7/9 + 4/5 simplest form

Answer:

Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.

Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.

If so your answer is: 2.5!

The value of f(1) is 3.

An estimate of the value of f(-1) is -0.2.

The values of x for which f(x) = 1 are: x = (0, 3).

The value of x such that f(x) = 0 is x = -0.5.

The domain of f is {-2, 4}.

The range of f is {-1, 3}.

The interval over which f is increasing is {-2, 1}.

In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of the function shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-2, 4}.

Range = {-1, 3}.

In conclusion, we can logically deduce that this function is increasing over the [-2, 1] and decreasing over the interval [1, 4].

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Answer:

The center is at (h, k) : (0, -1) and the radius is 10. ... The radius is 10. That is, since r^2 = 100, r must be 10.

Step-by-step explanation:

hope this helps you!

Answer:

B. Angle 8

Step-by-step explanation:

8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Answer:

Step-by-step explanation:

It is the correct answer I explained in your next question

Answer:

16 boys

Step-by-step explanation:

Answer:

16 boys

Step-by-step explanation:

24 x 2 = 48

48/3 = 16

The required mean height of the ocean at first high tide is 1.81 meters. Option A is correct.

Given that,
The list below shows the height, in meters, of an ocean's first high tide for each of 6 days.

Number of days =  1       2     3      4      5       6            Total = 6
                              1.72  1.8    1.86 1.88  1.74   1.86                  

The average of the values is the ratio of the total sum of values to the number of values.

Since the mean of the heights of the tides,
= sum of heights / number of heights observation
=  (1.7 + 1.8 + 1.86 + 1.88 + 1.74 + 1.86)/6
= 10.86/6
= 1.81 meters

Thus, the required mean height of the ocean at first high tide is 1.81 meters. Option A is correct.

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The set of ordered pairs that represents a function is C. { ( -40, 0) , ( 20, -30), ( 60, 50 ) }

The statement that is true, given the graph on the charges of the Mechanics, is B. Mechanic B charges $8.00 more per hour than Mechanic A.

The set of ordered pairs that would be a function is the set of ordered pairs that has different points. This means that each point corresponds to a different point. The best set is therefore  { ( -40, 0) , ( 20, -30), ( 60, 50 ) }.

The equation y = 36 x means that Mechanic A charges $ 36 per hour.

The charge by Mechanic B can be found by the formula:

= Change in y / Change in x

Using the point, ( 2, 88 ), the charge would be:

= 88 / 2

= $ 44 per hour

The difference is:

= 44 - 36

= $ 8

In conclusion, option B is correct.

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ANSWER

12

EXPLANATION

Let 'n' be the missing number. We know that the product of the number, 17, and 19 is 3876, so we have the equation,

Solve the product 17*19,

And divide both sides by 323 to solve for n,

Hence, the third number is 12.

Answer:

The answer is "23, 62, and 139"

Step-by-step explanation:

In point a:

\(\to \sigma = \$0.24\\\\ \to E = \$0.10\\\\ 95\% \text{confidence level of the z}: \\\\\to \alpha = 1 - 95\% = 1 - 0.95 = 0.05\\\\\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\)

 Calculating the sample size:

\(\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma)}{E})^2\)

      \(= (\frac{(1.96 \times 0.24 )}{0.10})^2\\\\= 22.13 \approx 23\)

In point b:

\(\to \sigma = \$0.24\\\\\to E = \$0.06\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\\)

      \(= (\frac{(1.96 \times 0.24 )}{0.06})^2\\\\= 61.47 \approx 62\)

In point c:

\(\to \sigma = \$0.24\\\\\to E =\$0.04\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\\)

      \(= (\frac{(1.96\times 0.24 )}{0.04})^2 \\\\=138.30 \approx 139\)    

The number of square feet of carpet needed for the rooms is 889 ft².

The total square footage of your house is 1200 square feet.

He wants to put new carpet in all rooms except for  the kitchen, dining room and bathroom.

Therefore,

total area = 1200 ft²

Area of the other rooms with no carpet  = (10 × 12) + (11 × 13) + (6 × 8)

Area of the other rooms with no carpet  = 120 + 143 + 48

Area of the other rooms with no carpet  = 311 ft²

Hence, the number of square feet for the house = 1200 - 311 = 889 ft²

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Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

Surface Area

Volume

Answer:

The answer is 100% NOT absolute deviation,

My first guess was range but their is a chance it's wrong.

Answer:

B.interquartile range

Step-by-step explanation:

Got correct on eedmentum...

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:

  4 and 5

Step-by-step explanation:

For answering questions like this, it can be useful to remember a few of the powers of small integers:

  2^4 = 16

  2^5 = 32

A logarithm can be considered to be an exponent of the base.

  \(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)

The ordering of powers of 2 relative to the number of interest (17) is ...

  16 < 17 < 32

  2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2

  log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality

  4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs

Log₂(17) lies between 4 and 5.

__

Additional comment

Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.

  log₂(17) = log(17)/log(2) . . . . . . using logs to the same base

Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.

Let's denote the distance between Houston and Dallas as "x" (in miles).

According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:

2.3 cm / 348 miles = 1.6 cm / x miles

To find the value of "x," we can cross-multiply and solve the equation:

(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)

2.3x = 556.8

Divide both sides by 2.3 to isolate "x":

x = 556.8 / 2.3

x ≈ 242.0869565

Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.

Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.

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Answer:

2/3 + (-2 1/3) = -1 2/3

Step-by-step explanation:

the arrow is pointing to the left to where the negative integers are so there would have to be something that would be taken away.At the start of the line it is on 2/3 and at the end of the line which is the arrow ends at -1 2/3,so process of limination.Even if you don't know what is being taken away you would examine the number line.

Hope this helps :)

That's pretty cool you know.

Answer:

thats cool. hope he getting paid good

Step-by-step explanation:

Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

Answer:

b open down and have a maximum

Step-by-step explanation:

A negative value for a will make the quadratic function open down

A downward facing parabola will have a maximum

Answer:

Step-by-step explanation:

Note that the two equations are equivalent.

2y = 14-2x can be rearranged to y = -x+7, which is the same as the second equation. What you're looking is one line on top of the other.

Every shared point is a solution. Since there are infinitely many points on a line, and these lines share every point, there are infinitely many solutions.

Answer:

11/10 and 3/4

Step-by-step explanation:

To find the better cost, you need to determine which options has a lower cost per bagel.

Answer:

x=-3

Step-by-step explanation:

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

(remove parentheses)

5x-20+3x-9x=6-2x-5+8x

(collect like terms and calculate)

-x-20=1+6x

(move the terms)

-x-6x=1+20

(collect like terms and calculate)

-7x=21

(divide both sides)

x=-3

(your answer :))

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that \(p = 0.08\)

Sample of 11 college graduates:

This means that \(n = 11\)

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662\)

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

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

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

Answer:

Step-by-step explanation:

as much as I think I know this I don't I just need the points