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Verizon [17]
3 years ago
8

Calculate the sum of the infinite series 72+60+50+125/3+...

Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

223.666666667

This took a while lol

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If (a,b) is the vertex of the parabola whose equation is y= (x+3)^2 +3, what is the value of a+b?
Lerok [7]
The vertex is (-3,3),so a =-3, b=3. a+b=0
6 0
3 years ago
By what number we multiply -7/16 so that the product may be 46/28
Aliun [14]

Answer:

The eq will be=-7/16 × x=46/28

x=46/28 ×-16/7

x=-192/49

3 0
3 years ago
What is the length of the rectangle?
gregori [183]

Step-by-step explanation:

area \: of \: rectangle \:  = 60 \:  {yards}^{2}  \\  \therefore \: (w + 4) \times \: w = 60\\  \\  \therefore \:  {w}^{2}  + 4w -60 = 0 \\  \\  \therefore \: {w}^{2}  + 10w - 6w -60 = 0 \\  \\   \therefore \: w({w} + 10) - 6(w  + 10)= 0 \\  \\  \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\  \therefore \: {w}   = -  10  \: or \: w =  6  \\  \because \: sides \: of \: rectangle \: cant \: be \: negative \\  \therefore \: w \neq \:    - 10 \\  \\ \therefore \: w = 6 \\  \\ \therefore \: w + 4 = 6 + 4 = 10 \\  \\ length \: of \: rectangle \:  = 10 \: yards.

4 0
3 years ago
In 2004 a football team scored 27, 19, 12, 20, 20, 26, 23, 29, 20, 17, 61, 30, and 31 points in their first 13 games. Find the m
miv72 [106K]
After adding all the numbers together then dividing the sum by 13 I got 25.7 rounded to 26
8 0
2 years ago
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
gogolik [260]

Answer:

<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

v_f=v_o-g.t

Where g is the acceleration of gravity g=9.8 m/s^2.

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

\displaystyle t=\frac{v_o-v_f}{g}

Substituting:

\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

8 0
3 years ago
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