MATHEMATICS HIGH SCHOOL

If each lap around a track is 400 meters long, how many laps equal 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter)

Answers

Answer 1

Answer:

Answer:

129.032258064516129

Step-by-step explanation:

Answer 2

Answer:

Final answer:

To convert 3.1 miles into laps on a 400m track, we first convert miles to meters, getting approximately 4988.954 meters. Dividing by 400 meters per lap, we find the distance is approximately 12.5 laps.

Explanation:

The first step is to convert miles into meters, because the laps are measured in meters. There are approximately 1609.34 meters in a mile. So, 3.1 miles would be approximately 4988.954 meters (3.1 x 1609.34 = 4988.954).

As each lap is 400m, we can determine the number of laps by dividing the total distance in meters by the length of one lap. So, 4988.954 meters divided by 400 meters per lap gives us approximately 12.5 laps. Since we need to round to the nearest tenth, our final answer becomes 12.5 laps.

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How many cups of sugar is needed for 5 gallons

Answers

Try doing 16 times 5. Since there are 16 US customary cups in a gallon.

What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and velocity of the toy car.

Answers

Part A: The correlation coefficient is 1. It means that the values of both x and y has a strong relationship giving them a avalue of 1.

Part B: The value of the slope of the graph is 0.5. the slope of the line represents how steep is the line of your graph

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What is y = (x-6)^2 - 2 in y = ax^2+bx+c form

Answers

easy, just expand
y=(x-6)^2-2
y=(x-6)(x-6)-2
y=x^2-6x-6x+36-2
y=x^2-12x+34
y=ax^2+bx+c
a=1
b=-12
c=34

y = (x - 6)² - 2
y = (x - 6)(x - 6) - 2
y = (x(x - 6) - 6(x - 6)) - 2
y = (x(x) - x(6) - 6(x) + 6(6)) - 2
y = (x² - 6x - 6x + 36) - 2
y = (x² - 12x + 36) - 2
y = x² - 12x + 36 - 2
y = x² - 12x + 34

A kite, flying 50 feet high in the air is attached by a string to a stake in the sand. How long is the string to the nearest tenth of a foot?a) 50.0 feet
b) 70.7 feet
c) 86.6 feet
d) 100.0 feet ...?

Answers

Height of the kite from the ground = 50 feet
Angle at which the kite is flying = 45 degrees
Let us assume the length of the string = x feet
Then
x = 50 * (square root 2)
= 50 * 1.414
= 70.7 feet
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".

Answer:

the answer is b) 70.7 feet

Step-by-step explanation:

thank you for amazing answers on the board.

M is between L and N. LM= 7x -1 MN = 2x 4, and LN =12. Find the value of x an determine if M is a bisector

Answers

The value of x for the given line segment LN is 1.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given,

Line segment LN

LN = 12

Line segment LN has two parts LM and MN

LM = 7x

MN = 2x +4

So,

LN = LM + MN

12 = 7x + 2x +4

9x +4 = 12

9x = 9

x = 1

Hence, The value of x for the given line segment LN is 1.

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A radioactive material has a half life of 10 years. What is the fraction of the initial isotope is left after 60 years

Answers

Answer:

1/64

Step-by-step explanation:

10 = ½

20 = ¼

30 = ⅛

40 = 1/16

50 = 1/32

60 = 1/64

Answer:

0.015625 left.

Step-by-step explanation:

If we start with say 100g of the material, in 10 years there is 100 * 1/2 =

50g left ( = 0.5 left).

In 20 years there is 100*(1/2)^2 = 25 g left.

In n*10 years there is 100(1/2)^2 g

So in 60 years there is 100(1/2)^6 = 1.5625 g left

This is 1.5625 %

= 0.015625 of the origin material left.

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