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3 years ago

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Mathematics

1 answer:

wlad13 [49]3 years ago

4 0

I don’t known ok do you know?

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You buy some post cards at 55cents each and one newspaper for 35cents. Which could be used to determine the number of post cards

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Kryger [21]

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3 years ago

The value of a vintage car over time is represented by the function V(t)=24,300(1.37)t , where t is the time in years. What is t

Nimfa-mama [501]

Answer:

For the function V(t)=24300(1.37)t, the rate of increase is 37%.

Step-by-step explanation:

The function represents the value (V) of the car over time (t). This type of function is exponential growth, which means for each year, the value of the vintage car will increase by a rate of 37%. Exponential growth functions are represented by the equation f(x)=ab^x, where 'a'=initial value, 'b'=the rate and 'x' represents time. In this case, our initial value of the car is $24,300 and the rate is 1.37. A rate of 1.37 indicates that the car will retain its initial value (1) as well as increase be an additional 37 percent (.37) over time.

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3 years ago

Find the indefinite integral by using the substitution x = 4 sec(θ). (Use C for the constant of integration.) x2 − 16 x d

guapka [62]

Answer:

$\frac{x^2-16}{2} + 16ln\frac{4}{x} +16C$

Step-by-step explanation:

Given the indefinite integral $\int\limits{\frac{x^2-16}{x} } \, dx$ , using the substitute

x = 4 sec(θ)...1

The integral can be calculated as thus;

First let us diffrentiate the substitute function with respect to θ

dx/dθ = 4secθtanθ

dx = 4secθtanθdθ... 2

Substituting equation 1 and 2 into the integral function we will have;

$\int\limits{\frac{(4sec \theta)^2-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{16sec^2 \theta-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{(16(sec^2 \theta-1)}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\from \ trig \ identity,\ sec^2 \theta - 1 = tan^\theta\\\\\int\limits{\frac{16 tan^2 \theta}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\\int\limits 16 tan^3 \theta d \theta\\\\$

Find the remaining solution in the attachment.

3 0

3 years ago

I need help with this plz.

pogonyaev

Move each point 3 spaces to the right and connect the dots

4 0

3 years ago

Read 2 more answers