A small theater had 9 rows of 25 chairs each. An extra 6 chairs have just been brought in. How many chairs are in the theater now?

Answers

Answer 1

Answer: 231 chairs because 9 times 25 is 225, plus 6 is 231

Answer 2

Answer: 4*25=100 4*25=100 add 6 =206+25= 231

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F(x)=-2(x-5)^2+7 what is the parent graph

Y=1/2x-5
Write it in a standard form

Answers

we know that

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.Ax+By=C

so
Y=1/2x-5--------> (1/2)x-y=5
where
A=1/2
B=-1
C=5

the answer is
(1/2)x-y=5

Find the area of the parallelogram below.5.5 ft
4 ft
/60
HINT: Find the height using TRIGONOMETRY. Round to the nearest hundredth.
A =
feet squared

Answers

The area of the parallelogram is given by A = 17.32 feet²

Given data ,

Let the area of the parallelogram be represented as A

Now , the value of A is

Let the height of the parallelogram be h

where from the trigonometric relation , we get

sin 60° = h / 4

On simplifying , we get

h = 4 ( √3/2 )

h = 2√3 feet

Now , the area of parallelogram = base x height

A = 2√3 ( 5 ) feet²

A = 10√3 feet²

A = 17.32 feet²

Hence , the parallelogram has an area of A = 17.32 feet²

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In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is . Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answers

Completed question:

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answer:

0.557

Step-by-step explanation:

For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:

0.873x0.873x0.873x...x0.873 = 0.873⁶ = 0.443

Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:

1 - 0.443

0.557

Answer the following true or false. Justify your answer.(a) If A is a subset of B, and x∈B, then x∈A.
(b) The set {(x,y) ∈ R2 | x > 0 and x < 0} is empty.
(c) If A and B are square matrices, then AB is also square.
(d) A and B are subsets of a set S, then A∩B and A∪B are also subsets of S.
(e) For a matrix A, we define A^2 = AA.

Answers

Answer:

a) False

b) True

c) True

d) True

e) True

Step-by-step explanation:

a) Consider the sets $B=\{1,2,3,4,5,6\}$ and $A=\{4,5,6\}$ . Observe that A is a subset of B and $1\in B$ but $1\notin A$

b) Any number different of 0 can be positive and negative simultaneusly. Then doesn't exist $x\in\mathbb{R}$ such that $x<0 and x>0$ . Then the set $\{(x,y) \in \mathbb{R}^2 | x > 0\; \text{and}\; x < 0}$ is empty.

c) If the multiplication AB is defined and A and B are square matrices with A of size nxn, then B is the size nxn and the matrix AB is the size nxn.

d) Let A and B subsets of a set S. Since each element of A and B are in S then each element of $A\cup B$ is in S. Also, if $x\in A\cap B$ , the $x\in A\subset S$ and $x\in B\subset S$ then $x\in S$ . This shows that $A\cap B \subset S$ .

e) By definition AA=A^2

Determine the circumference of the base of the tin?

Answers

By answering the given question, we may state that We can apply the formula if we know the radius: C = 2πr where the radius r is.

what is diameter?

In geometry, a circle's diameter is any straight line segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. The diameter of a sphere can be defined using either idea. The diameter is the length of the line perpendicular to the two points at either end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.

We must know the base's diameter or radius in order to calculate the circumference of the tin.

If we know the diameter, we can apply the following formula to determine the circle's circumference:

C = πd

where d is the diameter and C is the circumference.

We can apply the formula if we know the radius:

C = 2πr

where the radius r is.

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Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)−4?The graph of g(x) is the graph of f(x) translated 4 units up.

The graph of g(x) is the graph of f(x) translated 4 units left.

The graph of g(x) is the graph of f(x) translated 4 units down.

The graph of g(x) is the graph of f(x) translated 4 units right.

Answers

Answer:

C. The graph of g(x) is the graph of f(x) translated 4 units down.

Just finished the quiz and this was the correct answer.

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