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katrin [286]
2 years ago
9

Pete saw that he was 200 yards from shore when he dove out of the boat. It took him 49 seconds to swim the first 50 yards. At th

at rate, how much longer will it take to reach the shore?
tysm<3
Mathematics
1 answer:
Ivenika [448]2 years ago
7 0

Answer:

147 seconds to get to the shore(after the 49 seconds)

Step-by-step explanation:

If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds

for minutes, just divide by 60

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Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]

Answer:

The function is y~=~12 ~-~ 0.5 \cdot x.

The slope is m=-0.5.

The y-intercept is b=12.

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

y=mx+b

We have the following data:

\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}

To find the line of best fit for the points given, you must:

Step 1: Find X\cdot Yand X\cdot X as it was done in the table below.

Step 2: Find the sum of every column:

\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

\begin{aligned}        b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}

The graph of the regression line is:

5 0
3 years ago
a car reduced its speed in a ratio of 2 to 3 if the final speed was 90 km per hour then what was the original speed.​
Licemer1 [7]

Answer:

Orginal Speed is 135

Step-by-step explanation:

The ratio of final speed: original speed is

\frac{2}{3\\}

We know that 90 km is it final speed so, we set up a proportion

\frac{2}{3} =90/x

2x=270\\x=135

8 0
2 years ago
As a diver descends into sea water, the pressure increases by 1 atmosphere every 33 feet. The inequality below can be used to de
max2010maxim [7]
After 4 atmospheres the diver descends -132 feet because -33*4=-132
8 0
3 years ago
The sum of two polynomials is –yz? - 322 – 4y + 4. If one of the polynomials is y - 4yz? -3, what is the other
ziro4ka [17]
The last option because it’s the one that makes that will get you the sum need when added with the other polynomial
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3 years ago
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AURORKA [14]

Answer:

any point on the graph that's not shaded

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you can just plot any point on the graph that's not shaded(because it's not a solution to the inequality).

for example, (3, -5) or (-4, -5) or (7, 0)

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