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3 years ago

Decide whether the rates are equivalent.

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

#1 is correct

Step-by-step explanation:

24 laps divided by 6 minutes equals 4 laps per minute.

72 laps divided by 18 minutes equals 4 laps per minute.

15 breaths divided by 36 seconds does not equal the same rate as 90 breaths divided by 3 minutes.

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14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.

kvasek [131]

Answer:

123 456lcm divison method

6 0

3 years ago

A pair of equations is shown below: y = 7x - 8 y = 5x - 2 Part A: Explain how you will solve the pair of equations by substituti

yuradex [85]

So, first of all you have to identify the two equations which are: y=7x-8 and y=5x-2. after identifying the two equation you can choose one of them to start with. I chose the first one and I'll use substitution method, which means I'll pug in numbers in the unknown variables to find the value of x. Y=7x-8, I'll substitute the value of y in the equation that I chose and plug in the value of the second equation. Y=7x-8 --> 5x-2=7x-8 (this is our new equation). After that I'll combine like terms. -2+8=7x-5x --> 6=2x --> 6/2=x --> 3=x. So x=3 and that's the answer using substitution method. If the two points are graphed, they will intersect at the point (3,13). To see where the intersection of the line we can use a calculator to make it faster. So we plug in the points of the two lines in the calculator we graph and find the intersection point.

8 0

3 years ago

Rewrite the six trigonometric functions of theta in termsn of sin and or cosine of the reference anfle, sketch botht eh given an

Ede4ka [16]

There are mainly six trigonometric functions for right angle triangle which are

sinФ
cosФ
tanФ
cosecФ
secФ
cotФ

All of these can be expressed in the form of sinФ and cosФ as following:

sinФ = sinФ
cosФ = cosФ
tanФ = sinФ/cosФ
cosecФ = 1/sinФ
secФ = 1/cosФ
cotФ = cosФ/sinФ

This angle Ф is shown in the attached drawing in a right angle triangle drawn within a circle which is the given angle. Right angle is mentioned as "90".

3 0

3 years ago

When the light turns yellow, should you stop or go through it? An article defines the “indecision zone” as the period when a veh

olga2289 [7]

Answer:

Probability: 0.7190

There is not enough evidence at the 5% level of significance to suggest that there is difference in proportions of red-light runners between the two intersections

Step-by-step explanation:

We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in proportion of red-light runners between the 2 lights, then the difference in proportions will be zero. That makes the null hypothesis

H0: p1 - p2 = 0

The question is asking whether there is a difference, meaning that the difference can be higher or lower. If there is a difference, the proportions are not equal. This makes the alternate hypothesis

Ha: p1 - p2 ≠ 0

This is a two tailed test

We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.96 or z < -1.96.

If our test statistic falls in either region, we will reject the null hypothesis.

See the attached photo for the hypothesis and conclusion

The z-value of the test statistic is z = 0.58.

P(z < 0.58) = 0.7190

8 0

3 years ago

IS ANYONE GOOD AT CALCULUS? PLEASE HELP!!! The rate at which a certain radioactive isotope decays is given by = negative 0.0032

victus00 [196]

Answer:

90 days.

Step-by-step explanation:

dy/dt = - 0.0032y

dy = -0.0032y dt

dy/y = -0.0032 dt

Integrating:

ln y = -0.0032t + c where c is some constant

y = e^(-0032t) + e^c

y = A e^(-0032t) where A is a constant.

At time 0 we can let y = 1 so in that case A = 1

When there is 0.75 of y left:

0.75 = e^-0032t

ln 0,75 = -0032 t

t = ln 0.75 / -0032

t = 90.

6 0

3 years ago