Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 8 wings for $7 dollar sign, 7. Buffalo Mild Wings has 12 wings for $10dollar sign, 10. Wingers has 20 wings for $17dollar sign, 17. Which restaurant offers the lowest price per wing?

Answer:

Step-by-step explanation:

The answer is D.

The rule for perpendicular lines is that the slope will be the negative reciprocal. Because this equation is in slope-intercept form, the coefficient of x is the slope. -7/5 becomes 5/7. Our new equation is y=5/7x+b. Plugging in (5,3), we see that b is equal to -4/7. Our equation is then y=5/7x-4/7

The best measure of central tendency to report test results for a group of physics majors with a somewhat normal distribution would be the mean.

The mean is the arithmetic average of a set of numbers and is commonly used as a measure of central tendency. In the case of a somewhat normal distribution of test scores for physics majors, the mean would provide a representative value that reflects the overall performance of the group. Since there are no extreme outliers mentioned, the mean would not be significantly affected by any extreme values that could skew the results. By calculating the mean of the test scores, one can easily summarize the performance of the group by a single value.

Other measures of central tendency, such as the median or mode, could also be considered depending on the specific context and purpose of the analysis. However, the mean is often preferred as it takes into account the value of each individual score and provides a balanced representation of the overall performance. Additionally, the mean is useful for further statistical analyses and comparisons, as it preserves the mathematical properties of the data set.

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1. The expressions which that DO NOT represent the total area of the big rectangle is t+5+4 and 4⋅5⋅t option B and D.

The expression which is not equivalent to 4b are (b + 4) and b × b × b × b. options B and D.

3. n = 4

4. The number of plants with flowers sold at the nursery is 360.

Length = 5+4 = 9

Width = t

Area of a rectangle = Length × Width

= 9 × t

= 9t

Check all options:

5t+4t

= 9t

t+5+4

= t + 9

9t

4⋅5⋅t

= 20t

t(5+4)

= 9t

A. b + b + b + b

= 4b

B. b + 4

C. 2b + 2b

= 4b

D. b × b × b × b

= b⁴

3. 16 = 4n

divide both sides by 4

n = 16/4

n = 4

4. Number of plants sold at a nursery daily = 400

Percentage of plants sold with flowers = 90%

Number of plants with flowers = 90% × 400

= 0.9 × 400

= 360 plants

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Answer:

  T/V = P/(nR)

Step-by-step explanation:

You want to find T/V from the equation PV = nRT.

T is in the numerator of the ratio you want. V is on the other side of the equation from T, so you can put V in the denominator by dividing both sides of the equation by V:

  \(P=\dfrac{nRT}{V}\)

Now, you can get the ratio T/V by itself by dividing by its coefficient:

  \(\dfrac{P}{nR}=\dfrac{T}{V}\)

Swapping sides gives you the relation you want:

  \(\boxed{\dfrac{T}{V}=\dfrac{P}{nR}}\)

__

Additional comment

Isolating variables and solving equations using the properties of equality should be familiar processes.

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The given statement, "B. If t is a real number that corresponds to the point on the unit circle that lies along the positive y-axis, then tant is undefined" is not true because, Tant is undefined if t is a real integer corresponding to the point on the unit circle that lies along the positive y-axis..

Statement (B) is false: "If t is a real integer corresponding to the point on the unit circle that is along the positive y-axis, then tant is undefined."

The following is an explanation for the aforementioned answer: For 90° and 270° angles, the tangent (tan) function is undefined. It is a standard angle on the unit circle and sits on the positive y-axis, it equates to 90 degrees or pi/2 in radians. The tangent function is not undefined at this angle, as shown below:

tan(pi/2) = undefined

Therefore, statement (B) is not true.

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Based on the random numbers given, the probability that 5 random digits will have at least 3 even digits is D. 3/5.

Based on the given numbers, the numbers that have at least 3 even digits are 6.

They are: 46370, 53480, 49126, 89212, 88241, and 37808.

The probability out of 5 of at least 3 even numbers is:

= Number of 3 digit numbers / Total random numbers

= 6 / 10

= 3 / 5

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Answer:

9/10

Step-by-step explanation:

Guy above is wrong, I took it just now.

Answer:

8:31

Step-by-step explanation:

all of them are equal with 1:4 except 8:31

Answer:

\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)

Step-by-step explanation:

\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)

Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:

\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)

I am joyous to assist you anytime.

The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now., We know that;

cos A = Base / Hypotenuse

cos A = 3 / 4.24

And, cos B = 3 / 4.24

Thus, The value of expression cos A / cos B is,

⇒ cos A / cos B = (3/4.24) / (3/4.24)

⇒ cos A / cos B = 1

So, The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

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A truck can carry either 576 1-foot boxes, 72 2-foot boxes, or 21 3-foot boxes.

The combination of boxes that will result in the highest payment for one truckload is 89 1-foot boxes, 3 2-foot boxes, and 3 3-foot boxes, for a total payment of $3,422.

To find how many boxes of one type will fill a truck, calculate the volume of the truck and divide it by the volume of one box.

Volume of the truck = 12 ft × 6 ft × 8 ft = 576 cubic feet

Volume of a 1-foot box = 1 ft × 1 ft × 1 ft = 1 cubic foot

Number of 1-foot boxes that will fill the truck = 576 cubic feet / 1 cubic foot = 576 boxes

Volume of a 2-foot box = 2 ft × 2 ft × 2 ft = 8 cubic feet

Number of 2-foot boxes that will fill the truck = 576 cubic feet / 8 cubic feet = 72 boxes

Volume of a 3-foot box = 3 ft × 3 ft × 3 ft = 27 cubic feet

Number of 3-foot boxes that will fill the truck = 576 cubic feet / 27 cubic feet = 21.33 boxes (rounded down to 21 boxes)

Therefore, a truck can carry either 576 1-foot boxes, 72 2-foot boxes, or 21 3-foot boxes.

To determine the combination of box types that will result in the highest payment for one truckload, calculate the total payment for each combination of box types.

Let x be the number of 1-foot boxes, y be the number of 2-foot boxes, and z be the number of 3-foot boxes in one truckload.

The volume of the boxes in one truckload is:

V = x(1 ft)³ + y(2 ft)³ + z(3 ft)³

V = x + 8y + 27z

The payment for one truckload is:

P = 5x + 25y + 100z

To maximize P subject to the constraint that the volume of the boxes does not exceed the volume of the truck:

x + 8y + 27z ≤ 576

Use the method of Lagrange multipliers to solve this optimization problem:

L(x, y, z, λ) = P - λ(V - 576)

L(x, y, z, λ) = 5x + 25y + 100z - λ(x + 8y + 27z - 576)

Taking partial derivatives and setting them equal to zero:

∂L/∂x = 5 - λ = 0

∂L/∂y = 25 - 8λ = 0

∂L/∂z = 100 - 27λ = 0

∂L/∂λ = x + 8y + 27z - 576 = 0

From the first equation, we get λ = 5.

Substituting into the second and third equations, y = 25/8 and z = 100/27. Since x + 8y + 27z = 576, x = 268/3.

Round these values to the nearest integer because no fraction for a box. Rounding down, x = 89, y = 3, and z = 3.

Therefore, the combination of boxes that will result in the highest payment for one truckload is 89 1-foot boxes, 3 2-foot boxes, and 3 3-foot boxes, for a total payment of $3,422.

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we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

A measure οf a grοup οf values' variance οr dispersiοn in statistics is called the standard deviatiοn. When the standard deviatiοn is lοw, the values are mοre likely tο fall within a narrοw range, alsο knοwn as the expected value, whereas when the standard deviatiοn is high, the values tend tο be clοser tο the mean.

The lοwercase Greek letter sigma, which stands fοr the pοpulatiοn standard deviatiοn, οr the Latin letter s, which stands fοr the sample standard deviatiοn, are mοst frequently used in mathematical equatiοns and texts tο represent standard deviatiοn. Standard deviatiοn is alsο sοmetimes referred tο as SD.

suppοse that οn a 100-pοint test, the teacher's gοal is fοr her students' exam scοres tο have a standard deviatiοn οf at mοst 8 pοints.

chi²\(= (n-1)*s^2 /\sigma^2\)

where n is the sample size, s is the sample standard deviatiοn, and sigma is the hypοthesized pοpulatiοn standard deviatiοn under the null hypοthesis.

In this case, n = 25, s = 9.5, and sigma = 8. Substituting these values, we get:

chi² \(= (25-1)*9.5^2 / 8^2 = 33.64\)

The degrees οf freedοm fοr this test is n-1 = 24. Using a chi-squared table with 24 degrees οf freedοm, we find that the critical value fοr a οne-tailed test at a 5% level οf significance is 36.42.

Therefοre, we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

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When the opposite sides of a parallelogram ABCD are equal, the values of x and y are 17 and 10, respectively.

A parallelogram is a basic quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure. A parallelogram is a sort of quadrilateral with opposing pairs of sides that are parallel and equal. Parallelograms are classified into four categories, three of which are exceptional. Parallelograms, squares, rectangles, and rhombuses are the four kinds. A parallelogram is a quadrilateral with opposing sides that are parallel and equal. It has equal interior opposite angles.

Here,

in parallelogram ABCD, opposite sides is equal.

4y-3=37

4y=40

y=10

3x-9=42

3x=51

x=17

The values of x and y is 17 and 10 in parallelogram ABCD when opposite sides is equal.

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The expression 24x - 56y + 72 can be factored as 8(3x - 7y + 9).

Part A - The first step in factoring the expression 24x - 56y + 72 is to look for any common factors among the terms.

Part B - Let's proceed with factoring the expression 24x - 56y + 72:

Factor the expression.24x - 56y + 72 can be factored as follows:24x - 56y + 72 = 8(3x - 7y + 9)Therefore, the expression 24x - 56y + 72 can be factored as 8(3x - 7y + 9).

Step 1: Look for the common factors among the coefficients: The common factor among 24, 56, and 72 is 8.

Step 2: Divide each term by the common factor of 8:

(24x/8) - (56y/8) + (72/8)

This simplifies to:

3x - 7y + 9

Therefore, the expression 24x - 56y + 72 can be factored as 8(3x - 7y + 9).

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The values of the expressions are as follows:

a. f(g(6)) = 121

b. g(f(9)) = 161

c. f(g(8)) = 225

d. g(f(3)) = 17

e. f(f(2)) = 16

f. g(f(g(4))) = 97

To evaluate each expression, we first need to find the value of the inner function. For example, in expression a, the inner function is g(6). We find the value of g(6) by looking at the graph of g(x) and finding the point where x = 6. The y-value at this point is 121, so g(6) = 121.

Once we have the value of the inner function, we can find the value of the outer function by looking at the graph of f(x) and finding the point where x is the value of the inner function. For example, in expression a, the outer function is f(x). We find the value of f(121) by looking at the graph of f(x) and finding the point where x = 121. The y-value at this point is 161, so f(g(6)) = 161.

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The domain of the function g(x) = –⌊x⌋ + 3 is (a) {x| x is a real number}

The function is given as

g(x) = –⌊x⌋ + 3

The above is a step function, and the domain is the set of input values it can accept

Step functions of the given form can accept any real value of x

Hence, the domain of the function g(x) = –⌊x⌋ + 3 is (a) {x| x is a real number}

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Complete question

The graph of the step function g(x) = –⌊x⌋ + 3 is shown. What is the domain of g(x)? {x| x is a real number} {x| x is an integer} {x| –2 ≤ x < 5} {x| –1 ≤ x ≤ 5}

Answer:

A

Step-by-step explanation:

the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.

How to solve the question?

In polar coordinates, a graph of a function passes through the origin if and only if the function's value at θ=0 is equal to zero. This is because the origin in polar coordinates represents the point (r=0, θ), where r is the distance from the origin and θ is the angle of the point with respect to the positive x-axis. When a function's value at θ=0 is equal to zero, it means that the point on the graph at θ=0 lies on the positive x-axis and has a distance of r=0 from the origin, which is the origin itself.

In contrast, a graph of a function in rectangular coordinates passes through the origin if and only if the function's value at (0,0) is equal to zero. This is because the origin in rectangular coordinates represents the point where the x and y axes intersect, and a point on the graph with coordinates (x,y) passes through the origin if and only if x=0 and y=0, which means the function's value at (0,0) is equal to zero.

In summary, the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.

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Answer:

256

Step-by-step explanation:

The quotient of the given expression will be 256.

From the given data

\(=\dfrac{2^{4} }{2^{-4} }\)

Now it will become

\(2^{4} \times 2^{4} = 2^{8} =256\)

Thus the quotient of the given expression will be 256

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The main difference is interest charged for a payday loan is typically over a short period, whereas  credit card represents the annualized interest rate over a year.

The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.

For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.

This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.

On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.

If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.

In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.

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Given:

\(\sin \theta <0\)

\(\tan \theta <0\)

To find:

The quadrant in which \(\theta\) lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only \(\sin\theta\) and \(\csc\theta\) are positive.

In Quadrant III, only \(\tan\theta\) and \(\cot\theta\) are positive.

In Quadrant IV, only \(\cos\theta\) and \(\sec\theta\) are positive.

We have,

\(\sin \theta <0\)

\(\tan \theta <0\)

Here, \(\sin\theta\) is negative and \(\tan\theta\) is also negative. It is possible, if \(\theta \) lies in the Quadrant IV.

Therefore, the correct option is D.

The question is testing knowledge on subsets. The application of combinations is used to sum up. Consider prime factors between 1 and 11. They are{1,2,3,4,5,6,7,8,9,10,11}.

The prime factors in the set are {2,3,5,7,11}. This set has 5 elements.

Apply combinations to obtain the total subsets.

The subsets with 1 element is 5C1 = 5 subsets

The subsets with 2 elements is 5C2= 10 subsets

The subsets with 3 elements is 5C3= 10 subsets

The subsets with 4 elements is 5C4= 5 subsets

The subsets with 5 elements is 5C5= 1 subset

The total non-empty subsets are 5+10+10+5+1 = 31 subsets.

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9514 1404 393

Answer:

Step-by-step explanation:

Angle BAD is an inscribed angle, so is half the measure of the arc it intercepts. Chord BD is on the far side of the circle's center from vertex A, so the arc intercepted by angle BAD is less than 180°. This means angle BAD is less than 180°/2 = 90°.

  ∠BAD < 90°

__

Angles BAD and BCD are supplementary, so if one is less than 90°, the other must be greater than 90°.

  ∠BCD > 90°

Answer: I would say that it is equal to.

Step-by-step explanation: The angle in the bottom corner of the triangle is a right angle if you measure it with a protractor.

Answer:

23.6

Step-by-step explanation:

→ Identify length not given

Opposite

→ Find a formula without opposite

Cos = Adjacent ÷ Hypotenuse

→ Rearrange

Adjacent = Cos × Hypotenuse

→ Substitute

cos 38 × 30 = 23.6

Answer:

\(x = 23.6\)

Step-by-step explanation:

To find the missing side of a right-angled triangle, first look at the given angle, and notice its relationships with the given and required sides.

In this case:

• The side adjacent to the given 38° angle is \(x\) (required).

• The hypotenuse is 30 units.

The trigonometric ratio that relates the adjacent side and hypotenuse of a triangle is cosine (cos), where:

\(\boxed{cos \space\ \theta = \frac{adjacent}{hypotenuse}}\).

Substituting into the formula:

\(cos (38^{\circ}) = \frac{x}{30}\)

⇒ \(x = cos(38^{\circ}) \times 30\)

⇒ \(x = 23.6\)

According to the information provided, she plans to take a red beaded 7/15 times.

A male usually brags about dating or hooking up with a lady when he says, "I bagged her." Some people believe that being "clinched" by a guy can also refer to having one's chastity "stolen" or "robbed." It alludes to going on the hunt and capturing prey.

Create a strategy based on the given circumstances: 1 * 7/(8+7)

Determine the total or difference : 7/15

Calculate the difference or sum : 7/15

She therefore expects to take a red thread 7/15 times.

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The perimeter of a rectangle is 2x+6 units and the area of a rectangle is 5x-10 square units.

Given that, the breadth of a rectangle =5 units and the length of a rectangle =(x-2) units.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Here, perimeter =2(x-2+5)

= 2(x+3)

= 2x+6 units

Area of a rectangle =length × width

= (x-2) × 5

= 5x-10 square units

Therefore, the perimeter of a rectangle is 2x+6 units and the area of a rectangle is 5x-10 square units.

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The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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Answer:

(4c + b)(12c - b)

Step-by-step explanation:

- b² + 48c² + 8bc ← rearrange

48c² + 8bc - b² ( split the middle term )

= 48c² + 12bc - 4bc - b² ( factor first/second and third/fourth terms )

= 12c(4c + b) - b(4c + b) ← factor out (4c + b) from each term

= (4c + b)(12c - b)