2d + 3 when d =8 ​
im stuck on this question on a paper due monday!

Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

For similar question on functions.

https://brainly.com/question/29631554  

#SPJ8

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

Learn more about confidence interval here

brainly.com/question/24131141

#SPJ4

The solution of each part of the question is given below:

a. Let C be the event that a person smokes cigars, and let S be the event that a person smokes cigarettes. The percentage of Americans who smoke either cigars, cigarettes, or both can be calculated as P(C U S), where U represents the union of two events. From the given information, P(C) = 15% and P(S) = 35%. The probability that a person smokes both cigars and cigarettes is 7%, so P(C ∩ S) = 7%.

P(C U S) = P(C) + P(S) - P(C ∩ S)

P(C U S) = 15% + 35% - 7% = 43%

So, 43% of Americans smoke either cigars, cigarettes, or both.

b. The percentage of Americans who smoke neither cigars nor cigarettes can be calculated as P(C' ∩ S'), where C' represents the complement of event C (not smoking cigars) and S' represents the complement of event S (not smoking cigarettes).

P(C' ∩ S') = 100% - P(C U S)

P(C' ∩ S') = 100% - 43% = 57%

So, 57% of Americans smoke neither cigars nor cigarettes.

c. The percentage of Americans who smoke cigars but not cigarettes can be calculated as P(C ∩ S').

P(C ∩ S') = P(C) - P(C ∩ S)

P(C ∩ S') = 15% - 7% = 8%

So, 8% of Americans smoke cigars but not cigarettes.

d. The conditional probability that a person smokes cigarettes given that he smokes cigars can be calculated as P(S | C), where S represents the event that a person smokes cigarettes and C represents the event that a person smokes cigars.

P(S | C) = P(S ∩ C) / P(C)

P(S | C) = 7% / 15% = 0.47

So, the conditional probability that a randomly selected person smokes cigarettes given that he smokes cigars is 0.47, or 47%.

You can learn more about conditional probability at

https://brainly.com/question/23382435

#SPJ4

61 matchsticks need to make 20 squares.

Given,

From the figure,

Matchsticks are used to make the pattern.

To make these 4 squares, you need 13 matchsticks.

To find the how many matchsticks do you need to make 20 squares?

Now, According to the question:

Let the need matchsticks be 'n'

The number of the squares to make 1 square , you need 4 matchsticks,

and when you need to add one square, you need three more matchsticks .

So , we have to make  n no. of squares you need

4 + 3(n - 1) matchsticks     (n \(\geq\) )

= 4 + 3n - 3

= 1 + 3n

When, n = 20

1 + 3 x 20

= 61

Hence, 61 matchsticks need to make 20 squares.

Learn more about Matchsticks Squares at:

https://brainly.com/question/583375

#SPJ1

The answer is False.

What is Probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.

The meaning of probability is basically the extent to which something is likely to happen. This is a basic theory of probability that is also used in probability distributions, where you learn the possibilities of outcomes for a random experiment.

To find the probability of a single event occurring, we should first know the total number of possible outcomes.

We can use the central limit theorem to approximate the distribution of the sample mean as normal, with a mean of μ = 70 and a standard deviation of σ/√n = 10/√4 = 5. Therefore, we need to find the probability of obtaining a sample mean greater than 65:

Z = (x - μ) / (σ/√n) = (65 - 70) / (5/2) = -2

Using a standard normal distribution table or calculator, we can find that the probability of obtaining a Z-score of -2 or less is approximately 0.0228.

Therefore, the probability of obtaining a sample mean greater than 65 is 1 - 0.0228 = 0.9772, which is not equal to 0.8413. So the statement is false.

To learn more about Probability from the given link.

https://brainly.com/question/13604758

#SPJ4

The expression (√z√y√x)^8 is simplified to zyx

Square root of a number can be defined as a value, which by multiplying itself, gives the original number.

It is represented with the symbol " √ ".

The square root of a number is the direct opposite of squaring a number.

Given the expression;

Find the square root of z

\({\sqrt{z\sqrt{y\sqrt{x} } }}^8\)

Square root can be expressed as the power of 1/2

Then, we have'

\(z\sqrt{y\sqrt{x} } ^ 4\)

Find the square root of y

\((zy\sqrt{x} )^2\)

Find the square root of x

zyz

Hence, the expression is xyz

Learn more about square root here:

https://brainly.com/question/428672

#SPJ1

Answer:

$545

Step-by-step explanation:

Answer:

nah and yall kids stop looking on here to cheat ronnie wilson

Step-by-step explanation:

Answer:

  (x, y) = (1, -6)

Step-by-step explanation:

The expression for y given by the first equation can be substituted into the second equation.

  11x +(-8x +2) = 5 . . . substitute for y

  3x +2 = 5 . . . . . . . simplify

  3x = 3 . . . . . . . . . subtract 2

  x = 1 . . . . . . . . . divide by 3

  y = -8×1 +2 = -6 . . . . use the first equation to find y

The solution is (x, y) = (1, -6).

To ensure success in building customer relationships, the Marriott group of hotels requires its employees to have a customer-oriented attitude and take customer-oriented actions.

The success of the Marriott group of hotels in building relationships with customers relies on the attitudes and actions of its employees. A customer-oriented approach is crucial for fostering positive interactions and creating memorable experiences for guests. Employees with a customer-oriented attitude prioritize the needs and satisfaction of customers above all else. They actively listen to guests, show empathy, and strive to exceed expectations. Additionally, taking customer-oriented actions involves going the extra mile to personalize service, addressing individual preferences and requirements. This includes anticipating and fulfilling customer needs, providing timely and accurate information, and resolving issues promptly and efficiently. By being customer-oriented in both attitude and action, Marriott employees can enhance guest satisfaction, foster loyalty, and ultimately contribute to the overall success of the hotel group.

Learn more about accurate here: https://brainly.com/question/12740770

#SPJ11

Based on the given information, Jack is 28 years old and Matt is 62 years old.

Let's denote Jack's age as J and Matt's age as M. We can translate the given information into equations to solve for their ages.

According to fact (1), we know that Matt is 6 years older than twice Jack's age:

M = 2J + 6

Fact (2) states that the sum of their ages is 90:

J + M = 90

To solve this system of equations, we can substitute the expression for M from fact (1) into fact (2) and solve for J:

J + (2J + 6) = 90

3J + 6 = 90

3J = 90 - 6

3J = 84

J = 84/3

J = 28

Substituting the value of J back into fact (1), we can find Matt's age:

M = 2J + 6

M = 2(28) + 6

M = 56 + 6

M = 62

Therefore, Jack is 28 years old, and Matt is 62 years old. These values satisfy both facts (1) and (2).

For more such questions on years visit:

https://brainly.com/question/30613029

#SPJ8

Answer:

- 40

Step-by-step explanation:

The absolute value always returns a positive value , that is

- | - 40 | = - | 40 | = - 40

Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as:  \(A1=\frac{(base)(height)}{2}\)

Area of a rectangle is calculated as: \(A2=(side)(side)\)

Area of a right trapezoid is: \(A3=\frac{(a+b)h}{2}\), where:

a is short base

b is long base

h is height

1) Expressing areas in terms of x:

Area of triangle S1:

\(S1=\frac{(2x-3)(4x-6)}{2}\)

\(S1=4x^{2}-12x+9\)

Area of rectangle S2:

\(S2 = (4x-6)(3x-2)\)

\(S2=12x^{2}-26x+12\)

Area of trapezoid S3:

\(S3=\frac{(2x+3+4x+1)(2x-3)}{2}\)

\(S3=\frac{(6x+4)(2x-3)}{2}\)

\(S3=6x^{2}-5x-6\)

2) a) \(S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)\)

\(S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6\)

\(S=10x^{2}-33x+37\)

Which is the same as S = (2x-3)(5x-9)

b) For the areas to be the same:

\(\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}\)

\(\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}\)

\(32x^{2}-48x-28x+42=12x^{2}+8x-18x-12\)

\(20x^{2}-66x+54=0\)

Using Bhaskara to solve the second degree equation:

\(\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}\)

\(x_{1}=\frac{66+6}{40}\) = 1.8

\(x_{2}=\frac{66-6}{40}\) = 1.5

For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.

c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:

\(S=(2x-3)(5x-9)\)

\(S=10x^{2}-18x-15x+27\) (expand)

\(S=10x^{2}-33x+27\) (reduce)

d) For area of AFCG to be bigger than area of ADEB by 27:

\(32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27\)

\(32x^{2}-48x-28x+42=12x^{2}+8x-18x+15\)

\(20x^{2}-66x+27=0\)

Solving:

\(\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}\)

\(\frac{66+46.86}{40}\)

\(x_{1}=\frac{66+46.86}{40}=\) 2.82

\(x_{2}=\frac{66-46.86}{40}\) = 0.48

According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82

Answer: (-1, -4)

Step-by-step explanation: It's in the 3rd quadrant where all the x, y is negative. Therefore, x-axis goes first to left and then y-axis goes down whereas point J is (-1, -4). The x-coordinate of point J is -1 because it's (x, y) format. Hope this helped! =)

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Half of the possibilities include 1 even number

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

9.x=8tan51

10.x=31sin24

side opposite of mentioned angle is opposite

longest side in triangle is hypotenuse

the side subtended by the angle is the adjacent

The transitive closures for the given relations are:

a. \( \{(a, c), (b, d), (c, a), (d, b), (e, d), (c, c), (d, d), (e, b)\} \)

b. \( \{(b, c), (b, e), (c, e), (d, a), (e, b), (e, c)\} \)

To find the transitive closure of a given relation, we need to determine all possible pairs that can be reached through a series of intermediate pairs. Let's calculate the transitive closures for the given relations:

a. \( \{(a, c),(b, d),(c, a),(d, b),(e, d)\} \)

To find the transitive closure, we need to identify all pairs that can be reached from the given pairs through a sequence of intermediate pairs. Let's analyze the given pairs:

- (a, c): No additional pairs can be formed from this pair.

- (b, d): No additional pairs can be formed from this pair.

- (c, a): This pair allows us to form the pair (c, c), which means c can reach itself.

- (d, b): This pair allows us to form the pair (d, d), which means d can reach itself.

- (e, d): This pair allows us to form the pair (e, b) because (e, d) and (d, b) are present.

After considering all the pairs, we have the following transitive closure:

\( \{(a, c), (b, d), (c, a), (d, b), (e, d), (c, c), (d, d), (e, b)\} \)

b. \( \{(b, c),(b, e),(c, e),(d, a),(e, b),(e, c)\} \)

Let's analyze the given pairs to determine the transitive closure:

- (b, c): No additional pairs can be formed from this pair.

- (b, e): This pair allows us to form the pair (b, c) because (b, e) and (e, c) are present.

- (c, e): No additional pairs can be formed from this pair.

- (d, a): No additional pairs can be formed from this pair.

- (e, b): This pair allows us to form the pair (e, c) because (e, b) and (b, c) are present.

- (e, c): No additional pairs can be formed from this pair.

After considering all the pairs, we have the following transitive closure:

\( \{(b, c), (b, e), (c, e), (d, a), (e, b), (e, c)\} \)

Therefore, the transitive closures for the given relations are:

a. \( \{(a, c), (b, d), (c, a), (d, b), (e, d), (c, c), (d, d), (e, b)\} \)

b. \( \{(b, c), (b, e), (c, e), (d, a), (e, b), (e, c)\} \)

Learn more about transitive closures here:

brainly.com/question/30105699

#SPJ11

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

Learn more about equalize here:

https://brainly.com/question/33293967

#SPJ11

Answer:

z=64 degrees

Step-by-step explanation:

angle N add up to 56 (31+25)

angle m is 60 degrees

angle z must be 64 degrees because N+M+Z must add up to 180 degrees

so 56+60+Z=180

Z=64 degrees

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

The value for the blanks after calculating the as per the given data is found to be as 4 and 9 respectively.

On solving the question we will get the answer of the final blank as 0.

The question can be rephrased as ,

__x 9 - __ x 4 = ___ - ___ = ___.

Now if we will place 4 in first blank and 9 in second blank we will get the result as follows,

4 x 9 - 9 x 4 = 36 - 36 = 0

Therefore , we will get our desired answer.

A relationship between two quantities or, more broadly, two mathematical expressions that asserts that the quantities have the same value or that the expressions reflect the same mathematical object is referred to as equality.

To learn more about equality

brainly.com/question/12323068

#SPJ4

Step-by-step explanation:

Change 27 to 3^3, and change 9 to 3^2 to get:

\( { ({3}^{3} )}^{x} = { ({3}^{2}) }^{x - 4} \)

Multiply the exponents according to exponential rules:

\( {3}^{(3x)} = {3}^{(2x - 8)} \)

Same bases, so set exponents equal to each other:

\(3x = 2x - 8\)

Subtract 2x on both sides to get:

\(x = - 8\)

Answer:

mean is 3 median is 3 and mode is also 3

Step-by-step explanation:

brainliest helps

A) It is the reflection of the letter Z

Answer: 75%

Step-by-step explanation: It is 75%!!!!!!