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shutvik [7]
3 years ago
10

Simplify the following ??? reply me all off you ​

Mathematics
2 answers:
xxMikexx [17]3 years ago
8 0

Answer:

29/8

You had to multiply and solve making lowest common multiple

USPshnik [31]3 years ago
7 0

Answer:

115/24

Step-by-step explanation:

first convert the mixed numbers to a whole fraction

then find the least common denominator which is 24

so 31 - 23 + 7 = 115/24

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Rewrite f(n) =2(n-1)+2 as a recursive rule
s2008m [1.1K]

The recursive formula of any sequence gives us two piece of information

1. The first term

2. The pattern or rule that lets you find the given term using the term that comes before it

Here we have

f(n)= 2(n-1)+2

The arithmetic sequence is given by

a+d(n-1)

a is the first term

d is called the common difference or the number that is added to the previous number every time

Here we have a=2, and d=2

Hence the recursive rule is given by

\left \{ {{a(1)=2} \atop {a(n) = a(n-1)+2}} \right.

This is the recursive rule for the given function

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3 years ago
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A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. I
DedPeter [7]

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a>0, the vertex is a minimum point, that is, the minimum value happens at x_{v}, and it's value is y_{v}.

The cost of producing x cars is given by:

C(x) = 0.7x^2 - 420x + 81610

So a quadratic equation with a = 0.7, b = -420, c = 81610

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300

300 cars must be made to minimize the unit cost

8 0
3 years ago
The lateral surface area of a cube is 324 cm ² . Find its volume and total surface area​​
AfilCa [17]

Step-by-step explanation:

<h2><u>Given :</u></h2><h2 />
  • Lateral Surface Area of Cube = 324 cm²

\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}

<h2><u>To Find :</u></h2>

  • Volume of the Cube = ?

  • Total Surface Area of the Cube = ?

\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}

<h2><u>Solution :</u></h2>

<u>~ Formula U</u><u>s</u><u>e</u><u>d</u><u> :</u>

  • Lateral Surface Area :

{\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Lateral \: Surface \: Area {\small_{(Cube)}} = 4 a² }}}}}

  • Volume :

\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Volume{\small_{(Cube)}} = a³ }}}}}

  • Total Surface Area :

\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{ \red{\sf{ Total \: Surface \: Area {\small_{(Cube)}} = 6a² }}}}}

\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}

<u>~ Calculating the Side :</u>

\\{\longmapsto{\qquad{\sf{ \cancel\dfrac{324}{4} = a² }}}}

{\longmapsto{\qquad{\sf{ LSA = 4a² }}}}  \\  \\

{\longmapsto{\qquad{\sf{ 324 }}}}

\longmapsto{\qquad{\sf{ 81 = a²}}}

{\longmapsto{\qquad{\sf{ \sqrt{81} = a }}}} \\ \\

{\qquad{\textsf{ Side of the Cube = {\pink{\sf{ 9 \: cm}}}}}}

\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}

<u>~ Calculating the</u><u> </u><u> Volume :</u>

\begin{gathered}{ \red{\longmapsto{\qquad{\sf{ Volume = a³ }}}}} \\ \\ \  { \pink{\longmapsto{\qquad{\sf{ Volume = 9³ }}}} }\\ \\ \ { \green{\longmapsto{\qquad{\sf{ Volume = 9 \times 9 \times 9 }}}}} \\ \\ \ { \purple{\qquad{\textsf{ Volume of the Cube = {\green{\sf{ \boxed{\longmapsto  \sf729 \: cm³ }}}}}}}}\end{gathered}

<u>~ Calculating the</u><u> Total Surface Area :</u>

{\longmapsto{\qquad{\sf{ TSA = 6a² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9 \times 9 }}}}

{\longmapsto{\qquad{\sf{ TSA = 6 \times 81 }}}} \\ \\ \ {\qquad{\textsf{ Total Surface Area of the Cube = {\red{\sf{ 486 \: cm² }}}}}}

<h2><u>Therefore :</u></h2>

  • ❝ Volume of the Cube is 729 cm³ and it's Total Surface Area is 486 cm² .❞

\begin{gathered} \\ {\pink{\underline{\rule{75pt}{9pt}}}}{\blue{\underline{\rule{75pt}{9pt}}}}{\color{cyan}{\underline{\rule{75pt}{9pt}}}}\end{gathered}

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3 years ago
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Dennis_Churaev [7]
99.8 off because if you subtract it and it will be 99.8 off
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