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3 years ago

A skydiver with an open parachute descends at a constant speed. The altitude of the skydiver changes by -144 feet in 6 seconds

Mathematics

1 answer:

pogonyaev3 years ago

5 0

Answer:

-24

Step-by-step explanation:

If you decend -144 feet in 6 seconds, by 10 to get what you descend in 60 seconds= -1440. Then divide -1440 by 60 to get -24 feet each second.

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Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Whi

Romashka [77]

Answer:

$\bf \displaystyle\frac{5+1}{2}=\displaystyle\frac{6}{2}=3$

Step-by-step explanation:

The x-intercepts are the values of x for which y=0, that is f(x)=0.

The x-intercepts of

$\bf f(x)=4x^2-24x+20$

are the values of x such that

$\bf 4x^2-24x+20=0$

Divide both sides by 4 to simplify a little

$\bf x^2-6x+5=0$

Solve the quadratic equation

$\bf x=\displaystyle\frac{-(-6)\pm\sqrt{(-6)^2-4*1*5}}{2*1}=\displaystyle\frac{6\pm\sqrt{36-20}}{2}=\\\\=\displaystyle\frac{6\pm\sqrt{16}}{2}=\displaystyle\frac{6\pm4}{2}$

and you get the 2 x-intercepts

x =10/2 and x = 2/2

x = 5 and x = 1

The average is the midpoint

$\bf \displaystyle\frac{5+1}{2}=\displaystyle\frac{6}{2}=3$

7 0

3 years ago

Read 2 more answers

A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme

Ipatiy [6.2K]

Answer:

See below

Step-by-step explanation:

Gas in liquid state at

- 40° F < t < 140° F

The graph is the line segment from the point -40 to 140 on the number line, with both points open circles and shaded in between those 2 points

Solution set is all numbers greater that -40 and smaller than 140.

-49° F is smaller than -40° F, so the gas would freeze

8 0

4 years ago

What is the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5%?

erica [24]

Answer:

Principal = 3500

Time = 8 years

We are given that compound quarterly

So, No. of compounds per year = 2

Rate of interest = 5%

Formula : $A=P(1+\frac{r}{n})^{nt}$

Substitute the values :

$A=3500(1+\frac{0.05}{2})^{2 \times 2}$

$A=3863.345$

Interest = 3863.345 - 3500 = 363.345

Hence the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5% is $3863.345 and the interest that was made on that account mentioned is $363.345

8 0

4 years ago

Data collected on the discharge of the Colorado River and speed are given in the table:

Julli [10]

Answer:

0.67; The least-squares regression line, given by ŷ = 3.95 + 0.67x, is not a good fit for the data.

Step-by-step explanation:

Plot the data in a spreadsheet and insert a trendline. The line of best fit is y = 0.67x + 3.95. The r² value is 0.67.