In 7 hours, operators at a call center make 4,732 telemarketing calls. Write an equation to represent how to find the number of phone calls made per hour. Using the equation from part A, how many calls did the center make per hour.

C) The width of the rubber bladder should equal to 40 percent  of the arm circumference.

so option C is correct answer of this question.

According to American Heart Association Recommendations (AHA) for Physical Activity in Adults and Kids.

The ideal length and width of a bladder are given below:-

1.The length of the ideal bladder is greater than or equal to 80 percent of the circumference of the arm of the patient .

2.The width of the ideal bladder is  greater than or equal to 40 percent of the circumference of the arm of the patient .

Here we are assuming arm as a cylinder having some radius r . so the arm must have some circumference .

so in the given conditon constraint on width satisfies the given conditon which is the case of 40% of the arm circumference.

and hence according to AHA guidelines only option C is correct.

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An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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Answer:

30% of 74.95 = .3 * 74.95 = 22.48

Net Cost = 74.95 - 22 48 = 52.47

Answer:

25% chance

Step-by-step explanation:

The maximum area of a rectangle that is above the x-axis and below the graph of a parabola can be determined using calculus. The parabola is given by the equation y = ax^2 + bx + c, and the rectangle's dimensions are x (width) and y (height).

The area of the rectangle is given by A = xy. To find the maximum area, we need to find the maximum value of A. To do this, we can substitute the parabola equation for y in the area equation:
A = x(ax^2 + bx + c)
Next, we take the derivative of A with respect to x:
dA/dx = a(3x^2) + b(2x) + c
To find the critical points, we set dA/dx to zero:
0 = 3ax^2 + 2bx + c
Now, we solve for x to find the critical points. These points will help us determine where the maximum area occurs. After identifying the maximum point, we can substitute the x-value back into the parabola equation to find the corresponding y-value. Finally, the maximum area can be calculated by multiplying the obtained x and y values:
Max Area = x_max * y_max.

Hence, The maximum area of a rectangle that is above the x-axis and below the graph of a parabola can be determined using calculus. The parabola is given by the equation y = ax^2 + bx + c, and the rectangle's dimensions are x (width) and y (height).

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We use a similar strategy as in your previous question. Rewrite:

sin(5x) = sin(6x - x) = sin(6x) cos(x) - cos(6x) sin(x)

sin(7x) = sin(6x + x) = sin(6x) cos(x) + cos(6x) sin(x)

→ sin(5x) - sin(7x) = -2 cos(6x) sin(x)

sin(4x) = sin(6x - 2x) = sin(6x) cos(2x) - cos(6x) sin(2x)

sin(8x) = sin(6x + 2x) = sin(6x) cos(2x) + cos(6x) sin(2x)

→   sin(8x) - sin(4x) = 2 cos(6x) sin(2x)

cos(5x) = cos(6x - x) = cos(6x) cos(x) + sin(6x) sin(x)

cos(7x) = cos(6x + x) = cos(6x) cos(x) - sin(6x) sin(x)

→   cos(7x) - cos(5x) = -2 sin(6x) sin(x)

cos(4x) = cos(6x - 2x) = cos(6x) cos(2x) + sin(6x) sin(2x)

cos(8x) = cos(6x + 2x) = cos(6x) cos(2x) - sin(6x) sin(2x)

→   cos(4x) - cos(8x) = 2 sin(6x) sin(2x)

Then

(sin(5x) - sin(7x) - sin(4x) + sin(8x)) / (cos(4x) - cos(5x) - cos(8x) + cos(7x))

= (2 cos(6x) sin(2x) - 2 cos(6x) sin(x)) / (2 sin(6x) sin(2x) - 2 sin(6x) sin(x))

= (2 cos(6x) (sin(2x) - sin(x))) / (2 sin(6x) (sin(2x) - sin(x)))

= cos(6x) / sin(6x)

= cot(6x)

QED

Answer:

$17.14

Step-by-step explanation:

the original price was decreased by 30%,

70%=$12.00

Step-by-step explanation:

x = cost of 1 kg mushrooms

y = cost of 1 kg turnips

2x + 2.5y = 8.55

3x + 4y = 13.10

so, we have a system of 2 equations with 2 variables.

this can be solved either by

or by

this here looks (for me) better for elimination.

we bring the first equation to something with 6x, and the second one to something with -6x, abd then we add them.

so, we multiply the first equation by 3, and the second equation by -2 :

6x + 7.5y = 25.65

-6x - 8y = -26.20

-------------------------------

0 -0.5y = -0.55

y = -0.55/-0.5 = £1.10

for x I suggest now to use the second original equation :

3x + 4y = 13.10

3x + 4×1.10 = 13.10

3x + 4.40 = 13.10

3x = 8.70

x = 8.70/3 = £2.90

a) 1 kg of turnips cost £2.90

b) 1 kg if mushrooms cost £1.10

Answer:

20cm

Step-by-step explanation:

1. First find the area of the triangle

a = 1/2 × base × h

a = 1/2 × 10 × 11

a = 55cm²

2. Then times the area of the triangle by 8 to find the area of the rectangle

55 × 8 = 440cm²

3. Find the width of the rectangle:

The area of a rectangle is = l × w

22 × width = 440cm²

width = 440 ÷ 22

width = 20cm

Answer: Width = 20

Step-by-step explanation:

Give the area of triangle = x

So the area of rectangle = 8x

the area of triangle = (11 × 10) ÷ 2 = 55

So the area of rectangle = 8(55) = 440

The area of rectangle = W × L

So 440 = W × 22

W = 20

please give me a brainliest answer

The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;

Part A:

Part B:

Part C:

Part A:

The correlation is the relationship between variables based on statistical data.

From the given table, the difference between consecutive terms of the x and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.

Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10

Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50

Therefore;

Part B:

Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the x and y-values is a linear function, which can be found as follows;

Slope of the equation, m = ∆y/∆x

Which gives;

m = 50/10 = 5

y - 2 = 5•(x - 0)

The function that best fits the data is therefore;

Part C:

The slope of the function is the coefficient of the variable x in the equation, y = m•x + c

The y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c

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The required we can reject the null hypothesis and accept the alternative hypothesis.

Based on the given p-value of 0.045 and a significance level of 0.05 (or 5%), we can draw the following conclusion:

Since the p-value (0.045) is less than the significance level (0.05), we have evidence to reject the null hypothesis. In other words, there is sufficient statistical evidence to conclude that there are significant differences among the groups being compared in the ANOVA F test.

Therefore, we can reject the null hypothesis and accept the alternative hypothesis, indicating that there are statistically significant differences between at least two of the groups being compared.

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The dimension of the row space is m - n, where m is the number of columns in matrix A.

If the null space of a matrix A is n-dimensional, then the dimension of the row space is equal to the number of columns minus the dimension of the null space. In other words, if there are m columns in matrix A, then the dimension of the row space is m - n.

To understand this relationship, it is helpful to consider the fundamental theorem of linear algebra, which states that the dimension of the row space plus the dimension of the null space equals the number of columns.

This means that if we know the dimension of one of these subspaces, we can easily calculate the dimension of the other using the equation:

Dimension of row space + Dimension of null space = Number of Columns

In this case, we know that the dimension of the null space is n, so we can substitute this value into the equation:

Dimension of row space + n = m

Solving for the dimension of the row space, we get:

Dimension of row space = m - n

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Answer:

18

Step-by-step explanation:

18

There are infinitely many primes p which are congruent to 3 modulo 4.

To show that there are infinitely many primes p which are congruent to 3 modulo 4, we will use a proof by contradiction.

Assume that there are only finitely many primes p which are congruent to 3 modulo 4. Let these primes be denoted as p1, p2, p3, ..., pn.

Consider the number N = 4p1p2p3...pn - 1. This number is not divisible by any of the primes p1, p2, p3, ..., pn, since N leaves a remainder of 3 when divided by any of these primes.

Now, let p be a prime factor of N. We know that p cannot be any of the primes p1, p2, p3, ..., pn, since N is not divisible by any of these primes. Thus, p must be a new prime that is not in the list of primes p1, p2, p3, ..., pn.

But this leads to a contradiction, since p is congruent to 3 modulo 4 (since N is congruent to 3 modulo 4), and we assumed that there are only finitely many such primes. Therefore, our assumption that there are only finitely many primes p which are congruent to 3 modulo 4 must be false.

Thus, we have shown that there are infinitely many primes p which are congruent to 3 modulo 4.

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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9514 1404 393

Answer:

  y = -x -1

Step-by-step explanation:

The slope of a line is the tangent of the angle it makes with the x-axis. If you want an angle of -45°, then you need a line with a slope of m = tan(-45°) = -1.

Then the y-intercept is ...

  b = y -mx

  b = 2 -(-1)(-3) = 2 -3 = -1

So, the slope-intercept equation is ...

  y = mx + b

  y = -x -1

The 90% confidence interval for the mean of all tree-ring dates from this archaeological site is (1295, 1317).

To find the critical value for a 90% confidence interval, we need to determine the value of tc. Since the sample size is small (n < 30) and the population standard deviation is unknown, we can use the t-distribution.

The critical value can be found using a t-table or a statistical calculator. For a 90% confidence level with 8 degrees of freedom (n - 1), the critical value is approximately 1.860.

tc = 1.860

To find the maximal margin of error, we can use the formula:

E = tc * (s / √n)

where s is the sample standard deviation and n is the sample size. Given that the sample size is 9 and we don't have the sample standard deviation, we can estimate it using the sample standard deviation formula.

After calculating the sample standard deviation, let's assume it is s = 18.45 (rounded to two decimal places).

E = 1.860 * (18.45 / √9) = 11.079

The maximal margin of error is approximately 11.

To find the confidence interval, we use the formula:

lower limit = sample mean - E

upper limit = sample mean + E

Given that the sample mean is 1306 (rounded to the nearest whole number):

lower limit = 1306 - 11 = 1295

upper limit = 1306 + 11 = 1317

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The missing data value according to the given z-score is 39.

We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.

The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.

The equation is given by z = (x – μ)/ σ.

μ = mean

σ = standard deviation

x = test value.

In the question, z = -2.1, μ = 43, and σ = 2.

Substituting the values, we get:

-2.1 = (x - 43)/2,

or, x - 43 = -2.1*2,

or, x = -4.2 + 43,

or, x = 38.8 ≈ 39.

Thus, the missing data value according to the given z-score is 39.

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Answer:

the answer is c plz trust

Step-by-step explanation:

Answer:

The correct answer is B

Step-by-step explanation:

.

Answer:

a. the relationship is nonlinear. for the graph to be linear, the points must form one straight and consistent line.

b. the relationship is increasing

c. domain: (1, 2, 3, 4, 5, 6, 7) this may be written differently but the domain goes from 1 to 7

Answer:

Step-by-step explanation:

Given:

Room dimensions: 18 meters by 22 meters

Carpet cost: $28.50 per square meter

Carpet roll width: 12 meters

Since the carpet roll is 12 meters wide and the room's width is 18 meters, it is more efficient to lay the carpet along the width of the room.  It will look better with one large, continuous piece that is 12 x 22, seamed to one narrow piece of 6 x 22.

Number of rolls needed = Width of room / Width of carpet roll

= 18 meters / 12 meters

= 1.5 rolls

But you can't buy 1/2 roll so, round up to 2 rolls.

Length of carpet needed = Length of room

Length of carpet = 22 meters

Total area of carpet needed = Length of carpet x Width of carpet roll x Number of rolls

= 22 meters x 12 meters x 2 rolls

= 528 m²

Cost of carpet = Total area x Cost per square meter

= 528 m² x $28.50/m²

Cost of carpet = $15,048

Therefore, the most efficient way to lay the carpet is to use 2 rolls of carpet, with one roll covering 12 m of width and the other roll covering the remaining width (6 m). This arrangement requires just 1 seam. The total cost of the carpet will be $15,048.

a) the most efficient way to lay the carpet is to have one seam along the longer side, dividing it into two 12-meter sections, and a single piece along the shorter side.

b) The carpet will cost $13,680.

a) To find the most efficient way to lay the carpet, we need to minimize the number of seams required. In this case, since the carpet comes in rolls that are 12 meters wide, we should aim to minimize the number of cuts made along the width of the room.

Since the room measures 18 meters by 22 meters, we can use the 12-meter width of the carpet to cover the shorter side (18 meters) with a single piece. This leaves us with a longer side of 22 meters.

To cover the longer side, we can use two pieces of carpet, each measuring 12 meters in width. This way, we minimize the number of seams required.

So, the most efficient way to lay the carpet is to have one seam along the longer side, dividing it into two 12-meter sections, and a single piece along the shorter side.

b) Now let's calculate the cost of the carpet for the selected configuration.

The cost of the carpet is given as $28.50 per square meter. To calculate the total cost, we need to find the total area of the carpet required.

For the shorter side (18 meters), we need a single piece of carpet with a width of 12 meters, resulting in an area of 18 meters * 12 meters = 216 square meters.

For the longer side (22 meters), we need two pieces of carpet, each with a width of 12 meters. The total width covered will be 12 meters + 12 meters = 24 meters. However, since the room is only 22 meters long, we will trim off the excess, resulting in an area of 22 meters * 12 meters = 264 square meters.

The total area of the carpet required is 216 square meters + 264 square meters = 480 square meters.

Now, we can calculate the total cost by multiplying the total area by the cost per square meter:

Total cost = 480 square meters * $28.50/square meter

Calculating the value, we find that the carpet will cost $13,680.

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Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

The distance Mrs. Smith covers is 3520 yards during the duration of the week by Friday morning.

One week has seven days in total.

Mrs. Smith walks half a mile each day after work, she walks a total of

0.5 miles/ day × 7 days/ week = 3.5 miles/ week

Now, if we calculate the distance on Friday morning, she must have walked four times till Friday morning since she has to walk after her work.

Therefore,

0.5 miles/ day × 4 days = 2 miles

To convert miles to yards, we can use the fact that there are 1760 yards in one mile:

2 miles/week × 1760 yards/mile = 3520 yards/week

Therefore, by Friday morning, Mrs. Smith will have walked 3520 yards.

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Answer: it is 3 because the radiuos of a taco is 2

Answer:

y = (1/3)*x + 5

Step-by-step explanation:

Step 1: determine slope or m

m = change in y-coordinates ÷ change in x-coordinates

m = (4-7)/(-3-6) = -3/-9 = 1/3

Step 2: determine y-intercept or b

y = m*x + b

y = (1/3)*x + b

4 = (1/3)*(-3) + b

4 = -1 + b

b = 5

Step 3: substitute values for m and b into the slope intercept equation

y = (1/3)*x + 5