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Doss [256]
3 years ago
14

Please help me I will give brainliest

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer: the second option I think

Step-by-step explanation:

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You go for a half day hike. In 4 hours, you hike 10 miles. Which is a unit rate that describes your journey? A- 5 miles per hour
erica [24]

Answer: B is reasonable

Step-by-step explanation: In 4 hours, you hike 10 miles. Divide 10 miles by 4 hours to get miles per hour, which is what you want to solve for in this problem. 10 divided by 4 is 2.5, which means you can hike 1 mile in 2.5 hours.

5 0
3 years ago
What are the center and radius of the circle defined by the equation<br> x2 + y2 - 6x+By+21=0 ?
podryga [215]

    (x-3)2+(y+B2)2+By=-12+B24

5 0
3 years ago
1) What is the height of the parallelogram? *<br> 7 cm/<br> 5 cm<br> 15 cm
Natali5045456 [20]

Answer:

15

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
Square A has a side length of (2x - 7) and Square B has a side length (-4x + 18). How much bigger is the perimeter of Square B t
stich3 [128]

Answer: 100 - 24x

Step-by-step explanation:

The formula for calculating the perimeter of a square is given by :

P = 4l , where l is the length of the side.

Perimeter of square A will be

P = 4 ( 2x - 7 )

P = 8x - 28

Perimeter of square B will be ;

P = 4 ( -4x + 18 )

P = - 16x + 72

Perimeter of square B - Perimeter of square A implies

-16x + 72 - ( 8x - 28 )

-16x + 72 - 8x + 28

collecting the like terms

-16x - 8x + 72 + 28

-24x + 100

⇒ 100 - 24x

3 0
3 years ago
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