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BabaBlast [244]
2 years ago
9

Pleeeeeseee have to finish before 3:00

Mathematics
1 answer:
aleksley [76]2 years ago
5 0

Answer:

175.9

Step-by-step explanation:

AL=2πrh=2·π·4·7≈175.92919 rounded to the nearest tenth would be 175.9

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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
Find the value of x.
photoshop1234 [79]

Answer:

Step-by-step explanation:

When two chords intersect inside the circle, the product of their segments are equal.

BE * ED = AE * EC

x *3x = 4 *3

3x²   = 12 {Divide both sides by 3}

  x² = 12/3

  x² = 4

  x = √4

  x = 2

5 0
2 years ago
Read 2 more answers
Find the next two terms. 81, 27, 9, ?, ?
Nataly_w [17]

Answer:

3 and 1

Step-by-step explanation:

Similarly each term is 1/3 of the previous term. This is a geometric sequence.

9/3 = 3

3/3 =1

3 0
2 years ago
Im happy today what about you
VARVARA [1.3K]

Answer:

yess queen

Step-by-step explanation:

why not

8 0
2 years ago
Read 2 more answers
Evaluate the expression: -0.75 - (-1 7/8)
m_a_m_a [10]

Answer:

9/8

Decimal form: 1.25

Mixed Number form: 1 1/8

Good luck, hope this helped!

4 0
2 years ago
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