When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to record transactions in your checkbook. d:You are not personally liable for more than $50 if it is stolen.

The rate at which lemons being used in lemons per cup of lemonade is 0.25 lemons per cup

A ratio compares values. A ratio says how much of one thing there is compared to another thing.

Rate of Change

Rate of change is the value at which the rest of the time.

Let the rate of lemon per cup of lemonade be x

Total lemon = 4

For a cup of lemonade =16

Rate of lemon per cup of lemonade

x = 4/16

x= 0.25.

Therefore, the required rate of lemon per cup of lemonade is 0.25 lemons per cup

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Answer:

A, B, C, and E

Step-by-step explanation:

SSA doesn't work because this leaves room for two possible answers in some situations.

The other postulate, HL (hypotenuse-leg) works for right triangles; it's basically a short cut for SSS postulate because if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg on another, the other side also has to be congruent.

The criteria can be used to prove triangles are congruent: ASA, AAS, SAS and HL.

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Two triangles are said to be congruent if they are of the same size and same shape.

Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent.

Based on studies and experiments, there are 5 conditions for two triangles to be congruent.

They are SSS, SAS, ASA, AAS, and RHS congruence properties.

The postulate, known as HL (hypotenuse-leg), is applicable to right triangles.

As if a right triangle's hypotenuse and leg are congruent with those of another, then the other side must likewise be congruent.

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well, one quarter of a year is 3 months, so at the end of third quarter, 9 months have passed, and since a year has 12 months, 9 months are simply 9/12 of a year.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$960\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases}\)

\(A=960\left(1+\frac{0.07}{4}\right)^{4\cdot \frac{3}{4}}\implies A=960(1.0175)^3\implies A\approx 1011.29\)

To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:

1. Start with the initial B&B tree, where the root node represents the original problem.

2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for

\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)

3. At each node, perform the following steps:

  - Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.

  - If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.

  - If the LP solution is integer, update the current best solution if the objective value is higher.

  - If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.

4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.

5. The node with the highest objective value among the integer feasible solutions is the optimal solution.

6. Optionally, backtrace through the tree to retrieve the optimal solution variables.

Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.

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Answer:

30

Step-by-step explanation:

These are djacent angles ( two angles that have the same vertex, share a side, and do not overlap)  The 2 angles  form a  linear pair           The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

If one angle is 150 then the other angle must be 30

150+30 = 180

The dimension A is 7.703

The figure that completes the question is added as an attachment

From the attached figure, the lengths that make up the side A have the following measures:

1.031, 5.625 and 1.047

Add these measures to determine the dimension A

A = 1.031 + 5.625 + 1.047

Evaluate the sum

A = 7.703

Hence, the dimension A is 7.703

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Answer:

8

Step-by-step explanation:

0.06/48=800 0.01x800=8

52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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Answer:

4 dollars

Step-by-step explanation

half of 16 would be 8 and half of 8 would be 4

Answer:

See explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

Answer:

The answer to the problem is True

Answer:

ikl;'

Step-by-step explanation:

Answer:

16.81

Step-by-step explanation:

That's basically just 4.1×4.1

The vertical asymptotes of the function are x = 4 and x = -3, the horizontal asymptote is y = 1, and there are no holes in the function.

In mathematics, a vertical asymptote is a vertical line on a graph that a function approaches but never touches or crosses as the independent variable (usually denoted as x) approaches a certain value.

In the context of a rational function (i.e., a function in the form of f(x) = p(x) / q(x), where p(x) and q(x) are polynomials), a vertical asymptote occurs at a value of x where the denominator, q(x), equals zero and the numerator, p(x), does not. This means that the function approaches infinity or negative infinity as it gets closer to the vertical line associated with the asymptote.

For example, the function f(x) = 1 / (x-2) has a vertical asymptote at x = 2, since the denominator becomes zero at that point, and the function becomes undefined. As x gets closer to 2, the function approaches positive infinity or negative infinity, depending on whether x is slightly larger or slightly smaller than 2.

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Tina's kitchen has an area of 44.5925 \(m^{2}\) and it will cost her $2,520 to buy 45 square meters of flooring.

a) To work out the area of Tina's kitchen, we need to multiply the length by the width:

925 cm * 485 cm = 445,925 \(cm^{2}\)

We can convert this to square meters by dividing it by 10,000:

445,925 \(cm^{2}\) / 10,000 = 44.5925 \(m^{2}\)

To use estimation to check the answer, we can round both the length and the width to the nearest 10 cm:

925 cm ≈ 930 cm and 485 cm ≈ 480 cm

So, the kitchen's area would be approximately:

930 cm * 480 cm = 448,000 \(cm^{2}\)

And converting this to square meters:

448,000 \(cm^{2}\) / 10,000 = 44.8 \(m^{2}\)

So our answer of 44.5925 \(m^{2}\) is close to the estimate of 44.8 \(m^{2}\).

b) To find out how much Tina has to pay for flooring, we multiply the area by the cost per square meter:

44.5925 \(m^{2}\) * $56/\(m^{2}\) = $2,505.02

However, flooring is only sold in whole numbers of square meters, so Tina will have to round up to the nearest square meter:

45 \(m^{2}\) * $56/\(m^{2}\) = $2,520

To check this answer using inverse operations, we can divide the total cost by the cost per square meter:

$2,520 / $56/\(m^{2}\) = 45 \(m^{2}\)

So Tina pays $2,520 for 45 square meters of flooring.

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Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

As per the unitary method, Gordon is correct because the Gordon would charge more than Ironing Palace

In math the term unitary method is defined as the value of a single unit and then find the value of more or fewer units by multiplying their quantity with the value of a single unit.

Here we have given that the total weight of these shirts is 9. 5 kg.

And here we have also given that each shirt weighs 190 g.

And Gordon charges £38 to iron these shirts.

And the charges in the Ironing Palace is 90p for each.

Here we have to use the unitary method to calculate the values for each of them,

The Total cost for Gordon is calculated as,

=> 38 x (9.5 / 0.19)

=> 1900

And the total cost for Ironing Palace is calculated as,

=> 90 x 9.5

=> 855

Therefore, while we looking into the values we have identified that Gordon is correct.

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The amount of paint needed in cubic centimeters to apply a coat of paint 0.03 cm thick to a hemispherical dome with a diameter of 30 meters is 1.413737 × 10¹⁰ cm³.

To estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with a diameter of 30 meters, we will use linear approximation.

The volume of a hemisphere with a diameter of 30 meters is given by:

V = (2/3)πr³Where r = 30/2 = 15 meters

We need to find the amount of paint required for a thickness of 0.03 cm.

We convert this to meters as:

0.03 cm = 0.0003 m

The linear approximation formula is given by:

ΔV ≈ dV/dx × Δx

where Δx = 0.0003 is the change in thickness, and

dV/dx is the rate of change of the volume with respect to thickness x.

We have:

V = (2/3)πr³ = (2/3)π(15)³ = 14137.2 m³

dV/dx = 4πr² = 1800π m²

Now, we can estimate the change in volume:

ΔV ≈ dV/dx × Δx = 1800π × 0.0003 = 0.1696 m³

The total amount of paint needed is:

V + ΔV = 14137.2 + 0.1696 = 14137.37 m³

We can convert this to cubic centimeters as:

1 m³ = 10⁶ cm³

So, the amount of paint needed in cubic centimeters is:

V = 14137.37 * 10⁶ cm³ = 1.413737 × 10¹⁰ cm³

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Since, that the total interest that will be paid on a 40-year mortgage from a home loan of $100,000 is going to be $480,000. Then,  the payments each month if the payments are to pay off both the loan and the interest will be $1,504.

The 40-year loan has the lowest monthly payment at $1,504. But that only means "saving" $183 per month on the 30-year loan. When considering the total price of the house in this example, adding an additional 10 years to the term of the loan seems overkill, reducing the monthly payment by less than $200.

A 40-year loan doesn't sound like a good deal. But for homeowners struggling to meet their monthly payments and get a 40-year loan modification, the lower payments could have a big impact.

Comparing the 30-year and 15-year numbers is even more extreme. The monthly payment on the 15-year loan is an additional $700. Some buyers can afford higher payments. The advantage of the 15-year loan is that the total interest paid on the loan is $103,218, compared to $289,970 for the 30-year loan. Fifteen years seems to pass so quickly, and it's an exciting feeling to stop paying.

Objections to the 15-year loan could include a missed opportunity. With an interest rate of 4.67% on the 30-year loan, one can expect a higher rate of return in the long run by investing heavily in the stock market. But that raises the question of whether the $700 a month in cash freed up by the 30-year loan will be invested. It might be tempting to spend that money on a more expensive car than the one you would otherwise have purchased.

A family's needs, including space, savings and investment for retirement and education, as well as many household expenses should be considered when deciding which home to buy and the term of the loan. At a minimum, homebuyers need to understand how the different types of loans work.

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Answer:

mk,  eee

Step-by-step explanation:

The first value that indicates an approximate relative frequency of landing face up in 400 attempts is 66.67, which is the expected number of times 3 will land face up in 400 rolls (400/6 = 66.67).

The second value will be the actual observed relative frequency of landing face up in 400 attempts, which can be calculated by dividing the number of times 3 landed face up by 400 and multiplying by 100 to get a percentage. For example, if 3 landed face up 60 times in 400 attempts, the observed relative frequency would be 15% (60/400 x 100 = 15%).
Based on the given probability of 3 landing face up on the cube, which is 1/6, we can calculate the approximate relative frequency of it occurring in 400 attempts.

To do this, simply multiply the probability (1/6) by the total number of attempts (400):

Relative frequency = (1/6) * 400 = 66.67

So, two values that indicate an approximate relative frequency of 3 landing face up in 400 attempts would be 66 and 67.

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The answer is tenths

Step-by-step explanation:

According to the place value chart of decimals,the first number after the decimal point starts from tenths and continues.so the answer is tenths

Hi :)

Remember Place value in decimal numbers

\(\large\boldsymbol{\hfill\stackrel{hundreds}{9}~\hfill\stackrel{tenths}0~\hfill\stackrel{ones}6.\hfill\stackrel{tenths}{7}}\)

Then

The place-value of \(\boldsymbol{7}\) is \(\boldsymbol{tenths}\).

\(\tt{Learn~More;Work~Harder}\)

:)

Answer:

x = 1/2

Step-by-step explanation:

all of its sides are equal;

4x - 6 = 2x - 5

2x = 1 , x  = 1/2

The solution set of polar-coordinates (r, θ) given by:r = ±6√10, θ = {sin⁻¹(∓√3 / 3) + nπ, cos⁻¹(∓√7 / 10) + nπ}, where n is an integer,for the Cartesian-equation is (x + 6)² + (y - 1)² = 37.

We get:

r² + 12r cos θ - 2r sin θ - 36 = 0.

This simplifies to:

r² + 12r cos θ = 2r sin θ + 36.

Now, square the above equation:

r² + 144r² cos² θ + 24r² cos θ = 4r² sin² θ + 144 sin² θ + 144.

Now, substitute r² = x² + y², and x = r cosine θ, y = r sine θ.

We get:2(x² + y²) = 144 + 12x.

This simplifies to:

p² = x² + y² = 72 + 6x.

Now, square both sides and substitute for p²:

x² + y² = 72 + 6x

Now, x² + y² = r², and y = r sin θ.

Substitute these values to get:

r² = 72 + 6r cos θ.

Now, square the above equation and simplify:

r⁴ - 432r² cos² θ = 5184.

Now, divide throughout by r²:

r² - 432 cos² θ = 5184 / r².

Now, use the identity:cos² θ + sin² θ = 1.to get:

r² - 432(1 - cos² θ) = 5184 / r².

This simplifies to:

r⁴ - 432r² + 5184 = 0.

This is a quadratic in r².

Substitute: t = r² to get:

t² - 432t + 5184 = 0.

The roots are:

t = 216 ± 144.

The value of t cannot be negative.

Hence, we take:

t = r²

  = 216 + 144

   = 360.

Now, we have:

r = ±6√10.

Then, x = r cos θ

            = ±6√10 cos θ,

y = r sin θ

  = ±6√10 sin θ.

We can also use the equations:

(x + 6)² + (y - 1)² = 37 to solve for x and y.

Substituting for x and y, we get:

2r cos θ + 6 = ±√(37 - 2r² sin² θ).

Squaring both sides and simplifying, we get:

r⁴ - 72r² - 2r² (37 - 6 cos θ) + 36 = 0.

This is a quadratic in r².

Solving, we get:

r² = 18 (7 + 3 cos θ).

Substituting the value of r², we get:

x = r cos θ

  = ±6√(10 cos² θ + 7 sin² θ),

y = r sin θ

  = ±6√(10 sin² θ + 3 sin θ cos θ).

Thus, the solution is the set of polar coordinates (r, θ) given by:

r = ±6√10,

θ = {sin⁻¹(∓√3 / 3) + nπ, cos⁻¹(∓√7 / 10) + nπ}, where n is an integer.

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Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

We'll have to use the formula, z = (x - μ) / σ, where x is the raw score, μ is the mean, and σ is the standard deviation.

Since we're given the z-score for both Luke and Kelly, we can use this formula to calculate their raw scores and then determine who had the higher score

.For Kelly, z = +0.9, μ = 20,000, and σ = 3,000.

Substituting these values into the formula, we get:0.9 = (x - 20,000) / 3,000Solving for x, we get:x = 20,000 + 0.9 * 3,000 = 23,700

Therefore, Kelly's raw score is 23,700

.For Luke, z = +1.1, μ = 16,000, and σ = 4,000.

Substituting these values into the formula, we get:1.1 = (x - 16,000) / 4,000

Solving for x, we get:x = 16,000 + 1.1 * 4,000 = 20,400

Therefore, Luke's raw score is 20,400. Since Kelly's raw score is higher than Luke's, Kelly had the higher score

To determine who had the higher score relative to their gender group, we need to find the z-scores for Joe and Alyssa. To do this, we'll use the formula, z = (x - μ) / σ, where x is the raw score, μ is the mean, and σ is the standard deviation.For Joe, x = 21,000, μ = 16,000, and σ = 4,000.

Substituting these values into the formula, we get:z = (21,000 - 16,000) / 4,000 = 1.25For Alyssa, x = 23,000, μ = 20,000, and σ = 3,000. Substituting these values into the formula, we get:z = (23,000 - 20,000) / 3,000 = 1Therefore, Alyssa had a higher score relative to her gender group.

We were given the mean winnings and standard deviations for males and females on "The Price is Right." Based on this information, we were asked to calculate the raw scores for Kelly and Luke given their z-scores, and determine who had the higher score. We were also asked to compare the raw scores for Joe and Alyssa given their actual winnings and determine who had the higher score relative to their gender group.

To calculate the raw scores for Kelly and Luke, we used the formula z = (x - μ) / σ, where x is the raw score, μ is the mean, and σ is the standard deviation. We were given the z-scores for both Kelly and Luke, so we simply substituted those values into the formula and solved for x. Kelly's raw score was 23,700, and Luke's raw score was 20,400. Since Kelly's raw score was higher, she had a higher score.

To compare the raw scores for Joe and Alyssa, we first needed to find the z-scores for their winnings. We used the formula z = (x - μ) / σ, where x is the raw score, μ is the mean, and σ is the standard deviation. For Joe, x was 21,000, μ was 16,000, and σ was 4,000. For Alyssa, x was 23,000, μ was 20,000, and σ was 3,000. After calculating the z-scores, we found that Alyssa had a higher score relative to her gender group. This is because her z-score was 1, which is higher than Joe's z-score of 1.25.

We used the formula z = (x - μ) / σ to calculate raw scores and z-scores for contestants on "The Price is Right." We then used these values to determine who had the higher score in each case.

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For the second round, the archer's mean distance from the center of the target will be greater than 1.6 inches. However, the MAD distance will be smaller than 1.3 inches.

The mean distance of 1.6 inches in the first round indicates that, on average, the archer's arrows were 1.6 inches away from the center of the target. The MAD distance of 1.3 inches shows that the distances of the arrows from the center varied widely. In contrast, a smaller MAD distance would suggest that the arrows were more consistent in their distance from the center.

In the second round, the archer's arrows were farther from the center of the target than in the first round. This means that the mean distance will be greater than 1.6 inches.

However, the arrows were more consistent in their distance from the center, which means that the MAD distance will be smaller than 1.3 inches. This is because a larger mean distance indicates that the arrows were farther from the center, while a smaller MAD distance implies that the arrows were closer together, resulting in a more consistent grouping.

In conclusion, the archer's mean distance from the center of the target will be greater in the second round, but their arrows will be more consistent, resulting in a smaller MAD distance.

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\(\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})\)

\(\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}\)

\(\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}\)

\(\\ \sf\longmapsto 3\dfrac{3}{22}\)

Answer:

y= 4+x

Step-by-step explanation:

she has 4 gallons already in the tank

she puts in x more

therefore the total amount in the tank is 4+x

Answer:

206°

I realise that I didn't do it the easiest way. :(

Step-by-step explanation:

So first find angle XCY.

XCY = 180 - 72 - 26 = 82°

Then you can see that angle WCR is 154° because of vertical angles.

Arc RW is 154° too because WCR is a central angle.

Arc ZW is 26° because WCX is a central angle.

All we have to find now is angle ZCR.

You can see that ZCR and XCW are vertical angles.

ZCR = 26°

Arc ZR is also 26° because ZCR is a central angle.

154° + 26° + 26° = 206°