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3 years ago

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Which two square roots are used to estimate the square root of 67

1 answer:

viva [34]3 years ago

5 0

$\bf \boxed{\sqrt{64}}\rule[0.35em]{10em}{0.25pt}\sqrt{67}\rule[0.35em]{19em}{0.25pt}\boxed{\sqrt{81}}$

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Last two!!(ty for all the help) :

malfutka [58]

With the b2+b- 12 your gonna want to do this
b2+b-12
b2+4b-3b-12
which is the sum product
after doing that you wanna common the factors from the two pairs. Which is b2+4b-3b-12 then you do you parentheses around b(b+4)-3(b+4) just like that after you do that then you rewrite it in factored form b(b+4)-3(b+4) you then want to rewrite it to this (b-3)(b+4) after that your solution will be (b-3)(b+4) for the first one.

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2 years ago

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What are the potential solutions of In(x^2-25)=0?

Maslowich

Answer:

$x =\pm \sqrt{26}$

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

ln ( x² - 25 ) = 0

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

<u>Equation</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies log_e {(x^2-25)}= 0$

<u>In </u><u>general</u><u> </u><u>:</u><u>-</u><u> </u>

If we have a logarithmic equation as ,

$\implies log_a b = c$

Then this can be written as ,

$\implies a^c = b$

In a similar way we can write the given equation as ,

$\implies e^0 = x^2 - 25$

Now also we know that $a^0 = 1$ Therefore , the equation becomes ,

$\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}$

<u>Hence</u><u> the</u><u> </u><u>Solution</u><u> </u><u>of </u><u>the</u><u> given</u><u> equation</u><u> is</u><u> </u><u>±</u><u>√</u><u>2</u><u>6</u><u>.</u>

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3 years ago

Which place value contains the 7 in the quotient of 8,928 divided by 24?

Ainat [17]

Answer: 7 is in tens place

Step-by-step explanation: 8928 ÷ 24 = 372

Ones place - 2

Tens place - 7

Hundreds place - 3

The 7 is in the tens place

5 0

2 years ago

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John needs to cut three strips of wood, 25.5 cm, 15.3 cm, and 9.25 cm long. He has a strip that is 72 cm long. How long will the

NeX [460]

Add the three strips of cut wood together:

$25.5 + 15.3 = 40.8$

$40.8 + 9.25 = 49 + 1.05 = 50.05$

John will need to cut a total of 50.05cm of wood.

Subtract this total from the strip John has:

$72 - 50.05 = 22 - .05 = \boxed{21.95}$

The leftover piece will be 21.95cm long.

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3 years ago

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Ancient paintings were found on cave walls in South America. The Carbon-14 in the paintings was measured and was found to be 19%

balu736 [363]

Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)

Step-by-step explanation:

The exponential decay model for Carbon- 14 is given by the followig formula:

$A=A_{o}e^{-0.0001211.t}$ (1)

Where:

$A$ is the final amount of Carbon- 14

$A_{o}=$ is the initial amount of Carbon- 14

$t$ is the time elapsed (the value we want to find)

On the other hand, we are told the current amount of Carbon-14 $A$ is $19\%=0.19$ , assuming the initial amount of Carbon-14 $A_{o}=$ is $100\%$ :

$A=0.19A_{o}$ (2)

This means: $\frac{A}{A_{o}}=0.19$ (2)

Now,finding $t$ from (1):

$\frac{A}{A_{o}}=e^{-0.0001211.t}$ (3)

Applying natural logarithm on both sides:

$ln(\frac{A}{A_{o}})=ln(e^{-0.0001211.t})$ (4)

$ln(0.19)=-0.0001211.t$ (5)

$t=\frac{ln(0.19)}{-0.0001211}$ (6)

Finally:

$t=13713.717years$ This is the age of the paintings and the option that is nearest to this value is C. 13839 years

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3 years ago