What is 9 squared plus x squared = 90

¿Cuál de las siguientes funciones es una función constante? Seleccione una: a. Y=x+1 b. Y=x+2 c. X=y+3 d. Y=3

JulijaS [17]

Answer:

Option D y=3

Step-by-step explanation:

The question in English is

Which of the following functions is a constant function?

we know that

A constant function is a function whose output value is the same for every input value

so

Verify each case

case A) y=x+1

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case B) y=x+2

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case C) x=y+3

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case D) y=3

This is a constant function

Is a function whose output value is the same for every input value

3 0

3 years ago

You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con

Naddika [18.5K]

Answer:

The sample size is $n = 68$

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 5 \ years$

The standard deviation is $\sigma = 22$

From the question we are told the confidence level is 94% , hence the level of significance is

$\alpha = (100 - 94 ) \%$

=> $\alpha = 0.06$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.881$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [\frac{1.881 } * 22 }{5} ] ^2$

=> $n = 68$

8 0

3 years ago

Ronald Dairo is helping the local indus-

nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

$a_1 = 5890\\a_2 = 7020\\a_3 = 8150$

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

$d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130$

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

$a_n = a_1+(n-1)d$

Putting the values

$a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n$

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

$a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580$

Hence,

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

5 0

3 years ago

Which equation has the following characteristics?

leva [86]

Answer is B. Have a nice day.

5 0

3 years ago

In a sample of 77 children , the mean age as at which they first began to combine words was 16.51 months

astraxan [27]

Answer:

Mean age = 1271.27

Step-by-step explanation:

No of children = 77

The age at which children first began to combine words = 16.51 months

Mean age = No of children × age at which children first began to combine words

= 77 × 16.51

= 1271.27

Mean age = 1271.27

7 0

3 years ago