$1500 is deposited for a year at 7% annual interest.

1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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The average of the provided numbers is calculated by dividing the total number of values by the sum of all the values that different socioeconomic classes are affected differently by religion membership.

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a collection of data, we add up all the values and divide this sum by the total number of values. a single number (such as a mean, mode, or median) that encapsulates or depicts the overall importance of a collection of disparate data. unkind sense 1b.: a calculation that approximates the arithmetic mean. an intellectual level that is characteristic of a group, class, or series. superior than average.

\(65, 85, 70, 90, 105.\)

Average =

\((65+85+70+90+105)/5\\= 415/5\\= 83\\\)

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Answer:

2y = –3x +19

y = –3x/2 + 19/2

Step-by-step explanation:

x1 = 3, y1 = 5, x2 = 5, y2 = 2

Let's find the slope

slope(m) = y2 – y1 ÷ x2 – x1

m = 2 – 5/ 5–3

m = –3/2

using (3,5)

y – y1 = m( x – x1)

y – 5 = –3/2(x – 3)

y – 5 = –3x/2 + 9/2

multiply both sides by 2

2y – 10 = –3x + 9

2y = –3x + 9 + 10

2y = –3x +19

y = –3x/2 + 19/2

i hoped i helped

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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Answer:

B.

Step-by-step explanation:

The opposite of 5/2 is -5/2 which is -2 1/2 and the opposite of -1/2 is 1/2.

Answer:

true

Step-by-step explanation:

<________________________>

-45              -35                     0

In reference to different sampling methods, systematic sampling includes the steps: divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group: [FALSE]

Systematic sampling is a method of sampling where the sample is selected using a fixed interval, rather than using random sampling. The sampling process begins by selecting a random starting point in the population and then selecting every kth element from the population.

For example, if the population has 100 elements and k=10, every 10th element would be selected for the sample.

Dividing the population into groups, and then using simple random sampling to identify a proportionate number of individuals from each group is a method called stratified sampling.

It is important to note that systematic sampling can be vulnerable to sampling bias if the sampling interval is not chosen carefully and the population is not randomly ordered, because in that case, it will not be a truly random sample.

Hence, the correct answer to this is False.

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Answer:

D

Step-by-step explanation:

I am not sure

Answer:

B

Step-by-step explanation:

given scale is 1 inch represents 7.5 feet

then we require to calculate how many 7.5 feet there are in each dimension.

to obtain this divide each dimension by 7.5, that is

13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )

26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )

then dimensions are approximately 1.73 inches by 3.47 inches

The pieces of information would prove that the polygon trig is a parallelogram is GI || TR (option b).

Now, suppose you have a quadrilateral named TRIG. The question asks which of the given information would prove that TRIG is a parallelogram. Let's examine each option to determine which one satisfies the conditions of a parallelogram.

a) GT || IR: This option tells us that GT is parallel to IR. However, we cannot conclude that TRIG is a parallelogram from this information alone.

b) GI || TR: This option states that GI is parallel to TR. Again, we cannot immediately conclude that TRIG is a parallelogram from this information.

c) GO ≅ OR, TO ≅ OI: This option tells us that GO is congruent to OR and TO is congruent to OI. However, this information alone does not prove that TRIG is a parallelogram.

d) GR ≅ TI: This option states that GR is congruent to TI. Similarly, we cannot conclude that TRIG is a parallelogram from this information.

e) GO ⊥ OI: This option tells us that GO is perpendicular to OI. Unfortunately, this information alone does not prove that TRIG is a parallelogram either.

f) GT ≅ TR: This option states that GT is congruent to TR. However, this information alone does not prove that TRIG is a parallelogram.

The answer is option (b) GI || TR. If GI is parallel to TR, then by definition, TRIG has opposite sides parallel, which means it is a parallelogram.

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Complete Question:

Polygon TRIG is a quadrilateral.

Which of the following pieces of information would prove that TRIG is a parallelogram?

a) GT || IR

b) GI || TR

c) GO ≅ OR, TO ≅ OI

d) GR ≅ TI

e) GO ⊥ OI

f) GT ≅ TR

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer: y+9=-2(x-9)

Step-by-step explanation:

The point-slope equation is \(y-y_{1} =m(x-x_{1} )\). All we have to do is fill in all the values except for y and x.

To find m, you use \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\). Since we are given 2 points, we cna plug them in.

\(\frac{13-(-9)}{-2-9} =\frac{22}{-11} =-2\). Now that we have our slope m, we can fill in the point slope equation.

\(y-(-9)=-2(x-9)\)

\(y+9=-2(x-9)\)

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

Hi there! :)

\(\large\boxed{\text{B. 11 cm.}}\)

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.

Answer:20

Step-by-step explanation:

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

The solution to the system of equations would be if the number of imports and exports are the same. In this case, the solution is January because the number of imports and exports are both 3.

Step-by-step explanation:

I’m smart

Answer:

  \(\dfrac{y}{x}=\dfrac{1}{4}\)

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

  y/x = rise/run = 1/4

The equation of the line is ...

  y/x = 1/4

Answer:

Th answer is C

Step-by-step explanation:

The set of values of k for which the curve y = (k + 1) x² - 3x + (k + 1) lies below the X axis is k > 1/2 and k < -5/2.  

Quadratic functions are polynomial functions of second degree.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given function is y = (k + 1) x² - 3x + (k + 1).

If the curve lies below the X axis, then the curve will not touch the X axis.

This means that, there will be no zeroes for the quadratic function.

So the discriminant will be negative.

Discriminant = \(\sqrt{b^{2}-4ac }\) , for f(x) = ax² + b x + c.

So, for the function given,

Discriminant = \((-3)^{2} -[4*(k+1)*(k+1)]\)

                     = \(9-4(k+1)^{2}\)

                     = 9 - 4(k² + 2k + 1)

                     = 9 - 4k² - 8k - 4

                     = -4k² - 8k + 5

-4k² - 8k + 5 < 0

4k² + 8k -5 > 0

Find the zeroes of 4k² + 8k - 5.

Zeroes are, k = [ -8 ± \(\sqrt{8^2-(4*4*-5)}\) ] / (2 × 4)

                      = [ -8 ± \(\sqrt{144}\) ] / 8

                      = [-8 ± 12] / 8

Zeroes are k = 4/8 = 1/2 and k = -20/8 = -5/2

4k² + 8k -5 = 0 when k = 1/2 and k = -5/2

4k² + 8k -5 > 0, when k > 1/2 and k < -5/2

Hence the values of k are k > 1/2 and k < -5/2 for which the function lies below the X axis.

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The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.

The strength of the field is shown by the distance between the lines; the closer they are to one another, the stronger the field.

In this scenario, the field weakens as we travel away from the charge because the distance between the lines widens (it actually obeys an inverse square law,

The electric field, which is pointed away from the core charge, is indicated by the direction of the lines.

This is due to the fact that a positive test charge would be repelled away from the electric field if it were placed there because the direction of the electric field corresponds to the direction of the force that a positive test charge would experience when immersed in the electric field.

Hence, The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.

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Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Answer:

12.56 cents

14.08 cent

Step-by-step explanation:

The unit price for each of the following items could be obtained thus :

The unit price = price of one item

Therefore, given that x numbers of a certain item cost y ;

The unit price will be : y / x

frozen orange juice

16.0 oz at $2.01

12 oz at $1.69

If 16 oz cost $2.01

1 oz = $2.01 / 16 = $0.125625 * 100 = 12.56 cents

If 12 oz = $1.69

1 oz = $1.69 / 12 = $0.1408333 * 100 = 14.08 cent

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer: 163

Step-by-step explanation:

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

(a) It increases by 8

(b) It stays the same

Explanation:

First, we need to calculate the mean and median of the original data. This data is

335, 393, 425, 453, 489, 542, 556, 563, 623, 661

Then, the mean is the sum of all the values divided by the number of values, so

The median is the value that divides the set into two sets of equal sizes. In this case, these numbers are 489 and 542 because there are 4 numbers before 489 and 4 numbers after 542

335, 393, 425, 453, 489, 542, 556, 563, 623, 661

Then, the median is

Now, we need to calculate the mean and median when 335 is changed to 415. So, the new data set is

393, 415, 425, 453, 489, 542, 556, 563, 623, 661

Then, the mean is

And the median is 515.5 because the numbers in the middle are the 489 and 542

393, 415, 425, 453, 489, 542, 556, 563, 623, 661

Therefore, we can say that:

The mean increased by 8 because 512 - 504 = 8

The median stays the same

So, the answers are

(a) It increases by 8

(b) It stays the same

You're being told to make 5.894 bigger (because the exponent is a positive 6) and to do so by moving the decimal 6 places to the right.  

You're essentaily muliplying 5.894 by 10 a told of six times and time you multiply a number by 10, you move the decimal one place to the right.