All categories

3 years ago

The weight of 1000 identical samples of a substance is 0.1 pounds. What is the weight of 100 smaples?

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

4 0

0.010000000000000000000000000

You might be interested in

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

A number divided by eleven.

Sliva [168]

Answer:

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.

4 0

3 years ago

Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?

Savatey [412]

Answer: (2, 18)

Step-by-step explanation:

When x=2, $f(2)=2(3)^{2}=18$ .

So, it should pass through (2, 18).

8 0

2 years ago

What expression is equivalent to <br> P/3 + (3s + 7)

ella [17]

Answer:

(P+9s+21)/3

Step-by-step explanation:

hello :

P/3 + (3s + 7) = P/3 + 3(3s + 7)/3 = (P+9s+21)/3

4 0

3 years ago

This graph represents a transformation of the parent cube root function. Replace the values of h and k to create the equation of

Zigmanuir [339]

Answer: H is 5 and K is 2

Step-by-step explanation:

8 0

3 years ago