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3 years ago

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04.Um rojão acoplado a fogos de artifício é lançado de um penhasco, 25 metros acima de um lago. O rojão cairá no lago após explo

dir ao atingir sua altura máxima. A altura h do rojão, em metros, em relação à superfície do lago é dada por h(t) = –5t2 + 20t + 25, em que t é o tempo, em segundos, a partir do instante de lançamento. Considerando essas informações, pode-se afirmar que o rojão atingirá o lago a) 5 segundos após o lançamento. B) 2 segundos após o lançamento. C) 1 segundos após o lançamento. D) 1 segundos antes do lançamento. E) 4 segundos após o lançamento.

1 answer:

In-s [12.5K]3 years ago

7 0

Answer:

hhhhhhhhhhdbfhrkuvn

Step-by-step explanation:

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Ben has $100 to go shopping. Does he have enough money to buy a $20 and a $72 pair of shoes if there is an 8.5% tax

Juli2301 [7.4K]

So, we first add the 20 and 72 together and you will get 92.

What I like to do next is usually 92/100x8.5. The tax would be then 7.82

92 + 7.82 = 99.82 < 100

The answer is yes.

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3 years ago

Which ordered pair is a solution of the equation -x-4y=-10

Ilia_Sergeevich [38]

Answer:

There are many possible solutions. Here are some:

(-2,12) (2,2) (6,1) (10,0) (-6,4)

Step-by-step explanation:

hope it helps

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3 years ago

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What is the perimeter of the quadrilateral 9m 5m 7m 11m

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2 years ago

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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

There's 40 students on the team 22 are girl what percent are boys

Klio2033 [76]

Answer:

45% are boys

Step-by-step explanation:

because 18/40 = 45%

7 0

2 years ago