PLEASE HELP IM BEGGING

Note that the correct answers are :

1. Over the interval [2,3], the   average rate of change of g is lower than that of both f andh.

  - This statement is false.   The average rate of change of g may or may not be lower than that of f and h over the interval [2,3]. It depends on the specific values of f, g,and h at those points.

2. When x >4, the value of h(x) exceeds the values of both g(x) and f(x).

  - This statement   is true.   As x becomes   greater than4, the quadratic function h(x) will  eventually exceed both the linear function g(x) and the exponential function f(x). This is   because the quadratic function grows faster than the linear and exponential functions inthe long run.

3. As x increases on the interval [0, infinity],   the rate of change of g eventually exceeds  the rate of change of both f and h.

  - This statement is   true. The functiong(x) is a linear function   with a constant rate of change,while f(x) and h(x) are exponential and quadratic functions, respectively.

As x increases indefinitely,the rate of change of g will eventually surpass the rate of change of f and h,   which may become relatively slower.

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Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

Answer:

Translation:

Dilation:

Reflection:

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

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The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

The solution of the system of equations is (-4,-4), We can also solve the system of equations by using elimination. Multiplying the first equation by 2 and the second equation by 1

To solve the system of equations, we can add the two equations together. This gives us x = -4. We can then substitute this value into either equation to solve for y. Substituting into the first equation gives us -8 - 4y = -12. Solving for y gives us y = 1.

We can also solve the system of equations by using elimination. Multiplying the first equation by 2 and the second equation by 1, we get:

Adding these two equations together gives us 3x = -16. Solving for x gives us x = -4. We can then substitute this value into either equation to solve for y. Substituting into the first equation gives us -8 - 4y = -12. Solving for y gives us y = 1. Therefore, the solution of the system of equations is (-4,-4).

Here is a table of the steps involved in solving the system of equations:

Equation            Step         Result

2 x-4 y=-12     Multiply by 2  4 x-8 y=-24

-x+4 y=8             Multiply by 1  -x+4 y=8

4 x-8 y=-24       Add                   3x = -16

-x+4 y=8          Subtract                   4x = -32

x = -4            Divide by 3            x = -4

-4 y=-12          Substitute x = -4      y = 1

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The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

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Answer:

A

Step-by-step explanation:

Answer:

Not equivalent

Step-by-step explanation:

if we simplify our two equations we get 6x + 2y and 4x + 4y. Which is not equivalent to each other

To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Mr. Dyer received 1,080 votes.

Ratio of votes = 4:3:2

Total votes = 4 + 3 + 2 = 9

Total votes cast = 2,700

Mr. Dyer's votes = (4/9) x 2,700 = 1,080 votes

The ratio of votes cast for Mr. Dyer, Ms. Frau and Mr. Borak was 4:3:2 respectively. This means that for every 9 votes cast, 4 votes were for Mr. Dyer, 3 votes were for Ms. Frau and 2 votes were for Mr. Borak. Since none of the 2,700 voters cast more than one vote, the total votes cast for each candidate would be 2,700. To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Therefore, Mr. Dyer received 1,080 votes (4/9 x 2,700).

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Answer:

x= 50°

y=61°

Step-by-step explanation:

Use the formula 180°(n-2) {where n stands for the number of sides of the polygon} to find the sum of interior angles of the shape.

sum of int. <s=180°(n-2)

sum of int. <s=180°(5-2)

sum of int. <s=180°(3)

sum of int. <s=540°

Add every angle given in the pentagon and equate to 540°

108°+125°+98°+98°+2x+11°=540°(sum of int. <s of a pentagon.)

2x+440°=540°

{Subtract 440° from both sides to isolate the variable}

2x+440°-440°=540°-440°

2x=100

{Divide both sides by 2 to further isolate the variable}

\( \frac{2x}{2} = \frac{100}{2} \\ x = 50\)

{angles on a straight line must add up to 180°}

2x+11°+y+8°=180°{<s on a Straight line}

2(50°)+11°+y+8°=180°

y+119°=180°

y+119°-119°=180°-119°

y=61°

:. y=61° and x=50°

The values of x and y are given as follows:

The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:

S(n) = 180 x (n - 2).

The polygon has five sides, hence the sum is given as follows:

S(5) = 180 x 3 = 540º.

Considering the sum of 540º, the value of x is obtained as follows:

108 + 125 + 98 + 98 + 2x + 11 = 540

2x = 540 - (108 + 125 + 98 + 98 + 11)

2x = 100

x = 50.

An exterior angle is always supplementary with it's interior angle, meaning that the value of y is obtained as follows:

y + 8 + 2(50) + 11 = 180

y = 61.

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Answer:

The y-intercept is (0,3)

Step-by-step explanation:

In statistics, a post-hoc test is a follow-up statistical test that is performed after obtaining a significant result in an ANOVA or a similar test. A post-hoc test is warranted when the F is significant and we have more than two groups.

Post-hoc tests are used to determine which specific groups are significantly different from each other, and to identify the direction of those differences.

In the given options, option A is correct. A post-hoc test is warranted when the F is significant and we have more than two groups. This is because the ANOVA only tells us whether there are differences among the groups, but it does not tell us which specific groups are different from each other. In order to determine the differences between the groups, we need to perform a post-hoc test.

Option B is incorrect. If we fail to reject the null hypothesis in an ANOVA, then there is no need for a post-hoc test, because we have not found any significant differences among the groups.

Option C is also incorrect. If we reject the null hypothesis in an independent-groups t test, then we have already found significant differences between two groups, and there is no need for a post-hoc test.

Option D is also incorrect. An a priori prediction is made before the experiment is conducted, and it is used to determine which statistical test to use. A post-hoc test, on the other hand, is used after the experiment is conducted and a significant result is obtained.

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Answer:

x = 36 degrees, the smaller angle.

4(36) = 144 degrees, The larger angle.

36 + 144 = 180 degrees.

Cleomenius.

Answer:

x = 36 degrees, the smaller angle.4(36) = 144 degrees, The larger angle.36 + 144 = 180 degrees.

Step-by-step explanation:

(1)adjacent- two non-overlapping angles that share a common vertex and a common side

(2)the non-common sides are opposite rays.

(3)adds up to 180

The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.

To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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Answer:

56

Step-by-step explanation:

112 divided by 100 to make it into a real number and then multiply it by 50

Answer:4

Step-by-step explanation:

H= 2*26/5+8

Answer:

7.5×10^-3

Step-by-step explanation:

\( \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } \)

due to the law of indices :

\( = 4.21875 \times 10 ^{ - 7} \)

don't forget

(0.027/64000)⅓

so :

\( ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } \)

i.e third root of the answer above

\( = 7.5 \times {10}^{ - 3} \)

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Answer: conjecture

Step-by-step explanation:

A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.

Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.

Note:

Step-by-step explanation:

part A

c=3.14d

3.14*8

=25.12inches

circumference circle B

3.14*3

=9.42inches

part B area

A=3.14r^2

=3.14*4*4

=50.24inches^2

B

=3.14*1.5*1.5

=7.065inches^2

part c

the circumference area are larger for circles with bigger diameter or radius.

Answer:

at the picture or the a b c d ?

Answer:

12

Step-by-step explanation:

cancelling out and multiplying the numbers

Answer:

12

Step-by-step explanation:

Hi,

3/4 x 16

Same thing as...

3/4 x 16/1

(When multiply fractions, you can multiply straight across)

16 x 3 = 48

4 x 1 = 4

48/4 which is equal to 12.

Your answer is 12 :)

Let f (x) = x² − 6. With p₀ = 3 and p₁ = 2, then by using the scant method the value of p₃ is 2.4494 (option a).

To use the Secant method to find p₃ for the function f(x) = x² - 6, we start with p₀ = 3 and p₁ = 2. We then use the formula:

pₙ+1 = pₙ - f(pₙ) x (pₙ - pₙ-1) / (f(pₙ) - f(pₙ-1))

where n is the iteration number, and f(x) is the function we are trying to find the root of. Using this formula, we can find p₂ and p₃ iteratively as shown below:

p₂ = 2.07692 (calculated using the formula above with n=1) p₃ = 2.44949 (calculated using the formula above with n=2)

To use the method of False Position to find p₃ for the function f(x) = x² - 6, we start with p₀ = 3 and p₁ = 2. We then calculate f(p₀) and f(p₁), which are 3² - 6 = 3 and 2² - 6 = -2, respectively. We then use the formula:

p₂ = p₁ - (p₁ - p₀) x f(p₁) / (f(p₁) - f(p₀))

to find p₂, which is 2.4. We then calculate f(p₂), which is 0.56. Since f(p₂) and f(p₀) have opposite signs, we replace p₁ with p₂ and repeat the process to find p₃, which is 2.44722.

Comparing the results from the Secant method and the method of False Position, we can see that the Secant method gives us p₃ = 2.44949, while the method of False Position gives us p₃ = 2.44722.

Hence the correct option is (a).

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Midpoint of any line segment can be calculated using equal ratio which is given by ( x , y ) = [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].

As given in the question,

Let us consider two endpoints of the line segment be ( x₁ , y₁ ) and (x₂ , y₂ ).

Midpoint divides the line segment into equal ratio.

Line segment divided into equal ratio of m : m

Coordinates of the mid point be ( x , y ) is given by

( x , y ) =  [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ]

Line segment divided into the ratio 1 : 1

Then midpoint is equal to

(x ,y ) = [ (x₁ + x₂ )/2 , (y₁ + y₂ )/2]

Therefore, the midpoint calculated with some definite ratio is given by                  

( x , y ) =  [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].

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The solution to the given inequality is x < -6

For the number line, an open circle will be drawn on the value of -6 and the arrow pointing to the left side.

Given the inequality expression as shown

6x + 6 < -30

Subtract 6 from both sides

6x < -30 - 6

6x < -36

Divide through by 6

x < -36/6

x < -6

For the number line, an open circle will be drawn on the value of -6 and the arrow pointing to the left side.

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