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3 years ago

What is 2 3/4 multiplied by 3

Mathematics

2 answers:

Volgvan3 years ago

4 0

2 3/4 can be simplified to 2.75. Then multiply 2.75 by 3. You will get 8.25. Once you get the answer change 8.25 into 8 1/4

Luba_88 [7]3 years ago

3 0

Answer and workings in the attachment below.

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HELP BRAINLEST GUARANTEED

Liono4ka [1.6K]

Answer:

6% , 800$

Step-by-step explanation:

to answer the question we can use this proportion :

x : 100 = 30 : 500

x = (100*30)/500

x = 6%

for calculate the amount after 10 years we can use this formula

A = P(1+rt)

where P indicates the initial amount, r the rate (in decimal) and t the time of investment

A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $

6 0

2 years ago

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

The maximum power generated by the circuit is 300 watts.

7 0

3 years ago

30 points!! What is the sum of the first six terms of the series? 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

2 years ago

Nine take away three and one-half

DochEvi [55]

5 and 1 half this is the answer my son thought of.

3 0

3 years ago

Read 2 more answers

(4x10) + (4x6)= can u help me

Sergeu [11.5K]

$(4x^1^0) + (4x^6)=$ $Factor \ the \ equation$

$4x^6(x^4+1)$ $Factor \ out \ the \ common \ term \ 4x^6$

$If \ you \ mean \ (4*10) + (4*6)= you \ do :$

$(4*10) + (4*6)=$

$40+4*6$

$40+24$

 $= 64$

7 0

3 years ago

Read 2 more answers