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2 years ago

Whats the upper bound for 60cm measured to the nearest cm

Mathematics

1 answer:

hodyreva [135]2 years ago

4 0

Answer:

605cm

Step-by-step explanation:

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List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

svp [43]

We have to find the potential solutions to $2 ln x = 4 ln 2$ from least to greatest.

Using the properties of ln function.

$a \times ln b = ln b^{a}$

Therefore, we get

$ln x^{2} = ln 2^{4}$

$ln x^{2} = ln 16$

taking antilog on both the sides, we get

$x^{2} = 16$

So, $x = \pm 4$

Therefore, the potential solutions to 2 ln x = 4 ln 2 from least to greatest is -4 and 4.

3 0

2 years ago

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Archie can walk 1 mile in 1/3 hour. How far can walk in 3 hours explain how you found the answer

egoroff_w [7]

Answer: 9

Step-by-step explanation:

We know that he can walk one mile in 1/3 of an hour. We can divide 3 by 1/3.

3/(1/3) When dividing by a fraction, we multiply its reciprocal instead.

3*3=9. This means that he can walk 9 miles in 3 hours.

7 0

2 years ago

Simon has 160160160 meters of fencing to build a rectangular garden.

yaroslaw [1]

Answer:

Step-by-step explanation:

had it on khan

6 0

2 years ago

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Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2

VLD [36.1K]

Answer:

Part a: The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

$(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx$

So the coefficient of any term $x^ny^nz^n$ is given as

$\dfrac{2!}{n!n!n!}$

Similarly for the generic equation of coefficient of the term $x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k}$ in the equation of form $(x_1+x_2+x_3+x_4......x_k)^n$ is given as

$\dfrac{n!}{r_1!r_2!r_3!....r_k!}$

So now the coefficient of $v^9w^2x^5y^7z^2$ is given as

$=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}$

The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b:

The number of terms is given as $\left (\ {{m+n-1} \atop {n}} \right )$

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

$\left (\ {{5+25-1} \atop {25}} \right )\\\left (\ {{29} \atop {25}} \right )\\\dfrac{29!}{25!4!}=23751$

So the number of terms are 23751.

3 0

2 years ago

In a basketball game, Tatiana made 23 baskets. Each of the baskets was worth either 2 or 3 points, and Tatiana scored a total of

vekshin1

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!

4 0

2 years ago

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