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2 years ago

6ft to 6yd in unit rate

Mathematics

1 answer:

luda_lava [24]2 years ago

3 0

Just change feet into yards and multiply it

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8<br> Given the summation E (3 + 2n),<br> n=1<br> a. Write the first four terms of the sequence.

Troyanec [42]

Answer:

(e^3 / e^2n)

Step-by-step explanation:

5 0

2 years ago

Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.

likoan [24]

Let $v$ be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

$\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}$

where $s_A,\ s_B$ are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if $s_A=s_B$ , and we know that this happens after two hours, i.e. at $t=2$

$\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450$

Solving this equation for v we have

$2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105$

So, train A is travelling at 105 km/h. This implies that train B travels at

$105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}$

5 0

2 years ago

A correlation coefficient of _____ indicates that the variables form a perfect linear relationship.

serg [7]

A correlation coefficient of 1 or -1 indicates that the variables form a perfect linear relationship.

8 0

2 years ago

8 A video game that usually costs $50 is on sale for $32.50

finlep [7]

The video game is on 35% discount.

Step-by-step explanation:

Cost of video game = $50

Price on sale = $32.50

Amount of discount = Original price - price on sale

$Amount\ on\ discount = 50-32.50\\Amount\ on\ discount= \$17.5$

Percentage = $\frac{Dicount\ Price}{Original\ Price}*100$

$Percentage=\frac{17.5}{50}*100\\Percentage=\frac{1750}{50}\\Percenatge=35\%$

The video game is on 35% discount.

Keywords: Percentage

Learn more about percentages at:

#LearnwithBrainly

6 0

2 years ago

Solve the following equation. log(3x)=log(2x-4) *

Irina18 [472]

log(3x) = log(2x-4)

taking antilog of both sides:

3x = 2x - 4

3x - 2x = -4 [subtracting 2x from both sides]

x = -4

and we're done already!

5 0

2 years ago