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3 years ago

Factor 8x3 − 343.

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

6 0

Answer:

A) (2x − 7) (4x² + 14x + 49)

C) (3x + 5) (9x² − 15x + 25)

Step-by-step explanation:

Sums and differences of cubes factor as:

a³ + b³ = (a + b) (a² − ab + b²)

a³ − b³ = (a − b) (a² + ab + b²)

8x³ − 343 is a difference of cubes.

(2x)³ − 7³

(2x − 7) (4x² + 14x + 49)

27x³ + 125 is a sum of cubes.

(3x)³ + 5³

(3x + 5) (9x² − 15x + 25)

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Mean birthweight is studied because low birthweight is an indicator of infant mortality. A study of babies in Norway published i

ANEK [815]

Answer: 20

Step-by-step explanation:

Formula to find the minimum sample size(n) when prior population standard deviation $(\sigma)$ is known.

$n=(\dfrac{z^c\times\sigma}{E})^2$ , where E = Margin of error , $z^c$ = Critical z-value for c confidence interval.

Given : E = 225 g , $\sigma=600$ g

Critical z value for 90% confidence = 1.645

Now, $n=(\dfrac{1.645\times600}{225})^2$

$n=(\dfrac{987}{225})^2$

$n=(4.38666666667)^2=19.2428444\approx20$

Hence, the required minimum sample size = 20

7 0

3 years ago

What is the value of the expression 4x y/2x-y when x=2 and y=4?

neonofarm [45]

This function is undefined. E side of you plug the values of x and y into the denominator the denominator = 0 and you cannot divide by zero

7 0

3 years ago

PLEASE HELP!!!!!!! ALSO SHOW WORK

Dimas [21]

Answer: a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

Step-by-step explanation:

Since we have given that

Area of square pen = 529 sq. yd

Let the length of each side be 'a'.

As we know the formula for "Area":

$Area=a^2\\\\529=a^2\\\\\sqrt{529}=a\\\\a=23\ yd$

So, the perimeter of the square pen is given by

$4\times s=4\times 23\\\\=92\ yd$

So, perimeter of square pen = Perimeter of round pen

$92=2\pi r\\\\92=2\times 3.14\times r\\\\\dfrac{92}{2}=3.14\times r\\\\\dfrac{46}{3.14}=r\\\\14.64=r$

So, the diameter of round pen is $2\times r=2\times 14.64=29.29\ yd$

And the area of round pen is

$\pi r^2\\\\=3.14\times (14.64)^2\\\\=672.99\ sq.\ yd$

Hence, a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

3 0

3 years ago

Anybody know this???

Rom4ik [11]

Answer:

Step-by-step explanation:

well you have to use pemdas and put the letters with the numbers and stuff that is hard to explane

8 0

3 years ago

Find a 20 given that a 3 = 9 and a 8 = 24

Nimfa-mama [501]

Answer:

a₂₀ = 60

Step-by-step explanation:

Given :-

a₃ = 9

a₈ = 24

To find :-

a₂₀

Solving :-

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

Final answer :-

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

a₂₀ = 60

8 0

2 years ago