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Bezzdna [24]
3 years ago
15

Each row in a window display of compact disk cartons contains two more boxes than the row above. The first row has one box. Comp

lete the table to find the number of rows in a display containing 144 boxes.
Mathematics
2 answers:
elixir [45]3 years ago
8 0
Hey there!

You know that the pattern increases by 2 each time so just add two each time until you get to 144

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 +23 = 144

R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 R11 R12

So there will be 12 rows in the display

Hope this helps!

~~Cutelion918~~
kherson [118]3 years ago
3 0
The pattern increases by 2 each time.

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 +23 = 144

R1 R2 R3 R4 R5 R6 R7 R8 R9 R10 R11 R12

There are 12 rows in the display.

I hope this helped! c:
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A study show that there are 16 vehicles for every 10 households how many vehicles are there for 107 million households
Lisa [10]
\bf \begin{array}{ccll}
vehicles&households\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
16&10\\
v&107E6
\end{array}\implies \cfrac{16}{v}=\cfrac{10}{17E6}\implies \cfrac{17E6\cdot 16}{10}=v

just to clarify the engineering notation, E6 is just 1 and 6 zeros, or a million, thus, 107,000,000 is just 107E6.
6 0
3 years ago
How to graph an exponential function
irina1246 [14]

Step-by-step explanation:

Exponential function is given by general form y=ab^x

Where a and b are constants.

say a=1 and b=2 then we can write function as :

y=1*2^x

or y=2^x

To graph this or any exponential function, we just need to find some points then join them by a curved line.

Like plug x=0, 1, 2,... into above function and find points:

plug x=1

y=2^x=2^1=2

Hence point is (1,2)

Find more points similarly then graph them to get the graph as shown below:


7 0
3 years ago
A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
3 years ago
Triangle ABC has vertices at A(−1 , 2), B(4, 2), and C(3, −1). Classify the triangle according to the side lengths.
Orlov [11]

Answer:

B) Isosceles

Step-by-step explanation:

The given triangle has vertices at A(-1,2), B(4,2) and C(3,-1).

We must first determine the length of the sides of the triangle, before we can classify it.

We apply the distance formula to find length of the sides.

|AB|=\sqrt{(4--1)^2+(2-2)^2}

\Rightarrow |AB|=\sqrt{(4+1)^2+(2-2)^2}

\Rightarrow |AB|=\sqrt{5^2+(0)^2}

\Rightarrow |AB|=\sqrt{25}

\Rightarrow |AB|=5 units.

The length of side BC

|BC|=\sqrt{(3-4)^2+(-1-2)^2}

\Rightarrow |BC|=\sqrt{(-1)^2+(-3)^2}

\Rightarrow |BC|=\sqrt{1+9}

\Rightarrow |BC|=\sqrt{10}

The length of side AC

|AC|=\sqrt{(3--1)^2+(-1-2)^2}

We simplify to obtain;

|AC|=\sqrt{(3+1)^2+(-3)^2}

\Rightarrow |AC|=\sqrt{(4)^2+(-3)^2}

|AC|=\sqrt{16+9}

|AC|=\sqrt{25}

|AC|=5\:units

Since |AC|=5\:units=|AB|, the given triangle is an isosceles triangle.

The correct answer is

6 0
3 years ago
Read 2 more answers
5. Solve these recurrence relations together with the initial conditions given: a) aann = 5aann−1 − 6aann−2, nn ≥ 2 with aa0 = 0
ruslelena [56]

Answer:

Step-by-step explanation:

Check attachment for solution

3 0
3 years ago
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