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2 years ago

1. How many integers are between square root of /5 and square root of /105? Show your work or Explain.

Mathematics

1 answer:

svp [43]2 years ago

7 0

Answer:

10x10 = 100 and 11x11 = 121. Since 100<105<121, 10<square root of 105<11. So the square root of 105 is between 10 and 11.

Step-by-step explanation:

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Solve for x. -0.65 + 0.45x = 5.4

FinnZ [79.3K]

Answer:

x = 13.444 ... (repeating decimal) or;

x = 13 4/9

Step-by-step explanation:

-0.65 + 0.45x = 5.4

First we will add 0.65 to each 'side' of the equation.

0.65 + (-0.65) + 0.45x = 0.65 + 5.4

0.65 + (-0.65) = 0

0.65 + 5.4 = 6.05

Input the numbers, and now the equation looks like this:

0 + 0.45x = 6.05

Remove the zero:

0.45x = 6.05

Divide each 'side' by 0.45.

0.45x ÷ 0.45 = 6.05 ÷ 0.45

0.45x ÷ 0.45 = 1x = x

6.05 ÷ 0.45 = 13.444 ... repeating decimal

Input the numbers, and now the equation looks like this:

x = 13.444 ... repeating decimal

We can also write this as:

x = 13 4/9 in fraction form

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2 years ago

Write 2x+y=17 in slope-intercept form. Solve for y?

iren2701 [21]

Answer: y=2x+17

Step-by-step explanation:

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2 years ago

How do you graph 4x=2y-3

inn [45]

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.

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3 years ago

Read 2 more answers

Find the general term of the sequence c.1 { 10, 5, 0, -5, -10 } c.2 { 1, 4, 9, 16, 25 }

Ivan

Answer:

1. 15 - 5n where n>=1

2. n² where n>=1

Step-by-step explanation:

1. {10, 5, 0, -5, -10} is an Arithmetic Progression

nth term is a + (n - 1)d

where a = first term, n= nth term, d= common difference.

a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))

Therefore, nth(General) term of the sequence:

= 10 + (n - 1)-5

= 10 + (-5n) + 5

= 10 + 5 - 5n

= 15 - 5n

Test:

if n = 1; 15 - 5(1) = 10

if n = 2; 15 - 5(2) = 5

if n = 3; 15 - 5(3) = 0 and so on.

2. {1, 4, 9, 16, 25}

The general term of the sequence is n²

Test:

if n = 1; 1² = 1

if n = 2; 2² = 4

if n = 3; 3² = 9 and so on.

5 0

2 years ago

A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professio

mojhsa [17]

Answer:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled $p$ .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is $\hat p=0.76$ .

Step-by-step explanation:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled $p$ .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is $\hat p=0.76$ .

6 0

2 years ago