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3 years ago

Quincy claims that if 80 coats are sold, the outside temperature is likely to be about 42°

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

7 0

Answer:

C- No Quincy should have used the trend line to find the corresponding x value when y=80

Step-by-step explanation:

i just did it

nikklg [1K]3 years ago

6 0

No. Quincy should have used the trend line to find the corresponding x value when y=80.

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A car leaving a stop sign accelerates constantly from a speed of 0 feet per second to reach a speed of 44 feet per second. The d

Nikolay [14]

Answer:

Option C.

Step-by-step explanation:

The distance of the car from the stop sign, d , in feet, at time t , in seconds, can be found using the equation

$d=1.1t^2$

The average rate of change of a function f(x) on [a,b] is

$m=\dfrac{f(b)-f(a)}{b-a}$

We need to find the average speed of the car, in feet per second, between t=2 and t=5.

At t=2,

$d=1.1(2)^2=4.4$

At t=5,

$d=1.1(5)^2=27.5$

The average speed of the car, in feet per second, between t=2 and t=5 is

$\text{Average speed}=\dfrac{d(5)-d(2)}{5-2}$

$\text{Average speed}=\dfrac{27.5-4.4}{3}$

$\text{Average speed}=\dfrac{23.1}{3}$

$\text{Average speed}=7.7$

The average speed of the car, in feet per second, between t=2 and t=5 is 7.7 feet per second.

Therefore, the correct option is C.

5 0

3 years ago

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)

sashaice [31]

Answer:

$f(x) = x^3 -sinx +Cx+D$

Step-by-step explanation:

Given that:

$f ''(x)= 6x +sinx$

We are given the 2nd derivative of a function f(x) and we need to find f(x) from that.

We will have to integrate it twice to find the value of f(x).

Let us have a look at the basic formula of integration that we will use in the solution:

$1.\ \int {(a\pm b)} \, dx =\int {a} \, dx + \int {b} \, dx \\2.\ \int {x^n} \, dx = \dfrac{x^{n+1}}{n+1}+C\\3.\ \int {sinx} \, dx = -cosx+C\\4.\ \int {cosx} \, dx = sinx+C$

$\int\ {f''(x)} \, dx =\int\ {(6x +sinx)} \, dx \\\Rightarrow \int\ {6x} \, dx + \int\ {sinx} \, dx \\\\\Rightarrow 6\dfrac{x^2}{2} -cosx +C\\\Rightarrow 3{x^2} -cosx +C\\\Rightarrow f'(x)=3{x^2} -cosx +C\\$

Now, integrating it again to find f(x):

$f(x) =\int {f'(x)} \, dx =\int{(3{x^2} -cosx +C)} \, dx \\\Rightarrow \int{3{x^2}} \, dx -\int{cosx} \, dx +\int{C} \, dx\\\Rightarrow 3\times \dfrac{x^3}{3} -sinx +Cx+D\\\Rightarrow x^3 -sinx +Cx+D\\\\\therefore f(x) = x^3 -sinx +Cx+D$

5 0

4 years ago

Guy wants to swim 500 meters. After 75 meters, he takes a break. What percent of his goal has he already met?

babymother [125]

Answer:

15%

Step-by-step explanation:

75/500=0.15=15%

8 0

3 years ago

What is the slope of the line shown below?

crimeas [40]

(-7,2)(4,6)
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 2) / (4 - (-7) = 4 / (4 + 7) = 4/11

5 0

3 years ago

Read 2 more answers

What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2 ?

vagabundo [1.1K]

Answer: -2

Step-by-step explanation: The average rate of a function f(x) from x=a to x=b is given as:

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

Hence, the average rate of change is calculated as:

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is:

-2

5 0

3 years ago