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3 years ago

How to write 5x+11x using the distributive property

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

the player will win

Step-by-step explanation:

the team wont win

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Is adding polynomials will always yield a polynomial answer true or false ?

zhuklara [117]

True: adding two polynomials will always result in another polynomial

3 0

2 years ago

On Novermber 27, 1993, the New York times reported that wildlife biologists have found a direct ink between the increase in the

Korolek [52]

Answer:

a. 1 263 888

b. 130 701

c. 72 years

Step-by-step explanation:

a. The differential equation applies here.

Let the quantity increase for a certain time be given by Q(t)

Every unity of time, the quantity increases by $1+\frac{r}{100}$ so that after the time t, the quantity remaining will be given by:

$Q(t) = (1+ \frac{r}{100} )^{t}$

In a similar manner, the quantity R(t) decreases at a rate given by the following expression:

$1-\frac{r}{100}$ and after the time , t the quantity of R remaining will be given by:

$R(t) = (1-\frac{r}{100} )^{t}$

a. To find the population of humans in 1953

$Q(t) = (1+ \frac{r}{100} )^{t}$

1993 - 1953 = 40 years = t

Q(40) = Q× $1.06^{40}$

Q = 1 263 888.44

≈ 1 263 888

b. For bear population in 1993:

$R(t) = (1-\frac{r}{100} )^{t}$

t = 40

R(40) = $b 0.94^{40} = 11 000$

b = 130 700. 889

≈130 701

c. time taken for black bear population number less than 100 is given by:

130 = 11000× $0.94^{t}$

solving using natural logarithms gives t = 72.72666

= 72 years Ans

8 0

2 years ago

True or false?, If I earn 60% more than you,then you must earn 37.5% less than me

neonofarm [45]

Answer:

True

Step-by-step explanation:

We have two salaries:

My salary is A

Your salary is B

If I earn 60% more than you

This means that

$A = (1 + 0.6)B = 1.6B$

You must earn 37.5% less than me

The ratio between your salary and mine is:

$r = \frac{B}{1.6B} = 0.625$

Your salary is 62.5% of mine. So you earn 100-62.5 = 37.5%. So this is true.

7 0

3 years ago

Alan drew a polygon with four sides and four angles. All four sides are equal.None of the angles are right angles.What figure di

lora16 [44]

Alan drew a rhombus, all four side are equal but none of the angles are right.

7 0

2 years ago

In 2000, a company had 1147 stores nationwide. By 2002, this total had grown to 1542. If the number of stores continues to gro

mr_godi [17]

12226 stores will be there in 2016

Solution:

The growth function is given as:

$y = a(1+r)^t$

Where,

y is the future value

a is the initial value

r is the growth rate

t is the number of years

From given,

In 2000, a company had 1147 stores nationwide

By 2002, this total had grown to 1542

Therefore,

y = 1542

a = 1147

t = 2000 to 2002 = 2 years

r = ?

Substituting we get,

$1542 = 1147(1+r)^2\\\\(1+r)^2 = \frac{1542}{1147}\\\\(1+r)^2 = 1.34437$

Taking square root of both sides

$1+ r = 1.1594\\\\r = 1.1594 - 1\\\\r = 0.1594$

If the number of stores continues to grow exponentially at the same rate, how many stores will there be in 2016?

Therefore,

y = ?

a = 1147

r = 0.1594

t = 2000 to 2016 = 16 years

Substituting we get,

$y = 1147(1 + 0.1594)^{16}\\\\y = 1147(1.1594)^{16}\\\\y = 1147 \times 10.6593\\\\y = 12226.3311 \approx 12226$

Thus 12226 stores will be there in 2016

4 0

3 years ago