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Yanka [14]
2 years ago
5

Rate of change (1,60) (8,80)

Mathematics
1 answer:
luda_lava [24]2 years ago
6 0

Answer:

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A cube has a volume of 512 mm^3. If all sides of the cube are divided by 4, what will the resulting volume be?
pshichka [43]
\bf \textit{volume of a cube}\\\\
V=s^3\qquad \boxed{s=\frac{s}{4}}\implies V=\left( \cfrac{s}{4} \right)^3\implies V=\cfrac{s^3}{4^3}\implies V=s^3\cdot \cfrac{1}{4^3}
\\\\\\
V=s^3\cdot \cfrac{1}{64}\impliedby \frac{1}{64}\textit{ of the original volume, if the original was 512}
\\\\\\
512\cdot \cfrac{1}{64}\implies \cfrac{512}{64}
3 0
3 years ago
A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing an ace? Round th
Alexus [3.1K]

|\Omega|=52\\ |A|=4\\\\ P(A)=\dfrac{4}{52}=\dfrac{1}{13}\approx0.08

6 0
3 years ago
If you need 8 oz of chocolate chips to make 1.6 lb of cookie dough how many ounces of chocolate chips will you need to make 7 lb
iren [92.7K]

Answer:

3.5 Oz of chocolate

Step-by-step explanation:

1.6 lb of cookie dough is made from chocolate of 8 Oz

1 lb will be made by 8/ 1.6 = 0.5 Oz of chocolate

Therefore

7lb of cookie dough will be made from 7 * 0.5= 3.5 Oz of chocolate/

6 0
3 years ago
The world population is projected to be 6.7 billion in 2040. At that​ time, there are expected to be approximately 2 billion mor
Charra [1.4K]
\bf \begin{cases}
s=\textit{Asia's population}\\
a=\textit{Africa's population}\\
r=\textit{rest of the world}\\
----------\\
\boxed{s}=a+2\\
\boxed{r}=\frac{s}{2}+0.2
\end{cases}\implies 
\begin{array}{llll}
s+a+r=6.7\\\\
\boxed{a+2}+a+\boxed{\cfrac{s}{2}+0.2}=6.7\\\\
a+2+a+\cfrac{\boxed{a+2}}{2}+0.2=6.7
\end{array}

solve for "a", to see what Africa's population will then be
5 0
3 years ago
(PLEASE ANSWER + BRAINLIEST ANSWER!!)
murzikaleks [220]

The arc length, radius and the included angle are related as

r\theta=\widehat {XYZ} where \theta is in radians.

The radius r is given by

r=\frac{\widehat {XYZ} }{\theta} \\ r=\frac{10.8}{1.8} \\ r=6\;units

Correct choice is (B).

8 0
3 years ago
Read 2 more answers
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