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andreev551 [17]
3 years ago
6

In 1980, James planted a tree that was 1 foot tall. In 1996, that same tree was 51 feet tall. James finds that the height of the

tree can be modeled by the
radical function H (t) = v kt + 1 where H (t) is the height of the tree in feet, t, is the number of years since 1980, and k is a specific constant. What
is the value of k?
Mathematics
1 answer:
Rashid [163]3 years ago
7 0
Divide and see what you get = 51
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Solve the system using the elimination method.
Sloan [31]

Answer:

x=151/64   y=9/8 z=-51/32

Step-by-step explanation:

2x+2y+5z- (2x-y+z)=-1-2

3y+4z=-3

2x+2y+5z- (2x+4y-3z)=-1-14

-2y+8z=-15

We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)

3y+4z=-3 (2)

-2y+8z=-15 (-3)

6y+8z=-6

6y-24z=45

(6y+8z)- (6y-24z)= -6-45

32z=-51

z=-51/32

3y-204/32=-3

3y= -96/32+204/32

3y=108/32

y=36/32=9/8

2x+2*9/8+5*(-51/32)=-1

2x+9/4-255/32=-1

2x+72/32-255/32=-1

2x-183/32=-32/32

2x=151/32

x=151/64

8 0
3 years ago
A student's grade for the four quarters are 95, 83, 91, and 85. What does the student need to earn on the final exam to have an
gulaghasi [49]

Answer:

The least score the student can get is 71 to get an overall B average at the end of the year.

Step-by-step explanation:

Let the score she needs to get be = x

We now have to take the mean of all the five subjects <em>(including x)</em> and equate it to the least score she can have to get a B grade.

Let us take the least score the student needs to get a B grade to be 85

Mean of all 5 scores =

\frac{95+83+91+85+x}{5}=85

\frac{354+x}{5} =85

354+x = 425

x = 71

The least score the student can get is 71 to get an overall B average at the end of the year.

3 0
3 years ago
If the maximum acceleration that is tolerable for passengers in a subway train is 1.74 m/s2 and subway stations are located 930
Free_Kalibri [48]
Given that the subway stations are 930 m apart, the train have to be accerelated for half the distance and then decerelated for the rest of the distance.

Recall that the distance travelled by an object with an initial velocity, u, for a period of time, t, at an accereration, a, is given by
s=ut+ \frac{1}{2} at^2

But, we assume that the train accelerates from rest, thus
s=\frac{1}{2} at^2 \\  \\ \Rightarrow465=\frac{1}{2}(1.74)t^2 \\  \\ \Rightarrow t^2=534.48 \\  \\  \Rightarrow t=\sqrt{534.48}=23.12

The maximum speed is attained at half the center of the distance between subway stations (i.e. at distance = 465 m).

Thus, maximum speed = distance / time = 465 / 23.12 = 20.11 m/s.
6 0
3 years ago
The point (0,-4) is located [ANSWER]
natka813 [3]

Answer:

on the x-axis

Step-by-step explanation:

it is located on the x axis because it is not technically in any quandrant. it is however, on an axis.

3 0
3 years ago
Read 2 more answers
1. Write 2 expressions that is equivalent to double (3x+4y)
jeyben [28]

i don't know sorry this is hard to do

8 0
3 years ago
Read 2 more answers
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