The profit Mrs. Kelly makes from making and selling x pairs of earrings is represented by
10−(2+23)
10x − (2x + 23). Which expression is equivalent?
Group of answer choices

8 - 23
8x− 23

−15 − 15
x 31 31

8+23

the first one

100x² + 20x +1

its a factor of different 2 squares

(10x - 1 )²

Answer:

  (c)  144x² -49y²

Step-by-step explanation:

In order for the pattern for factoring the difference of squares to apply, the expression must be a binomial whose terms are squares and whose value is their difference.

A. 100x² +20x +1 = (10x +1)² . . . . . it is a square, not the difference of squares

B. x² +4x -12 = (x² +4x +4) -16 = (x +2)² -4² . . . . can be written as the difference of squares (see comment below)

C. 144x² -49y² = (12x)² -(7y)² . . . . the difference of squares

D. 14x -16 = 14x -4² . . . . first term is not a square.

The answer choice that matches the pattern "difference of squares" is ...

  144x² -49y²

__

Additional comment

Virtually any quadratic that is not a perfect square can be written in a way that would allow it to be factored as the difference of squares. (This is what we do when we "complete the square.) Answer choice B is an example of this. If the "difference of squares" factoring were expanded in that case, it would look like ...

  = (x+2 +4)(x+2 -4) = (x +6)(x -2)

This doesn't really match the pattern (a +b)(a -b), so the trinomial given in the answer choice is not really a candidate for factoring using the difference of squares pattern for a binomial.

The parallax problem is a phenomenon that arises when measuring the distance to a celestial object by observing its apparent shift in position relative to background objects due to the motion of the observer.

The parallax effect is based on the principle of triangulation. By observing an object from two different positions, such as opposite sides of Earth's orbit around the Sun, astronomers can measure the change in its apparent position. The greater the shift observed, the closer the object is to Earth.

However, the parallax problem introduces challenges in accurate measurement. Firstly, the shift in position is extremely small, especially for objects that are very far away. The angular shift can be as small as a fraction of an arcsecond, requiring precise instruments and careful measurements.

Secondly, atmospheric conditions, instrumental limitations, and other factors can introduce errors in the measurements. These errors need to be accounted for and minimized to obtain accurate distance calculations.

To overcome these challenges, astronomers employ advanced techniques and technologies. High-precision telescopes, adaptive optics, and sophisticated data analysis methods are used to improve measurement accuracy. Statistical analysis and error propagation techniques help estimate uncertainties associated with parallax measurements.

Despite the difficulties, the parallax method has been instrumental in determining the distances to many stars and has contributed to our understanding of the scale and structure of the universe. It provides a fundamental tool in astronomy and has paved the way for further investigations into the cosmos.

For more such questions on  parallax problem

https://brainly.com/question/17057769

#SPJ8

Answer: Credit cards

Step-by-step explanation:

(you can search it up as well)

Answer:

Answer Below

Step-by-step explanation:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Answer:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Step-by-step explanation: Solve for values of all, then check if the equation makes sense.

The correct option is Option D) The consistency with which several individuals can complete the questionnaire without making an error is one technique to determine a questionnaire validity.

A questionnaire is a sort of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a collection of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Despite the fact that surveys are frequently created so that the answers may be statistically analyzed. Consequently, it may not be practical to conduct a survey using a questionnaire for some demographic groups.

Learn more about questionnaire.

brainly.com/question/22889092

#SPJ4

The surface area of the triangular prism is 3064 square meters.

To calculate the surface area of a triangular prism, we need to find the area of each face and then add them together.

First, let's find the area of the triangular base. The area of a triangle is given by:

Area = (1/2) x base x height

So the area of the triangular face is:

Area = (1/2) x 32 x 30 = 480 square meters

Next, we need to find the area of the two rectangular faces. Each rectangular face is a rectangle with a length of 38 meters and a width of one of the sides of the triangle, which is 34 meters. So the area of each rectangular face is:

Area = length x width = 38 x 34 = 1292 square meters

To find the total surface area, we add up the areas of all three faces:

Surface area = 2 x Area of rectangular face + Area of triangular face

= 2 x 1292 + 480

= 3064 square meters

Therefore, the surface area of the triangular prism is 3064 square meters.

Learn more about Triangular Prism Surface Area here:

https://brainly.com/question/16765719

#SPJ1

The expression (−4)⁸(−4)⁻⁵(-4)⁰ written as a single power is given by (- 4)³.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

(−4)⁸(−4)⁻⁵(-4)⁰

The given expression is -

(−4)⁸(−4)⁻⁵(-4)⁰

(- 4)⁸ ⁻ ⁵ ⁺ ⁰

(- 4)³

Therefore, the expression (−4)⁸(−4)⁻⁵(-4)⁰ written as a single power is given by (- 4)³.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Option a. One of the most important applications of the definite integral is to determine the area under a curve. It provides a way to find the exact value of the area enclosed between a curve and the x-axis within a given interval.

The definite integral is a mathematical tool that allows us to calculate the area under a curve by summing up an infinite number of infinitesimally small areas.

By dividing the area into small rectangles or trapezoids and taking the limit as the width of these shapes approaches zero, we can accurately calculate the total area. This concept is widely used in various fields such as physics, engineering, economics, and statistics, where calculating areas or finding accumulated quantities is essential.

Learn more about  definite integral here:

https://brainly.com/question/32230103

#SPJ11

The optimal point values for x1, x2, λ, and μ (Lagrange multipliers) in the given problem are:

x1 = 1

x2 = 1

λ = -4

μ = 2

To solve the optimization problem using the Lagrange multipliers technique, we first construct the Lagrangian function L(x1, x2, λ) by incorporating the equality constraint:

L(x1, x2, λ) = f(x1, x2) - λ(g(x1, x2))

Where f(x1, x2) is the objective function, g(x1, x2) is the equality constraint, and λ is the Lagrange multiplier.

In this case, the objective function is f(x1, x2) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6, and the equality constraint is g(x1, x2) = x1 + x2 - 2.

The Lagrangian function becomes:

L(x1, x2, λ) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6 - λ(x1 + x2 - 2)

To find the optimal values, we need to find the critical points by taking partial derivatives of L with respect to x1, x2, and λ and setting them equal to zero. Solving these equations simultaneously, we get:

∂L/∂x1 = 4x1 - 2x2 - 6 - λ = 0

∂L/∂x2 = -2x1 + 2 + λ = 0

∂L/∂λ = -(x1 + x2 - 2) = 0

Solving these equations, we find x1 = 1, x2 = 1, and λ = -4. Substituting these values into the equality constraint, we can solve for μ:

x1 + x2 - 2 = 1 + 1 - 2 = 0

Therefore, μ = 2.

The optimal point values for the variables in the optimization problem are x1 = 1, x2 = 1, λ = -4, and μ = 2. The Lagrange multipliers λ and μ represent the rates of change of the objective function and the equality constraint, respectively, with respect to the variables. They provide insights into the sensitivity of the objective function to changes in the constraints and can indicate the impact of relaxing or tightening the constraints on the optimal solution. In this case, the Lagrange multiplier λ of -4 indicates that a small increase in the equality constraint (x1 + x2 - 2) would result in a decrease in the objective function value. The Lagrange multiplier μ of 2 indicates the shadow price or the marginal cost of satisfying the equality constraint.

To know more about optimal point values visit:

https://brainly.com/question/9429432

#SPJ11

If Benitez Company decides to make the switches internally, the total costs will include unit-level costs, batch-level costs, product-level costs, and the cost of utilizing the factory space will be $214,100.

Here's the breakdown:
1. Unit-level material cost:

$5 per switch x 7,000 switches = $35,000
2. Unit-level labor cost:

$4 per switch x 7,000 switches = $28,000
3. Unit-level overhead:

$3 per switch x 7,000 switches = $21,000
4. Batch-level set-up cost:

$33,000 (since it's already an annual cost)
5. Product-level supervisory salaries:

$41,500
6. Allocated facility-level costs:

$28,000
7. Cost of utilizing the factory space:

$2,300 per month x 12 months = $27,600
Total costs if the company makes the parts internally: $35,000 + $28,000 + $21,000 + $33,000 + $41,500 + $28,000 + $27,600 = $214,100.

To know more about  product-level, visit:

/brainly.com/question/29315527

#SPJ11

Answer:

371 meters

Step-by-step explanation:

This is a triangle trigonometry problem. The phase "angle of depression" means the angle looking down to the boat instead of looking straight out from the top of the tower. See image. You can then find the rest of the angle is 70°. Looking at the boat creates one line, the tower is another side, 135m, and the distance to the boat is the third side of a triangle. See image.

Tangent is a trig ratio. It compares the side opposite from the angle to the side next to (adjacent) the angle. We can then write an equation. Unless the teacher/program/text gives you tan 70°, you need a calculator to find it.

tan 70° = x/135

Multiply both sides by 135.

135 tan 70° = x

Put this in a calculator.

135 × tan70°

it comes out a long decimal. But the directions said to round to the nearest meter.

The boat is about 371 meters away from the foot of the tower.

Answer:

16 yards of barbed wire

Step-by-step explanation:

Length=5 yards

Width=3 yards

Perimeter of the pasture=2(length + width)

=2(5 yards +3 yards)

=2(8 yards)

=16 yards

You should order 16 yards of barbed wire for fencing the pasture

Answer: so a 1 and 1/2 bag will cover 375

1=2/2

1 and 1/2=2/2 and 1/2=3/2

so 3/2 pound covers 375

2/2 pounds covers x

3/2pound=375

multiply both sides by 2 to get rid of the fraciton

3pound=750

divide both sides by 3

1pound=250 square feet so the answer is c. 250 square feet

Step-by-step explanation:

Answer:

Yea i think it is the first one

Step-by-step explanation:

By the principle of mathematical induction, the equation 1 + 3 + 5 + ⋯ + (2n - 1) = n² holds true for all positive integers n.

1) In the expression 10n³ + 8n - 4, we can determine whether the value is an odd or even integer by evaluating it for different values of n.

Let's substitute some values of n and observe the pattern:

For n = 0:

10(0)³ + 8(0) - 4 = 0 - 4 = -4 (even)

For n = 1:

10(1)³ + 8(1) - 4 = 10 + 8 - 4 = 14 (even)

For n = 2:

10(2)³ + 8(2) - 4 = 80 + 16 - 4 = 92 (even)

Based on these evaluations, we can see that the expression always yields an even integer for any value of n. This can be justified by the fact that the sum and product of even integers is always even, and the constant term (-4) does not affect the parity of the result.

Therefore, the expression 10n³ + 8n - 4 always gives an even integer.

2) To prove that for every integer n such that 0 ≤ n < 3, (n + 1)² > n³ using direct proof, we need to consider the three possible cases: n = 0, n = 1, and n = 2.

Case 1: n = 0

(0 + 1)² = 1 > 0³ (true)

Case 2: n = 1

(1 + 1)² = 4 > 1³ (true)

Case 3: n = 2

(2 + 1)² = 9 > 2³ (true)

Since the inequality holds true for all values of n in the given range, we can conclude that (n + 1)² > n³ for 0 ≤ n < 3.

3) The product of two odd integers is always an odd integer. Let's prove this statement using direct proof.

Let's assume that we have two odd integers, m and n. By definition, an odd integer can be represented as 2k + 1, where k is an integer.

The product of m and n can be written as:

m = 2a + 1

n = 2b + 1

m * n = (2a + 1)(2b + 1)

      = 4ab + 2a + 2b + 1

      = 2(2ab + a + b) + 1

Since 2ab + a + b is an integer, we can represent it as c, where c is an integer.

Therefore, m * n can be written as:

m * n = 2c + 1

By definition, 2c + 1 represents an odd integer.

Hence, the product of two odd integers is an odd integer.

4) The sum 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷ + 2⁸ can be expressed using summation notation as:

∑(i=2 to 8) 2^i

This represents the sum of the powers of 2 from 2² to 2⁸.

5) To prove by induction that 1 + 3 + 5 + ⋯ + (2n - 1) = n², we need to follow the steps of the induction proof:

Base Case:

For n = 1, the left-hand side (LHS) is 1, and the right-hand side (R

HS) is 1² = 1. So the equation holds true for the base case.

Inductive Step:

Assume that the equation holds true for some positive integer k:

1 + 3 + 5 + ⋯ + (2k - 1) = k²

Now, we need to prove that it holds true for k + 1 as well:

1 + 3 + 5 + ⋯ + (2k - 1) + (2(k + 1) - 1) = (k + 1)²

Adding (2(k + 1) - 1) to both sides:

1 + 3 + 5 + ⋯ + (2k - 1) + (2k + 1) = (k + 1)²

By the assumption, we can substitute k² for the left-hand side:

k² + (2k + 1) = (k + 1)²

Expanding and simplifying:

k² + 2k + 1 = k² + 2k + 1

Both sides are equal, which confirms that the equation holds true for k + 1 as well.

By the principle of mathematical induction, the equation 1 + 3 + 5 + ⋯ + (2n - 1) = n² holds true for all positive integers n.

Learn more about integers here

https://brainly.com/question/929808

#SPJ11

No, x and y are not independent. The joint pdf contains a term that depends on both x and y, which means that the value of x affects the value of y and vice versa.

Therefore, they are not independent. To determine if random variables X and Y are independent, we can analyze their joint probability density function (PDF). If the joint PDF can be expressed as the product of their marginal PDFs, then X and Y are independent. In this case, you haven't provided the joint PDF function or the constant c. However, the general approach is to integrate the joint PDF over one variable to find the marginal PDFs. Next, multiply the marginal PDFs together and compare the result to the joint PDF. If they are equal, X and Y are independent. If not, they are dependent. Please provide the joint PDF for further assistance.

To know more about variables visit:

https://brainly.com/question/15078630

#SPJ11

The slope of the line that passes through the points (x1, y1) is computed as follows:

Given that the line passes through (-2,3) and (0,2)​, then its slope is:

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept

Replacing the point (0, 2) and m = -1/2 into the general equation, we get:

2 = -1/2(0) + b

2 = b

Then, the equation of the line is:

y = -1/2x + 2

We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.

The experimental probability that you will roll a three on your next roll is 70%.

To calculate the experimental probability of rolling a number three on the next roll, we need to use the data given in the problem. Out of the 20 rolls that were performed, the number three was rolled 14 times.

The experimental probability is calculated by dividing the number of times the event occurred (in this case, rolling a number three) by the total number of trials.

So, the experimental probability of rolling a number three on the next roll is:

14/20 or 7/10

This means that based on the data from the previous 20 rolls, there is a 70% chance of rolling a number three on the next roll.

To learn more about probability click on,

https://brainly.com/question/29181048

#SPJ4

The degree measure of  ∠AED is 100° degrees.

∠AED = 100°

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

You can use the fact that mean of the opposite arc made by an intersecting chord is a measure of angle made by those intersecting line with each other that faces those arcs.

How to find a measure of  ∠AED?

For the given figure. we have:

m∠AFC = m∠DEB = 1/2 (arc AC + arc AB) = 120 + 2x

4x = 1/2(120 + 2x)

x =20

Thus, we have:

∠AEC = 4x = 80°

Since angle AEC and AED add up to 180 degrees(since they make a straight line), thus:

m∠AEC + ∠AED = 180°

∠AED = 100°

Thus, we have a measure of angle AED as:

∠AED = 100°

To learn more about the circle visit:

brainly.com/question/11833983

#SPJ1

Complete question:

In the diagram shown, chords AB and CD intersect at E. The measure of (AC) is 120°, the measure of (DB) is (2x)° and the measure of ∠AEC is (4x)°. What is the degree measure of ∠ AED?

Answer:

\(\frac{11}{15} \)

Step-by-step explanation:

\(\frac{1}{3} \) + \(\frac{2}{5} \)

The least common multiple of 3 and 5 is 15. Convert \(\frac{1}{3} \) and \(\frac{2}{5} \) to fractions with denominator 15.

\(\frac{5}{15} \) + \(\frac{6}{15} \)

Since \(\frac{5}{15} \) and \(\frac{6}{15} \) have the same denominator, add them by adding their numerators.

\(\frac{5+6}{15} \)

Add 5 and 6 to get 11.

\(\frac{11}{15} \)

Hope it helps and have a great day! =D

​

Answer:

C

Step-by-step explanation:

No function f(r,θ) is given, we cannot evaluate the integral further.

To write ∬rfda as an iterated integral in polar coordinates for the given region rr, we need to determine the limits of integration for r and θ.

Let's first look at the region rr. From the given graph, we can see that the region is bounded by the circle with radius 3 centered at the origin. Therefore, we can express the region as:

r ≤ 3

To determine the limits for θ, we need to examine the region rr more closely. We can see that the region is symmetric about the x-axis, which means that the limits for θ are:

0 ≤ θ ≤ π

Now, we can write the iterated integral as:

∬rfda = ∫₀³ ∫₀ᴨ f(r,θ) r dθ dr

where f(r,θ) is the integrand function and r and θ are the limits of integration. Note that r is integrated first, followed by θ.

In this case, since no function f(r,θ) is given, we cannot evaluate the integral further.

Learn more about iterated integral

brainly.com/question/29632155

#SPJ11

(a) Subset {13, 4, 5} is represented by the bit string 0100010110, where each bit corresponds to an element in the universal set U. (b) Subset {12, 3, 4, 7, 8, 9} is represented by the bit string 1000111100, with 1s indicating the presence of the corresponding elements in U.

(a) Subset {13, 4, 5} can be represented as a bit string as follows:

Bit string: 0100010110

Since the universal set U has 10 elements, we create a bit string of length 10. Each position in the bit string represents an element from U. If the element is in the subset, the corresponding bit is set to 1; otherwise, it is set to 0.

In this case, the positions for elements 13, 4, and 5 are set to 1, while the rest are set to 0. Thus, the bit string representation for {13, 4, 5} is 0100010110.

(b) Subset {12, 3, 4, 7, 8, 9} can be represented as a bit string as follows:

Bit string: 1000111100

Following the same approach, we create a bit string of length 10. The positions for elements 12, 3, 4, 7, 8, and 9 are set to 1, while the rest are set to 0. Hence, the bit string representation for {12, 3, 4, 7, 8, 9} is 1000111100.

To know more about subsets:

https://brainly.com/question/28705656

#SPJ4

--The given question is incomplete, the complete question is given below " Suppose that the universal set is U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Express each of the following subsets with bit strings (of length 10) where the ith bit (from left to right) is 1 if i is in the subset and zero otherwise. (a) 13, 4,5 (b) 12,3,4,7,8,9 "--

Answer:  The correct answer is: " m = 5 ."

_________________________

Step-by-step explanation:

_________________________

Given:

 " m - 2 = 3 " ; Solve for "m" .

_________________________

Add "2" to each side of the equation;

to isolate the variable, "m" ; on the "left-hand side" of the equation;

  and to solve for: "m" ;

________________________

 " m - 2 + 2 = 3 + 2 " ;

________________________

 →  m  = 5 ; which is the correct answer.

_________________________

Hope this is helpful.

 Best wishes!

_________________________

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

The coefficient

Step-by-step explanation:

Answer: i think you should label it with numbers first

maybe??

Step-by-step explanation:

The critical value for the 0.05 level of significance is k = 21.

To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.

We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.

So, we want to find the smallest k such that:

P(X <= k) >= 1 - 0.05

where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.

The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.

This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.

To learn more about critical value here:

https://brainly.com/question/30168469

#SPJ4