Find the value of x for g(x) = -x + 5 when g(x) = 2.

Answer: x= -1/2 y=3/4

Step-by-step explanation:

Answer:

x = -4y + 5/2

Step-by-step explanation:

step 1: 2x +8y + -8y = 5 + -8y

2x = -8y+ 5

step 2: divide both sides by 2

2x /2 = -8y+5/2

x= -4 + 5/2

Answer:

y = 8

Step-by-step explanation:

using the tangent ratio in the right triangle and tan45° = 1 , then

tan45° = \(\frac{opposite}{adjacent}\) = \(\frac{y}{8}\) = 1 , then

y = 8

Answer:

8

Step-by-step explanation:

See attached image.

This is the process of building a model that can be modified before the actual system is installed is B. Prototyping

The answer to the question is B. prototyping. Prototyping is the process of building a preliminary model of a system, which can be modified and improved upon before the final system is installed. This allows for errors to be identified and corrected early on in the process, reducing the risk of costly mistakes later. Prototyping is often used in software development and other types of system design, where it can be difficult to predict exactly how the system will function until it is actually built and tested. Systems analysis is a related process that involves studying existing systems to identify areas for improvement, while systems maintenance involves maintaining and updating existing systems to ensure that they continue to function properly. Overall, prototyping is an important tool for ensuring that complex systems are built correctly and meet the needs of their users.

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In a relation, where the input is the number of people and the output is the number of sweaters the anser to the question is  relation a function is C. No, because the same number of people might have a different number of sweaters.

A mathematical function is , rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Hence, from the question, we can see that the number of the people do not equate the number of sweaters. Therefore, option C is correct.

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Answer:

It's 5, or to find it, 3x =15

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

Answer:

Domain: {3, 6, 8, 9, 7}

Step-by-step explanation:

A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:

Domain: {3, 6, 8, 9, 7}.

The spares should be kept to maintain a 90% or more probability of system success is 35

Let λ be the normal number of component disappointments per year, at that point the disappointment rate (or rate parameter) is given by λ/52 since there are 52 weeks in a year. Let's signify this by μ = λ/52.

The framework victory likelihood can be modeled utilizing the Poisson dissemination since the disappointments happen haphazardly and freely over time. Let X be the number of component disappointments in a year, at that point X takes after a Poisson conveyance with cruel λ.

To preserve a 90% or more likelihood of system victory, we got to guarantee that the number of saves is adequate to cover at the slightest 90% of the potential disappointments. This implies that the likelihood of having more than k disappointments in a year ought to be less than or break even with 0.1, where k is the number of saves.

Let Y be the number of component disappointments amid the two-week conveyance time. At that point, Y too takes after a Poisson conveyance with cruel μ/26, since there are 26 weeks in a half-year (i.e., two quarters). The likelihood of having more than k disappointments amid the conveyance time is given by:

P(Y > k) = 1 - P(Y ≤ k) = 1 - ∑_\({i=0}^k (e^(-μ/26) (μ/26)^i\)/ i!)

where e is the base of the common logarithm.

To preserve a 90% or more likelihood of system victory, we ought to select k such that P(Y > k) ≤ 0.1. Able to solve for k numerically, employing a spreadsheet or a computer program.

For example, utilizing Microsoft Exceed expectations or Go-ogle Sheets, ready to utilize the taking after an equation to compute P(Y > k) for distinctive values of k:

=1-POISSON(k,μ/26,TRUE)

where POISSON is the Poisson total conveyance work, with the moment contention being the cruel and the third contention being Genuine to indicate an aggregate conveyance.

Beginning with k = 26 (i.e., one save per week), able to increment k until we discover the littlest esteem that fulfills P(Y > k) ≤ 0.1. In this case, we discover that k = 35 saves are required to preserve a 90% or more likelihood of framework victory. 

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The correct option regarding the hypothesis is that:

A. Reject H0. There is sufficient evidence to warrant rejection of the claim that homicides in a city are equally likely for each of the 12 months.

There is sufficient evidence to support the policecommissioner's claim that homicides occur more often in the summer when the weather is better.

The null hypothesis is that homicides in a city are equally likely for each of the 12 months. The alternative hypothesis is that homicides occur more often in the summer when the weather is better.

The test statistic is equal to 13.57.

The p-value is calculated using a chi-squared distribution with 11 degrees of freedom. The p-value is equal to 0.005.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis.

Therefore, there is sufficient evidence to support the police commissioner's claim that homicides occur more often in the summer when the weather is better.

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Answer:

1. False

2. False

3. True

Answer: 1. False 2. False 3. False

Step-by-step explanation:

All circles are similar Figures can be proven similar if one, or more, similarity transformations can be found that map one figure onto another. Consequently, a circle is defined by only one length - the radius.

Answer:

4x-3=-12 fasle

Step-by-step explanation:

Answer:

21N

Step-by-step explanation:

M. A = WORK OUTPUT ÷ WORK INPUT

Where M. A = 3.5 AND WORK OUTPUT = 75N

WORK INPUT = WORK(FORCE) OUTPUT ÷ M. A

= 75 ÷ 3.5 = 21.428

THEREFORE FORCE THE NUTCRACKER APPLIES TO THE WALNUT = 21.428 = Approx as 21N

Given: 75N force on nutcracker, 3.5 force on walnut

Using formula M. A = WORK OUTPUT ÷ WORK INPUT where M. A is not given W. O = 75N and W. I = 3.5N

75÷ 3.5 = 21N

The force the nutcracker applies to the walnut is approximately 262.5 N.

The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'. A force is exerted on one object by another. The idea of a force is not limited to living things or non-living things.

here, we have,

we know that,

Vectors can symbolize force because they have both magnitude (size or strength) and direction. Gravity, friction, tension, and normal force are all examples of ubiquitous forces. Newton's laws of motion, which relate an object's motion to the forces acting on it, can be used to explain the effects of forces.

In this case, the input force is the force applied to the nutcracker, and the output force is the force applied by the nutcracker to the walnut.

MA = output force/input force

Rearranging this equation, we get:

output force = MA x input force

Substituting the given values, we get:

output force = 3.5 x 75 N

output force = 262.5 N (rounded to one decimal place)

Therefore, the force the nutcracker applies to the walnut is approximately 262.5 N.

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The differential operator that annihilates e sin 2x is (A) (D+1)(D-2), the differential operator that annihilates 3et+2 cos x is (E) None of these, and the differential operator that annihilates 5+x+3e +xe is (C) D(D-2).

To find the differential operator that annihilates a given function, we need to apply the operator to the function and check if it evaluates to zero. For the function e sin 2x, applying the operator (D+1)(D-2) to it yields zero, indicating that this operator annihilates the function.

However, for the function 3et+2 cos x, none of the given options in (B), (C), (D), or (E) result in zero when applied to the function. Similarly, for the function 5+x+3e +xe, only the operator D(D-2) evaluates to zero, indicating that it is the differential operator that annihilates the function.

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Answer:

a) The Mean Value is 3.118

b) The Average Deviation from the Mean is 0.0416

c) The true standard deviation is approximately 0.0492

d) The standard error (deviation) of the mean, SEM is approximately 0.021982

e) The percentage error is approximately 0.751%

7. Part a;

The data set 'b' is more accurate

The set 'a' is more precise

Part b;

The number of significant figures used in reporting measured values is determined by number of digits that are actually known based on the measuring methods, with the inclusion of one more digit which is an approximation

Step-by-step explanation:

a) The given values of pi are;

3.14, 3.11, 3.20, 3.06, and 3.08

The number of data points, n = 5

Therefore, we have;

The mean, \(\bar x\) = (∑x)/n = (3.14 + 3.11 + 3.20 + 3.06 + 3.08)/5 = 3.118

b) The Average Deviation from the Mean, MAD, is given as follows;

\(\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \bar x \right |\)

Therefore, we get;

\(MAD =\dfrac{1}{5} \times (\left |3.14 - 3.118 \right | +\left |3.11 - 3.118 \right | + \left |3.20 - 3.118 \right | + \left |3.06 - 3.118 \right | + \left |3.08 - 3.118 \right |) =0.0416\)

The Average Deviation from the Mean = 0.0416

c) The true standard deviation, σ, is given as follows;

\(s =\sqrt{\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n}}\)

From MS Excel, we have;

\(\sum \left (x_i-\bar x \right )^{2}\)= 0.01208

∴ s = √((0.01208)/((5)) ≈ 0.0491528229 ≈ 0.0492

d) The standard error of the mean, SEM is given as follows;

SEM = s/√n

∴ SEM = 0.0491528229/√5 ≈ 0.02198181065 ≈ 0.021982

e) The percentage error = (The correct value - The mean value)/(The correct value) × 100

The given correct value = 3.14159

∴ The percentage error = ((3.14159 - 3.118)/3.14159) × 100 ≈ 0.751%

7. Part a;

The given Book value = 7.86 g/cm³

A precise data are data that are close to each other, while an accurate data has value that is close to the true value

The mean of the data set are;

Set a. μₐ = (7.72 + 7.74 + 7.73 + 7.75 + 7.74)/5 = 7.736

The difference from the true value = 7.86 - 7.736 = 0.124

Set b. \(\mu_b\) = (7.86 + 7.90 + 7.78 + 7.93 + 7.838)/5 = 7.8616

The difference from the true value = 7.86 - 7.8616 = -0.0016

Therefore, the data set 'b' is more accurate

The precision is given as follows;

The average deviation is found using the following formula;

\(\dfrac{1}{n} \times \sum \limits_{i = 1}^n \left |x_i - \mu \right |\)

The average deviation of set a = ((7.736 - 7.72) + (7.74 - 7.736) + (7.75 - 7.736) +(7.736 - 7.73) + (7.74 - 7.736))/5 = 0.0088

The precision of set a = 7.736 ± 0.008

The average deviation of set b = ((7.8616 - 7.86) + (7.90 - 7.8616) + (7.8616 - 7.78) + (7.93 - 7.8616) + (7.8616 - 7.838))/5 = 0.04272

The precision of set b = 7.8616 ± 0.04272

due to the closeness (smaller average deviation) of set 'a' than 'b', the set 'a' is more precise

Part b;

What determines the number of significant figures used in reporting measured values is determined by the number of significant figures that is known with confidence and an extra approximation or estimated last digit.

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 5+5=10 ... 10+10=20

5 x 4 = 20ù

Answer:

Step-by-step explanation:

hello :

cos66° = x/14

x= 14× cos66°

x= 14× 0.41

x=5.74

Answer:

Step-by-step explanation:

Given function:

Use identity:

We can see:

Apply:

Correct choice is D

\(\\ \tt\hookrightarrow f(x)=4x^2-12x+9\)

\(\\ \tt\hookrightarrow f(x)=2x^2-2(2x)(3)+3^2\)

\(\\ \tt\hookrightarrow f(x)=(2x-3)^2\)

The value of the composite function is (hog)(x) = 3x²- 13.

What is a composition function?

Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.

The functions are g(x)=x²-5 and h(x) = 3x + 2

The composition function (hog)(x) can be written as (hog)(x) =h(g(x))

Putting g(x)=x²-5 in (hog)(x) =h(g(x)):

(hog)(x) =h(x²-5)

Now putting x= (x²-5) in h(x) = 3x + 2:

h(x²-5) = 3(x² - 5) + 2

h(x²-5) = 3x² - 15 + 2

h(x²-5) = 3x² - 13

Therefore (hog)(x) = 3x² - 13.

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Answer:

2/3 bottle of car wax

Step-by-step explanation:

If Devon waxes 1/2 of his car with 1/3 bottle of car wax then he only has half of his car to finish. Since 1/2 of his car used 1/3 of wax then the other half will only take 1/3 of car wax.

Hope this helps!

Answer:

1/8 of a pound

Step-by-step explanation:

(3/4) ÷ 6 = .125 = 1/8

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

D

Step-by-step explanation:

find the following what?

Answer:

c. $13. 43

Step-by-step explanation:

Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).

The statement that is true about the number of hours of daylight is: "the number of hours of daylight varies depending on the latitude of the observer."

Hence, option (a) is the correct choice.

Day length will be roughly 12 hours at latitude 0° (the Equator). The Equator region has a steady 12 hour day light all year.

Day duration can be observed to extend to 24 hours or reduce to zero if latitude increases to 80° (polar circles - north or south) (depending on time of year).

The quantity of daylight received by an observer is determined by their latitude and the season.

The number of hours of daylight changes the greatest near the equator, whereas it varies the least towards higher latitudes.

The number of daylight hours covers the hours between dawn and twilight as well as the hours from sunrise to sunset.

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Answer: 33

Step-by-step explanation: I am too lazy to add this

For the probability distribution of a discrete random variable x, the sum of all values of x must be equal to 1.

We have,

The sum of all values of a discrete random variable x in its probability distribution should be equal to 1 because the probability distribution represents the likelihood of each possible value occurring.

In other words, the probabilities assigned to each value of x should account for all possible outcomes and collectively add up to the total probability of 1, which represents the certainty or 100% likelihood of an event occurring.

In a probability distribution, each value of x has an associated probability assigned to it.

These probabilities must satisfy two conditions: they must be non-negative (greater than or equal to 0) and their sum must be equal to 1. This ensures that the total probability accounts for all possible outcomes and covers the entire sample space.

By summing up the probabilities for all values of x in the probability distribution, we can verify if they add up to 1. If the sum is not equal to 1, it implies that there is an error in the probability distribution, and it needs to be adjusted to meet the requirement of a valid probability distribution.

Thus,

For the probability distribution of a discrete random variable x, the sum of all values of x must be equal to 1.

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The complete question:

For the probability distribution of a discrete random variable x, the sum of all values of x must be?

Answer:

\((2.7,-1.5)\)

Step-by-step explanation:

The points are \(A(-2.6,1.5), B(-2.6,3.3), C(2.7,3.3)\)

The fourth vertex will can be found by the points \(A\) and \(C\).

The angles between the sides of a rectangle are \(90^{\circ}\).

The \(x\) coordinate will be the same as \(C\) and the \(y\) coordinate will be the same as \(A\). The fourth verex is \(D\).

So, the fourth vertex of the rectangular piece will be \((2.7,-1.5)\).

Answer:

i saw someone else ask  this question i'm trying to remember the answer

Step-by-step explanation: