Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?

\( = \frac{ - 3}{4} (p) - \frac{3}{4} ( - 12) + 2(8) + 2( - \frac{1}{4} p) \\ = - \frac{3}{4} p + 9 + 16 - \frac{2}{4} p \\ \\ = - \frac{3}{4} p - \frac{2}{4}p + 9 + 16 \\ = - \frac{5}{4} p + 25\)

ATTACHED IS THE SOLUTION

Answer:

\(-1\frac{1}{4}+25\)

Step-by-step explanation:

first distribute

(-3/4)(p) -(-3/4)(12)

-3/4p+36/4

-3/4p+9

2(8) - 2(1/4p)

16-2/4p

-3/4p+9+16-2/4p

Combines like terms

-5/4p+25

\(-1\frac{1}{4}+25\)

Hopes this helps please mark brainliest

Looking at the right triangle that has been shown here, the statements that are not true are; ABC .

A right triangle is a particular kind of triangle with a right angle, which is an angle that measures 90 degrees. The other two angles in a right triangle are acute, which means that they have a degree value below 90. The hypotenuse is the side that forms the right angle; the legs are the other two sides.

The length of the hypotenuse squared in a right triangle is equal to one leg's squared length plus the other leg's squared length. The Pythagorean theorem, which refers to this relationship, is a cornerstone of geometry.

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The problem is asking for the sum of 2 1/18 and 4 3/4.

To find the sum, we need to add the whole numbers and fractions separately.

Starting with the whole numbers, we have 2 and 4. Adding them together gives us 6.

Now let's focus on the fractions. We have 1/18 and 3/4.

To add fractions, we need a common denominator. In this case, we can use 18 as the common denominator.

To convert 1/18 into a fraction with a denominator of 18, we need to multiply the numerator and denominator by 18. This gives us 18/18.

Now we can add the fractions: 18/18 + 3/4.

Since the denominators are the same, we can simply add the numerators together: 18 + 3 = 21.

So the sum of the fractions is 21/18.

Finally, we can add the whole numbers and fractions together:

6 + 21/18.

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 3.

Dividing 21 by 3 gives us 7, and dividing 18 by 3 gives us 6.

So the simplified fraction is 7/6.

Therefore, the sum of 2 1/18 and 4 3/4 is 6 7/6.

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The values of the conditional probabilities are

From the question, we have the following parameters that can be used in our computation:

Pennies = 15

Nickels = 28

Dimes = 12

Quarters = 20

So, we have the probability formula to be

P(Quarters | Not a penny) = (Quarter and not a penny)/Not a penny

This gives

P(Quarters | Not a penny) =  20/(28 + 12 + 20)

Evaluate

P(Quarters | Not a penny) =  1/3 = 0.33 = 33.33%

Next, we have

P(Dime| Not a nickel) =  12/(15 + 12 + 20)

Evaluate

P(Dime| Not a nickel) =  12/47 = 0.2553 = 25.53%

Lastly, we have

P(Not a quarter| Not a dime) =  (15 + 28)/(15 + 28 + 20)

Evaluate

P(Not a quarter| Not a dime) =  43/63 = 0.6825 = 68,25%

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Answer:

x = 2\(\sqrt{5}\)

Step-by-step explanation:

The radius of the circle = 4 + 2 = 6

Thus the radius is from the centre to the top of segment x

Using Pythagoras' identity in the right triangle formed, that is

x² + 4² = 6²

x² + 16 = 36 ( subtract 16 from both sides )

x² = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = 2\(\sqrt{5}\)

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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the formula to get the expected value is

So, first we calculate teh probabilities. We have 20 bills in total. so we divide the quantity of bills of each value by the total:

we have 8 ones: 8/20= 2/5

5 fives: 5/20=1/4

4 tens: 4/20= 1/5

3 twenties = 3/20

now, we multiply each value with te probabilitiy of picking it and add all

the expected value is 4.1

Answer:

I believe because everything adds to 180

Answer:

360

Step-by-step explanation:

The sum of all angle measures in any quadrilateral is 360 degrees.

Given that

\(\[\vec{v}=\begin{bmatrix} 8 \\ 2 \\ 3 \\ 0 \end{bmatrix}\]\)

And the subspace W spanned by

\(\[ \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\), \(\begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix}\]\)

To find the orthogonal projection of \(\[\vec{v}\]\) onto the subspace W of \(\[\mathbb{R}^{4}\]\) spanned by the above two vectors,

first we need to check if the given two vectors form a basis for the subspace W or not.To check whether the given two vectors form a basis for the subspace W, we can arrange the two given vectors in a matrix form and find its rank.Let

\(\[A = \begin{bmatrix} 1 & 1 \\ 1 & 1 \\ 1 & -1 \\ 1 & -1 \end{bmatrix}\]\)

Then by calculating its row reduced echelon form, we have

\(\[\begin{bmatrix} 1 & 1 \\ 0 & 0 \\ 0 & 0 \\ 0 & 0 \end{bmatrix}\]\)

Hence, the rank of the matrix is 1 and therefore the dimension of the subspace is 1. Thus the given two vectors do not form a basis for the subspace W.

To find a basis for the subspace W, we can take the first vector as it is,

\(\[u_1 = \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \\\end{bmatrix}\\\[u_2 = \begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix}\\\]\\\\\\\u_1 - \frac{u_1^Tu_2}{u_2^Tu_2}\\\u_2 = \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix} - \frac{2}{4}\begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix} = \begin{bmatrix} \frac{1}{2} \\ \frac{1}{2} \\ \frac{3}{2} \\ \frac{3}{2} \end{bmatrix}\]\)

and subtract its projection along the second vector.

Therefore, the orthogonal projection of \(\[\vec{v}\]\) onto the subspace W of \(\[\mathbb{R}^{4}\]\)spanned by

\(\[ \begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} 1 \\ 1 \\ -1 \\ -1 \end{bmatrix}\]\)

is given by

\(\[\frac{(\vec{v} \cdot u_1)}{(u_1 \cdot u_1)}u_1 = \frac{13}{4}\begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\]\)

Thus, the required orthogonal projection of \(\[\vec{v}\]\) onto the subspace W is \(\[\frac{13}{4}\begin{bmatrix} 1 \\ 1 \\ 1 \\ 1 \end{bmatrix}\]\).

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Answer:

let y be the total number of students.

y×40/100=18

18×100/40=y

45=y

Answer:

The correct option is;

\(8.3 = -0.5 \times \left | x -5 \right | + 9\)

Step-by-step explanation:

The coordinates of the roof are;

Starting point, = (1, 7)

Maximum height = (5, 9)

Maximum range = (9, 7)

The slope of the left portion of the roof = (9 - 7)/(5 - 1) = 0.5

The equation of the left portion of the roof is given as follows;

y - 9 = 0.5 × (x - 5)

y = 0.5 × (x - 5) + 9

The slope of the right portion of the roof = (7 - 9)/(9 - 5) = -0.5

The equation of the right portion of the roof is given as follows;

y - 9 = -0.5 × (x - 5)

y = -0.5 × (x - 5) + 9

However, when x < 5, we have;

\(0.5 \times \left | x -5 \right |= -0.5 \times \left | x -5 \right |\)

\(\therefore y = 0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left | x -5 \right | + 9 = 0.5 \times \left ( x -5 \right ) + 9\)

When x > 5, we have;

\(0.5 \times \left | x -5 \right |> -0.5 \times \left | x -5 \right |\)

\(\therefore y = -0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left ( x -5 \right ) + 9\)

Therefore, the equation that applies to both the left and right portion of the roof is \(y = -0.5 \times \left | x -5 \right | + 9\)

Which gives the correct option as follows;

\(y = 8.3 = -0.5 \times \left | x -5 \right | + 9\)

Answer:

1/2

Step-by-step explanation:

15/24= 62.5%

1/2= 50%

First, locate the coordinate points given and join them.

Then, do the translation:

(x,y) = (x-9,y )

C' = (1-9 , 6 ) = (-8,6)

A'= (1-9,1) = (-8,1)

T'= (7-9 , 1 ) = ( -2,1)

Graph:

Finally reflect in x axis

(x,y )----> (x,-y)

C'' = (-8,-6)

A''= (-8,-1)

T''= (-2,-1)

Graph:

The resulting concentration of chlorine in the basin would be 0.034 ppm.

First, we can rearrange the formula to solve for C:

A = 8.35FC
A/F = 8.35C
C = A/(8.35F)

Next, we can substitute the given values into the formula:

C = 1900/(8.35 x 7.5)
C = 0.034 ppm

Therefore, the resulting concentration of chlorine in the basin would be 0.034 ppm.

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Answer:

A translation 8 units right and 2 units down

We have proven the generalization of De Morgan's law using induction.

To prove the generalization of De Morgan's law using induction, we need to show that the following statement holds for all positive integers n:

(∪_{j=1}^{n} A_j)^c = ∩_{j=1}^{n} A_j^c

where A_1, A_2, ..., A_n are arbitrary sets.

Base case:

For n = 2, we have:

( A_1 ∪ A_2 )^c = A_1^c ∩ A_2^c

This is the standard De Morgan's law, which we assume to be true.

Inductive step:

Assume that the statement is true for n = k, i.e.

(∪_{j=1}^{k} A_j)^c = ∩_{j=1}^{k} A_j^c

We need to show that the statement is also true for n = k+1.

Consider the sets A_1, A_2, ..., A_k+1. By the assumption, we have:

(∪_{j=1}^{k} A_j)^c = ∩_{j=1}^{k} A_j^c

Taking the complement of both sides, we get:

∪_{j=1}^{k} A_j = (∩_{j=1}^{k} A_j^c)^c

Now, we can apply the standard De Morgan's law to the right-hand side:

∪_{j=1}^{k} A_j = (∩_{j=1}^{k} A_j^c)^c = A_k+1^c ∪ (∩_{j=1}^{k} A_j)^c

Substituting this back into the original equation, we get:

(∪_{j=1}^{k+1} A_j)^c = (∪_{j=1}^{k} A_j ∪ A_k+1)^c

= (A_k+1^c ∪ (∩_{j=1}^{k} A_j)^c)^c

= (A_k+1^c)^c ∩ (∩_{j=1}^{k} A_j)^c

= A_k+1 ∩ (∩_{j=1}^{k} A_j)^c

= ∩_{j=1}^{k+1} A_j^c

This completes the inductive step, and therefore the statement holds for all positive integers n.

Therefore, we have proven the generalization of De Morgan's law using induction.

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Answer:0.35

Step-by-step explanation:you will have to multiply 70% by 50% and that would give you your answer

Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

The particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

To find the particular solution for the non-homogeneous system of first-order linear differential equations, we need to substitute the given values into the system and solve for the unknown coefficients.

The given system is:

\(Y' = 54 - 5x^2 + 6x + 25\\Y(0) = 12 - x^2 + 2x + 4\)

Differentiating the second equation, we have:

\(Y'(0) = -2x + 2\)

Now, let's substitute these values into the first equation:

\(Y' = 54 - 5x^2 + 6x + 25\)

Since there are no derivatives of Y in the equation, we can integrate both sides with respect to x to find the particular solution:

\(\int Y' dx = \int (54 - 5x^2 + 6x + 25) dx\)

Integrating each term separately, we get:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + C\)

Now, using the initial condition\(Y(0) = 12 - x^2 + 2x + 4\), we can substitute x = 0 and \(Y = 12 - x^2 + 2x + 4\) into the equation to solve for the constant C:

\(12 - 0 + 2(0) + 4 = 54(0) - (5/3)(0^3) + 3(0^2) + 25(0) + C\)

16 = C

C= 16

Therefore, the particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

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Answer:

mhm

yea

no

that number is too big for my brain cells to comprehend

sry

thx for the points!

Answer:

F(2)=2^2+2*4=4+8=12

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

5\(\sqrt{2}\)

Step-by-step explanation:

prime factorising 50 inside root,

\(\sqrt{50}\)=\(\sqrt{5*5*2}\)

      5*5 is a perfect square

    So root of 5*5(or 25) is 5.

Hence 5 comes outside and 2 remains in bracket.

=5\(\sqrt{2}\)

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left.

Step-by-step explanation:

5.25% = .0525

Kono Dio Da

Answer:

Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.

Step-by-step explanation:

The next three numbers are - 40, 48, 56,..

The pattern belongs to multiples of 8.

Complete pattern is - 8,16,24,32,40, 48, 56,..

Examine the pattern's initial three to four numbers. What connection exists between these numbers, you could ask. For instance, the first three to four numbers in this mathematical pattern are 1, 3, 6, and 10. As the numbers rise, it appears that you must add to obtain the subsequent number. You begin by adding 2, then 2, 3, and then 4. Therefore, if you put this on paper, you probably notice a pattern emerging.

To test whether your solution works, try the remaining pieces of the pattern that was provided.

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The difference between r and p.  is that r represents the sample correlation coefficient while p represents the p-value

Generally, r represents the sample correlation coefficient, which is a measure of the strength and direction of the linear relationship between two variables in a sample of data. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.

p represents the p-value, which is a measure of the statistical significance of the sample correlation coefficient. It represents the probability that the observed correlation occurred by chance, assuming that there is no true correlation in the population.

A p-value of less than 0.05 is often used as a threshold for determining statistical significance, meaning that the observed correlation is unlikely to have occurred by chance and is likely to reflect a true correlation in the population.

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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The limit of the function as x approaches 9 is; 4

Let y = f(x) be a function of x.

If at a point x = b, f(x) takes an indeterminate form, then we can truly consider the values of the function which is very near to b. If these values tend to some definite unique number as x tends to b, then that obtained unique number is called the limit of f(x) at x = B.

Now we are given the function as;

√(25 - x) lim x->9

Thus,we plug in 9 for x into the function to get;

√(25 - 9)

= √16

= 4

Thus,that is the limit of the function as x approaches 9.

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