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3 years ago

Suppose f(x)=x^2-1find the graph of f(3x)

Mathematics

1 answer:

RideAnS [48]3 years ago

7 0

The answer would be f(x)=9 because when you substitue the 3 in for 'x' you then square the 3.
Hope this helps!

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What is half of a teaspoon of vanilla

Ksivusya [100]

Answer:

I believe the answer would be: Half of a teaspoon of vanilla.

Step-by-step explanation:

6 0

3 years ago

What is the factored form of -7y-y^2=0

Sveta_85 [38]

Factor out like terms
-y(7+y)=0

4 0

3 years ago

Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

3 years ago

A bank charges a service fee of 70.50 per month for a checking acount

timurjin [86]

The months till the account stability is terrible is 1.3 months.

<h3>What is account stability?</h3>

In banking, the account stability is the amount of coins you have were given available on your checking or economic financial savings account.
Your account stability is the net amount available to you anyways deposits and credit score had been balanced with any costs or debits.
Your economic organization account balance suggests you methods a brilliant deal coins you have were given on your account.
That coins is there for you withdraw or depart in place, likely with a view to collect interest payments on it.
The answer isn't always truely yes, though, because of the truth your balance might not be exactly what it seems.
The available balance can be taken out of the account in cash at an ATM or with a economic organization teller.
The debit card transfers coins from the coins inside facet the checking account.

To learn more about account stability from the given link:

brainly.com/question/13387881

#SPJ13

4 0

1 year ago

A multiple-choice standard test contains total of 25 questions, each with four answers. Assume that a student just guesses on ea

weqwewe [10]

Answer:

a) 8*88*10⁻⁶ ( 0.00088 %)

b) 0.2137 (21.37%)

Step-by-step explanation:

if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then

P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of questions= 25

p= probability of getting a question right = 1/4

then

a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)

b) P(x<5)= F(5)

where F(x) is the cumulative binomial probability distribution- Then from tables

P(x<5)= F(5)= 0.2137 (21.37%)

7 0

3 years ago