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3 years ago

Which of these are arithmetic sequences?

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

Answer:

Step-by-step explanation:

The first and last sequence have a common difference in them. The first having d = 4 and the second having d = 7.

The second and third have a common ratio instead and are geometric sequences. The second has r = 2, and the third having r = (-3)

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The temperature on Sunday was 82 degrees Fahrenheit. On Wednesday the temperature rose 3°F. Find the percent of increase. Round

miss Akunina [59]

It is 85 degrees out side of the temperature rose 3 degrees

8 0

3 years ago

Lettuce is planted on a 46-acre field. The field is divided into one-acre subplots. A sample is taken from each subplot to est

nalin [4]

The correct answer is B. Stratified sampling is used since the field is divided into subplots and a random sample is taken from each subplot.

Explanation:

Sampling refers to the process followed by researchers to select a group of individuals from a larger group; considering in most studies it is not possible to analyze all the population. In the case of stratified sampling, this involves dividing the general population into smaller groups, which are known as strata; after this, the researcher selects a specific number of individuals from each strata. This method guarantees the sample is selected randomly, and therefore the study is not biased. Stratified sampling was the method used in the example described because, in this, the general population (46-acre field) was divided into subplots that represent the strata. Also, after this, the researcher selected one random sample.

7 0

3 years ago

Find a rectangular equation. X = 3tan t, Y = 2sec t, for in (−π /2 , π /2 )

anzhelika [568]

Answer:

Step-by-step explanation:

$x= 3tan(t) \rightarrow tan(t) = \frac{x}{3} \rightarrow tan^2(t) = \frac{x^2}{9}$

$y= 2sec(t) \rightarrow sec(t) = \frac{y}{2} \rightarrow sec^2(t) = \frac{y^2}{4}$

$sec^2(t) -tan^2(t) =1$

$\frac{y^2}{4} -\frac{x^2}{9} =1$

is the rectangular equation of the parameter functions.

also, it is a hyperbola. The condition $-\pi/2 < t$ limit x from 0 to infinitive

7 0

3 years ago

Help please <br><br>1 thought 3

Anastaziya [24]

A function is a relation that has one output for a given input.

For the first one, there is no one x value with two or more y values so it is a function.

The second example is also a function because a certain value can only have one cube root.

For problem number 3 input "-3" for every instance of x in h(x).

So, h(-3)=2(3^2)-1= 17

6 0

2 years ago

Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___

snow_lady [41]

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

3 0

3 years ago