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3 years ago

The velocity-time graph for a cycle is shown.

Mathematics

1 answer:

ivolga24 [154]3 years ago

3 0

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

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A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia

iogann1982 [59]

$\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\$

$\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}$

what's the population in 2004? well, from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004

3 0

3 years ago

Morgan works at a store that sells clothing accessories. The supply function

jarptica [38.1K]

Answer:

The number of supply of base balls is 22

Step-by-step explanation:

Given

P = Q - 4

Price = $18

Required

Number of supply

The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.

To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;

Thus, giving:

18 = Q - 4

Make Q the subject of formula

Q = 18 + 4

Q = 22 quantities

Hence, the number of supply of base balls is 22

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3 years ago

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How do you solve the inequality <br><br> -6+7n< - 48 or 3x - 4 less than or equal to 8

Pachacha [2.7K]

Answer:

We have 7n < 6 - 48;

7n < - 42;

n < -6;

Then, 3n - 4 ≤ 8;

3n ≤ 12;

n ≤ 4;

Step-by-step explanation:

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3 years ago

A store is having a 20% off sale on all merchandise. If Mai buys one item and saves 13$, what was the original sale price of her

Montano1993 [528]

Answer:

$65 is the original price

Step-by-step explanation:

65 x .8 = 52 which is 13 off

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