MATHEMATICS HIGH SCHOOL

What is the percent change between 6 to 3?

Answers

Answer 1

Answer:

Answer:

50% = percent chang

Step-by-step explanation:

6 ÷ 50%

6 × .50 = 3

3 ÷ .50 = 6

Answer 2

Answer: The percentage change is 50%

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The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to estimate the resulting error, measured in squared inches, in the surface area of the ice cube.

Answers

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6*1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 * 0.001=0.012$

So the error is 0.012.

A number is doubled and then decreased by 13. the result is 61. what is the ordinal number?

Answers

let x be the number
x + x - 13 = 61
2x - 13 = 61
2x = 61 + 13
2x = 74
2x/2 = 74/2
x = 37

i would use the inverse operation.
61 divided by 2 plus 13 equals 43.5

hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

Answers

Answer:

$2√(6)$

Step-by-step explanation:

Perimeter of equilateral triangle = 36 inches

Formula of perimeter of equilateral triangle = $3* side$

⇒ $36=3* side$

⇒ $(36)/(3) = side$

⇒ $12= side$

Thus each side of equilateral triangle is 12 inches

Formula of area of equilateral triangle = $(√(3))/(4) a^(2)$

Where a is the side .

So, area of the given equilateral triangle = $(√(3))/(4) * 12^(2)$

= $36√(3)$

Since hexagon can be divided into six small equilateral triangle .

So, area of each small equilateral triangle = $(36√(3))/(6)$

= $6√(3)$

So, The area of small equilateral triangle :

$(√(3))/(4)a^(2) =6√(3)$

Where a is the side of hexagon .

$(1)/(4)a^(2) =6$

$a^(2) =6* 4$

$a^(2) =24$

$a =√(24)$

$a =2√(6)$

Hence the length of a side of the regular hexagon is $2√(6)$

$Perimter\ of\ equilateral\ triangle\ =36\n a- \ side\ of\ triangle\n 36=3a\ |:3\n a=12\n\n Area\ of\ equilateral\ triangle:\n A=(a^2√(3))/(4)\n A=(12^2√(3))/(4)\n A=(144√(3))/(4)=36\sqrt3 \n\n Hegagon\ can\ be\ divided\ into\ 6\ equilateral\ small\ triangles.\nArea\ of\ one\ of\ them: A_s=(A)/(6)=(36\sqrt3)/(6)=6√(3)\n s-side\ of\ equilateral\ =\ side\ of\ small\ triangle\n A_s=(s^2√(3))/(4)=6√(3)\ |*4 \n s^2\sqrt3=24\sqrt3\ |\sqrt3\n s^2=24\n s=√(24)$ $√(24)=√(4*6)=2\sqrt6\n\n Side\ of\ hexagon\ equals\ 2\sqrt6\ inches$

Find 12 1/2% of 96 men

Answers

$12(1)/(2)$ percent of 96 men is 12 men.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, $12(1)/(2)$ % of 96 men.

Here, $12(1)/(2)$ % =12.5%

Now, 12.5% of 96

12.5/100 ×96

= 0.125×96

= 12 men

Therefore, $12(1)/(2)$ percent of 96 men is 12 men.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

12 1/2 can be written as 25/2
25/2% of 96 men
25/2*100 *96
on solving we get 12 men (ans)

Find the equation of the line that satisfies the given conditionsx intercept (7,0)
slope 2

standard form
slope intercept form

Answers

To find the equation use this form:

y - y0 = m * (x - x0)

y - 0 = 2 (x - 7)

y = 2x - 14

That is the slope intercept form

The standard form is Ax + By = C

Where A, B and C have to be integer and simplified (divided by the greatest common divisor of A, B and C).

Starting with y = 2x -14

2x - y = 14.

Tha is the standard form

Consider the quadratic function f(x) = -x²-x+2.Determine the following: (enter all numerical answers as integers, fractions, or decimals):
The x-intercepts are
The y-intercept is
The vertex is
The line of symmetry has the equation
Give your answers as points, separated by a comma.
Give your answer as a point.

Answers

the x-intercepts are (-1, 0) and (2, 0).
the y-intercept is (0, 2).
the vertex is (-0.5, 2.25).
the line of symmetry has the equation x = -0.5.

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A car insurance company has determined that 7% of all drivers were involved in an accident last year. If 11 drivers are selected at random, what is the probability that 3 or more were involved in an accident last year?