if you have 256 donuts and you need to give ur 5 freinds the same amount of donuts how many donuts does each freind get

Given :

7x is an odd integer.

To Find :

The next odd integer as an algebraic expression in x.

Solution :

All positive integers are :

1 , 2 , 3 , 4 , 5 , ......

From the above series we noticed that every other odd number is 2 more than the previous one.

So , 7x is an odd number.

Therefore, next odd number is 7x + 2.

Hence, this is the required solution.

Answer:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Step-by-step explanation:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Answer:

t+12

Step-by-step explanation:

brainliest por favor ❤❤

Answer:

t+12

Step-by-step explanation:

12 meters longer means that you're adding meters onto the throw. Hope that helps :)

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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The base and altitude of the triangular plot are \(42m\) and \(21m\) respectively.

The perimeter of the square plot having the same area as the triangular plot is \(84m\)

a) Calculate the base and altitude of the triangular plot

The relationship between the Total cost of leveling the triangular plot, the cost per unit area, and the area of the triangular plot is

\(\text{unit cost}=\frac{\text{total cost}}{\text{area}}\\\\\text{area}=\frac{\text{total cost}}{\text{unit cost}}\\\\=\frac{\text{11025Rs.}\rupee}{25Rs./m^2}=441m^2\)

The formula for calculating the area of a triangle, given the base and altitude is

\(\text{area of triangle}=\frac{1}{2}\text{base}\times\text{altitude}\)

From the question

\(\text{base}=2\times\text{altitude}\)

so

\(\text{area of triangle}=\frac{1}{2}\times 2\times\text{altitude}\times\text{altitude}\\\\\text{area of triangle}=\text{altitude}^2\\441=\text{altitude}^2\\\text{altitude}=\sqrt{441}=21m\)

from this we can get the base

\(\text{base}=2\times\text{altitude}\\=2\times21m=42m\)

b) Calculate the perimeter of a square plot having the same area

Since we found the area of the triangular plot to be \(441m^2\), we will use this value for the area of the square plot, so that we can obtain the side

\(\text{area of square plot}=side^2\\441=side^2\\\sqrt{441}=side=21m\)

Hence, the perimeter is equal to

\(perimeter=4\times side\\=4\times21=84m\)

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Answer:

45

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\text{Guide to follow:}\)

\(\large\text{The word \boxed{\rm{difference}} means subtraction/subtract.}\)

\(\large\text{The word \boxed{\rm{product}} means addition/add.}\)

\(\large\text{The word \boxed{\rm{quotient}} means division/divide.}\)

\(\large\text{The word \boxed{\rm{product}} means multiplication/multiply.}\)

\(\large\text{Also guide to follow:}\)

\(\large\text{2 negatives gives you a positive}\)

\(\large\text{2 positives gives you a positive as well}\)

\(\large\text{1 negative \& 1 positive gives you a negative}\)

\(\large\text{1 positive \& 1 negative gives you a negative as well}\)

\(\large\textsf{So, in this particular question we're doing multiplication because the}\\\large\textsf{key term in the word phrase is \boxed{\textsf{product}}. }\)

\(\large\text{Now, that we have that information out of the way we can answer}\\\large\text{your given question.}\)

\(\large\text{The product of }\large\text{-15 and -3 is translated to \boxed{\rm{-}\large\text{15 }\times\ -\large\text{3}}}\)

\(\large\text{Equation: }\rm{-15\times-3}\)

\(\large\text{Simplify the equation we have gathered above and you should have}\\\large\text{pverall answer.}\)

\(\large\text{We have received was 45}\)

\(\huge\text{Therefore, your answer should be \boxed{\mathsf{45}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

UW = 5

Step-by-step explanation:

use the altitude rule and set up a proportion:

4/UW = UW/6.25

cross-multiply:

UW² = 25

UW = \(\sqrt{25}\)

UW = 5

In the number of legs in a barn with cows and chickens is 16 more than twice the number of heads, the number of cows in the barn is 8.

The given problem states that in a barn with cows and chickens, the number of legs is 16 more than twice the number of heads. We need to determine the number of cows in the barn.

Let's solve this problem step by step:

1. Let's assume the number of cows in the barn as 'c' and the number of chickens as 'h'.

2. Each cow has 4 legs, so the total number of legs contributed by the cows would be 4c.

3. Each chicken has 2 legs, so the total number of legs contributed by the chickens would be 2h.

4. The total number of heads would be c (number of cows) + h (number of chickens).

5. According to the problem, the number of legs is 16 more than twice the number of heads. Mathematically, this can be written as: 4c + 2h = 2(c + h) + 16.

6. Simplifying the equation: 4c + 2h = 2c + 2h + 16.

7. Subtracting 2h from both sides of the equation: 4c = 2c + 16.

8. Subtracting 2c from both sides of the equation: 2c = 16.

9. Dividing both sides of the equation by 2: c = 8.

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The set n represents all the possibilities for the number of days in a month of the year. We need to find n(M) using roster notation, which means listing out the elements of the set M.

To determine n(M), we need to identify the set M, which represents the number of days in a month. In the Gregorian calendar system, the possible values for the number of days in a month range from 28 to 31.

Using roster notation, we can list out the elements of the set M:

M = {28, 29, 30, 31}

Thus, n(M) represents the number of elements in set M, which is 4. Therefore, n(M) = 4, indicating that there are four possibilities for the number of days in a month of the year according to the Gregorian calendar system.

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Answer:

(1,3)

Hope this helps! :)

The value of the sum of squares due to regression is 18.43.

Given the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89.

A common measure used in regression analysis is the sum of squares total (SST). The square of each difference is added to the sum of squares to obtain the squared disparities between individual data points and their mean. The variance is calculated using the sum of squares, which is also used to assess how well a regression curve fits the data.

We will use the total sum of squares (SST) is given as the summation of the sum of squares due to regression (SSR) and sum of squares error (SSE);

SST = SSR + SSE

Here, SST=25.32 and SSE=6.89

Substitute the values in the formula, we get

25.32=SSR+6.89

Now, we will subtract 6.89 from both sides, we get

25.32-6.89=SSR+6.89-6.89

18.43=SSR

Hence, the value of the sum of squares due to regression (SSR) when the total sum of squares (SST) is 25.32 and the sum of squares due to error (SSE) is 6.89 is 18.43.

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Answer:

178

Step-by-step explanation:

3/5 = .60, 445 x 0.60 = 267, 450 - 267 =  178

Given:

The figure of a triangle.

To find:

The exterior angle of the triangle m∠NPI.

Solution:

According to the exterior angle theorem, value of exterior angle of a triangle is equal to the sum of the opposite interior angles.

Using the exterior angle theorem, we get

\(m\angle NPI=65^\circ+78^\circ\)

\(m\angle NPI=143^\circ\)

Therefore, the measure of angle NPI is 143 degrees.

Given a utility function U(x, y) = x + y and the information that Pₓy (the cross-price elasticity of demand between x and y) is known, we can consumer. determine the quantity demanded for y* by examining the preferences of the

Since x and y are perfect substitutes, the consumer's utility function U(x, y) = x + y implies that the consumer derives equal satisfaction from consuming one unit of x or one unit of y. In this case, the consumer's preferences are not influenced by the relative prices of x and y.

The cross-price elasticity of demand, Pₓy, measures the responsiveness of the quantity demanded of x to a change in the price of y. However, since the goods x and y are perfect substitutes, the cross-price elasticity of demand between them will be infinite.

As a result, changes in the price of y will not affect the quantity demanded of y. The consumer will always demand the same quantity of y, regardless of its price. Therefore, the quantity demanded for y*, given the specified utility function and the information provided, is constant and independent of price.

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The horizontal asymptote of function f(x) is y=6.5, which is a straight line, which means that even if time is infinite, the pH of the mouth will not rise above 6.5, which is the normal pH of the mouth.

A function's horizontal asymptote is a horizontal line with which the function's graph appears to coincide but does not actually coincide. The horizontal asymptote is used to determine the behavior of the function.

When either lim x f(x) = k or lim x - f(x) = k, the horizontal asymptote of a function y = f(x) is a line y = k. . It is commonly abbreviated as HA. In this case, k is a real number that the function approaches when x is extremely large or extremely small.However, the maximum number of asymptotes that a function can have is 2.

Given,

\(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\)

The horizontal asymptote of the function f(x) can be determined by

\(y=\lim_{x \to \infty} f(x)\\\\=\lim_{x \to \infty}\frac{6.5x^2-89.4x+3734}{x^2+576}\\\\=\lim_{x \to \infty}\frac{x^2(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{x^2(1+\frac{576}{x^2})}\\\\=\lim_{x \to \infty}\frac{(6.5-\frac{89.4}{x}+\frac{3734}{x^2})}{(1+\frac{576}{x^2})}\\\\=\frac{(6.5-\frac{89.4}{ \infty}+\frac{3734}{ \infty})}{(1+\frac{576}{ \infty})}\\\\=\frac{6.5-0+0}{1+0}\\\\=\frac{6.5}{1}=6.5\)

Thus, the horizontal asymptote of function f(x) is y=6.5 which is straight line which means even the time reaches infinity the pH of mouth will not increase more than 6.5, which is the normal pH of mouth.

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Your question is incomplete, here is the complete question.

The function \(f(x)=\frac{6.5x^2-89.4x+3734}{x^2+576}\) models the pH level f(x) of a mouth x minutes after eating food containing sugar. The graph of this function is shown.

What is the equation is the horizontal asymptote associated with is function? Describe what this means in terms of mouth's pH level over time.

To write the form of the partial fraction decomposition of the given rational expressions, we need to express them as a sum of simpler fractions. The general form of a partial fraction decomposition is:

f(x) = A/(x-a) + B/(x-b) + C/(x-c) + ...

where A, B, C, etc., are constants and a, b, c, etc., are distinct linear factors in the denominator.

For the rational expression x^2 - 7x:

The denominator has two distinct linear factors: x and (x - 7). Therefore, the partial fraction decomposition form is:

(x^2 - 7x)/(x(x - 7)) = A/x + B/(x - 7)

For the rational expression 6x + 5 / (x + 8):

The denominator has one linear factor: (x + 8). Therefore, the partial fraction decomposition form is:

(6x + 5)/(x + 8) = A/(x + 8)

For the rational expression 20 - 3 / (4x + 3):

The denominator has one linear factor: (4x + 3). Therefore, the partial fraction decomposition form is:

(20 - 3)/(4x + 3) = A/(4x + 3)

In each case, we write the partial fraction decomposition form by expressing the given rational expression as a sum of fractions with simpler denominators. Note that we have not solved for the constants A, B, C, etc., as requested.

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An expression has numbers, variables, and mathematical operations. The expression that represents the profit made by the organization is 5x-200.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the profit is the difference between the revenue and cost. Therefore, the expression that represents the profit can be written as,

\(\rm Profit = Revenue - Cost\)

        \(= (3x^2+4x-60)-(3x^2-x+200)\\\\= 3x^2+4x-60-3x^2+x-200\\\\=5x-260\)

Thus, the expression that represents the profit made by the organization is 5x-200.

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Answer:

125 i think

Step-by-step explanation:

Multiply 4x4=8 from the square then multiply 13 x 9= 117 then add 8+117 you will get 125

Answer:

thx for the points and happy thanksgiving

Step-by-step explanation:

have a great night/morning

i love food,do u?

Answer:

Dimensions of 1st rectangle,

length = 39 cm, width = 21 cm.

Dimensions of the 2nd rectangle,

length = 78 cm, width = 7 cm.

Step-by-step explanation:

Let the dimensions of the 1st rectangle be,

Length = x, width = y

so the dimensions of the 2nd rectangle becomes,

Length = 2x, width = y/3

perimeter of the first rectangle,

2(x+y)=120 --------- (i)

perimeter of the 2nd rectangle,

2(2x+y/3)=170 ---------(ii)

if we solve equation (i) and (ii), we'll get,

x = 39

y = 21

for the other rectangle, 2x = 78, y/3 = 7.

Answered by GAUTHMATH

Skydiver should wait 23.04 sec before pulling the cord, after freefall.

what is freefall?

Height of jump = 13500ft

Height from which cord will be pulled = 5000ft

Freefall, d=13500-5000 =8500ft

Distance traveled during freefall, d=16t²

substituting values, we get,

8500=16t²

t=23.04 sec

Skydiver should wait 23.04 sec before pulling the cord, after freefall.

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The logarithmic expression log7 18 is equivalent to log 18 / log 7 using the change-base formula.

The change-base formula states that the logarithm of a number to a certain base can be converted to the logarithm of the same number to a different base by dividing the logarithm of the number to the first base by the logarithm of the number to the second base.

In this case, we want to convert log7 18 to a logarithm with base 10. Therefore, using the change-base formula, we can write:

log7 18 = log 18 / log 7

Using a calculator, we can evaluate the right-hand side of the equation to get:

log7 18 = 1.2553 / 0.8451

log7 18 = 1.4845 (rounded to four decimal places)

Therefore, the logarithmic expression log7 18 is equivalent to log 18 / log 7, which is approximately equal to 1.4845.

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Answer:

a. 1ab (4 -28+7)

b 2(a² - 183²)

c. cde(12-9-8+6)

d ab(a+b +2 -2-2 -3)

e 5(1- 9a²)

f py- 2p - qz -qy

pqy (1 - 2 -z -1)

Answer:

32cm^3

Step-by-step explanation:

(4/3)*3*(2)^3=32

Answer:

Layout B

Explanation:

Since Shinji needs to put a length of fence around whichever layout he chooses, we find the perimeter of each of the figures.

Figure A

The vertices are P(-9,8), Q(-4,9), R(-1,-6) and S(-6,-7).

We use the distance formula to find the length of each of the sides.

Similarly:

Therefore, the perimeter of Figure A will be:

Figure B

• 9-2 = 7 units

• 8-(-3)=8+3 = 11 units

The dimension of Figure B is 7 units by 11 units.

Therefore, the perimeter of Figure B is:

The layout in Figure B has a lower perimeter, therefore it will need less fencing.

A. If f(c) is a local maximum of a continuous function f on an open interval (a, b), then f(c) > 0. It cannot be justified that f(c) must be greater than 0 when f(c) is a local maximum of a continuous function on an open interval (a, b).

B. Let's prove that if f(c) is a local maximum of a continuous function f on an open interval (a, b), then f(c) > 0. Consider the following proof:

The definition of the local maximum of a continuous function states that there exists an open interval around c such that f(c) is the largest value of the function within that interval. Suppose we take a small positive number ε such that f(c+ε) and f(c-ε) exist.

Since c is a local maximum, f(c+ε) ≤ f(c) and f(c-ε) ≤ f(c). Since f is continuous on the open interval (a, b), f is also continuous at c. That means, we can take the limit of f(x) as x approaches c from either direction. So, we have:

limx→c f(x) = f(c) = max{f(c+ε), f(c−ε)} (1)

Since the limit exists, we know that f(x) can be arbitrarily close to f(c). In other words, there exists a positive number δ such that |f(x)−f(c)| < ε for all x in the interval (c−δ, c+δ).

Now, let's consider the inequalities:

f(c)−f(c+ε) > 0 and f(c)−f(c−ε) > 0

Combining these two inequalities, we get:

f(c)−f(c+ε) > 0 > f(c)−f(c−ε)

Adding f(c) to both sides, we get:

f(c) > f(c+ε) and f(c) > f(c−ε)

This implies that f(c) is not a local maximum, which is a contradiction. Hence, it must be the case that f(c) > 0, which completes the proof.

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