Joe had decided to buy stocks of a particularly promising Internet company. The price per share was $100, and Joe subsequently recorded the stock price at the end of each week. With the abscissae measured in days, the following data were acquired: (0,100),(7,98). (14,101), (21,50), (28,51), (35,50). In attempting to analyze what happened, it was desired to approximately evaluate the stock price a few days before the crash.

(a) Pass a linear interpolant through the points with abscissae 7 and 14. Then add to this data set the value at 0 and (separately) the value at 21 to obtain two quadratic interpolants. Evaluate all three interpolants at 12. Which one do you think is the most accurate? Explain.

(b) Plot the two quadratic interpolants above, together with the data (without a broken line passing through the data) over the interval [0,211. What are your observations?

Answer:

2

Step-by-step explanation:

6/9 * 3

First you can either simplify this to make it easier or directly multiply. Simplify it by dividing 3 on the 9.

6/3=2

Or you can multiply and it would be 18/9, because 6*3=18.

18/9=2

Answer: 80 hertz

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Given that Δ DEF and Δ ACB are congruent then corresponding angles are congruent.

ACB and DEF , that is ∠ B and ∠ F are corresponding

Answer: it is -10

Step-by-step explanation: it is negative because since 35 is a bigger number u cannot take 35 out of 25 so it has to go below 0

Answer:

ok?

Step-by-step explanation:

Sure friend what do you need help with? I will help you

Answer:

C

Step-by-step explanation:

Using the addition formula for sine

sin(a - b) = sinacosb - cosasinb , then

sin(θ - 270)

= sinθcos270 - cosθsin270

= sinθ(0) - cosθ(- 1)

= 0 - (- cosθ )

= cosθ → C

The polynomials that are equivalent to 8x² - 22x - 6 are the polynomials that can be simplified to 8x² - 22x - 6.

Equivalent expressions are expressions that can be simplified to the same final result.

The simplified expression for this problem is given as follows:

8x² - 22x - 6.

The other expressions given must all be simplified combining the like terms, and then the ones that have a simplified result of 8x² - 22x - 6 are equivalent.

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The volume of the rectangular prism is 428,544 cubic cm.

To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.

Let's assume the length, width, and height of the prism are L, W, and H, respectively.

Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:

\(L \times W \times H = 248\)

Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:

Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)

Volume of one cube \(= 1728 cm^3\)

Now, we can set up the equation based on the given information:

\(L \times W \times H = 248 \times Volume of one cube\)

\(L \times W \times H = 248 \times 1728 cm^3\)

To find the volume of the rectangular prism, we need to calculate the right side of the equation:

\(248 \times1728 = 428,544 cm^3\)

Therefore, the volume of the rectangular prism is \(428,544 cm^3\).

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Answer:

$66.75

Step-by-step explanation:

You would multiply $89 by .25 to find out what 25% is, then subtract that from $89 to get $66.75

Answer:

$66.75

Step-by-step explanation:

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

According to the given statement the time it will take to fill the pool = 441 hrs.

The "Inlet" pipe is a pipe that is used to fill reservoirs, cisterns, or tanks. The water's volume is increased by the input pipe.

Let x = time it will take to fill the pool

1/21 = work rate of inlet pipe

1/28 = work rate of drain pipe

Using the formula

Volume of flow=work rate *   time

Let us assume complete time of pool to fill = 1

Remaining fraction of pool to be filled = 1 - (1/4)= 3/4

\(\frac{1}{28} x-\frac{1}{21} x=\frac{3}{4}\)

x/28 - x/21 = 3/4

28x - 21x/21*28 =  3/4

28x - 21x = 3 * 21 *  28/4

x = 441

Time it will take to fill the pool = 441 hrs

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The complete question is -

An inlet pipe on a swimming pool can be used to fill the pool in 21 hours. The drain pipe can be used to empty the pool in 28 hours. If the pool is 1/4 filled and than the inlet pipe and drain pipe are opened how long would it take to fill the pool?

Answer:

Look below.

Step-by-step explanation:

For further reference I suggest looking at Khan academy videos of this.

A. log8 5/9

B. log9 4

C. log6 2^3

Answer:

19 Nickels and 5 Pennies.

Step-by-step explanation:

19 * 5 = 95

5 * 1 = 5

95 + 5 = 100 or 1.00.

Hope this helps!

Step-by-step explanation:

1) the suggested function in the condition is hyperbola, that means

\(w_{min}(x)=w_{min}(x_{max}) \ and \ w_{max}(x)=w_{max}(x_{min});\)

2) using this

\(w_{min}(x)=w_{min}(\frac{1}{7} )=7;\)

\(w_{max}(x)=w_{max}(\frac{1}{12})=12.\)

according to the line of best fit, someone should study approximately 10.67 hours to expect a quiz score of 96.

Without knowing the equation of the line of best fit, it's difficult to give an exact answer. However, we can use the line of best fit to estimate the number of hours of study needed to expect a quiz score of 96.

Assuming the line of best fit is a linear regression model, we can use the equation:

y = mx + b

where y is the quiz score, x is the number of hours studied, m is the slope of the line, and b is the y-intercept.

If we know the values of m and b, we can substitute them into the equation and solve for x when y = 96.

So, if the equation of the line of best fit is y = 1.5x + 80, then:

96 = 1.5x + 80

16 = 1.5x

x = 10.67

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Answer:

  6∛3

Step-by-step explanation:

  \(\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}\)

_____

The cubes under each radical can be brought out. Coefficients of like radicals can be combined.

Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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The height that would double the surface area is  15.5 cm.

We know that for the right rectangular prism, we can be able to obtain the surface area of the shape by the use of the formula; A=2(wl+hl+hw)

A = surface area

w = width

h = height

l = length

We have from the question above;

w = 10

l = 3

h = 12

Then the area is;

A = [(10 * 3) + (12 * 3) + (12 * 10)

A = 30 + 36 + 120

A = 186 cm^2

Double the area is 372 cm^2 and the corresponding height is;

372 = [30 + 12h + 10h]

372 = 30 + 22h

h = 372 - 30/22

h = 15.5 cm

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the explicit rule of the nth term of the arithmetic

sequence is A. aₙ = 6n-8

                    B. aₙ = 6n-26

                     C. aₙ= 6n-26

                     D. aₙ =6n-14

the sequence of numbers having constant differences between two successive numbers.

the explicit formula is used for determining any term of an arithmetic sequences directly in where only the first term and differences between two consecutive terms are needed to know.

Given, -20,-14,-8,-2,...are the terms. an explicit rule for the nth term of the arithmetic sequence is given by the formula, aₙ=a₁+(n-1) d

where, a₁ is the first term, aₙ is the nth term, d is the difference between two terms, n is the number of terms.

as per question a₁= -20, d= 6

now A. aₙ = -20+6(n+2)

           aₙ = 6n-8

B. aₙ= -20+6(n-1)

 aₙ = 6n-26

C. aₙ =-20+6(n-1)

   aₙ = 6n-26

D. aₙ= -20+6(n+1)

  aₙ = 6n-14

the above are the explicit rules for the arithmetic sequence.

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The dependent variable in the given research description is sleep quality.

Given variables :1) participants, 2) sleep quality, 3) organic cotton shirts and organic linen shirts, 4) different clothing materials.

We have to identify the dependent variable among all the variables.

Dependent variable is a variable whose quantity depends on other variables.

Independent variable is a variable whose value does not depend on other variables.

In the given research there are four variables:

1) participants,

2) sleep quality,

3) organic cotton shirts and organic linen shirts,

4) different clothing materials.

Among all these sleep quality is a dependent variable because it depends on the quality of clothes whether they or organic shirts or organic linen shirts.

It may be possible that some people get quality sleep in organic cotton shirts and some may get in organic linen shirts.

Hence the dependent variable is sleep quality.

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Answer:

b. 98

Step-by-step explanation:

brainliest pls

Answer:

d

Step-by-step explanation:

srry im doing a thing

where i have to do 30 Q to get $300

Answer:

6x+8 is ur answer

Answer:

Step-by-step explanation:

A. StartFraction 75 times 1 Over 200 times 1 EndFraction = StartFraction 75 Over 200 EndFraction

B. StartFraction 100 times 26.7 Over 75 times 2.67 EndFraction = StartFraction 267 Over 200.25 EndFraction

100*26.7 / 75*2.67 = 267/200.25, INCORRECT, 75% of the number can't be greater than number itself (267 > 200)

C. StartFraction 200 times 2 Over 100 times 2 EndFraction = StartFraction 400 Over 200 EndFraction

D. StartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction

Answer:

25

Step-by-step explanation:

Since each of the six possible outcomes is equally likely, you can expect to get each of the outcomes 150/6 = 25 times.

if this is wrong, let me know so I can fix it

hope this helps:)

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

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If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6\(C_2\) = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

34

Step-by-step explanation:

hope this helps :)

Answer:

34

Step-by-step explanation:

First, plug in numbers and then solve...

Step-by-step explanation:

This is kinda like the Pythagorean Theorem with THREE dimensions instead of two

diagonal^2 = 3^2 + 4^2  +  2^2

diagonal = sqrt ( 29) = 5.39 ft