What type of correlation would be expected between distance run and calories burned? Would this relationship be causal?

Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form

Annette [7]

The equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

<h3><u>Solution:</u></h3>

Given that circle having center point (3,7) and the radius r = 4

To find: equation of circle in standard form

<em><u>The equation of circle is given as:</u></em>

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

Where center (h,k) and radius r units

Given that center point (h , k) = (3, 7) and radius r = 4 units

Substituting the values in above equation of circle,

$(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16$

Thus the equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

6 0

3 years ago

Please help me with 4/a, b, c and 5/b

Nat2105 [25]

Answer:

4:

a.) 49x^2-36y^2

b.) 9a^2-25b^2

c.) 1/25x^2-49

5: b.) -5x^2-4xy+4y^2

Step-by-step explanation:

6 0

3 years ago

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8. In the diagram, the measure of the arc from A to B not

Deffense [45]

The measure of the angle ∠ABC will be 40 degrees. Then the correct option is B.

<h3>What is a circle?</h3>

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.

Then the measure of angle ACB will be

We know that Angles subtended by the very same arc at any position on the circular path are half of the angles subtended by the very same arc at the centre.

Then we have

2∠ABC = ∠AOB

2∠ABC = 80°

∠ABC = 40°

More about the circle link is given below.

brainly.com/question/11833983

#SPJ1

5 0

3 years ago

The cost C (in dollars) of making N watches is represented by C=15n + 85. How many watches are made when the cost is $385?

bogdanovich [222]

20 watches are made according to the cost of 385 dollars

8 0

3 years ago

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A survey of 100 people asked if they have a dog or a cat. The answers were: 56 people answered yes for dog and 51 people answere

den301095 [7]

Answer: The maximum number of people who could answer yes for both cat and dog is 7.

Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.

Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.

We are to find the maximum number of people that could answer yes for both cat and dog.

Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.

Then, according to the given information, we have

$n(A)=56,~~n(B)=51.$

From Set Theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\\Rightarrow n(A\cup B)=56+51-n(A\cap B)\\\\\Rightarrow n(A\cup B)=107-n(A\cap B)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the total number of people is 100, so we get

$n(A\cup B)\geq 100.$

Therefore, from equation (i), we get

$107-n(A\cap B)\geq 100\\\\\Rightarrow n(A\cap B)\leq 107-100\\\\\Rightarrow n(A\cap B)\leq 7.$

Thus, the maximum number of people who could answer yes for both cat and dog is 7.

4 0

3 years ago

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