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4 years ago

Find the area of a circle with radius 7 yd.

Mathematics

2 answers:

Vladimir79 [104]4 years ago

8 0

Answer:

153.86 yd²

Step-by-step explanation:

Area of circle = $\pi r^2$

Area = 3.14 × 7 ×7

Area = 153.86 yd²

spin [16.1K]4 years ago

6 0

Answer:

153.86 yd²

Step-by-step explanation:

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A function f is given by the formula f(x)=a⋅ekx for constants a and k. we also know that f(4)=12 and f(7)=5. find numerical valu

masha68 [24]

The given function is

$f(x) = a e^{kx}$

And it is given that $f(4)=12$

On using this information, we will get

$12 = a e^{4k}$

And the other point is $f(7)=5$

Using this point, we will get

$5= ae^{7k}$

Dividing both equations, we will get

$\frac{12}{5} = e^{4k-7k}$

Taking ln to both sides

$ln( \frac{12}{5} ) = -3k$

$k = -0.29$

Performing back substitution ,

$12 = a e^{-0.29*4}
\\
a =38.28$

3 0

4 years ago

What is the value of this expression when m = 6? the difference of the product of 3 and m minus the quotient of m divided by 2

Anettt [7]

Answer:

Step-by-step explanation:

Expressing the sentence Mathematically ;

The product of 3 and m = 3m

Quotient of m divided by 2 = m/2

Hence, the expression becomes ;

3m - m/2 ; value of expression when m = 6

(3m - m/2) ; when m = 6

(3(6) - 6/2)

(18 - 3)

= 15

5 0

3 years ago

Helppp meeeeeee asappppppp

Juliette [100K]

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

5 0

3 years ago

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), where s

Shtirlitz [24]

Answer:

Step-by-step explanation:

Given that X is uniform in the interval (0,A)

X is continuous since it represents the distance

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we should find where the station be located so as to minimize the expected distance from the fire

Distance can be taken as absolute values here as either side is the same.

E(|x-a|] is to be minimum

E(|x-a|)=E(x-a) for 0<x<a

=E(a-x), for a<x<A

Using integral we find this value

$E(|x-a|)=\int\limits^a_0 {x-a} \, dx +=\int\limits^A_a -{x-a} \, dx\\f(a)=\frac{a^2}{2} -\frac{(A-a)^2}{2}$