Let F(s)=5s2+4s+4 F ( s ) = 5 s 2 + 4 s + 4 . Find a value of d d greater than 0 0 such that the average rate of change of F(s) F ( s ) from 0 0 to d d equals the instantaneous rate of change of F(s) F ( s ) at s=1. s = 1.

The SI unit of length is meter and it defines the length between two end points.

The term length in math is defined as the measurement or extent of something from end to end.

Here we need to find the SI unit of length.

As we all know that the SI unit of length is The meter ad the symbol m and it is defined by taking the fixed numerical value of the speed of light in vacuum c to be 299 792 458 when expressed in the unit m s⁻¹ where the second is defined in terms of ΔνCs.

Here the value of length is required to be measured ad it can convert a meter into various units like milliliters (mm), kilometer (km), centimeter (cm).

Complete Question:

What is the SI unit of length and elaborate the details about it.

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Check the picture below.

now, if we just add that shaded part of (x-24)° to the 61°, we'll end up with the whole AED angle or 88°.

[tex](x-24)~~ + ~~61~~ = ~~88\implies x+37=88\implies x=51[/tex]

The number that gives a result of −4 when 8 is subtracted from the quotient of the number and 4 is: 16.

The quotient of two numbers is the result obtained when one number is divided by the other. It is the number of times one number can be divided into the other. For example, if you divide 20 by 4, the quotient is 5, meaning that 4 can be divided into 20 five times. It is represented mathematically as: quotient = numerator/denominator.

Let x represent the number. Therefore, you can find this number by solving the equation:

(x/4) - 8 = -4

(x/4) = -4 + 8

x/4 = 4

x = 4 * 4 = 16

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The optimal solution is: x = 8, y = 10

And the maximum profit will be 40x + 35y = $440.

A linear equation is defined as an equation in which the highest power of the variable is always one.

a. Formulating this problem as a Linear Programming Problem (LPP):

Let x be the number of units of product A produced, and y be the number of units of product B produced.

The objective function is to maximize the total profit:

Maximize z = 40x + 35y

Subject to the following constraints:

The availability of raw material: 2x + 3y ≤ 60 (kg)

The availability of labor hours: 4x + 3y ≤ 96 (hrs)

The availability of packaging hours: 4x + 3.5y ≤ 105 (hrs)

Non-negativity constraints: x ≥ 0, y ≥ 0

b. To find the optimal solution, we can use a graphical method or simplex method.

We can use the simplex algorithm to find the optimal solution by iteratively moving from one feasible solution to another until we reach the optimal solution.

The optimal solution is: x = 8, y = 10

And the maximum profit will be 40x + 35y = $440.

Note: The values and solution are obtained by solving the LPP problem and the availability of resources, hence the solution might be different for different values.

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Answer:

182859444

Step-by-step explanation:

You just have to times them together

Answer:

13,093 years

Step-by-step explanation:

N = N0 e -kt . Here, N = 27 % of N0  = 27/100(N0 ) , k = 0.0001, then 27/100N0 = N0 e-0.001t .

Therefore, 0.27 = e-0.001t .On taking natural logarithms of both the sides, we get - 0.001t ln e = ln 0.27 ( log ab = b log a), or,  - 0.001t = -1.30933332 ( as ln e = 1).

Therefore, t = 1.30933332/ 0.0001 = 13093.33 years = 13093 years on rounding off to the nearest year.

The distance between Morgan's house and the park is 7 miles.

We know that the Morgan's house, the park, the snach shack, and the high school are on the same street.

We know that the distance between Morgan's house and the school is 10 miles.

The distance between the park and the high school is 2.55mi, the the distance between Morgan's house and the park is:

10 mi - 2.55mi = 7.45mi

And the snack shack is at 3.45 miles from the park, then we will get that the distance between Morgan's house and the snack shack is:

7.45mi - 3.45mi = 4mi

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After translation of the graph 4 unit right and 1 unit down the graph of the function h(x) = (x +4)² -1

The translation is defined as the displacement of the geometrical shape as per the given condition in the coordinate plane.

According to the question, The graph of h is a translation of 4 units right and 1 unit down of the graph of f(x) = x^2.

Given function,

f(x) = x^2.

As per the given condition,

Graph of h is a translation of 4 units right and 1 unit down of the graph of f(x).

x translated by 4 unit right = (x +4)²

f(x) translated 1 unit  down = f(x) -1

Vertex form of function  h(x) = (x +4)² -1

Therefore, h(x) = (x +4)² -1 is the function After translation of the graph 4 unit right and 1 unit down

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Answer:

-8mph

It is not possible for Sarah to have a speed of -8 mph, as speed is a scalar quantity and cannot be negative. Speed is defined as the magnitude of velocity, which is a vector quantity that has both magnitude and direction. A negative speed would indicate that the direction of Sarah's motion is opposite to what is stated. It is likely that you meant to ask about Sarah's velocity, which could be -8 mph. But since the question does not specify her direction, it is impossible to give an accurate answer.

Step-by-step explanation:

Answer:

Start: 400

After 1 Year: 7020

Step-by-step explanation:

You will have a good b-day tmrw

          HAPPY EARLY BIRTHDAY!!!!

The measure of angle Y is given as follows:

m < Y = 90º.

The sum of the measures of the internal angles of a triangle is of 180º.

For the larger triangle, the measures are given as follows:

Hence the measures of angles x and z are given as follows:

x + z + 50 = 180º

2x = 130

x = 130/2

x = z = 65º.

Then for the smaller triangle, the measures are:

Meaning that the measure of angle y is given as follows:

y + 25 + 65 = 180

y + 90 = 180

y = 90º.

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The formula in cell B3 using the VLOOKUP function to find the meaning for the medical abbreviation listed in cell A3, using the "abbreviation" lookup table, would be: =VLOOKUP(A3, "abbreviation", 2, FALSE).

A3 is the cell that contains the medical abbreviation we want to find the meaning for.

"abbreviation" is the name of the lookup table that contains the item names and meanings.

2 is the column number of the lookup table where the meanings are located.

FALSE is used to require an exact match for the abbreviation in cell A3, so that the correct meaning is returned.

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Answer: We can use a system of equations to solve this problem. Let x be the number of oranges sold and y be the number of apples sold. Then we know that:

x + y = 15 (the total number of fruits sold)

1x + 2y = 25 (the total cost of the fruits sold)

We can use the first equation to solve for one variable in terms of the other.

For example, we can solve for x:

x = 15 - y

Now we can substitute this expression into the second equation:

1(15 - y) + 2y = 25

15 - y + 2y = 25

3y = 10

y = 10/3 = 3.333

We can round it to 3 apples sold

So we have 3 apples and 12 oranges sold.

This can be represented in a graph with a point (12,3)

Alternatively, we can solve for y:

y = 15 - x

Now we can substitute this expression into the second equation:

1x + 2(15 - x) = 25

1x + 30 - 2x = 25

-x = -5

x = 5

So we have 5 oranges and 10 apples sold.

This can be represented in a graph with a point (5,10)

Both solutions represent the same values, the number of oranges and apples sold, but represented in a different way.

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

y=kx

k=y/x

k=9/2

k=4.5

y=kx

y=4.5*3

y=13.5

Answer: Option D is correct (None of the above)

Step-by-step explanation:

None of the above.

A measure of dispersion is a statistical technique for extracting a particular value from a dispersed series in which the amount to which different values of the series tend to deviate from one another or from the average is quantified. All dispersion measurements, from range to standard deviation, are positive.

The triangle ΔABC is the right-angle triangle. Then the measure of angle ∠A is 33.7°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The triangle ΔABC is the right-angle triangle in which angle ∠C is the right angle.

Then the measure of the angle ∠A is given as,

tan ∠A = 2/3

∠A = tan⁻¹ (2/3)

∠A = 33.7°

Thus, the measure of angle ∠A is 33.7°.

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The net surface area of rectangular prism is 242.2 meters square.

A rectangular prism is a three-dimensional shape with two top and bottom faces and four lateral faces. A rectangular prism seems to be a solid three-dimensional shape with six faces and rectangular bases. A rectangular prism seems to be a cuboid, and a cuboid and a rectangular prism both have the same cross-section.

This rectangular prism's surface area = l x b

We have provided

4 rectangular areas

A₁ = 4.3m x 10m

= 43 m²

2 rectangular areas

A₂ = 6.75m x 5.2m

= 35.1 m²

As a result, the rectangular prism's surface area is:

S.A. = 4A₁ + 2A₂

S.A. = 4(43) + 2(35.1)

= 172+ 70.2

= 242.2 meter square

As a result, the net surface area of the rectangular prism is 242.2 meters square.

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Answer:

Which answer choice shows 3.151 rounded to the nearest tenth?

A. 3.15

B. 3.16

C. 3.2

D. 3.1

Step-by-step explanation:

You're welcome

A counterexample to the statement given in this problem is:

Three colinear points.

The statement for this problem is given as follows:

You can connect any three points to form a triangle.

This statement is false, as for example, three points on a line do not form a function.

The counterexample is the statement that proves that a conjecture(another statement) is false, hence the first option is the correct option in the context of this problem.

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The expression when distributed is 3 + 2k

From the question, we have the following parameters that can be used in our computation:

1/5(15 + 10k)

The distribution property states that

a(b + c) = ab + ac

using the above as a guide, we have the following:

1/5(15 + 10k) = 1/5 * 15 + 1/5 * 10k

Evaluate the products

1/5(15 + 10k) = 3 + 2k

Hence, the equivalent expression is 3 + 2k

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8n/9-4/3 is the equivalent expression of 4/9(2n -3)

An expression is combination of variables, numbers and operators.

The given expression is 4/9(2n -3)

Four by nine times the 2n minus three.

n is the variable in the given expression and minus is the operator.

Apply distributive property

4/9(2n)-4/9(3)

8n/9-12/9

8n/9-4/3

Hence, 8n/9-4/3 is the equivalent expression of 4/9(2n -3)

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A function is what happens even if [tex]$f(-x)=f(x)$[/tex] for all [tex]$x \in \mathbb{R}$[/tex] and A function is what happens odd if [tex]$f(-x)=-f(x)$[/tex] for all [tex]$x \in \mathbb{R}$[/tex] .

Parity of [tex]$\sqrt{\tan ^2(y)}+\sqrt{y^2}, \frac{\pi}{2} < y < \pi$[/tex] : Even .

Defining parity

A function is what happens even if. [tex]$f(-x)=f(x)$[/tex] [tex]for all $x \in \mathbb{R}$[/tex]                      A function is what happens odd if [tex]$f(-x)=-f(x)$[/tex] for all [tex]$x \in \mathbb{R}$[/tex]

[tex]$$\begin{aligned}& f(-y): \quad \sqrt{y^2}+\sqrt{\tan ^2(y)} \\& -f(y): \quad-\sqrt{\tan ^2(y)}-\sqrt{y^2}\end{aligned}$$[/tex]

Check parity of [tex]$\sqrt{\tan ^2(y)}+\sqrt{y^2}$[/tex]

Equal or equivalentness, as a trait or state. Women have battled for equal pay to males in the workplace, or the equivalent of a commodity's price in one currency to that in another.

An integer's evenness or oddness is defined by its parity. In light of the fact that both 6 and 14 are even, it can be claimed that their parities are the same, but 7 and 12 have the opposite parity (since 7 is odd and 12 is even). the state of equality, particularly the state of equal pay or status Prison guards are want pay parity with the police. Women still lack balance in many occupations, especially at the top levels.

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The correct conclusion should be that the null hypothesis is rejected because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

Given information:

The plant manager of a company that makes pillows claims that only 8 percent of the pillows made have a stitching defect.

The director tested the hypotheses H.

p=0.08

[tex]\alpha =\\[/tex]0.05

p-value of of the test is found to be 0.03 which is smaller than the significance level of [tex]\alpha =0.05\\[/tex]

Now, for smaller value of p-value, the null hypothesis is ignored.

Therefore, the correct conclusion should be that the null hypothesis is reject because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

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The correct conclusion should be that the null hypothesis is rejected because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

Given information:

The plant manager of a company that makes pillows claims that only 8 percent of the pillows made have a stitching defect.

The director tested the hypotheses H.

p=0.08

α =0.05

p-value of of the test is found to be 0.03 which is smaller than the significance level of α =0.05

Now, for smaller value of p-value, the null hypothesis is ignored.

Therefore, the correct conclusion should be that the null hypothesis is reject because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

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Los datos faltantes de los prismas rectos (áreas de base, longitudes)

El volumen de los prismas rectos (V), en unidades de longitud al cubo, es igual al producto de la área de la base (A), en unidades de longitud al cuadrado, y la altura (h), en unidades de longitud:

V = A · h

A continuación, determinamos los datos faltantes asociados a cada casa:

Caso 1 - Prisma recto de base hexagonal

A = V / h

A = 450 mm³ / 10 mm

A = 45 mm²

Caso 2 - Prisma recto de base cuadrada

A = l²

A = (9 m)²

A = 81 m²

V = A · l

V = (81 m²) · (9 m)

V = 729 m³

Caso 3 - Prisma recto de base trapezoidal

A = V / h

A = 147 cm³ / 7 cm

A = 21 cm²

Case 4 - Prisma recto de base rectangular

b = V / (h · a)

b = 900 m³ / [(11.5 m) · (9 m)]

b = 8.696 m

A = (9 m) · (8.696 m)

A = 78.264 m²

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Answer:

Its either .5 or 5

Step-by-step explanation:

im not sure which one though lol

:)

Answer: The slope of a line perpendicular to y = -5x - 1 is 5, as the slopes are negative reciprocals of each other. To find the equation of a line passing through the point (10, 3), we can use the point-slope form of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is the point the line passes through, m is the slope of the line, and y and x are the variables representing the coordinates of a point on the line.

Plugging in the given values:

y - 3 = 5(x - 10)

Simplifying, we get:

y = 5x - 25 + 3

y = 5x - 22

So the equation of the line is y = 5x - 22

Step-by-step explanation:

The sum of 8 and 11 times a number will be (8+11x).

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. There are summations with an infinite number of terms. The result or conclusion of adding two or more numbers or sentences is known as the sum.

Let x be the number.

The result is 11 times the number, or 11x.

The result of adding the number's multiples of 8 and 11 is 8+11x.

The result that is produced when we add numbers, objects, or other things is referred to in mathematics as the sum. For instance, the sum of addends 14 and 6.

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The two formulas X and Y will be known as equivalence if and only if X ↔ Y is a tautology.

Consider there to be X and Y as the two formulas. In the event that X Y is a tautology, these formulas are referred to as equivalence. If the two formulas X Y are tautologies, we can also write them as X Y and read this relation as X is equivalent to Y.

Using a truth table, We will build the truth tables for any two-statement formula using this technique, and then we will determine whether the assertions are equivalent.

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The equation of the line that passes through (-3,1) and is parallel to y=4-3x is y = -3x -8.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

An equation y = 4 - 3x

The slope of a line that is parallel to y = 4 - 3x is,

= -3

The equation of the line that passes through (-3,1) and is parallel to y=4-3x,

y - 1 = -3(x + 3)

y - 1 = -3x -9

y = -3x -8

Therefore, y = -3x -8 is the required equation.

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The increasing and decreasing function is discussed above.

Given is the function f(x).

Increasing and decreasing functions are functions in calculus for which the value of f(x) increases and decreases respectively with the increase in the value of x. We can write -

Therefore, the increasing and decreasing function is discussed above.

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