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MrRa [10]
2 years ago
13

Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the c

hange in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function in feet per second?

Mathematics
2 answers:
Lorico [155]2 years ago
8 0

The answers are

50

1

50

Maru [420]2 years ago
5 0

we are given points A and B

A=(3,150)

B=(4,200)

we can find points

x1=3 , y1=150

x2=4 , y2=200

(a)

the change in y-values from Point A to Point B is

=y_2-y_1

now, we can plug values

=200-150

=50feet...........Answer

(b)

the change in x-values from Point A to Point B is

=x_2-x_1

now, we can plug values

=4-3

=1second...........Answer

(c)

the rate of change of the linear function in feet per second is

=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

=\frac{50}{1}feet/sec

=50feet/sec.................Answer


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Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
yan [13]

Answer:

The value of k is 3.

Step-by-step explanation:

The function f(x) passes through the points (0,4) and (-6,-2)

So the equation of the function is \frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}

⇒ y = x + 4 ....... (1)

Again the function g(x) passes through the points (0,4) and (-2,-2).

Therefore, the equation of g(x) will be  \frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}

⇒ y = 3x + 4

Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).

So, the value of k is 3. (Answer)

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2 years ago
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The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic
Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

\frac{ n!}{ n1!*n2!*...*nk! }

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

  • n by 40 participants
  • k by 4 groups
  • n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

nPk = \frac{ n!}{(n-k)!}

So in this case there are 4 offices in the research board, those are director,  assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

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  • k by 4 offices

We get:

\frac{ 15!}{ (15-4)! } = 32760

7 0
2 years ago
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VLD [36.1K]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

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∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

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6 0
2 years ago
300 reduced by twice a number is 146. what is the number?
Bogdan [553]

300 - 2x = 146, where x is the number

Subtract 300 from both sides.

-2x = -154

Divide both sides by -2.

x = 77

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zzz [600]

Answer:

180g of sugar

Step-by-step explanation:

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