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2 years ago

Write in ascending order: 45.32, 4.532, 5.324, 54.32

Mathematics

2 answers:

AlekseyPX2 years ago

8 0

<h2>Answer: 4.532 < 5.324 < 45.32 < 54.32</h2>

<em>Step by step explanation-</em>

In order to arrange any set of given number in ascending order follow the below steps,

Identify the smallest and largest number in given set
Arrange all the numbers in this set according to their magnitude
Use a less than symbol (<) between each number where point of symbol will be toward smaller number.

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andre [41]2 years ago

3 0

Answer:

4.532, 5.324, 45.32, 54.32

Step-by-step explanation:

Ascending order: arranged in a series that begins with the least or smallest and ends with the greatest or largest

You might be interested in

Write N as a discrete exponential function of t of the form N(t)=A(1+r)t. (HINT: You will need to find (1+r), where r is the rat

Whitepunk [10]

Answer:

$N(t)=84(1+0.0405)^t$ .

Step-by-step explanation:

We have been given that $N(11)=130$ and $N(0)=84$ . We are asked to write N as a discrete exponential function of t of the form $N(t)=A(1+r)^t$ .

Using our given information, we can set an equation as:

$N(0)=A(1+r)^0$

$84=A*1$

$84=A$

Using our given information, we will get:

$N(11)=A(1+r)^{11}$

Substitute the given values:

$130=84(1+r)^{11}$

$\frac{130}{84}=\frac{84(1+r)^{11}}{84}$

$1.5476190476190476=(1+r)^{11}$

Switch sides:

$(1+r)^{11}=1.5476190476190476$

Take 11th root of both sides:

$\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}$

$1+r=1.04050024747304$

$r=1.04050024747304-1$

$r=0.04050024747304$

$r\approx 0.0405$

Therefore, our required function would be $N(t)=84(1+0.0405)^t$ .

5 0

2 years ago

A production line produces 12 cd players every 4 hr. how many players can it produce in 37 hr?

zloy xaker [14]

Since its not an even number it would be 432

8 0

3 years ago

What is 33 over 16 in a decimal

TiliK225 [7]

Answer:

2.0625

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

4 0

3 years ago

A rectangular area is to be fenced in with 300 feet of chicken wire. find the maximum area that can be enclosed.

GarryVolchara [31]

Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.

2(x+y) = 300
x+y = 150
y = 150-x

A=x(150-x) <--(substitution)

The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150

So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.

A=75(150-75)
A=75*75
A=5625

So the maximum area that can be enclosed is 5625 square feet.

6 0

3 years ago

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

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

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

$\:y=3^3\cdot 1000$

$y=1000\cdot \:\:27$

$y=27000$

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

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6 0

3 years ago