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3 years ago

14

Starting on Day 1 with 1 jumping jack, Kiera doubles the number of jumping jacks she does every day. How many jumping jacks will

Kiera do on Day 10?

1 answer:

kolbaska11 [484]3 years ago

5 0

Answer:

The answer is 512

Day 1:1

Day 2:2

Day 3:4

Day 4:8

Day 5:16

Day 6:32

Day 7:64

Day 8:128

Day 9:256

Day 10:512

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Can any one please help me with these Math questions soon as possible?

disa [49]

Answer:

the answer to the first question is 9/27, 5/27, 13/27

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Step-by-step explanation:

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2 years ago

Find the missing number:

nirvana33 [79]

Answer:

20%

Step-by-step explanation:

Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:

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2 years ago

Solve 56,254+7+1,243+205

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Step-by-step explanation:

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2 years ago

Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th

xeze [42]

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

$P:(x - 1)^2 + (y + 6)^2 = 9$

$Q:(x + 4)^2 + (y + 14)^2 = 4$

Solving (a): The distance between both

The equation of a circle is:

$(x - h)^2 + (y - k)^2 = r^2$

Where

$Center: (h,k)$

$Radius:r$

P and Q can be rewritten as:

$P:(x - 1)^2 + (y + 6)^2 = 3^2$

$Q:(x + 4)^2 + (y + 14)^2 = 2^2$

So, for P:

$Center = (1,-6)$

$r = 3$

For Q:

$Center = (-4,-14)$

$r = 2$

The distance between them is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

Where:

$Center = (1,-6)$ --- $(x_1,y_1)$

$Center = (-4,-14)$ --- $(x_2,y_2)$

So:

$d = \sqrt{(1 - -4)^2 + (-6 - -14)^2$

$d = \sqrt{(5)^2 + (8)^2$

$d = \sqrt{25 + 64$

$d = \sqrt{89$

$d = 9.4$

Solving (b): The radius;

In (a), we have:

$r = 3$ --- circle P

$r = 2$ --- circle Q

By comparison

$2 < 3$

<em>Hence, circle Q has a smaller radius</em>

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