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3 years ago

14

Which of the following terms refers to the level of detail of a measurement, such as the number of decimal places to which an am

ount is measured?
a. accuracy
b measurement
c estimation
d precision

1 answer:

Basile [38]3 years ago

8 0

Answer:

Option D.

Step-by-step explanation:

Precision refers to the the level of measurement and exactness of a measurement. The mean diference between '<em>precision</em>' and '<em>exactness</em>' is that if a measuring device gives consisten measurements it's considered precise, but it's not necessarily accurate.

For example, a measurement of 2.365m is more precise than a measurement of 2.3m, given that 2.365m has more significant figures and was made with an instrument that has higher precision. This doesn't mean that the measurement is accurate, the real value could be 3m for example! ✅

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Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

3 years ago

Triangle A′B′C′ is a dilation of triangle ABC .

Bumek [7]

Answer:

1/2

Step-by-step explanation:

The scale factor is 1/2 because each side length of $\triangle{A'B'C'}$ is 1/2 of the length of the side lengths of $\triangle{ABC}$ .

Hope this helps :)

6 0

2 years ago

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?

liubo4ka [24]

The quotient of $x^{3}+3x^{2} -4x-12$ divided by $x^{2} +5x+6$ is (x-2_.

Given the polynomial $x^{3}+3x^{2} -4x-12$ and $x^{2} +5x+6$ and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of $x^{3}+3x^{2} -4x-12$ divided by , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

$x^{3}+3x^{2} -4x-12$ = $x^{2} +5x-6$ *(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of $x^{3}+3x^{2} -4x-12$ divided by $x^{2} +5x-6$ is (x-2).

Learnmore about quotient at brainly.com/question/673545

#SPJ4

Question is incomplete as the given expressions are incomplete as they should be like this:

$x^{3}+3x^{2} -4x-12$ and $x^{2} +5x-6$ .

4 0

1 year ago

What is the growth factor of the following example? Assume time is measured in the units given.

My name is Ann [436]

Answer:

B. 0.20 per century

Step-by-step explanation:

I calculated it logically

8 0

2 years ago

Given the piecewise function. Shown below

creativ13 [48]

Answer:

(x, g(x)) = {(-2, -2), (0, 0), (2, 2), (4, -3), (6, -3)}

Step-by-step explanation:

The first three values of x in the table are all less than or equal to 2, so the first part of the function definition applies. The y-value is equal to the x-value. The ordered pairs are ...

(-2, -2), (0, 0), (2, 2)

The last two values of x in the table are more than 2, so the last part of the function definition applies. For those values of x, the y-value is -3. The ordered pairs are ...

(4, -3), (6, -3)

5 0

3 years ago