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4 years ago

8

you need 1 1/4 feet of string to make 20 holiday ornaments. to make 14 holiday ornaments you will need

1 answer:

alexira [117]4 years ago

7 0

we know that

$1\frac{1}{4} =(1*4+1)/4=5/4=1.25 ft$

by proportion

$\frac{1.25}{20} =\frac{x}{14} \\ \\20*x=14*1.25\\ \\x=0.875\ feet$

$0.875\ feet=\frac{7}{8}\ feet$

therefore

the answer is

$\frac{7}{8}\ feet$

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Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

No singular point due to the exponent in the solution

The interval is $-\infty$

b

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

7 0

3 years ago

Solve using the square root property.X^2=-12

Alla [95]

Answer:

x = ± 2i $\sqrt{3}$

Step-by-step explanation:

note that $\sqrt{-1}$ = i

x² = - 12 ( take square root of both sides )

x = ± $\sqrt{-12}$ = ± $\sqrt{4(3)(-1)}$ = ± 2i $\sqrt{3}$

5 0

2 years ago

Hey I’m struggling with number 13 so please show your work. Thx

Dafna11 [192]

Answer:

$\frac{5}{12}$

Step-by-step explanation:

Because $\frac{3}{5}$ is being multiplied by S, we can divide $\frac{3}{5}$ from both sides of the equation. This will give us:

$\frac{1}{4}$ ÷ $\frac{3}{5}$

But, that looks a bit hectic. Instead of dividing, you can multiply by the reciprocal (which is essentially how to divide fractions). So, instead of $\frac{1}{4}$ ÷ $\frac{3}{5}$ , you get:

$\frac{1}{4}$ × $\frac{5}{3}$

When multiplying fractions, remember you can just multiply straight across-- numerator x numerator, then denominator x denominator.

By doing that, you get the fraction $\frac{5}{12}$

$\frac{5}{12}$ cannot be simplified any more, so S= $\frac{5}{12}$ is your answer :)

I hope this helps

6 0

3 years ago

If triangle ocd ≅ triangle JAL, then which of the following statements are true?

Roman55 [17]

Answer:

I III and IV

Step-by-step explanation:

8 0

3 years ago

4. Benson sells vacuum cleaners on a commission. He earns $75 for each vacuum cleaner he sells.

Wittaler [7]

He would have to sell at least 19 vacuums.

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3 years ago

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