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Mariana [72]
3 years ago
14

Find the common difference of the arithmetic sequence -19, -16, -13, ...

Mathematics
1 answer:
Yuliya22 [10]3 years ago
4 0

Answer:

d= +3

Step-by-step explanation:

1st term = -19

2nd term = -16

d = 2nd - 1st

d= -16-(-19)

d = +3

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What type of association would you expect between a persons age and hair length
hjlf

Answer:

The length of their hair reduces. This is because the length of hair is dependent on the growth phase (anagen phase) of the hair follicles. When one is young, the cells of the papilla divide more rapidly and hence cause the length of the hair to be long before reaching transitional phase (catagen phase) and then shed off in the telogen phase. The older one gets, the papilla cells do not divide as rapidly and the length of the hair shortens with age.

4 0
3 years ago
EXPERTS PLEASE HELP!!!!!!!!!!!!!!
Arturiano [62]

Answer:

1. D

2. x=65

Step-by-step explanation:

Hi!

Your answer is D because 78 is 120% of x

120% in decimal point is 1.2.

So it's 1.2x is the same as 120% of x

For question 8:

1.2x=78

Isolate x by divide 1.2 on both sides

78/1.2=65

7 0
3 years ago
What is the common difference of the following sequence? 4.3,5,7,9,11___<br>5.16,19,22,25__​
myrzilka [38]

Answer:

Step-by-step explanation:

4). Given sequence → 3, 5, 7, 9, 11........

    Common difference of an arithmetic sequence is defined by,

    Common difference = Successive term - previous term

                                       = 2nd term - 1st term

                                       = 5 - 3

                                       = 2

5). Given sequence → 16, 19, 22, 25........

    Common difference of an arithmetic sequence = Second term - first term

                                                                                    = 19 - 16

                                                                                     = 3

8 0
3 years ago
Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.
Andreyy89

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

5 0
3 years ago
an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of th
Kitty [74]

Answer:

300

Step-by-step explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

                                   Like Vanilla      Did not like vanilla     Total

Like Chocolate             48                           12                           60

Did not like chocolate  38                           2                             40      

Total                               86                          14                            100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

\frac{60}{100}=\frac{x}{500}

\frac{60}{100} \times 500=x

300=x

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.

4 0
4 years ago
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