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3 years ago

3 square roots 7 multiplied by square root of 7 / 6 square roots of 7 raised to the 5

Mathematics

2 answers:

mojhsa [17]3 years ago

5 0

98 is what it’s round too

kodGreya [7K]3 years ago

3 0

Approximately 97.6149

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Solve the following quadratic equation by completing the square: x² + 12x = 15

Lerok [7]

Answer:

x = -1.14 or -13.14

Explanations:

The given equation is:

$x^2+12x\text{ = 15}$

Find the half of 12, and add the square to both sides of the equation.

That is add 6² to both sides

$x^2+12x\text{ + 6}^{2}\text{ = 15 + 6}^{2}$ $\begin{gathered} (x+6)^2\text{ = 15 + 3}6 \\ (x+6)^2\text{ = 51} \\ \end{gathered}$

Find the square root of both sides:

$\begin{gathered} \sqrt[]{(x+6)^2_{}}=\pm\sqrt[]{51} \\ \text{x + 6 = }\pm\sqrt[]{51} \\ x\text{ = -6 }\pm\sqrt[]{51} \\ \text{x = }-6\pm7.14 \\ x\text{ = -6+7.14 = }1.14 \\ x\text{ = -6 - 7.14} \\ \text{x = -13.14} \end{gathered}$

x = -1.14 or -13.14

3 0

10 months ago

The original price is $40.90 and the sale price is 30% off what would be two different expressions for the equation?

Ann [662]

Answer:

(40.90 ÷ 100) × 30

And

0.3 × 40.90

8 0

3 years ago

Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

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3 years ago

Express in a simplified exponential notation 18a^3b^2/2ab

Sauron [17]

Hey there,

The answer is: 18a^3b2/2ab=9a^2*b

3 0

3 years ago

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If a yard is 3 feet long, how many inches are in a yard?

Anna [14]

36 inches is in a yard !

7 0

3 years ago