tree growth an evergreen nursery usually sells a certain shrub after 6 years of growth and shaping. the growth rate during those 6 years is approximated by where is the time in years and is the height in centimeters. the seedlings are 12 centimeters tall when planted (a) find the height after years. (b) how tall are the shrubs when they are sold?

The evolution of the function call (things '(11 -2 31)) is as follows:

(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().

The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.

Now, let's see the evolution resulting from the call (things '(11 -2 31)):

1. (things '(11 -2 31))

  Since the list is not empty, we move to the next if statement.

  The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(-2 31)).

2. (things '(-2 31))

  Again, the list is not empty.

  The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(31)).

3. (things '(31))

  The list is still not empty.

  The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '()).

4. (things '())

  The list is now empty, so the function returns an empty list.

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Answer:

C = 0.68w + 3.25t

C is total cost

Step-by-step explanation:

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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Answer:

No its not, integers are any number that is whole, without decimals

The approximate volume of the remaining solid is 77.43 cubic inches

The volume of the rectangular prism is given by

V_rectangular_prism = base_area x height

where the base area is the area of a square with side length 4 inches

base_area = 4 x 4 = 16 square inches

So, the volume of the rectangular prism is

V_rectangular_prism = 16 x 6 = 96 cubic inches

The volume of the cylinder is given by

V_cylinder = π x r^2 x h

where r is the radius of the cylinder (1 inch) and h is the height of the rectangular prism (6 inches). So, the volume of the cylinder is

V_cylinder = π x 1^2 x 6 = 6π cubic inches

To find the volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism

V_remaining = V_rectangular_prism - V_cylinder

V_remaining = 96 - 6π ≈ 77.43 cubic inches

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The given question is incomplete, the complete question is:

A solid metal prism has a square base with sides of 4 inches, and a height of 6 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism. What is the approximate volume of the remaining solid, in cubic inches?

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

7

Step-by-step explanation:

Answer:

there is one ree

Step-by-step explanation:

yeet= yeet x ree

ree= 1 yeet

1 yeet= y'ee't = r'ee'

1 'ee' = 1 ree in each yeet

but if you count them all then its 6 ree's

✨meth✨

Answer:

\(y = -\frac{1}{4} + \frac{11}{2}\)

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

\(6 = -\frac{1}{4}(-2) + b\)               multiply \(-\frac{1}{4}\) and 2

\(6 = \frac{1}{2} + b\)                         subtract \(\frac{1}{2}\) from both sides

\(b = \frac{11}{2}\)

now we plug m and b into the equation and leave x and y as variables to get the final equation:

\(y = -\frac{1}{4} + \frac{11}{2}\)

Answer:

\( y-a= c(x-b)^2\)

With the vertex \( V= (b,a)\)

We see that b = -10 and a = 2 and then the vertes wuld be:

\( V= (-10,2)\)

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

\( y-2 = \frac{1}{2} (x+10)\)

And if we compare this expression with the general expression for a parabola given by:

\( y-a= c(x-b)^2\)

With the vertex \( V= (b,a)\)

We see that b = -10 and a = 2 and then the vertes wuld be:

\( V= (-10,2)\)

And the best option is:

b. (-10,2)

Answer:

Amaxesha amnandi ukuba unexesha elimnandi enkosi kuThixo ukuba unexesha elimnandi enkosi kuThixo ngokuba nexesha elimnandi enkosi kuThixo ngokuba nexesha elimnandi bulela uThixo ngokuba nexesha elimnandi

Answer:

En 5 horas se habrá enterado todo el pueblo.

Step-by-step explanation:

Sabemos que en un pueblo 5 personas escucharon una noticia.

Una hora más tarde, cada una de ellas le contó la noticia a otras 5.

Luego, éstas contaron la noticia a otras 5 y así sucesivamente.

Nadie cuenta ni escucha la noticia más de una vez y en ese pueblo hay un poco más de 19000 habitantes.

La ecuación a desarrollar para resolver el problema es la siguiente :

Comenzamos con 5 personas que escucharon la noticia a la ''hora 0''.

Una hora más tarde, cada una de ellas le contó a 5 personas, es decir , pasada la primera hora tendremos :

\(5+5^{2}=30\) (I)

Las 5 personas originales de la ''hora 0'' más 25 personas que se enteraron pasada la primera hora. La ecuación que planteamos es la siguiente :

\(5^{1}+5^{2}+5^{3}+...+5^{x}>19000\) (II)

Buscamos el valor de \(x\) que satisface la ecuación (II).

Probando y realizando las sumas encontramos que :

\(5^{1}+5^{2}+5^{3}+5^{4}+5^{5}+5^{6}>19000\)

\(19530>19000\)

El valor de \(x\) que satisface (II) es \(x=6\).

Para hallar el número de horas nos fijamos que en (I) el valor del mayor exponente del 5 es el número 2. Para ese valor 2, el tiempo que pasó es una hora.

Entonces para nuestro \(x=6\), el número de horas que pasaron son 5 horas (1 menos que el valor de \(x\))

Todo el pueblo se habrá enterado en 5 horas de la noticia.

Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer:

21 to 6 or 21:6

Step-by-step explanation:

This is because soldiers come first then nut crackers

On factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3.

What is factorization by splitting middle term?

The method of Splitting the Middle Term by factorization is where you divide the middle term into two factors. We know that composite numbers can be expressed as the product of prime numbers.

Rule to factorize trinomial expression where coefficients are real numbers, is to split b (the coefficient of x) into two real numbers such that the algebraic sum of these two numbers is b and their product is c, then factorize by grouping method.

According to the given question:

Factorizing 2v² + 4v = 6 by Splitting the Middle Term method

2v² + 4v = 6

2v² + 4v - 6 = 0

2v² + 6v - 2v - 6 = 0

2v(v+3) - 2(v+3) = 0

(2v-2)(v+3) = 0

Therefore the solutions are

2v - 2 = 0                                      v +3 = 0

v = 1                                                   v = -3

Hence on factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3

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In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Using conditional probability, there is a 0.2778 = 27.78% probability that someone who ordered item #345A also ordered item #345B. ​

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

For this problem, the events are:

The parameters are given by:

\(P(A) = 0.18, P(A \cap B) = 0.05\)

Hence the conditional probability is:

P(B|A) = 0.05/0.18 = 0.2778.

0.2778 = 27.78% probability that someone who ordered item #345A also ordered item #345B. ​

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Answer:

6.6 pints of white paint is used to paint the bedroom walls

Step-by-step explanation:

Pints of blue paint used to paint the bedroom walls = 8.8

Ratio of blue paint used = \(\frac{1}{4}\)

Therefore,

Ratio of white paint used = \(1-\frac{1}{4}=\frac{3}{4}\)

Pints of white paint used to paint the bedroom walls = \(\frac{3}{4}(8.8)=3(2.2)=6.6\)

Therefore,

6.6 pints of white paint is used to paint the bedroom walls.

Answer:

LINE D

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope is rise/run and for this case, it is 3/1 which equals 3!!!

In the trash can, there are 648 bricks. when the measurements are 8 by 4 by 2 The right response is so (C).

This same total mass of a three-dimensional shape is referred to as its porous structure. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. The cuboid's length, width, and height can also be labeled, and indeed the surface area (SA) can indeed be calculated using the equation SA=2lw+2lh+2hw.

Based on this equation, surface area is equivalent to two times overall combination of width and length, two times its products of length and height, and two times the ratio of both height and width.

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This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.

The one which is not representing an example of a product's tangible feature is brand equity.

The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.

By exclusively selling C-Ice at health food stores,

The company creates a selective distribution channel that positions the product as a specialized and premium offering.

This limited availability enhances the perception of exclusivity.

And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.

Brand equity is not an example of a product's tangible feature.

Brand equity refers to the intangible value and perception associated with a brand,

Such as its reputation, customer loyalty, and brand recognition.

Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.

Examples of tangible features include packaging, color, weight, and size.

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Answer:

Exact Form:

45/11

Decimal Form:

4.09 repeated

Mixed Number Form:

4 1/11

Step-by-step explanation:

Answer:

The height of the flag pole is approximately 19 feet and 2 inches.

Step-by-step explanation:

Let suppose that length of the shadow of the object is directly proportional to its height. Hence:

\(l \propto h\)

\(l = k\cdot h\)

Where:

\(h\) - Height of the object, measured in inches.

\(l\) - Shadow length of the object, measured in inches.

\(k\) - Proportionality constant, dimensionless.

Now, let is find the value of the proportionality constant: (\(h = 5\,\frac{1}{4} \,ft\) and \(l = 2\,ft\,\,10\,\frac{1}{2}\,in\))

\(h = \frac{21}{4}\,ft\)

\(h = \left(\frac{21}{4}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)\)

\(h = 63\,in\)

\(l = (2\,ft)\cdot \left(12\,\frac{in}{ft} \right) + \frac{21}{2}\,in\)

\(l = 24\,in + \frac{21}{2}\,in\)

\(l = \frac{48}{2}\,in+\frac{21}{2}\,in\)

\(l = \frac{69}{2}\,in\)

Then,

\(k = \frac{l}{h}\)

\(k = \frac{\frac{69}{2}\,in }{63\,in}\)

\(k = \frac{69}{126}\)

\(k = \frac{23}{42}\)

The equation is represented by \(l = \frac{23}{42}\cdot h\). If \(l = 10\,\frac{1}{2}\,ft\), then:

\(l = \frac{21}{2}\,ft\)

\(l = \left(\frac{21}{2}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)\)

\(l = 126\,in\)

The height of the flag pole is: (\(l = 126\,in\), \(k = \frac{23}{42}\))

\(h = \frac{l}{k}\)

\(h = \frac{126\,in}{\frac{23}{42} }\)

\(h = \frac{5292}{23}\,in\)

\(h = 230\,\frac{2}{23}\,in\)

\(h = \frac{115}{6}\,ft\,\frac{2}{23}\,in\)

\(h = 19\,\frac{1}{6}\,ft \,\frac{2}{23}\,in\)

\(h = 19\,ft\,\,2\,\frac{2}{23}\,in\)

\(h = 19\,ft\,\,2\,in\)

The height of the flag pole is approximately 19 feet and 2 inches.

Present value of the amount she will earn while on sabbatical if the interest rate is 6% is $126,964.34

The value of money reduces as time passes, this is due to the interest factor. $1 is worth more today than tomorrow this is because of the time value of money. The present value of cash flows is discounted value of future cash flows. Discount factors at a given rate of interest are used to find out the present value of cash flows.

Here, the professor will receive $70,000 every 7 years for 42 years.

Hence he will receive $70,000 sabbatical in the 7th, 14th,21st,28th,35th, and 42nd years.

We will find the present value of such receipts and add them.

R=0.06

F=$70,000

\(Present~Value = \displaystyle\frac{FV}{(1+r)^7}+\frac{FV}{(1+r)^{14}}+\frac{FV}{(1+r)^{21}}+\frac{FV}{(1+r)^{28}}+\frac{FV}{(1+r)^{35}}+\frac{FV}{(1+r)^{42}}\)

\(Present~Value = \displaystyle\frac{70,000}{(1.06)^7}+\frac{70,000}{(1.06)^{14}}+\frac{70,000}{(1.06)^{21}}+\frac{70,000}{(1.06)^{28}}+\frac{70,000}{(1.06)^{35}}+\frac{70,000}{(1.06)^{42}}\)

=$126,964.34

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The length of the arc is 53.41 cm and the radius is 17 cm and the radius will fit 53.41/17 approximately 3 times

The circumference of a full circle is given by the formula C = 2πr, where r is the radius. Therefore, the circumference of a semicircle is given by C = πr.

In this case, the semicircle has a radius of 17 cm, so its circumference is C = π(17) = 53.4071 cm (rounded to 4 decimal places).

Since the arc of the semicircle measures 53.41 cm, we can calculate how many times the radius will fit around the arc by dividing the arc length by the circumference of the semicircle:

53.41 cm / 53.4071 cm ≈ 1.0001

The length of the arc is 53.41 cm and the radius is 17 cm. Therefore the radius will fit 53.41/17 approximately 3 times

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