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3 years ago

Which events are dependent? Choose all that apply.

2 answers:

7 0

The first three are dependent variables as the outcomes could potentially change due to any of these circumstances.
The last one is an independent variable due to the fact that rolling a die several times will not affect the next outcome.

Blizzard [7]3 years ago

4 0

Answer:

A, B, C, D

Step-by-step explanation:

hope this helps

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For the pair of points, find the slope of the line that passes through both points.

ser-zykov [4K]

5-1/7-1
4/6
Answer 2/3

6 0

3 years ago

The graph of g(x) is the graph of f(x)=5x+15 compressed horizontally by a factor of 1/5 .

Vlad [161]

Consider the value of f at x=2.

f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.

The graph of g is the graph of f compressed horizontally by a factor of 1/5.

So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).

All pairs (x, y) in f can be described by (x, 5x+15), thus, all pairs (x, y) in g can be described by (x, (5x+15)/5), that is (x, x+3). Thus, the rule for g is :

g(x)=x+3.

Answer: <span>A) g(x)=x+3</span>

7 0

3 years ago

Read 2 more answers

The answer choices are 11 1 2.48 6

Fudgin [204]

Answer:

The ball reached its maximum height of ( $11\ yards$ ) in ( $1\ second$ ).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

$h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6$

Now factor out the coefficient of the quadratic term:

$h(t)=-5(t^2 -2t) + 6$

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

$h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6$

Now take the balancing term out of the parenthesis:

$\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))$

Simplify:

$h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11$

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

$(1, 11)$

8 0

3 years ago

Tyler brother works in a shoe store and the store brought a pair of shoes for $50 and sold it for $80 what percentage was the ma

Free_Kalibri [48]

Answer:

$60.

Step-by-step explanation:

Cost price= $50

Selling price = $80

Percentage markup = Gain/Cost price x 100%

=30/50x100

=$60.

7 0

2 years ago

find the surface areas of the larger cone and the smaller cone in terms of pi. compare the surface areas using a percent. (the m

serious [3.7K]

ANSWER :

Surface area of larger cone : 24π units^2

Surface area of smaller cone : 6π units^2

The surface area of the smaller cone is 25% of that of the larger cone.

EXPLANATION :

From the given problem,

AB = 3 is the radius of the larger cone and the slanted height is BC = 5

DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5

Recall the surface area of the cone :

$A=\pi r^2+\pi rL$

where r = radius and L = slanted height.

For the larger cone, r = 3 and L = 5

$\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}$

For the smaller cone, r = 1.5 and L = 2.5

$\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}$

Comparing the surface areas :

The area of the smaller cone compared to the larger cone is :

$\begin{gathered} \frac{smaller}{larger}\times100=\frac{6\pi}{24\pi}\times100 \\ \\ =25\% \end{gathered}$

3 0

1 year ago