The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing belon.

When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for 1.
1017 square inches
254 square inches
113 square inches
57 square inches



Help plsss

Answer:

Where's the number line?

Step-by-step explanation:

Answer:

no number line. cant help pls repost your question

Step-by-step explanation:

Answer:

I need more info...........

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

In order to solve this problem, we need a few formulas to help us get to the answer:

The first formula we need is the Slope Formula:
\(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)

where (x₁, y₁) and (x₂, y₂) are two different points.

The second formula we need is Point-Slope Form:
\(\displaystyle y - y_0 = m(x - x_0)\)

where (x₀, y₀) is a given point on the line and m is the slope.

Now, we can organize and define what the problem has given us:

We are first given information that a line passes through the points (6, 2) and (2, 4).

We are also given that the parallel line passes through (-1, 6).

Let's first find the slope of the line that passes through two points:

\(\displaystyle\begin{aligned}m & = \frac{4 - 2}{2 - 6} \\& = \frac{2}{-4} \\& = \boxed{ - \frac{1}{2} } \\\end{aligned}\)

∴ we know that the slope is equal to negative one-half.

Let's substitute in our slope into Point-Slope Form since parallel lines have the same slope:

\(\displaystyle y - y_0 = m(x - x_0) \Rightarrow y - y_0 = - \frac{1}{2} (x - x_0)\)

Recall that we were given the initial point (-1, 6). Let's also substitute this into Point-Slope Form:

\(\displaystyle \begin{aligned}y - y_0 = m(x - x_0) & \Rightarrow y - y_0 = - \frac{1}{2} (x - x_0) \\& \Rightarrow y - 6 = - \frac{1}{2} (x - -1) \\& \Rightarrow \boxed{ y - 6 = -\frac{1}{2}(x + 1) } \\\end{aligned}\)

∴ we have found that the point-slope form of the equation of a line that passes through the point (-1, 6) and is parallel to the line that passes through the points (6, 2) and (2, 4) is equal to:
\(\displaystyle \boxed{ y - 6 = -\frac{1}{2}(x + 1) }\)

Hope this helps!
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Answer:

Step-by-step explanation:

answer

-68.25

Answer:

a

Step-by-step explanation:

Answer:

you are a real bot

Step-by-step explanation:

Answer:

It will take them 8,100 minutes.

Step-by-step explanation:

If it takes a group of 24 students 1,296 minutes to study for an upcoming test, it takes 54 minutes for each student. (=> 1,296/24 = 54)

150 x 54 minutes = 8,100 minutes.

It will take them 8,100 minutes.

Step-by-step explanation:

1 is next to the 122 at the top

2 is on the opposite next to the 3014

3 is at the bottom next to 86

Answer:

A, C, and D.

Step-by-step explanation:

Remember to divide it! :)

Answer:

Permuation; 210 possibilites

Step-by-step explanation:

With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).

This would be written as 15p2

To find the number of possibilities we want to use the permuation equation.

(,)=!(−)!

P=permutation

n= the set or population (15 soccer players)

r= subset (1 captain and 1 co-captain, total of 2)

(,)=(15,2)

=15!(15−2)!

= 210

If u are confused about !(factorial) in the equation here is a quick explanation

Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this

1! = 1

2! = 2 x 1 = 2

3! = 3 x 2 x 1 = 6

4! = 4 x 3 x 2 x 1 = 24

5! = 5 x 4 x 3 x 2 x 1 = 120

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

etc

Hope this helps!!

The number of possibilities in choosing captain and co-captain are 210 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, a team of 15 soccer players needs to choose a captain and a co-captain.

Number of captains can be choose from 15 players.

Number of co-captains can be choose from 15-1=14 players.

So, the number of possibilities= 15×14

= 210 ways

Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.

To learn more about the permutation visit:

https://brainly.com/question/3867157.

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5/9 + 8/9 = 13/9 = 1 4/9

Answer: 13/9 or 1 and 4/9

Answer:

f = 13/9 or 1.444...

Step-by-step explanation:

f - 8/9 = 5/9

Add 8/9 to both sides,

8/9 + f - 8/9 = 5/9 + 8/9

This cancels out the - 8/9.

f = 13/9 or 1.444...

Answer:

-10, -0.5, 5/16, 2

Step-by-step explanation:

To find f(f^(-1)(9)), we need to first find f^(-1)(9), the inverse of f(9).

Given that f(4) = 9, we know that f^(-1)(9) is equal to 4.

Therefore, f(f^(-1)(9)) is equivalent to f(4).

Given that f(4) = 9 according to the problem statement, we can conclude that f(f^(-1)(9)) = 9.

Answer:

1. 4

2. y = sqrt(-x-2), domain: (-infinity, infinity)

3. (-infinity, infinity), (-infinity, infinity)

4. [0, infinity), [0, infinity)

5. 1/y^2

Answer:

an additional 60 gallons will be pumped in and a total of 348

Step-by-step explanation:

Answer:

not sure

Step-by-step explanation:

Answer:

\(u=-\frac{6}{7} w\)

Step-by-step explanation:

\(4u+8w=-3u+2w\)

Add \(3u\) and \(-8w\) on both sides.

\(4u+3u=2w-8w\)

Add or subtract like terms.

\(7u=-6w\)

Divide \(7\) on both sides.

\(7u/7=-6w/7\)

\(u=-\frac{6}{7} w\)

\(u\)  is the independent variable now.

Answer:

independent variable means the variable after the equal sign

Answer:

24

Step-by-step explanation:

8 * 3 = 24

6 * 4 = 24

Answer:

10) .04

11) 7

12) .25 and .05

Step-by-step explanation:

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer:

D) -5 1/4

Step-by-step explanation:

In this problem there is -3/4 foot change every year and you are trying to see how much changes over 7 years. That means you are multiply the 7 by -3/4. To do that you need to change the 7 into a fraction.

7= 7/1, now you are going to mulitpy the two fractions.

This line represents the numerators:     7 times -3= -21

This line represents the denominators: 1 times 4 =  4

Now that we know our fraction is -21/4 we simplify.

The simplest form you can get is -5 1/4.

I hope this helped, let me know if you have any questions!! :)

ANSWERRRR:

the answer is 15,400

=======================================================

Explanation:

I'm assuming you meant to type 8x^2 + bx + 2 = 0

Compare this to ax^2 + bx + c = 0

We have a = 8, b = unknown, c = 2.

We'll use the discriminant formula which is D = b^2 - 4ac to find that

D = b^2 - 4ac

D = b^2 - 4*8*2

D = b^2 - 64

Since we want one real solution, we set the discriminant equal to zero.

D = b^2 - 64

0 = b^2 - 64

64 = b^2

b^2 = 64

b = sqrt(64) or b = -sqrt(8)

b = 8 or b = -8

So the equation 8x^2 + 8x + 2 = 0 has one solution. So does the equation 8x^2-8x+2 = 0

Answer:

To find the value of  

b

where there will be just ONE soluition, we set the discriminate equal to  

0

, substitute for  

a

and  

c

and solve for  

b

:

Substitute:

2

for  

a

−

b

for  

b

−

9

for  

c

−

b

2

−

(

4

⋅

2

⋅

−

9

)

=

0

−

b

2

−

(

−

72

)

=

0

−

b

2

+

72

=

0

−

b

2

+

72

−

72

=

0

−

72

−

b

2

+

0

=

−

72

−

b

2

=

−

72

−

1

⋅

−

b

2

=

−

1

⋅

−

72

b

2

=

72

√

b

2

=

±

√

72

b

=

±

√

36

⋅

2

b

=

±

√

36

√

2

b

=

±

6

√

2To find the value of  

b

where there will be just ONE soluition, we set the discriminate equal to  

0

, substitute for  

a

and  

c

and solve for  

b

:

Substitute:

2

for  

a

−

b

for  

b

−

9

for  

c

−

b

2

−

(

4

⋅

2

⋅

−

9

)

=

0

−

b

2

−

(

−

72

)

=

0

−

b

2

+

72

=

0

−

b

2

+

72

−

72

=

0

−

72

−

b

2

+

0

=

−

72

−

b

2

=

−

72

−

1

⋅

−

b

2

=

−

1

⋅

−

72

b

2

=

72

√

b

2

=

±

√

72

b

=

±

√

36

⋅

2

b

=

±

√

36

√

2

b

=

±

6

√

2

Step-by-step explanation: