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Dmitry [639]
3 years ago
5

Sacha has 4 quarters in her pocket.she has 6 timés as many quarters in her piggy Bank. 

Mathematics
1 answer:
marin [14]3 years ago
6 0
So 4X6=24 so i think the answer is 24 
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Not sure if any of this is correct, but it’s what I got so far
Irina18 [472]

Problem 1 is correct. You use the pythagorean theorem to find the hypotenuse.

==================================================

Problem 2 has the correct answer, but one part of the steps is a bit strange. I agree with the 132 ft/sec portion; however, I'm not sure why you wrote \frac{1 \text{ sec}}{132 \text{ ft}}=\frac{0.59\overline{09}}{78 \text{ ft}}*127 \text{ ft}

I would write it as \frac{1\text{ sec}}{132 \text{ ft}}*127 \text{ ft} = \frac{127}{132} \text{ sec} \approx 0.96 \text{ sec}

==================================================

For problem 3, we first need to convert the runner's speed from mph to feet per second.

17.5 \text{ mph} = \frac{17.5 \text{ mi}}{1 \text{ hr}}*\frac{1 \text{ hr}}{60 \text{ min}}*\frac{1 \text{ min}}{60 \text{ sec}}*\frac{5280 \text{ ft}}{1 \text{ mi}} \approx 25.667 \text{ ft per sec}

Since the runner needs to travel 90-12 = 78 ft, this means\text{time} = \frac{\text{distance}}{\text{speed}} \approx \frac{78 \text{ ft}}{25.667 \text{ ft per sec}} \approx 3.039 \text{ sec}

So the runner needs about 3.039 seconds. In problem 2, you calculated that it takes about 0.96 seconds for the ball to go from home to second base. The runner will not beat the throw. The ball gets where it needs to go well before the runner arrives there too.

-------------

The question is now: how much of a lead does the runner need in order to beat the throw?

Well the runner needs to get to second base in under 0.96 seconds.

Let's calculate the distance based on that, and based on the speed we calculated earlier above.

\text{distance} = \text{rate}*\text{time} \approx (25.667 \text{ ft per sec})*(0.96 \text{ sec}) \approx 24.64032 \text{ ft}

This is the distance the runner can travel if the runner only has 0.96 seconds. So the lead needed is 90-24.64032 = 65.35968 feet

This is probably not reasonable considering it's well over halfway (because 65.35968/90 = 0.726 = 72.6%). If the runner is leading over halfway, then the runner is probably already in the running motion and not being stationary.

As you can see, the runner is very unlikely to steal second base. Though of course such events do happen in real life. What may explain this is the reaction time of the catcher may add on just enough time for the runner to steal second base. For this problem however, we aren't considering the reaction time. Also, not all catchers can throw the ball at 90 mph which is quite fast. According to quick research, the MLB says the average catcher speed is about 81.8 mph. This slower throwing speed may account for why stealing second base isn't literally impossible, although it's still fairly difficult.

5 0
3 years ago
X^2-8x+16 divided by ax-4x numerator
Vedmedyk [2.9K]

Answer:

Given:

1). x^2-8x+16 divided by x-4

⇒ \frac{x^2-8x+16}{x-4}

⇒ \frac{x^2-2\times x\times 4+4^2}{x-4}

By factorising numerator by using identity, (a-b)^2=a^2-2\times a \times b +b^2

⇒ \frac{(x-4)^2}{x-4}

⇒ \frac{(x-4)\times(x-4)}{x-4}

⇒ x-4  <u> {Answer}</u>

2). 3x^2y divided by 6xy^2

⇒ \frac{3x^2y}{6xy^2}

⇒\frac{3\times x\times x\times y}{6\times x\times y\times y}

⇒ <u>\frac{x}{2y}</u>  <u>{ Answer}</u>

4 0
3 years ago
Write a linear function f with the values f(5) = -1 and f(0) = -1.
vichka [17]

Answer:

Step-by-step explanation:

F(x)=-1

6 0
3 years ago
Find each amount:<br><br><br><br> 3.8% of 25
Maurinko [17]

Answer:

0.95

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which of the following is a true statement? a) The correlation coefficient r is always greater than 1. b) The coefficient of det
brilliants [131]

Answer:

f) None of the above.

Step-by-step explanation:

When we try to adjust a curve from a scatter plot to try and predict values of the dependent variable y given known values of the independent variable x.

The curve is a function y=f(x) which usually is a line, a logarithmic, parabola, power or exponential.

In order to choose which curve adjust the best, we compute a number r called correlation coefficient.

The closer r  is to -1 or +1, the better the curve adjust the scatter plot.

When r =0, we say there is no correlation between the points x and y

When -1<r<0 we say there is a negative correlation, this means that the values of y decrease as the values of x increase.

When 0<r<1 we say there is a positive correlation, this means that the values of y increase as the values of x increase.

When r =1 or r =-1, we say that there is a perfect correlation. It means that all of the points of the scatter plot lie on the curve.

So, from the possible choices of answer, f) None of the above is the right one.

6 0
3 years ago
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