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Scrat [10]
3 years ago
6

Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured

in millions.
Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

B(4) > A(4)

t = 6

Step-by-step explanation:

Given

City\ A \to Purple

City\ B \to Blue

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

A(4)= 1.8

B(4) = 2.6

By comparison:

B(4) > A(4) because 2.6 > 1.8

Solving (b): When is A(t) = B(t)

From the readings of the graph

A(t) = B(t) when t = 6

i.e.

A(t) = B(t) = 3\ million

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A. How many squares with side lengths of 1/4 inch can fit in a square with side lengths of 1 inch?​
yKpoI14uk [10]

Answer:

c

Step-by-step explanation:

in did the work

6 0
3 years ago
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
A cone has a diameter of 6 centimeters and a height that is 5 times the diameter. Using 3.14 for pi, which of the following can
Anuta_ua [19.1K]
To calculate the Volume of a sphere we use =\frac{1}{3}  \pi  r^{2} hi
in  this question our radius is 6cm and height is 30cm therefore the volume will be :-
     (1/3)\pi *(6)^{2}*30
Answer= 360 cm^{3}


7 0
3 years ago
Read 2 more answers
Elisita writes a poem on a piece of paper that measures 8.5 x 11 inches. find the area of the piece of paper.
kozerog [31]
The area of the piece of paper is 93.5 square inches. Hope it help!
8 0
4 years ago
A television game show begins with 20 contestants. Each week, the players vote 2 contestants off the show. What is the rate of c
nadya68 [22]

Using a linear function, it is found that the rate of change in this problem situation is of -2 contestants per week.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the situation described, the number of participants after n weeks is given by:

N(n) = 20 - 2n.

The slope is of -2, hence the rate of change in this problem situation is of -2 contestants per week.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
2 years ago
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