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pickupchik [31]
3 years ago
12

Question in photo! (Please help with other questions!)

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

<u>b) </u>a_{n}<u> = 2 + 2/5n</u>

Step-by-step explanation:

<u>Given :-</u>

a = 12/5

d = 2/5

<u>To Find :-</u>

<u />a_{n}

<u>Solving :-</u>

<u />a_{n} = a + (n - 1)d

= 12/5 + 2/5n - 2/5

= 2 + 2/5n

<u>Solution :-</u>

<u>b) </u>a_{n}<u> = 2 + 2/5n</u>

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A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His
sergejj [24]

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

6 0
3 years ago
Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh
Sergio039 [100]

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 3\times 21=63 inches.

Now we need to convert 63 inches into feet.  

12 inches = 1 feet

63 inches = \frac{63}{12}  feet = 5.25 feet.

We are also told that Maria has \frac{3}{4} foot of trim left, so total length of trim would be trim used plus trim left that is 5.25+\frac{3}{4}=5.25+0.75=6 feet.

Since we need to find length of trim in yards, so we will convert 6 feet into yards.

3 feet = 1 yard

6 feet = \frac{6}{3} yards = 2 yards

Therefore, the length of the trim was 2 yards.

5 0
4 years ago
I need help please thanks
strojnjashka [21]

Answer:

y = 1/2x + 0

You can see the slope is rising by 1 and running (to the right) by 2. This makes the slope, or rate of change, 1/2x.

There aren`t really calculations necessary to find the rate of change, but if you need more explaining please do ask, I`m happy to help

4 0
3 years ago
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce t
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3 years ago
Find the slope of the line graphed
k0ka [10]

Answer:

the slope of the line is -2

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3 years ago
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