The polynomial function F(x) = 2x^2 + 4has a critical point at which of the following x values? A. x=0 B. ×= 4 C. X=2 D. X= -2

It depends on the purpose of dividing 30. There is no specific answer for dividing 30 into a certain number of parts. It can be divided into any number of parts, as long as it is a whole number.

Answer:

it depends upon ur requirement that  hw many parts is needed by u

Step-by-step explanation:

like if u need 2 parts it can happen by having 15 on  one side and 15 on the other similarly it,s the way to divide it to many parts required by u

The surface area of the regular triangular pyramid is 76 square centimeters.

A three-dimensional object with a triangle base and three triangular faces is known as a regular triangular pyramid.

Given:

A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles.

It has a lateral surface area of 57 square centimeters.

The area of a 3-dimensional object's sides, excluding its base and top, is referred to as its lateral surface area.

A total of four face areas make up the surface area of a triangular pyramid.

The area of one face = lateral surface area / 3

57 / 3 = 19

The surface area = 19 x 4 = 76

Therefore, the surface area is 76 square centimeters.

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The function of the line passing through the points (0,0) and  (-6,-18) is y = 3x.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points are (0,0) and  (-6,-18)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = -18/-6

m = 3

The equation of the line is given as

y - y₁ = 3 (x - x₁)

y + 0 = 3(x - 0)

y = 3x

Thus, the function of the line passing through the points (0,0) and  (-6,-18) is y = 3x.

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To find an interpolating polynomial, we need to fit a polynomial to the given data points. The simplest way to do this is by using the Lagrange Interpolating Polynomial formula:

p(t) = ∑ (y_i * l_i(t))

where y_i = the y-value of the data point

           l_i(t) = Lagrange basis polynomial for data point i, defined as:

            l_i(t) = (∏ (t-t_j)) / (t_i-t_j) for all j ≠ i

Using this formula, we can find the interpolating polynomial for the given data points:

p(t) = 0.0006t^5 - 0.0222t^4 + 0.2436t^3 - 1.0528t^2 + 2.2080t + 2.0400

So the interpolating polynomial for this data is a 5th degree polynomial, which means that it is necessary to use a polynomial of at least degree 5 in order to accurately fit the data.

If we try to use a polynomial of degree less than 5, the polynomial will not fit the data points accurately, and the difference between the polynomial and the actual data points will be significant. This means that the results of the wind tunnel experiment would be inaccurate if we use a polynomial of lower degree.

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Answer:

Where is your question

Step-by-step explanation:

I need it to solve the problem

Answer: 6f-6g

Step-by-step explanation:

Answer:

1296

Step-by-step explanation:

2 | 36

3 | 216

the pattern is 6^x

so 6^4 is 1296

Answer:

1. 184-x

2. 90

3. y=4x/3-23/3

Step-by-step explanation:

1. 180-(x-4)=184-x (supplementary angles)

2. 180/2=90 (supplementary angles)

3. y=-3x/4+2

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

y=4x/3-23/3

Answer:

The dimensions of the sand volleyball court are 17 meters by 8 meters.

In this case, the denominator degrees of freedom is 18 - 3 = 15.

The denominator degrees of freedom for this ANOVA test is the total number of observations in the sample minus the number of groups, or n-k.

The denominator degrees of freedom are the total number of observations in the sample minus the number of groups being compared. This value is used in statistical tests such as ANOVA to determine the probability of obtaining a given value of the test statistic, and it is also used in calculating the standard error of the mean. In ANOVA, the denominator degrees of freedom is equal to the total sample size minus the number of groups.

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In case of the following perpendicular triangles-

Part 1)  x=8

Part II mRSU=133°

mUST=47° (Part 3).

mWSV=43° (Part 4).

5th Part mVSU=137°

Explanation in detail:

To better understand the issue, please examine the accompanying figure.

Part 1) Determine the value of x.

We are aware that

mRSU and mUST are auxiliary angles (by linear pair)

so m∠RSU+m∠UST=180°

We now have

m∠RSU=(17x-3)°

m∠UST=(6x-1)°

Substitute the provided values for x and solve

Part 2) Determine the value of mRSU.

We now have

m∠RSU=(17x-3)°

replace the value of x

m∠RSU=17(8)-3=133°

Part 3) Determine the value of mUST.

We now have

m∠UST=(6x-1)°

replace the value of x

m∠UST=6(8)-1=47°

Part 4) Determine the value of mWSV.

We are aware that

mRSW=mUST ——-> by means of vertical angles

so

m∠RSW=47°

mRSW+mWSV=90° ----> issue presented (SV perpendicular RT)

Substitute mRSW for the value of mWSV and solve for mWSV.

47°+m∠WSV=90°

m∠WSV=90°-47°=43°

Part Part 5) Determine the value of mVSU.

We are aware that

m∠VSU=m∠VST+m∠UST

We now have

mVST=90° ----> provided issue (SV perpendicular RT)

m∠UST=47°

substitute

m∠VSU=90°+47°=137°

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We can see here that the value of n = 16.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that represent a mathematical value or concept. It can be a single term, such as "5x", or a combination of terms, such as "5x + 2". Expressions are used to describe mathematical relationships and equations, and they can be simplified, evaluated, and solved to determine a numerical value.

Below is how we got n.

We can see that having: [tex]\frac{(q^{4} )^{-3} }{q^{-15} }[/tex]

[tex]\frac{(q^{4} )^{-3} }{q^{-15} } = q^{n}[/tex]

Thus, [tex]\frac{(q^{4} )^{-3} }{q^{-15} } = \frac{q^{4-3} }{q^{-15} }[/tex]

∴ [tex]\frac{q^{4-3} }{q^{-15} } = q^{1-(-15)} = q^{1+15} = q^{16}[/tex]

Therefore, [tex]q^{n} = q^{16}[/tex]

Thus, n = 16.

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Step-by-step explanation:

oh, come on. this can be easily answered by all the formulas and information from the other question.

again the area of a circle is

pi×r²

so, for the given area of 9pi this means the radius is

r = sqrt(9) = 3 cm

the slant height is 4 times the radius

L = 3×4 = 12 cm

the total surface area of a cone is again

pi×r(r + L) = pi×r² + pi×r×L

the lateral area alone (without the base area) is then

pi×r² + pi×r×L - pi×r² = pi×r×L

in our case

3.14×3×12 = 113.04 ≈ 113 cm²

Answer:

2.31m

Step-by-step explanation:

Trigonometry:

cosθ = adjacent/hypotenuse

cos(74) = adjacent/(8.39)

adjacent = 8.39 × cos(74)

adjacent = 2.3125974152

2.31 (to 2 d.p.)

Answer:

m = 1/4

Step-by-step explanation:

Slope is defined as

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

There are two solid points

(4,0) (-4,-2)

So using that equation

=(-2-0)/(-4-4)

=(-2)/(-8)

=1/4

Slope is 1/4

The third quartile of the data set is 20, and option C  is correct.

A data set is a structured group of data. As we are all aware, data is a grouping of information that has been gathered by observations, measurements, research, or analysis. Facts, figures, names, and even simple descriptions of objects could be included in it. Data can be arranged for our study in the form of graphs, charts, or tables.

Given a chart for the number of rabbits, a farmer observed on his farm over a period of nine weeks.

week         1     2    3     4       5     6     7      8      9

rabbits       2    3     5     7     11    15     18    22    27

the formula of quartiles is

Lower Quartile (Q1) = (N+1) * 1 / 4

Middle Quartile (Q2) = (N+1) * 2 / 4

Upper Quartile (Q3 )= (N+1) * 3 / 4

here N = 9

third quartile(Q3) = (N+1) * 3 / 4

third quartile(Q3) = (9 + 1)3/4

third quartile(Q3) = 7.5 term

third quartile(Q3) is the term between 7th and 8th week

third quartile(Q3) = (7th term + 8th term)/2

7th term = 18

8th term = 22

third quartile(Q3) = (18 + 22)/2

third quartile(Q3) = 20

Hence option C is correct.

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Applying the exterior angles theorem, the measure of angle JKL is: 22°.

Exterior Angle Theorem states: "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it."

Applying the exterior angles theorem, we would create the following equation:

m<JKL = m<KIJ + m<IJK

Substitute:

5x - 3 = 2x + 8 + x - 1

Solve for x

5x - 3 = 3x + 7

5x - 3x = 3 + 7

2x = 10

x = 5

m<JKL = 5x - 3 = 5(5) - 3

m<JKL = 22°

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In the given position-versus-time graph, the object moving the slowest without being at rest is at point B.

A position-versus-time graph illustrates how far an object has travelled from its starting position at any given time since it started moving. The vertical axis describes the position of the object, and the horizontal axis describes the time.

The slope of the graph indicates the speed of the moving object. Hence, the value of the slope at a particular time indicates the speed of the object at that instant. Hence, the steeper the line is, the greater the slope of the line and the faster the object's motion is changing.

In the given graph, at points A, C and E, the slope is zero; the object is not moving, hence at rest. At the point, D slope is steeper as compared to the slope at point B. Hence, the object is moving slower at point B as compared to point D.

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--The given question is incomplete; the complete question is

"The figure shows the position-versus-time graph for a moving object. At which point or points is the object moving the slowest without being at rest?"--

The worth of the homework is 55% and worth of final exam is 15%. The worth of each three projects is 10%

a) Finding the student's grade, If a student has an 82 homework average and a 96 on the first project.

Students grade = 82(55%) + 96(15%)

= 45.1 + 14.4

Students grade= 59.5

(b) Finding the lowest grade the student If a student gets a 78 on the second project and a 76 on the third project.

Let G be the lowest grade in the final exam.

It was stated that the lowest grade the student can get on the final exam to get an 80 overall in the course:

82(55%) + (96 +74 + 71)(25%)  +G (15%)= 82

45.1 +60.25 + G0.15 = 82

Making G the subject of the relation we have

G0.15 = 82 -105.35

G0.15 = --23.35

G= 155-100

Therefore the lowest grade is 55

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Answer:

$102

Step-by-step explanation:

It cost $25.50 per inch.  They want to buy 4 inches.

Inch 1    Inch 2   Inch 3    Inch 4

    v            v           v             v

25.50 + 25.50 + 25.50 + 25.50 is the same as 25.50 · 4 which equals 102

If A = {1, 3, 5} then it must contain 9 equivalence relations.

A relation that is reflexive, symmetric, and transitive is called an equivalence relation.

A = {1, 2, 3}

For equivalence relation containing (1, 3)

For symmetric, it must consist (1, 3) and (3, 1).

For transitivity, it must consist (1, 3) and (3, 2) and (1, 2),(2, 1),(2, 3),(3, 1)

For reflexivity, it must consist (1, 1) and (2, 2),(3, 3)

⇒ R = {(1, 1),(2, 2),(2, 3),(3, 3),(1, 2)(1, 3),(2, 1),(3, 1),(3, 1)}.

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To compare the two birdbaths, we can compare the equations for their respective cross sections.

Cross sections are a two-dimensional representation of a three-dimensional shape or object. Cross sections can be used to help visualize the internal and external structure of an object, such as a building, machine, or living organism. They are also used to understand the physics and math of a certain area, such as the flow of air or the interactions of particles.

To compare the two birdbaths, we can compare the equations for their respective cross sections. The equation for the first birdbath is y=(x-18)² – 4, while the equation for the second birdbath is y=75. We can compare the two equations by looking at how the x-values affect the y-values. In the first equation, as x increases, y increases. In the second equation, y remains constant. This indicates that the second birdbath is a shallower bowl than the first birdbath.

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The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.

Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1. Therefore, there are 2 possibilities for each xi. The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.

This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.

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Answer:

t ^3

Step-by-step explanation:

t^2.t

= t × t^2+1

= t^3

Answer:

[tex]\frac{4}{3}[/tex] or 1.333333333 euro

Step-by-step explanation:

Answer:

1 euro = £0.75

£1= 4/3 or 1.33333 repeating

Hope this helped!

Step-by-step explanation:

a) The area of the floor A = 247 feet² volume of the pod is V = 1,235 feet³

b) The surface area of the lap pool is S = 1,574 yards²  and the volume of the pool is V = 2,760 yards³

c) The area of the bed soil is A = 200 feet² and the volume of the bed soil is V = 360 feet³

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges

The volume of a cuboid is the product of its length , width and height

The volume of the cuboid is given by

Volume of Cuboid = Length x Width x Height

Given data ,

a)

Let the length of the pod be L = 19 feet

Let the width of the pod be W = 13 feet

Let the height of the pod be H = 5 feet

Now , the area of the floor = L x W

Substituting the values in the equation , we get

The area of the floor = 247 feet²

Now , the volume of the floor V = L x W x H

Volume of the pod = 247 x 5

Volume of the pod = 1235 feet³

b)

Let the length of the pool be L = 24 yards

Let the width of the pool be W = 23 yards

Let the height of the pool be H = 5 yards

Now , the surface area of the pool = 2 ( LH + LW + HW )

Substituting the values in the equation , we get

The surface area of the floor S = 2 ( 24x5 + 24x23 + 23x5 )

The surface area of the floor S = 2 ( 120 + 552 + 115 )

The surface area of the floor S = 1574 yards²

Now , the volume of the pool V = L x W x H

Volume of the pool = 24 x 23 x 5

Volume of the pool V = 2,760 yards³

c)

Let the length of the bed be L = 40 feet

Let the width of the bed be W = 5 feet

Let the height of the bed be H = 1.5 feet

Now , the area of the bed = L x W

Substituting the values in the equation , we get

The area of the bed = 200 feet²

Now , the volume of the soil V = L x W x H

Volume of the bed soil = 200 x 1.8

Volume of the bed V = 360 feet³

Hence , the volume is solved

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Answer:

s + 2.5v ≥ 25

Step-by-step explanation:

           Cost of 1 song = $1

        Cost of 's' songs = s * 1 = s

  Cost of 1 video = $2.50

Cost of 'v' videos = 2.50 * v = 2.5v

As he wants to spend at least $ 25, he wants to buy for an amount equal to $ 25 or more than $ 25.

        Total amount to spend ≥ $ 25

          s + 2.5v ≥ 25

For given trigonometric function csc^2x(1-cos^2x)=1 to established option D is a key step.

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.

Now,

given function is csc^2x(1-cos^2x)=1

=csc^2x(sin^2x)

=1/sin^2x*sin^2x

=1

Hence,

            For given trigonometric function csc^2x(1-cos^2x)=1 to established option D is a key step.

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