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Elza [17]
2 years ago
6

Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the

safe zone at 24 meters per second. After 4 seconds of driving, she was 70 meters away from the safe zone. Let y represent the distance (in meters) from the safe zone after x seconds. Complete the equation for the relationship between the distance and number of seconds.
Mathematics
2 answers:
NNADVOKAT [17]2 years ago
7 0

Answer:

24x=y or 24x-y=0 or y-24x=0

Step-by-step explanation:

To Solve , here we use the formula for velocity:

Velocity = \frac{Distance}{Time}

As given in the statement, the distance is represented by Y and Time by X

So,

Distance = y meters

Time = x seconds

Velocity = \frac{y}{x}

The given velocity is 24 m/s

24=\frac{y}{x}

Cross multiplying:

24(x) = y

Moving x to the left hand side:

or 24x-y =0

Multiplying both sides by -1

or y-24x = 0

<u>Note: The mentioned time 4 seconds and distance travelled 70 meters is not needed to calculate the relation between distance and number of seconds.</u>

marishachu [46]2 years ago
5 0

y=−24x+166

Step-by-step explanation:

hope this helps <3

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In a right triangle, the hypotenuse is three inches more than twice the length of one leg. If the other leg is 12 inches, what i
andrew-mc [135]

Answer:

Length of hypothenuse = 13 inches

Length of other leg = 5 inches

Step-by-step explanation:

A triangle has three sides and three angles. A right angle triangle has 90 degrees as one of the angles. The remaining two angles are complimentary. This means that the sum if the other two angles is 90 degrees.

The longest side is the hypotenuse. The shorter sides are the opposite and adjacent.

In this triangle, the hypotenuse is three inches more than twice the length of one leg. Let the length of one leg be x inches.

Hypothenuse = 2x + 3

The other leg is 12 inches.

The diagram is illustrated in the attached photo.

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

(2x+3)^2 = 12^2 + x^2

(2x+3)(2x+3)= 144 + x^2

4x^2 + 6x + 6x + 9 = 144 + x^2

4x^2 - x^2 + 6x + 6x + 9 - 144 = 0

3x^2 +12x - 135 = 0

3x^2 +27x - 15x - 135 = 0

3x(x+9)-15(x+9)=0

(3x -15)(x+9) = 0

3x -15 = 0 or x+9= 0

3x = 15 or x = -9

x = 15/3 = 5

x = 5inches because it cannot be negative.

Length of hypothenuse = 2x + 3

= 2×5 + 3 = 10 + 3 = 13 inches

6 0
3 years ago
According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of
worty [1.4K]

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours

a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

\mu_x=\mu=23\ hours

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{100} }=1

c) \mu_x=\mu=23\ hours

\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{1000} }=0.32

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.

The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.

5 0
3 years ago
three trigonometric functions for a given angle are shown below csc theta = 13/12, sec theta = -13/5, cot theta = -5/12 what are
goldenfox [79]
We have that
csc ∅=13/12
sec ∅=-13/5
cot ∅=-5/12

we know that
csc ∅=1/sin ∅
sin ∅=1/ csc ∅------> sin ∅=12/13

sec ∅=-13/5
sec ∅=1/cos ∅
cos ∅=1/sec ∅------> cos ∅=-5/13

sin ∅ is positive and cos ∅ is negative
so
∅ belong to the II quadrant

therefore
<span>the coordinates of point (x,y) on the terminal ray of angle theta are
</span>x=-5
y=12

the answer is
point (-5,12)

see the attached figure

6 0
3 years ago
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snow_tiger [21]
U can easily put this through a calculator, but it’s 24 :)
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lakkis [162]
Total cost = $13.05 + 10.26
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= $7.77 each
6 0
3 years ago
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