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2 years ago

8

Y = 4x y = x^4 solve without graphing

1 answer:

jasenka [17]2 years ago

4 0

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Toby the cat had quite a day. Toby caught 14 mice and ate 9 of them. How many mice does Toby still HAVE TO eat?

schepotkina [342]

Answer:

5

Step-by-step explanation:

14-9 = 5

3 0

2 years ago

Read 2 more answers

A particular isotope has a half-life of 74 days. If you start with 1 kilogram of this isotope, how much will remain after 150

shtirl [24]

$\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}$

$\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}$

6 0

3 years ago

the lines graphed below are parallel. the slope of the red line is -4/3. what is the slope of the green line

ch4aika [34]

Answer:

-4/3

Step-by-step explanation:

If the lines are parallel, they have the same slope.

Since the red line has a slope of -4/3, the green line will have a slope of -4/3

5 0

3 years ago

Find the coordinates of the point 7/10<br> of the way from A to B.

Artyom0805 [142]

Answer:

(2.6, -2.7)

Step-by-step Explanation:

Let X represent the point which is 7/10 of the way from A to B.

AX to XB = 7:10 = AX/XB = 7/10.

Formula for internal division to find the coordinates is:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$A(-4, -8) = (x_1, y_1)$

$B(12, 5) = (x_2, y_2)$

$m = 7, n = 10$

Substitute the values above into the stated formula to find x and y coordinates as follows:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{7(12) + 10(-4)}{7 + 10}$

$x = \frac{84 - 40}{17}$

$x = \frac{44}{17}$

$x = 2.6$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{7(5) + 10(-8)}{7 + 10}$

$y = \frac{35 - 80}{17}$

$y = \frac{-45}{17}$

$y = -2.7$

The coordinates of the point 7/10 of the way from A to B are (2.6, -2.7)

5 0

3 years ago

Alice and Bob arrange to meet for lunch on a certain day at noon. However,neither is known for punctuality. They both arrive ind

tigry1 [53]

Answer:

probability of there meeting = 15/(60-15) = 15/45 = 0.333 = 33%

Step-by-step explanation:

favorable event = +- 15 minutes

total time they can eat launch is between noon and 1pm = 60minutes

they are both known for non punctuality, that means they cant meet up at 12noon, let assume 15minutes pass noon.

probability of there meeting = 15/(60-15) = 15/45 = 0.333 = 33%

which is probably saying they will not meet for lunch that day.

5 0

3 years ago