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SpyIntel [72]
2 years ago
12

The distance Jane jogs in 20 minutes is 8 miles. At this rate, how many miles will he run in 60 minutes?

Mathematics
2 answers:
barxatty [35]2 years ago
6 0

Answer:

24 miles

Step-by-step explanation:

the ratio is 20:8

If we wanna find the ratio for 60 mins, you have to multiply both sides by three.

Then, we get 20/8 = 60/24

So, Jane jogged 24 miles in sixty minutes

kvasek [131]2 years ago
3 0

Answer: the answer is 24 miles

Step-by-step explanation:

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If there are 5 terms in a quadratic sequence
exis [7]

Answer:

7.2

Step-by-step explanation:

First differences:

0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2

0.6, 1.0, 1.4, 1.8

Second differences:

1.0-0.6, 1.4-1.0, 1.8-1.4

0.4, 0.4, 0.4

For the next term, add 0.4 to the last term from the first differences, and add the sum to the last term of the quadratic sequence:

0.4+1.8=2.2

2.2+5.0=7.2

∴ The next term in the sequence is 7.2

7 0
3 years ago
X^2 + Y^2 +ax + 2y + 3 = 0<br><br> What number is this equation the equation of a circle?
Sav [38]

Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

Radius: r=0.5×sqrt(a²-8)

Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
3 years ago
Madison has lemons and papayas in a ratio of 3:22 how many papayas does she have if she has 12 lemons
Anna [14]
She would have 88 papayas if she had 12 lemons
8 0
3 years ago
This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =
wel

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

  • p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

  • q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

  • r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

  • s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

4 0
3 years ago
Read 2 more answers
Help me solve this problem
ruslelena [56]

Answer:

The length of the missing leg is six

Step-by-step explanation:

Assuming that this is a right triangle, you can use the Pythagoras theorem

12^2+x^2=sqrt180^2

144+x^2=180

x^2=36

x=6

Therefore, the length of the missing leg is six.

8 0
2 years ago
Read 2 more answers
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