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anzhelika [568]

3 years ago

9

James is building a doll house that is proportional to his own house. He is using a scale of 0.5 inch = 1 foot. If the doll hous

e is 12.3 inches tall, how tall is his house?

1 answer:

Minchanka [31]3 years ago

3 0

24.6 because 12.3 divided by 0.5 is 24.6

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Which of the following is an extraneous solution of sqrt 4x + 41 = x+5

stiv31 [10]

Answer:

x=-8

Step-by-step explanation:

$\sqrt{4x+41}=x+5$

on squaring both sides

$4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0$

either x-2=0 or x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

$\sqrt{4\times 2+41}=2+5$

7=7 hence, it is not an extraneous solution

Putting x=-8 in original equation

$\sqrt{4\times (-8)+41}=-8+5$

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

3 0

3 years ago

Read 2 more answers

3. F (7,-2). If F is rotated 90 degrees about the origin. What are the<br> coordinates of F?

timama [110]

Well you said the Coordinates of F (7,-2) rotated 90 degrees

7 0

2 years ago

Which expression is m times m times m times m times m rewritten in exponential form? m Superscript 5 5 m 5 Superscript m m 5.

sukhopar [10]

The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

$m^5$

<h3>What is the exponent or power?</h3>

The exponent or power of a number represent the multiplication of the that number to the power times.

Let suppose a number 2 has the power 2. Then it will be equal to,

$2^2=2\times2$

Similarly, 3 times of number 2 equal to the number 2 with exponent 3.

$2\times2\times2=2^3$

The expression is m times, m times, m times, m times, m. It can be written as,

$m\times m\times m\times m\times m\\$

The number m is total 5 time multiply by itself. Thus, the exponential form of the above equation is,

$m^5$

The expression which is equal to the m times, m times, m times, m times, m rewritten in exponential form as,

$m^5$

Learn more about the exponents power here;

brainly.com/question/18324331

5 0

2 years ago

PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP FOR BOTH OF THEM

tankabanditka [31]

Answer:

7) B, C

8) D

Step-by-Step-Explanation:

The first thing you need to solve for is the the parenthesis

the second one simplifies to x ≤ -7

4 0

2 years ago

adiocarbon dating of blackened grains from the site of ancient Jericho provides a date of 1315 BC ± 13 years for the fall of the

Zigmanuir [339]

Answer:

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$ and $\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

Step-by-step explanation:

The equation of the isotope decay is:

$\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }$

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:

$\tau = \frac{5568\,years}{\ln 2}$

$\tau \approx 8032.926\,years$

The decay time is:

$t = 1315\,years + 2007\,years \pm 13\,years$ (There is no a year 0 in chronology).

$t = 3335 \pm 13\,years$

Lastly, the relative amount is estimated by direct substitution:

$\frac{m(t)}{m_{o}} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\mp\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{-\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$

$\left(\frac{m(t)}{m_{o}} \right)_{max} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

4 0

3 years ago