Given F(x) = 2x - 1; G(x) = 3x + 2; and H(x) = x 2, find the function F(x) + G(x) + H(x).

A critical value, z Subscript alphas is (c) z-score with an area of ?? to its left.

A critical value, denoted as z (Subscript α/2), is a point on the standard normal distribution curve, which is used in hypothesis testing. It helps to determine whether to accept or reject the null hypothesis. In this context, the critical value denotes the z-score with an area of ?? to its left, which represents the probability of observing a value more extreme than the critical value in the left tail of the distribution.

The critical value z Subscript α/2 signifies the z-score with an area of ?? to its left on the standard normal distribution curve, which is crucial for hypothesis testing.

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The data collected from the customers in restaurants about the quality of food is an example of a(n); Observational Study

There are four types of statistical studies namely;

Observational studies

Surveys

Experiments

Meta-analytical studies.

1) An observational study involves observing and recording data on some variable(s) of interest.

2) A (sample) survey uses questioning to gather data.

3) An experiment also referred to as experimental study attempts to give an answer to a statistical question by manipulating all or part of the sample.

Now, we are told that some data was collected from the customers in restaurants about the quality of food.

This is a type of observational study because it involves observing and recording data on an interest which is quality of food

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We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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Answer:

The 3 consecutive odd numbers are -67, -65 and -63 and the least of them is -67.

Explanation:

Consecutive odd numbers means that the next number will be two more than the previous one.

Let the 1st number be y, the other 2 consecutive odd numbers will be y + 2 and y + 4.

We're also told that the sum of the 3 numbers is -195, so our equation can be written thus;

Let's collect like terms and solve for y;

So our 1st number is -67.

Let's go ahead and find the other 2 numbers;

2nd number: y + 2 = -67 + 2 = -65

3rd number: y + 4 = -67 + 4 = -63

Therefore, the 3 consecutive odd numbers are -67, -65 and -63 and the least of them is -67.

Answer:

a

Step-by-step explanation:

the correct choice is B: There are infinitely many solutions. The solution set is {(_, _, z)}, where z is any real number.

To solve the given system of equations:

Equation 1: x - y + z = -7
Equation 2: 8x + y + z = 8

We can solve this system by using the method of elimination or substitution.

Let's use the method of elimination:
Add equation 1 and equation 2 to eliminate the variable y:
(x - y + z) + (8x + y + z) = -7 + 8
9x + 2z = 1     ----(3)

Now, subtract equation 1 from equation 2 to eliminate the variable y:
(8x + y + z) - (x - y + z) = 8 - (-7)
7x + 2y = 15     ----(4)

Now, we have a system of two equations:
9x + 2z = 1     ----(3)
7x + 2y = 15     ----(4)

To eliminate the variable x, multiply equation 4 by 9 and equation 3 by 7:
63x + 18y = 135     ----(5)
63x + 14z = 7      ----(6)

Now, subtract equation 5 from equation 6 to eliminate the variable x:
(63x + 14z) - (63x + 18y) = 7 - 135
14z - 18y = -128

Simplifying further, we have:
-18y + 14z = -128     ----(7)

Now, we have two equations:
9x + 2z = 1     ----(3)
-18y + 14z = -128     ----(7)

This system has two variables (x and y) and two equations. We can solve for x and y in terms of z. However, the solution set is not unique. There are infinitely many solutions depending on the value of z.

Therefore, the correct choice is B: There are infinitely many solutions. The solution set is {(_, _, z)}, where z is any real number.

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Answer:

C

Step-by-step explanation:

srslly its easy just look at it

Output z obtained as: multiply w with 5 and then subtract 3 from the result: w --> *5 ---> -3 ---> z.

There are only one or two variables in a linear equation.

The given expression is:

z = 5w-3

Here:

Input value : 5w-3

Output value : z

So,

Output z obtained as:

multiply w with 5 and then subtract 3 from the result:

w --> *5 ---> -3 ---> z

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Answer:

8 1/3ft

Step-by-Step Explanation:

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

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Answer:

453.6

Step-by-step explanation:

the rule is

R% x P x T

which in this question is:

r%= 9%

p= 630

t=8

so

630 x 8 x 9% = 453.6

that's the final answer and in order to make sure make

630+453.6=1083.6

Answer:

6x/5 + 7y/3

Step-by-step explanation:

Answer:

3.53xy

Step-by-step explanation:

I’m probably wrong but give it a try I think

Answer:

8

see image for work

Answer:

If each square (from the squared paper) has side length 1, then that hexagon has four sides of length √12+42=√17 and two sides of length √32+32=√18.Step-by-step explanation:

The recursive formula in this case is;

Arithmetic, t0=15

and tn=2.8+tn−1

where n≥1

Option A

A recursive formula is a formula that defines a sequence of values in terms of its previous values. It provides a way of defining a sequence in a compact form, with each term of the sequence depending on one or more preceding terms.

In mathematics, recursive formulas are often used to define sequences. We can see that in this sequence, the first term is 15 and the common difference is obtained by simple subtraction .

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The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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9514 1404 393

Answer:

  $10.75

Step-by-step explanation:

The amount they left as a tip is ...

  25% × $43 = 0.25 × $43 = $10.75 . . . tip amount

Answer:

-6.433,-0.76,-0.55,-0.04,3.54

Step-by-step explanation:

hope this helps

The solution set of 6 ㏑ e = e ^ ㏑ 2x is 3

What is relation between Exponents and logarithms ?

Exponents and logarithms are inverse functions, you can use exponents to "undo" logarithms and use logarithms to "undo" logarithms. Exponents specify the number of times you must multiply a value, while logarithms specify which exponent to apply to obtain a certain value.

The given expression is,

6 ㏑ e = e ^ ㏑ 2x

we know, ㏑ (e) = 1 and e ^ ㏑(x)  = x

Put these values,

6 * 1 = 2x

Now, find x

6 = 2x

x = 3

Hence, the solution set of 6 ㏑ (e) = e ^ ㏑ (2x)  is 3

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Answer:

Step-by-step explanation:

It's x=7.1 plus 22

Answer:

Center: (−2,−1)

Step-by-step explanation:

( use math

way )

Since the zeroes are 1/3 which has multiplicity 2, -4 and i, then

The factors of the polynomial are

Multiply the 3 factors

Multiply The first 2 brackets

Add the like terms in the 1st bracket

Multiply the 2 brackets

Add the like terms

Since the leading coefficient is 63, multiply all terms by 7

The problem described is option A: "Give an example of a graph that has a relaxed 3-coloring but does not have a proper 3-coloring (where every edge has endpoints of different colors)."

To illustrate this, consider a cycle graph with four vertices. Let's label the vertices as A, B, C, and D. We can assign the colors red, green, and blue to the vertices in the following way:

A -> red

B -> green

C -> red

D -> blue

This is a relaxed 3-coloring because no edge has both endpoints with the same color. However, it is not a proper 3-coloring because vertices A and C are both assigned the color red, and they are connected by an edge.

Regarding option B, proving that it is NP-hard to determine whether a given graph has a relaxed 3-coloring would require a more in-depth analysis and proof based on complexity theory and reduction from known NP-hard problems.

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Answer:

Step-by-step explanation:

a: 1cm 15cm : 172.5

b: 4 months : 1 year

c: 4/5 :7/8

d: 13/4 : 2/3

e: 7/4 : 2.5 : 7/6

Answer:

same answer

Step-by-step explanation:

please mark me brainlest

The dimensions of the corral that will minimize the cost of the fencing are x = 4 yards (width) and y = 325 yards (length).

To begin solving this problem, we need to use the given information to set up an equation that represents the cost of the fencing. Let's start by defining the dimensions of the rectangular corral. We can use x to represent the width and y to represent the length.

Since the area of the corral is 1300 square yards, we know that:

xy = 1300

Now, let's think about the fencing. We need to divide the corral in half with a fence down the middle, which means we have two equal sections with a width of x/2. The length of each section is still y.

To find the perimeter of each section, we add up all the sides. For the top and bottom, we have two lengths of y and two widths of x/2. For the sides, we have two lengths of x/2 and two widths of y. This gives us a perimeter of:

2y + x + 2x + 2y = 4y + 2x

Since we have two sections, the total perimeter is:

2(4y + 2x) = 8y + 4x

We can now set up an equation for the cost of the fencing:

Cost = (8y + 4x)($5) + (x)($3)

The first part of the equation represents the cost of the perimeter fence, while the second part represents the cost of the fence down the middle.

Now, we want to find the dimensions of the corral that will minimize the cost of the fencing. To do this, we can use calculus. We take the derivative of the cost equation with respect to x and set it equal to zero:

dCost/dx = 20y + 3 = 0

Solving for y, we get:

y = -3/20

Since we can't have a negative length, this solution is not valid. However, we can find the minimum cost by plugging in the value of y that makes the derivative equal to zero into the original equation for the cost of the fencing. This gives us:

Cost = (8y + 4x)($5) + (x)($3)
Cost = (8(-3/20) + 4x)($5) + (x)($3)
Cost = (-(12/5) + 4x)($5) + (x)($3)
Cost = -24x + 3x^2 + 3900

To minimize the cost, we take the derivative with respect to x and set it equal to zero:

dCost/dx = -24 + 6x = 0
x = 4

Plugging this value of x back into the equation for the cost of the fencing gives us:

Cost = -24(4) + 3(4^2) + 3900
Cost = $3892

Therefore, the dimensions of the corral that will minimize the cost of the fencing are x = 4 yards (width) and y = 325 yards (length).

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Now that we additionally know the point (3, -1) through which the new line should pass, we may express a line using the point-slope form: y = - 5 / 3 x + 4.

5x + 3y = 6

3y = -5x + 6

y = -5/3x + 6 / 3

y = - 5 / 3x + 2

y - y0 = m(x - x0)

y - (-1) = -5 / 3 (x - 3)

y + 1 = -5 / 3 x + 5

y = - 5 / 3 + 4.

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A higher percentage of people who did not wear wrist guards (41.67%) experienced wrist injuries compared to those who did wear wrist guards (11.32%).

Based on the information provided, we can analyze the data on injuries to in-line skaters. Let's break down the given numbers:

Total number of people interviewed: 161

Number of people wearing wrist guards: 53

Number of people wearing wrist guards with wrist injuries: 6

Number of people not wearing wrist guards: 108

Number of people not wearing wrist guards with wrist injuries: 45

From this information, we can calculate the following:

Percentage of people wearing wrist guards with wrist injuries:

(Number of people wearing wrist guards with wrist injuries / Number of people wearing wrist guards) × 100

= (6 / 53)× 100 ≈ 11.32%

Percentage of people not wearing wrist guards with wrist injuries:

(Number of people not wearing wrist guards with wrist injuries / Number of people not wearing wrist guards)×100

= (45 / 108) ×100 ≈ 41.67%

These calculations provide insights into the likelihood of wrist injuries in relation to wearing wrist guards while inline skating. The data suggests that the percentage of wrist injuries among those wearing wrist guards is lower (11.32%) compared to those not wearing wrist guards (41.67%). This indicates that wearing wrist guards may offer some protection against wrist injuries while inline skating.

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Yes, it is widely known that 100-200 high-frequency words account for about 50% of the words used in school texts. This highlights the importance of explicitly teaching these words to students in order to improve their reading fluency and comprehension.

Among these high-frequency words, almost 25% are permanently irregular, meaning that they do not follow standard spelling and pronunciation rules. This makes it even more important for students to learn these words through direct and systematic instruction, as they can greatly impact their reading and writing abilities. By focusing on these high-frequency words, educators can help students build a strong foundation of vocabulary knowledge, which can lead to improved reading outcomes and success in school.

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Answer:

3/4

Step-by-step explanation:

The value of r and x in the common ratio of geometric progression is 5/3 and - 3/5

what is Geometric progression ?

Each succeeding term in a sequence known as a geometric progression (GP) is created by multiplying each term in the sequence before it by a fixed number known as a common ratio.

Solution;

we have two equations

r = 6/(3-x)----- [1]

r = (7-5x)/6----- [2]

6/(3-x) = (7-5x)/6

36 = 21 - 22x + 5x^2

5x^2 - 22x - 15 = 0

This can be factored as (5x+3)(x-5) = 0. The two solutions common ratio are x = -3/5, x = 5.

But, x=5 gives r<0, so we choose the 1st solution, x = -3/5.

Substitute in [1] to get he value for r:

r = 6/(3--3/5) = 6/(18/5) = 5/3.

Ans: r = 5/3, x = -3/5

Therefore, The value of r and x in the common ratio of geometric progression is 5/3 and - 3/5.

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