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jenyasd209 [6]
3 years ago
13

Fill in the blank below with a number. Puffin is travelling through the mazes of Galaxiconia and drops a stone into a deep, dark

well.Let be the number of seconds it took before he heard the sound of it hitting the bottom.Then the number of metres the rock fell is given by 5w x w If the rock took seconds to hit the bottom, then the well is (answer) metres deep.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0
That that’s that that that that that tahtstagtahshaha
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A blouse that is size x in country a is size​ s(x) in country​ b, where ​f(x)equals=x minus−2. a blouse that is size x in the co
zysi [14]
A: x
A to B: x - 2
B to C: x + 1

f(x) = (x - 2) + 1
4 0
3 years ago
A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000 s at locations where g 5 9.8
mafiozo [28]

Answer

Given,

Period of the Pendulum, T= 1 s

acceleration due to gravity, g = 9.8 m/s²

Length of Bob = 0.2482 m

Loss of time in the clock = 1.5 minutes/ day

Loss of time in 1 oscillation

   = \dfrac{1.5\times 60}{24\times 60\times 60}

   = 0.001042

Hence, time period, T = 1 + 0.001042

                                  T = 1.001042 s

a) Using Time period of oscillation formula

T = 2\pi \sqrt{\dfrac{L}{g}}

1.001402 = 2\pi \sqrt{\dfrac{0.2482}{g'}}

g' = 9.77\ m/s^2

Free fall acceleration at the clock location = 9.77 m/s²

b) Length of pendulum bob to keep it perfect time

 1 = 2\pi \sqrt{\dfrac{L}{g}}

 1 = 2\pi \sqrt{\dfrac{L'}{9.77}}

 L' = 0.2475\ m

Hence, Length of pendulum bob is equal to 0.2475 m.

7 0
4 years ago
Which represents the polynomial written in standard form?
otez555 [7]
The answer would ne answer choice b. I don't know what the last answer choice was though.
4 0
4 years ago
Read 2 more answers
"-3x" + 5 < "-10" Inequality 2: 7x + x - 4 > 28 Which of the following values makes BOTH inequalities TRUE? Select all tha
zysi [14]

Answer:

12, 23, 48, 325

Step-by-step explanation:

So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.

Inequality 1:

(-3x) + 5 < (-10)

Inequality 2:

7x + x - 4 > 28

simplifies to: 8x - 4 > 28

When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.

Answers that apply from given list would be:

12, 23, 48, 325

6 0
3 years ago
In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
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