All categories

3 years ago

Module 1 Exam

Mathematics

1 answer:

Anon25 [30]3 years ago

5 0

Answer: 50

Step-by-step explanation:

You might be interested in

Can someone help Find the surface area

ankoles [38]

Answer:

1861.39 cm²

Step-by-step explanation:

Given:

d = 15 cm

radius (r) = ½(15) = 7.5 cm

Height = 32 cm

Surface area of a cylinder = 2πrh + 2πr²

Plug in the values

Surface area = 2*π*7.5*32 + 2*π*7.5²

= 1861.39 cm²

7 0

3 years ago

Tell whether the sequence 1/3, 0, 1, -2 ... is arithmetic, geometric, or neither. Find the next three terms of the sequence.

max2010maxim [7]

Answer:

A. neither; 7, -20, 61

Step-by-step explanation:

The sequence 1/3, 0, 1, -2 ...

The difference between the terms are; -1/3, 1, -3......

Looking the difference between consecutive terms in the sequence, we can predict the next differences between the following terms, as the differences form a geometric sequence;

Therefore; -1/3, 1, -3, 9, -27, 81

Thus; the sequence will be;

1/3, 0, 1, -2 , (-2+9), (-2+9+-27), (-2+9+-27+81)

1/3, 0, 1, -2, 7, -20, 61

Hence the next three terms are; 7, -20, 61

6 0

3 years ago

Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount

boyakko [2]

$\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200$

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus $\bf 110\%\implies \cfrac{110}{100}\implies 1.1$ .

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1} \right)\\\\\\S_4=2000(4.641)\implies S_4=9282$

7 0

3 years ago

What is the value of the expression 14.72 ÷ 3.2

Bumek [7]

Answer:

Your answer =

4.6

Step-by-step explanation:

Hope it helps

5 0

3 years ago

hina travels between the two mile markers shown and then find her average speed in miles per hour. Select the three equations th

AleksAgata [21]

Answer:

Please rephrase, i cant understand the question

6 0

3 years ago