a. If the store orders 96 boxes of socks
one week, how many cases of shoes
would it order?

(i) \($r(t)=3.47 \cos \left(\frac{\pi t}{12}\right)+0.046$\)

\(at $10.00 \mathrm{am}, \\\Rightarrow t=4$\)

\($\gamma(4)=3.47 \cos \frac{\pi}{3}+0.046$\)

\($=1.781 \mathrm{deg} / \mathrm{hr}$\)

\((ii) $\frac{d T}{d t}=r(t)$\\$\therefore T=\int r(t) d t$\)

\($=\frac{3.47 \times 12}{\pi} \sin \frac{\pi t}{12}+0.046 t+c$\)

\(T(0)=39.8$\\$\Rightarrow 39.8=C$\)

\($\therefore T(t)=$\) temperature

\($=13.254 \sin \left(\frac{\pi t}{12}\right)+0.046 t+39.8$\)

\(T(0)=39.8$\\$T(7)=59.924$\)

\($\begin{aligned} \therefore \Delta T &=T(7)-T(0) \\&=13.12479 \end{aligned}$\)

\((iii) $T(1.00 \mathrm{pm})$$$\\=T(T)=59.924^{\circ} \mathrm{C}$$\)

\((iv)\begin{aligned}T(120+10) &=T(130) \\&=52.407^{\circ} \mathrm{C}\end{aligned}\)

What is temperature ?

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Step-by-step explanation:

\(an = a1 + (n - 1)d \\ d = a2 - a1 \\ a1 = 5 \\ a2 = 10 \\ d = 5 \\ an = 5 + (n - 1)5 \\ an = 5n \\ a77 = 5 \times 77 = 385\)

For B

\(a1 = 17 \\ a2 = 14 \\ d = 14 - 17 = - 3 \\ an = 17 + (n - 1) \times - 3 \\ an = 17 - 3n + 3 \\ an = 20 - 3n \\ a77 = 20 - 3 \times 77 \\ a77 = - 211\)

Using translation concepts, the equation of F(x) is:

A. \(F(x) = \frac{1}{3}x^4 - 2\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

\(G(x) = x^4\)

For function F(x), we have that:

Then the equation is:

A. \(F(x) = \frac{1}{3}x^4 - 2\)

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Answer: Well you have to see on the number that is close to the decimal point

Step-by-step explanation:

0.2438

0.4485

0.8641

3.2527

17.9926

Answer:

x= 31/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

a= -3x-i

b= 3

\(b^{2}\)=9

sooo..  a\(b^{2}\) = (-3x-i )(9)

-27x -9i  

Caveat :     :/  if the i happens to be part of a complex number and the squared part is for the quantity (AB)^2  then it would change this answer ..but... I can't tell if that problem is about complex numbers or not, i'm guessing it's not

Answer:

don't know

Step-by-step explanation:

The mean of this sampling distribution is 70.9, which is less than the value of the population median of  73, therefore, the sample median is a biased estimator of the population median.

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

A statistic used to estimate a parameter is an unbiased estimator if the mean of its sampling distribution is equal to the value of the parameter being estimated.

We obtained the following data from part (a) of this problem,

Sample 1: 64, 65, 73, and median is 65.

Sample 2: 64, 65, 74, and median is 65.

Sample 3: 64, 65, 76, and median is 65.

Sample 4: 64, 73, 74, and median is 73.

Sample 5: 64, 73, 76, and median is 73.

Sample 6: 64, 74, 76, and median is 74.

Sample 7: 65, 73, 74, and median is 73.

Sample 8: 65, 73, 76, and median is 73.

Sample 9: 65, 74, 76, and median is 74.

Sample 10: 73, 74, 76, and median is 74.

Let us calculate the mean of this sampling distribution,

μ(median) = ( 65+65+65+73+73+73+73+74+74+74)/10

μ(median) = 709/10

μ(median) = 70.9

The mean of the sampling distribution is found to be equal to 70.9.

(b) 70.9, which is less than the value of the population median of

73, therefore, the sample median is a biased estimator of the population median.

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|x-3|+|x+2|-|x-5| can be broken down into three separate cases based on the value of x:

(x-3) + (x+2) - (x-5) = 2x + 4

(x-3) + (x+2) - (5-x) = 2x - 6

-(x-3) - (x+2) - (5-x) = -3x - 4

We break down the expression into three separate cases based on the value of x. This is because the absolute value function creates "turning points" at which the behavior of the expression changes. We analyze the expression for each case and simplify it to obtain the final answer. The answer depends on the value of x, and we must consider the expression separately for each case.

If x ≥ 5, then the expression becomes:

(x-3) + (x+2) - (x-5) = 2x + 4

If -2 ≤ x < 3, then the expression becomes:

(x-3) + (x+2) - (5-x) = 2x - 6

If x < -2, then the expression becomes:

-(x-3) - (x+2) - (5-x) = -3x - 4

Therefore, the final answer depends on the value of x. If x is greater than or equal to 5, then the answer is 2x + 4. If x is between -2 and 3, then the answer is 2x - 6. And if x is less than -2, then the answer is -3x - 4.

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Answer:

x

−

4

=

−

8

=

Step-by-step explanation:

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

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The probability that there are 3 people between x and y is 1/659470.

The total number of ways in which x and y can stand in a line with 10 other people is (12C2) = 66.

To find the number of ways in which there are exactly 3 people between x and y, we can treat x and y as a single entity and arrange them along with the 10 other people in 8 available spots in the line. This can be done in (8C1) = 8 ways.

Within this arrangement, there are 3 spots where x and y can be placed with 3 people between them,

Once x and y have been placed in one of these 3 spots, the remaining people can be arranged in the remaining spots in

10!/(10-8)! = 1814400 ways.

So the number of ways in which there are exactly 3 people between x and y is,

8 * 3 * 1814400 = 43545600.

Therefore, the probability that there are 3 people between x and y is,

43545600/66 = 659469.69 (rounded to 2 decimal places)

So, the probability is approximately 1 in 659470 or 1/659470.

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Answer:

b) 6/7

c) 14

Step-by-step explanation:

b) Scale Factor = Red/(Red+Blue) = 8/(8+6) = 8/14 = 6/7.

c) x =  8+6 = 14.

EXTRA TIP: If you aren't sure, think about wheter these triangles are isosceles(from the diagram). Hope this helps!

Answer:

first one

Step-by-step explanation:

An equation which Lupe should use include the following: k = 2p/x².

In this exercise, you are required to make "k" the subject of formula in the given mathematical expression by using the following steps.

p = 1/2kx²

By multiplying both sides of the mathematical expression by 2, we have the following:

2p = kx²

By dividing both sides of the mathematical expression by x², we have the following:

k = 2p/x²

In conclusion, we can reasonably infer and logically deduce that the spring constant can be calculated by using k = 2p/x².

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Answer:

convert 10 hours 30 minutes to hours= 10.5

683/10.5

=65.04km/h

Answer:

This is downright confusing. We need more material or more descriptive text to give an answer.

Step-by-step explanation:

Five-number summary for this data set is,

min = 12, Q1 =14,  median = 15 , Q3 = 18, max = 19 .

What is median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Consider the given data set, {12, 14, 15, 14, 16, 18, 19, 18}.

The five-number summary for this data set consists  of  min, Q1, median, Q3, and max.

First to arrange the data set in ascending order,

{12, 14, 14, 15, 16, 18, 18, 19).

Maximum value = 19, minimum value = 12

The total observations are 8.

So , Median = Mean of middle most terms

Middle most terms are 14, 16

Median = (14 + 16) / 2 = 30 / 2 = 15

Now to find first quartile (Q1) = Median of first half {12, 14, 14, 15}

Q1 = (14 + 14) / 2 = 28 / 2 = 14

Now to find third quartile (Q3) = Median of second half {16, 18, 18, 19}

Q3 = (18 + 18) / 2 = 36 / 2 = 18

Therefore, five-number summary for this data set is,

min = 12, Q1 =14,  median = 15 , Q3 = 18, max = 19 .

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(a) Position at t = 1 s: 0.32 meters (b) Position at t = 2 s: -0.06 meters (c) Position at t = 3 s: 1.16 meters (d) Position at t = 4 s: 16.28 meters (e) Displacement between t = 0 and t = 4 s: 16.34 meters (f) Average velocity from t = 2 s to t = 4 s: 8.17 meters per second

To find the position of the object at different values of t, we substitute the given values of t into the equation \(x = 3.27t - 4.00t^2 + 1.05t^3.\)

(a) When t = 1 s:

\(x = 3.27(1) - 4.00(1)^2 + 1.05(1)^3\)

x = 3.27 - 4.00 + 1.05

x = 0.32 meters

(b) When t = 2 s:

\(x = 3.27(2) - 4.00(2)^2 + 1.05(2)^3\)

x = 6.54 - 4.00(4) + 1.05(8)

x = 6.54 - 16.00 + 8.40

x = -0.06 meters

(c) When t = 3 s:

\(x = 3.27(3) - 4.00(3)^2 + 1.05(3)^3\)

x = 9.81 - 4.00(9) + 1.05(27)

x = 9.81 - 36.00 + 28.35

x = 1.16 meters

(d) When t = 4 s:

\(x = 3.27(4) - 4.00(4)^2 + 1.05(4)^3\)

x = 13.08 - 4.00(16) + 1.05(64)

x = 13.08 - 64.00 + 67.20

x = 16.28 meters

(e) The object's displacement between t = 0 and t = 4 s can be found by subtracting the initial position (t = 0) from the final position (t = 4 s):

Displacement = x_final - x_initial

Displacement = x(4) - x(0)

Displacement = 16.28 - 0

Displacement = 16.28 meters

(f) The average velocity from t = 2 s to t = 4 s can be found by calculating the change in position and dividing it by the change in time:

Average Velocity = (x_final - x_initial) / (t_final - t_initial)

Average Velocity = (x(4) - x(2)) / (4 - 2)

Average Velocity = (16.28 - (-0.06)) / 2

Average Velocity = 16.34 / 2

Average Velocity = 8.17 meters per second

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The area of the triangle is 7.5 square units.

To sketch the triangle with vertices O, P, and Q, we can plot them on a 3D coordinate system:

        y

        |

        |

        |

        |

        Q(6,0,3)

        |\

        | \

        |  \

        |   \

        P(3,3,0)

        |    \

        |     \

        |      \

        |       \

        O-------P(3,3,0) x

To compute the area of the triangle using cross products, we first find the vectors OP and OQ:

OP = <3-0, 3-0, 0-0> = <3, 3, 0>

OQ = <6-0, 0-0, 3-0> = <6, 0, 3>

Then we take the cross product of OP and OQ to get a vector that is perpendicular to both:

OP x OQ = <3, 3, 0> x <6, 0, 3>

       = <9, 9, -18>

The magnitude of this vector is equal to the area of the parallelogram formed by OP and OQ. Since we want the area of the triangle, we divide by 2:

Area = (1/2) ||OP x OQ||

    = (1/2) ||<9, 9, -18>||

    = (1/2) \((\sqrt(9^2 + 9^2 + (-18)^2))\)

    = (1/2) \((\sqrt(450))\)

    = 7.5

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1)

a) 1/20

b) 19/20

c) 12/20

d) not sure

e) 8/20

2)

a) 3/6

b) 2/6

c) not sure

d) 3/6

Please mark brainlist took 5 minutes to do

The function f(x) = 3x^4 + 4x^3 - 12x^2 has the critical numbers 0, -2, and 1. It is increasing on the intervals (-∞, -2) and (0, 1), and decreasing on the interval (-2, 0) and (1, +∞). The absolute extrema of the function occur at x = 1, where f(x) has an absolute maximum, and at x = -2, where f(x) has an absolute minimum.

To determine the intervals where the function f(x) is increasing or decreasing, we need to analyze the sign of its derivative. Taking the derivative of f(x), we obtain f'(x) = 12x^3 + 12x^2 - 24x. Setting this derivative equal to zero, we find the critical numbers of the function: 0, -2, and 1.

To determine where f(x) is increasing or decreasing, we examine the intervals between these critical numbers. When x < -2, f'(x) < 0, indicating that f(x) is decreasing. When -2 < x < 0, f'(x) > 0, meaning f(x) is increasing. For 0 < x < 1, f'(x) > 0 again, so f(x) is increasing. Lastly, when x > 1, f'(x) < 0, indicating that f(x) is decreasing.

Regarding the absolute extrema, we evaluate f(x) at the critical numbers and endpoints of the intervals. At x = -2, f(x) has an absolute minimum since it is the lowest point in the function. At x = 1, f(x) has an absolute maximum as it is the highest point. Thus, the absolute extrema of the function occur at x = -2 and x = 1.

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To find the vertical asymptotes of a rational function, we need to set the denominator equal to zero and solve for x.

To find the vertical asymptotes of a rational function, you need to determine the values of x that make the denominator of the function equal to zero.

Let's check the limit of our example function as x approaches each of the vertical asymptotes:

As x approaches 1 from the left side: f(x) approaches negative infinity

As x approaches 1 from the right side: f(x) approaches positive infinity

Therefore, x = 1 is a valid vertical asymptote.

As x approaches 3 from the left side: f(x) approaches positive infinity

As x approaches 3 from the right side: f(x) approaches negative infinity

Therefore, x = 3 is also a valid vertical asymptote.

The values of x that make the denominator zero are the vertical asymptotes of the function.

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Answer: the area is 80

Step-by-step explanation:

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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prime between number of 1234 to 1352​ are 1237, 1249,  1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327

Answer: 40.25

Step-by-step explanation:

First what you need to do is multiply 25 and 1.25 because the problem said PER which Is multiplication then you add the $9.00 which is in total $40.25 Hope this helped!

Answer 40.25

Step-by-step explanation:

9.00 250

The interest estimated by compounding methods are-

(a) Annual: n = 1; CI = $860

(b) Semiannual: n = 2; CI = $862.

(c) Monthly: n = 12; CI = $865

(d) Daily: n = 365; CI = $855

The formula for computing the compound interest is -

CI = A - P

A = P(1 + r/100nt)∧rt

In which,

(a) Annual: n = 1

A = 10,400(1 + 8/500)∧5

A = 10,400 x 1.08

A = 11,260

CI = 11,260 - 10,400

CI = $860

(b) Semiannual: n = 2

A = 10,400(1 + 8/1000)∧10

A = 10,400 x 1.089

A = 11,262

CI = $862.

(c) Monthly: n = 12

A = 10,400(1 + 8/6000)∧60

A = 10,400 x 1.083

A = 11,265

CI = $865

(d) Daily: n = 365

A = 10,400(1 + 8/182500)∧1825

A = 10,400 x 1.0832

A = 11,255

CI = $855

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