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const2013 [10]
3 years ago
13

Find the 12th term of the geometric sequence 9, 27, 81...

Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

1594323

Step-by-step explanation:

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A rectangular park is 100 yards long and 65 yards wide. Give the length and width of another rectangular park that has the same
AlekseyPX
2* 100 + 2 * 65 = 330 perimeter
100 * 65 = 6,500 area

2*90 + 2*75 = 330 perimeter
90 * 75 = 6,750 area


8 0
3 years ago
What does h(40)=1820 mean in terms of the problem ? Help please
Bess [88]

Answer:h stands for hours so if they worked 40 hours they would get paid 1820 dollars

Step-by-step explanation:

5 0
3 years ago
An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d
nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}

By substituting the values, we will have

\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}

For the first ice cream with one scoop

\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}

For the second ice cream with two scoops

\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}

For the third ice cream with three scoops

\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0
11 months ago
ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should t
stiks02 [169]

Answer:

5.3 or 28

Step-by-step explanation:

6^{2}+b^{2}=8^{2}

36+b^{2}=64

64-36=28

\sqrt{28\\}

=5.29 or 5.3

5 0
2 years ago
Find The Value Of x ?
slega [8]

<u>Answer</u>:

1) x  = -1  ||     2) x = 10

<u>Explanation</u>:

1)

→ \log _3\left(\frac{1}{3}\right)=x

→ \frac{1}{3}  = 3^x

→ 3^{-1} = 3^x

→ x  = -1

2)

→ \log _3\left(x-1\right)=2

→ x - 1 = 3^2

→ x -1 = 9

→ x = 9 +1

→ x = 10

5 0
2 years ago
Read 2 more answers
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