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3 years ago

(1,-4), (2,1), (3,4), (3,3), (4,2) is this a function?

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

no i think because theres a negative

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The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What

dybincka [34]

Answer:

66%

Step-by-step explanation:

Use conditional probability.

P(full | holiday) = P(full AND holiday) / P(holiday)

P(full | holiday) = 0.19 / 0.29

P(full | holiday) ≈ 0.66

8 0

3 years ago

Which expression is equivalent to

Kruka [31]

Answer:

B) 1/x^2

Step-by-step explanation:

Simplify the following:

x^9/x^11

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.

Combine powers. x^9/x^11 = x^(9 - 11):

x^(9 - 11)

Hint: | Evaluate 9 - 11.

9 - 11 = -2:

Answer: x^(-2) = 1/(x^2)

5 0

2 years ago

Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180 about the origin, resulting in figure A.

rewona [7]

Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.<span>
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7 0

3 years ago

Read 2 more answers

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

4 0

3 years ago

How many feet are in 100 inches? Write your answer two ways: in feet and inches and in feet only

jolli1 [7]

Answer: 8 ft and 4 in, 8 1/3 ft

Step-by-step explanation:

100/12=50/6=25/3=8.3333333...

1/3 of a foot is 1/3x12 which is 12/3 which is 4 in.

3 0

3 years ago