The cost of 3 cans of pineapple at Superway Store is $2.25, and the cost of 6
cans of the same kind of pineapple is $4.80 at Grocery Giant. Which store
has the better price for the pineapple?

Answer:

3.3 inches.

Step-by-step explanation:

We know that the scale of his building is 1 inch for every 400 ft.

And we also know that the actual length of the building is 1320 feet.

So, we can write the following proportion, with x being our unknown model length:

\(\frac{x}{1320}=\frac{1}{400}\)

Note the the lengths line up horizontally. The numerator is all the model lengths, while the denominator is the actual lengths.

Solve for x. Cross multiply:

\(1320=400x\)

Divide both sides by 400:

\(x=3.3\)

Therefore, the length of the model is 3.3 inches.

And we're done!

The equation for the plane passing through P₀(-1, 9, 3) and perpendicular to the line x = -1 - t, y = 9 + 3t, z = -4t is 2x - 3y + 4z = -7.

The equation for the plane through point P₀(-1, 9, 3) that is perpendicular to the line x = -1 - t, y = 9 + 3t, z = -4t is:

**2x - 3y + 4z = -7**

To find the equation of the plane, we need a point on the plane and a normal vector to the plane.

Given that the line x = -1 - t, y = 9 + 3t, z = -4t is perpendicular to the plane, the direction vector of the line (-1, 3, -4) is parallel to the plane. Therefore, the normal vector to the plane can be obtained by taking the coefficients of x, y, and z from the direction vector, which in this case is (2, -3, 4).

Now, we have a normal vector (2, -3, 4) and a point on the plane P₀(-1, 9, 3). Using the point-normal form of the equation for a plane, we can substitute these values into the equation:

2(x - (-1)) - 3(y - 9) + 4(z - 3) = 0

Simplifying the equation:

2x + 3y - 4z = -2 + 27 - 12

2x + 3y - 4z = 13

Finally, rearranging the equation, we get the equation for the plane:

**2x - 3y + 4z = -7**

Therefore, the equation for the plane passing through P₀(-1, 9, 3) and perpendicular to the line x = -1 - t, y = 9 + 3t, z = -4t is 2x - 3y + 4z = -7.

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32 x 134

Partial product: Multiply each digit of 32 by each digit of 134, maintain each digit place.

(30x100) + (30x 30) + (30 x4)+ (2 x 100) + (2x30) + (2 x 4)

3,000 + 900+120+200+60+8 = 4,288

The value of x that will make the expression equal is 4. Option B is correct.

Given the indices expression;

\(3^{2x+1} = 3^{x+5}\)

Since the base values are the same, they will cancel out to have:

\(2x + 1 = x + 5\)

Collect the like terms:

\(2x - x = 5 - 1\\x = 4\\\)

Hence the value of x that will make the expression equal is 4

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Answer:

the correct option is C which is 4

Step-by-step explanation:

jesus loves you!!!!!!!!!

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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To determine if the percentage of Contra Costa County residents supporting a ban is greater than the nationwide percentage reported by the Pew Research Center, we need to follow these steps.

1. Obtain the Pew Research Center's report on the nationwide percentage of people supporting a ban.
2. Gather data on the percentage of Contra Costa County residents supporting the ban. This data could come from local surveys, polls, or other relevant sources.
3. Compare the two percentages to see if the Contra Costa County percentage is greater than the nationwide percentage.

If the Contra Costa County percentage is greater than the nationwide percentage, we can be confident that a higher proportion of county residents support the ban. However, it is important to note that survey results may vary based on the sample size, methodology, and timing of the polls. To draw more accurate conclusions, it's essential to consider multiple sources of data and ensure the reliability of the information being used.

In summary, to confidently assert that the percentage of Contra Costa County residents supporting a ban is greater than the nationwide percentage, we must gather local data and compare it to the Pew Research Center's report. The reliability of this conclusion depends on the accuracy and representativeness of the data used.

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Answer:

Can you include the picture because i don't know which question you are talking about.

Step-by-step explanation:

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Answer:

\(\displaystyle y =\frac{1}{2}x+5\)

Step-by-step explanation:

Equation of the line

The slope-intercept form of a line is given by:

\(y=mx+b\)

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

\(y - k=m(x-h)\)

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

\(m_1.m_2=-1\)

We are given the line:

\(y=-2x+5\)

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

\(\displaystyle m_2=-\frac{1}{m_1}\)

\(\displaystyle m_2=-\frac{1}{-2}\)

\(\displaystyle m_2=\frac{1}{2}\)

The required line contains the point (-8,1), thus the equation is:

\(\displaystyle y - 1=\frac{1}{2}(x+8)\)

Removing the parentheses:

\(\displaystyle y - 1=\frac{1}{2}x+\frac{1}{2}\cdot 8\)

Adding 1:

\(\displaystyle y =\frac{1}{2}x+\frac{1}{2}\cdot 8+1\)

Operating:

\(\displaystyle y =\frac{1}{2}x+4+1\)

\(\mathbf{\displaystyle y =\frac{1}{2}x+5}\)

Answer:

The volume of the figure is 126 cubic cm

Step-by-step explanation:

The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.

Calculate the first volume:

\(V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3\)

\(V_1= 42~cm^3\)

Calculate the second volume:

\(V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3\)

\(V_2= 84~cm^3\)

The total volume of the figure is the sum of both volumes:

\(V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3\)

The volume of the figure is 126 cubic cm

Answer: If your opponent is winning 3:1 then they are probably better then you if they are winning more then you are. (or you are just having a bad day)

Posterior probability of scenario A: P(A|data) ≈ (0.0625 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.134

Posterior probability of scenario B: P(B|data) ≈ (0.216 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.466

Posterior probability of scenario C: P(C|data) ≈ (0.05184 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.400

Let's denote the three possibilities as follows:

A: Equally talented, each player has a 0.5 probability of winning a game.

B: You are slightly better, with a 0.6 probability of winning a game.

C: Your opponent is slightly better, with a 0.6 probability of winning a game.

Given that you won the second game but lost the first, third, and fourth games, we want to find the probability of scenario C given this outcome. Let P(C) represent the prior probability of scenario C being true.

According to the given information, each of the three scenarios (A, B, and C) is equally likely, so P(A) = P(B) = P(C) = 1/3.

Now, let's update the probabilities based on the outcome of the match:

In scenario A:

The probability of winning the second game is 0.5, and the probability of losing the first, third, and fourth games is 0.5 each. Therefore, the overall probability of the observed outcome in scenario A is (0.5 * 0.5 * 0.5 * 0.5) = 0.0625.

In scenario B:

The probability of winning all three games (assuming you are slightly better) is (0.6 * 0.6 * 0.6) = 0.216.

In scenario C:

The probability of winning the second game (assuming your opponent is slightly better) is 0.4, and the probability of losing the first, third, and fourth games is 0.6 each. Therefore, the overall probability of the observed outcome in scenario C is (0.4 * 0.6 * 0.6 * 0.6) = 0.05184.

Now, we can update the probabilities based on Bayes' theorem:

Posterior probability of scenario A: P(A|data) = (P(data|A) * P(A)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))

Posterior probability of scenario B: P(B|data) = (P(data|B) * P(B)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))

Posterior probability of scenario C: P(C|data) = (P(data|C) * P(C)) / (P(data|A) * P(A) + P(data|B) * P(B) + P(data|C) * P(C))

P(data|A) = 0.0625

P(data|B) = 0.216

P(data|C) = 0.05184

Plugging in the values, we get:

Posterior probability of scenario A: P(A|data) ≈ (0.0625 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.134

Posterior probability of scenario B: P(B|data) ≈ (0.216 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.466

Posterior probability of scenario C: P(C|data) ≈ (0.05184 * 1/3) / (0.0625 * 1/3 + 0.216 * 1/3 + 0.05184 * 1/3) ≈ 0.400

So, after the match, the posterior probability that your opponent is slightly better than you is approximately 0.400 or 40%.

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We can write the given partial equilibrium model on the form Ax = d, and then use Cramer's rule to solve for the values of Qs* and P*.

To write the model on the form Ax = d, we need to express the equations in a matrix form.

The given equations are:

Qd = a1 + b1P

Qs = a2 + b2(P - t)

We can rewrite these equations as:

-Qd + 0P + Qs = a1

0Qd - b2P + Qs = a2 - b2t

Now, we can represent the coefficients of the variables and the constants in matrix form:

| -1 0 1 | | Qd | | a1 |

| 0 -b2 1 | * | P | = | a2 - b2t |

| 0 1 0 | | Qs | | 0 |

Let's denote the coefficient matrix as A, the variable matrix as x, and the constant matrix as d. So, we have:

A * x = d

Using Cramer's rule, we can solve for the variables Qs* and P*:

Qs* = | A_qs* | / | A |

P* = | A_p* | / | A |

where A_qs* is the matrix obtained by replacing the Qs column in A with d, and A_p* is the matrix obtained by replacing the P column in A with d.

By calculating the determinants, we can find the values of Qs* and P*.

It's important to note that Cramer's rule allows us to solve for the variables in this system of equations. However, the applicability of Cramer's rule depends on the properties of the coefficient matrix A, specifically its determinant. If the determinant is zero, Cramer's rule cannot be used. In such cases, alternative methods like substitution or elimination may be required to solve the equations.

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Answer:

The answer is

Step-by-step explanation:

First of all factor out the perfect square

From the question the perfect square is 64

We have

The root of a product is equal to the product of the roots of each factor

So we have

Simplify

So we have

We have the final answer as

Hope this helps you

Answer:

the answer is yes  

because it is within the shaded region of both inequalities

Answer: $36.8

Step-by-step explanation:

From the question, we are told that Brady and 3 friends went to lunch at Mazzio’s Pizza and that their meal cost $32, and they left a 15% tip. Their total bill will be $32 plus 15% of $32. This can be written mathematically as:

= $32 + (15% of $32)

= $32 + (15/100 × $32)

= $32 + (0.15 × $32)

= $32 + $4.8

= $36.8

Their total bill is $36.8

Answer:

5

Step-by-step explanation:

Number of players injured in a game count the other side

The convolution theorem is a technique used to simplify the multiplication of two Laplace transform functions, that is, the Laplace transform of the convolution of two functions is equal to the product of their Laplace transforms.

Consider the Laplace transform of the first function, f(t) = 3t3, which is given by F(s) = L{f(t)} = 3!/(s4). Likewise, the Laplace transform of the second function g(t) = 2t is given by G(s) = L{g(t)} = 2/(s2).Using the convolution theorem, we have the following relationship: L{f(t)*g(t)} = F(s)*G(s)where * denotes convolution of the two functions.

Hence, L{f(t)*g(t)} = (3!/(s4)) * (2/(s2))Multiplying the two Laplace transforms, we get: L{f(t)*g(t)} = 6/(s6)Hence, f(t)*g(t) = L-1{L{f(t)*g(t)}} = L-1{6/(s6)}Taking the inverse Laplace transform of the above expression, we obtain:f(t)*g(t) = 6 t5/5, where t ≥ 0Therefore, the expression using t as the variable is:f(t)*g(t) = (6t5)/5.

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Answer:

Step-by-step explanation:

The height of the can of soda is approximately 6.2 centimeters.

For similar triangle is:

For similar triangle:

and

So

both triangle then :

LE=11 , LD=9 , LM=90, LN=110

For similar triangle ratio of ED and MN is 9/10

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer: 2 quarts 1 pint

Step-by-step explanation: Kim needs 10 cups of apple juice 2 cups are 1 pint so that makes it already 5 pints so now we need to turn the 5 pints into quarts so 2 quarts is what we have but we have some left over we have 1 pint left so we have 2 quarts and 1 pint, we could always convert the pint into a fraction depends on how or what way your teacher wants it wrote

Answer:

16.2

Step-by-step explanation:

90*18%

90*0.18

16.2

Answer:

You can try predicting the graph on some special points and will see it quickly the function which is plotted on the graph.

The rational function which is graphed below is given by

Option D: F(x)= 1/(x+2)(x-5)

Answer: A

Step-by-step explanation:

The predicted income increases by $2,500, holding all other variables constant.

To interpret a regression coefficient based on standardized data using unstandardized units, you need to use the formula for converting standardized coefficients to unstandardized coefficients:

B(unstandardized) = B(standardized) * (SDY/SDX)

where B(unstandardized) is the unstandardized coefficient, B(standardized) is the standardized coefficient, SDY is the standard deviation of the dependent variable, and SDX is the standard deviation of the independent variable.

Once you have calculated the unstandardized coefficient, you can interpret it using the units of the original variables. For example, if you are predicting income (in dollars) based on education level (measured in years of schooling), and the regression coefficient for education level is 0.5 (standardized), and the mean income is $50,000 and the standard deviation is $10,000, and the mean education level is 12 years and the standard deviation is 2 years, then the unstandardized coefficient is:

B(unstandardized) = 0.5 * (10,000/2) = 2,500

This means that for every additional year of education, the predicted income increases by $2,500, holding all other variables constant.

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Answer:

yes and the common difference is 3

Step-by-step explanation:

The expression that can be factored by grouping is pr + ps + qr + qs. We can group the terms into two groups, factor out the common factors from each group, and simplify the expression to get (p+q)(r+s). So, the correct answer is D).

The expression that could be factored by grouping is

pr + ps + qr + qs

To factor this expression by grouping, we can first group the first two terms and the last two terms

(pr + ps) + (qr + qs)

We can then factor out the common factors from each group

pr + ps = p(r+s)

qr + qs = q(r+s)

We can see that both groups have a common factor of (r+s), so we can further simplify the expression

(p+q)(r+s)

Therefore, the final factored form of the expression pr + ps + qr + qs is (p+q)(r+s).

None of the other expressions given can be factored by grouping.

For pq + ps - pr + pt, we cannot group any two terms that have a common factor. For pq + rs - pq + rs, we can simplify it as 2rs, but it cannot be factored by grouping. For pr + ps - qr - qs, we cannot group any two terms that have a common factor. So, the correct option is D).

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Answer:

nickel=2/5, quarter=4/15, dime=1/3

Step-by-step explanation:

Total number of coins in the bag = 6 + 5 + 4 = 15

Probability of getting a nickel =

\( \frac{6}{15} \)

which is also equivalent to

\( \frac{2}{5} \)

Probability of getting a quarter=

\( \frac{4}{15} \)

Probability of getting a dime=

\( \frac{5}{15} \)

which is equivalent to

\( \frac{1}{3} \)