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skad [1K]
3 years ago
12

Which composite function can be used to find the

Mathematics
1 answer:
eduard3 years ago
4 0

Given:

The mass function is:

m(v)=4.5v

where v is the volume in cubic centimeters.

The force function is:

F(m)=800m

To find:

The composite function can be used to find the force of the object based on its volume.

Solution:

The composite function can be used to find the force of the object based on its volume is:

F(m(v))=F(4.5v)              [\because m(v)=4.5v]

F(m(v))=800(4.5v)              [\because F(m)=800m]

F(m(v))=3600v

Therefore, the correct option is D.

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Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil
Ahat [919]

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

P(X\leq x)=1-e^{\frac{-x}{\lambda}}, where \lambda is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire :  \lambda=\text{42,000 miles }

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

8 0
3 years ago
Maria es una estudiante de la seccion 7-9 que le gusta leer mucho. Actualmente lee un libro que tiene 288 paginas, silee 12 pagi
dmitriy555 [2]

Responder:

24 días

Explicación paso a paso:

Dado que:

Total de páginas = 288

Número de páginas leídas por día = 12

Número de días que se necesitarán para leer el libro completo:

Total de páginas / número de páginas leídas por día

288/12

= 24

Por lo tanto, a María le tomará 24 días leer el libro completo, si lee 12 páginas del libro por día.

4 0
2 years ago
BRAINLIEST!!! Plz help ASAP
Svetllana [295]

Answer: R = (4, 5)

Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,

x coordinate- (6+x)/2=5

                        x=4

y coordinates- (9+y)/2=7

                         y=5

And therefore R is (4, 5)

6 0
3 years ago
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
Allushta [10]

Answer:

The general term for the sequence can be given by the following formula:

a_n=2\,n+9

Step-by-step explanation:

If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.

Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:

a_n=a_1\,+\,(n-1)\,d\\a_n=11\,+\,(n-1)\,2\\a_n=11+2\,n-2\\a_n=2\,n+9

5 0
3 years ago
[ please help! ] The graph below shows a line segment PQ.
Tpy6a [65]

Answer:

Slope of the line segment PQ is 1/2.

Step-by-step explanation:

We are given with a line connecting two points P and Q.

The coordinates of P are (4,4) and the coordinates of Q are (-2,1).

Slope of line joining two points (x_{1},y_{1}) and (x_{2},y_{2})

is given by the formula \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Hence the slope of the line PQ is \frac{1-4}{-2-4}=\frac{-3}{-6}= \frac{1}{2}

Therefore correct option is 'C' that is 1/2.

4 0
3 years ago
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