What is the HCF of 24,30,36

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17

Answer:

£ 305.4

Step-by-step explanation:

\(549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4\)

Answer:

See below

Step-by-step explanation:

Sarafina is p = 800w, $41,600

Li is p = 450w, $23,400

Erin is p = 600w, $31,200

The maximum point of a function found by solving f'(x) = 0

1.Y(x) = 900, if x ≤ 30

2.900 - 40(x - 30), if x > 30

3.T(x) = x × Y(x)

4.dT/dx = 900, if x < 30

5.2100x - 40x² if x > 30

6.The derivative dT/dx equals zero at x = 52.5, but it is not valid in the given context.

7.The maximum yield occurs at x = 30 trees per acre, with a maximum yield of 27,000 peaches per acre.

8.T(x) is differentiable at x = 30.

To find the function that describes the per-tree yield, Y, in terms of x, use the given information:

If there are 30 or fewer trees planted per acre (x ≤ 30), the per-tree yield is 900 peaches per tree.

If there are more than 30 trees planted per acre (x > 30), the per-tree yield decreases by 40 peaches for every extra tree planted beyond 30.

The function Y(x) as follows:

Y(x) = 900, if x ≤ 30

Y(x) = 900 - 40(x - 30), if x > 30

find the total yield per acre, T, that results from planting x trees per acre. The total yield is simply the per-tree yield (Y) multiplied by the number of trees per acre (x):

T(x) = x × Y(x)

differentiate T with respect to x (dT/dx) to find where the maximum yield occurs.

dT/dx = d/dx (x × Y(x))

dT/dx = d/dx (x × (900 - 40(x - 30)))

To find if this derivative ever equals zero, it to zero and solve for x:

0 = 900 - 40(x - 30)

40(x - 30) = 900

x - 30 = 22.5

x = 52.5

So, the derivative dT/dx equals zero at x = 52.5. However, we need to check whether this value is valid for our function. Recall that if x > 30, the per-tree yield decreases by 40 peaches for every extra tree planted beyond 30. Therefore, planting 52.5 trees per acre would result in a negative per-tree yield, which is not physically meaningful in this context. Thus, the maximum yield occurs at the critical point within the valid domain, which is x = 30.

Now, let's find the maximum value of the yield at x = 30:

T(30) = 30 ×Y(30) = 30 × 900 = 27,000 peaches per acre

The optimal value of x that maximizes the yield is 30 trees per acre, and the maximum yield is 27,000 peaches per acre.

Finally, let's determine if T(x) is differentiable when x equals 30. Since T(x) is a piecewise function, we need to check if the left and right-hand derivatives at x = 30 are the same.

Left-hand derivative (x < 30):

dT/dx = d/dx (x × 900) = 900

Right-hand derivative (x > 30):

dT/dx = d/dx (x × (900 - 40(x - 30))) = d/dx (x × (900 - 40x + 1200)) = d/dx (2100x - 40x²)

Now, evaluate the right-hand derivative at x = 30:

dT/dx = 2100(30) - 40(30)² = 63,000 - 36,000 = 27,000

Since the left-hand derivative and the right-hand derivative at x = 30 are equal (both are 27,000), T(x) is differentiable at x = 30.

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With a 95% probability, 62 students should be sampled to be within 0.25 drinks of the population mean.

\(\alpha\) is the level obtained by subtracting 1 from the confidence interval and dividing by 2.

So,

\(\alpha\) = (1 - 0.95) ÷ 2 = 0.25

Now, find z in the Z-table, as z has a p-value of 1 - \(\alpha\).

As a result, z has a p-value of (1 - 0.025) = 0.975

so, z  = 1.96

Now, infer M as follows:

M = z × (σ ÷ √n) where n is the sample size and is σ the population standard deviation.

When M = 1, this is n.

According to the question, the standard deviation is roughly 1.

σ = 1

M = z × (σ ÷ √n)

0. 25 = 1.96 × (1 ÷ √n)

√n = 1.96 × (1 ÷ √n)

Square both sides,

(√n)² = ((1.96 × 1) ÷ 0.25)²

n = (7.84)²

n = 61.4656

n ≈ 62

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Answer:

literally 0

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

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Answer:

Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Step-by-step explanation:

Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:

Hugo = Amiga de Nancy (no es Pamela) = Susan

Pamela = Sale antes que Manuel (no sale con Hugo) = Coco

Nancy = Manuel

Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

We need to know simple division to solve the problem. The maximum number of men in the lift is 8 and the maximum number of women in the lift is 10.

We will be using the simple concept of division to find the number of people that the lift can carry. The average weight of a man is given to be 84 kg and the average weight of  a woman is given to be 70kg. The lift can carry 720 kg, we will find separately the number of men and women that can be carried in the lift. Inorder to find the maximum number of men we divide the total weight the lift can carry by the average weight of a man, we will similarly calculate the maximum number of women.

number of men= 720/84=8.57 which means that the number of men is 8

number of women =720/70=10.28 which means that number of women is 10.

Therefore the lift can carry at most 8 men and at most 10 women.

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Answer:

45 cause any value inside mod function always return to postive

Answer:

  A.  80

Step-by-step explanation:

No math necessary. You know the brace needs to be longer than the distance between posts, so cannot be 4, 15, or 42 inches. The only answer choice longer than 64 inches is the correct one:

  80 inches

Answer:

I don't know

Step-by-step explanation:

ok k ggceyubvsxhik n

We have the next function

And we must find f(-2) and f(0.3)

To find f(-2) and f(0.3) we need to know that

We can see that we have a constant function because it has the next form

That means, for any value of x the function will always be equal to 4.

Using that, we obtain

ANSWER:

f(-2) = 4

f(0.3) = 4

See attachment for reply and answer.

which questions ..??????

Answer:

23

Step-by-step explanation:

To solve this question I have used some formula.

1. Formula to find the value of term

x + (term number - 1) × {(greater term number - smaller term number) ÷ (greater term containing value) - (smaller term containing value)}

2. Formula to find the value of x given in 1st formula

x = value containing by term - (term number - 1) × {(value containing by greater term - value containing smaller term) ÷ (6-4)}

Here greater term number means the value containing by the greater term. In this question greater term is 6 which contain a value in it that is 18. So, greater term number in this question is 18. So, smaller term number means the smaller term containing a value in it or the number containing by the greater term.

4th term = 8

To find the value of 7th term first we need to find the value of x.

              x = 8 - (4 - 1) × {(18 - 8) ÷ (6 - 4)}

              x = 8 - 3 × (10 ÷ 2)

              x = 8 - 3 × 5

              x = 8 - 15

              x = -7

Now, to check whether the value of x is -7, I have find the 4th term by replacing x with -7 in the 1st formula.

              = -7 + (4 - 1) × {(18 - 8)} ÷ (6 - 4)

              = -7 + 3 × (10 ÷ 2)

              = -7 + 3 × 5

              = -7 + 15

              = 8

Answer came 8 and its correct answer. So, the value of x is -7

I have also find the 6th term so you understand it more properly.

6th term = 18

              = -7 + (6 - 1) × [{(18 - 8)} ÷ (6 - 4)]

              = -7 + 5 × {(10 ÷ 2)}

              = -7 + 5 × 5

              = -7 + 25

              = 18

Answer of 6th term is also correct.

I think now you know how to find the 7th term.

7th term = -7 + (7 - 1) × {(18 - 8) ÷ (6 - 4)

              = -7 + 6 × (10 ÷ 2)

              = -7 + 6 × 5

              = -7 + 30

              = 23

If you think that I have made mistake anywhere or you did not understood my explanation than please ask me in comment or you can report this answer. But, before reporting please see carefully because, once any answer got reported you can't undo it.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am very nervous about my eligibility hearing. Can you explain the hearing process?

Your hearing will be with a minimum of three representatives from your WIAA District. There may

be more than three members of the Eligibility Committee present.

You should be present for the hearing, and you can bring any number of other people to represent

and support your appeal. The Eligibility Committee will review the eligibility packet you have

submitted, and they will then give you an opportunity to explain your unique circumstances and

hardship that have resulted in your request to appeal your eligibility. There will be an opportunity

for questions by everyone present.

The hearing will be tape recorded, but all information at the hearing is confidential.

A hearing will typically take 15 to 30 minutes depending upon the complexity of the information

involved in your appeal. All information shared during the hearing is confidential.

You will be notified of the results of your appeal following your hearing. A letter will be sent within

five school business days following the date of your hearing

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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Answer:

Linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

Step-by-step explanation:

If we have two linear functions f(x) and g(x) which are intersecting at a point (a,b), then equating both functions we get a linear equation as

\(f(x)=g(x)=y\)

On solving this linear equation we get the x-coordinate of the point of intersection, i.e., x=a.

After that, we need to substitute x=a in either f(x) or g(x) to get the y-coordinate of the point of intersection.

Therefore, the linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

0.2829

I think it would be thousandths I'm pretty sure :)

The value of C in the equation is C = (D - F)/(A - B).

We have,

We need to isolate the variable C on one side of the equation, which we can do by moving all the other terms to the other side:

So,

AC + F = BC + D

Subtract BC from both sides:

AC - BC + F = D

Factor out C on the left-hand side:

C(A - B) + F = D

Subtract F from both sides:

C(A - B) = D - F

Divide both sides by (A - B):

C = (D - F)/(A - B)

Therefore,

The value of C in the equation is C = (D - F)/(A - B)

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Based on the t-test assuming equal variances a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."

It is vital to establish whether or not the variances of the two groups being compared are indeed identical before performing a t-test under the assumption of equal variances. This is significant since the t-calculation statistic depends on the assumption that variances are equal.

One can look at the ratio of the variances between the two groups to evaluate the assumption of equal variances. Typically, it is acceptable to infer that the variances are not equal if the ratio of the variances is more than two or lower than half. One can presume that the variances are equal in the absence of such proof. Since the variances are not equal, it is not logical to infer that they are.

Complete and correct Question:

Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal?
a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal.
b. Whether the variances are equal or not is not relevant for this situation.
c. Examining the ratio of the variances, it is reasonable to conclude that the variances are equal.
d. It is impossible to determine if the variances are equal given the data we have.

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Answering the question, we may state that incorrect. In conclusion, none of the claims are true based function  on the facts provided.

Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.  

It is difficult to compare g(x) with f(x) and establish whether they are the same function or not since g(x) is not provided. Option 1 is thus incorrect.

Setting x = 0 and figuring out y will reveal the y-intercept of f(x). Hence, f(0) = 3(0) - 2 = -2. This indicates that f(xy-intercept )'s is -2. No details are provided on the y-intercept of g. (x).

It is impossible to tell if f(x) has a sharper slope than g because f(x) has a slope of 3 and g(xslope )'s is unknown (x). As a result, choice 4 is also incorrect.

In conclusion, none of the claims are true based on the facts provided.

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