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Zina [86]
3 years ago
7

Round 5,403.264 to the nearest hundred.

Mathematics
2 answers:
Stella [2.4K]3 years ago
4 0

The answer is 5,400 because you take out the decimal and the 3 and make it 400 because hats what you do in rounding

Wewaii [24]3 years ago
3 0

i dont know but i really think its 5,403,300

You might be interested in
Of the 80 boys 55% play video games daily .how many boys play video games daily
s2008m [1.1K]
If you would like to know how many boys play video games daily, you can calculate this using the following steps:

55% of 80 = 55% * 80 = 55/100 * 80 = 44

Result: 44 boys play video games daily.
6 0
3 years ago
Read 2 more answers
The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5
notsponge [240]
<h2>                      Question # 1</h2>

Answer:

25 is the factor which grows by between x = 5 and x = 7.

Step-by-step explanation:

Considering the exponential function

f\left(x\right)\:=\:3\left(5\right)^x

The growth factor between x=1 and x=3 is given by:

\left[3\left(5\right)^3\right]\div \left[3\left(5\right)^1\right]

\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^3\right]\::\quad 375

\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^1\right]\::\quad 15

So,

= 375\div \:15

= 25  

Similarly, growth factor between x=5 and x=7 is given by:

\left[3\left(5\right)^7\right]\div \left[3\left(5\right)^5\right]

= \frac{3\cdot \:5^7}{3\cdot \:5^5}

\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1

= \frac{5^7}{5^5}

\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}

\frac{5^7}{5^5}=5^{7-5}

= 5^{7-5}

= 5^2

= 25

Therefore, 25 is the factor which grows by between x = 5 and x = 7.

<h2>                         Question # 2</h2>

Answer:

The population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as y=A\cdot \left(b\right)^t is an exponential function.

The graph for y=A\cdot \left(b\right)^t is also shown in attached figure.

Step-by-step explanation:

  • If a city that currently has a population of 1000 triples in size every 8 years.
  • what will the population be in 24 years?
  • Is the population growth modeled by a linear function or an exponential function?

As the city that currently has a population of 1000 triples in size every 8 years.

So, for this case

y=A\cdot \left(b\right)^t

where

A = Initial population amount

b = growth rate

t = time

Substituting the values in the function

y=A\cdot \left(b\right)^t

y=1000\cdot \:\:3^{\frac{1}{8}t}

So, the population be in 24 years

y=1000\cdot \:\:3^{\frac{1}{8}24}

As

3^{\frac{1}{8}\cdot \:24}=3^3

So

\:y=3^3\cdot 1000

y=1000\cdot \:\:27

y=27000

Therefore, the population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as y=A\cdot \left(b\right)^t is an exponential function.

<h2 /><h2>                       Question # 3</h2>

Answer:

the graph of the function will translate horizontally 3/5 units right.

Step-by-step explanation:

We have to find the effect on the graph of the function f(x)=2x when it is replaced by f(x- 3/5).

We already have an idea that rule for horizontal translation:

  • Given a function f(x), and a constant c > 0, the function g(x) = f(x - a) represents a horizontal shift c units to the right from f(x). The function h(x) = f(x + a) represents a horizontal shift c units to the left.

As 3/5 > 0, so the graph of the function will translate horizontally 3/5 units right.

Therefore, the graph of the function will translate horizontally 3/5 units right.

Keywords: exponential function, translation function, growth factor

Learn more about exponential function and growth factor form brainly.com/question/10147339

#learnwithBrainly

6 0
3 years ago
72
Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
2 years ago
2/5×60 pls help I rlly need this love thx
Vladimir [108]

Answer:

24

Step-by-step explanation:

Convert the 2/5 into a decimal and multiply 0.40×60 to give you 24

4 0
2 years ago
Sarah was cutting fabric for a quilt she cut a strip of fabric that was 19 1/8 inches long into 5 equal pieces when she was fini
Tema [17]
5x + 2 1/4 = 19 1/8
5x + 9/4 = 153/8
5x = 153/8 - 9/4
5x = 153/8 - 18/8
5x = 135/8
x = 135/8 * 1/5
x = 135/40 = 3 3/8 inches <==
6 0
2 years ago
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