Which function below will translate f(x) = x2 left 5 units and down 1 unit?

Which list shows fraction that ALWAYS result in a terminating decimal for values of n > 0? A) 1/11, 1/121, 1/1331 . . . , 1/1

Alla [95]

Answer:

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Step-by-step explanation:

Comparing all the options given:

A) 1/11, 1/121, 1/1331 . . . , 1/11n

Finding the decimal of the first term,

1/11 = 0.0909090 (never ending decimal place)

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Finding the decimal of the first term,

1/10 = 0.01 (ended decimal place)

C) 1/6, 1/36, 1/126 . . . , 1/6n

Finding the decimal of the first term,

1/6 = 0.16666667 (never ending decimal place)

D) 1/3, 1/9, 1/27 . . . , 1/3n

Finding the decimal of the first term,

1/3 = 0.33333333 (never ending decimal place)

7 0

3 years ago

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What is the solution to the proportion?8/16=x/10

ehidna [41]

X=5

Because 8/16=x/10 8 is half of 16 so it is equal to the same amount as 5/10

You can simplify them both down to one fraction 1/2

Hope that I could help you

4 0

3 years ago

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5p + 3 = 15

kolbaska11 [484]

Answer:

Janet has three dollars. She decides to start saving money for five months. She wants to have a total amount of fifteen dollars at the end of the five-month period. How much money should Janet save per month?

She starts with three, and p is the amount of money she needs to save per month, and at the end of the period, she should have saved a total of fifteen dollars. In order to solve it, you must find what 12 divided by 5 is and write it as an amount of money. The answer is $2.40 or 2.4.

Step-by-step explanation:

8 0

3 years ago

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One year, the population of a city was 117,000. Several years later it was 136,890. Find the percent increase.

natulia [17]

Answer: 17%

Step-by-step explanation:

136,890-117,000=19,890

19,890/117,000=0.17

0.17*100=17% increase in the city population

8 0

1 year ago

The number of different species of plants in some gardens is recorded.

PolarNik [594]

(a) The mean of the number of different species of plants in some gardens is 4.5 .

(b) The standard deviation of the number of different species of plants in some gardens is 2.12 (Approximately)

It is given in the question that the number of different species recorded are:-

1 2 3 4 4 5 5 6 7 8

We have to find the mean and standard deviation of the given data of the number of plants of different species.

(a) We know that, the formula for mean is :-

Sum of all the observations/ Total number of observations

Hence,

Mean = $\frac{1+2+3+4+4+5+5+6+7+8}{10} =\frac{45}{10}=4.5$

(b) Standard deviation = $\sqrt{\frac{Sum(X-m)^{2} }{N} }$

Where,

X = each value

m = mean

N = number of values

Hence,

$Sum(X-m)^{2} =(1-4.5)^{2}+(2-4.5)^{2}+ (3-4.5)^{2}+ (4-4.5)^{2}+ (4-4.5)^{2}+ (5-5.5)^{2}+ (5-5.5)^{2}+ (6-5.5)^{2}+ (7-5.5)^{2}+ (8-5.5)^{2}\\ \\ Sum(X-m)^{2}=(-3.5)^{2} +(-2.5)^{2}+ (-1.5)^{2}+ (-0.5)^{2}+ (-0.5)^{2}+ (0.5)^{2}+ (0.5)^{2}+ (1.5)^{2}+ (2.5)^{2}+ (3.5)^{2} \\\\$

$Sum(X-m)^2=12.25+6.25+2.25+0.25+0.25+0.25+0.25+2.25+6.25+12.25\\\\=42.5$

Standard deviation = ${\sqrt{\frac{{42.25}}{10} }} =\frac{6.7}{\sqrt{10} }=\frac{6.7}{3.16}=2.12$ (approximately).

To learn more about mean, here:-

brainly.com/question/13451489

#SPJ4

4 0

1 year ago