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Svetllana [295]
3 years ago
13

Find the sum of the geometric series 1−0.99+0.99^2−0.99 ^3 +...−0.99

Mathematics
2 answers:
pickupchik [31]3 years ago
5 0

Answer:

-0.970199

Step-by-step explanation:

andreev551 [17]3 years ago
3 0

Answer:

0.28

Step-by-step explanation:

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.
Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

y =  - 3 {x}^{2}  + 48x  - 195

We factor -3 from the first two terms to get:

y =  - 3( {x}^{2}   - 16x)  - 195

Add and subtract the square of half the coefficient of x

y =  - 3( {x}^{2}   - 16x + 64)   + 3 \times 64- 195

y =  - 3 {(x - 8)}^{2}  + 192 - 195

We simplify to get:

y =  - 3 {(x - 8)}^{2}  - 3

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0
3 years ago
Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.
VMariaS [17]

Answer:

13.5 = 9.5 + x

x=4

Step-by-step explanation:

In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.

Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.

4 0
2 years ago
A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner
algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by  using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

V=x(216-24x-36x+4x^{2})

V=x(4x^{2}-60x+216)

V=4x^{3}-60x^{2}+216x

So now we can find the derivative of the volume:

V'=12x^{2}-120x+216

and set it equal to zero, so we get:

12x^{2}-120x+216=0

and now we can solve. We can start by factoring the left side of the equation, so we get:

12(x^{2}-10x+18)=0

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}

so we substitute the corresponding values:

x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0
3 years ago
I need help with this answer
Llana [10]

Answer:

Im not sure but lets play warzone

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Determine the intercepts of the line.
natulia [17]

Answer:

Find in Step by Step

Step-by-step explanation:

 x-intercept = 26/-4 = 13/-2 = -6.50000

y-intercept = 26/1 = 26.00000

Slope = 8.000/2.000 = 4.000

Equation at the end of step  1  :

 (y - 6) -  4 • (x + 5)  = 0  

Step  2  :

Equation at the end of step  2  :

 y - 4x - 26  = 0  

Step  3  :

Equation of a Straight Line

3.1     Solve   y-4x-26  = 0

5 0
3 years ago
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