$ to one significant number (1 S.F.) is $10000$ .

Therefore, 56 trees will make 10000 newspapers.

7 0

3 years ago

Read 2 more answers