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Travka [436]
3 years ago
10

The graph below shows the distance (y) in kilometers of two cars from their destination at different times (x) in minutes. The t

able shows the values plotted on the graph:
Time
(in minutes)
x 0 10 20 30 40 50 60 70
Car 1
(in km)
y 70 60 50 40 30 20 10 0
Car 2
(in km)
y 70 57.19511 46.73256 38.18388 31.199 25.4919 20.82871 17.01861

Part A: What does the x-intercept of the function for car 1 represent? (2 points)

Part B: What does the y-intercept of the function for car 2 represent? (2 points)

Part C: What is the domain of the functions for car 1 and car 2? (2 points)

Part D: What is the average rate of change from x = 30 to x = 40 for the function representing the motion for car 2? What does the value of this average rate of change represent?

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0
Part A: What does the x-intercept of the function for car 1 represent? (2 points)
 For this case, the intersection with the x axis means that car 1 has reached its destination. He traveled 70 km in 70 minutes.
 Part B: What does the y-intercept of the function for car 2 represent? (2 points)
 For this case, the intersection with the Y axis represents that car 2 must travel 70 km to reach its destination and that it has not yet started its journey.

 Part C: What is the domain of the functions for car 1 and car 2? (2 points)
 car1: 
 The domain of the function for this car are all x that range from 0 to 70. Mathematically it can be written as [0, 70].
 car 2: 
 The domain of the function for this car are all x that go from 0 to more infinity. Mathematically it can be written as [0, inf)

 Part D: What is the average rate of change from x = 30 to x = 40 for the function representing the motion for car 2? What is the value of this average rate of change?
 For the domain between x = 30 and x = 40 the rate of change of the function of the car 2 is 34.69144.
 This means that car 2 travels 34.69144 km approximately in 10 minutes. As the slope is negative, then the car is getting closer to its destination.
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1. Hoover Dam spans the Colorado
Alona [7]

BEST estimate of this  amount is 2(10^{7}) . Correct option A. 2 x 10^7 .

<u>Step-by-step explanation:</u>

Here we have , Hoover Dam spans the Colorado  River on the Nevada-Arizona state  line. For its construction, the federal  government purchased 21,670,000  pounds of gates and valves. We need to find BEST estimate of this  amount . Let's find out:

21,670,000  pounds

⇒ 21,670,000  pounds

⇒ 21,670,000

⇒ 2167(10^{4})

⇒ 2.167(10^{3})(10^{4})

⇒ 2.167(10^{3+4})

⇒ 2.167(10^{7})

Now, Rounding of 2.167 we get 2  ,So

⇒ 2(10^{7})

Hence ,  BEST estimate of this  amount is 2(10^{7}) . Correct option A. 2 x 10^7 .

5 0
3 years ago
Hi I have no idea how to do this question :)
erik [133]

Answer:

A. 36

Step-by-step explanation:

Because the two angles at the bottom of both the triangles are congruent, the two triangles are similar. Therefore, the corresponding side lengths of the triangles must be proportional to each other

if the area of a triangle is hb/2,

(with h=length of height, b=length of base)

the height of the first triangle is:

25 = 10h/2

50 = 10h

h=5

you can write ratios representing the proportions of the two triangles:

5/x = 10/12 (with x=height of second triangle)

x=6

then find the area of the second triangle with the height (6) and base (12)

(6*12)/2 = 36

7 0
2 years ago
Suppose that a researcher wanted to measure the federal government's efforts to make the education of its citizens a priority. T
Vitek1552 [10]

Answer:

Step-by-step explanation:

STRENGTHS

1) Budget is a major pointer to a government's commitment in a particular sector. Money allocated for education versus the %GDP will definitely show if education is a priority for the government or not.

WEAKNESSES

1) The major player, (the citizens) is not the determinant in this measure.

2) Without knowing the actual number or estimate of those who would be captured in this budget it may be impossible to know if education was really the priority of the government. Let's say (X) number of persons will benefit from the education budget, if X is unknown then planning would be on assumptions.

3) Budget alone is not sufficient in determining the commitment of the government in a sector. Laws, policies as well play a huge role and in this research laws,and policies are not part of the determining indices.

6 0
3 years ago
1. Use the Law of Levers to solve the problem, x1y1=x2y2.
Mademuasel [1]
1)  Never heard of someone referring to the Law of Levers before, must be showing my age.  A system as you describe is at equilibrium when the net torque is equal to zero. Since torque is Fr=mgr so for this system we have a sum of:

27g*10+30g*x=0  The sum must be zero to be at equilibrium, dividing both sides by g you have:

270+30x=0

270=-30x

x=-9

The negative just indicates that the magnitude of 9 is on the opposite side of the fulcrum, so x=9ft in magnitude.

2)  Inverse variation is of the form y=k/x, in this case we are given a point so we can solve for the constant, k, of variation...

y=k/x, and we are given y=-12 when x=5 so

-12=k/5

k=-60  so the equation is:

y=-60/x which can be expressed as

xy=-60


5 0
3 years ago
A -5/4<br> B -8/10<br> C 3/4<br> D -5/3
KatRina [158]
I would say the answer is b. -8/10
8 0
3 years ago
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